2100, 0
Find t such that -3/8*t**4 + 9/8*t**2 - 3/4*t**3 + 0 + 0*t = 0.
-3, 0, 1
Let d be 10/6 + 2950/(-150). Let x be (-69)/d - 205/82. Factor 1/3*s**4 + 4/3*s**2 + 0 + 0*s + x*s**3.
s**2*(s + 2)**2/3
Suppose -16*a = -73 - 55. Let m(t) be the first derivative of -8*t - 11/10*t**5 + 14*t**2 + 43/8*t**4 - 73/6*t**3 + 1/12*t**6 + a. Solve m(f) = 0.
1, 4
Let c = 7176572/5681513 - -4/299027. Factor -12/19*z**2 + 10/19*z + c + 2/19*z**3.
2*(z - 4)*(z - 3)*(z + 1)/19
Let t(g) be the first derivative of -2*g**5/45 - 23*g**4/18 - 118*g**3/27 + 23*g**2/9 + 40*g/3 + 2152. Find f such that t(f) = 0.
-20, -3, -1, 1
Suppose q = -5*q - 12. Let o be ((-110)/(-33))/(q/(-6)). Factor d**3 + 8 - 17*d + d - 3*d**3 + o*d**2.
-2*(d - 2)**2*(d - 1)
Determine x so that 4592*x - 1116660 - x**2 + 250914 - 220086 - 4185784 = 0.
2296
Let c(x) be the second derivative of x**4/36 + 29*x**3/2 + 130*x**2/3 + 57*x - 4. Factor c(z).
(z + 1)*(z + 260)/3
Suppose -2*o + 21 + 3 = 4*b, 8 = 2*b - o. Suppose 2*g + 3*g = -5*s, 5*s = -15. Solve -2 - 2*i + b*i + 3*i**2 + g*i**2 - 7*i**2 = 0.
1, 2
Let l(q) be the second derivative of q**4/20 - 367*q**3/10 - 2*q + 142. Solve l(f) = 0.
0, 367
Let n be ((-2)/3)/((-14)/2). Let f = 8051/11505 - 127/3835. Determine b so that f*b + n*b**2 - 16/21 = 0.
-8, 1
Factor 194 + 2132/11*w - 2/11*w**2.
-2*(w - 1067)*(w + 1)/11
Suppose 6*y = 4*w + 12*y - 44, -4*w + 5*y + 44 = 0. Suppose 9*s - w = 7. Factor 4/5*k**s + 2*k - 6/5.
2*(k + 3)*(2*k - 1)/5
Let j(z) = 49*z + 2 + 0*z**2 - 13 + 6 + 9*z**2. Let v(r) = -14*r**2 - 74*r + 8. Let i(f) = -8*j(f) - 5*v(f). Factor i(m).
-2*m*(m + 11)
Factor 21*b + 1/4*b**3 + 19/4*b**2 + 0.
b*(b + 7)*(b + 12)/4
Factor 2*g**5 + 8*g**4 - 159*g + 24920*g**3 - 273*g - 216*g**2 + 14*g**4 - 24884*g**3.
2*g*(g - 3)*(g + 2)*(g + 6)**2
Let k = 2129/441 + 52/49. Let h = k - 5. Determine x so that h*x + 16/9 - 4/9*x**2 - 2/9*x**3 = 0.
-2, 2
Let r(g) be the third derivative of g**5/10 + g**4 + 3*g**3/2 - 13*g**2 - 2*g. Let d(v) = -v**2 - 3*v + 1. Let o(c) = -9*d(c) - r(c). Factor o(u).
3*(u - 2)*(u + 3)
Let q(k) be the third derivative of 14/15*k**3 + 1/40*k**4 - 1/300*k**5 + 8*k**2 + 3*k + 0. Factor q(x).
-(x - 7)*(x + 4)/5
Let b(c) be the second derivative of c**6/50 - 39*c**5/100 + 4*c**4/5 + 96*c**3/5 + 2370*c. Find g such that b(g) = 0.
-3, 0, 8
Suppose -4*r = -5*n - 255, -72 = r - 2*r + 4*n. Let q = -57 + r. Factor 55 - 16 + q*o**2 + 15*o - 27.
3*(o + 1)*(o + 4)
Let n(c) = c**2 - 44*c - 41. Let h(z) = -z**2 - 4*z - 6 + 3*z + 7. Let s(m) = 4*h(m) - n(m). Factor s(k).
-5*(k - 9)*(k + 1)
Let f(c) be the third derivative of -56*c**2 + 0 - 1/20*c**5 - 5/2*c**3 + c - 3/4*c**4. Find m such that f(m) = 0.
-5, -1
Let u(o) be the second derivative of o**4/12 - 59*o**3/6 - 61*o**2 + 515*o - 2. Factor u(j).
(j - 61)*(j + 2)
Solve 50*b**2 + 106 + 56 + 373 + 15 - 352*b - 2*b**3 - 30 = 0.
2, 10, 13
Let h be 11/33 + (-15)/(-9). Solve 1 + 16*j - 5 - 16 + 4*j**h = 0 for j.
-5, 1
Let t be (-19)/(-2)*(6 - -6). Let l = -112 + t. Determine g, given that 43*g**2 - 3*g**3 - 55*g**l - g**3 = 0.
-3, 0
Let b(m) = -62*m - 2538. Let f be b(-41). Let t(z) be the first derivative of 15 - 3/20*z**f + 9/5*z + z**3 - 21/10*z**2. Suppose t(k) = 0. What is k?
1, 3
Let l = 6173/2050 - 2574/1025. Let -l*w**2 + 33 - 31/2*w = 0. What is w?
-33, 2
Suppose 17290*j - 17835*j = -2180. Find x, given that 3*x + 10*x**2 - 4 - 1/2*x**5 - 9/4*x**j + 5/4*x**3 = 0.
-4, -2, -1, 1/2, 2
Let c = 362 + -352. Suppose 2*w + c = 7*w. Solve -r**w + 3/4*r**3 - 1/4*r**5 + 0 + 1/2*r**4 - r = 0 for r.
-1, 0, 2
Let u(b) be the second derivative of -b**7/210 - b**6/120 + b**5/60 + b**4/24 - 28*b**2 + 63*b. Let d(s) be the first derivative of u(s). Factor d(i).
-i*(i - 1)*(i + 1)**2
Let y(h) = -66*h**3 + 363*h**2 - 198*h + 33. Let g(o) = -131*o**3 + 723*o**2 - 397*o + 65. Let f(m) = -3*g(m) + 5*y(m). Determine q so that f(q) = 0.
2/7, 1/3, 5
Let g(v) be the first derivative of -v**8/168 + v**6/30 - v**4/12 + v**2 - 8*v - 72. Let o(f) be the second derivative of g(f). Let o(y) = 0. Calculate y.
-1, 0, 1
Let y(q) = 19*q**2 - 1045*q + 1071. Let s(m) = -69*m**2 + 3657*m - 3750. Let u(h) = 5*s(h) + 18*y(h). Factor u(f).
-3*(f - 1)*(f + 176)
Determine o so that 424*o - 65817*o**2 - 97*o + 65810*o**2 + 94 = 0.
-2/7, 47
Suppose 29*g - 72 = 25*g. Let w be -2 - 9/(g/(-8)). Let -19*q + 4*q - 25*q**3 - 78*q**2 + 38*q**w = 0. What is q?
-1, -3/5, 0
Let w(l) be the second derivative of 5*l**4/12 - 2230*l**3 + 4475610*l**2 - 4238*l. Let w(j) = 0. Calculate j.
1338
Let g(h) = -75*h - 117. Let w be g(-2). Let 12*v + 7*v**4 + 288 - 118*v**3 - 2*v**5 - 190*v**2 + 3*v - 33*v**4 + w*v = 0. What is v?
-4, -3, 1
Let w be (-1 + 4)*4/(-12). Let g be w/(-2)*7*4/21. Determine l, given that -50/3 - g*l**2 + 20/3*l = 0.
5
Let c(k) be the third derivative of 1/105*k**7 + 1/12*k**6 - 5/12*k**4 + 0*k + 0 - 4/3*k**3 + 1/10*k**5 - 47*k**2. Determine i, given that c(i) = 0.
-4, -1, 1
Let n(p) be the second derivative of 121*p**4/30 + 176*p**3/5 + 576*p**2/5 + 64*p. What is o in n(o) = 0?
-24/11
Let d be 25 - 42 - (-1068)/60. Solve 3/5*u**2 + 1/5 + d*u = 0 for u.
-1, -1/3
Let v(i) = 13*i**2 + 438*i - 316. Let u(y) = -7*y**2 - 226*y + 158. Let d(q) = 9*u(q) + 5*v(q). Solve d(k) = 0.
-79, 1
Let f(z) = -z + 17. Let s be f(20). Let p(w) = -w**4 - w**3. Let l(v) = -2*v**3 + 6*v**2 + 8*v. Let x(y) = s*l(y) - 3*p(y). Let x(b) = 0. Calculate b.
-4, -1, 0, 2
Let h(y) = -2219*y - 35500. Let t be h(-16). What is u in 56/3*u**2 - 6*u**3 + 2/3*u**t - 24*u + 32/3 = 0?
1, 2, 4
Let r = -303/2 + 152. Let t = 9503/3000 + -1/1000. Solve 0 - 3/2*m - 11/2*m**2 - t*m**3 - r*m**4 = 0 for m.
-3, -1/3, 0
Let h(x) be the second derivative of -5 + 5/42*x**4 + 1/140*x**5 + 4*x + x**2 + 23/42*x**3. Factor h(j).
(j + 1)*(j + 2)*(j + 7)/7
Suppose 0 = 4*o + 3*i - 26, -o - 4*i + 8 = o. Let t be (-30)/(-90)*o/4. Find j, given that -20/9*j - 2/3 - t*j**2 = 0.
-3, -1/3
Let u(d) = 135*d**3 - 3480*d**2 + 4860*d + 3470. Let v(q) = -8*q**3 + 205*q**2 - 286*q - 204. Let s(f) = 2*u(f) + 35*v(f). Factor s(a).
-5*(a - 20)*(a - 2)*(2*a + 1)
Suppose 0 = -2*c + 2*q - 4, 4*c + 3*q + q - 16 = 0. Suppose 0 = k - 4*t + c, -3*k = -0*k + 2*t - 11. Solve 1 - 5*w**k - 1 - 3*w**5 + 8*w**3 = 0 for w.
-1, 0, 1
Let o = 15137 + -15137. Let t(a) be the second derivative of o*a**6 + 4/3*a**4 + 0 + 1/21*a**7 - a**3 - 13*a - 3/5*a**5 + 0*a**2. Factor t(l).
2*l*(l - 1)**3*(l + 3)
Let s(c) be the second derivative of c**7/21 - 4*c**6/5 - 13*c**5/10 - 2808*c. Factor s(b).
2*b**3*(b - 13)*(b + 1)
Let s(r) be the third derivative of 7/216*r**4 - 1 + 1/540*r**5 + 0*r - 1/3*r**3 - 7*r**2. Factor s(n).
(n - 2)*(n + 9)/9
Let j(f) be the first derivative of f**6/2 - 2154*f**5/5 + 95034*f**4 + 777584*f**3 + 2350104*f**2 + 3145056*f + 3025. Factor j(w).
3*(w - 362)**2*(w + 2)**3
Let w(i) be the third derivative of i**5/270 - 28*i**4/27 + 220*i**3/27 + 91*i**2. Determine p, given that w(p) = 0.
2, 110
Factor 2/7*f**3 - 4*f**2 - 108/7 + 102/7*f.
2*(f - 9)*(f - 3)*(f - 2)/7
Suppose -2/9*l**3 + 0 + 0*l + 2/9*l**4 - 4/3*l**2 = 0. Calculate l.
-2, 0, 3
Let b = -5789 + 75261/13. Let u be (-15)/((-225)/66) - 6/(-10). Suppose 6/13 - 2/13*z**4 + 2/13*z**u - b*z**2 + 10/13*z - 12/13*z**3 = 0. Calculate z.
-1, 1, 3
Let z(b) be the first derivative of -3*b**4/20 - 82*b**3/5 - 85. What is h in z(h) = 0?
-82, 0
Suppose 0 = -12*o + 13*o - 13. Suppose 16 = -5*d + o*d. What is f in 12*f**d + 14*f**4 - 21 - 20*f**4 + 3*f**5 + 12*f + 21 - 9*f**3 = 0?
-1, 0, 2
Let n(h) = -18*h - 447. Suppose 58 = -2*l + 2*o, 0 = -4*l - 3*o + 6*o - 112. Let u be n(l). Solve 1/2 - 1/6*x**u + 5/6*x + 1/6*x**2 = 0.
-1, 3
Let n(s) be the first derivative of s**6/15 + 43*s**5/5 + 1849*s**4/6 - 6*s - 159. Let v(d) be the first derivative of n(d). Solve v(i) = 0.
-43, 0
Determine a so that -588 - 134/3*a - 2/3*a**2 = 0.
-49, -18
Let -4132*t**3 - t**4 - 1032 + 246*t**2 + 1247*t**3 + 4*t**4 + 1340*t**3 + 1284*t**3 + 1044*t = 0. Calculate t.
-2, 1, 2, 86
Suppose 5 = 6*p - 7. Determine r, given that 112*r - 314 - 502 - 4*r**p + 32 = 0.
14
Let j(o) be the first derivative of o**6/2340 + 4*o**5/195 - 3*o**4/13 + 109*o**3/3 + 4. Let g(u) be the third derivative of j(u). Determine n so that g(n) = 0.
-18, 2
Let q(j) be the first derivative of -45 + 4/3*