 + w**3/7 + 4083*w**2. Solve z(u) = 0 for u.
-1, 3
Let j(f) = f**2 - 22*f - 12. Let k be j(23). Suppose -z = -k + 9. Factor 5*s**2 + 3*s**2 - z*s + 3*s**2 - 13*s**2.
-2*s*(s + 1)
Suppose 3*o - 324 = -315. Let h(f) be the second derivative of 0*f**2 + 0 + 1/6*f**o + 1/12*f**4 + 12*f. Factor h(a).
a*(a + 1)
Let t = 5231/1355 - -92/271. Solve -3/5*b + t*b**2 - 18/5 = 0 for b.
-6/7, 1
Suppose 20 = h + 3*h. Suppose 0 = h*c + k + 4*k - 45, -3*c + 5*k + 19 = 0. Find a such that -51 + 55 - 9*a**2 - c*a - 8*a = 0.
-2, 2/9
Let p(n) be the second derivative of -n**5/15 - 35*n**4/3 - 2450*n**3/3 + 129*n**2/2 - 22*n + 3. Let l(a) be the first derivative of p(a). Solve l(u) = 0.
-35
Let p(g) = g**3 - 19*g**2 + 10*g + 2. Let x(o) = -84 - 86 + 165 - 2*o**3 + 40*o**2 - 18*o. Let i(u) = -5*p(u) - 2*x(u). Factor i(a).
-a*(a - 14)*(a - 1)
Find h, given that 15*h**3 + 488*h - 17*h**3 + 1908*h**2 + 272*h + 22*h**3 = 0.
-95, -2/5, 0
Factor 5/3*o**3 + 125/3*o - 50/3*o**2 + 0.
5*o*(o - 5)**2/3
Let s(c) be the third derivative of 0*c - 3 - 1/280*c**6 + 3/140*c**5 - 1/490*c**7 - 1/7*c**3 + 1/56*c**4 + 2*c**2. Find d, given that s(d) = 0.
-2, -1, 1
Let j(q) be the third derivative of q**6/75 + 3*q**5/50 - q**4/2 + 17*q**3/15 + 1936*q**2. Factor j(g).
2*(g - 1)**2*(4*g + 17)/5
Let t = 2466891/5 - 493377. Find n, given that 56/5*n - 16/5*n**3 + 24/5 - t*n**4 + 22/5*n**2 = 0.
-3, -1, -2/3, 2
Suppose -460*g = -457*g. Let k(d) be the second derivative of 3/10*d**6 - 15*d - 3/2*d**2 + 3/2*d**4 + 0 - 6/5*d**5 + g*d**3. Suppose k(x) = 0. What is x?
-1/3, 1
Let a(n) be the first derivative of n**4/4 - 50*n**3 + 148*n**2 + 7582. Solve a(p) = 0 for p.
0, 2, 148
Let y(c) = c**2 - 3*c - 7. Let u(m) = -28*m**2 + 21824*m - 7098. Let n(f) = -2*u(f) - 44*y(f). Find j such that n(j) = 0.
1/3, 3626
Let o(k) be the first derivative of -k**4/4 - 187*k**3/3 + 94*k**2 + 5848. Factor o(j).
-j*(j - 1)*(j + 188)
Suppose 52*o + 0*o = 156. Let u(g) be the third derivative of 1/36*g**5 - 1/9*g**4 - 1/360*g**6 + 0 + 0*g - 6*g**2 + 2/9*g**o. Factor u(n).
-(n - 2)**2*(n - 1)/3
Solve 22/3*j**4 + 163/3*j**3 + 0*j + 140/3*j**2 + 0 - 1/3*j**5 = 0 for j.
-5, -1, 0, 28
Let q be ((48/156)/1)/(162/351). Factor -2/3*y - q*y**2 + 40/3.
-2*(y - 4)*(y + 5)/3
Let x(v) = -11*v**2 - v - 3. Let c(q) = 26*q**2 + 218*q - 1702. Let m(k) = c(k) + 2*x(k). Factor m(i).
4*(i - 7)*(i + 61)
Let c = -85 - -85. Suppose c = -4*f + 8*l - 9*l + 12, l = -3*f + 10. Factor 0 - 3/7*g**3 - 6/7*g**f - 3/7*g.
-3*g*(g + 1)**2/7
Let r = 3799/2586 + 40/1293. Suppose -v**2 - 23/4*v + r = 0. Calculate v.
-6, 1/4
Let p(d) be the second derivative of 0*d**3 + 3 + 1/210*d**6 + 0*d**2 + 2/21*d**4 + 4*d - 1/294*d**7 + 1/14*d**5. Let p(y) = 0. What is y?
-2, -1, 0, 4
Let g(p) = 3*p**3 + 62*p**2 - 23*p + 21. Let q be g(-21). Let x be -5 + 1 + 7/(q/54). Determine o so that 0*o + 0 - 2/5*o**3 - 4/5*o**x = 0.
-2, 0
Let v(r) be the first derivative of 75*r**5 - 4025*r**4/4 + 11440*r**3/3 - 1690*r**2 - 382. Let v(g) = 0. What is g?
0, 1/3, 26/5
Let p = 66606 - 333029/5. Factor 11/5*y**2 - p*y**3 - 32/5*y + 28/5.
-(y - 7)*(y - 2)**2/5
Let x(t) be the third derivative of 46*t + 1/36*t**4 + 1/630*t**7 + 0*t**6 + 2*t**2 - 1/60*t**5 + 0 + 0*t**3. Factor x(a).
a*(a - 1)**2*(a + 2)/3
Determine d so that 25571*d + 576*d**2 - d**3 - 26735*d + 584 + 5*d**3 = 0.
-146, 1
Factor -p**3 - 10164 - 3218146*p - 3*p**3 + 4*p**2 + 3219510*p.
-4*(p - 11)**2*(p + 21)
Let v = -5 - -3. Let c be (-10 - -14)*v/(-1 - 1). Suppose -w**3 - w**4 + c*w - 3*w + 22*w**2 - 21*w**2 = 0. Calculate w.
-1, 0, 1
Let b(y) be the first derivative of 3/2*y**2 + 86 - 18*y + 4/3*y**3 - 1/4*y**4. Let b(k) = 0. Calculate k.
-2, 3
Suppose 8*j - 45 + 5 = 0. Suppose j*o - 14 = 2*i, 3*o - o + i = 11. Determine q so that 0*q + 0 + 1/4*q**2 + 1/2*q**o - 3/4*q**3 = 0.
0, 1/2, 1
Let y be (-900)/60 - 729/(-36). Let w(p) be the first derivative of -33 + 38*p**3 - 27/5*p**5 - 24*p + 42*p**2 - y*p**4. Suppose w(c) = 0. What is c?
-2, -1, 2/9, 2
Suppose 35*c = 7*c + 10*c. Let a(o) be the first derivative of 1/5*o**4 + 8/5*o**3 + 0*o**2 + c*o - 4/25*o**5 - 5. Suppose a(n) = 0. Calculate n.
-2, 0, 3
Let r(a) be the second derivative of a**4/8 - 80*a**3 + 19200*a**2 - 2*a + 1198. Factor r(c).
3*(c - 160)**2/2
Let l(x) be the third derivative of -x**6/360 + 2*x**5/45 - 7*x**4/24 + x**3 - 1063*x**2. Solve l(k) = 0.
2, 3
Let i(o) be the first derivative of 2*o**5/5 + 5*o**4 - 16*o**3 - 234*o**2 + 1134*o + 6900. Factor i(y).
2*(y - 3)**2*(y + 7)*(y + 9)
Let s(d) be the second derivative of 0 + 8/3*d**3 - 10*d**2 + 1/3*d**4 - 98*d. Factor s(v).
4*(v - 1)*(v + 5)
Let l(u) = 8*u + 6 - 6 - u**2 - 7*u + 2. Let y be l(0). Factor 4*a**y + a - 5*a**5 + 4*a**5 - 4*a**3 - 2 - 2*a**4 + 2*a**5 + 2*a**3.
(a - 2)*(a - 1)**2*(a + 1)**2
Let a(i) be the second derivative of -i**6/10 - 249*i**5/10 - 123*i**4 - 245*i**3 - 489*i**2/2 - 1155*i. Solve a(n) = 0.
-163, -1
Suppose 207 = -4*b - 61*b + 337. Suppose -2*r**b + 1/2*r**4 - r + r**3 + 3/2 = 0. What is r?
-3, -1, 1
Factor 45*a + 84*a - 3*a**2 - 474*a - 1332.
-3*(a + 4)*(a + 111)
What is a in -37855565*a**4 - 2*a**5 - 10*a**2 - 550*a**3 + 37855850*a**4 + 555*a - 3*a**5 - 275 = 0?
-1, 1, 55
Suppose -1396*b - 3936*b = -1010*b - 12966. Solve -55/2*j**2 - 70 - 80*j - 5/2*j**b = 0 for j.
-7, -2
Suppose 54 - 147 = -86*s + 79. Factor -6/5 + g - 1/5*g**4 - g**3 + 7/5*g**s.
-(g - 1)**2*(g + 1)*(g + 6)/5
Find b such that -15/2*b**5 + 35/2*b**4 - 25*b + 0 - 35/2*b**2 + 65/2*b**3 = 0.
-1, 0, 1, 10/3
Factor -1/3*b**2 + 80/3*b - 1600/3.
-(b - 40)**2/3
Let u be ((-88)/(-88))/(3 - 0). Let l(g) be the second derivative of -25*g + 0 + 1/18*g**3 + 1/36*g**4 - u*g**2. Factor l(a).
(a - 1)*(a + 2)/3
Let z = -140 - -143. Factor -3*y**2 - 64*y**3 + z*y**4 + 64*y**3.
3*y**2*(y - 1)*(y + 1)
Let r(n) = n + 60. Let z be r(14). Suppose -l + 2 = -0*l. Factor -3*j**3 - z*j - 6 - 12*j**l + 23*j + 36*j.
-3*(j + 1)**2*(j + 2)
Let p = 20710 - 20708. Factor -3/5*u + 0*u**p + 3/5*u**3 + 0.
3*u*(u - 1)*(u + 1)/5
Let v = -651092 + 651095. Factor 0 + 10/9*l + 7/9*l**2 + 1/9*l**v.
l*(l + 2)*(l + 5)/9
Let q(v) be the third derivative of v**6/300 + 34*v**5/75 + 2*v**2 + 486. Let q(d) = 0. Calculate d.
-68, 0
Let w(k) be the first derivative of k**4/4 - 5*k**3/9 + k**2/6 - 17*k - 4. Let m(p) be the first derivative of w(p). Factor m(g).
(g - 1)*(9*g - 1)/3
Let d(b) be the first derivative of 30/7*b - 12/7*b**2 - 59 + 6/35*b**5 + 6/7*b**4 - 12/7*b**3. Solve d(i) = 0 for i.
-5, -1, 1
Let w = 597878/423521 + 2/24913. Suppose -w*f + 2/17*f**2 + 72/17 = 0. Calculate f.
6
Let m(a) = -131*a**2 + 143*a - 29. Let x = 41 + -35. Let r(t) = -9*t + x*t**2 - 15*t + 5 - 4*t**2 + 20*t**2. Let y(o) = -6*m(o) - 34*r(o). Factor y(s).
2*(s - 1)*(19*s - 2)
Suppose 5*d - 5*y = -6*y + 34, 0 = 5*d - 4*y - 39. Let s be (-1)/(-2) + 25/70*d. Factor -2/5*l**s + 0 - 2/5*l**2 + 0*l.
-2*l**2*(l + 1)/5
Let y = 80 - 76. Suppose y*o - 8 = -0*o. Factor -6*a**2 - 6 - 6*a**3 + 0 - 12*a**2 - 3*a**o - 21*a.
-3*(a + 1)*(a + 2)*(2*a + 1)
Suppose 0 = 12*c + 6*c - 162. Suppose 326*b**3 - 325*b**3 + 0 - 13 + 22*b**2 + 0*b - b - c = 0. Calculate b.
-22, -1, 1
Let d = 1440 + -613. Let w = -825 + d. Factor -1/3*p**4 + 0 + 0*p**w - 1/3*p**5 + 2/3*p**3 + 0*p.
-p**3*(p - 1)*(p + 2)/3
Let z be (20/(-18))/((-86)/129) + 1/3. What is q in 2/7*q**5 + 4/7*q**4 + 2/7*q - 4/7*q**3 - 8/7*q**z + 4/7 = 0?
-2, -1, 1
Let q(p) be the first derivative of -p**6/15 + 28*p**5/25 + 9*p**4/5 - 808*p**3/15 - 17*p**2/5 + 156*p - 12278. Solve q(x) = 0 for x.
-5, -1, 1, 6, 13
Let l(k) be the first derivative of -5*k**3/3 - 405*k**2/2 - 196. Factor l(c).
-5*c*(c + 81)
Let d(g) be the third derivative of -g**6/24 - 13*g**5/6 + 1955*g**4/24 + 26450*g**3/3 - 2*g**2 + 775*g - 1. Let d(r) = 0. What is r?
-23, 20
Let b = 43710 - 305938/7. Factor b*c - 20/7*c**2 + 48/7 - 4/7*c**3.
-4*(c - 2)*(c + 1)*(c + 6)/7
Let t(i) be the first derivative of -i**6/840 - 13*i**5/420 - 5*i**4/24 + 7*i**3/6 + 15*i**2 - 2*i + 11. Let y(a) be the second derivative of t(a). Factor y(p).
-(p - 1)*(p + 7)**2/7
Factor 25/2*b - 1/4*b**2 + 159/4.
-(b - 53)*(b + 3)/4
Let p(z) be the third derivative of 0*z**3 + 0*z**5 + 0*z - 1/80*z**6 + 0*z**4 - 17*z**2 + 0. Factor p(x).
-3*x**3/2
Let d(t) be the third derivative of -16*t**7/315 