, -1
Let l(i) be the first derivative of -2*i**3/33 + 68*i**2/11 - 2312*i/11 + 93. Let l(q) = 0. Calculate q.
34
Suppose -j = -2*g + 5, 2*g - 11 = -2*j + 3. Find a, given that 4*a**4 - g*a**3 + 16*a**3 - 12*a + 4*a**2 - 59 + 51 = 0.
-2, -1, 1
Let a(d) = -5*d**2 + 6*d + 14. Let s be a(-6). Let h = s - -608/3. Let 4/3 - h*v**2 + 2/3*v = 0. Calculate v.
-1, 2
Let m(t) be the second derivative of t**5/10 - 7*t**3/3 + 6*t**2 - t + 101. Factor m(d).
2*(d - 2)*(d - 1)*(d + 3)
Suppose 81*w = 156*w - 83*w. Suppose 0*h**2 - 1/2*h**3 + w + 1/2*h = 0. What is h?
-1, 0, 1
Factor 2/7*m + 8/7*m**2 - 8/7 - 2/7*m**3.
-2*(m - 4)*(m - 1)*(m + 1)/7
Let b(v) = v**3 - 4*v**2 + 4*v. Let s be b(3). Factor -5*d**s + 9*d**2 + 7*d**2 - d**2 - 15*d + 5.
-5*(d - 1)**3
Let v be (-420)/(-231) + (-4)/(-22). Let h = 56 + -56. Let h*b**v - 2*b**4 - 4/3*b**5 + 0*b - 2/3*b**3 + 0 = 0. Calculate b.
-1, -1/2, 0
Let h(m) be the first derivative of m**5/10 + 2*m**4 - 3*m**3 - 4*m**2 + 17*m/2 - 354. Find o such that h(o) = 0.
-17, -1, 1
Let r(l) be the first derivative of l**5/5 - 33*l**4/4 + 1021*l**3/12 + 561*l**2/4 + 289*l/4 + 137. Determine q, given that r(q) = 0.
-1/2, 17
Let y(m) be the second derivative of m**8/30240 + m**7/420 + 3*m**6/40 + 27*m**5/20 - 3*m**4/4 - 24*m. Let q(b) be the third derivative of y(b). Factor q(z).
2*(z + 9)**3/9
Let n be 2844/90 + -9 + (-3 - 10). Solve n + 4*k**2 - 176/5*k + 28/5*k**3 = 0 for k.
-3, 2/7, 2
Let v(r) be the second derivative of -r**4/36 - 2*r**3/9 + 2*r**2 - 108*r. Factor v(z).
-(z - 2)*(z + 6)/3
Let r(q) = q**2 + 38*q - 168. Let b be r(-42). Factor 0*o + 2/5*o**3 + 0 - 9/5*o**4 + b*o**2 + 7/5*o**5.
o**3*(o - 1)*(7*o - 2)/5
Let y(o) be the third derivative of o**5/45 + o**4/2 + 9*o**3/2 - 13*o**2 + 4*o. Factor y(s).
(2*s + 9)**2/3
Factor -12/11*f + 0 - 2/11*f**2.
-2*f*(f + 6)/11
Let n be 19*(-27)/5130 - 1/(-2). Factor 0*g + 2/5*g**2 - n*g**4 - 2/5*g**3 + 0 + 2/5*g**5.
2*g**2*(g - 1)**2*(g + 1)/5
Let m be (8 - 1) + -125*11/220. Factor 0 + 3/4*l**3 + m*l**2 - 9/2*l.
3*l*(l - 2)*(l + 3)/4
Suppose 0 = 31*q - 25*q - 24. Let a(b) be the second derivative of -1/28*b**q + 0 + 1/7*b**3 - 3/14*b**2 + 7*b. Factor a(h).
-3*(h - 1)**2/7
Let d(s) = -3*s**3 + 3*s**2 - 4*s - 5. Let v be d(-2). Suppose -34*t + v*t = 0. Solve a**2 - 1/2*a**3 - 1/2*a + t = 0.
0, 1
Suppose -u = 2*a - 11, 0 = -242*a + 244*a - 4*u - 6. Suppose -b + 3*b - 8 = 0. Factor -1/6*v - 1/3*v**2 + 1/6 - 1/6*v**a + 1/3*v**3 + 1/6*v**b.
-(v - 1)**3*(v + 1)**2/6
Let d(m) be the third derivative of m**6/720 - m**5/240 - m**4/24 - 7*m**3/6 + 19*m**2. Let q(x) be the first derivative of d(x). Factor q(y).
(y - 2)*(y + 1)/2
Suppose 66*k + 30 = 81*k. What is q in 2/23*q**k + 8/23*q + 8/23 = 0?
-2
Let r(m) be the second derivative of m**8/1680 - m**7/630 - m**6/1080 + m**5/180 + 17*m**3/6 - 10*m. Let c(z) be the second derivative of r(z). Factor c(v).
v*(v - 1)**2*(3*v + 2)/3
Let y(u) be the third derivative of u**6/120 - u**5/10 + u**4/6 - u**3/3 + u**2. Let w be y(6). Factor 4*i**4 - w*i**3 + 20*i**3 - i**5 - i**4.
-i**3*(i - 2)*(i - 1)
Let h = 17 - 4. Let w = -8 + h. Find b, given that 24*b**2 + 40*b**4 + 8*b**w + 66*b**3 + 4*b**5 - 11*b**3 - 7*b**3 + 4*b = 0.
-1, -1/3, 0
Suppose 2*i + 5*n = -20, 0*i - 2*i + 3*n = -12. Factor 0*a**2 + a**3 - 8*a - 4*a**2 + i*a**2 + 3*a**3.
4*a*(a - 2)*(a + 1)
Let j = -4313 + 4313. Find b such that j + 3/4*b**3 - 3/2*b - 3/4*b**2 = 0.
-1, 0, 2
Let i be (102/(-459))/((-20)/45). Find p, given that 1 + i*p**2 + 3/2*p = 0.
-2, -1
Let c(a) be the first derivative of a**7/420 + a**6/270 - a**5/180 - 23*a**3/3 + 23. Let r(i) be the third derivative of c(i). Suppose r(n) = 0. What is n?
-1, 0, 1/3
Let z = 837/15760 - 8/197. Let a(o) be the second derivative of -1/48*o**4 + 1/8*o**2 + 9*o + 1/24*o**3 - z*o**5 + 0. What is f in a(f) = 0?
-1, 1
Let s = -1414/9 + 9916/63. Factor 0 + 0*v - s*v**2.
-2*v**2/7
Let l(j) be the second derivative of 1/360*j**6 - 1/2*j**3 + 1/120*j**5 + 0 + 0*j**4 + 0*j**2 - 2*j. Let i(u) be the second derivative of l(u). Factor i(h).
h*(h + 1)
Let b(l) be the third derivative of l**8/1008 - l**7/630 - l**6/360 + l**5/180 + 24*l**2. Solve b(u) = 0 for u.
-1, 0, 1
Let u(q) = -95*q**3 + 660*q**2 - 1140*q + 575. Let p(k) = 8*k**3 - 55*k**2 + 95*k - 48. Let a(b) = -35*p(b) - 3*u(b). Factor a(t).
5*(t - 9)*(t - 1)**2
Let g(k) be the second derivative of 3/55*k**5 + 13*k - 1/165*k**6 + 0*k**2 + 8/33*k**3 - 2/11*k**4 + 0. Factor g(u).
-2*u*(u - 2)**3/11
Factor -4*t**2 - 113773 - 28*t + 113733 + 0*t**2.
-4*(t + 2)*(t + 5)
Let z = 176 + -173. Let o(u) be the first derivative of -1/9*u**z + 0*u - 1/4*u**2 - 5. Factor o(w).
-w*(2*w + 3)/6
What is i in 139*i + 56*i + 54 - 264*i**3 - 87*i**2 + 252*i**3 = 0?
-9, -1/4, 2
Let k = 826/5 - 2567/5. Let f = -347 - k. Factor -1/5 - f*l**2 - 4/5*l - 4/5*l**3 - 1/5*l**4.
-(l + 1)**4/5
Factor r**3 + 47*r - 31*r - 3*r**3 - 15*r**2 + r**2.
-2*r*(r - 1)*(r + 8)
Let w(k) = 6*k**4 - 288*k**3 - 295*k**2 + 283*k + 294. Let y(c) = 3*c**4 - 144*c**3 - 147*c**2 + 141*c + 147. Let z(x) = 3*w(x) - 5*y(x). Factor z(r).
3*(r - 49)*(r - 1)*(r + 1)**2
Let n = -26 - -35. Let n*b**3 - 8*b**2 - 28*b**4 + 71*b - 45*b**3 - 71*b = 0. What is b?
-1, -2/7, 0
Let h(x) = 4*x**2 - 4. Let b(o) = -8*o**2 + 8. Let k = 86 - 99. Let l(p) = k*h(p) - 6*b(p). Factor l(g).
-4*(g - 1)*(g + 1)
Let v = -10086937 + 10803108734/1071. Let q = -17/63 - v. Solve 4/17*r**2 - 10/17*r**4 + 0 - q*r**5 + 0*r + 14/17*r**3 = 0.
-2, -1/4, 0, 1
Let h(w) be the first derivative of -2/7*w**2 + 1/7*w**4 + 14 - 2/7*w + 2/35*w**5 + 0*w**3. Factor h(v).
2*(v - 1)*(v + 1)**3/7
Let s(a) be the second derivative of -7/2*a**2 + 1/150*a**5 - a + 1/20*a**4 + 2/15*a**3 + 0. Let c(t) be the first derivative of s(t). Factor c(l).
2*(l + 1)*(l + 2)/5
Let c(w) be the second derivative of 0*w**2 - 1/3*w**3 - 3*w - 1/20*w**5 - 1/4*w**4 + 0. Factor c(k).
-k*(k + 1)*(k + 2)
Let p(o) = -o - 9. Let w be p(-8). Let h be (-3)/(-6)*(-1)/w. Factor 1/2*x + h*x**2 - 1/2 - 1/2*x**3.
-(x - 1)**2*(x + 1)/2
Let n(l) be the first derivative of l**7/336 - l**6/60 + l**5/32 - l**4/48 + 17*l - 29. Let y(k) be the first derivative of n(k). Factor y(z).
z**2*(z - 2)*(z - 1)**2/8
Let b = 1013/5665 + 24/1133. Find i such that 8/5*i - i**3 - 1/5*i**4 + 1/5*i**5 + b*i**2 + 4/5 = 0.
-1, 2
Let o be 13039/(-9735) + 5/3. Let b(h) be the first derivative of -12/11*h**4 - 2/11*h + 3 - o*h**5 - 8/11*h**2 - 4/3*h**3. Determine l, given that b(l) = 0.
-1, -1/3
Let l(j) be the second derivative of j**5/20 + j**4/18 - j**3/18 + 10*j - 1. Determine y so that l(y) = 0.
-1, 0, 1/3
Let s(x) = -2*x**3 + 5*x + 20. Let p be s(-5). Suppose -3*y - 245 + p = 0. Let -1/5*n**2 + y*n + 4/5 = 0. What is n?
-2, 2
Let h = -26413 + 26416. Find u, given that -3/2*u**5 + 0 + 9/2*u**3 - h*u + 3/2*u**4 - 3/2*u**2 = 0.
-1, 0, 1, 2
Let a(v) = v**3 - 33*v**2 + 34*v - 64. Let l be a(32). Solve 0*d + 0*d**2 - 3/4*d**3 + l = 0.
0
Let p(s) = s**3 - 65*s**2 + 127*s - 59. Let q be p(63). Factor -2/9 + 4/9*l**q + 10/9*l**3 - 2/9*l + 2/3*l**2.
2*(l + 1)**3*(2*l - 1)/9
Let r(t) = -2*t**3 - 4*t**2 + 77*t - 29. Let x(d) = -d**3 + 39*d - 14. Let o(s) = -4*r(s) + 7*x(s). Factor o(m).
(m - 1)**2*(m + 18)
Let l(v) be the first derivative of -8/3*v**2 - 5/6*v**3 + 24 + 3/8*v**4 - 2*v. Find g such that l(g) = 0.
-2/3, 3
Let h(k) be the third derivative of k**6/420 + 19*k**5/210 + 16*k**4/21 + 20*k**3/7 - 316*k**2. Factor h(t).
2*(t + 2)**2*(t + 15)/7
Let b(u) be the second derivative of u**7/56 + u**6/10 + 3*u**5/20 - u**4/8 - 5*u**3/8 - 3*u**2/4 + 41*u - 2. Factor b(r).
3*(r - 1)*(r + 1)**3*(r + 2)/4
Let n = -766 + 1535/2. Let v = -14 + 19. Determine d so that 3/2*d**v - 9/2*d**4 + 21/2*d**2 - 6 - n*d**3 + 0*d = 0.
-1, 1, 2
Let p(w) be the third derivative of -w**6/420 - 11*w**5/210 - 5*w**4/14 + 3*w**2 - 13*w. Factor p(b).
-2*b*(b + 5)*(b + 6)/7
Let q be -1 + 5 - (4 - 5)/(-1). Let f(t) be the second derivative of 5/6*t**4 + 0 - 7/3*t**3 + 5*t + q*t**2 - 1/10*t**5. Find n, given that f(n) = 0.
1, 3
Let o(i) be the first derivative of -i**7/42 + i**5/6 - 5*i**3/6 - 7*i**2 + 6. Let m(z) be the second derivative of o(z). Factor m(u).
-5*(u - 1)**2*(u + 1)**2
Let r be (-48)/(-4) + -6 + -4. Solve 2/3*f**2 - r*f + 2*f**3 - 4/3 + 2/3*f**4 = 0.
-2, -1, 1
Let b(l)