Factor v(d).
(d - 1)*(13*d + 2)
Let p(v) be the third derivative of 1/156*v**4 + 3 - 1/780*v**6 - 17/195*v**5 + 5*v**2 + 0*v + 34/39*v**3. Factor p(z).
-2*(z - 1)*(z + 1)*(z + 34)/13
Let u(v) be the third derivative of 25*v**2 + 0 + 0*v + 17/18*v**3 + 1/360*v**6 - 83/144*v**4 + 29/360*v**5. Let u(j) = 0. What is j?
-17, 1/2, 2
Let f = -172533 - -345067/2. Suppose -5*j + 4*b + 1 = -2*j, -4*j + 16 = 2*b. Factor t**j + 1/2*t**2 - f*t**4 + 0 - t.
-t*(t - 2)*(t - 1)*(t + 1)/2
Let m = 140 - 200. Let a = m - -64. Let -2*z**3 + z**3 + 7*z**3 - 2*z**3 - 12*z**2 + 4*z**4 + 8 - a*z = 0. Calculate z.
-2, -1, 1
Let h = -156 - -155. Let m be 12/28 - (h - 30/(-35)). Solve -2/7*g**4 - m*g + 0*g**3 + 0 + 6/7*g**2 = 0.
-2, 0, 1
Let v = 79 + -76. Suppose v*c + 6 = 0, 2*n - 2*c + 5*c = 6. Let -n*g**4 + 194*g**2 - 186*g**2 + 12*g**3 - 14*g**4 = 0. Calculate g.
-2/5, 0, 1
Determine f so that -21/4 - 9/4*f**4 + 1/4*f**5 + 15/2*f**2 - 11/4*f + 5/2*f**3 = 0.
-1, 1, 3, 7
Let u(r) be the first derivative of 3/7*r**4 + 64/21*r**3 + 87 - 72/7*r + 30/7*r**2. Determine l so that u(l) = 0.
-3, 2/3
Let l(r) be the second derivative of r**5/20 - r**4/3 - 19*r**3/6 - 7*r**2 + 87*r - 5. Factor l(f).
(f - 7)*(f + 1)*(f + 2)
Suppose 5*y + 2 = 17. Let -60*s**y + 117 + 60*s - 17 - 95*s**2 - 5*s**4 + 0*s = 0. What is s?
-10, -2, -1, 1
Factor 29/4*j**2 - 2 + 57/2*j.
(j + 4)*(29*j - 2)/4
Let m(a) be the second derivative of a**7/8820 + a**6/63 + 20*a**5/21 - a**4/6 - 59*a. Let c(p) be the third derivative of m(p). Suppose c(y) = 0. Calculate y.
-20
Let o = 5454 - 5438. Let q(v) be the second derivative of 0*v**2 + 3/40*v**6 + o*v + 0 + 3/8*v**5 + 1/4*v**4 - v**3. Factor q(s).
3*s*(s + 2)**2*(3*s - 2)/4
Let h = 64 + 1261. Factor -p**2 + 4*p**2 - 1 + 1323*p - h*p.
(p - 1)*(3*p + 1)
Let y(c) be the first derivative of -3*c**2 + 25*c - c**4 + 25/6*c**3 - 7/20*c**5 + 27. Let i(f) be the first derivative of y(f). Find m such that i(m) = 0.
-3, 2/7, 1
Let i(j) = 3*j**3 + 171*j**2 - 4097*j + 7401. Let c(v) = -2*v**3 - 85*v**2 + 2054*v - 3701. Let x(h) = -10*c(h) - 6*i(h). Solve x(l) = 0.
2, 43
Let f(d) = -2*d**3 + 10*d**2 + 3. Let o be f(5). Let 55*i**2 + 196 - 40 + 110*i + 97*i**2 - 267*i**3 + 200*i + 265*i**o = 0. What is i?
-1, 78
Suppose 15*u + 22 = -8. Let t be -8 - u/1 - -8. Factor 9/4*h**3 - 3/2*h**t + 0*h + 0 + 3/2*h**4.
3*h**2*(h + 2)*(2*h - 1)/4
Let y = 41629/166588 - -9/83294. Find r, given that -y*r**2 - 4*r - 16 = 0.
-8
Suppose -16 + 73 = 4*b + 15*b. Let u(l) be the second derivative of -5/4*l**4 + 1/20*l**5 - 125/2*l**2 + 0 + 25/2*l**3 + b*l. Factor u(w).
(w - 5)**3
Find l such that 4660*l**2 + 5428900*l + 4/3*l**3 + 6324668500/3 = 0.
-1165
Let f(z) be the third derivative of 1/6*z**4 + 1 + 67*z**2 - 1/3*z**3 + 0*z - 1/30*z**5. Let f(p) = 0. Calculate p.
1
Suppose 5*q = -0*q - 4*t + 413, -4*q + 330 = 3*t. Find m, given that -11*m**3 - m**4 - 14 + 27 - 67 - q*m - 45*m**2 + 0*m**4 = 0.
-3, -2
Let z = -86968 - -86971. Suppose 52/7*y - 32/7 + 2/7*y**4 - 16/7*y**z - 6/7*y**2 = 0. What is y?
-2, 1, 8
Let z(a) be the first derivative of -1000*a + 1050*a**2 + 343/4*a**4 + 6 - 490*a**3. Factor z(p).
(7*p - 10)**3
Factor -6/7 + 12*n + 72/7*n**3 - 150/7*n**2.
6*(n - 1)**2*(12*n - 1)/7
Let u = -13763 - -13788. Let n(w) be the second derivative of -3/50*w**5 + 3/10*w**2 + u*w + 0 + 0*w**4 + 1/5*w**3 - 1/50*w**6. Factor n(t).
-3*(t - 1)*(t + 1)**3/5
Let d(z) = 26*z**2 - 3*z + 2. Let v be d(-2). Let s = v + -110. Find h, given that 10*h**2 + 58 + 2*h**4 + 4*h - 58 + 8*h**3 + 0*h**s = 0.
-2, -1, 0
Let q(a) be the first derivative of -5*a**6/6 - 373*a**5 - 172975*a**4/4 + 174845*a**3/3 - 857. Determine m so that q(m) = 0.
-187, 0, 1
Let q(t) be the second derivative of -t**7/42 + 179*t**6/30 + 181*t**5/10 + t**4/6 - 361*t**3/6 - 181*t**2/2 - 10968*t. Factor q(p).
-(p - 181)*(p - 1)*(p + 1)**3
Let t(h) = -92*h**2 + 77*h + 104. Let f(z) = 16*z**2 - 13*z - 18. Let a(d) = -17*f(d) - 3*t(d). Factor a(u).
2*(u - 3)*(2*u + 1)
Factor 8/5*h**3 + 24/5*h**4 - 108/5*h - 144/5*h**2 + 4/5*h**5 + 216/5.
4*(h - 2)*(h - 1)*(h + 3)**3/5
Suppose c + 2*o - 491 = 0, -2*c + 699 + 287 = 2*o. Suppose c*w - 2 = 494*w. Let 2/3*a**5 - 4/9*a**4 + 4/9*a**w + 0 - 2/3*a**3 + 0*a = 0. What is a?
-1, 0, 2/3, 1
Let m = -1339 - -196835/147. Let i = m + 431/735. Factor -3/5*t + i*t**3 + 0 + 3/5*t**4 - 3/5*t**2.
3*t*(t - 1)*(t + 1)**2/5
Let t be (-1 - -2)*(-21)/(-7). Suppose -59 = -4*k + 5*a, -16*a + 48 = t*k - 19*a. Solve 3/4*b**3 + k*b + 6 - 3/2*b**5 + 39/2*b**2 - 21/4*b**4 = 0 for b.
-2, -1, -1/2, 2
Let g be 0 + -2 + 2 + 4/2. Factor -351*t**5 - 3*t**4 + 12*t**3 - 4*t**g + 2*t**4 - 16*t + 350*t**5.
-t*(t - 2)**2*(t + 1)*(t + 4)
Let q(o) be the second derivative of -o**5/40 + 5*o**4/8 + 4*o**3/3 - 4199*o. Factor q(m).
-m*(m - 16)*(m + 1)/2
Determine v so that 395*v**2 + 2540*v + 22*v**5 + 288 + 1968*v**3 + 831*v + 354*v**4 + 181*v + 4005*v**2 = 0.
-6, -2, -1/11
Let g = -7739/2213295 - 1/4137. Let t = g - -1621/4280. Solve 3/8*k**2 + 3/8*k**3 - 3/8*k + 0 - t*k**4 = 0 for k.
-1, 0, 1
Let w(r) be the first derivative of -r**5/240 - 25*r**4/96 + r**2 + 26*r + 146. Let x(k) be the second derivative of w(k). Suppose x(q) = 0. What is q?
-25, 0
Let p(g) = g**2 - 28*g + 8. Let f be p(28). Let n(w) = -w**3 + 8*w**2 + 5*w - 38. Let s be n(f). Let 4*b**s - 21*b + 225 - 9*b - 3*b**2 = 0. Calculate b.
15
Let x = 313 + -55. Suppose 113*h = 27*h + x. Determine o so that 0*o**2 - 2/7*o**4 + 0*o + 0 + 0*o**h = 0.
0
Let l(m) be the first derivative of 5*m**7/56 - 13*m**6/120 - m**5/40 + 21*m - 57. Let i(a) be the first derivative of l(a). Factor i(g).
g**3*(g - 1)*(15*g + 2)/4
Solve -209*c**4 - 13520 + 1598*c**2 - 498*c**2 - 122*c**3 - 11128*c + 211*c**4 + 1168*c**2 = 0.
-1, 10, 26
Let f(i) be the third derivative of -i**8/1176 - 58*i**7/245 - 527*i**6/28 - 2890*i**5/21 - 17*i**2 - 35*i. Find l such that f(l) = 0.
-85, -4, 0
Let h be ((-101)/22 - -5)/(35/(5040/54)). Find r, given that -8/11*r + 2/11 + h*r**2 - 8/11*r**3 + 2/11*r**4 = 0.
1
Let a = -1/922 + 51637/4610. Factor 12/5 + a*h + 44/5*h**2.
4*(h + 1)*(11*h + 3)/5
Suppose 4*n + 12 = 3*c, c - 8 = -2*n + 6. Suppose 0*s = 2*s - c. Solve 5*q**4 + 4*q**3 - s*q**4 - 16 - 16*q + 0*q**4 = 0.
-2, 2
Let m(s) = -76*s + 5477. Let h be m(72). Let w(z) be the third derivative of 1/70*z**7 + 0*z**4 + 0 + 4/5*z**h + 0*z + 0*z**3 - 25*z**2 - 1/5*z**6. Factor w(i).
3*i**2*(i - 4)**2
Factor 0 + 2*c**4 + 1542*c - 95*c**2 - 1346*c - 87*c**2 - 16*c**3 + 0.
2*c*(c - 14)*(c - 1)*(c + 7)
Suppose -2*v - 21 = -2*b + 11, 4*b - 82 = -5*v. Let r = b - 14. Factor 50*i**2 + 5*i**r - 36*i - 10*i**3 - 11*i**3 - 6*i**3 + 8.
(i - 2)**2*(i - 1)*(5*i - 2)
Factor -69/8*v - 3/8*v**3 + 0 - 9*v**2.
-3*v*(v + 1)*(v + 23)/8
Let m(q) be the third derivative of 3*q**5/70 - 361*q**4/84 + 352*q**3/21 + 3*q**2 - q - 772. Find l such that m(l) = 0.
1, 352/9
Factor -3*x**3 - 215/3*x**2 - 382/3*x - 176/3.
-(x + 1)*(x + 22)*(9*x + 8)/3
Let l(u) = -u**2 + 11*u. Let q be l(11). Suppose -2*k + 14 = 2*p, q*k + 1 = 3*k - 2*p. Let -104*g**k - 5*g**2 - 3*g + 109*g**3 + 2*g + g**2 = 0. Calculate g.
-1/5, 0, 1
Suppose 4*r = 2*p + 316, r + 2*r - 237 = -4*p. Let r*d**2 + d - 150*d**2 + 8 + 70*d**2 - 3*d = 0. What is d?
-4, 2
Let u be -3 - (-2)/(-3)*(-87)/58. Let s be ((-324)/135)/((-3)/(-8)*u). Determine c, given that -16/5*c + 16/5*c**3 + s - 12/5*c**2 - 4/5*c**4 = 0.
-1, 1, 2
Let u(n) be the third derivative of -n**5/270 - 79*n**4/108 + 890*n**3/27 + 5903*n**2. Factor u(v).
-2*(v - 10)*(v + 89)/9
Suppose -207*g + 30*g - 14 = -14. What is q in g*q + 4/9*q**3 + 0*q**2 - 4/9*q**4 + 0 + 1/9*q**5 = 0?
0, 2
Let x = -525 - -686. Factor -x*o**2 + 1140 - 4*o**3 - 2112*o - 27*o**2 + 1164.
-4*(o - 1)*(o + 24)**2
Let z = 62238 + -62235. Factor 13/2*f**2 + 0 - 6*f - 1/2*f**z.
-f*(f - 12)*(f - 1)/2
Suppose -289*q - 3*q**3 + q**3 + 54*q**2 + 680 + 745*q = 0. What is q?
-5, -2, 34
Let j = 1928 + -1926. Let x(i) be the second derivative of 2/9*i**4 + 0*i**j - 15*i - 5/252*i**7 + 0 + 1/8*i**5 + 1/9*i**3 - 1/90*i**6. Solve x(f) = 0 for f.
-1, -2/5, 0, 2
Let d = -478 - -478. Factor 4 + 4*f**3 - 4 + 3*f + 15 + 3 + d - 25*f**2.
(f - 6)*(f - 1)*(4*f + 3)
Let u(t) = -4*t**4 + 17*t**3 + 45*t**2 - 8*t - 62. Let l(p) = -6*p**4 + 16*p**3 + 46*p**2 - 8*p - 64. Let j(i) = -3*l(i