.
-1, 0, 8
Solve -6 - 51*x**2 - 4071*x**3 + 4014*x**3 + 120*x - 6 = 0.
-2, 2/19, 1
Let j(v) be the first derivative of v**6/420 - v**5/70 - v**4/21 + 4*v**3/7 + 223*v**2/2 + 13. Let n(l) be the second derivative of j(l). Factor n(o).
2*(o - 3)*(o - 2)*(o + 2)/7
Let f(m) be the second derivative of 5*m**4/12 + 85*m**3 + 500*m**2 - 4440*m. Find t such that f(t) = 0.
-100, -2
Let a be (20/(-24) + 1)/((-8)/(-96)). Let m = 18/5 + -44/15. Find v, given that -2/3*v**a - m*v + 4 = 0.
-3, 2
Let s(f) be the first derivative of -11*f**3/15 + 4*f**2/5 + 3*f/5 + 1029. Factor s(a).
-(a - 1)*(11*a + 3)/5
Let f(z) be the first derivative of -z**6/51 + 14*z**5/85 + 15*z**4/17 + 8*z**3/51 - 40*z**2/17 - 1034. What is i in f(i) = 0?
-2, 0, 1, 10
Factor -5/8*l - 3 + 1/8*l**2.
(l - 8)*(l + 3)/8
Solve 4/7*u**2 + 0 + 120/7*u = 0 for u.
-30, 0
Let d(a) be the third derivative of -a**6/90 + 4*a**5/45 - a**4/6 - 851*a**2. Suppose d(j) = 0. Calculate j.
0, 1, 3
Let s(v) = -290*v**3 - 365*v**2 + 8305*v + 26970. Let q(p) = 21*p**3 + 26*p**2 - 593*p - 1926. Let x(j) = -55*q(j) - 4*s(j). Let x(d) = 0. What is d?
-13, -3, 10
Let s = -13 - -13. Let p be ((-533)/(-26) + -14)*(-7)/(-91). Factor s + p*h**3 - 1/2*h**2 + 0*h.
h**2*(h - 1)/2
Let l(v) be the second derivative of v**4/72 - 3*v**3/2 + 26*v**2/3 - 3503*v. Factor l(p).
(p - 52)*(p - 2)/6
Let f(p) be the third derivative of 23*p**8/1848 - 94*p**7/1155 + 7*p**6/60 + 43*p**5/165 - 25*p**4/33 + 8*p**3/33 + 984*p**2. Determine c, given that f(c) = 0.
-1, 2/23, 1, 2
Let x(n) be the first derivative of 4*n**5/45 + 20*n**4/9 + 196*n**3/9 + 104*n**2 + 240*n - 87. Find r, given that x(r) = 0.
-6, -5, -3
Suppose n + 3*y - 17 = 0, y - 29 = 2*n - 7*n. Let i = 9 - n. Determine h, given that -4 + 35*h**2 + 64 - 17*h + 10*h**3 - 83*h - 5*h**i = 0.
-3, 1, 2
Solve 148 - 328*d + d**2 - 147 - 127 - 203 = 0.
-1, 329
Suppose -3*y + 7*y = -72. Let u = y - -27. Let i(b) = b**2 + 7*b - 9. Let z(l) = 2*l - 2. Let x(r) = u*z(r) - 2*i(r). Determine q so that x(q) = 0.
0, 2
Let y(z) be the first derivative of 90 - 36/11*z + 19/11*z**2 - 2/33*z**3. Determine s, given that y(s) = 0.
1, 18
Let t be 156/30 - (-3)/(45/(-3)). Solve 10*o**2 + 10*o**3 - 240*o**4 + 235*o**4 - t*o**3 = 0.
-1, 0, 2
Let u(i) = 18*i**2 + 6*i + 6. Let y be u(-1). Factor -15 + y + 4 + 30 + 8 + 5*m**2 - 30*m.
5*(m - 3)**2
Suppose 0 = 6*g + 53 - 77. Factor g*q**3 - 91*q**2 + 103*q**2 + 3*q**5 - 12*q + 5*q**3 - 12*q**4.
3*q*(q - 2)**2*(q - 1)*(q + 1)
Let g(f) = f**2 - 17*f + 75. Let y be g(10). Factor 12*w**4 + 1109*w**3 + 4*w**2 + 3*w**y - 16 - 5*w**5 - 30*w - 1077*w**3.
-2*(w - 8)*(w - 1)*(w + 1)**3
Suppose 117*u**2 + 15*u**4 + 63*u**3 - 9*u**2 + 28*u**3 + u**5 - 19*u**3 = 0. What is u?
-6, -3, 0
Factor -5*n - 1/4*n**2 + 0.
-n*(n + 20)/4
Let u be (-1428)/(-765) + 4/30. Find d such that u + 139*d - 28*d**2 - 2 - 123*d = 0.
0, 4/7
Let v(d) be the third derivative of -3*d**6/8 + 13*d**5/20 + 23*d**4/8 - 5*d**3/2 + 6613*d**2. What is g in v(g) = 0?
-1, 1/5, 5/3
Suppose -9*j + 11*j - 18 = 0. Let q be (-27)/j - (-201)/21. Determine s so that 8/7 - 33/7*s**3 - 12/7*s - q*s**2 - s**4 = 0.
-2, -1, 2/7
Let l = 763 - 743. Suppose 14*k + l*k - 28*k = 0. Solve k*h + 0*h**2 - 3/4*h**4 - 3/4*h**3 + 0 = 0.
-1, 0
Factor -2*i**2 + 5*i**2 - 656 + 640*i - 1186 - 7*i**2 - 42.
-4*(i - 157)*(i - 3)
Suppose -2*h = -2*a + 4, 4*h - 1 - 11 = 0. Let s be (4/(-8))/(4/(-40)). Factor -3*w**4 - 48*w + 48 + 12*w**3 - a*w + s*w.
-3*(w - 2)**3*(w + 2)
Let f = 1 + 2. Suppose 89*i - 1553 - 6101 = 0. Solve -w - 5*w - i*w**f + 3*w + 6*w**2 + 83*w**3 = 0 for w.
0, 1
Let g(n) be the first derivative of -n**4/20 - 31*n**3 - 53823*n**2/10 + 54289*n/5 + 386. Factor g(o).
-(o - 1)*(o + 233)**2/5
Let g(m) be the third derivative of m**6/30 + 11*m**5/15 - 121*m**4/6 - 2662*m**3/3 - 2671*m**2. Factor g(c).
4*(c - 11)*(c + 11)**2
Let x = 442 - 192. Factor -964*b**3 - 4972*b**4 - 35*b**5 + 189*b**3 + x*b**2 + 4632*b**4.
-5*b**2*(b + 5)**2*(7*b - 2)
Let y(z) be the third derivative of 7*z**7/6 - 2065*z**6/6 + 87613*z**5/3 - 41300*z**4 + 23520*z**3 - 39*z**2 + 22. Let y(f) = 0. What is f?
2/7, 84
Let p(o) be the third derivative of 605*o**6/96 - 3047*o**5/48 + 551*o**4/96 - 5*o**3/24 + 2358*o**2. Solve p(z) = 0.
1/55, 5
Suppose -17 - 3 = -2*r - 3*c, r = -3*c + 16. Suppose r*q + 22 = 5*h, -3*h - 3*q - 1 = h. Factor -3 - 1/4*b**3 + h*b + 1/4*b**2.
-(b - 2)**2*(b + 3)/4
Suppose 0 = -92*o + 25*o + 16*o + 32*o. Let i(k) be the first derivative of 1/2*k**4 - k**2 + 0*k + 17 + o*k**3. Factor i(q).
2*q*(q - 1)*(q + 1)
Let d(h) be the third derivative of h**7/315 + 11*h**6/90 + 7*h**5/6 - 88*h**4/9 - 1936*h**3/9 - 16*h**2 + 3*h - 8. Let d(o) = 0. Calculate o.
-11, -4, 4
Let l be 30/(-1440)*12*2/(-8). Let g(d) be the second derivative of l*d**4 + 1/168*d**7 - 1/40*d**6 + 1/80*d**5 - 1/12*d**3 - 3*d + 0 + 0*d**2. Factor g(w).
w*(w - 2)*(w - 1)**2*(w + 1)/4
Factor -2576/5*y**2 + 4/5*y**4 + 2592/5*y + 0 + 632/5*y**3.
4*y*(y - 2)**2*(y + 162)/5
Suppose -9*z - 43 = 4*z - 82. Find s such that -8/3 - 1/3*s**2 + z*s = 0.
1, 8
Suppose -14/3 + 92/9*h + 2/9*h**4 + 4/9*h**3 - 56/9*h**2 = 0. Calculate h.
-7, 1, 3
Suppose 4*z - 16 = 0, -5*z + 97 = -2*a - 3. Let i be (-48)/(-5) + 24/a. Solve 16 + 8*w**2 - i*w**2 - 21*w**3 - 11*w**2 - 4 + 21*w = 0.
-1, -4/7, 1
Let 2/3*j**4 - 7996/21*j + 1534/21*j**2 - 800/7 + 424/21*j**3 = 0. What is j?
-25, -8, -2/7, 3
Let x(u) be the third derivative of -u**6/40 + 951*u**5/10 - 301467*u**4/2 + 127420052*u**3 + 12*u**2 - 5*u. Factor x(r).
-3*(r - 634)**3
Suppose -29 = -l + 5*l - 3*p, 4*p + 31 = -l. Let y(m) = -16*m**2 - 20*m - 20. Let k(u) = -3*u**2 - 4*u - 4. Let s(f) = l*k(f) + 2*y(f). Factor s(i).
(i + 2)**2
Factor 1810/3*i + 590/3*i**3 + 5/3*i**4 - 600*i**2 - 605/3.
5*(i - 1)**3*(i + 121)/3
Suppose o - 9 = 3*m + 39, 162 = 4*o + 3*m. Find h, given that -9*h**3 - 126*h**2 - 15*h**2 - 528*h - o + 58 + 176 = 0.
-8, 1/3
Let b(m) = -3*m**2 + 3*m + 89. Let v be b(0). Suppose v*y = 90*y. Factor -5/4*o + y - 1/4*o**2.
-o*(o + 5)/4
Let o(y) = y**2 - 7*y. Suppose -5*h + 9*h + 3*k = 0, 0 = -4*k. Let m be o(h). Let 0 + 1/9*s**2 - 1/3*s**3 + 1/3*s**4 + m*s - 1/9*s**5 = 0. Calculate s.
0, 1
Let p(j) be the second derivative of j**6/24 + j**5/6 - 5*j**4/8 - 175*j**2/2 - 7*j + 1. Let m(v) be the first derivative of p(v). Factor m(a).
5*a*(a - 1)*(a + 3)
Suppose 3 = -6*f + 3*f. Let d be 3*-2*f - 0. Suppose 10*i + d*i**4 - 6*i**4 + 5*i**3 + 15*i**5 - 25*i**2 + 25*i**4 - 30*i**3 = 0. Calculate i.
-2, -1, 0, 1/3, 1
Let o(i) be the second derivative of -i**4/12 + 19*i**3/3 - 36*i**2 - 520*i. Factor o(t).
-(t - 36)*(t - 2)
Let v(k) = k**3 + k**2 - 2*k - 2. Let g be v(-1). Suppose 9*u - 10*u + 15 = g. Factor -5*d**2 - 25*d**4 + 5*d**2 - u*d**2 + 40*d**3.
-5*d**2*(d - 1)*(5*d - 3)
Suppose 645*i = 711*i - 1980. Let u(d) be the second derivative of i*d + 2/105*d**6 + 0*d**2 + 0*d**4 + 1/7*d**5 + 0 + 0*d**3. Solve u(l) = 0.
-5, 0
Let h = -308547 + 308547. Determine z so that 11/2*z - 1/2*z**2 + h = 0.
0, 11
Let k(y) = -1. Suppose -224 = -3*f + x, -298 = -4*f - 3*x + 5*x. Let z(m) = 6 + 153*m**2 - f*m**2 - 79*m**2. Let u(b) = -6*k(b) - 3*z(b). What is t in u(t) = 0?
-2, 2
Suppose 2/7*j**2 + 4852/7 + 4854/7*j = 0. What is j?
-2426, -1
Suppose 45*o + 690 = 129*o + 146*o. Let 20/3*m**o + 4/3*m - 8/3*m**4 - 16/3*m**2 + 0 = 0. What is m?
0, 1/2, 1
Let g(s) = 20*s**2 + 50*s. Let u be (570/(-8))/5 - (-9)/(-12). Let y(i) = i**2 + i. Let x(b) = u*y(b) + g(b). Determine f so that x(f) = 0.
-7, 0
Factor -447*c + 202*c**2 + 273*c**2 - 813*c**2 - 294 - 3*c**3 + 182*c**2.
-3*(c + 1)*(c + 2)*(c + 49)
Suppose 0 = 94*k - 0*k + 147956. Let v = 14170/9 + k. Determine i, given that -v*i**2 + 2/9*i**3 - 2/9*i + 4/9 = 0.
-1, 1, 2
Let p be (-1)/(-1)*(40 + 1). Let u = p + -37. Find j, given that -8*j**4 - 18*j**3 - 3*j**5 - 3*j**4 - j**u - 3*j**4 = 0.
-3, -2, 0
Let w(t) be the first derivative of -3*t**4/20 + 16*t**3/5 + 33*t**2/2 + 114*t/5 - 4597. Determine s, given that w(s) = 0.
-2, -1, 19
Let z(m) be the third derivative of -m**7/1050 + m**6/60 + 13*m**5/75 + 7*m**4/15 - 1140*m**2. Factor z(t).
-t*(t - 14)*(t + 2)**2/5
Let -6630 - 207*c - 4*c**2 - 247*c + c**2 - 21*c - 2*c**2 = 0. What is c?
-78, -17
Let t be (2 - (-3)/(-2))/(43 - (-1881)/(-44)). What is v in -2