-l**3*(l - 1)**2/6
Let q(a) = -2*a**4 - 92*a**3 + 546*a**2 + 612*a. Let k(g) = -10*g**4 - 460*g**3 + 2726*g**2 + 3060*g. Let y(s) = -6*k(s) + 29*q(s). Let y(r) = 0. What is r?
-51, -1, 0, 6
Solve 2/7*t**4 + 4/7*t + 8/7*t**3 + 0 + 10/7*t**2 = 0 for t.
-2, -1, 0
Suppose 0 = u + v + 4, -2*v - 3 - 1 = 4*u. Suppose -5*d + 7 + 18 = 0. Solve 5/2*o**u - 15/2*o + d = 0.
1, 2
Let u(y) = y**3 - y**2 + y. Suppose -3*z + 27 = 9. Let w(t) = -t**5 - 3*t**4 - 7*t**3 + 9*t**2 - 4*t. Let v(a) = z*u(a) + w(a). Factor v(j).
-j*(j - 1)*(j + 1)**2*(j + 2)
Let l(b) be the third derivative of b**5/540 + 143*b**4/36 + 857*b**3/54 - 382*b**2 - 5*b. Factor l(o).
(o + 1)*(o + 857)/9
Let a be (-27)/42*59444/(-264). Let x = -144 + a. Factor -27/2*g + 0 - 9/4*g**2 + 3*g**3 + x*g**4.
3*g*(g - 2)*(g + 3)**2/4
Let v be (4 - 0 - (0 - -5 - 1))*665/(-3325). Factor 14/5*k**3 + 0*k + 6/5*k**2 + 2*k**4 + v + 2/5*k**5.
2*k**2*(k + 1)**2*(k + 3)/5
Let d(i) = -10*i - 72. Let u be d(-7). Let j(p) = -10*p**3 - 4*p**2 + 28*p + 4. Let g(c) = -c. Let r(k) = u*j(k) - 36*g(k). Let r(h) = 0. Calculate h.
-1, -2/5, 1
What is k in -224131 + 20*k**2 - 4*k**3 + 4464*k + 112070 + 112061 = 0?
-31, 0, 36
Let f(l) be the second derivative of -137*l - 85/12*l**4 - l**5 + 30*l**2 + 110/3*l**3 + 0. Factor f(g).
-5*(g - 2)*(g + 6)*(4*g + 1)
Let f be (-873)/(-252) - (-994)/(-568). Let 2*p - f*p**2 - 2/7*p**3 + 0 = 0. Calculate p.
-7, 0, 1
Find l, given that 47/2*l**4 - 16 + 3*l**5 - 25/2*l**3 - 60*l**2 + 62*l = 0.
-8, -2, 1/2, 2/3, 1
Let g(n) be the first derivative of -106 + 160*n**2 + 182/3*n**3 - 169/2*n**4 - 200*n. Solve g(z) = 0 for z.
-1, 10/13
Suppose -w - 94 = -96. Solve 17*r**2 - 15*r**2 - w*r**3 + 4*r**2 = 0 for r.
0, 3
Let a(l) = 2*l**2 + 3*l. Let n be a(-2). Let w = 80260 + -80260. Factor 2/9*z**3 - 14/9*z + 4/3 + w*z**n.
2*(z - 2)*(z - 1)*(z + 3)/9
Let c(j) = j**3 - j**2 - 210*j + 210. Let b be c(1). Solve b*s**2 - 5/3*s**3 + 35/6*s**4 + 0 + 0*s = 0 for s.
0, 2/7
Let y(h) = -355*h + 4970. Let l be y(14). Factor 6/5*b**2 + l - 2/5*b**3 + 8/5*b.
-2*b*(b - 4)*(b + 1)/5
Let g(k) be the second derivative of -264*k + 2*k**4 + 0*k**3 - 17/15*k**6 + 0 + 0*k**2 + 1/10*k**5 + 4/21*k**7. Suppose g(x) = 0. Calculate x.
-3/4, 0, 1, 4
Let s(t) be the first derivative of t**5/60 - t**4/4 + 5*t**3/6 - 47*t**2 + 43. Let d(j) be the second derivative of s(j). Solve d(o) = 0.
1, 5
Factor -28/5*i**2 - 165 + 1/10*i**3 - 127/2*i.
(i - 66)*(i + 5)**2/10
Suppose x + 37*x**4 + 2*x - 6*x**3 - 4009*x**2 + 21 - 16*x**4 + 0*x**5 + 3*x**5 + 3967*x**2 = 0. What is x?
-7, -1, 1
Let n(q) = -11*q**4 + 45*q**3 - 241*q**2 + 527*q - 252. Let o(l) = -4*l**4 + 16*l**3 - 80*l**2 + 176*l - 84. Let h(g) = 6*n(g) - 17*o(g). Factor h(f).
2*(f - 6)*(f - 1)**2*(f + 7)
Factor -1207*b**3 - 1166*b**3 - 392*b + 213*b**2 + 2323*b**3 + 67*b**2.
-2*b*(5*b - 14)**2
Suppose 201*i**3 - 559*i**3 + 44*i**4 + 2836 - 1828 - 1992*i - 2*i**5 + 1300*i**2 = 0. Calculate i.
1, 2, 6, 7
Let h = 2250 - 2250. Let n(a) be the second derivative of 1/84*a**7 + 0 + 0*a**6 + 0*a**3 + h*a**5 + 0*a**2 - 4*a + 0*a**4. Solve n(x) = 0 for x.
0
Let p be (1/((-2)/(-5)))/(295/590). Let a(z) be the third derivative of 0*z - 5/14*z**4 - 1/210*z**p - 48*z**2 + 0 - 75/7*z**3. Suppose a(n) = 0. What is n?
-15
Let n(b) = b**3 + 20*b**2 + 52*b + 19. Let z be n(-17). Let -8*f + 223*f**z - 243*f**2 - 20*f + 76*f**3 + 8 + 60*f**4 = 0. Calculate f.
-1, 1/3, 2/5
Let i(j) = j**2 - 12*j - 9. Let x be i(13). Let 115*q**2 + 149*q**2 - 20*q**2 + 720*q + 400 - 72*q**3 + 4*q**x = 0. Calculate q.
-1, 10
Let 752/11 - 1/11*f**2 + 751/11*f = 0. What is f?
-1, 752
Let r(q) be the second derivative of 231*q**5/5 - 311*q**4/3 + 56*q**3 - 8*q**2 - 138*q - 3. Factor r(a).
4*(a - 1)*(7*a - 2)*(33*a - 2)
Suppose -721 = -5*u + 254. Suppose 198*b - u*b = 6. Let -4/5*g**4 + 0*g + 2/5*g**3 + 2/5*g**5 + 0 + 0*g**b = 0. Calculate g.
0, 1
Let i(x) be the first derivative of x**6/2 + 39*x**5/5 + 27*x**4/4 - 41*x**3 - 93*x**2 - 72*x - 5223. Factor i(d).
3*(d - 2)*(d + 1)**3*(d + 12)
Suppose 0 = 2*i - 3*w + 267, -3*i + 2*w - 3*w = 373. Let s be (-2643)/i + (-6)/42. Factor 139/3*t**2 + 4/3 + 38/3*t + 485/6*t**3 + 200/3*t**4 + s*t**5.
(t + 1)**2*(5*t + 2)**3/6
Solve 40*n**4 - 15*n**4 - 15188*n + 15256*n + 19*n**2 - n**5 - 67*n**3 - 44 = 0 for n.
-1, 1, 2, 22
Let l be (-1 + 85/5)*(-2)/(-4). Let -2*d + l*d - d**3 - 2*d**2 - 7*d = 0. Calculate d.
-1, 0
Solve -68/7 + 4/21*n**2 - 10/21*n = 0.
-6, 17/2
Let d = -506950 - -506956. Factor 84/5*x**2 - 27 + d*x**3 + 3/5*x**4 + 18/5*x.
3*(x - 1)*(x + 3)**2*(x + 5)/5
Let y(f) = 15*f**2 + 110*f + 5. Let m(s) = -11*s**2 - 108*s - 4. Let a(q) = -5*m(q) - 4*y(q). Factor a(o).
-5*o*(o - 20)
Let w(o) be the third derivative of o**5/120 - 71*o**4/18 - 95*o**3/9 + o**2 + 1282*o. Determine t so that w(t) = 0.
-2/3, 190
Let g be 1/4*144/12. Let t be 3/(g + 9/(-6)). Solve -25*y**3 + 5*y**4 + 7 + 3 - 35*y + 13*y**2 + 23*y**t + 9*y**2 = 0 for y.
1, 2
Let f(m) = -3*m**4 + 2*m**2 - m. Let r(s) = 14*s**4 - 52*s**3 - 36*s**2 + 294*s. Let i(j) = -6*f(j) - r(j). Let i(g) = 0. Calculate g.
-12, -3, 0, 2
Let c = -311907 - -935723/3. Factor c*s**3 - 36 + 30*s - 8*s**2.
2*(s - 6)*(s - 3)**2/3
Suppose -210 = -i - 5*j - 575, -2 = j. Let x = -325 - i. Factor 5/3*b + 0 - 70/3*b**4 - 25/2*b**2 + x*b**3.
-5*b*(2*b - 1)**2*(7*b - 2)/6
Let c(b) be the second derivative of 0*b**2 - 2/21*b**7 - 17/3*b**4 - 4*b**3 - 33/10*b**5 + 0 - 9/10*b**6 - 84*b. Let c(u) = 0. Calculate u.
-2, -3/4, 0
Let j(u) = -2*u - 34. Let y be j(-17). Suppose 0*v + 4*v = -4*b + 12, b - 4*v + 2 = y. Factor -152*k**b + 12*k**4 + 4*k**3 + 4*k**5 + 140*k**2 + k - 9*k.
4*k*(k - 1)*(k + 1)**2*(k + 2)
Let w be 2 + 109 + (-6)/(-2). Let 658*c**4 - 33 - 15 - 81*c**2 - w*c - 655*c**4 - 12*c**3 = 0. Calculate c.
-2, -1, 8
Find w such that -2/9*w**5 + 4/9*w**2 - 22/3*w + 68/9*w**3 - 34/9 + 10/3*w**4 = 0.
-1, 1, 17
Find g such that 11/3*g**3 - 80*g**2 - 44/3*g + 0 = 0.
-2/11, 0, 22
Let u = 28497 - 28463. Let t(f) be the first derivative of -38/3*f**3 + u - 9/4*f**4 - 4*f**2 + 0*f. Solve t(q) = 0 for q.
-4, -2/9, 0
Let j(o) be the third derivative of 0*o - 11/8*o**4 - 2 - 69*o**2 + 0*o**3 - 1/160*o**5. Let j(l) = 0. What is l?
-88, 0
Solve -20*b**2 - 154*b - 1/2*b**3 + 968 = 0 for b.
-22, 4
Let z(y) be the third derivative of -2 - 3*y**2 + 0*y**6 - 1/45*y**5 + 1/630*y**7 + 0*y + 0*y**4 + 0*y**3. Factor z(r).
r**2*(r - 2)*(r + 2)/3
Factor -96 - 23/3*b + 1/3*b**2.
(b - 32)*(b + 9)/3
Let 7 - 33/2*a + 23/2*a**2 - 1/2*a**4 - 3/2*a**3 = 0. What is a?
-7, 1, 2
Let d be ((-468)/(-1248) + (-108)/32)/(-6). Factor -d*h**4 - 1/2*h**5 + h**3 + 0*h**2 + 0*h + 0.
-h**3*(h - 1)*(h + 2)/2
Factor 32/5*t**4 - 12*t**3 + 0*t**2 - 1/5*t**5 + 0 + 0*t.
-t**3*(t - 30)*(t - 2)/5
Let n = -104 + 107. Factor -10*z**4 - 3372*z**3 + 3372*z**n - 5*z**5 + 10*z**2 + 5*z.
-5*z*(z - 1)*(z + 1)**3
Factor 2/7*x**2 + 636/7*x + 50562/7.
2*(x + 159)**2/7
Let d(y) be the second derivative of y**7/2100 + y**6/240 + y**5/150 - 55*y**2 + y - 16. Let q(p) be the first derivative of d(p). Factor q(w).
w**2*(w + 1)*(w + 4)/10
Let g(s) be the second derivative of -4*s + 3/80*s**5 + 77/8*s**3 - 147/4*s**2 - s**4 - 34. Factor g(o).
3*(o - 7)**2*(o - 2)/4
Let b be ((-33)/495)/(-1 - 0). Let d(f) be the first derivative of -b*f**3 - 16/5*f - 4/5*f**2 - 20. Factor d(h).
-(h + 4)**2/5
Let p(d) be the third derivative of d**5/20 + 2445*d**4/8 + 1222*d**3 - 176*d**2 + 4*d + 3. Factor p(x).
3*(x + 1)*(x + 2444)
Let p(o) = 35*o**2 - 140*o - 40. Suppose 18*i - 21*i = 24. Let s(v) = -53*v**2 + 210*v + 59. Let x(l) = i*p(l) - 5*s(l). Determine q so that x(q) = 0.
-1/3, 5
Let x(w) be the second derivative of -3*w**5/4 - 127*w**4/4 - 310*w**3 - 342*w**2 + 806*w. Factor x(k).
-3*(k + 6)*(k + 19)*(5*k + 2)
Let j be 16/39*105/100 + (-6)/26. Factor 4*l - 20 - j*l**2.
-(l - 10)**2/5
Let o(g) be the second derivative of 1/15*g**6 + 297*g + 0*g**2 + 5625/2*g**4 - 140625*g**3 - 45/2*g**5 + 0. Factor o(h).
2*h*(h - 75)**3
Factor -1282384*i**2 - 2508*i - 4431341*i**2 + 12078*i - 5 + 1134480*i**2.
-5*(957*i - 1)**2
Let d(b) = 4*b**3 - 2*b**2 - 8*b - 6. Let x(s) = -8*s**3 + 3*s**2 + 12*s + 13. Let t(f) = -13*d(f) - 6*x(f). Factor t(r).
-4*r*(r - 4)*(r + 2)
Suppose -155*j = 1627 - 1937. Factor 7/8*r - 1/8*r**j - 5/4.
-(r 