2*u**4 + 6 + c*u**3 + 4/3*u. Factor t(v).
-(v - 2)**2*(v - 1)/3
Let i(f) be the second derivative of f**7/1260 - f**6/90 + f**5/15 - f**4/3 + 7*f. Let b(c) be the third derivative of i(c). Determine l, given that b(l) = 0.
2
Suppose -4*o + 12 = 30*r - 32*r, 2 = -r. Solve -3/5*v**3 + 3/5*v - 12/5 + 12/5*v**o = 0 for v.
-1, 1, 4
Let x(n) = n**2 + 9*n + 8. Suppose 2 = 2*h + 8. Let m be 2/3*(4 - 1). Let o(s) = 9*s + 9. Let g(p) = h*x(p) + m*o(p). Find t such that g(t) = 0.
-2, -1
Let g be (-187 - -175) + 1*14. Factor -1/3*x**g + 7/3 - 2*x.
-(x - 1)*(x + 7)/3
Let z be (-9)/((-2)/(4/3)). Factor -3*u**3 + 3*u**3 + 15*u - 59 + 77 - 3*u**3 - z*u**2.
-3*(u - 2)*(u + 1)*(u + 3)
Let c be 4/(-32) + (-42)/(-80). Let l = 1363/855 + 1/171. Factor -8/5 - c*w**2 - l*w.
-2*(w + 2)**2/5
Suppose 24*d + 7 = 23*d - 3*b, 16 = 5*d - 2*b. Let 2/5*u**d - 2/5*u - 4/5 = 0. What is u?
-1, 2
Let i(q) = -25*q**5 + 40*q**4 + 50*q**3 - 5*q**2 + 5. Let b(m) = 24*m**5 - 41*m**4 - 49*m**3 + 4*m**2 - 6. Let d(x) = 5*b(x) + 6*i(x). Solve d(j) = 0.
-1, 0, 1/6, 2
Let h(o) = -o**3 + 43*o**2 + 95*o - 221. Let r be h(45). Find u, given that 1/4*u**r + 1/4*u**3 + 0*u**2 + 0 + 0*u = 0.
-1, 0
Suppose 4 = -0*w + w, -2*q - w = -8. Let l(t) be the first derivative of -43*t**5 + 3 - 35/2*t**6 + 0*t + 5*t**3 - 105/4*t**4 + 5*t**q. What is g in l(g) = 0?
-1, -1/3, 0, 2/7
Let t = 17337/371 - 165/371. Factor t + 4/7*g**2 - 72/7*g.
4*(g - 9)**2/7
Let c(r) be the first derivative of 14*r**5/5 + 23*r**4/2 + 18*r**3 + 13*r**2 + 4*r + 18. Factor c(s).
2*(s + 1)**3*(7*s + 2)
Suppose -y = 5, -18 = -2*l - y - 11. Let b(o) be the first derivative of 1/4*o**2 - 1/12*o**3 - l + 3/4*o. Find n, given that b(n) = 0.
-1, 3
Let t(k) = -2*k**2 + 29*k + 22. Let g be t(15). Factor -z**2 + g*z + 5 - z + 6*z**2 + 4*z.
5*(z + 1)**2
Solve -1/3*i**2 + 2/3*i - 2/3*i**3 + 0 + 1/3*i**4 = 0 for i.
-1, 0, 1, 2
Find u such that -342*u**2 - 100067 - 6367*u - 64549 - 8386*u - 3*u**3 + 1757*u = 0.
-38
Let o be 46/8 - (-21)/(-28). Let t(g) be the third derivative of -1/660*g**6 + 0*g**4 + 0 + 4*g**2 + 0*g + 0*g**3 + 0*g**o. Solve t(v) = 0 for v.
0
Let n(s) be the third derivative of s**7/3780 - s**6/1080 - s**5/90 - 3*s**4/8 + 25*s**2. Let t(z) be the second derivative of n(z). Solve t(x) = 0 for x.
-1, 2
Factor 48*v**3 + 4/3*v**4 + 1144/3*v**2 - 912*v + 1444/3.
4*(v - 1)**2*(v + 19)**2/3
Let c be (12 + 1)*(-75)/(-1100). Let h = c + 4/11. Let -1/2 - h*s**2 + 7/4*s = 0. What is s?
2/5, 1
Let j(p) be the third derivative of 3*p**8/112 - 4*p**7/35 + 11*p**6/60 - 2*p**5/15 + p**4/24 + p**2 + 40. Solve j(k) = 0.
0, 1/3, 1
Let m(k) be the third derivative of k**7/10080 + k**6/320 - 5*k**4/12 + 39*k**2. Let p(d) be the second derivative of m(d). What is y in p(y) = 0?
-9, 0
Factor 90 - 3/2*o**2 - 21/2*o.
-3*(o - 5)*(o + 12)/2
Let v(r) be the second derivative of -r**5/5 + 82*r**4 - 13448*r**3 + 1102736*r**2 - 5*r - 14. Suppose v(a) = 0. What is a?
82
Suppose -2/13*a**2 + 0 - 14/13*a = 0. Calculate a.
-7, 0
Let f(k) be the first derivative of -k**4/48 + k**3/24 + k**2/4 + 13*k - 26. Let b(c) be the first derivative of f(c). Suppose b(d) = 0. Calculate d.
-1, 2
Suppose 6*r - 5*z = r + 35, 0 = 2*r - 5*z - 14. Let i be (-4)/r*14/(-12). Factor 50/3 - 20/3*p + i*p**2.
2*(p - 5)**2/3
Let i be -4*(3/6 - (-5)/(-4)). Solve -r**2 + 0*r + 4/3 - 1/3*r**i = 0 for r.
-2, 1
Let d(r) = -r**2 + 231*r - 10785. Let m be d(166). Find n, given that 0 - 9*n**3 + 42*n**2 + 75/2*n**m - 165/2*n**4 + 12*n = 0.
-2/5, 0, 1, 2
Let l(r) = -6615*r**2 + 1277*r - 43. Let n(u) = u + 3. Let d be n(3). Let j(o) = 2205*o**2 - 426*o + 14. Let b(q) = d*l(q) + 17*j(q). Factor b(z).
-5*(21*z - 2)**2
Let g(t) be the first derivative of t**6/18 - 2*t**5/3 + 11*t**4/6 + 28*t**3/9 - 55*t**2/6 - 50*t/3 + 19. Determine h so that g(h) = 0.
-1, 2, 5
Let g(r) be the first derivative of -r**3/8 + 12*r**2 + 312. Factor g(b).
-3*b*(b - 64)/8
Factor 5*f**5 - 71*f**4 + 16*f - 16*f**3 + 75*f**4 - 16*f**2 - 2*f**5.
f*(f - 2)*(f + 2)**2*(3*f - 2)
Let z(f) be the first derivative of f**3/6 + 7*f**2/2 - 15*f/2 + 188. Let z(m) = 0. What is m?
-15, 1
Find t such that -15 + 59*t**2 - 23*t**2 - 34 + 1 - 12*t + 21*t**3 + 3*t**4 = 0.
-4, -2, 1
Let c(s) = -10*s**2 + 13*s. Let g(a) = 17*a**2 - 27*a. Let z(f) = -5*c(f) - 3*g(f). Factor z(r).
-r*(r - 16)
Suppose -4*i = 5*g - i - 69, -2*g + 36 = -3*i. Suppose -10 = z - g. Let 16 + 13 - 29 - 5*t**3 + z*t = 0. Calculate t.
-1, 0, 1
Let i(m) be the third derivative of -m**7/840 + 7*m**6/240 - 11*m**5/240 - 13*m**4/48 + 493*m**2. Factor i(l).
-l*(l - 13)*(l - 2)*(l + 1)/4
Let q(o) = o**4 - o + 1. Let x(j) = 6*j**3 - 12*j**2 + 7*j + 1. Let h(k) = -q(k) + x(k). Factor h(a).
-a*(a - 2)**3
Let b(q) be the third derivative of q**5/120 - 5*q**4/16 - 4*q**3/3 - 2*q**2 + 11. Let b(r) = 0. Calculate r.
-1, 16
Suppose -4*d + 5*d - 2 = 0. Let x be (-4 - 18/(-4))*(5 - 5). Factor 0 - 1/9*a**3 - 1/9*a**d + x*a.
-a**2*(a + 1)/9
Suppose 8 = j - 8. Let w = 19 - j. Solve 33*t**5 - 8*t - 75*t**4 - 40*t**4 + 93*t**5 - 16 + 148*t**2 - 17*t**4 - 118*t**w = 0.
-1, -2/7, 2/3, 1
Suppose 2 = 3*z - 5*k + 8, 4*z + 4*k - 24 = 0. Suppose -16*p + 3*p - 21*p + 14*p**2 + 18 - 4*p**3 + 6*p**z = 0. What is p?
-9, 1
Let l = 21 - 19. Factor -10*v**4 - 15*v**3 + 20*v + 6*v**5 + 12*v**2 - v**5 + 8*v**l.
5*v*(v - 2)**2*(v + 1)**2
Let y(o) be the third derivative of 0*o**3 + 0*o**4 + 0 - 1/90*o**6 + 0*o - o**2 + 0*o**5 - 2/315*o**7. Determine x, given that y(x) = 0.
-1, 0
Let s(r) = -3*r**2 + 3*r + 4. Suppose 12*l = -20 - 28. Let t(u) = -22 - 20*u + 21*u**2 - 5 - u. Let g(h) = l*t(h) - 27*s(h). Determine z so that g(z) = 0.
0, 1
Factor 3*c**5 - 4070 - 4073 + 8143 - 3*c**3.
3*c**3*(c - 1)*(c + 1)
Let a(g) be the first derivative of 2*g**3/57 - 15*g**2/19 - 4. Solve a(p) = 0 for p.
0, 15
Let d = -230 + 233. Let c(m) be the second derivative of 1/70*m**5 - 2/7*m**2 + 5/21*m**d - 2/21*m**4 - m + 0. Let c(k) = 0. Calculate k.
1, 2
Let b(t) be the first derivative of -t**6/480 + t**4/24 - 19*t**2/2 - 11. Let a(x) be the second derivative of b(x). Factor a(d).
-d*(d - 2)*(d + 2)/4
Let i(o) be the second derivative of -o**6/150 - o**5/10 + o**4/20 + 14*o**3/3 - 98*o**2/5 - 2*o - 120. Factor i(w).
-(w - 2)**2*(w + 7)**2/5
Let q be -2*(-1 + 0) + 1. What is a in 15*a**2 + 9*a**3 - 10*a - 87*a**4 + 122*a**4 + 51*a**q = 0?
-1, 0, 2/7
Let u(w) = w**3 - w**2 + w + 12. Let i be u(0). Find z, given that -13*z - i*z + 16 - 3*z + 6*z**2 = 0.
2/3, 4
Let p be ((-3)/6)/(1/(-2)). Find c, given that 19*c**3 - c**5 + 2*c**4 - 13*c**3 - 2*c**2 + c**4 - 8*c**3 + 3*c - p = 0.
-1, 1
Let v be (-2 + 10)/2*1. Let 0 - 5*s + v + 8*s**3 + s + 4*s**4 - 3*s**5 - 8*s**2 - s**5 = 0. Calculate s.
-1, 1
Let x be 1/2*0 - 320/28. Let o = x - -414/35. Factor -6/5*u + 4/5 + o*u**2.
2*(u - 2)*(u - 1)/5
Let q be 210*1/196*40. Solve -243/7*v**2 + 540/7*v - q = 0 for v.
10/9
Let t(c) be the third derivative of -5*c**8/42 + 9*c**7/7 + 151*c**6/24 + 33*c**5/4 + 5*c**4/24 - 15*c**3/2 - 214*c**2. Let t(m) = 0. Calculate m.
-1, -1/2, 1/4, 9
Let c(q) be the third derivative of q**6/780 - q**5/130 + 4*q**3/39 - 653*q**2. Determine x, given that c(x) = 0.
-1, 2
Find z, given that -648*z + 1164*z**2 + 108 + 256/3*z**4 - 576*z**3 = 0.
3/8, 3
Let d(l) be the first derivative of l**7/210 + l**6/200 - l**5/150 + 9*l**2/2 + 25. Let a(j) be the second derivative of d(j). Let a(w) = 0. Calculate w.
-1, 0, 2/5
Let n(m) = m**3 - 1. Let c = 52 + -72. Let u(x) = 16*x**3 + 12*x**2 - 36. Let t(h) = c*n(h) + u(h). Factor t(o).
-4*(o - 2)**2*(o + 1)
Let h = 29 + -15. Factor -36*j**3 + 14*j**2 + 13*j**3 + 19*j**3 + 4 - h*j.
-2*(j - 2)*(j - 1)*(2*j - 1)
Let w(s) be the third derivative of 0*s**3 + 1/24*s**6 + s**2 + 0 - 1/6*s**5 + 5/24*s**4 + 0*s. Let w(g) = 0. What is g?
0, 1
Let s(o) be the second derivative of 0 + 0*o**2 + 3/40*o**5 + 0*o**4 - 1/4*o**3 - 29*o. Factor s(q).
3*q*(q - 1)*(q + 1)/2
Let b be (((-1)/15)/(-1))/((-56)/(-504)). Find j such that -6/5*j**2 + 0 + 3/5*j**5 - b*j + 6/5*j**4 + 0*j**3 = 0.
-1, 0, 1
Let z be ((-8)/(-14))/(4/56). Suppose 0 = z*p - 3*p. Suppose 0*k**4 + 2/3*k**3 + 4/9*k**2 + p*k - 2/9*k**5 + 0 = 0. Calculate k.
-1, 0, 2
Let z(w) be the first derivative of -12 - 1/3*w**3 - 3/2*w**2 - 2*w. Factor z(v).
-(v + 1)*(v + 2)
Let f(s) = -10*s**4