or -5/2*r**2 - u*r - 845/2.
-5*(r + 13)**2/2
Let d(v) be the third derivative of 4*v**7/105 - 487*v**6/20 - 4043*v**5/30 - 307*v**4/2 + 736*v**3/3 - 7*v**2 - 140. Find g, given that d(g) = 0.
-2, -1, 1/4, 368
Let h = -7845 + 7848. What is r in 38/3*r**2 - 38/3 - 2/3*r + 2/3*r**h = 0?
-19, -1, 1
Let b(w) be the third derivative of -7/4*w**4 + 0*w - 14/15*w**5 + 10/3*w**3 + 0 + 1/20*w**6 - 113*w**2. Suppose b(q) = 0. Calculate q.
-1, 1/3, 10
Let y(q) be the third derivative of 2*q**7/735 + 47*q**6/210 + 146*q**5/35 - 1174*q**4/21 + 5104*q**3/21 + 7634*q**2. Determine k, given that y(k) = 0.
-29, -22, 2
Let n(u) = 2*u**3 - 26*u**2 + 36*u - 80. Let w(r) = -3*r + 5. Let z(i) = -2*n(i) - 68*w(i). Factor z(m).
-4*(m - 15)*(m - 1)*(m + 3)
Let d(u) be the second derivative of -2*u**7/21 + 154*u**6/15 - 254*u**5 - 8482*u**4/3 + 2542*u**3/3 + 16810*u**2 - u - 1651. Determine v so that d(v) = 0.
-5, -1, 1, 41
Let a be (-9108)/(-462) - 108/(9 + -3). Find h, given that -2/7*h**3 - 12/7*h**2 + 2/7*h + a = 0.
-6, -1, 1
Let d be (0 - -1)*(2 + 19 + 0). Factor -27*c + d*c - 20*c**2 - 7*c**2.
-3*c*(9*c + 2)
Let j = 23/258 + 193/86. Factor -1 + j*u**2 + 4/3*u.
(u + 1)*(7*u - 3)/3
Let n(j) be the second derivative of -35*j - 10*j**3 + 0*j**2 + 0 + 5/12*j**4. Find u, given that n(u) = 0.
0, 12
Suppose -f**3 - 180 - 4 - 7*f - 127*f + 0*f**3 + 49*f**2 = 0. Calculate f.
-1, 4, 46
Let x(w) be the first derivative of 7*w**4/4 - w**2/2 + 2*w - 11. Let z be x(1). Find f such that -6*f + 4*f**2 - z + 10*f - 8*f = 0.
-1, 2
Find j, given that 1/4*j**5 + 53125/4*j - 78125/4 + 725/2*j**3 - 6625/2*j**2 - 65/4*j**4 = 0.
5, 25
What is c in 29*c**3 - 248*c + 480 + c**4 + 208*c**3 - 6*c**4 + 11*c**3 - 476*c**2 + c**4 = 0?
-1, 1, 2, 60
Let q(y) be the third derivative of 1/40*y**6 - 1/4*y**5 - 3/2*y**3 + 0 - 29*y**2 + 0*y + 7/8*y**4. Factor q(t).
3*(t - 3)*(t - 1)**2
Let n(c) = -3*c**3 + 39*c**2 + 87*c + 45. Let h = -206 + 209. Let m(f) = -f**3 + 13*f**2 + 29*f + 15. Let v(q) = h*n(q) - 8*m(q). Solve v(g) = 0 for g.
-1, 15
Let f(p) be the second derivative of -p**7/42 - p**6/144 + 3*p**4/4 - p - 2. Let a(t) be the third derivative of f(t). Factor a(d).
-5*d*(12*d + 1)
Let m(v) be the third derivative of -3*v**2 + 0*v - 11/240*v**5 + 25/96*v**4 - 13/24*v**3 - 19 - 1/480*v**6. Factor m(j).
-(j - 1)**2*(j + 13)/4
Let o(m) be the first derivative of 0*m**2 + 0*m - 4/3*m**3 - 1/20*m**5 - 19 - 1/2*m**4. Factor o(a).
-a**2*(a + 4)**2/4
Let g be (2 - 1)/(-13 - (-1137)/86). Let f = 334/57 - g. Factor 0 - 4*s - 4/3*s**4 + 4*s**3 + f*s**2.
-4*s*(s - 3)*(s - 1)*(s + 1)/3
Let f(j) be the second derivative of j**5/6 - 29*j**4/36 - 41*j**3/18 - 2*j**2 - 1227*j. Solve f(u) = 0 for u.
-3/5, -1/2, 4
Suppose -2*r = 4*n + 2, 5*r - 9*r + 18 = -3*n. Find l such that -21*l**2 + 26*l**2 + 3 - r + 15*l + 10 = 0.
-2, -1
Let c = 2501/2418 + -95/93. Let j(i) be the third derivative of 0*i + 0 + 0*i**3 - 7/130*i**5 + c*i**4 - 41*i**2 + 1/15*i**6. Factor j(x).
2*x*(4*x - 1)*(13*x - 2)/13
Let i(w) = -7*w**2 - 13*w - 4. Let g(u) be the third derivative of u**5/60 + u**3/2 - 26*u**2 + 3. Let f(z) = -6*g(z) - i(z). Solve f(a) = 0 for a.
-14, 1
Let w = -3514 - -52711/15. Let n(r) be the first derivative of 13 + w*r**6 + 0*r**2 - 16/75*r**5 - 4/45*r**3 + 0*r + 7/30*r**4. Factor n(b).
2*b**2*(b - 1)**2*(3*b - 2)/15
Solve -2 + 34728*j - 2*j**2 - 34732*j + 2*j**2 - 2*j**2 = 0 for j.
-1
Let h be 118/10 - (-3)/15. Suppose 5*s - 32*d - 45 = -27*d, 12 = -2*s - 4*d. Factor -s*g**3 + h*g**2 - 12*g + 70 - 27 - 39.
-4*(g - 1)**3
Let m = -2/2741629 + 10966530/19191403. Find n such that m*n**2 - 4/7*n**3 + 32/7 + 40/7*n = 0.
-2, -1, 4
Let o = 5114 - 5114. Solve 0 + 3/2*f**3 + o*f - 3*f**2 = 0.
0, 2
Let t(v) be the third derivative of v**5/390 - 59*v**4/78 - v**2 + 468. Factor t(y).
2*y*(y - 118)/13
Let q(d) be the first derivative of 12 + 24/5*d**2 + 0*d - 4/15*d**3. Find v such that q(v) = 0.
0, 12
Let m(o) = o**2 + o + 1. Let c(s) = s**2 - 9*s + 7. Let d = -448 - -446. Let q(g) = d*m(g) - 2*c(g). Solve q(b) = 0.
2
Suppose -3*t = -4*k - 7, 25*k = 30*k + t - 15. Solve 0*f**2 + 11*f - 3*f**k + 9*f**2 + 33*f**3 - 14*f - 36*f**3 = 0.
0, 1
Suppose 0 = 5*d - 23 - 52. Let w(a) = -51*a + 632. Let t be w(12). Factor t*q**2 - 32*q**2 - 9*q**3 + d*q + 4 + 2.
-3*(q - 1)*(q + 2)*(3*q + 1)
Let m be (-546)/260*25/(-14). Factor 225/8 + 1/8*g**2 - m*g.
(g - 15)**2/8
Let p(f) be the third derivative of f**6/180 - 331*f**5/30 + 109561*f**4/12 - 36264691*f**3/9 + 726*f**2. Factor p(o).
2*(o - 331)**3/3
Let a(g) = -2*g**2 - 104*g - 320. Let m(v) = -2*v**2 - v + 2. Let c(s) = a(s) - 2*m(s). What is q in c(q) = 0?
-3, 54
Solve -2/5*w**3 + 522/5 + 46/5*w**2 + 66*w = 0.
-3, 29
Let v(p) be the first derivative of p**3/3 - 11*p**2/2 + 30*p + 22. Let y be v(7). Let 21 + 9*r**y - 34*r + 61*r + 39*r = 0. What is r?
-7, -1/3
Suppose 52 + 210*c**2 - 14/5*c**4 - 1202/5*c - 94/5*c**3 = 0. Calculate c.
-13, 2/7, 1, 5
Let d be ((-4)/(-12))/((-2)/(-12)). Let o = 159 - 105. Solve 4*c - 7*c**2 + 58*c**4 - 6*c**3 + 0*c**d - o*c**4 + c**2 = 0.
-1, 0, 1/2, 2
Let s be 30 + (-261)/9 - (0 - 3). Let -2/3*d**s + 2/3*d - 2*d**3 + 0 + 4/3*d**5 + 2/3*d**2 = 0. Calculate d.
-1, -1/2, 0, 1
Suppose -1/12*g**2 + 3671/6*g - 13476241/12 = 0. What is g?
3671
Factor 3/2*r**5 + 3*r**2 + 15/2 - 21/2*r**4 - 33/2*r + 15*r**3.
3*(r - 5)*(r - 1)**3*(r + 1)/2
Let l(i) be the second derivative of -i**4/8 + 25*i**3/2 - 903*i**2/4 - 1171*i. Find b such that l(b) = 0.
7, 43
Let h(q) be the first derivative of 160*q**2 + 575/3*q**3 - 20*q - 210*q**5 - 815/4*q**4 + 149. Solve h(k) = 0.
-1, -1/2, 2/35, 2/3
What is o in -2/5*o**3 + 1020164798/5 - 3830406/5*o + 4794/5*o**2 = 0?
799
Factor 14161/2 - 59*w**2 - 1/4*w**3 - 13685/4*w.
-(w - 2)*(w + 119)**2/4
Let s(x) be the third derivative of x**8/1344 + 3*x**7/140 + 31*x**6/480 - 3*x**5/40 - x**4/3 + 1019*x**2. Find g, given that s(g) = 0.
-16, -2, -1, 0, 1
Let h(j) = -3*j**4 - 3*j**3 - 33*j**2 - 18*j + 5. Let k(w) = -4*w**4 - 5*w**3 - 50*w**2 - 28*w + 7. Let q(n) = -7*h(n) + 5*k(n). Factor q(g).
g*(g - 7)*(g + 1)*(g + 2)
Suppose -8 = -4*o, 3*c + 16 = 7*c + 4*o. Let s(y) = 8*y**2 - 13*y - 2. Let r be s(c). Let -2/3*j**3 - 16/9 - 1/9*j**r + 8/3*j - 1/9*j**2 = 0. Calculate j.
-4, 1
Factor -3/7*k**2 + 4800/7*k - 4797/7.
-3*(k - 1599)*(k - 1)/7
Let k(h) be the first derivative of -2*h**6 + 6*h**4 + 0*h + 32/3*h**3 - 6*h**2 + 174 - 32/5*h**5. Determine l so that k(l) = 0.
-3, -1, 0, 1/3, 1
Factor -3810*f + 1670*f**2 - 4915 + 1100 - 1665*f**2.
5*(f - 763)*(f + 1)
Let l(u) be the second derivative of u**4/3 + 94*u**3/3 + 420*u**2 + 1042*u. Factor l(y).
4*(y + 5)*(y + 42)
Let d = 42 - 19. Let b = d - 8. What is k in 16*k**3 + 0*k - b*k**5 - k - 3*k + 3*k**5 - 8*k**2 + 8*k**4 = 0?
-1, -1/3, 0, 1
Let v(x) be the second derivative of -x**6/5 - 27*x**5/20 + 35*x**4/2 + 117*x**3/2 + 60*x**2 - 7*x - 22. Find g such that v(g) = 0.
-8, -1, -1/2, 5
Let b(n) be the first derivative of 4*n**3/3 + 591*n**2 + 590*n + 436. Factor b(r).
2*(r + 295)*(2*r + 1)
Let t(q) = 14*q + 287. Let m be t(-29). Let z be (192/42)/(-8) + (-138)/m. What is d in 12/17 + z*d**2 + 2*d = 0?
-3, -2/5
Let w(j) = -2*j**5 + 48*j**4 + 262*j**3 + 292*j**2 + 8*j - 8. Let b(x) = x**5 - 15*x**4 - 87*x**3 - 97*x**2 - 3*x + 3. Let p(z) = 8*b(z) + 3*w(z). Factor p(y).
2*y**2*(y + 2)*(y + 5)**2
Suppose 4*x - 1085 = 675. Factor x*k**3 - 1 - 4*k**4 - 448*k**3 + 1.
-4*k**3*(k + 2)
What is a in -10*a**3 + 2*a**5 + 40*a**4 + 150532 - 150616 - 116*a**2 - 38*a**3 + 206*a = 0?
-21, -2, 1
Let d(r) be the third derivative of r**7/490 - 159*r**6/140 - 32*r**5/7 + 9*r**2 - 4. Determine f so that d(f) = 0.
-2, 0, 320
Let p(w) be the second derivative of -w**4/102 + 46*w**3/51 + 96*w**2/17 + 156*w. Factor p(q).
-2*(q - 48)*(q + 2)/17
Solve -11/2*m**3 + 6*m + 0 - 7/2*m**2 + 7/2*m**4 - 1/2*m**5 = 0.
-1, 0, 1, 3, 4
Suppose -95 = -14*r + 31. Suppose r = 11*u - 13. Suppose -1/3*s - 1/6*s**u + 1/2 = 0. What is s?
-3, 1
Let n(x) be the second derivative of -x**4/14 - 18*x**3/7 - 243*x**2/7 + 845*x. Suppose n(u) = 0. What is u?
-9
Let d(o) = 20*o**4 - 40*o**3 - 398*o**2 - 551*o - 249. Let s(l) = 5*l**4 - 10*l**3 - 99*l**2 - 138*l - 62. Let t(w) = -2*d(w) + 9*s(w). Factor t(f).
5*(f - 6)*(f + 1)**2*(f + 2)
Let q(r) be the second 