ative of 153/5*m + 111/10*m**2 + 237 + 1/20*m**4 + 23/15*m**3. Let h(z) = 0. What is z?
-17, -3
Let c(f) be the first derivative of 5/8*f**2 - 1/12*f**3 + 72 + 7/2*f. Factor c(s).
-(s - 7)*(s + 2)/4
Let n(p) be the first derivative of p**4/12 + 34*p**3/9 + 42*p**2 - 216*p + 1762. Factor n(g).
(g - 2)*(g + 18)**2/3
Let g(o) be the second derivative of o**7/126 - 13*o**6/45 - o**5/60 + 13*o**4/18 + 1740*o. Solve g(m) = 0.
-1, 0, 1, 26
Let h(a) = -5*a + 184. Let w be h(36). Suppose -456*u + w = -454*u. Factor -5/7*m + 1/7*m**3 + 1/7*m**u + 3/7.
(m - 1)**2*(m + 3)/7
Let g(q) = -q + 2. Let h be g(0). Let c = 153 - 150. Suppose -4*o - c*o**h - 12*o**3 + 13*o**3 + 5*o**2 + o = 0. What is o?
-3, 0, 1
Let y be 199/(-398) - 50/(-96). Let l(v) be the third derivative of 31*v**2 - 1/840*v**7 + 0 + 1/160*v**6 - 1/6*v**3 + y*v**5 - 1/32*v**4 + 0*v. Factor l(j).
-(j - 4)*(j - 1)*(j + 1)**2/4
Let g(z) = -12*z**5 + 45*z**4 + 312*z**3 + 711*z**2 + 591*z + 210. Let f(v) = -v**5 - v**4 - 2*v**3 + v**2 + 2. Let m(h) = 15*f(h) - g(h). Factor m(j).
-3*(j + 1)**3*(j + 5)*(j + 12)
Let g(j) be the second derivative of -j**6/20 + 37*j**5/40 - 25*j**4/8 + 17*j**3/4 - 5*j**2/2 + 2894*j. Suppose g(b) = 0. Calculate b.
1/3, 1, 10
Let o be (-11 - 715/(-66))*(-2 + 5/10). Solve -o*z + 1/4*z**3 + 1/4 - 1/4*z**2 = 0.
-1, 1
Factor 0 + 0*q - 72*q**2 + 62/3*q**3 - 2/3*q**4.
-2*q**2*(q - 27)*(q - 4)/3
Let w(z) be the third derivative of -3*z**8/80 - 17*z**7/35 - 457*z**6/200 - 126*z**5/25 - 53*z**4/10 - 8*z**3/5 - 4*z**2 + 162*z + 1. Solve w(c) = 0 for c.
-4, -2, -1, -2/21
What is v in -1/8*v**3 + 15/8 + 13/8*v - 3/8*v**2 = 0?
-5, -1, 3
Let i(f) be the third derivative of 4/105*f**7 + 1/2*f**4 + 1/84*f**8 + 0*f - 2/15*f**5 + 27*f**2 + 0 - 2/15*f**6 + 0*f**3. Factor i(p).
4*p*(p - 1)**2*(p + 1)*(p + 3)
Factor 0*f + 0 + 44/9*f**3 - 242/9*f**2 - 2/9*f**4.
-2*f**2*(f - 11)**2/9
Let y(g) = -84*g + 1094. Let o be y(13). Let r(z) be the second derivative of 1/10*z**5 + 1/2*z**4 + 0 - 4*z**o - 34*z + 0*z**3. Factor r(c).
2*(c - 1)*(c + 2)**2
Let d(g) be the third derivative of -g**7/840 - 169*g**6/160 - 28561*g**5/80 - 4826809*g**4/96 + 27*g**2 - 5. Factor d(z).
-z*(z + 169)**3/4
Let o be 10/(-12)*(-3)/((-300)/(-10)). Let w(q) be the third derivative of 0*q + 15*q**2 - o*q**4 + 0 - 1/30*q**5 + 0*q**3. Suppose w(j) = 0. What is j?
-1, 0
Let j be 5 - 14/(-7 - 0). Let x be (j - (-1 + 8))/5. Factor 4/11*o - 38/11*o**4 + x - 30/11*o**3 - 2/11*o**2 - 14/11*o**5.
-2*o*(o + 1)**3*(7*o - 2)/11
Let v(h) be the second derivative of -3*h**5/20 + h**4/12 + h**3/2 + h**2 - 157*h. Let w be v(0). Determine l, given that 2/3*l**w + 16/3*l + 32/3 = 0.
-4
Let c be (0 + -1*55)*(-96)/120. Let i = c + -41. Determine q, given that -4*q**i + 5*q**3 - 3*q**3 + 131*q**2 - 133*q**2 = 0.
-1, 0
Solve -958*u**2 - 978*u**2 + 2922*u**2 - 941*u**2 - 5*u**3 = 0 for u.
0, 9
Let m = 131/12 - 125/12. Let w = 26 - 26. Solve -1/4*y**4 + 1/2*y**3 + 1/4 + w*y**2 - m*y = 0.
-1, 1
Let b be 58/3 + ((-280)/(-30))/14. Factor -363*x**2 + 363*x**2 - 20*x**4 - b*x**3 - 5*x**5.
-5*x**3*(x + 2)**2
Let m(o) be the third derivative of o**7/105 - 77*o**6/30 + 6077*o**5/30 - 2774*o**4/3 - 5776*o**3 + 125*o**2 - 2*o - 6. Find f, given that m(f) = 0.
-1, 3, 76
Factor -1227 - 3/2*u**2 - 1233/2*u.
-3*(u + 2)*(u + 409)/2
Let q = 3947 + -3945. Let o(h) be the second derivative of 1/12*h**q + 1/18*h**3 + 0 + 7*h + 1/72*h**4. Determine z, given that o(z) = 0.
-1
Let y(p) be the first derivative of -p**5 + 3*p**4 + 31*p**3/3 + 3*p**2 - 8*p + 332. Factor y(x).
-(x - 4)*(x + 1)**2*(5*x - 2)
Determine n, given that 33/4 - 2*n + 2*n**3 - 17/2*n**2 + 1/4*n**4 = 0.
-11, -1, 1, 3
Let o be 0*(-8)/6*(-3)/12. Let t = o + 3. Factor 2*n**5 - 2*n**4 + 4*n**4 - 5*n**4 + n**3 + t*n**2 - 2*n**3 - n.
n*(n - 1)**2*(n + 1)*(2*n - 1)
Let u(f) be the second derivative of -f**5/20 + 67*f**4/6 - 265*f**3/6 + 66*f**2 - 3*f - 19. Suppose u(m) = 0. What is m?
1, 132
Let z = -2 + 6. Let s(l) = l - 1. Let x be s(z). Let 9*t + 6*t**3 + 6*t**4 - 12*t**2 - 7*t - x*t**5 - 5*t + 6 = 0. What is t?
-1, 1, 2
Let o = 2/975047 + 3900182/2925141. Find j such that -784/3 - 896/3*j - 116/3*j**2 - o*j**3 = 0.
-14, -1
Let f(b) be the second derivative of b**6/30 - 3*b**5/2 + 289*b**4/12 - 130*b**3 - 550*b**2 + 66*b. Factor f(k).
(k - 11)*(k - 10)**2*(k + 1)
Solve -1/2*o**3 - 2030*o + 61*o**2 + 10092 = 0.
6, 58
Let z be ((-854)/70 - -12)*0. Let v(u) be the third derivative of 3/32*u**4 + 1/30*u**5 + 1/24*u**3 + 0*u + z + 8*u**2. Factor v(d).
(d + 1)*(8*d + 1)/4
Let s(a) be the first derivative of 194 + 0*a - a**2 - 1/6*a**3. Determine h so that s(h) = 0.
-4, 0
Suppose -2*o = -3*r - 86 - 57, -2*r = 3*o - 221. Let h = -68 + o. Solve -12*d - 11*d - 6 + h*d - 14 + 2*d**2 = 0 for d.
-1, 10
Let x(y) be the first derivative of -y**4/4 - y**3/3 + 2*y + 6. Let g be x(0). Let -4*t**2 + 3*t**g + 2 + 11*t - 12*t = 0. What is t?
-2, 1
Let w = 50519 + -50514. Find x such that -72/7 - 290/7*x**2 + 2*x**w - 48*x + 34/7*x**3 + 74/7*x**4 = 0.
-3, -1, -2/7, 2
Let x(l) be the first derivative of 2*l**3/9 + 16*l**2/3 + 40*l + 118. Factor x(d).
2*(d + 6)*(d + 10)/3
Let c(x) = -2*x**2 + 43*x + 29. Let a be c(22). Solve n**2 - 7*n**2 + n + n + a*n**2 = 0 for n.
-2, 0
Let v(y) = -y - 3. Let x be ((-24)/(-16))/3*-12. Let s(g) = g**2 + 5*g - 36. Let t(c) = x*v(c) + 3*s(c). Solve t(k) = 0 for k.
-10, 3
Find j, given that 32*j + 878*j**2 + 84*j + 228 - 877*j**2 = 0.
-114, -2
Let o(p) = -12 + 34 + 13 - 8*p - p**2. Let v be o(-11). Factor 0 + 21/2*b**3 + 13/2*b**v + b.
b*(3*b + 1)*(7*b + 2)/2
Let x be (-175)/630 + (-18)/(-4) + -4. Let a(r) be the first derivative of 0*r + 6 + x*r**3 + 0*r**2 + 1/12*r**4. Find k such that a(k) = 0.
-2, 0
Let x(g) = 3*g**3 + 14*g**2 - 40*g. Let m(i) = -20*i**3 - 100*i**2 + 280*i. Let c(k) = -8*m(k) - 55*x(k). Factor c(n).
-5*n*(n - 4)*(n - 2)
Let q(f) = -36*f - 20. Let s be q(-6). Suppose -32*u**2 + 193*u**3 - s*u**3 - 31*u**2 = 0. What is u?
-21, 0
Let u(j) be the first derivative of j**5/50 + 7*j**4/30 + 11*j**3/15 + j**2 - 194*j + 122. Let c(t) be the first derivative of u(t). Factor c(a).
2*(a + 1)**2*(a + 5)/5
Let h = 1261/2521 - 1/5042. Let v(w) be the first derivative of -h*w**4 + 1/3*w**3 + 38 + 0*w + 0*w**2 + 1/5*w**5. What is y in v(y) = 0?
0, 1
Let o = 28959/31 - 86846/93. Suppose 8 + 2/3*f - o*f**2 = 0. What is f?
-4, 6
Let i(p) be the first derivative of -p**4/66 + 10*p**3/33 + p**2 + 84*p - 25. Let j(b) be the first derivative of i(b). Let j(s) = 0. Calculate s.
-1, 11
Solve -10379/4*o + 47045/4 - 1/4*o**3 + 199/4*o**2 = 0 for o.
5, 97
Let f = -198121/31428 + 1105/324. Let g = -22/97 - f. Factor -10/3 + g*y + 2/3*y**2.
2*(y - 1)*(y + 5)/3
Suppose 46/3*u**2 + 95/3*u + 16 - 1/3*u**3 = 0. Calculate u.
-1, 48
Suppose 2 = 6*s - 4*s, -203 = -4*h + 5*s. Find f such that 409*f**3 - 3 - 14 + h*f + 65*f**2 - 413*f**3 = 0.
-1, 1/4, 17
Suppose -3*n = -12*n - 792. Let a = n + 90. Factor -25 + 3*o**a + 25 + 27*o.
3*o*(o + 9)
Let c(o) be the third derivative of 7*o**6/80 + 937*o**5/20 + 797*o**4/4 - 266*o**3 - 558*o**2 + 2. Solve c(v) = 0.
-266, -2, 2/7
Let u(v) be the second derivative of -6125/8*v**4 - 1/24*v**6 + 0 - 214375/6*v**3 + 28*v - 35/4*v**5 - 7503125/8*v**2. Determine m, given that u(m) = 0.
-35
Let b = -925 - -927. Let d be ((-75)/(-50))/(b/4). Determine v, given that 14/9*v**4 + 52/9*v**d - 10/3*v**2 + 16/9 - 52/9*v = 0.
-4, -1, 2/7, 1
Find k such that 1440 - 145*k**2 + 213*k**2 - 64*k**2 + 184*k = 0.
-36, -10
Let w(f) = 54*f - 212. Let t be w(4). Let s(z) be the first derivative of -5/2*z**2 - 15/4*z**t + 10 + 0*z + z**5 + 5*z**3. Factor s(p).
5*p*(p - 1)**3
Let m = -84 + 87. Suppose m*w + 3*w = 24. Find g such that -76*g**4 + 80*g**4 + 4*g - g**3 + 9*g**3 + 12*g**2 + w*g**3 = 0.
-1, 0
Let m(k) be the second derivative of -k**6/30 + k**5/20 + k**4/4 - k**3/6 - k**2 - 9*k - 37. Determine p, given that m(p) = 0.
-1, 1, 2
Let j = -697054 - -697056. Factor 9/4*n - j - 1/4*n**2.
-(n - 8)*(n - 1)/4
Factor 25/6*a**3 + 2/3*a**4 - 48*a - 46/3*a**2 + 0.
a*(a - 4)*(a + 8)*(4*a + 9)/6
Let v(k) be the first derivative of -8 + 1/4*k**3 + k**2 - 1/2*k**4 - 3/4*k. Factor v(t).
-(t - 1)*(t + 1)*(8*t - 3)/4
Let p(u) be the third derivative of -u**8/3192 - u**7/35 - 241*u**6/380 + 2521*u**5/570 