tor 9/2*h**3 + 1/4*h**5 - 4*h**2 - 2*h**4 + u + 5/4*h.
h*(h - 5)*(h - 1)**3/4
Suppose 0 = -4*u - 2251 - 2345. Let l = u + 1728. Let 10 - 461*s**3 - 7*s**3 - 156*s + l*s**2 + 108*s**4 - 1 + 3 = 0. Calculate s.
1/6, 2
Let d(n) = -n**4 - 31*n**3 - 101*n**2 + 137*n - 4. Let k(j) = 4*j**4 + 124*j**3 + 403*j**2 - 549*j + 18. Let l(v) = 18*d(v) + 4*k(v). Factor l(h).
-2*h*(h - 1)*(h + 5)*(h + 27)
Determine j so that -180*j + 247 + 3*j**2 + 128 + 52 - 79 = 0.
2, 58
Let m(r) = -2*r**3 + 22*r + 17. Let d be m(7). Let u = 2579/5 + d. Factor u*t**3 - 4/5*t + 4/5 - 4/5*t**2.
4*(t - 1)**2*(t + 1)/5
Let q(l) = -l**3 - 28*l**2 - 52*l + 2. Suppose -85*g = -78*g + 182. Let r be q(g). Solve -34/11*b**3 - 18/11*b**r + 0*b + 2/11*b**5 + 0 - 14/11*b**4 = 0 for b.
-1, 0, 9
Let h = -484 + 509. Factor 17 + 3*u**5 + h - 3*u**3 - 42.
3*u**3*(u - 1)*(u + 1)
Find a such that -87*a - 129319*a**3 + 64702*a**3 + 144 + 54*a**4 - 198*a**2 + 64701*a**3 + 3*a**5 = 0.
-16, -3, -1, 1
Factor -28*n - 66/7 + 6/7*n**2.
2*(n - 33)*(3*n + 1)/7
Let r = -754537 + 3772691/5. Solve -176/5*n + r*n**2 - 24 = 0 for n.
-2/3, 30
Let c be 74/(-1295) + 24/70 - 0. Solve c*s**5 - 6/7*s**3 + 0 + 4/7*s**2 + 0*s**4 + 0*s = 0 for s.
-2, 0, 1
Let h = 285188 + -285186. Factor -2/11*u**h + 8/11 + 0*u.
-2*(u - 2)*(u + 2)/11
Let o(y) be the first derivative of -178 + 9/2*y**4 + 0*y + 11*y**3 + 3/5*y**5 + 9*y**2. What is u in o(u) = 0?
-3, -2, -1, 0
Let w = -442 - -496. Factor -80 - 52*b**2 - 51*b - 23*b - 4*b**3 - w*b.
-4*(b + 1)*(b + 2)*(b + 10)
Let w(p) be the first derivative of -p**5/30 - p**4/12 + 2*p**3/3 + 27*p**2 + 30. Let t(q) be the second derivative of w(q). Factor t(a).
-2*(a - 1)*(a + 2)
Let d(p) = 5*p**2 + 20*p + 23. Let b = 2 - 32. Let z = b - -5. Let v(y) = -40*y**2 - 160*y - 185. Let a(j) = z*d(j) - 3*v(j). Factor a(q).
-5*(q + 2)**2
Find t, given that 43/3*t**4 + 11*t**3 - 176/3*t**2 + 11 + 127/6*t + 7/6*t**5 = 0.
-11, -3, -2/7, 1
Let p(z) be the third derivative of z**7/3780 + z**6/216 + z**5/30 + 85*z**4/8 - 192*z**2. Let v(y) be the second derivative of p(y). Factor v(d).
2*(d + 2)*(d + 3)/3
Let v(l) = l**4 - 139*l**3 + 439*l**2 - 131*l + 4. Let d(o) = -139*o**3 + 442*o**2 - 132*o + 6. Let s(u) = 2*d(u) - 3*v(u). Determine q, given that s(q) = 0.
0, 1/3, 3, 43
Let d(f) be the third derivative of 14*f**5/195 + 89*f**4/156 + 5*f**3/13 - 2*f**2 + 540. Solve d(k) = 0 for k.
-3, -5/28
Let k(i) be the second derivative of 1/60*i**5 - 1/4*i**4 + 0 + 10/9*i**3 + 28*i - 2*i**2. Suppose k(j) = 0. Calculate j.
1, 2, 6
Suppose -22*n = -73*n. Let s(u) be the first derivative of 0*u**3 - 1/10*u**4 - 1/15*u**6 - 4/25*u**5 - 8 + 0*u + n*u**2. Factor s(f).
-2*f**3*(f + 1)**2/5
Let c be (-98)/78 + -49*(-12)/252. Suppose 0*s - 4*t - 2 = 2*s, -5*s + 23 = -4*t. Solve 10/13 - 22/13*o + c*o**2 - 2/13*o**s = 0.
1, 5
Solve 0 - 1256/7*m**2 - 542/7*m**3 + 8/7*m**4 - 40*m = 0 for m.
-2, -1/4, 0, 70
Let g(i) be the second derivative of -i**5/10 - 25*i**4/6 - 122*i**3/3 - 152*i**2 + i + 2854. Let g(f) = 0. What is f?
-19, -4, -2
Let p(g) = 7*g + 284. Let s be p(-40). Solve -6*x**5 - 79 + 7*x**5 - 16*x - 2 - 96*x - 111 + 3*x**3 + 92*x**2 - 8*x**s = 0 for x.
-3, -1, 4
Let l(h) be the second derivative of 5/4*h**4 + 23/40*h**5 + 2*h - 13 + 0*h**2 + 25/24*h**3 + 1/168*h**7 + 1/10*h**6. Let l(r) = 0. Calculate r.
-5, -1, 0
Let n(x) be the first derivative of x**7/210 - 4*x**6/45 - 3*x**5/10 + 24*x**3 + 29. Let d(r) be the third derivative of n(r). Determine z so that d(z) = 0.
-1, 0, 9
Factor 584*o - 199*o**2 - 18*o**4 - o**5 + o**2 + 216 - 476*o - 107*o**3.
-(o - 1)*(o + 1)*(o + 6)**3
Let w(a) = -60*a**2 + 419*a - 2107. Let k(r) = -26*r**2 + 211*r - 1053. Let y(b) = 7*k(b) - 3*w(b). Factor y(d).
-2*(d - 105)*(d - 5)
Let i be (-1)/6*4*318/4. Let q = 57 + i. What is b in 208*b**3 - 48 + 291*b**2 + 57*b**2 - 12*b + 140*b + 36*b**q = 0?
-3, -2, -1, 2/9
Let n(r) = 10*r**2 + 10*r - 2 + 36 - r**3 - 21. Let c be n(11). Solve 1 + 8*u**c + 3*u - 5*u**2 - 7 = 0 for u.
-2, 1
Let g(q) be the third derivative of 0 + 50*q**2 + 1/660*q**6 + 0*q**3 + 0*q + 4/33*q**4 - 17/330*q**5. Factor g(x).
2*x*(x - 16)*(x - 1)/11
Factor 5130 + 3*v**4 + 61515*v**3 + 2*v**4 - 122783*v**3 + 61423*v**3 + 1365*v**2 + 4545*v.
5*(v + 3)**2*(v + 6)*(v + 19)
Let x(v) be the second derivative of -v**7/14 - 103*v**6/10 - 2079*v**5/4 - 35525*v**4/4 + 42875*v**3 + 1491*v. Suppose x(n) = 0. What is n?
-35, 0, 2
Let p(j) be the third derivative of j**5/20 - 211*j**4/2 + j**2 - 19. Factor p(i).
3*i*(i - 844)
Let q = 832 - 841. Let j be (68/6 + -8)/((-21)/q). Factor -j*o - 2/7*o**2 + 12/7.
-2*(o - 1)*(o + 6)/7
Suppose 3 = 2*y + 5*f, -4*y - 5*f - 32 + 43 = 0. Let k(v) be the first derivative of 0*v + 21 - 1/10*v**5 + 1/4*v**y - 1/6*v**3 + 0*v**2. What is m in k(m) = 0?
0, 1
Let v(x) = -39*x + 117. Let o be v(3). Let g(r) be the third derivative of 5/2*r**4 + 1/30*r**5 + 75*r**3 + o*r + 0 + 34*r**2. Factor g(u).
2*(u + 15)**2
Suppose 48 - 42 = f. Let w be f/8*24/39. Factor -6/13*l**2 + 14/13*l**3 - w*l + 4/13 - 6/13*l**4.
-2*(l - 1)**3*(3*l + 2)/13
Let f be 470/47 + 6*-1. Let a(b) be the third derivative of 0 + 2/15*b**3 - 2/75*b**5 + 7*b**2 + 0*b**f + 0*b + 2/525*b**7 + 0*b**6. Factor a(i).
4*(i - 1)**2*(i + 1)**2/5
Let t be 1*(-16)/((-144)/27). Let p(l) be the third derivative of -l**2 + 0 + 2/27*l**t - 1/135*l**5 + 0*l + 5/108*l**4 - 1/108*l**6. Factor p(w).
-2*(w - 1)*(w + 1)*(5*w + 2)/9
Find l, given that 908/7*l + 24/7 - 88*l**2 = 0.
-2/77, 3/2
Let q be (-52)/20 + 3 + (-13)/(-5). Suppose -2*s + q = -s. Find m such that -42*m**3 + 405*m + 137*m**3 - 128*m**2 - 2*m**4 - s*m**4 - 367*m**2 = 0.
0, 1, 9
Suppose 2163*p - 2174*p = -55. Let k(m) be the second derivative of 1/2*m**3 - 5*m + 0 - 3/20*m**p + 0*m**2 + 0*m**4. Determine x so that k(x) = 0.
-1, 0, 1
Suppose -444/11*a**3 - 560/11*a - 856/11*a**2 + 0 - 2/11*a**5 - 82/11*a**4 = 0. What is a?
-35, -2, 0
Factor -248/3*b + 0 - 58/3*b**2 + 1/3*b**3.
b*(b - 62)*(b + 4)/3
Let t(l) be the second derivative of l**6/75 - 13*l**5/50 - 8*l**4/15 + 28*l**3/15 - 185*l + 1. Factor t(i).
2*i*(i - 14)*(i - 1)*(i + 2)/5
Let j be 8/28*(4 - -3). Let m(x) = 8*x - 4 - 4 - 10*x**j - 2 + 7*x. Let u(v) = 11*v**2 - 14*v + 9. Let t(y) = -6*m(y) - 5*u(y). Factor t(k).
5*(k - 3)*(k - 1)
Let p(c) be the second derivative of -5*c**4/21 + 47*c**3/21 - 4*c**2 - 119*c - 8. Factor p(g).
-2*(g - 4)*(10*g - 7)/7
Let w be (-4)/78 + -56 + (-122804)/(-2145). Find z such that -24/5*z - 12*z**2 + 3*z**4 + w*z**3 + 0 = 0.
-2, -2/5, 0, 2
Suppose -5*i = 2*n - 6*i - 85, 0 = n + 5*i - 15. Let z be 7*-1 + n + -30. Let -1/11*t + 0 + 1/11*t**z + 0*t**2 = 0. What is t?
-1, 0, 1
Solve -39/2*i**4 + 0 + 142*i**2 + 204*i - 1/2*i**5 - 81*i**3 = 0.
-34, -6, -1, 0, 2
Let o(l) be the second derivative of 8*l**2 - 1/2*l**5 - 8*l + 11/4*l**4 - 20/3*l**3 + 1/30*l**6 + 2. Factor o(f).
(f - 4)**2*(f - 1)**2
Let d be -3*(24/(-180))/(1/20). Suppose 3*k**4 - 18*k + 11*k**2 + 14*k**3 - d - 5*k + 7*k - 4 = 0. Calculate k.
-3, -2, -2/3, 1
Let n = -59493/4 + 14874. Let j be 4 - (0 - 52/(-16)). Factor -n*f**2 - j*f + 3/2.
-3*(f - 1)*(f + 2)/4
Let w(r) be the first derivative of 3 - 225/16*r**2 - 375/8*r - 15/8*r**3 - 3/32*r**4. Determine a so that w(a) = 0.
-5
Let v(u) = -u**3 - 5*u**2 + 66*u + 2. Let l be v(6). Let -2/5*s**3 + 0 - 4/5*s - 2*s**l + 4/5*s**4 = 0. What is s?
-1, -1/2, 0, 2
Let h be 35/(-75)*6*30. Let d be h/147 - 8/(-14). Factor d - 1/6*x**2 + 0*x.
-x**2/6
Factor -369735*s - 38698930 - 5/4*s**3 - 2355/2*s**2.
-5*(s + 314)**3/4
Suppose 17*c - c = 48. Let s be 2 - 2 - 2*-2. Determine j so that 4*j**s - 5*j**2 - 7*j - c*j + 0*j**4 + 4*j + 7*j**3 = 0.
-2, -3/4, 0, 1
Let f be 1/(((-39)/(-12))/(-13))*-6. Suppose f*o = -45*o. What is p in o*p + 0 + 28/3*p**4 - 32/9*p**3 - 8*p**5 + 4/9*p**2 = 0?
0, 1/3, 1/2
Let s(t) be the second derivative of t**4/32 + t**3/8 - 45*t**2/16 + 1588*t. Factor s(w).
3*(w - 3)*(w + 5)/8
Let a(g) be the first derivative of -g**3/4 + 129*g**2/8 - 1324. Factor a(i).
-3*i*(i - 43)/4
Suppose -4*p - 767 + 3819 = 0. Suppose p = 6*g + 115. Let -3*s**3 + 5*s**4 - 73*s**2 + 21*s**3 + g*s**2 + 15*s + 7*s**3 = 0. Calculate s.
-3, -1, 0
Let m(l) be the second derivative of -1/25*l**6 - 192/5*l**2 + 0 + 21/25*l**5 - 44*l - 6*l**4 + 104/5*l**3. Solve m(h) =