
Let y(t) = -14*t + t + 29 - 19*t + 2 + 227. Let m be y(8). Factor 0 + 1/7*l + 0*l**4 + 1/7*l**5 + 0*l**m - 2/7*l**3.
l*(l - 1)**2*(l + 1)**2/7
Let t(z) = z**2 - z + 6. Let v be t(0). Find c such that -108*c**3 - 16*c + 5*c**5 + 46*c**4 + 14*c**2 - v*c**2 + 5*c**5 + 168*c**3 = 0.
-2, -1, 0, 2/5
Let c(g) = 2*g**2 - 3*g + 2. Let x(a) = 23*a**2 + 5*a + 30. Let y(o) = -18*c(o) + 2*x(o). Factor y(q).
2*(q + 6)*(5*q + 2)
Let o(k) be the second derivative of k**4/6 - 1498*k**3/3 + 561001*k**2 + 33*k - 23. Factor o(w).
2*(w - 749)**2
Let v(y) = 3*y**3 - 336*y**2 + 2811*y + 10. Let i(d) = -4*d**3 + 336*d**2 - 2810*d - 12. Let h(r) = -5*i(r) - 6*v(r). Factor h(m).
2*m*(m - 8)*(m + 176)
Suppose 0 = -3*n + 11*n - 96. Factor -23*g**3 + 0*g**4 + 3*g**4 - 6*g + 9 + 29*g**3 - n*g**2.
3*(g - 1)**2*(g + 1)*(g + 3)
What is g in 12918*g**3 + 227 - 69*g**2 - 227 - 810*g - 12919*g**3 = 0?
-54, -15, 0
Let o(y) be the second derivative of -33*y + 27/5*y**2 - 1/20*y**4 - 17/10*y**3 + 0. Find s, given that o(s) = 0.
-18, 1
Suppose 776*c + 4*v = 777*c - 18, 3*c + v = 2. Let x(s) be the first derivative of 0*s + 1/2*s**c + 7 + 5/6*s**3. Factor x(o).
o*(5*o + 2)/2
Suppose 18*j + 4*q = 13*j + 415, 4*q = -j + 83. Suppose 160*n**3 + 6*n**2 - j*n**3 - 75*n**3 - 8*n**4 = 0. Calculate n.
-3/4, 0, 1
Suppose 0 = 858*d + 2001*d - 11436. Factor 0*g + 22/9*g**3 - 2*g**5 + 0 + 8/3*g**d + 4/9*g**2.
-2*g**2*(g - 2)*(3*g + 1)**2/9
Factor 1/4*t**4 - 297/2 + 13/4*t**3 - 623/4*t**2 + 1203/4*t.
(t - 18)*(t - 1)**2*(t + 33)/4
Let z be 24/(-10) - -2 - (-610)/25. Let u = 29 - z. Factor -2*r**2 - 2*r**2 - 29*r + u*r**2 + 4 + 24*r.
(r - 4)*(r - 1)
Suppose 2834*v + 104 = 2860*v. Let c(b) be the second derivative of 1/36*b**v + 5/3*b**3 + 75/2*b**2 - 12 + 2*b. Determine j so that c(j) = 0.
-15
Let p(j) be the first derivative of -58 + 13/5*j + 1/25*j**5 - 6/5*j**2 + 3/5*j**4 - 14/15*j**3. Factor p(y).
(y - 1)**2*(y + 1)*(y + 13)/5
Let p(z) be the first derivative of 14*z**2 - 20 + 1/18*z**3 + 0*z - 1/36*z**4 + 1/180*z**5. Let i(c) be the second derivative of p(c). Solve i(d) = 0.
1
Suppose -4152 = -6798*h + 5760*h. Factor -33*d**h + 168/5*d**3 + 0*d - 36/5*d**2 + 0 - 15*d**5.
-3*d**2*(d + 3)*(5*d - 2)**2/5
Let m(g) be the first derivative of g**3/2 - 309*g**2 + 1233*g/2 + 285. What is u in m(u) = 0?
1, 411
Let y(x) = -28*x**3 - 1008*x**2 - 52*x + 908. Let s(k) = -4*k**3 - 144*k**2 - 8*k + 129. Let n(q) = 20*s(q) - 3*y(q). Solve n(h) = 0.
-36, -1, 1
Factor -4/7*y**2 + 340/7*y - 984/7.
-4*(y - 82)*(y - 3)/7
Let s be -2 - (-925034)/1001 - -2. Let p = s - 6374/7. Determine v so that 32/13 - p*v + 242/13*v**2 = 0.
4/11
Let y be (-8176)/308 + 26 + (-98)/(-77). Factor -8/11*d - y - 2/11*d**2.
-2*(d + 2)**2/11
Suppose 6*f = 17*f - 9174. Let 6*p - f + 834 - 2*p**2 = 0. What is p?
0, 3
Let l(t) be the third derivative of t**6/60 - 251*t**5/30 - 127*t**4/6 + 168*t**3 - 2037*t**2 + 2*t. Determine r, given that l(r) = 0.
-2, 1, 252
Let d(p) be the first derivative of -p**6/3 - 67*p**5/10 - 81*p**4/2 - 583*p**3/6 - 221*p**2/2 - 60*p + 141. Determine o, given that d(o) = 0.
-10, -4, -1, -3/4
Let z = -7/62044 + 4467287/1054748. Determine u so that -2/17*u**3 + 26/17*u**2 + z - 96/17*u = 0.
1, 6
Let u be 651 - 17 - 8/4. Let b = 662 - u. Factor 27/2*r**2 + b*r + 50/3.
(9*r + 10)**2/6
Let m(q) be the first derivative of -2*q**3/3 - 77*q**2/5 - 12*q + 7523. Solve m(n) = 0.
-15, -2/5
Let u be 2/(-15) + (-15)/((-2053800)/18496). Let g = 6872/14833 - u. Determine j, given that 2/13 + g*j + 2/13*j**3 + 6/13*j**2 = 0.
-1
Solve 1/2*b**4 + 2185454*b + 112550881/2 + 206*b**3 + 31827*b**2 = 0 for b.
-103
Let l = 1843 + -1835. Let k = 13 - 8. Factor k*g**4 + l*g**2 - 5*g + 1 - 10*g**3 + 9*g**2 - 152*g**5 - 7*g**2 + 151*g**5.
-(g - 1)**5
Let -2/19*n**2 - 1412/19*n + 0 = 0. What is n?
-706, 0
Suppose -p + 5*k - 80 = 12*k, -5*k - 72 = -3*p. Determine d, given that 8/7 + 5/7*d**2 + 5/7*d**5 - 31/7*d**3 - 13/7*d**p + 26/7*d = 0.
-1, -2/5, 1, 4
Let s(f) be the first derivative of 5*f**4/4 + 50*f**3 - 5*f**2/2 - 150*f - 2877. Let s(z) = 0. What is z?
-30, -1, 1
Let u = -30471 + 30473. Determine o so that 0 - 1/2*o**3 + 2*o + 0*o**u = 0.
-2, 0, 2
Let j = -11/1131 - -2317/5655. Solve 2*b**2 - j*b + 6/5*b**4 - 14/5*b**3 + 0 = 0.
0, 1/3, 1
Let n(d) be the third derivative of d**5/60 - 29*d**4/8 + 297*d**3 - 280*d**2 + 5*d + 2. Factor n(r).
(r - 54)*(r - 33)
Let -287*j**2 - 9*j**4 + 720*j + 6*j**4 + j**4 - 50*j**3 - 32*j**2 + 67*j**2 = 0. Calculate j.
-15, -12, 0, 2
Let 22*v**3 + 1/2*v**4 + 57*v**2 - 182*v + 205/2 = 0. Calculate v.
-41, -5, 1
Suppose 3*l + 38 = q, 4*q + 24 = -9*l + 5*l. Let u be -2*(54/5 + l). Factor u*y**3 + 2*y - 7/10 - 9/5*y**2 + 1/10*y**4.
(y - 1)**3*(y + 7)/10
Let x = -25/8386 - -2109/4193. Factor x*w**2 - 1/2*w - 6.
(w - 4)*(w + 3)/2
Let i be -88*((-44)/154 - 22/(-28)). Let j be i/(-154)*(0 + (-3)/(-6)). Let -j*d**2 - 10/7 + d = 0. What is d?
2, 5
Let l be 185/15 - 3922/318. Factor 2/11*j**4 + 450/11*j**2 + l + 0*j - 60/11*j**3.
2*j**2*(j - 15)**2/11
Let c(r) be the second derivative of -r**5/230 + 95*r**4/69 - 187*r**3/23 + 11538*r. Suppose c(f) = 0. Calculate f.
0, 3, 187
Let t(h) = -h**3 + 9*h**2 - 16*h + 3. Let a be t(4). Let o be (-5392)/(-760) + -6 + 2/a. Factor -o*b + 3/5 + 3/5*b**2.
3*(b - 1)**2/5
Let w be 6/(-7) - 580/(-203). Factor 20 + 37*c**3 - 217*c + 77*c + 55*c**w - c**3 + 29*c**3.
5*(c - 1)*(c + 2)*(13*c - 2)
Let t = 2921/4 + -20435/28. Factor -9/7*l - t*l**3 + 0 - 12/7*l**2.
-3*l*(l + 1)*(l + 3)/7
Find p, given that -392 + 609*p**2 - 298*p**2 - 313*p**2 + 394*p = 0.
1, 196
Let b(i) be the third derivative of 7/600*i**5 + 8*i - 2/15*i**3 + 1/2100*i**7 + 0 + 5*i**2 + 1/40*i**4 - 1/200*i**6. Let b(p) = 0. Calculate p.
-1, 1, 2, 4
Let z(c) = -2*c**3 + 8*c**2 + 71*c + 63. Let n be z(-1). Factor -2/3 - n*y - 2*y**2 - 2/3*y**3.
-2*(y + 1)**3/3
Let y = -123698/5 - -24826. Factor 72/5*m + y + 3/5*m**2.
3*(m + 12)**2/5
Let d = -109792 + 109795. Determine n so that 2/9*n**2 - 2/3*n**d + 0 + 2/3*n - 2/9*n**4 = 0.
-3, -1, 0, 1
Let i(u) = 3*u**2. Let k(y) = -84*y**2 - 72*y - 132. Let b(f) = 27*i(f) + k(f). Factor b(h).
-3*(h + 2)*(h + 22)
Let n(g) be the second derivative of -g**5/210 - 1139*g**4/63 + 2279*g**3/63 - 4*g - 1140. Factor n(h).
-2*h*(h - 1)*(h + 2279)/21
Let h(n) = 174*n - 197. Let r be h(-5). Let a = r + 1070. Factor 4*o**2 - 1/4*o**a - 16*o + 0.
-o*(o - 8)**2/4
Let p be (-7)/14*5/(5/8). Let u be (-8)/10*10/p. Solve 21 - 16*i**3 - 10 - 19 + 36*i - 12*i**u = 0 for i.
-2, 1/4, 1
Let p(q) be the first derivative of q**4/20 + 113*q**3/15 - 141*q**2/2 + 1071*q/5 + 2964. Factor p(h).
(h - 3)**2*(h + 119)/5
Suppose -830 = -110*o - 189*o + 67. Let w(s) be the first derivative of -8/7*s - 9/7*s**2 + 6 + 5/21*s**o. Factor w(j).
(j - 4)*(5*j + 2)/7
Let y(z) be the second derivative of -z**10/30240 + z**8/6720 + 29*z**4/6 - 4*z - 7. Let d(c) be the third derivative of y(c). Factor d(o).
-o**3*(o - 1)*(o + 1)
Let j(d) = -3*d - 1. Let l be j(-1). Let m = 1057 - 1043. Solve 14*n**l + m*n**3 + 4*n - 18*n**2 - 14*n**2 = 0.
0, 2/7, 1
Solve 0 - 2/7*o**3 - 72/7*o**2 - 198/7*o = 0 for o.
-33, -3, 0
Let g(n) be the first derivative of -2*n**3/15 + 37*n**2/5 - 72*n/5 + 956. Factor g(k).
-2*(k - 36)*(k - 1)/5
Let w(q) be the third derivative of q**7/42 + 3*q**6/4 + 39*q**5/4 + 205*q**4/3 + 280*q**3 - 7*q**2 + q - 16. Solve w(g) = 0 for g.
-7, -4, -3
Let u(q) be the third derivative of q**7/350 + 4*q**6/15 + 17*q**5/100 - 53*q**4/60 + 3925*q**2. Factor u(l).
l*(l + 1)*(l + 53)*(3*l - 2)/5
Let k = 12 + -8. Factor -158*z**2 - 2*z**2 - 8*z**3 - 2*z**k + 0*z**4 - 26*z**3 - 128*z.
-2*z*(z + 1)*(z + 8)**2
Suppose 0*h = -3*g - 2*h + 58, 2*g = -3*h + 37. Suppose g = -10*u + 14*u. Solve 39*s**3 + 42*s**2 - 5*s**u - 6*s**3 + 2*s**3 - 12*s**2 = 0 for s.
-2, -1, 0, 3
Let r(b) be the first derivative of b**3/5 + 159*b**2/10 - 174*b + 2462. Factor r(m).
3*(m - 5)*(m + 58)/5
Let t be ((-10)/10)/(1/18). Let i = t + 20. Factor 969*b**2 - 969*b**i - 2*b**3.
-2*b**3
Let m be -39*(64 - 68 - 23/(-7)). Determine y, given that 150/7 - m*y - 12/7*y**3 + 12*y**2 = 0.
2, 5/2
Let g(w) be the first derivative of 2*w**5/25 + 3*w**4/10 + 4*w**3/15 - 1003. Factor g(m).
2*m**2*(m + 1)*(m + 2)/5
Let h = -23/9 - -341/63. Let r be (-5 + (-133)/(-21))*(-