rst derivative of -f**5/10 + f**4/8 + 7*f**3/6 - 13*f**2/4 + 3*f + 790. Solve w(h) = 0.
-3, 1, 2
Let u = 2/485965 + 485949/3887720. Let -1/8*z**5 + u*z**4 + 13/4*z - 1 - 29/8*z**2 + 11/8*z**3 = 0. Calculate z.
-4, 1, 2
Factor 152 + 348*j - 608 - 247*j - 555*j + 2*j**2.
2*(j - 228)*(j + 1)
Let f(p) = 241*p**4 + 130*p**3 + 73*p**2 - 96*p - 76. Let u(s) = -85*s**4 - 44*s**3 - 24*s**2 + 32*s + 25. Let b(m) = 6*f(m) + 17*u(m). Solve b(t) = 0 for t.
-31, -1, 1
Let w = 20779/33144 - 8/4143. Let f(i) be the first derivative of -5/6*i**3 + 0*i + 5/16*i**4 - 30 + w*i**2. Factor f(o).
5*o*(o - 1)**2/4
Let f = -206 - -145. Let g = f - -63. What is b in -3*b**4 + 6*b**3 - 21*b**2 + 8*b**g + 22*b**2 = 0?
-1, 0, 3
Let n(i) be the first derivative of 2*i**5/15 + 2*i**4 - 26*i**3/9 + 984. Determine z, given that n(z) = 0.
-13, 0, 1
Let b(q) be the second derivative of q**6/900 - q**5/12 - 23*q**3/6 - q**2/2 - 42*q. Let m(h) be the second derivative of b(h). Factor m(f).
2*f*(f - 25)/5
Suppose 4*k + 160 = -0*k. Let w = k + 53. Suppose -w*q + 49*q - 24 + 756*q**3 - 753*q**3 - 18*q**2 = 0. Calculate q.
2
Let r = 342717 + -342717. Determine u so that -2 - 4*u**2 + 2/3*u**4 - 16/3*u + r*u**3 = 0.
-1, 3
Let n(k) be the third derivative of k**6/180 + 2*k**5/45 + k**4/36 - 2*k**3/3 - 2*k**2 + 25*k + 1. Factor n(a).
2*(a - 1)*(a + 2)*(a + 3)/3
Suppose 14 = 4*q + 3*q. Suppose -q*s + 5 = -15. Let s + 15*f - 9*f**3 + 4*f**3 + 0*f**3 = 0. Calculate f.
-1, 2
Factor 1812/7*f + 410418/7 + 2/7*f**2.
2*(f + 453)**2/7
Let z(g) = -10*g**2 + 1000*g + 965. Let p(f) = -13*f**2 + 1004*f + 963. Let k(j) = -5*p(j) + 6*z(j). Factor k(b).
5*(b + 1)*(b + 195)
Suppose -31*d + 18336 = -23*d. Let z**2 - 3*z**2 - 54 + 2236*z - d*z = 0. What is z?
-27, -1
Suppose -3*c + d - 5 = 0, -2*c = 3*c + 2*d + 12. Let j be (c - (4 + -4))*(-6)/6. Factor 12/7*a + 2/7*a**j + 18/7.
2*(a + 3)**2/7
Let y(u) be the first derivative of 7 - 5/6*u**4 + 0*u**3 + 1/4*u**5 + 0*u**2 + 20*u. Let d(t) be the first derivative of y(t). Solve d(r) = 0.
0, 2
Let f(n) be the third derivative of -1/10*n**7 + 35*n**2 + 0 + 0*n**3 + 0*n - 23/40*n**6 - n**5 - 1/2*n**4. Let f(w) = 0. Calculate w.
-2, -1, -2/7, 0
Let x(m) = -m + 13. Let f = 45 - 37. Let u be x(f). Suppose -u*y**2 + 297*y - 7 - 327*y - 38 = 0. Calculate y.
-3
Let x be -8 - (-2 - 0) - ((-21)/(-3) + -37). Let s(q) be the third derivative of x*q**2 + 0*q - 1/6*q**3 - 1/8*q**4 + 0 - 1/120*q**6 - 1/20*q**5. Factor s(d).
-(d + 1)**3
Let l = -5248 - -5251. Let q(y) be the first derivative of 1/4*y**l - 10 + 3/8*y**2 + 0*y. Suppose q(m) = 0. Calculate m.
-1, 0
Let a(v) be the second derivative of -v**7/189 - v**6/45 + 4*v**5/45 + 2*v**4/9 - 16*v**3/27 + 133*v + 2. Find j such that a(j) = 0.
-4, -2, 0, 1, 2
Let c(r) be the second derivative of 3*r**5/20 + 5*r**4/4 - r**3/2 - 15*r**2/2 - 935*r. Factor c(w).
3*(w - 1)*(w + 1)*(w + 5)
Suppose a + 1 = -4*j - 355, j + a + 86 = 0. Let p = j - -278/3. Factor p - 4/3*c + 4/3*c**4 + 4/3*c**3 - 4*c**2.
4*(c - 1)**2*(c + 1)*(c + 2)/3
Suppose -5*g = -75, -5*b + 39*g = 44*g - 75. Determine z, given that 10/9*z**3 - 4/3*z - 10/9*z**2 + 2/9*z**5 + b + 10/9*z**4 = 0.
-3, -2, -1, 0, 1
Suppose s = -5*l - 57, 2*s + 3*l - 948 + 978 = 0. Suppose -676/3*c + 0 - 4/3*c**s + 104/3*c**2 = 0. Calculate c.
0, 13
Suppose 103*m = 102*m + 4. Let r be m + 1 + (-50)/20. Determine t, given that -1/2*t**5 - 5/2*t**4 - 5*t**3 - 5*t**2 - 1/2 - r*t = 0.
-1
Let y = -67 + -42. Let u = 111 + y. Solve 0*o + 0*o + 2*o**u + 8*o = 0.
-4, 0
Let k(h) be the first derivative of h**8/10920 + h**7/1092 - h**6/2340 - h**5/156 - 42*h**3 - 136. Let j(d) be the third derivative of k(d). Factor j(m).
2*m*(m - 1)*(m + 1)*(m + 5)/13
Let a be (2 + -1)*(96/(-6))/1. Let d = -8 - a. Let 0*q**3 - d*q**3 + 9*q**3 + q**2 = 0. What is q?
-1, 0
Suppose -n + 140*v = 137*v - 27, n + v - 11 = 0. Let -40/3*j**2 + 10/3*j**3 - 30*j + 5/3*j**4 - n = 0. What is j?
-3, -1, 3
Let g(z) be the first derivative of -z**4/6 + 196*z**3/9 - 193*z**2/3 + 64*z - 649. Factor g(b).
-2*(b - 96)*(b - 1)**2/3
Let p = -509383 + 509386. Suppose 0 - 9/2*i**p + 3/2*i**4 + 0*i + 3*i**2 = 0. Calculate i.
0, 1, 2
Let z be (867*-1)/(-3) + (-8)/(-2). Factor -27 - 5 - 4*c**2 + 269*c - z*c.
-4*(c + 2)*(c + 4)
Let f(b) be the third derivative of 11/2*b**4 + 1/14*b**7 - 6*b**3 + 1/16*b**8 - 51/40*b**6 + 8*b**2 + 7/20*b**5 - 4*b + 0. What is r in f(r) = 0?
-3, -1, 2/7, 1, 2
Solve -474/5 - 152/5*u + 2/5*u**2 = 0.
-3, 79
Let r(o) = -o**3 - 7*o**2 - 10*o - 21. Let i be r(-6). What is h in -41*h**4 + 8*h**2 + 8*h**3 + i*h + 19*h**5 + 15*h**4 - 3*h - 9*h**5 = 0?
-2/5, 0, 1, 2
Let l(j) be the second derivative of j**6/30 + 9*j**5/16 + 23*j**4/48 - 179*j**3/8 - 135*j**2/8 + j - 81. Let l(f) = 0. Calculate f.
-9, -5, -1/4, 3
Let n = -139798 + 139798. Solve 0 + 33/2*m**3 - 14*m**4 + 5/2*m**5 + n*m + 9*m**2 = 0.
-2/5, 0, 3
Suppose 4*c = 3*r - 128, -29*r - 5*c = -34*r + 205. Solve -382 + 177 - 171*g**3 - 3*g**5 - 468*g + 0*g**4 - 402*g**2 - r*g**4 - 11 = 0.
-3, -2
Let q = -1341865 + 4025599/3. Factor -q*u**4 + 8/3*u**2 + 26/3*u + 2/3*u**5 + 4 - 4*u**3.
2*(u - 3)*(u - 2)*(u + 1)**3/3
Solve -831/2*d**2 + 191*d + 76 + 2*d**4 + 293/2*d**3 = 0 for d.
-76, -1/4, 1, 2
Suppose 34/5*p**2 + 0 + 4*p**3 + 16/5*p + 2/5*p**4 = 0. Calculate p.
-8, -1, 0
Suppose 1886*w + 47*w**4 - 11*w**4 - 3*w**5 - 150*w**3 - 2021*w + 252*w**2 = 0. What is w?
0, 1, 3, 5
Let h(d) be the first derivative of 196 + 1/2*d**6 + 3*d**4 - 2*d**3 + 12/5*d**5 - 6*d - 15/2*d**2. Suppose h(z) = 0. Calculate z.
-2, -1, 1
Let m(x) = -37*x**2 + 78*x + 322. Let v(c) = -58*c**2 + 77*c + 323. Let r(k) = -3*m(k) + 2*v(k). Factor r(i).
-5*(i + 8)**2
Let w = 67 + -36. Suppose 0 = 5*l - 51 + w. Let 6*y**l - 4*y**4 + 140*y**3 + y**5 - 139*y**3 = 0. What is y?
-1, 0
Factor 0 + 112/9*h**2 + 38/3*h - 2/9*h**3.
-2*h*(h - 57)*(h + 1)/9
Let p(k) be the third derivative of -k**7/105 - 7*k**6/4 - 629*k**5/5 - 12427*k**4/3 - 39304*k**3 + 2224*k**2. Find x, given that p(x) = 0.
-34, -3
Let b(y) = -5*y**4 + 23*y**3 - 32*y**2 + 28*y - 4. Let n(m) = m**4 - 3*m**3 + 1. Let p(s) = -b(s) - 4*n(s). Factor p(a).
a*(a - 7)*(a - 2)**2
Let 248/7 - 4/7*c**2 + 244/7*c = 0. What is c?
-1, 62
Factor -2/11*z**2 + 0 - 86/11*z.
-2*z*(z + 43)/11
Let z(j) = -12*j**3 - 372*j**2 - 96*j + 3. Let u(w) = w**2 - w + 1. Let l(d) = 3*u(d) - z(d). Let l(m) = 0. Calculate m.
-31, -1/4, 0
Solve 18/7*g**2 - 18/7*g**4 - 3/7*g**5 + 0*g + 3/7*g**3 + 0 = 0 for g.
-6, -1, 0, 1
Determine m, given that -5633*m**2 - 26*m + 672 - 5552*m**2 + 11184*m**2 = 0.
-42, 16
Suppose 400*d = 348*d + 520. Let f(h) be the second derivative of 0 + 0*h**2 + 1/30*h**3 + d*h + 1/20*h**4. Factor f(y).
y*(3*y + 1)/5
Let j(i) be the second derivative of i**6/504 - i**5/30 - i**4/14 - i**3/6 - 2*i - 9. Let m(b) be the second derivative of j(b). Factor m(n).
(n - 6)*(5*n + 2)/7
Let i(h) be the first derivative of -h**4/11 + 2*h**3/33 + 105*h**2/11 - 5449. Factor i(c).
-2*c*(c + 7)*(2*c - 15)/11
Let a(q) = 10*q**3 - 12*q**2 - 2*q + 14. Let g(m) = 6*m**3 - 2*m**2 + 1. Let h(u) = 2*a(u) - 4*g(u). Solve h(c) = 0 for c.
-3, -2, 1
What is h in -6704/3*h + 2/3*h**2 + 5617952/3 = 0?
1676
Let y(h) be the third derivative of h**6/24 + 87*h**5/4 - 1315*h**4/12 - 3*h**2 - 561. Solve y(a) = 0 for a.
-263, 0, 2
Let u(o) be the third derivative of o**6/40 + o**5/20 - o**4/2 - 2*o**3 + 921*o**2. Let u(h) = 0. Calculate h.
-2, -1, 2
Let x(g) = g**3 - 7*g**2 + 36*g - 72. Let h be x(3). Let m(s) be the first derivative of -1/9*s**2 - 12 - 2/27*s**3 + h*s. Let m(i) = 0. Calculate i.
-1, 0
Suppose -24 = -19*s + 27*s. Let q be (0/(-1 + s))/(24/(-12)). Factor 16/5*c**3 + q + 16/5*c**2 + 4/5*c**4 + 0*c.
4*c**2*(c + 2)**2/5
Let k(p) = -6*p**5 - 50*p**3 + 175*p**2 + 1507*p + 7. Let l(b) = -7*b**5 + b**4 - 45*b**3 + 175*b**2 + 1508*b + 8. Let h(g) = 8*k(g) - 7*l(g). Factor h(f).
f*(f - 12)*(f - 5)*(f + 5)**2
Suppose -653*i - 353*i + 1216*i - 420 = 0. Factor -8/9*m**3 - 2/9*m**4 + 0 + 0*m - 2/3*m**i.
-2*m**2*(m + 1)*(m + 3)/9
Factor -121/2*d + 215 + 7/2*d**2.
(d - 5)*(7*d - 86)/2
Suppose 4*a = 14*a - 570. Suppose a*l - 24 = 49*l. Factor l*c - 23*c**3 + 63*c**3 + 30*c**2 + 35*c**3.
3*c*(5*c + 1)**2
Let l(k) be the first derivative of -529*k**4/34 + 368*k**3/51 - 16*k**2/17 + 1201. What