such that c(r) = 0.
-146, 1
Let t(g) be the third derivative of 0 + 0*g + 7/20*g**5 - 5*g**3 + 11*g**2 + 3*g**4. Let n(c) = -c - 1. Let i(s) = 6*n(s) - t(s). Suppose i(w) = 0. What is w?
-4, 2/7
Let w(z) be the third derivative of z**6/150 + 89*z**5/75 - 37*z**4/6 - 182*z**3/5 + 6*z**2 - 339*z. Factor w(v).
4*(v - 3)*(v + 1)*(v + 91)/5
Let d(h) be the first derivative of -h**7/80 - 3*h**6/40 + 9*h**5/80 - 74*h**3/3 - 21. Let a(k) be the third derivative of d(k). Factor a(l).
-3*l*(l + 3)*(7*l - 3)/2
Let s be -3 + (4 + (81 - -3) - 4). Suppose -135 - s = -12*b. Determine x so that -3*x**2 - 2*x**5 + 8 + 8*x**4 - 25*x**3 + b*x**2 + 23*x**2 + x**5 - 28*x = 0.
1, 2
Let y(v) = 2*v**5 - 33*v**4 - 171*v**3 - 224*v**2 - 2*v + 82. Let z(s) = s**4 + s**3 + 2*s**2 - s - 1. Let t(x) = y(x) + 2*z(x). Solve t(c) = 0.
-2, -1, 1/2, 20
Determine z, given that 0 + 32/7*z**2 - 2/7*z**3 + 34/7*z = 0.
-1, 0, 17
Let z(m) be the second derivative of -125/2*m**2 - 50*m**3 - 3*m**5 - 52*m - 115/6*m**4 - 1/6*m**6 + 0. Factor z(i).
-5*(i + 1)**2*(i + 5)**2
Let g(z) = z**3 + 2*z**2 - 17*z - 6. Let u be g(-5). Solve 10*n**5 - 2*n**u + 54*n**2 - 13*n**5 - 10*n**4 - 85*n**3 + 94*n**3 = 0 for n.
-3, 0, 2
Let z = -1208393/756 - -3197/2. Let c = 5/108 + z. Solve 0*f - c*f**3 + 1/7*f**2 + 0 = 0.
0, 1
Suppose -7780*q + 7683*q + 194 = 0. Factor 0 + 1/6*d**5 - 4/3*d**4 + 4/3*d - 11/3*d**q + 7/2*d**3.
d*(d - 4)*(d - 2)*(d - 1)**2/6
Let a be (-1057185)/(-61047) + 3/7. Let p = a + -288/19. Factor 16/17 - p*j + 10/17*j**2.
2*(j - 4)*(5*j - 2)/17
Suppose -3*x - 1 + 16 = 0. Suppose 0 = h - 106 + 101. Suppose -o**5 + 0*o**2 + 11*o**x - 5*o + 10*o**4 - h*o**5 - 10*o**2 = 0. Calculate o.
-1, 0, 1
Suppose 4*s - 3*d - d = 20, -5*s + d = -13. What is r in 55*r - 5*r**2 + 30 + 13*r**s + 2*r**2 + 5*r**3 + 20*r**2 = 0?
-3, -2, -1
Let n(k) be the third derivative of -k**7/84 + k**6/12 + 31*k**5/12 + 65*k**4/4 + 165*k**3/4 + 1516*k**2 + 2*k. Solve n(c) = 0.
-3, -1, 11
Let r = 29 + -29. Suppose 2*z + 13*z = r. Factor 0 + 0*d + z*d**2 + 1/3*d**3.
d**3/3
Let r(g) = -g**3 + g**2 - 2*g + 15. Suppose 0 = 2*i + 4*i. Let w be r(i). Factor 13 - w + 3*c + 4*c**2 - 3*c**3 + c**4 - 3*c**2.
(c - 2)*(c - 1)**2*(c + 1)
Suppose 5*z - t - 327 - 2009 = 0, 0 = z - 2*t - 460. Let m = -468 + z. Suppose 0*a**2 + 4/5*a**4 - 2/5*a**3 + 0*a + m - 2/5*a**5 = 0. Calculate a.
0, 1
Let f = 4024 + -4020. Let z(j) be the first derivative of -f*j**4 - 4/5*j**5 - 8*j**3 - 8*j**2 - 4 - 4*j. Factor z(i).
-4*(i + 1)**4
Let o(g) be the third derivative of 0*g + 0*g**3 - 2/105*g**7 - 31/60*g**5 - 4*g**2 + 20 + 29/120*g**6 + 1/4*g**4. Find l, given that o(l) = 0.
0, 1/4, 1, 6
Let f be 2008*83/(-3984) + 42. Factor 1/6*s**3 + f*s**2 - 1/6 - 1/6*s.
(s - 1)*(s + 1)**2/6
Suppose -18422 = 34*k - 3360. Let c = -1327/3 - k. Factor -1/3*w + 1/3*w**3 - c*w**2 + 2/3.
(w - 2)*(w - 1)*(w + 1)/3
Let a = 18349/3 - 6168. Let d = a - -784/15. Factor 51/5*k**2 + 27/5*k**3 - d + 21/5*k.
3*(k + 1)**2*(9*k - 1)/5
Let h(v) be the third derivative of 1/105*v**7 + 4*v**2 + 0*v - 1/20*v**6 - 2 + 1/3*v**4 + 0*v**5 + 0*v**3. Determine z so that h(z) = 0.
-1, 0, 2
Let u(t) = -4*t**2 - 19*t + 7. Let h be u(-5). Factor 2*a**2 + h*a**2 - 8*a - 7*a**2 - a**2 + 4*a**3.
4*a*(a - 2)*(a + 1)
Let p be ((-1086)/(-1267))/(1/(-21)). Let k be p/3 + 1184/48. Find r such that -242/9 - 308/3*r - 8/9*r**4 + k*r**3 - 794/9*r**2 = 0.
-1/2, 11
Let l(c) be the first derivative of -c**4/8 - 63*c**3 - 772. Let l(n) = 0. What is n?
-378, 0
Let 73/3*l**2 - 1/3*l**3 - 692/3*l + 620/3 = 0. Calculate l.
1, 10, 62
Let i(v) = v**3 - 12*v**2 + 78*v - 731. Let t be i(11). Factor -14*g - t + 1/2*g**4 - 19/2*g**2 - g**3.
(g - 6)*(g + 1)**2*(g + 2)/2
Suppose -12 + 37 = 5*v. Factor 2*o - 15*o**2 - 40 + v*o**4 - 6*o + 30*o + 11*o + 33*o - 20*o**3.
5*(o - 4)*(o - 1)**2*(o + 2)
Let h(n) be the first derivative of -7*n**3/2 - 1521*n**2/4 + 438*n - 790. Solve h(t) = 0 for t.
-73, 4/7
Let s(u) be the third derivative of u**5/120 - 449*u**4/6 + 806404*u**3/3 - u**2 - 18. Find d such that s(d) = 0.
1796
Let j(f) = -4*f**2 + 277*f - 1350. Let u(t) = -12*t**2 + 834*t - 4052. Let n(o) = 14*j(o) - 5*u(o). Let n(c) = 0. Calculate c.
5, 68
Solve -179*u + 42 + 2*u**4 + u**4 + 21*u**3 - 1253*u**2 + 1244*u**2 + 122*u = 0 for u.
-7, -2, 1
Let d = 652435 - 652432. Determine q so that -20/11*q**d - 18/11*q**2 + 0 + 0*q = 0.
-9/10, 0
Determine u so that 79/6*u + 1/6*u**2 + 13 = 0.
-78, -1
What is z in 5*z**4 - 80*z**2 - 21*z**2 - 75 - 22*z**2 + 220*z - 137*z**2 + 50*z**2 + 60*z**3 = 0?
-15, 1
Let w(m) be the second derivative of 5/126*m**7 + 41 - 125/18*m**4 - 15/2*m**2 - 175/18*m**3 + 2*m - 5/18*m**6 - 5/2*m**5. Suppose w(c) = 0. Calculate c.
-1, 9
Find a such that 37/2*a - 15 - 1/2*a**3 - 3*a**2 = 0.
-10, 1, 3
Let c(y) be the first derivative of 3*y**4/22 + 40*y**3/33 + 36*y**2/11 + 32*y/11 - 822. Factor c(g).
2*(g + 2)*(g + 4)*(3*g + 2)/11
Let p(f) be the first derivative of 3*f**5/10 + 3*f**4/4 - 19*f**3/2 - 15*f**2 - 926. Determine h, given that p(h) = 0.
-5, -1, 0, 4
Suppose 13*g = -39 - 65. Let c be (-206)/(-24) + -7 + 2/g. Factor 0*z + 1/3*z**2 - c.
(z - 2)*(z + 2)/3
Let a(j) = -3*j**4 + j**3 + j**2 - 2*j - 2. Let x(u) = 17*u**4 - 59*u**3 - 206*u**2 - 184*u + 12. Let k(r) = 6*a(r) + x(r). Suppose k(b) = 0. Calculate b.
-49, -2, 0
Let z be 5090/1527*33/5. Let x(f) be the third derivative of 5/12*f**4 + 0 - 2/3*f**3 + 0*f + 7/30*f**5 + z*f**2. Factor x(r).
2*(r + 1)*(7*r - 2)
Let o = 2289/2 + -1142. Solve 4*t**2 + 2*t + 0 - 7/2*t**3 - o*t**4 = 0.
-2, -2/5, 0, 1
Let g = 813 - 811. Let t be 87/(-203)*g/(-2). Factor 3*v - t*v**2 + 0.
-3*v*(v - 7)/7
Let o(y) be the first derivative of y**6/21 + 2*y**5/35 - 6*y**4/7 - 32*y**3/21 + 32*y**2/7 + 96*y/7 - 7270. Determine d, given that o(d) = 0.
-2, 2, 3
Let v(s) be the second derivative of s**7/14 - 9*s**6/10 + 39*s**5/20 + 45*s**4/4 - 25*s**3 - s - 41. Find h such that v(h) = 0.
-2, 0, 1, 5
Let z = 79 + -77. Let q(u) be the first derivative of -75*u - 533 - 15*u**2 + u**3 - z*u**3 + 554. Factor q(l).
-3*(l + 5)**2
Suppose 0 = 5*v - 3*m - 36, 13*v = 8*v - 169*m - 2028. Factor v - 4/3*p**4 + 2*p**3 - 4/3*p**2 + 1/3*p + 1/3*p**5.
p*(p - 1)**4/3
Let j(d) = -4*d**2 + 247*d + 1030. Let u(h) = -2*h**2 + 82*h + 344. Let m(r) = 4*j(r) - 13*u(r). Determine t so that m(t) = 0.
-16/5, 11
Factor 1/6*o**3 - 1675/6 + 695/6*o - 77/6*o**2.
(o - 67)*(o - 5)**2/6
Determine i, given that 1/6*i**2 + 814323/2 - 521*i = 0.
1563
Let q(u) be the first derivative of u**3/3 + 4*u**2 + 725. Solve q(c) = 0.
-8, 0
Let a(q) = 2. Let w = -96 - -76. Let z(r) = -2*r**2 + 372*r - 17278. Let f(u) = w*a(u) + 2*z(u). Find h such that f(h) = 0.
93
Let s(p) be the first derivative of p**5/20 + 59*p**4/16 - 665*p**3/12 + 1725*p**2/8 + 251. Solve s(y) = 0 for y.
-69, 0, 5
Suppose 69 = -13*p + 108. Solve 0*s**2 - 5*s + p*s**3 - 3*s**2 - 19*s**3 + 14*s + 4*s**3 = 0.
-1, 0, 3/4
Let v(q) be the first derivative of -28*q**3/3 + 176*q**2 + 156*q - 9004. Factor v(t).
-4*(t - 13)*(7*t + 3)
Let o(s) be the first derivative of 4*s**3 - 12/5*s**5 + 3/2*s**2 - 3/4*s**4 - 68 + 0*s. Factor o(h).
-3*h*(h - 1)*(h + 1)*(4*h + 1)
Let p(x) = 607*x**2 - 2349*x + 98. Let n(o) = -151*o**2 + 587*o - 24. Let r(i) = 9*n(i) + 2*p(i). What is m in r(m) = 0?
1/29, 4
Factor 25748 - 21384*n + 3578*n**2 - 147*n**3 - 872*n**2 + 658 + 12798 + 507*n**2.
-3*(n - 3)*(7*n - 66)**2
Let n(a) = 14 - 24*a**3 - 3 - 3 - 30*a**2 - 4 - 11 + 6*a**4. Let u(k) = 2*k**4 - 8*k**3 - 10*k**2 - 2. Let v(t) = -4*n(t) + 14*u(t). Factor v(x).
4*x**2*(x - 5)*(x + 1)
Suppose -b + 4*g + 53 = 0, -3*g + 199 = 4*b - 6*g. Let i = -553 + 556. Factor -6*q + 49 - b - i*q**2.
-3*q*(q + 2)
Find n, given that -349 + 133 + 20*n**2 - 382*n - 150*n = 0.
-2/5, 27
Suppose o - 88*t = -92*t + 1239, -5*o - 3*t + 6195 = 0. Let j = o + -13627/11. Let 6/11*a + j*a**2 + 0 = 0. Calculate a.
-3, 0
Determine m, given that 5*m**2 + 4*m + 1/4*m**4 + 2*m**3 + 0 = 0.
-4, -2, 0
Let m(t) be the third derivative of 2/9*t**3 + 0 + 1/18*t**4 - 53*t**2 - 1/180*t**5 - 1/360*t**6 + 0*t. What is i in m(i) = 0?
-2, -1, 2
Suppose 176 = 31*u - 149*u + 648. Factor -3/8*s**2 + 5/8*s**3 - 1/8*s - 1/4*s**u + 1/8.
-(s - 1)**3*(2*s + 1)/8
Let o(k) be the first derivative of -k**7/210 + 13*k**6/90 + 40*k**3 - 90.