2. Let z(d) = 3*d**2 - 2*d - 1. Let c(v) = -4*i(v) - 3*z(v). Let c(t) = 0. Calculate t.
-1/3, 1
Let k = 22 + -15. Let f(r) = 0 + 9 - 82 - 9*r**2 - 40*r - 33 + 6. Let m(n) = 13*n**2 + 60*n + 150. Let z(l) = k*f(l) + 5*m(l). Find a such that z(a) = 0.
-5
Let y(x) be the first derivative of x**7/490 - 3*x**6/280 + x**4/14 + x**2/2 - 7. Let p(t) be the second derivative of y(t). Factor p(z).
3*z*(z - 2)**2*(z + 1)/7
Let y(l) = -2*l**2 - 13*l + 19. Let n be y(-7). Factor -34*z - 6*z - 72 - 5*z**2 + n.
-5*(z + 2)*(z + 6)
Find o such that -8*o - 25/3 + 1/3*o**2 = 0.
-1, 25
Let a be 189/(-108) - 21/(-12). Let b(x) be the second derivative of 2*x**2 + a - 2*x + 4/9*x**4 - 19/9*x**3 + 1/6*x**5. Factor b(q).
2*(q - 1)*(q + 3)*(5*q - 2)/3
Let u = 19089 + -95443/5. Determine m so that 4/5*m**2 + 1/5*m**3 + u + m = 0.
-2, -1
Factor 96/5 - 2/3*y**2 + 716/15*y.
-2*(y - 72)*(5*y + 2)/15
Suppose 120/7 - 136/7*i + 2/7*i**5 - 62/7*i**2 + 54/7*i**3 + 22/7*i**4 = 0. What is i?
-6, -5, -2, 1
Let s(k) = -8*k - 20. Let q be s(-3). Find n such that -4*n + 8*n**2 - 15*n**4 + 4*n**3 + 16*n**4 - 7*n**q - 2 = 0.
-1, -1/3, 1
Let z(i) be the second derivative of i**5/30 + 2*i**4/3 + 35*i**3/9 + 8*i**2 + 838*i. Factor z(f).
2*(f + 1)*(f + 3)*(f + 8)/3
Let l(z) = -18*z**3 + 45*z**2 + 3*z**4 + 87*z**3 + 3 + 0*z + 3*z - 45*z**3. Let s(q) = q**2 - q - 1. Let k(j) = l(j) + 3*s(j). Factor k(w).
3*w**2*(w + 4)**2
Let y = -132 + 137. Let x(w) be the first derivative of 3/4*w**4 + 0*w**3 + 0*w + y - 3/2*w**2. Factor x(t).
3*t*(t - 1)*(t + 1)
Factor 12*x**3 - 11*x - 33*x**2 - 39*x**3 + 3*x + 3*x**5 - 3*x**4 - 4*x.
3*x*(x - 4)*(x + 1)**3
Let h(x) be the third derivative of -x**5/240 - 5*x**4/32 - 11*x**3/6 - x**2 - 15. Find o, given that h(o) = 0.
-11, -4
Let c = -22 + 26. What is o in -2*o**3 + 16 - 6*o - 6*o**2 + 20*o**2 - c*o - 18*o = 0?
1, 2, 4
Let c(x) = 8*x**3 - 224*x**2 - 232*x - 7. Let d(w) = 3*w**3 - 74*w**2 - 77*w - 2. Let l(r) = -2*c(r) + 7*d(r). Factor l(n).
5*n*(n - 15)*(n + 1)
Let a(f) = f**4 - f + 3. Let u(m) = 9*m**4 - 122*m**3 + 244*m**2 - 83*m - 63. Let h(i) = 10*a(i) + 2*u(i). Solve h(d) = 0.
-2/7, 1, 2, 6
Let 2/3*z**5 + 0*z + 0 - 4/3*z**3 + 0*z**2 - 2/3*z**4 = 0. What is z?
-1, 0, 2
Let x(o) be the first derivative of -o**6/900 + o**4/60 + 2*o**3/45 + o**2/2 + 26. Let z(s) be the second derivative of x(s). What is v in z(v) = 0?
-1, 2
Let x(d) be the first derivative of d**5/25 + 4*d**4/5 + 88*d**3/15 + 96*d**2/5 + 144*d/5 + 594. Suppose x(r) = 0. What is r?
-6, -2
Suppose -5*i + 2*i = -2*l + 152, -3*i = 2*l - 164. Let h = l + -77. Find x such that 0 - 2/3*x + 2/9*x**h = 0.
0, 3
Let n(p) = 2*p**2 + 60*p - 58. Let f be n(-31). Let m(b) be the first derivative of 0*b**f + 4/9*b**3 - 3 + 0*b - 1/3*b**2 - 4/15*b**5 + 1/9*b**6. Factor m(d).
2*d*(d - 1)**3*(d + 1)/3
Let a be (-2 - -2)/(-5) - (-6 + 4). Let g(w) be the third derivative of 0 + 1/9*w**4 + 4/9*w**3 + 1/90*w**5 + 0*w - 6*w**a. Solve g(m) = 0.
-2
Let n(u) be the second derivative of -15/2*u**7 + 0*u**4 - 27*u + 0*u**3 + 0*u**2 - u**5 + 0 - 16/3*u**6. Solve n(o) = 0 for o.
-2/7, -2/9, 0
Let c = 38287/2 - 19143. Suppose 1/2*x**2 - 1/8*x**3 - c*x + 0 = 0. Calculate x.
0, 2
Suppose 0 = -2*u - 7 + 15. Suppose u = 5*d - 36. Factor -d*n**2 + n**3 - 5*n**3 - 16*n**3.
-4*n**2*(5*n + 2)
Let i(j) be the first derivative of j**4 + 16*j**3/3 - 2*j**2 - 16*j + 1. Factor i(x).
4*(x - 1)*(x + 1)*(x + 4)
Let f = 11 - 9. Solve -3*o + 38*o**2 + 34*o**f - 75*o**2 = 0.
-1, 0
Let g = 0 - -2. Let c be (-3)/(-7) + ((-660)/840 - (-1)/2). Factor 1/7 + c*a**g - 2/7*a.
(a - 1)**2/7
Suppose -2*c + c + 4*c = c. Let c - 4/3*r**2 + 4*r = 0. What is r?
0, 3
Let f(y) = -4*y**3 - 13*y**2 + 31*y + 40. Let t(l) = 4*l**3 + 14*l**2 - 30*l - 40. Let q = 9 - 7. Let c(z) = q*f(z) + 3*t(z). Factor c(d).
4*(d - 2)*(d + 1)*(d + 5)
Let u(o) be the first derivative of o**7/2940 + o**6/315 + o**5/140 + 10*o**3/3 - 1. Let x(z) be the third derivative of u(z). What is t in x(t) = 0?
-3, -1, 0
Factor -20*k**3 + 2*k**4 + 85471*k**2 - 85471*k**2.
2*k**3*(k - 10)
Let q(x) be the first derivative of 0*x + 0*x**3 + 3/4*x**4 + 2/5*x**5 - 24 - 1/2*x**2. Find m such that q(m) = 0.
-1, 0, 1/2
Let q(l) be the first derivative of l**3/8 - 39*l**2/8 - 21*l + 79. What is h in q(h) = 0?
-2, 28
Factor d**5 - 6*d**2 - 6415*d**4 - 6*d**3 + 2*d**5 + 3*d + 6418*d**4 + 3.
3*(d - 1)**2*(d + 1)**3
Let k(w) be the first derivative of w**6/6 - 22*w**5/25 + 7*w**4/5 - 8*w**3/15 + 180. Determine l so that k(l) = 0.
0, 2/5, 2
Factor 9/2 - 3/2*a - 9/2*a**2 + 3/2*a**3.
3*(a - 3)*(a - 1)*(a + 1)/2
Let k(l) be the second derivative of 3*l**5/40 - 3*l**4/8 + 2*l + 25. Factor k(r).
3*r**2*(r - 3)/2
Let z be 1/(-3) - (-26)/(-3) - 20125/(-2185). Suppose -z - 26/19*a - 22/19*a**2 = 0. Calculate a.
-1, -2/11
Suppose -b + 0*b - 4*o = 20, -4*b - 2*o = 10. Let r be 1*b/(-1 + 2). Factor -12*c + r - c**3 + 5*c**3 + 8.
4*(c - 1)**2*(c + 2)
Let r(p) be the second derivative of -p**5/130 - p**4/39 + 3*p**3/13 + 18*p**2/13 + 142*p. Factor r(k).
-2*(k - 3)*(k + 2)*(k + 3)/13
Let r(g) = g**2 - 6*g - 4. Let u be r(-2). What is t in 92*t**2 - 20 - 52*t - 6*t**3 - u - 52*t - 10*t**3 = 0?
-1/4, 2, 4
Let 0*n + 18*n**2 + 15/2*n**4 + 0 - 3/4*n**5 - 21*n**3 = 0. What is n?
0, 2, 6
Let g = 151 + -140. Suppose 3*f + 5 = g. Factor 12/7*v + 0 + 4/7*v**f.
4*v*(v + 3)/7
Suppose -26 = -2*h - 3*v - v, 0 = 4*h - v - 16. Solve 165*b**2 - 1005*b + 76*b**3 + 109*b**3 + 75*b**4 + 10*b**h + 1050*b = 0 for b.
-3, -1, -1/2, 0
Let h(r) = -2*r**2 - 2*r + 4. Let k(u) be the second derivative of u**4/2 + 5*u**3/6 - 11*u**2/2 - 9*u. Let b(q) = 11*h(q) + 4*k(q). Solve b(i) = 0 for i.
0, 1
Let r = -4 + 13/3. Let v = 382 + -379. Let -r - 1/6*m**v + 1/2*m + 0*m**2 = 0. What is m?
-2, 1
Let c(b) be the second derivative of -2*b**7/105 + b**5/3 - 8*b**3/3 - 7*b**2 - 14*b. Let u(y) be the first derivative of c(y). Determine a so that u(a) = 0.
-2, -1, 1, 2
Let c(p) be the second derivative of 2*p**6/75 - 8*p**5/25 - 8*p**4/15 + 64*p**3/5 + 288*p**2/5 - 85*p. Find b, given that c(b) = 0.
-2, 6
Let h be ((-48)/(-4))/((-6)/(-69)). Let x be 0 + h/42 + -3. Factor 0 + 2/7*r**2 - 2/7*r**4 - 2/7*r**3 + x*r.
-2*r*(r - 1)*(r + 1)**2/7
Let m(g) be the first derivative of -3*g**5/5 - 5*g**4/2 - g**3 + 131. Factor m(o).
-o**2*(o + 3)*(3*o + 1)
Let v = -1869 + 5609/3. Factor 2/3*u**3 - v - 2/3*u + 2/3*u**2.
2*(u - 1)*(u + 1)**2/3
Let w(l) be the first derivative of l**4/6 - 20*l**3/3 + 100*l**2 - 2000*l/3 + 86. Let w(t) = 0. Calculate t.
10
Let r(b) = -b - 2. Let z be r(-2). Let t(x) be the second derivative of -2/15*x**6 - 1/21*x**7 + 1/3*x**4 + 0*x**5 + 2*x + 1/3*x**3 + z*x**2 + 0. Factor t(i).
-2*i*(i - 1)*(i + 1)**3
Let m(t) = 385*t**2 + 455*t - 325. Let y(o) = -48*o**2 - 57*o + 40. Let h(p) = -3*m(p) - 25*y(p). Find b, given that h(b) = 0.
-5/3, 1/3
Suppose -8*i**2 + 3*i**2 - 30 + 19*i - i + 8*i + 9*i = 0. What is i?
1, 6
Determine y, given that -5*y**4 + 14*y + 3113*y**5 - 3111*y**5 + 17*y**4 - 16*y**3 - 12*y**2 = 0.
-7, -1, 0, 1
Let -8/3*n + 0 - 2/3*n**3 + 10/3*n**2 = 0. Calculate n.
0, 1, 4
Let f(s) be the third derivative of -s**6/30 + 2*s**5/3 + s**4/6 - 20*s**3/3 - 112*s**2 - 1. Suppose f(t) = 0. Calculate t.
-1, 1, 10
Suppose -8*k - 339 = -9*k + 5*y, 2*k = -2*y + 702. Suppose -347 + k = x. Factor -8/3 + 20/3*v + 28/3*v**x.
4*(v + 1)*(7*v - 2)/3
Factor 0 - 11/5*d**2 + 6/5*d**3 + 6/5*d - 1/5*d**4.
-d*(d - 3)*(d - 2)*(d - 1)/5
Factor 96*z - 669*z**2 - 5*z**3 - 64 + 633*z**2 + 9*z**3.
4*(z - 4)**2*(z - 1)
Let v(y) be the third derivative of -y**8/840 - y**7/105 - y**6/50 - 164*y**2 + y. Factor v(s).
-2*s**3*(s + 2)*(s + 3)/5
Let j = 271 + -14365/53. Let x = j - -169/265. Suppose -1/5*v**3 - x*v**2 - 1/5 - 3/5*v = 0. Calculate v.
-1
Let d(w) be the third derivative of -1/70*w**7 - 5*w**2 + 0*w**3 + 0*w**4 - 1/20*w**5 + 1/20*w**6 + 0*w + 0. Factor d(v).
-3*v**2*(v - 1)**2
Let j(w) be the third derivative of w**6/40 - 3*w**5/5 - 13*w**4/8 + w**2 - 123. Suppose j(r) = 0. What is r?
-1, 0, 13
Suppose 28*g**3 - 4*g**5 + 6*g**4 - 10*g**2 - 19*g - 10*g**2 + 11*g**4 + 3*g**4 - 5*g = 0. What is g?
-1, 0, 1, 6
Factor 60/7 + 4/7*c**3 + 54/7*c**2 + 146/7*c.
2*(c + 3)*(c + 10)*(2*c + 1)/7
Suppose -12*d = -25*d + 6*d + 21. Factor 3/5*a**2 + 3/5*a**d - 6/5*a + 0