t n(o) = 0.
3, 17
Let o(s) be the third derivative of -s**6/30 - 563*s**5/15 - 13160*s**4 + 53016*s**3 + 3193*s**2. Factor o(l).
-4*(l - 1)*(l + 282)**2
Determine i so that -1/9*i**3 + 4 - 16/9*i - 19/9*i**2 = 0.
-18, -2, 1
Factor -3*z**3 + z**5 - 16*z**2 - 36*z + 14*z**4 - 28*z**2 - 1865 + 8*z + 1865.
z*(z - 2)*(z + 1)**2*(z + 14)
Suppose -3*m + 2*n + 417 = 0, m + 11*n - 125 = 7*n. Suppose -127 + m = 5*p. Factor x**p + 1/4*x**3 + 0 + x.
x*(x + 2)**2/4
Let j(b) be the first derivative of 65/6*b**3 - 9/2*b + 75/8*b**4 - 3/4*b**2 + 43. Solve j(z) = 0 for z.
-3/5, 1/3
Let w(t) = -6 - 4 + 16*t - 3*t**2 + 9*t**2. Let m(b) = b**2 + b + 1. Suppose 736*u - 11 = 725*u. Let k(c) = u*w(c) - 4*m(c). Let k(h) = 0. Calculate h.
-7, 1
Let t(b) be the second derivative of b**6/6 + b**5/4 - 5*b**4/4 - 5*b**3/6 + 5*b**2 - 2*b + 550. Factor t(f).
5*(f - 1)**2*(f + 1)*(f + 2)
Let l be -55 + 125/(8375/3886). Let 11/4 + 9/4*w**2 + 1/4*w**l - 21/4*w = 0. What is w?
-11, 1
Let k(v) = v**3 + 9*v**2 + 19*v + 39. Let z be k(-7). Factor -8*p**3 - p**4 - 20*p + 4*p**3 - 20 + 15*p**2 - 4*p**z + 14*p**3 + 0*p**4.
-5*(p - 2)**2*(p + 1)**2
Let b(v) = -v**2 + 2*v. Let q be b(2). Let i = -183509 + 183512. Let 3/2*u**2 - 3/2*u**i + q*u + 0 = 0. Calculate u.
0, 1
Let q(j) = -2*j + 32. Let b be q(14). Let n be (3 - 5)*(b - 5). Solve 2*p - 2*p**4 - 288 + 2*p**2 + 288 - n*p**3 = 0 for p.
-1, 0, 1
Let y be (-1)/(-2)*6*110/30. Suppose -y*q - 21 + 76 = 0. Factor 2*c**4 + 5*c**5 + 2*c**4 + 12*c**3 - 4*c**2 - c**q - 16*c**4.
4*c**2*(c - 1)**3
Let v(c) be the first derivative of 7*c**3/3 + 9*c**2/2 + 2*c - 389. Let v(i) = 0. What is i?
-1, -2/7
Let b(q) be the third derivative of q**5/150 - 451*q**4/60 + 30*q**3 + q**2 - 730*q. What is a in b(a) = 0?
1, 450
Suppose -81 = -14*n - 25. Let v(l) = -8*l**3 + 25*l**2 - 7*l - 28. Let s(d) = 9*d**3 - 25*d**2 + 6*d + 24. Let h(b) = n*v(b) + 3*s(b). Factor h(i).
-5*(i - 4)*(i - 2)*(i + 1)
Let z(m) be the first derivative of 3*m**5/5 - 27*m**4/4 + 3*m**3 + 111*m**2/2 + 72*m - 2944. Let z(x) = 0. Calculate x.
-1, 3, 8
Let h be (440/330)/((116/8 - -3)*12/1215). What is y in -58/7*y - 4/7 - h*y**2 = 0?
-1, -2/27
Let i(w) be the first derivative of -4*w + 25/2*w**2 + 13/6*w**3 - 108. Determine a so that i(a) = 0.
-4, 2/13
Solve 2/5*y**2 + 1896/5*y + 449352/5 = 0.
-474
Let y = 42421 + -42419. Let x(k) be the third derivative of 46*k**y + 1/12*k**5 + 5/12*k**4 + 0*k + 0*k**3 + 0. Factor x(v).
5*v*(v + 2)
Suppose -4 = -d - v, 11*d - 6*d = 5*v. Suppose d*p = 3*w + 57, -p - 85 = -4*p + 4*w. Factor 10*u + 12 + 14*u + 36*u + p*u**2 + 0*u.
3*(u + 2)*(9*u + 2)
Let n(j) be the first derivative of 34/3*j + 2/9*j**3 - 129 - 6*j**2. Suppose n(k) = 0. What is k?
1, 17
Let v = -24018/11 - -360292/165. Factor v*s**2 - 2/15*s**3 + 2/3*s + 2/5.
-2*(s - 3)*(s + 1)**2/15
Let o = 63825/19 + -3359. Let x(s) be the first derivative of 5 + 40/57*s**3 - 32/95*s**5 - 5/57*s**6 + o*s**2 - 3/38*s**4 + 0*s. Let x(p) = 0. Calculate p.
-2, -1/5, 0, 1
Suppose -47*m = 9103 + 1284. Let i be -6 + m/143*(-4)/1. Determine g so that 0 + i*g**4 - 2/11*g**2 + 2/11*g**3 - 2/11*g = 0.
-1, 0, 1
Let c(z) be the first derivative of 0*z + 5/2*z**4 - 5*z**2 - z**5 + 5/3*z**3 - 21. What is k in c(k) = 0?
-1, 0, 1, 2
Factor -77/2*a**2 + 71/2*a**3 - 363/2*a - 108 + 1/2*a**4.
(a - 3)*(a + 1)**2*(a + 72)/2
Let v(y) = 3*y**2 - 8*y + 3. Suppose -5*k = 1 - 6. Suppose 222 = 6*l + 228. Let m(g) = -g**2 - 1. Let o(f) = k*m(f) + l*v(f). Factor o(t).
-4*(t - 1)**2
Let o = -48/87185 - -43017917/64865640. Let f = o + 1/248. Factor -8/9*y - 2/9*y**2 - f.
-2*(y + 1)*(y + 3)/9
Solve 21*s**5 + 972*s**3 + 41*s**2 + 83*s**2 + 468*s**4 + 68*s**2 + 48*s**2 = 0 for s.
-20, -2, -2/7, 0
Factor -1014*j - 6*j**2 + 236*j + 4*j**2 - 266*j.
-2*j*(j + 522)
Let q(x) = -x**2 + 13*x + 20. Let h be q(14). Let n(i) = 32*i - 35*i - 2*i**2 - 2*i**2 - 1 + 4*i. Let d(g) = g**2 - g. Let b(k) = h*d(k) + 2*n(k). Factor b(r).
-2*(r + 1)**2
Suppose -5*c - 246 = -11*c. Let f = c + -38. Let 2*s**5 + 3*s**5 - 51*s**3 + 36*s**f + 10*s**2 = 0. Calculate s.
-2, 0, 1
Suppose 0 = 3*r + 66 - 72. Let j be 10/8*24/20*r. Solve -7/3 - 1/3*v**j - 5/3*v**2 + 13/3*v = 0 for v.
-7, 1
Let j(a) = 210*a**2 - 285*a - 297. Let k(y) = 93*y**2 - 142*y - 147. Let l(i) = 4*j(i) - 9*k(i). Factor l(s).
3*(s + 1)*(s + 45)
Factor 8/3*j - 10/9*j**3 - 2/9*j**4 + 16/9*j**2 + 0.
-2*j*(j - 2)*(j + 1)*(j + 6)/9
Let l be (-3*72/(-54))/21. Let a(j) be the third derivative of 0*j + 0 + 2/7*j**4 + 3/140*j**6 - 29/210*j**5 - l*j**3 + 22*j**2. Factor a(f).
2*(f - 2)*(f - 1)*(9*f - 2)/7
Suppose -3*x + 44 = b, 4*b = -0*b - 2*x + 196. Let q = -47 + b. Suppose 2*v**2 - q*v - 3*v + 8 - 2*v = 0. Calculate v.
2
Let q = 510980/3 - 170316. Solve 16*t**3 - 32/3*t**4 + 0*t**2 + 0 + 2*t**5 - q*t = 0 for t.
-2/3, 0, 2
Let t(x) = -7*x + 16. Let l be t(10). Let k = 58 + l. Factor 8*d**2 - d**3 + 0*d**5 - 8*d**4 + k*d**5 - 3*d**3.
4*d**2*(d - 2)*(d - 1)*(d + 1)
Let q be ((-70)/(-630))/((-8)/(-54)) + 3. Solve -5/2*t**2 - 15/4*t**5 + 0*t + 10*t**4 - q*t**3 + 0 = 0 for t.
-1/3, 0, 1, 2
Let y = -4 - -24. Suppose -6*a = -2*a + y, k + 13 = -3*a. Factor -2 + 3*t**k + 14 + 36*t - 24*t**2.
-3*(t - 2)*(7*t + 2)
Let t be 22088/(-6777)*(-1518)/121. What is o in -4/3*o**4 + 176/9 + 76/9*o**2 - t*o + 128/9*o**3 = 0?
-2, 2/3, 1, 11
Let c(r) = 6 - 3*r - 14 - r**2 - 5 - 7*r. Let s be c(-7). Solve -16 + 16 + 4*j**5 - s*j + 4*j**3 - 12*j**2 + 12*j**4 = 0 for j.
-2, -1, 0, 1
Let a be ((-3)/45)/((-150)/125). Let r(s) be the second derivative of 0 - a*s**4 + 22*s + 4/3*s**2 + 1/3*s**3. Factor r(p).
-2*(p - 4)*(p + 1)/3
Factor 54*w**2 - 14*w**2 - 12 + 197*w**2 + 521*w + 186*w.
(w + 3)*(237*w - 4)
Factor -51/4 + 25/2*j + 1/4*j**2.
(j - 1)*(j + 51)/4
Let d(v) = -v**5 + v**3 - v**2 + 1. Let h(g) = 2*g**5 + g**4 + 8*g**3 + 10*g**2 - 10*g - 11. Let u(f) = -3*d(f) - h(f). Let u(c) = 0. Calculate c.
-2, -1, 1, 4
Let s(y) be the first derivative of 2*y**6/3 - 88*y**5/5 - 76*y**4 + 88*y**3/3 + 150*y**2 + 1018. Solve s(g) = 0 for g.
-3, -1, 0, 1, 25
Let p(n) = -3*n**2 + 451*n - 946. Let i(r) = 4*r**2 - 446*r + 946. Let g(a) = 4*i(a) + 5*p(a). Factor g(l).
(l - 2)*(l + 473)
Let h = -31400 - -471004/15. Solve 2/15*w**4 + 0 - 2/15*w**5 + h*w**3 + 0*w + 0*w**2 = 0.
-1, 0, 2
Let w = 25922 - 25918. Let o(r) be the second derivative of -8*r**3 + 1/4*r**w + 96*r**2 - 6*r + 0. Factor o(q).
3*(q - 8)**2
Let c = -1002 + 1036. Suppose -5*t = 3*o - c, t + 4 = 9. Solve 2/5*a**o - 2/5*a - 6/5*a**2 + 6/5 = 0 for a.
-1, 1, 3
Let d(o) be the second derivative of o**6/45 + 503*o**5/30 + 167*o**4/6 - 503*o**3/9 - 502*o**2/3 + 6170*o - 1. Find x such that d(x) = 0.
-502, -1, 1
Solve -3/7*x**2 + 3075/7*x - 6138/7 = 0 for x.
2, 1023
Suppose -4*c + y = -1884, 236 = c - 4*y - 235. Factor -11*u**2 - 4*u**2 - 421 + c + 145*u.
-5*(u - 10)*(3*u + 1)
Find l such that -89888/11 - 553328/11*l**2 - 50/11*l**4 + 40704*l - 960*l**3 = 0.
-106, 2/5
Suppose 218 + 171 = 63*o + 137. Let s(q) be the second derivative of 2*q**2 + 0 + 20*q - 2*q**o + 2/3*q**3. Factor s(k).
-4*(2*k - 1)*(3*k + 1)
Let d(j) be the second derivative of 8*j**7/7 - 4*j**6/5 - 621*j**5/20 - 22*j**4 + 83*j**3/2 - 18*j**2 - 4248*j. Suppose d(r) = 0. What is r?
-3, -1, 1/4, 4
Let u be 10/(-8 - 2) + -371. Let j be (248/u)/((-8)/6). Let 1/2*k - 1/2*k**3 + j*k**2 - 1/2 = 0. What is k?
-1, 1
Let a = -145/107 + 939/535. Let j(p) be the first derivative of 0*p + 1/15*p**3 - a*p**2 + 35. Factor j(k).
k*(k - 4)/5
Let a(v) be the third derivative of v**5/150 - 7*v**4/12 + 124*v**3/15 + v**2 - 694. Determine r, given that a(r) = 0.
4, 31
Let g(m) be the second derivative of 784*m**5/5 - 868*m**4/3 + 115*m**3/2 - 9*m**2/2 + 8068*m. What is u in g(u) = 0?
3/56, 1
Find j such that -610*j**2 + 783 - 2*j**3 + 667*j**2 - 996*j + 214*j + 5*j**3 - 61*j = 0.
-29, 1, 9
Let u(y) be the first derivative of -4*y**3/3 - 16*y**2 - 28*y - 4965. Factor u(z).
-4*(z + 1)*(z + 7)
Suppose 20*s - 81 = -7*s. Let l = 58 + -40. Let -18 + l - s*n**2 + 3*n**3 + 0*n**4 - 3*n + 3*n**4 = 0. What is n?
-1, 0, 1
Let z be (11 - 13)/((-8)/12). Suppose -3*j + 31 + z*j + 6 + j - 39*j**2 + 2*j**2 - j**3 = 0. What is j?
-37, -1, 1
Let s(q) be the second derivative of -q**8/2240 + 3*q**7/1120 - q**5/40 + 25*q**3/6 + 109*q. Let f(h) be the second