 59*i - 10 + 10*i**2.
-5*(i + 1)**2*(5*i + 2)
Let z(l) be the second derivative of 0 - 1/3*l**4 - 3*l + 0*l**2 + 1/3*l**6 + 0*l**3 + 3/10*l**5. Let z(t) = 0. What is t?
-1, 0, 2/5
Let r(d) be the first derivative of -d**5/540 - d**4/108 - d**3/54 - d**2/2 - 4. Let p(c) be the second derivative of r(c). Determine x so that p(x) = 0.
-1
Let w(n) be the second derivative of 3*n**5/80 - 3*n**4/4 + 6*n**3 - 24*n**2 - 8*n. Let w(t) = 0. Calculate t.
4
Let z(i) = -i**3 + i**2 + 5*i + 3. Let o be z(3). Find f such that -1/2*f**2 + o - 1/2*f = 0.
-1, 0
Let h be 7 + (-1 - (2 - 1)). Let g = 199/10 + -39/2. Factor -g*m**3 + 0*m + 13/5*m**4 + 0*m**2 - 18/5*m**h + 0.
-m**3*(2*m - 1)*(9*m - 2)/5
Let m(f) = -f**2 + f + 1. Let h(j) = -9*j - 2. Let k(p) = 17*p + 4. Let g(t) = -11*h(t) - 6*k(t). Let o(d) = 2*g(d) + 2*m(d). Factor o(u).
-2*(u + 1)**2
Let h(k) be the second derivative of k**4/6 - k**3/2 - 5*k**2/2 + 6*k. Let n(x) = -3*x**2 + 6*x + 9. Let g(m) = 5*h(m) + 3*n(m). Factor g(r).
(r + 1)*(r + 2)
Factor 32*d**3 - 16*d**4 + d**4 - 12*d**2 - 4*d**2 - 5*d**4 + 4*d**5.
4*d**2*(d - 2)**2*(d - 1)
Let m be -2 + -1*(-10)/2. Let x(p) be the first derivative of 0*p - 1/9*p**2 - 1/18*p**4 - 1 + 4/27*p**m. Suppose x(q) = 0. Calculate q.
0, 1
Factor -48*h - 41*h**2 + 5*h**2 - 17 - 1 + 4*h**2.
-2*(4*h + 3)**2
Let a(c) be the first derivative of c**4/4 + 7*c**3/3 + 3*c**2 + 6*c - 1. Let r be a(-6). Solve 3*u**2 + 4*u**4 - u**2 + 0*u**4 - r*u**4 = 0 for u.
-1, 0, 1
Let f(l) be the first derivative of l**6/15 - 4*l**5/25 - l**4/5 + 8*l**3/15 + l**2/5 - 4*l/5 + 20. Solve f(b) = 0 for b.
-1, 1, 2
Let x(k) = -k**2 - 6*k - 6. Let s be x(-4). Let -18 - 3*h**2 + 0*h**3 - 6*h**2 - 2*h**3 - 30*h - 5*h**s = 0. Calculate h.
-3, -1
Let t(n) be the first derivative of -4*n**7/735 - 2*n**6/315 - n**5/420 - 2*n**3/3 + 4. Let r(i) be the third derivative of t(i). Suppose r(x) = 0. Calculate x.
-1/4, 0
Let o(k) be the first derivative of 1/3*k**3 - 1/6*k**2 + 1/15*k**5 - 4 - 1/4*k**4 + 0*k. What is h in o(h) = 0?
0, 1
Factor -4/3 - 4/3*n - 1/3*n**2.
-(n + 2)**2/3
Determine v so that -6*v**2 + 7*v**3 - 3 + 3 - 5*v**3 - 2 + 6*v = 0.
1
Let t(a) be the third derivative of a**5/30 - a**4/6 - a**3 + 10*a**2. Find u, given that t(u) = 0.
-1, 3
Determine o so that -3*o**3 + 5*o**3 + 8*o**3 - 2*o**3 - 4*o**4 = 0.
0, 2
Let r(f) be the second derivative of -f**5/50 - f**4/10 - f**3/5 - f**2/5 - 37*f. Let r(w) = 0. What is w?
-1
Suppose 3*p + 2*p = 0. Suppose -2 = -k - 0. Factor p - 1/2*l + 1/2*l**k.
l*(l - 1)/2
Let r(x) be the first derivative of x**4 + 24*x**3 + 216*x**2 + 864*x - 21. Solve r(f) = 0 for f.
-6
Suppose 2*y + p = -4*p + 30, -1 = -y + p. Suppose 0*i - 2/5*i**y - 14/15*i**3 + 0 + 4/15*i**2 + 16/15*i**4 = 0. What is i?
0, 2/3, 1
Let i(u) be the first derivative of u**6/40 + u**5/20 - u**4/8 - u**3/2 - 3*u**2/2 + 5. Let n(q) be the second derivative of i(q). Find d such that n(d) = 0.
-1, 1
Let w(m) be the second derivative of 0 + 1/189*m**7 + 1/54*m**4 + 0*m**3 + 0*m**2 - 1/90*m**5 - 1/135*m**6 + 4*m. Factor w(p).
2*p**2*(p - 1)**2*(p + 1)/9
Factor 2/5*z**2 - 4/5*z - 6/5.
2*(z - 3)*(z + 1)/5
Suppose 2*r = 4*c + 8, 0 = -2*r + 5*c + 6 + 3. Let -4*m**r + 10*m - 3*m**2 - m**2 - 2 = 0. What is m?
1/4, 1
Let v = 3 - -1. Let u = 6 - v. Determine i, given that 0*i**2 - 2*i + 4 + u*i**3 + 2*i**4 + 0*i**2 - 6*i**2 = 0.
-2, -1, 1
Let u be (-8)/(-3) + (-2)/3. Let h = 2/3 - 4/9. Suppose 8/9*f - 8/9 - h*f**u = 0. Calculate f.
2
Let m(p) be the third derivative of 0*p - 1/240*p**6 - 1/420*p**7 - p**2 + 0 + 0*p**3 + 1/120*p**5 + 1/672*p**8 + 0*p**4. Factor m(z).
z**2*(z - 1)**2*(z + 1)/2
Suppose 24 = -10*u + 22*u. Let i(q) be the first derivative of -1/3*q**6 + 4 - 4/5*q**5 + 0*q**3 + 0*q - 1/2*q**4 + 0*q**u. Find v, given that i(v) = 0.
-1, 0
Let n(s) = s**2 - 4. Let c be n(3). Suppose 17 = -q - q + 5*x, c*q - 4*x = 0. Find a, given that 2*a**3 + 8*a**2 + 7*a - 5*a + q + 8*a = 0.
-2, -1
Factor 2/3*p + 2/3*p**2 - 4/3.
2*(p - 1)*(p + 2)/3
Let s = 29 + -18. Let x = s + -7. Factor -7/4*z**3 + 0*z - 1/2*z**2 + 0 - 5/4*z**x.
-z**2*(z + 1)*(5*z + 2)/4
Let u = -548 - -548. Suppose -2/7*t**3 + 0*t + u + 2/7*t**2 = 0. Calculate t.
0, 1
Let g(i) be the first derivative of -7*i**5/25 - i**4/4 + 16*i**3/15 - 2*i**2/5 + 9. Factor g(v).
-v*(v - 1)*(v + 2)*(7*v - 2)/5
Suppose 3*i = -0*i + 6. Suppose 0 = t + 2*u - 3 - 10, 4*t = 2*u + i. Suppose -2/9*l - 2/3*l**2 + 4/9 + 2/9*l**t + 2/9*l**4 = 0. What is l?
-2, -1, 1
Let h(n) = n**3 + n. Let f be (-1 - -1)*3/6. Let w = f + -11. Let a(p) = 6*p**3 + 4*p + 1. Let k(y) = w*h(y) + 2*a(y). Factor k(s).
(s - 1)**2*(s + 2)
Let h(a) = -a**5 + a**4 + 1. Let z(y) = 2*y**5 - y**4 - y**3 - 1. Let c = -2 - -3. Let i(g) = c*z(g) + h(g). Factor i(d).
d**3*(d - 1)*(d + 1)
Suppose -c - 4*c + 135 = 0. Let b = -53/2 + c. What is g in 0 + 1/2*g - b*g**2 = 0?
0, 1
Let m(g) = g**3 - 3*g**2 - g + 6. Let c be m(2). Let c*z + 1/3*z**3 + 0 - 4/3*z**2 = 0. Calculate z.
0, 4
Suppose 3/2*h**2 - 3/4*h**4 + 3/2*h - 3/4 - 3*h**3 + 3/2*h**5 = 0. Calculate h.
-1, 1/2, 1
Let m = -1 - -4. Suppose 5*t + 25 = 3*y, -m*y + 27 = -4*t + 7. Factor 0*l**2 + 2*l**5 + y*l**2 - 2*l**4.
2*l**4*(l - 1)
Suppose -3*u = -5*g - 29, -u - g + 39 = 4*u. Let y be 1*(-3 - 0) + u. Factor -x**5 - 15/4*x**4 - 5/2*x**2 - y*x**3 + 1/4 + 0*x.
-(x + 1)**4*(4*x - 1)/4
Let g(d) be the second derivative of -d**7/231 - d**6/165 + d**5/110 + d**4/66 - 3*d. Determine j so that g(j) = 0.
-1, 0, 1
Let d = -7 + 11. Suppose 4*s - 1749 = -1737. Factor 0 + 0*r - 1/5*r**d - 4/5*r**2 - 4/5*r**s.
-r**2*(r + 2)**2/5
Factor 0 + 16/5*r**2 + 4/3*r**4 - 56/15*r**3 - 2/15*r**5 + 0*r.
-2*r**2*(r - 6)*(r - 2)**2/15
Let d(x) be the first derivative of 3*x**4/14 + x**3/7 - 3*x**2/7 - 3*x/7 + 9. Factor d(m).
3*(m - 1)*(m + 1)*(2*m + 1)/7
Suppose 3*t - 610 = 6593. Let r be t/28*6/14. Solve 159/4*q**3 - 3*q + r*q**4 + 3 - 147/4*q**5 - 159/4*q**2 = 0 for q.
-1, -2/7, 2/7, 1
What is k in -4*k**3 - 8 + 11*k**3 + 21*k - k - 21*k**2 + 3*k**2 - k**4 = 0?
1, 2
Let j = -3 - -9. Suppose -4*q + 10 = 2*y, 0 = 3*y + 2*q - j - 5. Let 4*m**2 + y*m**5 + 10*m**3 - m**4 + 9*m**4 - m**5 = 0. What is m?
-2, -1, 0
Find c, given that -4/9 + 2/9*c**4 + 10/9*c - 2/3*c**2 - 2/9*c**3 = 0.
-2, 1
Let w be ((-3)/5)/(6/(-60)). Let c(z) be the first derivative of 0*z + 1/7*z**4 + 3 + 0*z**5 - 1/7*z**2 + 0*z**3 - 1/21*z**w. Suppose c(a) = 0. Calculate a.
-1, 0, 1
Let t = 4/245 + 17/1960. Let w(i) be the third derivative of -1/24*i**4 + 0 - t*i**6 + 0*i**3 - i**2 + 0*i + 1/20*i**5 + 1/210*i**7. Factor w(l).
l*(l - 1)**3
Let k be 41/9 - (11 - 9)/2. Factor 8/9 - 2/3*a**3 - k*a + 26/9*a**2.
-2*(a - 2)**2*(3*a - 1)/9
Let c(y) be the second derivative of y**4/6 + 4*y**3/3 + 14*y. Let c(k) = 0. What is k?
-4, 0
Let q(m) be the second derivative of 3*m**7/14 - m**6 + 9*m**5/5 - 3*m**4/2 + m**3/2 - 3*m. Find s such that q(s) = 0.
0, 1/3, 1
Let y be (-3)/(-6)*(0 - -8). Suppose 0 = 3*o - y*q - 2, -3*o = 3*q - 9. Factor 3*z**4 + z**4 - o*z**2 + 0*z**4 - 2*z**4.
2*z**2*(z - 1)*(z + 1)
Let g(x) = -7*x**4 - x**3 + 9*x**2 - 11*x - 2. Let l(s) = 21*s**4 + 2*s**3 - 27*s**2 + 32*s + 6. Let m(y) = -17*g(y) - 6*l(y). Suppose m(r) = 0. Calculate r.
-1, -2/7, 1
Factor 6*z**4 + z**4 - 3*z**4 - 2*z**2 + 4*z**3 - 2*z**2 - 4*z**5.
-4*z**2*(z - 1)**2*(z + 1)
Suppose 0 = 5*i - 10 - 0. Let r = 109/2 + -54. Solve z - r*z**i - 1/2 = 0 for z.
1
Let q(g) be the second derivative of g**5/90 - g**4/36 - g**2/2 + 3*g. Let y(o) be the first derivative of q(o). Find t such that y(t) = 0.
0, 1
Let k(g) be the third derivative of g**7/630 + g**6/90 + g**5/30 + g**4/18 + g**3/18 + g**2. Find q such that k(q) = 0.
-1
Let s(c) be the third derivative of c**5/30 + c**4/6 + c**3/3 - 6*c**2. Suppose s(j) = 0. Calculate j.
-1
Let s be 398*(1 - 34/28). Let p = -85 - s. What is t in 2/7*t**2 - p*t**4 - 2/7*t**3 + 2/7*t + 0 = 0?
-1, 0, 1
Let a = 8 + -6. Determine o, given that -a + o**4 + 4*o**4 - 4*o**3 - 3*o**4 + 4*o = 0.
-1, 1
Let u be (-72)/30 + -6*2/(-4). Let a be 12/(-24)*1*-4. Factor -9/5*q - u*q**3 + 9/5*q**a + 3/5.
-3*(q - 1)**3/5
Let g(f) = -4*f**4 + 3*f**3 + 3*f - 3. Let u(x) = -28*x**4 + 20*x**3 + 20*x - 20. Let v(o) = 20*g(o) - 3*u(o). Factor v(b).
4*b**4
Let t be (-3)/(-9) - (-1)/(-4). Let d(c) be the second derivative of 