25*18)/(1221/(-4070)). Factor 32/5*s + 0 + i*s**2 + 2/5*s**3.
2*s*(s + 4)**2/5
Let a(q) be the second derivative of -1 + 216675/4*q**3 - 91125/2*q**2 - 2*q - 7/60*q**6 + 947/40*q**5 - 14265/8*q**4. Solve a(p) = 0.
2/7, 45
Let y = -3007 + 3009. Let u(v) be the second derivative of 2/3*v**4 + 5/3*v**3 + 0 + y*v**2 + 1/10*v**5 - v. Factor u(l).
2*(l + 1)**2*(l + 2)
Let a(g) = 27*g**2 - 9665*g + 9616. Let r(l) = -25*l**2 + 9660*l - 9615. Let k(o) = 10*a(o) + 11*r(o). Factor k(u).
-5*(u - 1921)*(u - 1)
Let n = -648930 + 649050. Suppose 80/3*s + 135*s**3 + 0 + n*s**2 = 0. Calculate s.
-4/9, 0
Find j such that 0 - 2/5*j**2 - 3/5*j**3 + 1/5*j**5 + 0*j + 0*j**4 = 0.
-1, 0, 2
Let c = 188 - 184. Factor q**2 + 3*q**c + q**4 - 33*q**3 - 17*q**2 + 4*q**5 + 17*q**3.
4*q**2*(q - 2)*(q + 1)*(q + 2)
Let o(y) be the second derivative of 3*y**3 + 13/10*y**5 + 2*y**2 - y - 4*y**4 - 28. Factor o(g).
2*(g - 1)**2*(13*g + 2)
Let z = -1071 - -1059. Let j be -1 - (-3)/4*(-8 - z). Factor 16/11*s - 14/11 - 2/11*s**j.
-2*(s - 7)*(s - 1)/11
Let h(i) = i**2 - 211. Let f be h(16). Suppose -f*n + 55*n = 0. Suppose 2/19*m**5 + 0*m**2 + 0*m + n + 2/19*m**3 - 4/19*m**4 = 0. What is m?
0, 1
Solve -29063 + 652*g + 0*g**2 - 4*g**2 + 19024 - 43099 + 2*g**2 = 0.
163
Let l(g) be the first derivative of -3 + 0*g**2 - 5*g**3 - 1/720*g**6 + 0*g - 1/8*g**4 + 1/48*g**5. Let r(n) be the third derivative of l(n). Factor r(x).
-(x - 3)*(x - 2)/2
Let c = 384 + -381. Suppose 2*m - 16 = -4*i, 4*m - 8 - 9 = -c*i. Factor 4/5*u**2 - 14/5*u**4 + 0*u - 2*u**i + 0.
-2*u**2*(u + 1)*(7*u - 2)/5
Let w be (-1764)/(-112) - 15 - 5/(-8)*2. Solve 0 - s**w + 1/3*s - 1/3*s**4 + s**3 = 0 for s.
0, 1
Let q(i) be the third derivative of -i**5/20 + 399*i**4/8 + 200*i**3 + 1247*i**2. Suppose q(r) = 0. Calculate r.
-1, 400
Let v(f) be the second derivative of -5/6*f**3 - f + 1/12*f**4 - 29 - 7*f**2. Factor v(u).
(u - 7)*(u + 2)
Let d(k) = -6*k - 4. Let a be d(-1). Let v(u) be the first derivative of 0*u**a + 0*u + 11 + 1/2*u**6 - 3/4*u**4 + u**3 - 3/5*u**5. Factor v(b).
3*b**2*(b - 1)**2*(b + 1)
Let s(n) be the second derivative of n**5/150 - n**4/18 + 4*n**3/45 + 460*n. Let s(m) = 0. What is m?
0, 1, 4
Let j(z) = 12*z**2 + 28*z + 32. Let w(g) be the first derivative of 4*g**3/3 + 9*g**2/2 + 11*g + 50. Let f(p) = 3*j(p) - 8*w(p). What is y in f(y) = 0?
-2, -1
Suppose 32 - 16 = 4*s. Suppose 0 = s*v + 57 - 109. Factor -60*p - 170 - v*p**2 + 21*p**2 - 13*p**2 - 10.
-5*(p + 6)**2
Find d, given that -3*d**2 - 65*d**3 - 6*d**2 + 4*d**2 + 0*d**2 - 12*d + 5*d**4 + 77*d = 0.
-1, 0, 1, 13
Let n(l) be the second derivative of 1/10*l**6 + 19/3*l**3 + 97/12*l**4 - 41*l + 31/10*l**5 + 0 + 0*l**2. Determine q so that n(q) = 0.
-19, -1, -2/3, 0
Let k(v) be the first derivative of 85*v**3/9 - 424*v**2/3 - 20*v/3 - 2098. Factor k(y).
(y - 10)*(85*y + 2)/3
Let t = 1060 + -1060. Let z(r) be the first derivative of 5*r**2 - 5*r + r**5 + 18 + t*r**3 - 5/2*r**4. Factor z(x).
5*(x - 1)**3*(x + 1)
Let v = 83/800 + 3751/2400. Factor 20/3*r + 20 - v*r**2.
-5*(r - 6)*(r + 2)/3
Suppose -11*n + 53*n + 10*n = 0. Factor n*a + 0 + 2/7*a**3 + 6/7*a**2.
2*a**2*(a + 3)/7
Factor 0 + 536/9*b + 2/9*b**2.
2*b*(b + 268)/9
Let s be 964/150 - 11922/(-49675). Solve -16/3 - 4/3*q**2 - s*q = 0.
-4, -1
Find j, given that -112/5*j - 2/15*j**2 - 334/15 = 0.
-167, -1
Let x = 82 - 87. Let g be (-6)/x*(-15)/(-6). What is u in -28*u**3 - 5*u**4 + 14*u**g + 9*u**3 = 0?
-1, 0
Let z be 2/(-22) + 6665/473. Suppose 0 = -2*s - 2*s. Solve -4*a - 81 - z*a - a**2 + s = 0 for a.
-9
Let i(y) be the first derivative of -5*y**6/2 + y**5 + 105*y**4/4 + 45*y**3 + 25*y**2 - 1434. Factor i(f).
-5*f*(f + 1)**3*(3*f - 10)
Let v(z) be the first derivative of z**4/30 - z**3/5 - 18*z**2/5 + 151*z - 43. Let w(h) be the first derivative of v(h). What is a in w(a) = 0?
-3, 6
Let p = -20/111 + 322/555. Factor -2/5*z**3 - 2/5*z**2 + 2/5*z + p.
-2*(z - 1)*(z + 1)**2/5
Suppose -44/5*q - 4/5 - 169/5*q**4 - 69/5*q**2 + 286/5*q**3 = 0. What is q?
-2/13, 1
Suppose 257*p - 660 = -810*p + 1474. Let 1/2 - 1/2*l**p - 1/4*l**3 + 1/4*l = 0. Calculate l.
-2, -1, 1
Let a(j) = -449*j + 3 - 4*j**2 - 449*j + 3*j**2 - 63 + 879*j. Let v be a(-15). Factor 0 - 1/5*n**4 + 0*n**2 + 0*n**3 + v*n.
-n**4/5
Let x be (21/49 - 0) + (-17)/42. Let n(c) be the third derivative of 0*c + 1/210*c**5 - 8*c**2 - 1/420*c**6 + x*c**4 + 0 + 0*c**3. Find w such that n(w) = 0.
-1, 0, 2
Let 2/5*s**2 - 112*s - 1698/5 = 0. Calculate s.
-3, 283
Let x be (-1734)/(-2312) - 1/4. Find l such that -3/2*l**5 + x - l**2 + 1/2*l**4 + 3*l**3 - 3/2*l = 0.
-1, 1/3, 1
Suppose 49 = -14*u - 203. Let y(k) = k**2 + 19*k + 23. Let w be y(u). Let 3*i**3 + i**4 - 5*i**2 - 35*i**5 - 28*i**w + 2*i + 62*i**5 = 0. What is i?
-2, 0, 1
Let a(c) be the second derivative of 243*c**5/20 + 27*c**4/2 + 6*c**3 + 4*c**2/3 + 974*c. Suppose a(t) = 0. What is t?
-2/9
Let o be (-13 - 1001/22)*4/23. Let v = o - -959/92. Solve 1 - v*l**2 + 1/8*l**3 - 1/2*l = 0.
-2, 2
Let j(k) be the second derivative of 0*k**3 - 1/525*k**7 + 4*k + 16 + 0*k**4 - 4/125*k**5 + 0*k**2 + 3/125*k**6. Factor j(z).
-2*z**3*(z - 8)*(z - 1)/25
Suppose 69*p - 458 + 113 = 0. Let c(m) be the first derivative of -2/7*m**2 - 1 + 1/7*m**4 + 0*m - 2/21*m**3 + 2/35*m**p. Solve c(h) = 0 for h.
-2, -1, 0, 1
Let c(j) be the second derivative of -13*j**6/120 - 3*j**5/10 + 17*j**4/48 + j**3 - j**2/2 + 1021*j. Determine z, given that c(z) = 0.
-2, -1, 2/13, 1
Let g be (-2 - (-5 - 12)) + -11. Let q(j) be the second derivative of -2/21*j**7 - 8/3*j**3 + 4/5*j**6 + 0*j**2 - 13/5*j**5 + 0 - 12*j + 4*j**g. Factor q(u).
-4*u*(u - 2)**2*(u - 1)**2
Let h(y) = 58*y**2 - 2590*y + 2595. Let m(t) = -192*t**2 + 7768*t - 7786. Let v(g) = -10*h(g) - 3*m(g). Let v(j) = 0. What is j?
1, 648
Suppose 5*t - 250 = -8*c, 5*c + 3*t + 22 - 178 = 0. Let o(v) be the first derivative of -5/3*v**3 - 22 + 35/2*v**2 - c*v. Suppose o(u) = 0. What is u?
1, 6
Let l(t) be the second derivative of t**6/540 - t**5/90 - t**4/27 + 45*t**2/2 - 40*t + 2. Let n(h) be the first derivative of l(h). Factor n(w).
2*w*(w - 4)*(w + 1)/9
Solve -1341/2*a - 1798281/4 - 1/4*a**2 = 0.
-1341
Suppose p + 14 = 8*p. Solve 15 + 8*z**3 + 24*z - 10 - 8*z + 18*z**p + 0*z**4 + z**4 = 0 for z.
-5, -1
Let c(w) be the first derivative of -w**6/18 + 24*w**5/5 + 37*w**4/2 + 224*w**3/9 + 25*w**2/2 + 3866. Factor c(u).
-u*(u - 75)*(u + 1)**3/3
Let v = 683905 - 683877. Find k such that -2/3*k**2 - v*k + 86/3 = 0.
-43, 1
Let 35/6*m**4 - 49/6*m**3 - 2/3 + 17/6*m**5 - 139/6*m**2 - 38/3*m = 0. Calculate m.
-2, -1, -1/17, 2
Let b(j) be the third derivative of -j**7/105 - 7*j**6/24 + 26*j**5/15 + 77*j**4/24 - 10*j**3 - 1612*j**2. Suppose b(c) = 0. What is c?
-20, -1, 1/2, 3
Find c such that 125732 + 1403*c + 299372 + 190*c - 670*c + 4*c**2 + 1685*c = 0.
-326
Let l(p) be the third derivative of -p**7/210 - 23*p**6/20 - 4757*p**5/60 + 23*p**4 + 3174*p**3 - 5146*p**2. Factor l(z).
-(z - 2)*(z + 2)*(z + 69)**2
Let -39274*a**2 + 10*a**3 - 20*a**3 + 39260*a**2 + 9*a**3 = 0. What is a?
-14, 0
Let v(d) be the second derivative of 1/10*d**5 - 1/60*d**6 + 0*d**2 + 0 - 8*d + 1/8*d**4 - 3/2*d**3. Find c, given that v(c) = 0.
-2, 0, 3
Suppose -1378 + 838 - s**4 + 35*s**2 + 600*s - 4*s**4 - 90*s**3 = 0. Calculate s.
-18, -3, 1, 2
Suppose 0 = t + 3, -11*t = l - 9*t - 1. Determine h so that -2*h**2 - 60 + 3*h + l*h**2 + 0*h + 2*h = 0.
-4, 3
Let w be 92148/18 + (-12)/(-18). What is n in w + 240*n**2 - 118*n**2 + 320*n - 117*n**2 = 0?
-32
Let b(u) = -u**3 + 3*u**2 - 4*u + 2. Let x be b(2). Let l be -2*(-2 + (-1)/x). Find y, given that 0 - y**l - 20*y**2 - 5*y**3 + 2 - 7*y - 5*y**3 = 0.
-1, 2/11
Let b = -25 - -67. Let x = b - 40. Suppose -3*z**x - 3*z + 3*z - 3*z = 0. Calculate z.
-1, 0
Let d(k) be the third derivative of -43/8*k**4 - 9/2*k**3 + 0 - 41/10*k**5 - 39/20*k**6 - 219*k**2 - 1/16*k**8 + 0*k - 37/70*k**7. Factor d(s).
-3*(s + 1)**4*(7*s + 9)
Let j = -115552/3 + 38520. Let z(s) be the second derivative of 28*s + 0 + 1/3*s**4 + j*s**3 - 10*s**2. Factor z(d).
4*(d - 1)*(d + 5)
Let g(a) be the third derivative of 125/3*a**3 - 9*a**2 + 1/2*a**5 + 0*a - 1/60*a**6 + 0 - 25/4*a**4. Let g(y) = 0. Calculate y.
5
Let z(d) be the first derivative of -2*d**3/39 + 875*d**2/13 - 1748*d/13 - 9260. Factor z(t).
