2*l**2 - l - 1. Solve q(f) = 0.
-29, 43
Let l(x) be the third derivative of -x**5/140 + 47*x**4/56 - 45*x**3/7 - 2*x**2 - 48*x. Find r, given that l(r) = 0.
2, 45
Factor 2/5*v**4 + 0 + 73/5*v**2 - 44/5*v + 29/5*v**3.
v*(v + 4)*(v + 11)*(2*v - 1)/5
Suppose 3*f + 44 = -5*g, -847*f + 851*f = -5*g - 42. Find a such that 35/2*a**3 + 0 + 60*a + 215*a**f = 0.
-12, -2/7, 0
Suppose 559*j - 44 = 537*j. Suppose -2 = -2*i + 2. Factor -3*x**3 - 4*x**j - 91*x**5 - 3*x**i + 5*x**2 + 92*x**5.
x**2*(x - 2)*(x + 1)**2
Let r = -953 + 893. Let q be (-86)/r - 125/150. What is j in 7/5*j**2 - 7/5*j**4 + 1/5*j**3 + 2/5*j**5 + 0 - q*j = 0?
-1, 0, 1/2, 1, 3
Solve -1216*b**2 + 9077*b**4 + 1172*b**3 + 4*b**5 - 9397*b**4 + 60*b**3 = 0 for b.
0, 2, 76
Let m = 244 + -241. Determine u, given that 52*u**m - 4*u**4 + 44*u**2 - 100*u**2 + 24*u - 20*u**3 + 4*u**2 = 0.
0, 1, 6
Let z(x) be the second derivative of x**7/3360 + x**6/720 + 45*x**3/2 + 2*x - 41. Let l(y) be the second derivative of z(y). Determine c so that l(c) = 0.
-2, 0
Let d = -1/1144 + 4591/17160. Let a = -734 - -737. What is g in -8/5*g + 16/15 + 2/5*g**a - 2/15*g**4 + d*g**2 = 0?
-2, 1, 2
Let m(i) = -i**2 + 4*i - 3. Let f(n) = -6*n**2 + 21*n - 17. Let o(a) = -2*f(a) + 11*m(a). Let z(v) = -4*v**2 + 7*v + 151. Let h(j) = o(j) - z(j). Factor h(p).
5*(p - 6)*(p + 5)
Let m(k) be the first derivative of k**7/560 - k**6/80 + k**5/40 - 33*k**3 - 43. Let h(y) be the third derivative of m(y). Let h(f) = 0. What is f?
0, 1, 2
Let g(s) be the second derivative of -16/45*s**3 + 0*s**2 + 5*s + 13 + 1/90*s**4. Determine j so that g(j) = 0.
0, 16
Factor 0 + 10/3*m**2 + 2/9*m**3 + 100/9*m.
2*m*(m + 5)*(m + 10)/9
Let p(h) be the first derivative of h**6/2 + 63*h**5/5 + 201*h**4/4 - 33*h**3 - 426*h**2 - 612*h + 799. What is g in p(g) = 0?
-17, -3, -2, -1, 2
Let b(v) be the third derivative of -v**8/2520 + 4*v**7/315 - 7*v**6/75 + 71*v**5/225 - 107*v**4/180 + 2*v**3/3 + 637*v**2. Determine y, given that b(y) = 0.
1, 2, 15
Let k = -451/38 + -31/19. Let z = 14 + k. Factor f**2 + 0 + z*f**3 + 0*f.
f**2*(f + 2)/2
Let t(d) be the third derivative of -7 + 0*d**3 + 0*d - 5/64*d**4 + 1/40*d**5 - 1/896*d**8 - 13*d**2 + 3/160*d**6 - 1/140*d**7. Let t(u) = 0. What is u?
-5, -1, 0, 1
Find w, given that 607 - 12*w + 495 - 3*w**2 + 209 = 0.
-23, 19
Let v(l) = 2*l**2 - 9*l + 7. Let i be v(4). Factor -5*j**i + 0*j**4 - 12*j**2 - 263*j**5 + 6*j**4 + 262*j**5.
-j**2*(j - 4)*(j - 3)*(j + 1)
Let j(f) = 120*f**3 - 340*f**2 - 635*f + 70. Let c(n) = 7*n**3 - 20*n**2 - 37*n + 4. Let o(x) = -35*c(x) + 2*j(x). Suppose o(t) = 0. Calculate t.
-1, 0, 5
What is z in -67*z**2 - 470 - 5*z**2 + 585*z + 3*z**3 - 37 - 9*z**2 = 0?
1, 13
Let y(r) be the third derivative of r**6/24 - 71*r**5/12 - 275*r**4/6 - 370*r**3/3 + 3*r**2 - 258. Find t such that y(t) = 0.
-2, -1, 74
Factor 15536/7*v - 15085456/7 - 4/7*v**2.
-4*(v - 1942)**2/7
Let g(h) be the first derivative of -2*h**3/27 - 377*h**2/9 - 752*h/9 + 1579. Factor g(x).
-2*(x + 1)*(x + 376)/9
Let x = 1618 + -1618. Let k(y) be the second derivative of 13/5*y**6 - 4/3*y**5 - 9/7*y**7 + 2/9*y**4 + x*y**2 + 7*y + 0*y**3 + 0. Find d, given that k(d) = 0.
0, 2/9, 1
Let a(g) be the third derivative of -g**5/160 + 573*g**4/32 - 328329*g**3/16 + 1547*g**2. Factor a(w).
-3*(w - 573)**2/8
Let s(y) be the first derivative of 41*y**4/3 - 242*y**3/3 - 12*y**2 + 66*y + 116. Let v(f) be the first derivative of s(f). Find c, given that v(c) = 0.
-2/41, 3
Determine n so that -161/5*n**2 + 161/5 + 1/5*n - 1/5*n**3 = 0.
-161, -1, 1
Suppose 0 = -4*k - l + 17 + 43, -5*k - 5*l + 75 = 0. Suppose -3 + 2*g + 35*g**2 - k - 77*g + 63 - 5*g**3 = 0. Calculate g.
1, 3
Let v(c) be the second derivative of -18/11*c**2 + 41*c - 71/33*c**3 - 3 + 2/33*c**4. Suppose v(b) = 0. Calculate b.
-1/4, 18
What is c in 153*c**4 + 36*c**3 + 54*c**2 - 89*c**4 + 108*c - 84*c**4 + 94*c**2 + 16 = 0?
-1, -1/5, 4
Let s = 105 + -103. Let i be (-6 + 7)*10/s. Let 4*g**5 + 5*g**i - 38*g**4 - 9*g**3 - 21*g**5 - g**4 = 0. Calculate g.
-3, -1/4, 0
Factor 285 + 78*a - 5 + 22 + 13 + 2*a**2 + a**2.
3*(a + 5)*(a + 21)
Let r(o) be the second derivative of o**4/48 - 3*o**3 + 71*o**2/8 + 11*o + 19. Find p such that r(p) = 0.
1, 71
Let i(h) be the first derivative of 0*h + 3*h**4 + 49 + 0*h**2 + 4/5*h**5 + 8/3*h**3. Factor i(v).
4*v**2*(v + 1)*(v + 2)
Let c(r) be the first derivative of r**5/5 - 31*r**4/12 - 23*r**3/9 + 11*r**2/6 - 690. Factor c(v).
v*(v - 11)*(v + 1)*(3*v - 1)/3
Suppose s = 5*g + 39 - 58, 35 = 4*g - 3*s. Suppose -4/13 + 12/13*l**3 + 34/13*l**g + 18/13*l = 0. What is l?
-2, -1, 1/6
Suppose g + 5*d - 2 + 15 = 0, -2*g = -2*d - 10. Let w be (g/(-12) + 5/25)*4. Factor -2/15*o**3 + 4/15*o**2 + 0 - w*o.
-2*o*(o - 1)**2/15
Let j(d) = 3*d**3 + 133*d**2 + 909*d + 326. Let l be j(-36). Factor -22/7*c - 2/7*c**3 - 2*c**l - 10/7.
-2*(c + 1)**2*(c + 5)/7
Let -4*s**2 - 5650*s + 11273*s - 5671*s + 256 = 0. Calculate s.
-16, 4
Let m be 24/84 + (-10)/35. Suppose -48*u - 59 + 251 = m. Determine c so that 0*c + 0 - 19*c**u - 5*c**5 - 12/5*c**2 - 64/5*c**3 = 0.
-3, -2/5, 0
Let m(k) be the second derivative of 0*k**2 - 2/5*k**3 + 2/15*k**4 + 19 + 3*k + 1/5*k**5. Factor m(y).
4*y*(y + 1)*(5*y - 3)/5
Let i(h) = 4*h**2 - 147*h - 811. Let x(d) = -2*d**2 - 9*d - 3. Let f(t) = -i(t) - 3*x(t). What is y in f(y) = 0?
-82, -5
Let b(s) be the second derivative of 0 + 5547/2*s**2 + 3/20*s**5 + 1935/2*s**3 - 174*s + 87/4*s**4. Determine r so that b(r) = 0.
-43, -1
Let s = -31 - -50. Let x be s/21 + 0 + (-24)/42. Suppose x + 1/6*q - 1/6*q**2 = 0. What is q?
-1, 2
Let t = -3724/5 + 3726/5. Let l(g) be the first derivative of 0*g**2 - 9 + 0*g + 0*g**3 - t*g**5 - 1/2*g**4. Factor l(c).
-2*c**3*(c + 1)
Factor 323/4 - 1/4*j**2 - 161/2*j.
-(j - 1)*(j + 323)/4
Let d(l) = -33*l**4 + 2586*l**3 - 7869*l**2 + 12*l + 10428. Let k(g) = 3*g**4 + g**3 + 4*g**2. Let q(s) = d(s) + 12*k(s). Factor q(a).
3*(a - 2)**2*(a + 1)*(a + 869)
Suppose -4*r**3 - 29607 + 720196 + 564426 - 89694 + 780*r**2 - 66821 - 50700*r = 0. Calculate r.
65
Let r(l) = -l**2 + 6*l + 9. Let s be r(7). Let g = 190 + -164. Factor -20*m**2 + 42*m**2 - g*m**s - 8*m.
-4*m*(m + 2)
Let s(x) be the first derivative of 9*x**5/5 - 249*x**4/2 + 157*x**3/3 + 222*x**2 - 220*x + 2330. Factor s(g).
(g - 55)*(g + 1)*(3*g - 2)**2
Let t(h) be the first derivative of 3*h**5/40 + 111*h**4/32 - 445*h**3/8 + 3525*h**2/16 - 2132. Determine d, given that t(d) = 0.
-47, 0, 5
Let d(p) be the third derivative of 0 + 0*p + 1/660*p**6 + 0*p**3 + 185*p**2 + 0*p**4 - 3/22*p**5. Factor d(t).
2*t**2*(t - 45)/11
Let u be ((-92)/48*-4)/((-14)/(-287)). Let q = -311/2 + u. Factor q*w**2 + 1/3 + 2*w.
(w + 1)*(5*w + 1)/3
Suppose 0 = 10*z - 1 - 89. Suppose 2*w = 6*b - z*b, b - 17 = 5*w. Factor 0 + 3/2*d**5 - 3/2*d + 0*d**3 - 3*d**b + 3*d**4.
3*d*(d - 1)*(d + 1)**3/2
Suppose -1094*c + 13765 = -15773. Suppose -4*i**3 - 36*i + 1/3*i**4 + c + 18*i**2 = 0. What is i?
3
Let w(l) be the second derivative of -203*l**5/50 + l**4/15 + 203*l**3/15 - 2*l**2/5 + 2*l + 2816. What is n in w(n) = 0?
-1, 2/203, 1
Let z(j) = -j**3 - 14*j**2 + 3*j + 47. Let c be z(-14). Suppose -15 = -4*k + k. Factor i**k + 5*i**c + 4*i**4 + 2*i - 4*i**2 - 8*i**5.
-2*i*(i - 1)**3*(i + 1)
Factor -2464/3 - 2/3*x**3 - 208*x**2 - 824*x.
-2*(x + 2)**2*(x + 308)/3
Let p(l) be the third derivative of l**10/75600 + l**9/2016 + l**5/10 - 65*l**2. Let j(k) be the third derivative of p(k). Solve j(m) = 0.
-15, 0
Let a(k) be the second derivative of -k**6/360 + k**5/30 + 5*k**4/24 - 8*k**3/3 + 2*k + 120. Let q(i) be the second derivative of a(i). Factor q(f).
-(f - 5)*(f + 1)
Let c be (((-50)/4)/5)/(9/(-234)). Let n be (c + -47)*(4/42 + 0). Factor -507/7*m**2 - 156/7*m - n.
-3*(13*m + 2)**2/7
Let m(j) be the first derivative of 49/12*j**2 + 11/9*j**3 - 8/3*j**4 + 5/12*j**6 + j - 219 - 14/15*j**5. Determine p, given that m(p) = 0.
-1, -2/15, 1, 3
Let p(h) be the third derivative of h**6/240 + 7*h**5/24 + 25*h**4/4 + 5*h**2 - 72. Solve p(t) = 0 for t.
-20, -15, 0
Let d(a) be the third derivative of -61/150*a**5 - 7/150*a**6 + 0*a - 7/5*a**4 - 12/5*a**3 - 1/525*a**7 - 46*a**2 + 0. Determine f, given that d(f) = 0.
-6, -1
Let l(d) be the first derivative of 2*d**3/27 - 26*d**2/9 - 1120*d/9 - 2886. Factor l(x).
2*(x - 40)*(x + 14