*v**3 - 47*v - 2/15*v**6 - 1 + 0*v**2 + 2*v**5 + 0*v**4. What is j in z(j) = 0?
0, 10
Let c be (-360)/252*35/(-10). Let l(a) be the third derivative of 0 + 0*a + 1/11*a**3 + 1/66*a**c - 1/660*a**6 - 30*a**2 - 7/132*a**4. Factor l(k).
-2*(k - 3)*(k - 1)**2/11
Let j be (6/15*(7 - 17))/(-1). Suppose 2*f = 4*v - 10, j = v - 5*f + 3*f. Solve 0 + 4/5*u**3 + 12/5*u**v + 8/5*u = 0.
-2, -1, 0
Let g = 3124623/17 - 183801. Determine t, given that 0*t**2 - g*t**3 - 4/17*t**4 + 2/17*t + 0 = 0.
-1, 0, 1/2
Factor 135/4 - 1/8*n**2 + 39/8*n.
-(n - 45)*(n + 6)/8
Let r = -1965793/5 + 393159. What is b in 156/5*b**2 + 3042/5*b + 0 + r*b**3 = 0?
-39, 0
Suppose 2*w + 9*w - 264 = 0. Factor 9*p**3 + w*p**3 - 67*p**4 + 70*p**4 + 105*p**2 + 75*p.
3*p*(p + 1)*(p + 5)**2
Suppose 6*x**2 - x**2 - 291288*x + 292898*x = 0. What is x?
-322, 0
Let i(z) be the second derivative of 5/3*z**3 - 14*z + 0*z**2 + 1/90*z**6 + 0 - 1/15*z**5 + 1/6*z**4. Let x(t) be the second derivative of i(t). Factor x(w).
4*(w - 1)**2
Let h = -151157 - -151157. Find q, given that 1/4*q**5 + 0*q**2 - 5/4*q**4 + q**3 + 0*q + h = 0.
0, 1, 4
Let w(p) = -p**3 - 7*p**2 + 20*p + 21. Let l be w(-9). Factor 348*f - 336*f - 4*f**l + 2*f**2 - 10*f**2.
-4*f*(f - 1)*(f + 3)
Let r(p) be the third derivative of -p**8/1680 - 13*p**7/1050 - 11*p**6/300 + p**5/150 + 23*p**4/120 + 11*p**3/30 + 1175*p**2. Suppose r(t) = 0. What is t?
-11, -1, 1
Let n be (-1)/(-2 - 5830/(-2910)). Let s = n + 2039/7. Factor 0*k**2 - 4/7*k**3 + 2/7*k**4 - s + 4/7*k.
2*(k - 1)**3*(k + 1)/7
Suppose 5*i + 3*n + 11354 = 0, -4*i + 95*n - 9079 = 96*n. Let c = i + 29507/13. Find p, given that 10/13*p - 12/13 - 10/13*p**3 + c*p**2 + 2/13*p**4 = 0.
-1, 1, 2, 3
Let m be 1 + 45/24 + 4186/(-1716) + (-8)/132. Factor 0 + m*s**2 + 9*s.
3*s*(s + 24)/8
Solve 1707/2*q - 1/2*q**2 + 0 = 0 for q.
0, 1707
What is v in 2/3*v - 8/5*v**2 + 2/15*v**3 + 20 = 0?
-3, 5, 10
Let -2/11*r**2 - 432/11 + 60/11*r = 0. Calculate r.
12, 18
Let h(n) be the first derivative of n**4/2 - 74*n**3/3 + 71*n**2 - 70*n + 168. Let h(g) = 0. Calculate g.
1, 35
Let v(m) be the first derivative of m**4/3 - 28*m**3 + 882*m**2 - 75*m + 69. Let r(b) be the first derivative of v(b). Suppose r(g) = 0. What is g?
21
Factor 1/4*u**3 + 539/4*u + 95/4*u**2 + 445/4.
(u + 1)*(u + 5)*(u + 89)/4
Suppose 0 = -2*c + 4*g - 12, 3*c + 5*g = c + 33. Solve 9*j**3 + 11*j**c + 0*j**2 + 328*j + 4*j**5 - 166*j + j**2 - 163*j = 0.
-1, 0, 1/4
Suppose 4*g - 64*a + 60*a - 36 = 0, -12 = 2*a. Let v(o) be the first derivative of 5/18*o**g + 25/6*o**2 - 2 + 125/6*o. Factor v(r).
5*(r + 5)**2/6
Let s be ((-4488)/20944)/((-2)/12). Let 6/7 + s*i + 3/7*i**2 = 0. What is i?
-2, -1
Let v = 39 - 37. Determine i, given that 4*i**4 - 21*i**5 + 24*i**5 + 48*i - 12*i**v - 36*i**3 - 7*i**4 = 0.
-2, 0, 1, 4
Let f(t) = -14*t**3 - 406*t**2 - 10806*t - 10. Let g(c) = -8*c**3 - 202*c**2 - 5402*c - 6. Let i(m) = -3*f(m) + 5*g(m). Factor i(h).
2*h*(h + 52)**2
Let w(j) be the second derivative of 5/33*j**4 + 1/55*j**5 - 5/11*j**2 - 1/33*j**6 + 0 - 1/231*j**7 - 176*j - 1/33*j**3. Determine i so that w(i) = 0.
-5, -1, 1
Let g be 129450/900 + -143 - 4/6*1. Factor g*d**2 + 5/6*d + 1/2 - 1/6*d**3.
-(d - 3)*(d + 1)**2/6
Let l be 102/14 - (333/63 + -5). Factor 5 + q**2 + q**3 - 11 + 12*q - 2 - l*q**2.
(q - 2)**3
Let t be 69*(-5)/15*(-1)/1. Let f be 46/t - 16/10. Factor 2/5*a + f*a**2 - 12/5.
2*(a - 2)*(a + 3)/5
Let i(x) be the first derivative of -2*x**3/9 - 7*x**2/3 + 12*x - 4230. Factor i(c).
-2*(c - 2)*(c + 9)/3
Let r(x) be the first derivative of -x**6/70 + 3*x**5/10 + 3*x**4/28 - 20*x**3/7 - 6*x**2 + 92*x - 89. Let d(n) be the first derivative of r(n). Solve d(o) = 0.
-1, 2, 14
Suppose -12 = -12*j + 8 - 20. Let x(m) be the third derivative of 0*m**3 - 1/40*m**6 + 6*m**2 + 1/112*m**8 + 0*m + 0 + 0*m**7 + j*m**4 + 0*m**5. Factor x(n).
3*n**3*(n - 1)*(n + 1)
Let c(j) be the second derivative of -1/8*j**2 + 75*j - 1/48*j**3 + 1/96*j**4 + 2. Factor c(n).
(n - 2)*(n + 1)/8
Let a = -4498466/17 + 264616. Find q, given that -a*q**4 - 2/17*q**5 + 0*q**2 + 8/17*q**3 + 0*q + 0 = 0.
-4, 0, 1
Let -82/5*o**2 + 2/5*o**4 + 0 + 72/5*o + 8/5*o**3 = 0. Calculate o.
-9, 0, 1, 4
Let g(p) be the second derivative of p**5/90 - 31*p**4/54 - 71*p**3/9 - 37*p**2 - 56*p + 6. Factor g(t).
2*(t - 37)*(t + 3)**2/9
Let k = 143147 + -143147. Suppose 3*x + 3 = 2*p - p, 0 = -3*p + 9. Factor -3/8*v**4 + 3/4*v**3 + k + x*v - 3/8*v**2.
-3*v**2*(v - 1)**2/8
Solve -249*c**2 + 408*c**2 - 402*c**2 - 109*c**2 + 4*c**3 - 2*c**3 = 0.
0, 176
Let o = 6907 - 6887. Let t(z) be the second derivative of 0*z**2 - o*z - 3/4*z**4 - 1/3*z**3 - 1/5*z**5 + 0. Factor t(c).
-c*(c + 2)*(4*c + 1)
Let d be 12/(-9) + 3/3 + (154 - 277) + 125. Let m = 0 - -2. Factor -d*i**m + 4/3*i + 1/3.
-(i - 1)*(5*i + 1)/3
Determine d so that -206*d - 189/2*d**5 + 79/2*d**3 - 593*d**2 - 12 + 344*d**4 = 0.
-1, -2/7, -2/27, 2, 3
Suppose 0 = -4*k + k + 33. Suppose -18*o + k*o + 273 = 0. Factor o*r**3 - r**2 + 41*r**2 + 2 - 19*r - 14*r**3.
(r + 2)*(5*r - 1)**2
Suppose -202*l + 16 = -186*l. Let y(k) = 2*k**3 - 3*k**2 + 14*k - 13. Let a be y(l). Factor a + 22/5*z**2 - 2/5*z**3 - 4*z.
-2*z*(z - 10)*(z - 1)/5
Let b = -1742 + 1744. Suppose 5*a - 2*c - 144 = -0*a, -c + 93 = 3*a. Factor a + 4*r**2 - 19*r + 70 - 23*r + b*r.
4*(r - 5)**2
Suppose -6*d + 2289 = 597. Let t = d - 280. Determine i, given that 2*i**t + 0 + 3/2*i**3 - 2*i - 1/2*i**5 - i**4 = 0.
-2, 0, 1
Let a(g) be the first derivative of -g**5/80 - 7*g**4/48 - g**3/2 + 9*g + 46. Let n(d) be the first derivative of a(d). Find w, given that n(w) = 0.
-4, -3, 0
Let w(o) be the first derivative of -o**4/22 - 496*o**3/33 - 245*o**2/11 + 988*o/11 + 3698. Let w(b) = 0. What is b?
-247, -2, 1
Suppose -8 = -3*c - 4*a + 21, -5*a = 3*c - 34. Factor -6*d**2 - 8*d - 153 + 96 + 81 - 4*d + 3*d**c.
3*(d - 2)**2*(d + 2)
Let o = 1846559/12 - 459689/3. Factor o + 255/2*c + 25/4*c**2.
(5*c + 51)**2/4
Let a(z) be the second derivative of z**7/252 + 143*z**6/180 + 282*z**5/5 + 1440*z**4 - 3072*z**3 - 2*z - 403. Factor a(w).
w*(w - 1)*(w + 48)**3/6
Let u = 4192 - 37726/9. Let n(w) be the second derivative of 2/15*w**5 + 0*w**2 - 1/45*w**6 + 0 + 33*w + 0*w**3 - 1/63*w**7 + u*w**4. What is b in n(b) = 0?
-2, -1, 0, 2
Let t = -224 - -226. What is h in -5*h - 8*h + t*h**2 + 22*h - 4*h + 6 - h**2 = 0?
-3, -2
Let j(z) = 6*z**2 - 45*z - 132. Let p(y) = 2*y**2 - 13*y + 6. Let w be p(5). Let k(h) = -3*h**2 + 23*h + 66. Let x(u) = w*k(u) - 4*j(u). Factor x(c).
3*(c - 11)*(c + 2)
Let r(z) = -3*z - 1. Let x(w) = -w**2 - 63*w + 566. Let b(t) = -3*r(t) + x(t). Let o be b(9). Factor -f + 1/2 + 1/2*f**o.
(f - 1)**2/2
Let f = 4661/4 + -163133/140. Let d(y) be the third derivative of 4*y**2 - f*y**6 - 4/7*y**3 + 0*y + 17/42*y**4 + 0 + 4/105*y**5. Factor d(j).
-4*(j - 3)*(j + 2)*(3*j - 1)/7
Let g(m) = m**3 + 11*m**2 + 6*m - 20. Let u be g(-11). Let o = u + 706. Factor 10*k**3 + 176 + o*k + 18*k**3 + 24 - 272*k**2.
4*(k - 5)**2*(7*k + 2)
Factor 3*i**2 + 394 + 250*i + 66*i + 22 + 250 + 23*i.
3*(i + 2)*(i + 111)
Let q(n) be the first derivative of -7*n**7/600 + 119*n**6/1800 + 2*n**5/15 + n**4/10 - 22*n**3 + 33. Let i(f) be the third derivative of q(f). Factor i(r).
-(r - 3)*(7*r + 2)**2/5
Let g be (-16405)/965 - ((-140)/8 - 1). Factor -g - s**2 + 25/4*s.
-(s - 6)*(4*s - 1)/4
Let p(a) be the second derivative of a**5/60 + 7*a**4/4 + 147*a**3/2 - 4*a**2 - 37*a. Let b(m) be the first derivative of p(m). Find o, given that b(o) = 0.
-21
Let w(i) be the second derivative of -i**6/25 + 23*i**5/100 - 11*i**4/20 + 7*i**3/10 - i**2/2 + 145*i. Solve w(k) = 0.
5/6, 1
Determine p, given that 0 + 172/3*p**2 - 3698/3*p - 2/3*p**3 = 0.
0, 43
Let i(n) = 3145*n**2 - 248*n + 5. Let k(j) = 53475*j**2 - 4215*j + 85. Let u(m) = 35*i(m) - 2*k(m). Let u(c) = 0. What is c?
1/25
Let b(q) be the third derivative of -1/8*q**5 - 1/96*q**6 + 25/32*q**4 - 5/3*q**3 + 0 + 35*q**2 + 2*q. Factor b(y).
-5*(y - 1)**2*(y + 8)/4
Let b(g) be the third derivative of -5/6*g**4 + 7/15*g**5 + 1/30*g**6 - 50*g**3 - 191*g**2 + 1 + 0*g. Factor b(z).
4*(z - 3)*(z + 5)**2
Find n, given that 30500 + 3588*n + 2911*n + 405*n**2 - 890*n**3 + 101*n + 445*n**3 + 450*n**3 = 0.
-61, -10
Let u = 1436570 + -1436568. Factor 2/3*c**3 + u + 10/3*c**2 + 14/3*c.
2*(c + 1)