p(j) + i*z(j). Factor m(d).
-4*d**3
Let n(v) be the first derivative of 1/6*v**3 - 1/2*v**2 + 1/12*v**4 - 1/20*v**5 + 27 + 30*v. Let f(p) be the first derivative of n(p). Factor f(b).
-(b - 1)**2*(b + 1)
Let v(r) = 152 + 129 - 74*r + 165. Let p be v(6). What is l in -48/7 + 24/7*l - 3/7*l**p = 0?
4
Let y(u) be the second derivative of -1/4*u**5 + 45*u**4 - 2 - 59*u + 116640*u**2 - 3240*u**3. Factor y(i).
-5*(i - 36)**3
Let y(i) = -i**3 - 19*i**2 + 4. Let u be y(-19). Let q = 3 + u. Suppose -1 - 2 + v**2 - q*v - 5 = 0. Calculate v.
-1, 8
Let r = 4/11 - 3/11. Let l be -18 - -14 - -5 - (-40)/(-44). Suppose -1/11*t**2 + l + 1/11*t - r*t**3 = 0. What is t?
-1, 1
Suppose -32*b + 107 - 43 = 0. Factor 60*m**2 + 48 - 7*m**3 + 96*m + b*m**4 + 25*m**3 - 8*m.
2*(m + 2)**3*(m + 3)
Factor -4/5*h**2 + 4*h - 24/5.
-4*(h - 3)*(h - 2)/5
Let v be ((-851)/(-37))/(-644)*0. Suppose v*n - 2/7*n**3 + 0*n**2 + 0 - 2/7*n**4 = 0. What is n?
-1, 0
Let h = 104254 - 104250. Suppose 98/5 - 236/5*g**2 - 16*g**3 + 224/5*g - 6/5*g**h = 0. Calculate g.
-7, -1/3, 1
Suppose 3*a - 4*y = 7*a - 76, -a + 25 = 3*y. Suppose 2*h = a*h - 56. Solve 0*f + 1/3*f**h + f**3 + 0 + 2/3*f**2 = 0 for f.
-2, -1, 0
Suppose -47*b = -51*b + 12. Determine h so that -285*h**2 - 2*h**3 + 12*h**b + 280*h**2 - 5*h**4 = 0.
0, 1
Let w(v) be the second derivative of -3*v**5/20 - 3*v**4 + 27*v**3/2 - 21*v**2 + 4365*v. Solve w(h) = 0 for h.
-14, 1
Factor -14*h**3 - 22*h**3 - 12*h**2 - 14*h**3 - 21*h**3 + 73*h**3 + 18*h.
2*h*(h - 3)**2
Let g = -669886/19 + 35260. Factor g + 18/19*w**2 - 2/19*w**3 - 54/19*w.
-2*(w - 3)**3/19
Suppose 11 - 29 = -9*l. Suppose 4*w - 3*w = 2*q + 25, l*q + 112 = 4*w. Determine z so that -39*z**2 + 4*z - 2*z + 27*z**3 - 11 + 17 - w*z + 33*z**4 = 0.
-1, 2/11, 1
Suppose 25*b + 2 = 26*b + z, b + 3*z + 6 = 0. Let d(f) = f**2 + f - 1. Let n(v) = -4*v**4 - 32*v**3 - 62*v**2 - 34*v - 6. Let s(c) = b*d(c) - n(c). Factor s(r).
4*r*(r + 1)*(r + 2)*(r + 5)
Let b be -4 - (-6 - (-860)/6). Let a = b + 142. Let 2/3*w**2 - 2/3*w**3 - a + 2/3*w = 0. Calculate w.
-1, 1
Let y = 19 - 16. Suppose 0*k - 36 = -k + y*h, 0 = 4*k + 5*h - 59. Determine q, given that q**3 + q**3 + k*q - 19*q - 4*q**2 = 0.
0, 1
Let o(i) = 2*i**3 + 4*i**2 - 21*i + 50. Let c be o(3). Let h = 79 - c. Suppose -1/3*f**5 + 0*f + 0*f**3 + 0 + 0*f**h + 5/3*f**4 = 0. Calculate f.
0, 5
Let i(t) be the third derivative of -t**7/84 + 81*t**6/16 - 481*t**5/24 - 405*t**4/16 + 1205*t**3/6 + 60*t**2 + 6*t - 2. Find z, given that i(z) = 0.
-1, 1, 2, 241
Let d(l) be the first derivative of 4*l**3/3 + 133*l**2/2 + 33*l - 855. Factor d(f).
(f + 33)*(4*f + 1)
Suppose -5*c + 19 = -4*n, 2*c - 2*n = 8 - 0. Find w such that 15*w - 19*w + w**3 + 8*w**2 - 5*w**c = 0.
0, 1
Let i(f) be the first derivative of -f**5/80 - 5*f**4/4 - 50*f**3 - 9*f**2 - 57. Let t(b) be the second derivative of i(b). Factor t(q).
-3*(q + 20)**2/4
Let y(s) be the third derivative of s**7/7560 - 7*s**6/720 - s**4/6 + 5*s**3/6 + 28*s**2. Let x(l) be the second derivative of y(l). Find h such that x(h) = 0.
0, 21
Let w be 1/(-3) - -167*1/(-3). Let n = w - -78. Factor -6*k**3 + 18*k + n*k - 3*k**2 - 37*k.
-3*k*(k + 1)*(2*k - 1)
Suppose -443*y - 17 = -445*y + l, -y - 8 = l. Factor -20/9*u**2 - 2/9*u + 2/9*u**y + 20/9.
2*(u - 10)*(u - 1)*(u + 1)/9
Let f(o) be the third derivative of o**5/180 + 73*o**4/72 - 37*o**3/9 - 184*o**2. Factor f(l).
(l - 1)*(l + 74)/3
Let x = 151 - 107. Let p = 46 - x. Suppose 5*g + 11*g - 20*g + 25*g**p + 5*g**4 + 20*g**3 + 14*g = 0. What is g?
-2, -1, 0
Let l(d) = -2*d**2 - 57*d + 9. Let i(b) = -14*b + 2. Suppose -36 = 20*x - 2*x. Let h(f) = x*l(f) + 9*i(f). Factor h(n).
4*n*(n - 3)
Let y(u) be the second derivative of 0*u**3 - 51*u + 0*u**2 - 1/3*u**4 + 1 - 2/15*u**6 + 2/5*u**5. Factor y(o).
-4*o**2*(o - 1)**2
Let z(x) be the second derivative of -1/42*x**3 + 1/42*x**4 - 1/7*x**2 + 1/140*x**5 - 39*x + 0. Factor z(s).
(s - 1)*(s + 1)*(s + 2)/7
Suppose 2/3*z**3 - 4/3*z**2 - 2*z + 0 = 0. What is z?
-1, 0, 3
Determine t, given that 0*t**4 + 3299090*t**2 + 4*t**4 - 5260*t**3 - 1268858272 - 1263276784*t - 2920*t**3 + 2274214*t**2 = 0.
-1, 682
Factor 3/2*z**2 - 5/2*z - 6.
(z - 3)*(3*z + 4)/2
Let w = -242341/3 - -80783. Determine f, given that -1/3*f**4 + f**2 - w*f + 2/3*f**3 + 4/3 = 0.
-2, 1, 2
Let v = 5 + -9/2. Let h = -50677/426 - -8458/71. What is k in -h*k**3 - v*k**4 + 1/2*k**2 + 1/3*k - 1/6*k**5 + 0 = 0?
-2, -1, 0, 1
Let t = 6169/4086 + -20/2043. Factor t*z**2 - 1/2*z + 1/2*z**3 - 1 - 1/2*z**4.
-(z - 2)*(z - 1)*(z + 1)**2/2
Let u(a) be the third derivative of 134*a**2 - 1/1020*a**6 - 22/51*a**3 + 43/204*a**4 - 2/51*a**5 + 0 + 0*a. Solve u(j) = 0.
-22, 1
Suppose 3519 = 13*p - 173. Let -159*f + p*f + 3*f**2 - 161*f = 0. Calculate f.
0, 12
Let t(r) = -72*r**2 - 3540*r - 104451. Let j = -384 + 382. Let n(d) = -7*d**2 - 354*d - 10445. Let s(h) = j*t(h) + 21*n(h). Solve s(v) = 0 for v.
-59
Suppose -g - 961 = -3*a, -5*g = 5*a - 0*a + 4825. Let c = -6724/7 - g. Let -20/7*v + 8/7*v**3 + c*v**2 - 4*v**4 + 4/7 + 12/7*v**5 = 0. What is v?
-1, 1/3, 1
Let w be ((-172)/(-215))/((-4)/(-10)). Find u, given that -u**4 + 6*u**2 - 5*u**4 + w*u - 5*u + 9*u**5 - 6*u**5 = 0.
-1, 0, 1
Let n be 6/(-36) + (-385)/(-42) + 6. Let s be ((-183)/n - -8) + 5. Solve 14/5*u**3 + s*u**2 - 4/5 - 14/5*u = 0.
-1, -2/7, 1
Factor -3*v**2 - 3690*v - 188138 + 199575 - 1146112.
-3*(v + 615)**2
Suppose -290 = 221436*q - 221581*q. Factor -2*u - q - 1/2*u**2.
-(u + 2)**2/2
Let v = -4014 + 4016. Let s(c) be the first derivative of -3*c**v + 0*c + 3/10*c**5 - 15/8*c**4 + 4*c**3 + 16. Solve s(a) = 0 for a.
0, 1, 2
Let s = -20669 + 20671. Let g(m) be the second derivative of 0 - 6*m**2 + 1/4*m**4 + s*m + 3/2*m**3. Factor g(n).
3*(n - 1)*(n + 4)
Find r such that 2132/11*r + 2/11*r**2 + 568178/11 = 0.
-533
Let z be (((3 - 5) + 8)*(-6)/63)/(3924/(-13734)). Find w, given that -6/7*w**z + 0*w + 0 + 3/7*w**3 = 0.
0, 2
Let g(z) = 10*z**4 - 165*z**3 + 535*z**2 + 640*z. Let c(f) = 15*f**4 - 247*f**3 + 802*f**2 + 966*f. Let j(b) = -5*c(b) + 7*g(b). Let j(n) = 0. What is n?
-1, 0, 7, 10
Let s(k) be the first derivative of -k**6/2 + 9*k**5/5 + 3*k**4/4 - 11*k**3 + 18*k**2 - 12*k + 2311. Suppose s(v) = 0. Calculate v.
-2, 1, 2
Factor c**4 + 0*c**2 - 1/3*c**5 + 0 - 2/3*c**3 + 0*c.
-c**3*(c - 2)*(c - 1)/3
Let b(q) be the second derivative of 52*q + 1/90*q**5 + 0*q**2 - 4/27*q**3 + 1/135*q**6 + 0 - 2/27*q**4. Factor b(s).
2*s*(s - 2)*(s + 1)*(s + 2)/9
Suppose 29 - 9 = -5*v. Let i(l) = l**3 + 3*l**2 - 7*l + 8. Let n be i(v). Factor 4 - n*y**2 - 6*y + 10*y**2 + 4 + 8*y**2.
-2*(y - 1)*(y + 4)
Let c(x) be the third derivative of -x**7/280 - 23*x**6/160 - 81*x**5/80 - 97*x**4/32 - 19*x**3/4 - x**2 + 104. What is n in c(n) = 0?
-19, -2, -1
Suppose -16*o = -11*o - 3190. Let m = 640 - o. Find d, given that -1/5*d**m + 0 - 2/5*d = 0.
-2, 0
Factor 73168/7*y + 1/7*y**4 + 55488/7 - 268/7*y**3 + 17411/7*y**2.
(y - 136)**2*(y + 1)*(y + 3)/7
Let r(q) = 5*q - 44. Let v be r(9). Solve -y - y**2 - 10*y + 13*y - v = 0 for y.
1
Let y = 609 - 600. Let x be 2/y + (-1050)/1323 - -1. Factor 30/7*l - 36/7*l**2 + 18/7*l**3 - 9/7 - x*l**4.
-3*(l - 3)*(l - 1)**3/7
Let -29*o**2 - 16*o - 7*o**2 + 48 - 16*o**2 + 8*o**4 + 8*o**2 + 4*o**3 = 0. Calculate o.
-2, -3/2, 1, 2
Suppose -7*h + 4*x = -5*h + 28, 3*h + 3*x + 42 = 0. Let s be (0 + -2)*21/h. Factor 2*c - 1/6*c**5 - c**4 + 4/3 - 11/6*c**s - 1/3*c**2.
-(c - 1)*(c + 1)*(c + 2)**3/6
Let l(d) be the second derivative of 8 - 70/3*d**3 + 5/12*d**4 - 5*d + 130*d**2. Suppose l(u) = 0. What is u?
2, 26
Let l(c) be the first derivative of 221 + 10*c**4 + 100/3*c**3 + 4/5*c**5 + 0*c**2 + 0*c. What is t in l(t) = 0?
-5, 0
Let t be 3 - (-27)/405*15. Factor -3*c**2 - 9/5*c + 12/5 + 9/5*c**3 + 3/5*c**t.
3*(c - 1)**2*(c + 1)*(c + 4)/5
Let i be (16/(-20))/2 + (-2223)/(-45). Let r = 52 - i. Factor -3/2*m**2 - 3/8*m**4 + 0 + 3/2*m**r + 0*m.
-3*m**2*(m - 2)**2/8
Let a be (64/(-28))/(24/(-84)). Suppose -4*p + 40 = -4*y + a*y, y + 3*p - 20 = 0. Let -3/2*g**y + 0 - 15/4*g**4 + 0*g + 0*g**2 - 3/2*g**3 = 0. What is g?
-2, -1/2, 0
Let w(q) = -48*q**3 + 62*q**2 + 135*q + 15. Let f(p) = -35*p**3 + 47*p**2 + 101*p + 11. Let r(g) = -15*f(g) + 11*w(g). Factor r(i).
-i*(i + 6)*(3*i + 5)
Find x such that 2/5*x**5 + 416/5*x**3 - 1536