*m**4 - 105/2*m**2 + 4*m**3 + 0*m + 0 = 0. What is m?
-15, 0, 7
Find c, given that -1002/7 - 2/7*c**2 + 1004/7*c = 0.
1, 501
Let t(r) be the first derivative of -3/40*r**5 + 0*r + 7/32*r**4 + 1/16*r**2 - 5/24*r**3 + 156. Find y, given that t(y) = 0.
0, 1/3, 1
Let n(t) be the second derivative of t**4/18 - 70*t**3/3 - 424*t**2/3 + 243*t + 2. Factor n(d).
2*(d - 212)*(d + 2)/3
Suppose 0 = -17*p + 334 + 584. Factor 140*o**4 + 159*o**4 + 14*o**5 - 26*o**2 - 345*o**4 + 4*o + p*o**3.
2*o*(o - 1)**3*(7*o - 2)
Let y(d) = d**2 + 44*d + 435. Let w be y(-29). Let m(h) be the first derivative of 1/18*h**4 + 8/27*h**3 - 7 + w*h - 2/45*h**5 - 4/9*h**2. Factor m(q).
-2*q*(q - 2)*(q - 1)*(q + 2)/9
Suppose 95*f - 50*f**4 + 196*f**3 + 4*f**5 + 192*f - 16*f - 326*f**2 - 39*f - 56 = 0. Calculate f.
1/2, 1, 2, 7
Let w be (-8)/40 + 142/10. Determine b, given that 0*b + 2*b - 2*b + 5*b**3 + 74*b**2 - w*b**2 = 0.
-12, 0
Let u = 97 + -215. Let l = u + 204. Find h such that 15*h**2 + 5*h**4 + h**3 - 16*h**3 + 81*h - l*h = 0.
0, 1
Let h(t) = 14*t**3 - 330*t**2 - 1526*t + 1798. Let g(c) = 2*c**3 - 47*c**2 - 218*c + 257. Let w(o) = -44*g(o) + 6*h(o). Factor w(r).
-4*(r - 26)*(r - 1)*(r + 5)
Let z(s) be the second derivative of s**5/30 - s**4/72 - 77*s**2/2 - s + 16. Let g(r) be the first derivative of z(r). Factor g(h).
h*(6*h - 1)/3
Let a be (12/(-14))/(120/(-112)). Let z(c) = 2*c**2 + 2*c - 38. Let h be z(-5). What is v in -2/5*v**h + a + 2/5*v = 0?
-1, 2
Let l be 32/3 - 1584/198. Find p such that -8 + l*p**2 + 20/3*p - 4/3*p**3 = 0.
-2, 1, 3
Suppose -6 + 0 = -2*z. Let d = 214632 - 214628. What is v in d - z*v**2 - 5/2*v**3 - 1/2*v**4 + 2*v = 0?
-2, 1
Let i(v) = 8*v**2 - 5. Let o(z) = -34*z**2 + 532*z - 2076. Let c(y) = -4*i(y) - o(y). Let c(x) = 0. Calculate x.
4, 262
Let i(a) = 9*a**2 + 30*a + 13. Let q(x) = 17*x**2 + 61*x + 26. Let p(f) = 5*i(f) - 3*q(f). Let s be p(-5). Factor -1/4*d**3 + 1/4*d + 1/4*d**s - 1/4.
-(d - 1)**2*(d + 1)/4
Let r(s) be the second derivative of s**7/42 + 4*s**6/15 + 7*s**5/20 - 280*s. Suppose r(w) = 0. Calculate w.
-7, -1, 0
Factor -81*q + 57*q**4 - 185*q**4 - 117*q + 60*q**4 + 394*q**2 + 66*q**4 - 194*q**3.
-2*q*(q - 1)**2*(q + 99)
Let t(y) = -y**4 + 6*y**3 + 21*y**2 + 150*y + 168. Let g(u) = -u**3 + 2*u**2 + u. Let w(f) = -40*g(f) - 5*t(f). Determine i so that w(i) = 0.
-4, -3, -2, 7
Let o(s) = -2*s**3 - 51*s**2 - 223*s - 52. Let m be o(-20). Solve -1/2*f**2 - m + 5*f = 0.
2, 8
Suppose -z - 4*v + 6 = 2, -4*z - v + 31 = 0. Suppose z*y = 4*y + 8. Factor 2 - 336*a**y + a**3 - 6 + 339*a**2.
(a - 1)*(a + 2)**2
Let x(a) be the second derivative of -a**4/28 + 15*a**3/7 - 264*a**2/7 - 4356*a. Factor x(o).
-3*(o - 22)*(o - 8)/7
Let k(g) = -2*g**3 + 8*g**2 + 2*g - 8. Let z be 17/5 + 132/(-330). Let c(n) = -n**3 + n**2 + n - 1. Let v(y) = z*c(y) - k(y). Factor v(u).
-(u - 1)*(u + 1)*(u + 5)
Let x be -2 + 2277/312 + -7 + ((-1218)/48 - -32). Let 62/13*n + 0 + x*n**2 + 2/13*n**3 = 0. Calculate n.
-31, -1, 0
Let y(o) be the second derivative of -o**5/150 + 8*o**4/15 - 31*o**3/15 + 57*o**2 - 3*o + 29. Let j(k) be the first derivative of y(k). Let j(w) = 0. What is w?
1, 31
Let v be (-15 - (-7998)/602)*14/(-8). Suppose -9/7*o**v + 27/7 + 57/7*o**2 - 99/7*o = 0. Calculate o.
1/3, 3
Let y be 4/3 - (-32)/48. Factor -474*l**y - l - 473*l**2 + 950*l**2 + 2*l.
l*(3*l + 1)
Let c be 10/(-3 + 2) + 6/2. Let k be -2 - ((-8 - c) + -6). Solve 0 - 2/5*t**3 - 6/5*t**2 + 0*t + 6/5*t**4 + 2/5*t**k = 0.
-3, -1, 0, 1
Factor -1/3*f**2 + 29 - 86/3*f.
-(f - 1)*(f + 87)/3
Factor -54700*p**2 - 16*p**5 - 441*p**4 - 680*p**4 + 263*p**4 - 3062500 + 1382500*p - 230*p**4 - 21796*p**3.
-4*(p + 25)**3*(2*p - 7)**2
Factor 3/8*j**3 + 1563*j - 3114 - 1581/8*j**2.
3*(j - 519)*(j - 4)**2/8
Let s(g) = -156*g - 936. Let v be s(-6). Determine l, given that -8/7*l - 4/7*l**2 + v + 4/7*l**3 = 0.
-1, 0, 2
Let 70*y**2 - y + 74*y + 42*y**3 + 38*y**2 + 35*y - 9*y**3 + 3*y**4 = 0. Calculate y.
-6, -3, -2, 0
Let c(y) = -6*y**4 + 89*y**3 - 203*y**2 - 672*y - 369. Let l(v) = 3*v**4 - 45*v**3 + 102*v**2 + 336*v + 183. Let d(h) = 3*c(h) + 5*l(h). Factor d(p).
-3*(p - 8)**2*(p + 1)**2
Let k(a) be the third derivative of -a**6/40 - 43*a**5/20 + 23*a**4 - 94*a**3 + 468*a**2. Determine o so that k(o) = 0.
-47, 2
Suppose 0 = 64*h - 939571 + 939443. Factor -2/3 + 1/3*j**4 + 5/3*j - 1/3*j**3 - j**h.
(j - 1)**3*(j + 2)/3
Let j(l) = l**2 + 13*l + 30. Let d be j(-10). Factor d - 2/19*k**2 - 18/19*k.
-2*k*(k + 9)/19
Let j(p) be the first derivative of p**4/26 + 418*p**3/39 - 421*p**2/13 + 422*p/13 - 1089. Factor j(d).
2*(d - 1)**2*(d + 211)/13
Suppose 4*a = 0, 7*a - 2*a = -c + 25. Determine s so that 33*s - c + 37*s - 28 + 5*s**3 + 45*s**2 + 53 = 0.
-7, -2, 0
Find m such that 2612 + 5639*m**2 - 2362*m + 14*m**3 - 10433*m - 4349*m**2 + 1045*m + 7834*m**2 = 0.
-653, 2/7, 1
Let s(d) = -161*d - 2 - 2 + 5 + 166*d. Let r be s(15). Suppose -22 - 174 - r*w**2 + 72*w**2 + 56*w = 0. What is w?
7
Let b = -371 + -361. Let i = b - -732. Suppose 0 - 1/3*h**4 + i*h + h**3 - 2/3*h**2 = 0. What is h?
0, 1, 2
Solve 2/9*x**5 + 12*x - 22*x**2 + 38/3*x**3 - 26/9*x**4 + 0 = 0 for x.
0, 1, 3, 6
Let i(v) be the third derivative of v**7/945 - 19*v**6/540 + 19*v**5/90 + 319*v**4/108 + 242*v**3/27 - 6518*v**2. Suppose i(x) = 0. What is x?
-2, -1, 11
Suppose 2*v + 3*c - 377 = -2*v, v - 5*c = 100. Let n be (2 + 24/(-26))*v/95. Let -32/13*s - 8/13 - n*s**2 = 0. Calculate s.
-2, -2/7
Let o be ((-3640)/(-1560))/(21/4). Factor o*p**3 - 2/9*p**4 + 0*p**2 + 0 + 0*p - 2/9*p**5.
-2*p**3*(p - 1)*(p + 2)/9
Let i(v) be the third derivative of -v**4/4 - 4*v**3/3 + 25*v**2. Let o be i(-2). Suppose 5*l**2 - 3*l**2 - 3*l**o + 3*l**2 - 2*l**2 = 0. Calculate l.
-1, 0, 1
Let g = 96221/24 + -4009. Let d(c) be the second derivative of 0 + 1/4*c**5 - 1/12*c**6 - g*c**4 + 0*c**2 + 0*c**3 - 24*c. Factor d(x).
-5*x**2*(x - 1)**2/2
Let k(n) be the third derivative of -n**7/945 - 13*n**6/540 - 2*n**5/45 - 90*n**2. Let k(x) = 0. Calculate x.
-12, -1, 0
Let g be ((-45)/(-4) - 11)/30. Let l(n) be the third derivative of 0*n**4 + 2/3*n**3 - 1/20*n**5 + 0 - g*n**6 + 18*n**2 + 0*n. Factor l(q).
-(q - 1)*(q + 2)**2
Let g(a) = -2*a - 16. Suppose -3*f = 3*u + u + 24, -40 = 5*f - 3*u. Let m be g(f). What is r in 3/4*r**2 + m - 3/2*r = 0?
0, 2
Let k = -582/77 + 6653/880. Let t(r) be the third derivative of k*r**8 + 0*r + 0*r**7 - 1/5*r**5 - 16*r**2 - 2/5*r**3 - 1/20*r**6 - 3/8*r**4 + 0. Factor t(n).
3*(n - 4)*(n + 1)**4/5
Let b(t) be the second derivative of -t**5/30 - 823*t**4/3 - 2709316*t**3/3 - 4459534136*t**2/3 + 2121*t. Suppose b(s) = 0. What is s?
-1646
Suppose 134*m - 88*m + 2019 = 719*m. Factor -144/5*f**2 + 3/5*f - 3/5*f**m + 144/5.
-3*(f - 1)*(f + 1)*(f + 48)/5
Let g(z) be the first derivative of 5*z**6/12 + 11*z**5/2 + 85*z**4/4 + 35*z**3/3 - 175*z**2/4 - 125*z/2 + 343. Solve g(l) = 0.
-5, -1, 1
Let f(v) = -4*v**2 - 580*v - 8701. Let o be f(-17). Factor -7/3*b**o - 8/3*b**2 + 16/3*b - 1/3*b**4 + 0.
-b*(b - 1)*(b + 4)**2/3
Let o = -417761 + 2088866/5. Factor o*d + 3721/10 + 1/10*d**2.
(d + 61)**2/10
Let n = 345 + -577. Let k be (n/(-28) - 8)*4. Factor 2/7*s**2 + 10/7*s + k.
2*(s + 1)*(s + 4)/7
Let a be (-120)/(-160) - 26/(-8). Find m, given that 15*m**4 - 6*m**3 + 8*m + m**2 - 23*m**4 - 2*m + 7*m**a = 0.
-6, -1, 0, 1
Suppose -2344*g - 21392 = -87024. Factor 96/5 + g*x - 6/5*x**2.
-2*(x - 24)*(3*x + 2)/5
Let m = 1866 - 1854. Let w(g) be the third derivative of 1/60*g**5 - m*g**2 + 1/12*g**4 + 0*g**3 + 0*g + 0. Factor w(i).
i*(i + 2)
Let r be ((-4)/(-26))/(2/(-5)*(50750/(-116))/175). Let m = -6/119 + 792/1547. Determine g, given that r*g**4 + 0 + 6/13*g**2 + m*g**3 + 2/13*g = 0.
-1, 0
Suppose -2*c + 5 - 9 = 0. Let i(j) = -121 - j**2 + 0*j**2 + 122. Let m(q) = q**2 - 5*q - 6. Let w(h) = c*i(h) - m(h). Factor w(u).
(u + 1)*(u + 4)
Let i(j) be the second derivative of -10*j**2 - 62*j + 0 + 25/6*j**3 - 5/12*j**4. Suppose i(b) = 0. What is b?
1, 4
Find r such that -14*r + 76*r**2 + 16 + 80*r**3 - 94 + 527*r**4 - 66*r - 525*r**4 = 0.
-39, -1, 1
Suppose 418*t = 431*t + 23920. Let s = -20222/11 - t. Factor -2/11*u**3 - s*u**2 - 14/11 - 30/11*u.
-2*(u + 1)**2*(u + 7)/11
Factor 3*u**4 + 12*u - 208392*u**3 + 208412*u**3 + 28*u**2 + u**4.
4*u*(u + 1)**2*(u + 3)
Suppose -977 - 73