2 = 0, 3*l - f = 2*f + 27. Suppose 0 = -u + d + 4, l*u - 7*d - 18 = -5*d. Factor 6*w**4 + 3*w**4 - 8*w**2 + 4 - u*w**4.
4*(w - 1)**2*(w + 1)**2
Suppose 83*w - 221 = -55. Let h(c) be the second derivative of -3*c**4 + 0 + c + 1/5*c**5 - 14*c**w + 10*c**3. Solve h(t) = 0.
1, 7
Let i(t) be the third derivative of t**5/210 + 40*t**4/7 + 19200*t**3/7 - 7*t**2 - 3*t - 180. Determine b, given that i(b) = 0.
-240
Let q(l) = 114*l - 62. Let d be q(7). Let k = d + -733. Determine m, given that 0 - 16/3*m**k - 10/3*m**4 - 8/3*m**2 + 0*m - 2/3*m**5 = 0.
-2, -1, 0
Suppose -16*z + 20*z - 24 = 0. Let d = z - 3. Find s such that 12*s + 29 - 20*s**2 + 4*s**d - 14 + 21 = 0.
-1, 3
Let f(l) be the first derivative of -53 - 125*l**2 - 3125*l - 5/3*l**3. Factor f(p).
-5*(p + 25)**2
Let h(b) be the second derivative of 2*b**7/9 + 178*b**6/45 - 166*b**5 - 1844*b**4/9 + 1456*b**3/9 - 2*b + 679. Find c such that h(c) = 0.
-26, -1, 0, 2/7, 14
Let p be (-10767)/30 - (-3)/6. Let o = p - -360. Suppose 6/5*k**4 + 0*k + 0 - o*k**3 + 8/15*k**2 = 0. Calculate k.
0, 2/3
Let k be ((-30)/(-25))/((-6)/(-20)). Solve -5*u + 191*u**3 - 4*u - 3*u**5 + 6*u**2 - 6*u**k - 179*u**3 = 0.
-3, -1, 0, 1
Let c(l) be the first derivative of -l**4/20 + 67*l**3/15 + 256*l**2/5 + 444*l/5 + 4895. Solve c(y) = 0.
-6, -1, 74
Let j = 89 + -75. What is z in j + 26*z**3 - 50*z**3 + 10 - 76*z + 80*z**2 - 8*z**4 + 4*z**5 = 0?
-3, 1, 2
Let q(p) be the second derivative of p**5/300 + 7*p**4/15 + 392*p**3/15 + 15*p**2 - p - 7. Let l(t) be the first derivative of q(t). Solve l(z) = 0 for z.
-28
Let q(u) be the second derivative of u**7/42 - 13*u**6/24 - 101*u**2/2 - 22*u - 1. Let n(g) be the first derivative of q(g). Suppose n(o) = 0. What is o?
0, 13
Let o = -2569299874927/2772 + 926875888. Let c = o - -4/693. Suppose 0 - 625/4*n**5 + 225/2*n**3 + 10*n + c*n**4 - 65*n**2 = 0. What is n?
-1, 0, 2/5
Let t be 1980/(-8) + -3 + -7. Let f = t - -261. Factor b**3 + 4*b**2 + f*b - 1/2*b**5 - b**4 + 1.
-(b - 2)*(b + 1)**4/2
Let q be -1 + (-2)/((-10)/23). Let a(j) = 67*j**2 - 6045*j + 1352. Let l be a(90). Find r, given that 18/5*r**3 + 3/5*r**4 - 3 - q*r + 12/5*r**l = 0.
-5, -1, 1
Let w(n) be the second derivative of n**5/70 + 731*n**4/42 + 730*n**3/21 + 9916*n. Factor w(x).
2*x*(x + 1)*(x + 730)/7
Let b(f) be the second derivative of -f**4/48 + 95*f**3/24 + 12*f**2 + 2411*f. Factor b(p).
-(p - 96)*(p + 1)/4
Let g(c) = 13. Let b(m) = 80*m**3 - 37240*m**2 - 18635*m - 2408. Let f(k) = -b(k) - 6*g(k). Determine x so that f(x) = 0.
-1/4, 466
Let w(c) be the third derivative of -c**9/30240 - 13*c**8/10080 + c**5/60 + 22*c**3/3 + 180*c**2. Let f(l) be the third derivative of w(l). Factor f(b).
-2*b**2*(b + 13)
Let t(o) be the third derivative of -o**6/30 - 2*o**5 - 43*o**4/2 - 200*o**3/3 + 2787*o**2. Factor t(x).
-4*(x + 1)*(x + 4)*(x + 25)
Let c be 0/((-7)/(-35)*10). Suppose 4*f - f - 4*l = 0, c = 6*f + 5*l. Suppose 0 + 0*g + f*g**2 - 10*g**3 + 4*g**4 - 2/5*g**5 = 0. What is g?
0, 5
Let j = 6147/8 + -768. Let n(c) be the third derivative of -1/10*c**5 + 0 + 1/40*c**6 + 15*c**2 + 0*c + 0*c**3 - j*c**4. Factor n(q).
3*q*(q - 3)*(q + 1)
Let j(m) = 17*m**2 + 9*m + 85. Let f be j(-5). Let d = 931/2 - f. Factor -d + 3/4*w - 1/4*w**2.
-(w - 2)*(w - 1)/4
Suppose 2*w + 0*i - 25 = 5*i, -5*w = 2*i + 10. Suppose 4*f + 4*b - 8 = -w*b, -4*b = 2*f. Factor -8*m**3 - m**3 - 3*m**f + 0*m**3.
-3*m**3*(m + 3)
Let s(d) be the second derivative of -147/2*d**2 + 86*d - 1/4*d**4 - 7*d**3 + 1. Factor s(p).
-3*(p + 7)**2
Let c = 1118 + -1112. Let w(x) be the second derivative of 0 - 8*x**2 - 2*x + 1/5*x**5 - 3*x**4 + 22/3*x**3 + 2/15*x**c. Factor w(t).
4*(t - 1)**3*(t + 4)
Find l such that 16/5*l**4 + 1/5*l**5 + 0 + 56/5*l**2 - 54/5*l**3 - 19/5*l = 0.
-19, 0, 1
Let x(p) be the third derivative of 89*p**2 + 0 + 0*p**3 + 1/48*p**5 - 1/160*p**6 - 1/96*p**4 + 1/336*p**8 - 1/168*p**7 + 0*p. Find n, given that x(n) = 0.
-1, 0, 1/4, 1
Let d(a) be the first derivative of a**4/72 - a**2/12 + 17*a - 19. Let b(z) be the first derivative of d(z). Solve b(g) = 0 for g.
-1, 1
Suppose 5*h = -4*v - 6, -2*v - 9 = -h + 1. Factor u**4 - 3*u**3 + 3 + 47*u**2 + 4*u**3 - 50*u**h - 5*u - 5.
(u - 2)*(u + 1)**3
Factor 2*k**4 + 6678*k**2 + 2199*k + 2922 + 2378 - 142*k**3 - 22125*k - 612*k**3 + 14572.
2*(k - 368)*(k - 3)**3
Let b(s) be the first derivative of s**6/72 + s**5/4 + 33*s**3 + 74. Let t(m) be the third derivative of b(m). Factor t(v).
5*v*(v + 6)
Let c(k) = k**2 + 4. Let h(u) be the third derivative of u**5/30 + 2*u**3/3 - u**2 - 11*u. Let s(l) = -3*c(l) + 2*h(l). Determine j so that s(j) = 0.
-2, 2
Suppose 0 = 5*u + 2*u - 21. Suppose 1695 = 2*y - 2*l + u*l, 9 = -3*l. Factor p**3 - y*p**5 + p**4 - p**4 + 848*p**5.
-p**3*(p - 1)*(p + 1)
Let p(r) = 5*r - 197. Let f(u) = u - 5. Let l(n) = 3*f(n) + p(n). Let x be l(27). Suppose -3/8*z**x + 0 + 3/8*z - 3/8*z**3 + 3/8*z**2 = 0. Calculate z.
-1, 0, 1
Factor -540*y**2 - 40 + 47*y + 523*y**2 + 11*y - y**3.
-(y - 2)*(y - 1)*(y + 20)
Suppose 35 = -41*q - 65 + 223. Factor -8/19*u**2 - 4/19 - 10/19*u - 2/19*u**q.
-2*(u + 1)**2*(u + 2)/19
Factor -23/4*x + 0 - 6*x**2 - 1/4*x**3.
-x*(x + 1)*(x + 23)/4
Let j(o) be the third derivative of 37*o - 1/1260*o**7 + 1/90*o**5 + 0 + 0*o**3 - 1/720*o**6 - 2*o**2 + 1/36*o**4. Factor j(y).
-y*(y - 2)*(y + 1)*(y + 2)/6
Let g(l) be the second derivative of -l**6/15 - 707*l**5/10 + 5056*l. Factor g(v).
-2*v**3*(v + 707)
Let q(n) be the first derivative of n**6/3 + 262*n**5/5 + 2835*n**4 + 157168*n**3/3 - 120032*n**2 - 1022208*n - 1327. Let q(f) = 0. Calculate f.
-44, -2, 3
Factor -92*k**3 - 1620*k - 691*k**2 - 125*k**2 - 808 + 88*k**3.
-4*(k + 1)**2*(k + 202)
Suppose a - 1 = b, -3*b + 28*a - 33*a + 21 = 0. Solve 32*o - 2*o**3 + 10*o**3 - 4*o**4 - 9*o + 4*o**b - 14*o - 17*o = 0.
-1, 0, 1, 2
Let i(o) be the second derivative of -32*o**6/15 + 200*o**5 - 5291*o**4 + 15500*o**3/3 - 1922*o**2 + 2*o - 43. Suppose i(v) = 0. Calculate v.
1/4, 31
Let y = -833251/7 - -119053. Factor -36/7*h**4 - 7*h - 19*h**2 - y*h**3 + 0.
-h*(h + 1)*(6*h + 7)**2/7
Let y(k) = 12917*k - 64581. Let w be y(5). Solve 20/23*s**w + 32/23*s + 0 + 80/23*s**2 + 2/23*s**5 + 66/23*s**3 = 0.
-4, -1, 0
Determine x so that 0 - 11/4*x - 13/8*x**2 - 1/8*x**3 = 0.
-11, -2, 0
Let p = -8986/5 - -3595/2. Let s(z) be the first derivative of 16 - 1/5*z**3 - p*z**2 + 0*z. Let s(g) = 0. What is g?
-1, 0
Let h(j) be the first derivative of 1/240*j**6 - 1/40*j**5 + 0*j + 0*j**3 - 23/2*j**2 + 1/24*j**4 + 3. Let r(q) be the second derivative of h(q). Factor r(v).
v*(v - 2)*(v - 1)/2
Let f(t) be the second derivative of -t**5/20 - 233*t**4/12 - 13915*t**3/6 - 39675*t**2/2 - 94*t. What is m in f(m) = 0?
-115, -3
Let p(k) be the second derivative of -5*k**3/2 - 18*k. Let o(i) = -i**2 - 14*i. Let c(q) = -5*o(q) + 4*p(q). Find r, given that c(r) = 0.
-2, 0
Factor -535/6*o - 179/3 - 88/3*o**2 + 1/6*o**3.
(o - 179)*(o + 1)*(o + 2)/6
Let n = -3113 - -653731/210. Let q(a) be the second derivative of -13/84*a**4 + 14*a + 0 - 2/7*a**2 - 3/70*a**5 - 2/7*a**3 - n*a**6. Factor q(f).
-(f + 1)**2*(f + 2)**2/7
Let v(w) = -w**4 + 218*w**3 - 1118*w**2 + 1875*w. Let z(j) = -j**4 + 73*j**3 - 373*j**2 + 625*j. Let q(h) = 2*v(h) - 7*z(h). Suppose q(x) = 0. What is x?
0, 5
Suppose -24*j - 9*j + 165 = 138 - 72. Factor 196/3*m**j - 1216/3*m + 176/3 + 2044/3*m**2.
4*(m + 11)*(7*m - 2)**2/3
Let 2/21*v**2 - 1310/21 - 12*v = 0. What is v?
-5, 131
Let i(w) be the second derivative of -w**7/1120 + 7*w**6/960 + 3*w**5/80 - w**4/12 + 7*w**2 - 2*w + 43. Let m(v) be the third derivative of i(v). Factor m(p).
-3*(p - 3)*(3*p + 2)/4
Let p(x) be the second derivative of -2*x**4/9 + 5*x**3 - 116*x**2/3 - 215*x + 5. Factor p(r).
-2*(r - 4)*(4*r - 29)/3
Let l be (-40)/(-130) + 417/39. Let t be ((-4)/6)/(1/(-3)). Determine o so that -5*o - 7*o + l*o**2 - 26*o**t + 11*o**2 = 0.
-3, 0
Let l(i) be the second derivative of -i**5/70 + 2*i**4/21 - 4845*i. Let l(h) = 0. Calculate h.
0, 4
Let w(h) = 5*h**3 + 1597*h**2 - 3199*h + 1593. Let l(b) = -b**2 - 3*b + 6. Let c(u) = 2*l(u) + w(u). Factor c(d).
5*(d - 1)**2*(d + 321)
Let f(s) = 14*s + 13. Let y be f(1). Suppose -37 = y*c - 91. Factor 1/2*g**4 + 0 + 1/4*g**5 + 1/4*g**3 + 0*g**c + 0*g.
g**3*(g + 1)**2/4
Let j(x) be the second derivative of 