1, 1/4, 1
Factor -80*i**3 - 36*i**4 + 1540*i**2 + 3*i**5 + 36*i + 161*i**3 - 1633*i**2 + 9*i**4.
3*i*(i - 4)*(i - 3)*(i - 1)**2
Let k be 69989/138 + 2*3. Let i = 514 - k. Determine d so that i*d + 0 + 1/2*d**2 = 0.
-5/3, 0
Let k(x) = 25*x**2 + 24*x + 62. Let z be k(-3). Let h = -212 + z. Factor -2/7*n - 2/7*n**h + 4/7*n**2 + 0.
-2*n*(n - 1)**2/7
Let a = -5613/5 + 1123. Let s = -1053 + 1055. Suppose a*y**2 + s - 12/5*y = 0. What is y?
1, 5
Let l(b) be the first derivative of 21/2*b**2 - 117 + 0*b + 9/4*b**4 - 22*b**3. Let l(q) = 0. Calculate q.
0, 1/3, 7
Factor 8 - 2*j**3 - 56/3*j + 34/3*j**2.
-2*(j - 3)*(j - 2)*(3*j - 2)/3
Let -13*o + 647*o**4 + o**5 - 22*o + 68*o**2 + 655*o**4 - 1306*o**4 - 30*o**3 = 0. What is o?
-5, 0, 1, 7
Let m(w) = 12*w**2 - 1. Let q(p) = -31*p**2 + 720*p - 3722. Let n(y) = -3*m(y) - q(y). Factor n(c).
-5*(c - 5)*(c + 149)
Let j = 157 - 1403/9. Let v = -3684 + 33160/9. Find q, given that 0*q + 0 - j*q**4 - v*q**2 + 14/9*q**3 = 0.
0, 2/5, 1
Suppose -297*n = 225*n - 424*n. Factor 2/9*s**2 + 0*s + n.
2*s**2/9
Suppose 1150884*b - 1150902*b = -72. Determine v, given that -b + v**2 - 23/3*v + 2/3*v**3 = 0.
-4, -1/2, 3
Let i be 3/(3/4) + 1. Find y such that 193*y**3 + 5*y**i - 112*y**3 - 101*y**3 - 10*y**2 + 10 + 15*y = 0.
-1, 1, 2
Factor 257 + 405*r**2 + 626*r**3 - 2271*r**2 - 529 + 1862*r - 348 - 2*r**4.
-2*(r - 310)*(r - 1)**3
Find s, given that 3/4*s**2 + 237/4*s - 249 = 0.
-83, 4
Suppose 981 = 10*s - 939. Determine i so that -s - 800*i - 29*i**2 + 140*i**3 - 128 + 41*i**2 - 25*i**4 + 48*i**2 = 0.
-2, -2/5, 4
Let v be 30 - (23 - 6) - (2 + 10). Factor 3/5*g**2 - v + 1/10*g**3 + 3/10*g.
(g - 1)*(g + 2)*(g + 5)/10
Let l(x) = -x**3 + 69*x**2 - 534*x - 352. Let j be l(60). Factor -4/5 + 26/5*f + 18/5*f**3 - j*f**2.
2*(f - 1)**2*(9*f - 2)/5
Suppose 593*u - 164*u - 1287 = 0. Factor u - 9/2*i + 0*i**2 + 3/2*i**3.
3*(i - 1)**2*(i + 2)/2
Let s(t) be the third derivative of -t**6/180 + 11*t**5/90 - 7*t**4/18 - 80*t**3/9 + 24*t**2 - 28*t. Factor s(c).
-2*(c - 8)*(c - 5)*(c + 2)/3
Let x(z) = -35*z**3 - 50*z**2 - 165*z + 30. Let a(s) = s**3 + 2*s - 1. Let d = 10 + -40. Let k(g) = d*a(g) - x(g). Determine q, given that k(q) = 0.
-7, -3, 0
Let j(a) be the second derivative of -63*a**6/50 - 4413*a**5/100 - 2139*a**4/10 - 568*a**3/5 + 144*a**2 + 14*a + 31. Solve j(z) = 0.
-20, -3, -4/7, 2/9
Let q(w) be the second derivative of -w**6/30 + 18*w**5/5 - 683*w**4/6 + 420*w**3 - 1225*w**2/2 + 692*w. Determine d so that q(d) = 0.
1, 35
Let t = -284 + 288. Factor 10*i - 26*i**3 - 126*i**t + 132*i**4 - 12 - 12*i**2 + 19*i**2 + 15*i**2.
2*(i - 3)*(i - 1)**2*(3*i + 2)
Let s(i) = i**3 - 24*i**2 - 15*i + 360. Let o be s(24). Determine c, given that -1/2*c**5 - 27*c**3 - 46*c**2 - 28*c + o - 13/2*c**4 = 0.
-7, -2, 0
Factor -88121125/4 + 594075/4*n - 1335/4*n**2 + 1/4*n**3.
(n - 445)**3/4
Let d(u) be the second derivative of -u**6/6 - 8*u**5 - 305*u**4/12 - 25*u**3 + 2*u - 37. Find y such that d(y) = 0.
-30, -1, 0
Let f = -81 - -87. Let p(h) = 3*h**3 - 11*h**2 + 34*h - 19. Let r(k) = -3*k**3 + 12*k**2 - 33*k + 18. Let i(m) = f*p(m) + 7*r(m). Factor i(s).
-3*(s - 4)*(s - 1)**2
Let r be (0 + 7)/(-11 - 320/(-24)). Let f be (((-98)/63)/7)/(r/(-6)). Factor 2/9 + 2/9*c**2 + f*c.
2*(c + 1)**2/9
Find k, given that -164735/4*k - 3/4*k**3 - 55225/2 + 352*k**2 = 0.
-2/3, 235
Let i(x) be the third derivative of x**6/300 - 8*x**5/75 + 17*x**4/20 - 12*x**3/5 + 1616*x**2. Factor i(p).
2*(p - 12)*(p - 3)*(p - 1)/5
Determine o so that 84*o + 205*o**2 + 5*o**5 + 120 - 192*o**3 - 67*o**4 + 427*o**3 + 2*o**4 - 394*o - 190*o**3 = 0.
-2, 1, 12
Let q(d) be the first derivative of -160*d - 184*d**2 + 2/3*d**6 + 167 - 280/3*d**3 + 8/5*d**5 - 17*d**4. Factor q(k).
4*(k - 5)*(k + 1)*(k + 2)**3
Let c(s) be the first derivative of -275 + 7744*s + 100/3*s**3 - 880*s**2. Factor c(a).
4*(5*a - 44)**2
Let b(r) be the third derivative of -r**7/2940 + r**6/1260 + r**5/210 + 101*r**3/6 + 164*r**2. Let o(g) be the first derivative of b(g). Factor o(v).
-2*v*(v - 2)*(v + 1)/7
Let d(g) = 6*g - 8. Let t be d(3). Let c be t/((-140)/(-18)) + 4/(-14). Let z(m) = -1. Let r(n) = -n**3 + n - 1. Let v(i) = c*z(i) - r(i). Factor v(f).
f*(f - 1)*(f + 1)
Let k(s) be the third derivative of -s**5/20 - 7*s**4/8 + 85*s**3 + 5*s**2 + 354*s + 2. Determine q so that k(q) = 0.
-17, 10
Let l = 296337 + -296297. Determine v, given that -l*v - 104/9 + 14/9*v**2 = 0.
-2/7, 26
Suppose -4410944/9*m + 90424352/9 + 2/9*m**4 + 26896/3*m**2 - 656/9*m**3 = 0. What is m?
82
Let w = 16 - 6. Suppose -w*r = -7*r - 9. Solve i**3 - 6*i**r + 0*i**3 + 5*i**2 = 0.
0, 1
Let 26/15*i**4 + 4/3*i + 62/15*i**2 + 22/5*i**3 + 2/15*i**5 + 0 = 0. What is i?
-10, -1, 0
Let s(f) be the first derivative of -25/8*f**2 - 10/3*f**3 - 1/2*f**5 - 3/2*f - 15/8*f**4 - 1/24*f**6 + 11. Suppose s(a) = 0. What is a?
-6, -1
Let d(q) be the second derivative of q**7/336 + q**6/30 + 13*q**5/160 - 13*q**4/48 - 4*q**3/3 - 2*q**2 + 1299*q - 2. What is n in d(n) = 0?
-4, -1, 2
Let y be (-25)/((100/(-255))/10 + (-7590)/1530). Factor -3*q**3 + 9/2*q**2 + 3/8*q**y + 0 + 0*q - 3/8*q**4.
3*q**2*(q - 2)**2*(q + 3)/8
Let k(w) = -266*w + 7. Let l be k(-1). Let u = 1369/5 - l. Let 0 - u*d - 6/5*d**2 + 2/5*d**4 + 0*d**3 = 0. Calculate d.
-1, 0, 2
Let u be 8/3*(-51 - -54). What is d in -3*d + u*d + d**3 + 4*d**2 - 4*d - 2*d**2 = 0?
-1, 0
Let y be (112/20)/(1183/6760). Let o(h) be the first derivative of -36 - y*h + 14*h**2 + 4/3*h**3. Factor o(i).
4*(i - 1)*(i + 8)
Suppose -10*g - 8 = -28. Factor -15*s + 10*s**g - 3*s + 3*s + 6*s**3 + 5*s**3 - 6*s**3.
5*s*(s - 1)*(s + 3)
Let x(l) be the second derivative of -10/21*l**7 + 8/3*l**3 + 0*l**4 - 129*l + 0 - 17/5*l**5 + 0*l**2 - 12/5*l**6. Find u such that x(u) = 0.
-2, -1, 0, 2/5
Let q be ((-8)/(-3) + -2)*45/60. Let y(v) be the first derivative of 0*v + 12 + q*v**3 + 0*v**2. Let y(k) = 0. What is k?
0
Let v be (-806)/6 + 1 - 110/165. Let m be v/(-56) - (-14)/(-98). What is a in -3/4*a**2 + 9/4*a**3 - 3/4*a**4 + 3/2 - m*a = 0?
-1, 1, 2
Solve 0 - 46/3*x**4 + 2/3*x**5 - 14*x**2 + 0*x + 86/3*x**3 = 0 for x.
0, 1, 21
Suppose 3*n + 3*b - 317 - 379 = 0, 2*b - 1145 = -5*n. Factor -6*w**2 - n*w + 2*w**2 - 8 + 239*w.
-4*(w - 2)*(w - 1)
Let k(v) = -4*v**4 - 20*v**3 - 6*v**2 - 4*v - 2. Let b(r) = 9*r**4 + 42*r**3 + 14*r**2 + 10*r + 3. Let p(o) = -6*b(o) - 13*k(o). Find h, given that p(h) = 0.
-1, 1, 2
Suppose -4*c + 517*w + 8 = 512*w, 5*c - w = 10. Solve -99/2*g**c - 35937/2 - 1/2*g**3 - 3267/2*g = 0.
-33
Suppose -61*t + 77*t = 6288. Let u = t + -1178/3. Find j, given that u*j**5 + 1/3*j**4 - 1/3*j**3 + 0*j + 0 - 1/3*j**2 = 0.
-1, 0, 1
Factor 72/5 - 1896/5*f + 12482/5*f**2.
2*(79*f - 6)**2/5
Find h such that -1748/11*h - 2/11*h**5 - 458/11*h**2 + 14*h**4 + 486/11*h**3 - 960/11 = 0.
-3, -1, 2, 80
Factor t**3 - 57*t + 54*t - 24*t + 54.
(t - 3)**2*(t + 6)
Let f(h) = 0*h**3 + 8*h**2 + 3 + h**3 - 15*h**2 - 3 - 3. Let s(x) = -x**3 + 1. Let j(k) = -f(k) - 3*s(k). Factor j(b).
b**2*(2*b + 7)
Let r(w) = -56*w**2 - 15 + 68*w**2 + 0 + w**3 - 16*w + 2*w**3 - 2*w**3. Let h be r(-13). Factor 4*x - 16/3*x**2 - 4/3*x**3 + h.
-4*(x - 2)*(x + 3)**2/3
Factor 195*m**3 + 159430*m + 1798*m**2 + 5*m**4 + 2*m**2 - 161430*m.
5*m*(m - 1)*(m + 20)**2
Let c be 0*(4 - (0 - -5))/(-1). Find z such that c*z - 2*z - 8080*z**2 + 8081*z**2 = 0.
0, 2
Let y(u) = 2*u**2 + 11*u + 15. Let k be y(-6). Suppose -5*r - 11 = 2*x, 0 = 4*x - x - 5*r - k. Determine v so that 42 + 2*v**x + 18*v + v**2 - 27 = 0.
-5, -1
Let y be (-12)/(-21)*(-13 - 363/(-22)). Let m = -1/9 - -23/45. Suppose 1/5 - m*h + 1/5*h**y = 0. What is h?
1
Let w(j) be the third derivative of -j**5/240 + 2273*j**4/48 - 5166529*j**3/24 + 227*j**2 + 2*j - 1. Factor w(x).
-(x - 2273)**2/4
Suppose 20 - 6 = 7*d. Suppose d*w = -w + 6. Factor -9*q**3 + 20*q**2 - 32*q**w + 5*q**3 - 12*q - 4.
-4*(q + 1)**3
Let o(t) be the first derivative of t**4/42 + 82*t**3/21 - t**2/21 - 82*t/7 - 8007. Solve o(b) = 0.
-123, -1, 1
Let l(t) be the third derivative of t**5/240 + t**4/24 + t**3/8 - 2489*t**2. Factor l(a).
(a + 1)*(a + 3)/4
Let j(o) be the second derivative of -3*o**5/40 - 143*o**4/72 - 67*o**3/18 - o + 1622. Find z, given that j(z) = 0.
-134/9, -1, 0
Let u(w) = -38*w**2 - 28*w + 114. Let q(j) = 48*j**2 + 27*j - 115. Let i(h