19*v**3 - 42483*v**2/2 + 3388. Factor m(f).
-3*f*(f - 238)**2/4
Let v be (-27178)/8001 + (-60)/(-14). Let 2/9*g**3 + 10/9*g + 4/9 + v*g**2 = 0. What is g?
-2, -1
Let h(a) be the first derivative of 2*a**5/35 + 39*a**4/14 - 54*a**3/7 + 41*a**2/7 - 7176. Suppose h(q) = 0. What is q?
-41, 0, 1
Let z(t) be the first derivative of -2*t**7/21 - 76*t**6/45 - 44*t**5/5 - 8*t**4 - 63*t + 14. Let w(y) be the first derivative of z(y). Factor w(n).
-4*n**2*(n + 6)**2*(3*n + 2)/3
Let g(l) = l**3 - 146*l**2 + 958*l + 2085. Let p be g(139). Determine s so that 3/5*s**2 + 18/5*s + p = 0.
-6, 0
Let j = -993 - -18869/19. Suppose -36*y + 5*h + 6 = -33*y, -3*h = 0. What is b in j*b + 2/19*b**y + 0 = 0?
-1, 0
Let n = -1427 - -1455. Let k(m) = m**3 - 30*m**2 + 54*m + 56. Let a be k(n). Suppose 0*f**2 + 1/3*f**4 - 1/3*f**5 + a*f**3 + 0*f + 0 = 0. What is f?
0, 1
Let c(n) be the second derivative of -n**5/30 + 11*n**4/27 + 43*n**3/27 + 2*n**2 + 23*n - 14. Factor c(d).
-2*(d - 9)*(d + 1)*(3*d + 2)/9
Let h(n) be the first derivative of -2*n**5/95 - 48*n**4/19 - 3946*n**3/57 + 17238*n**2/19 + 83232*n/19 + 7571. Determine t so that h(t) = 0.
-51, -2, 8
Let t(l) = -l**2 - 11*l + 9. Let d be t(-12). Let k(s) = -2*s - 2. Let v be k(d). Factor -84*u**4 - 15*u**3 - 4*u**2 + 72*u**v - 2*u**2 - 3*u**5.
-3*u**2*(u + 1)**2*(u + 2)
Find s, given that -1200 - 2707*s**2 + 8*s**4 + 7503*s**2 + 8*s**4 + 608*s - 2432*s**3 = 0.
-1/2, 1/2, 2, 150
Let u(j) be the first derivative of 68*j**5/55 + 103*j**4/22 + 70*j**3/11 + 37*j**2/11 + 2*j/11 - 641. Factor u(h).
2*(h + 1)**3*(34*h + 1)/11
Let x = 12362 - 12359. Suppose 1/2 - 13/6*g - 7/6*g**x + 17/6*g**2 = 0. What is g?
3/7, 1
Let i(c) be the second derivative of c**5/70 + 93*c**4/28 + 139*c**3/42 + 1520*c. Suppose i(v) = 0. What is v?
-139, -1/2, 0
Let l be 6*1 + (8 - (-10 - 4)). Solve 214375*h**3 + 779*h + 10545*h**2 + 26205*h**2 + 12 + 1321*h + l = 0.
-2/35
Let o be (-288)/48 - (-3062)/(-6). Let b = -515 - o. Suppose -2/3*q**2 - b*q + 0 = 0. Calculate q.
-2, 0
Suppose -1245*x + 388*x**2 + 5*x**4 - 61*x**3 + 35*x**2 + 990 - 71*x**3 + 37*x**3 + 122*x**2 = 0. Calculate x.
2, 3, 11
Suppose -2 = -2*c + 2*y, 55*c + 5*y - 13 = 51*c. Let z be 244/6 - 8/12. Factor 16*q**3 + 12 - q**2 - z*q - 3*q**2 - 32*q**c.
4*(q - 3)*(q + 1)*(4*q - 1)
Let a = -38177/8 + 9545/2. Factor 15/4 - a*j**2 - 27/8*j.
-3*(j - 1)*(j + 10)/8
Let y(s) be the second derivative of s**7/420 - s**6/45 + s**5/15 + 7*s**4/3 + 5*s. Let o(a) be the third derivative of y(a). Determine g, given that o(g) = 0.
2/3, 2
Let s(q) = 7855*q**2 - 13640*q + 845615. Let g(z) = 725*z**2 - 1240*z + 76874. Let v(o) = 65*g(o) - 6*s(o). Suppose v(j) = 0. What is j?
124
Let b(z) = z**2 - 16*z - 196. Let q(v) = -v**2 + 15*v + 198. Let y(f) = -9*b(f) - 8*q(f). Find s such that y(s) = 0.
-6, 30
Suppose -3*n - x + 1836 = 3*x, 3*n + 2*x - 1830 = 0. Let v = n + -608. Factor 17*y**3 + 6*y**2 - 40/3*y**4 + 7/3*y**5 + v + 0*y.
y**2*(y - 3)**2*(7*y + 2)/3
Let 13925*h**3 + 9848*h + 26222*h**3 + 303564*h**2 - 9889*h**3 + 80 = 0. What is h?
-10, -2/123
Let i(r) be the first derivative of -2*r**5/5 - 21*r**4 - 82*r**3/3 + 964. Suppose i(s) = 0. What is s?
-41, -1, 0
Let k = 316 + -308. Determine w so that 23*w**2 + 13333*w - k*w**2 - 3*w**3 - 13234*w + 81 = 0.
-3, -1, 9
Let 1/3*s**3 - 3*s - 4/3*s**2 + 12 = 0. What is s?
-3, 3, 4
Let y be 3/(-15) + (-8203)/(-65). Factor -5 - 75*a**2 - y*a**3 - 2*a + 47*a + a**3.
-5*(a + 1)*(5*a - 1)**2
Suppose -11*b + 14*b - 9 = 0. Suppose -22 = -4*x + b*o - o, -4*x - 4*o - 8 = 0. Let 8 + 109*n**2 + 128*n + 265*n**2 + 0 + 68*n**2 - 578*n**x = 0. Calculate n.
-2/17, 1
Let t = -14217 - -14217. Factor t - 15/4*f + 1/4*f**3 + 1/2*f**2.
f*(f - 3)*(f + 5)/4
Factor 28/9*j + 4/3 - 7/9*j**3 - 1/3*j**2.
-(j - 2)*(j + 2)*(7*j + 3)/9
Suppose -123*d = -61*d + 175*d + 255*d. Determine g so that 0*g + d + 5/9*g**3 + 7/9*g**4 - 2/9*g**2 = 0.
-1, 0, 2/7
Find h such that -11*h**2 + 5*h - 17*h**2 - 23*h**2 + 33*h + 12*h**2 + h**3 = 0.
0, 1, 38
Let 63 - 1/2*t**2 - 39/2*t = 0. What is t?
-42, 3
Let y = 50243 + -50203. Factor y*o + 32 + 7/2*o**3 + 1/4*o**4 + 18*o**2.
(o + 2)*(o + 4)**3/4
Let i(s) = s**3 + 113*s**2 + 822*s - 1887. Let z be i(-105). Find r such that 40/3*r + 16 + 2/9*r**z + 28/9*r**2 = 0.
-6, -2
Suppose 0 = -0*h - 3*h, -4*h - 2538 = -2*v. Suppose v = 12*k + 1245. Factor 2/11*t**k + 14/11 - 16/11*t.
2*(t - 7)*(t - 1)/11
Suppose 110/9*l + 50/3 - 12*l**3 - 2/9*l**5 + 38/9*l**4 - 188/9*l**2 = 0. What is l?
-1, 1, 5, 15
Let c(y) be the third derivative of 136*y**2 + 0 + 1/56*y**4 + 0*y + 0*y**5 - 1/280*y**6 + 0*y**3. Factor c(d).
-3*d*(d - 1)*(d + 1)/7
Let r(h) = -h**3 + 16*h**2 - 26*h - 26. Let a be r(14). Find u, given that -16 - 12*u**2 - 1351*u - a*u**3 - 1362*u + 2689*u = 0.
-2
Factor 14/3 + 11/6*s + 1/6*s**2.
(s + 4)*(s + 7)/6
Suppose 24 = 123*o - 119*o. Factor -5*z**3 + 6*z**3 - o + 10*z**2 + 17*z + 14 + 0*z**3.
(z + 1)**2*(z + 8)
Find a such that -54*a - 6 - 4*a**4 + 0*a**4 + 38*a**2 - 12 + 7*a**3 - 9*a + 0*a = 0.
-3, -1/4, 2, 3
Let h(a) = a**2 + 236*a + 1159. Let k be h(-5). Determine l so that 6/17*l**3 + k*l**2 - 126/17*l + 52/17 = 0.
-13, 2/3, 1
Let -1/3*s**4 + 13/3*s**2 - 10/3*s + 0 - 2/3*s**3 = 0. What is s?
-5, 0, 1, 2
Determine s, given that -216 - 61*s**4 - 103*s**4 - 8905*s - 317 - 251 - 12756*s**2 - 2632*s**3 - 7783*s = 0.
-7, -2, -2/41
Let s(a) = -42*a - 53*a + a**2 + 96*a. Let t(f) = 10*f**5 - 24*f**4 - 2*f**3 + 13*f**2 - 19*f. Let z(y) = 22*s(y) + 2*t(y). Determine l so that z(l) = 0.
-1, 0, 2/5, 1, 2
Let p(r) be the third derivative of 1/12*r**5 + 0*r - 29*r**2 + 1445/6*r**3 - 85/12*r**4 + 2. Factor p(g).
5*(g - 17)**2
Let p(l) be the second derivative of l**4/4 + 103*l**3 + 612*l**2 - l - 310. Solve p(d) = 0.
-204, -2
Let m(h) = 3*h**3 - h**2 - 2*h - 2. Let b(v) = -29*v**3 - v**2 + 51*v - 1. Let a(o) = -3*b(o) - 30*m(o). Factor a(z).
-3*(z - 7)*(z - 3)*(z - 1)
Let y(h) be the second derivative of 5/2*h**3 - 7*h + 1/60*h**5 + 1/3*h**4 + 2 + 25/3*h**2. Factor y(b).
(b + 2)*(b + 5)**2/3
Let 4*c**3 + 14142 + 32*c**2 - 7071 - 7127 + 20*c = 0. What is c?
-7, -2, 1
Let i = -7969 - -7971. Let o = 173 - 169. Factor w**3 + 0 - 1/2*w**o + 1/2*w**i - w.
-w*(w - 2)*(w - 1)*(w + 1)/2
Let j(v) = -9*v**3 + 2*v**2 - 5*v. Let r(f) be the second derivative of f**5/10 + f**3/6 - 60*f. Let h(y) = -j(y) - 4*r(y). Factor h(m).
m*(m - 1)**2
What is v in -2/11*v**2 - 214/11*v + 216/11 = 0?
-108, 1
Let v(s) be the second derivative of s**6/70 + 3*s**5/140 - 5*s**4/14 - 2*s**3/7 + 36*s**2/7 - 469*s. Factor v(x).
3*(x - 2)**2*(x + 2)*(x + 3)/7
Let w(u) be the third derivative of -u**8/20160 - u**7/630 - 11*u**6/2160 - u**4/6 + 2*u**3/3 - 12*u**2. Let h(i) be the second derivative of w(i). Factor h(z).
-z*(z + 1)*(z + 11)/3
Let c(u) be the third derivative of 1/720*u**6 + 0*u + 19/180*u**5 - 4*u**2 + 6 + 18*u**3 + 11/4*u**4. Factor c(o).
(o + 2)*(o + 18)**2/6
Let a be ((-33)/969 - (-484)/2299) + (-78)/(-136). Determine m, given that 9/4*m**4 - 3/4*m**5 + 0*m + a*m**3 - 21/4*m**2 + 3 = 0.
-1, 1, 2
Factor 2/5*w**4 + 36/5*w**3 + 162/5*w**2 + 0*w + 0.
2*w**2*(w + 9)**2/5
Let z(x) be the third derivative of -3/40*x**5 + 0 + 0*x - 1/480*x**6 - 27/32*x**4 + 0*x**3 + 137*x**2. What is q in z(q) = 0?
-9, 0
Let d(s) be the second derivative of s + 121/9*s**3 - 1331/9*s**2 + 1/90*s**5 + 20 - 11/18*s**4. Factor d(u).
2*(u - 11)**3/9
Let l = -927662 + 927666. Factor 0 - 1/4*j**5 - 15/4*j**2 + 29/4*j**3 + 0*j - 13/4*j**l.
-j**2*(j - 1)**2*(j + 15)/4
Let w = 5673 - 3216. Let m be 2340/w - 2/3. Factor 0 - 8/7*d**2 + 0*d - m*d**3.
-2*d**2*(d + 4)/7
Suppose 6*z = 3*z + 9. Suppose z*x - 15 = 4*h - 7*h, -5*h + 7 = -4*x. Factor 12*f - 8*f + 8*f**2 - 13*f + 4*f**2 - 3*f**h.
-3*f*(f - 3)*(f - 1)
Let -3*j**4 - 870181*j**3 + 868291*j**3 + 13332*j**2 - 28841*j + 203*j + 17199 = 0. Calculate j.
-637, 1, 3
Let 66411614*g**2 + g**4 - 150*g - 66411579*g**2 - 36*g**4 - 5*g**5 + 155*g**3 = 0. What is g?
-10, -1, 0, 1, 3
Let t = -11 + 18. Let z(h) = -h**2 + 6*h + 9. Let s be z(t). Factor 128 - 15*c**2 - 2*c**2 - 96*c - 7*c**2 - 6*c**2 - s*c**3.
-2*(c - 1)*(c + 8)**2
Factor -1/3*x**3 + 14/3*x**2 - 32/3*x - 128/3.
-(x - 8)**2*(x + 2)/3
Let d(t) be the third derivative of -t**6/120 + 19*t**5/60 + 35*t**4/12 - 44*t**3/3 - 512*t