at is p?
-1
Suppose -2*t + 52 = 2*h, t - 3*t + 8 = 0. Suppose 0 = -5*c - 3*k + h, -c + 19 = 2*c - 4*k. Factor -7*b**4 + 7*b**4 + 4*b**3 - 2*b - 2*b**c.
-2*b*(b - 1)**2*(b + 1)**2
Find j such that 402*j**2 - 10*j - 811*j**2 + 8 + 411*j**2 = 0.
1, 4
Suppose 2*u = u + 22. Factor u*a**3 + 12*a**4 - 3*a**2 - 15*a**4 + 27*a**2 + 8*a + 9*a**4.
2*a*(a + 1)*(a + 2)*(3*a + 2)
Let r = 10 - 6. Let h be (9/(-6))/((-3)/r). Find g, given that 0*g + 0*g - 2*g - 2*g**h = 0.
-1, 0
Let 304*c - 24*c**2 - 336*c - 4*c**2 + 20*c**3 + 16 = 0. What is c?
-1, 2/5, 2
Let u(n) = -n - 1. Let w be u(-1). Let d(x) be the second derivative of w - 1/40*x**5 + 0*x**2 + 2*x + 0*x**4 + 0*x**3. Factor d(s).
-s**3/2
Let g(d) be the second derivative of d**7/6 - 2*d**6/5 + 3*d**5/20 + d**4/6 - 24*d. Solve g(a) = 0.
-2/7, 0, 1
Factor -2/5*y**2 + 6/5*y + 8/5.
-2*(y - 4)*(y + 1)/5
Suppose 0 = -5*h + 25, -45 = -2*y + 4*h + h. Let i be (-15)/y - (-9)/21. Factor 0*k**2 + 0*k - 3/2*k**4 + 0*k**3 - 3/2*k**5 + i.
-3*k**4*(k + 1)/2
Let p(r) = r**2 - 2*r + 1. Let b(y) = -y**2 + 2*y - 1. Suppose -2 = 2*m + 5*j, 5*j + 20 = -5*m - 0*j. Let q(x) = m*b(x) - 7*p(x). Factor q(d).
-(d - 1)**2
Let b(r) be the second derivative of r**5/110 + r**4/11 + 3*r**3/11 + 4*r**2/11 - 29*r. Factor b(s).
2*(s + 1)**2*(s + 4)/11
Suppose 8*t**4 - 11*t**5 - 4*t**3 + 18*t**5 - 11*t**5 = 0. What is t?
0, 1
Suppose 0 = -5*m + 9 + 6. Let x(q) be the first derivative of 55*q**5 + 1 + 105/2*q**4 + 125/6*q**6 + 4*q**2 + 0*q + 68/3*q**m. Let x(g) = 0. What is g?
-1, -2/5, 0
Suppose 3 - 33 = -3*k. Suppose w + 4*w = k. Factor 2*c**2 + 3 - w*c - 2*c - 1.
2*(c - 1)**2
Suppose -3*c = -c - 6. Determine u so that -4*u**3 - 3*u**2 - 11*u**4 + 11*u**4 - 2*u**3 - c*u**4 = 0.
-1, 0
Solve -2/3*z + 0 - 10/3*z**2 = 0.
-1/5, 0
Suppose -4*t**2 + 2*t**2 - t + t**2 = 0. Calculate t.
-1, 0
Suppose 7*t - 36 = 4*t. Suppose t*k = 8*k. Suppose k*g**2 + 1/4*g**4 + 1/2*g - 1/4 - 1/2*g**3 = 0. Calculate g.
-1, 1
Let f(w) be the first derivative of -4*w**3/3 - 6*w**2 - 8*w - 29. Find g such that f(g) = 0.
-2, -1
Let l be (26/130)/((-34)/40 - -1). Let -2/3 - l*d - 2/3*d**2 = 0. What is d?
-1
Let f(o) be the first derivative of -o**4/18 - 2*o**3/27 + o**2/9 + 2*o/9 + 4. Factor f(p).
-2*(p - 1)*(p + 1)**2/9
Find m such that 4*m - 4/3*m**2 - 8/3 = 0.
1, 2
Let 8/3 + 4/3*q - 4/3*q**3 - 8/3*q**2 = 0. Calculate q.
-2, -1, 1
Let l(i) be the third derivative of 5/21*i**4 + 8/21*i**3 + 1/140*i**6 + 1/15*i**5 + 0*i + 0 + i**2. Solve l(f) = 0 for f.
-2, -2/3
Let n(j) be the third derivative of 7*j**6/660 + 8*j**5/165 + j**4/33 + 6*j**2. Factor n(h).
2*h*(h + 2)*(7*h + 2)/11
Let y(c) be the third derivative of 0 + 3*c**2 + 1/24*c**4 - 1/420*c**7 + 0*c - 1/80*c**6 + 1/120*c**5 + 1/672*c**8 + 0*c**3. Let y(m) = 0. Calculate m.
-1, 0, 1, 2
Let x(y) be the second derivative of -3*y**5/80 - y**4/24 + y**3/24 - 22*y. Suppose x(r) = 0. What is r?
-1, 0, 1/3
Let y(f) be the first derivative of 1/6*f**3 + 0*f - 1/20*f**5 + 1/16*f**4 + 0*f**2 - 2. Factor y(v).
-v**2*(v - 2)*(v + 1)/4
Suppose -7*l + 8 = -3*l. Suppose -3*j + 10 = l*j. Find q, given that 14*q + 12 - q + 3*q**j - q = 0.
-2
Let c(i) be the third derivative of i**6/180 - i**5/30 + i**4/18 + 3*i**2. What is h in c(h) = 0?
0, 1, 2
Let q = -136 + 684/5. Factor -q*a + 4/5*a**3 + 2/5*a**4 - 2/5 + 0*a**2.
2*(a - 1)*(a + 1)**3/5
Let q(j) be the third derivative of -j**9/1512 + j**7/420 - j**3/3 - j**2. Let v(n) be the first derivative of q(n). What is g in v(g) = 0?
-1, 0, 1
Let n(x) = 15*x**5 - 15*x**4 - 11*x**2 - 11*x - 11. Let p(v) = 5*v**5 - 5*v**4 - 4*v**2 - 4*v - 4. Let z(b) = -4*n(b) + 11*p(b). Factor z(s).
-5*s**4*(s - 1)
Let h = 118 + -941/8. Let o = h - -1/8. Factor 3/2*n - 1 - o*n**2.
-(n - 2)*(n - 1)/2
Let l(k) = -k**2 + k - 1. Let d = -10 + 16. Let f(m) = 21*m**3 - 33*m**2 + 12*m - 6. Let n(a) = d*l(a) - f(a). Factor n(r).
-3*r*(r - 1)*(7*r - 2)
Let b(o) be the first derivative of -o**3/9 - o**2/6 + 2*o - 12. Solve b(s) = 0.
-3, 2
Let k = 21 - 18. Factor -k*y**2 - 8 - y**2 + 8 + 4*y**4.
4*y**2*(y - 1)*(y + 1)
Let i(t) = t**2 - 2*t + 4. Let y be i(2). Suppose 0 = -4*w - 12, y*z - 3 = -3*w - 0. Factor 0*u + 0 + 0*u**z + 3/2*u**5 + 3/2*u**4 + 0*u**2.
3*u**4*(u + 1)/2
Suppose -4*s + 13 = 5*o, -6*s + 3*s + 9 = 3*o. Let -4/5 + 14/5*p**2 + s*p = 0. Calculate p.
-1, 2/7
Suppose k - 1 = 1. Let v(i) be the second derivative of -2/27*i**3 + 1/54*i**4 + 0 + 0*i**k + i. Factor v(u).
2*u*(u - 2)/9
Suppose 5*s - 49 + 14 = 0. Let u = -4 + s. Factor 3*k**2 - u*k + k - 3 - 3*k**3 + 6*k**3 - k.
3*(k - 1)*(k + 1)**2
Suppose v = -w - 2*w + 41, 4*w = 2*v + 68. Suppose 3*k + w = 5*y, -4*k - 2*y + 6 = k. Factor 0 + k*p + 2/5*p**4 + 0*p**3 - 2/5*p**2.
2*p**2*(p - 1)*(p + 1)/5
Let q be (-12)/(-91) - (-20)/130. Let t = -3 - -6. Suppose 0 + q*b - 2/7*b**4 + 2/7*b**2 - 2/7*b**t = 0. Calculate b.
-1, 0, 1
Let q be 16/44*11/6. Solve 2/3 + 4*y**2 - 8/3*y**3 + q*y**4 - 8/3*y = 0.
1
Let j(g) be the second derivative of -3*g**5/80 - 5*g**4/48 + g**3/6 + g**2/2 + g. Factor j(l).
-(l - 1)*(l + 2)*(3*l + 2)/4
Let q(j) be the third derivative of -7/300*j**5 + 1/30*j**3 + 1/60*j**4 - j**2 + 0 + 1/150*j**6 + 0*j. What is x in q(x) = 0?
-1/4, 1
Let d(z) be the second derivative of z**4/8 - 3*z**3/2 - 21*z**2/4 - 7*z. Factor d(x).
3*(x - 7)*(x + 1)/2
Let u be ((-20)/16)/(10/(-6)). Factor -u*s**3 - 3/4*s**2 + 3/4*s + 3/4*s**4 + 0.
3*s*(s - 1)**2*(s + 1)/4
Let z(t) be the third derivative of -1/210*t**5 + 2/21*t**3 - 1/84*t**4 + 0 + 4*t**2 + 0*t. Factor z(f).
-2*(f - 1)*(f + 2)/7
Let w(f) be the third derivative of -f**6/30 - f**5/15 + 2*f**4/3 + 8*f**3/3 - 4*f**2. Find c, given that w(c) = 0.
-2, -1, 2
Let j(p) be the third derivative of p**8/1120 - p**7/280 + p**6/240 - p**4/8 - 3*p**2. Let u(d) be the second derivative of j(d). Factor u(f).
3*f*(f - 1)*(2*f - 1)
Let p be 3/12*-1*-164. Find j, given that p*j - 29*j - 18*j**2 + 2*j**3 + 42*j - 54 = 0.
3
Let j(l) = -9793*l**2 + 1113*l - 32. Let u(y) = 4896*y**2 - 556*y + 16. Let r(m) = 4*j(m) + 7*u(m). Factor r(w).
-4*(35*w - 2)**2
Let p be 6/(2*-1) + (-55)/(-15). Let w(m) be the first derivative of 2/3*m - 2 + p*m**2 + 2/9*m**3. Factor w(s).
2*(s + 1)**2/3
Let h(o) be the first derivative of 4*o**5/5 - 5*o**4/2 + 5*o**2 - 4*o + 15. Solve h(b) = 0.
-1, 1/2, 1, 2
Let f = 1006 - 5024/5. Let u = 2 + 3. Find h, given that 0 + 2/5*h**2 - 2/5*h**u + 6/5*h**4 - f*h**3 + 0*h = 0.
0, 1
Let i = 53 - 53. Factor h**2 + 1/2*h + i*h**3 - 1/2*h**5 + 0 - h**4.
-h*(h - 1)*(h + 1)**3/2
Suppose -k - 4*k - 500 = 0. Let o be 1/4 + 25/k. Factor -1/2*r**2 + 0*r - 2*r**3 - 3/2*r**4 + o.
-r**2*(r + 1)*(3*r + 1)/2
Let i(l) be the second derivative of 1/24*l**3 + 0 + 1/120*l**6 + 0*l**2 - 5*l - 1/48*l**4 - 1/80*l**5. Suppose i(v) = 0. What is v?
-1, 0, 1
Let t(r) be the second derivative of 0 + 0*r**2 - 1/6*r**4 - 4*r - 2/3*r**3. Factor t(j).
-2*j*(j + 2)
Let i(z) be the first derivative of -z**2/2 - 2*z + 8. Let x be i(-5). What is r in 0 + 16/9*r**x + 2/3*r**4 + 14/9*r**2 + 4/9*r = 0?
-1, -2/3, 0
Let -12*j - 4 - 14*j**3 + 2*j**3 - 3*j**4 - 18*j**2 + 0 + 1 = 0. Calculate j.
-1
Let o = 10 + -39/4. Let w = -3 + 7/2. Let 0 + w*q + o*q**2 = 0. Calculate q.
-2, 0
Let j be 2/(-3) + (-16)/(-6). Let l(x) be the first derivative of 3*x**2 - 3*x**3 - 1 + x**j - 3*x**2. Factor l(s).
-s*(9*s - 2)
Let l(n) = 20*n**3 - 29*n**2 - 2*n - 5. Let p(c) = 7*c**3 - 10*c**2 - c - 2. Let u(q) = -3*l(q) + 8*p(q). Let u(h) = 0. What is h?
-1/4, 1
Let h(w) be the second derivative of w**7/252 + w**6/36 + w**5/15 + w**4/18 - 7*w - 4. Solve h(x) = 0.
-2, -1, 0
Factor -1/2*z + 3/2 - 5/6*z**2 - 1/6*z**3.
-(z - 1)*(z + 3)**2/6
Let f(x) be the second derivative of -7*x**5/90 - 4*x**4/3 - 65*x**3/9 - 50*x**2/9 - 27*x. Let f(k) = 0. What is k?
-5, -2/7
Let z(m) be the second derivative of m**7/42 - 2*m**6/15 + m**5/4 - m**4/6 + 5*m. Let z(f) = 0. What is f?
0, 1, 2
Let c be 1*(2 + -2)/6. Let 0 + 1/3*v**2 + c*v = 0. What is v?
0
Let v(g) be the third derivative of -1/4*g**4 + 0 + 1/6*g**5 - 1/60*g**6 - 3*g**2 - 3*g**3 + 0*g. Suppose v(p) = 0. Calculate p.
-1, 3
Let h be ((-4)/10)/(5/25). Let m be (44/(-462))/(h/24). Factor m - 16/7*t - 2/7*t**3 + 10/7*t**2.
-2*(t - 2)**2*(t - 1)/7
Let m be 36 - -1 - (-4 + 1). Let j be m/(-48)*16/(-30). Factor 0 + j*p**3 + 2