 - 10)*(v + 1)/5
Let o(t) be the third derivative of -t**7/70 - t**6/10 + 11*t**5/20 - 3*t**4/4 - 5*t**2 - 93. Factor o(s).
-3*s*(s - 1)**2*(s + 6)
Suppose -5*v = -k + 7, -3*v = -9*k + 14*k - 7. Let q be (-1560)/832 + (-2)/v. Factor -1/2*a + 1/2*a**2 + 0 - q*a**3.
-a*(a - 2)**2/8
Solve -m**5 - 8*m**3 - 844 - 844*m**4 - 141388*m**2 + 4*m + 143076*m**2 + 5*m**5 = 0 for m.
-1, 1, 211
Let d(l) = l**3 + 6*l**2 - 6*l + 9. Let v be d(-7). Let o be 4 + (39/(-26) - (-1)/(-2)). Factor p**v + 3*p**o + 622 - 16*p - 622.
4*p*(p - 4)
Let k(z) = -3*z**3 - 42*z**2 + 291*z - 228. Let j = -651 - -656. Let q(b) = b**3 + 12*b**2 - 83*b + 65. Let w(i) = j*k(i) + 18*q(i). Factor w(l).
3*(l - 2)*(l - 1)*(l + 5)
Let i = -1233191/3 - -411065. Determine p so that -2/3*p**2 - i*p + 10 = 0.
-5, 3
Suppose 0 = -2*l - u, -l - 3*u = 2 + 8. Suppose l*i - 4*o - 8 = 0, 5*i + 6*o = 4*o + 20. Factor -2/3*z + 1/3*z**2 - 1/3*z**i + 0 + 2/3*z**3.
-z*(z - 2)*(z - 1)*(z + 1)/3
Suppose 1522 = 1186*i + 108 - 958. Factor 8/5*n**3 + 2/5*n**4 + i*n**2 + 0 + 4/5*n.
2*n*(n + 1)**2*(n + 2)/5
Suppose -167*k + 2912 = -1096. Factor 32*q + k*q**2 + 6*q**3 + 1/2*q**4 + 0.
q*(q + 4)**3/2
Let r(c) be the first derivative of 112 - 224*c**2 - 24*c**4 + 192*c - 4/5*c**5 + 2/3*c**6 + 352/3*c**3. Factor r(t).
4*(t - 2)**3*(t - 1)*(t + 6)
Let t(l) be the first derivative of -3*l**4/4 - 64*l**3 + 807*l**2/2 - 612*l + 7077. Factor t(a).
-3*(a - 3)*(a - 1)*(a + 68)
Let -6/5 - 14/5*n**2 + 3/5*n**3 - 23/5*n = 0. What is n?
-1, -1/3, 6
Solve 692/3*g - 228*g**2 - 8/3 = 0.
2/171, 1
Let g be ((-44660)/6)/(-58) - 55. Factor 152/3 - 4*i**2 + g*i.
-4*(i - 19)*(3*i + 2)/3
Let i(g) be the first derivative of g**6/15 + 3*g**5/10 - 5*g**4/6 - g**3 + 4*g**2 - 80*g - 77. Let l(o) be the first derivative of i(o). Solve l(j) = 0 for j.
-4, -1, 1
Factor 30/17*v**2 - 120/17 - 2/17*v**3 + 8/17*v.
-2*(v - 15)*(v - 2)*(v + 2)/17
Determine n so that -122*n**4 + 245*n**4 - 39*n**2 + 19*n**3 - 30*n - 120*n**4 - 25*n**3 = 0.
-2, -1, 0, 5
Factor 1143064/11*s + 1516/11*s**3 - 2/11*s**4 - 290298/11*s**2 - 1137032/11.
-2*(s - 377)**2*(s - 2)**2/11
Let i(g) be the first derivative of 2*g**3/15 - 13*g**2/5 - 12*g + 812. What is h in i(h) = 0?
-2, 15
Suppose 2*q + 62 = 5*g + 3*q, 4*g - 61 = 3*q. Let m be g/(-6)*(170/(-130) - -1). Determine f, given that 0 - 3*f**4 - 6*f**3 - 11/3*f**2 - m*f = 0.
-1, -2/3, -1/3, 0
Let l(q) be the second derivative of 0 + 13/9*q**3 - 66*q - 1/5*q**5 - 2*q**2 - 2/9*q**4 + 2/45*q**6 + 1/63*q**7. Suppose l(r) = 0. Calculate r.
-3, -2, 1
Let n(j) be the first derivative of j**6/2 + 3*j**5 + 3*j**4/4 - 17*j**3 - 33*j**2 - 24*j - 5010. Let n(w) = 0. Calculate w.
-4, -1, 2
Let i(l) = -2*l**3 - 36*l**2 + 24*l + 991. Let a be i(-17). Determine x, given that -2/3*x**3 + 0 + 0*x**2 - 4/3*x**4 - 2/3*x**a + 0*x = 0.
-1, 0
Let f(p) be the first derivative of -p**3/7 + 561*p**2/14 + 564*p/7 - 6128. Factor f(o).
-3*(o - 188)*(o + 1)/7
Let a = -476/1345 + 2773/4035. Determine f so that -f**2 + 8/3 + a*f**4 + 4/3*f**3 - 10/3*f = 0.
-4, -2, 1
Let s(r) be the first derivative of r**4/12 + r**3/9 - 145*r**2/3 + 96*r + 1820. Factor s(o).
(o - 16)*(o - 1)*(o + 18)/3
Let n = 1033/9 - 459/4. Let v(x) be the second derivative of -10*x + 0*x**2 + 0*x**3 + 0 + n*x**4. Factor v(p).
p**2/3
Suppose -101*s = -78*s + 1518. Let x be 12/s + 536/286. What is a in 2/13*a**3 + 70/13*a - 50/13 - x*a**2 = 0?
1, 5
Let a(i) = -205*i + 36695. Let r be a(179). Let r - 16/3*g**2 - 2/3*g**4 - 8/3*g - 10/3*g**3 = 0. Calculate g.
-2, -1, 0
Let w(t) be the second derivative of -t**5/420 + t**4/14 - 6*t**3/7 + 37*t**2 + t + 69. Let h(f) be the first derivative of w(f). Suppose h(n) = 0. Calculate n.
6
Let n(q) = -9*q**2 + 12735*q - 20339449. Let d(g) = -8*g**2 + 12738*g - 20339448. Let s(f) = -7*d(f) + 6*n(f). Factor s(l).
2*(l - 3189)**2
Let m(i) be the second derivative of -i**4/24 - 244*i**3/3 - 59536*i**2 + 2179*i - 1. Solve m(r) = 0 for r.
-488
Determine q so that -410868*q + 42507866 - 49506*q + 2279*q**2 - 617*q**2 - 2*q**3 = 0.
277
Let i(c) be the second derivative of c**6/80 - 3*c**5/80 - 35*c**4/32 + 9*c**3/2 - 27*c**2/4 - 6530*c. Factor i(q).
3*(q - 6)*(q - 1)**2*(q + 6)/8
Let v(p) = -4*p**3 - 2*p**2. Let c be v(-3). Factor c - 55*z - 828*z**2 + 415*z**2 + 418*z**2.
5*(z - 9)*(z - 2)
Let l(n) be the third derivative of 0*n**3 + 0*n + 1/40*n**6 + 0*n**4 + 0 - 1/112*n**8 - 1/60*n**5 - 18*n**2 + 1/210*n**7. Find s, given that l(s) = 0.
-1, 0, 1/3, 1
Let g(q) be the first derivative of q**4/36 - 2*q**3/3 + 16*q**2/3 - 160*q/9 - 413. Let g(w) = 0. Calculate w.
4, 10
Factor -f**2 - 54 + 95 - 41 - f**2 - 732*f.
-2*f*(f + 366)
Let a be (24 + (-696)/29)/(3 - 1). Let z(m) be the first derivative of -m**3 - 3/2*m**2 + a*m + 3/5*m**5 + 3/4*m**4 + 26. Determine v so that z(v) = 0.
-1, 0, 1
Let b be 18/(-16)*-20*(-6)/(-9). Suppose -5*c - b = 5*y, 2*y + 5*c + 7 = -14. Factor -2*p + 1/2 + 3*p**y + 1/2*p**4 - 2*p**3.
(p - 1)**4/2
Let q(l) = l**3 - l**2 - l + 14. Let u(k) = 9*k**3 - 209*k**2 + 355*k + 1638. Let z(b) = -5*q(b) + u(b). Factor z(m).
4*(m - 49)*(m - 4)*(m + 2)
Suppose -25*a = -6*a - 342. Suppose 0 = 96*h - 90*h - a. Factor -8*u**3 + 0*u**2 - 15*u**2 + 20*u + h*u**3.
-5*u*(u - 1)*(u + 4)
Suppose 0 = 17*j + 59 - 110. Suppose 344 - 329 = j*w. Factor -25/4*n**2 + 10*n + w.
-5*(n - 2)*(5*n + 2)/4
Suppose -11 = -5*a - 6, 3*z + 2*a - 11 = 0. Let 1 - 360*l**5 - 1 + 840*l**2 + 720*l + 70*l**4 + 365*l**z + 0 + 365*l**5 = 0. Calculate l.
-4, -3, 0
Let i(b) = b**3 + 12*b**2 - 6*b - 69. Let y be i(-12). Factor -2337*m - m**4 - 4*m**2 - 4*m**2 + 2337*m - m**4 + 8*m**y.
-2*m**2*(m - 2)**2
Let k = 15052112/96985 + -8/19397. Factor 18818/5*s**2 + 8/5 - k*s.
2*(97*s - 2)**2/5
Let s(f) be the first derivative of 43*f - 2*f**4 + 4*f**4 + 13*f - 3*f**4 - 8*f**3 + 32 + 18*f**2. Suppose s(a) = 0. What is a?
-7, -1, 2
Let f(g) = -13*g + 701. Let p be f(0). Let k = 2821/4 - p. Factor 5/4*w**4 + k*w**3 + 3/2*w**2 + 0*w + 0.
w**2*(w + 3)*(5*w + 2)/4
Suppose 5*p**2 + 40*p**4 - 45*p**4 - 2*p**5 + 52*p**5 - 50*p**3 = 0. Calculate p.
-1, 0, 1/10, 1
Let b be (44 + -3)*49 - (1 - 0). Let n = -2008 + b. Let 2/3*y**4 + n*y**3 + 0 - 2*y**2 - 4/3*y = 0. What is y?
-1, 0, 2
Let u(y) be the second derivative of -5*y**4/12 + 310*y**3/3 + 630*y**2 + 234*y. Determine v so that u(v) = 0.
-2, 126
Let t(q) be the second derivative of 20*q**7/21 - 151*q**6/2 + 6549*q**5/4 - 4690*q**4/3 - 1960*q**3 - 44*q - 26. Determine x so that t(x) = 0.
-3/8, 0, 1, 28
Let j(i) = -2*i**2 + 22*i - 96. Let k(q) = q**2 + q + 4. Let u(f) = -j(f) - 3*k(f). Solve u(r) = 0.
-28, 3
Suppose 0 = -5*h + 35 - 15. Suppose -r - 2 = -h*f + 11, -4*f = 4*r - 8. Determine k so that 7*k - 9*k**3 + 6 + k**3 + 7*k**f = 0.
-2, -1, 3
Find g, given that -2/7*g**4 + 0 - 12/7*g**3 - 24/7*g**2 - 16/7*g = 0.
-2, 0
Let r(z) = -3*z**4 - 464*z**3 + 40373*z**2 - 1560891*z + 22632992. Let l(d) = -1 - d**4 + 1 + 139*d**2 + d - 138*d**2. Let v(m) = -5*l(m) + r(m). Factor v(j).
2*(j - 58)**4
Let s = 43 - 21. Suppose -s = 3*h - 46. Factor -26*z - 148 + h*z**3 + 44*z**2 + 2*z + 148.
4*z*(z + 6)*(2*z - 1)
Let t = 9 - 7. Let s be (13 - (-5 - -10))/(t/7). Factor -24*k**4 + 62*k**4 - 4*k - s*k**4 - 10*k**2 + 4*k**3.
2*k*(k - 1)*(k + 1)*(5*k + 2)
Let p(q) = -263*q**2 + 262*q + 143*q - 2800 + 2687 - 53*q**3. Let n(i) = -35*i**3 - 175*i**2 + 270*i - 75. Let x(v) = -8*n(v) + 5*p(v). Solve x(j) = 0.
-7, 1/3, 1
Suppose 0 = 2*k - 69*f + 65*f + 44, -k - 3*f = -38. Factor 24/7*o - 4/7*o**k - 20/7.
-4*(o - 5)*(o - 1)/7
Factor 300/13*f + 2/13*f**3 - 70/13*f**2 + 0.
2*f*(f - 30)*(f - 5)/13
Let f be 9 - -474*(-6)/324. Let j(g) be the first derivative of -1/9*g**3 + 0*g**2 + 12 + f*g**6 - 1/4*g**4 + 0*g**5 + 0*g. Suppose j(s) = 0. What is s?
-1/2, 0, 1
Let z = 9 - 4. Suppose 2*v = -c - c, 0 = z*c + 4*v - 3. Solve -c + 3 + 6*d**2 - 5 + 14*d**2 + 15*d = 0.
-1, 1/4
Find j, given that 632/17*j**2 + 18/17*j**3 + 132/17 + 74*j = 0.
-33, -2, -1/9
Let i(p) be the second derivative of p**4/12 + 23*p**3/3 - 496*p**2 + 736*p - 4. Factor i(u).
(u - 16)*(u + 62)
Find w, given that 36/5*w**2 - 168/5 - 36/5*w**3 + 4/5*w**4 + 164/5*w = 0.
-2, 1, 3, 7
Suppose 156 = -9*z - 213. Let d be (1/(-8)*-1)/(z/(-82)). Determine s, given that s**4 + 0*s**2 - d*s**5 + 0 + 0*s - 3/4*s**3 = 0.