2 + 9*v - 44. Let t(a) = 17*b(a) - 8*c(a). Suppose t(s) = 0. Calculate s.
4, 13
Let q = -24654 - -24656. Let j(z) be the first derivative of -23 - 1/32*z**4 + 27/8*z + 9/16*z**q - 1/8*z**3. Factor j(u).
-(u - 3)*(u + 3)**2/8
Suppose 60*w**3 - 735*w**2 - 144*w**2 + 755 - 760*w + 696*w**3 + 4*w**3 - 5*w**4 + 129*w**2 = 0. Calculate w.
-1, 1, 151
Let w(x) be the third derivative of -x**9/25200 - x**8/11200 + x**4/8 - 43*x**3/6 - 168*x**2. Let k(s) be the second derivative of w(s). Factor k(n).
-3*n**3*(n + 1)/5
Determine b so that -26/7*b - 10/7*b**3 + 37/7*b**2 - 1/7*b**4 + 0 = 0.
-13, 0, 1, 2
Let c be (-39)/(-39)*(-3)/(-1). Determine b, given that -21*b**c + 21*b**5 - 31*b + 6*b**2 + 35*b - 4*b - 6*b**4 = 0.
-1, 0, 2/7, 1
Let p(o) be the first derivative of 9*o**5/5 + 15*o**4/2 - 5*o**3 - 30*o**2 + 36*o - 3794. Suppose p(l) = 0. What is l?
-3, -2, 2/3, 1
Let d(a) be the second derivative of 1/95*a**5 + 0*a**2 - 2 + 76*a + 8/285*a**6 - 1/114*a**4 + 0*a**3. Factor d(l).
2*l**2*(2*l + 1)*(4*l - 1)/19
Let l(r) be the second derivative of r**5/210 + 79*r**4/126 + 76*r**3/21 - 29*r + 66. Suppose l(t) = 0. Calculate t.
-76, -3, 0
Let k(g) = -37*g**3 + 245*g**2 - 22*g + 33. Let v(i) = -10*i**3 + 61*i**2 - 6*i + 9. Let r(c) = 3*k(c) - 11*v(c). Solve r(z) = 0.
0, 64
Suppose 4*k - 36 = 5*z, -3*k = 48*z - 53*z - 32. Factor 75/4*j**k + 18*j**2 - 3*j + 0 - 135/4*j**3.
3*j*(j - 1)*(5*j - 2)**2/4
Find d such that 191*d + 268*d**2 + 118*d + 197*d - 122*d - 2*d**3 + 160*d = 0.
-2, 0, 136
Let s(u) = -19*u + 14. Let t be s(-2). Determine p, given that -147*p**3 - 2*p**5 - 64*p + t*p**4 + 9*p**3 + 164*p**2 - 12*p**4 = 0.
0, 1, 2, 16
Let c(o) be the first derivative of -48/7*o**3 + 32/35*o**5 - 8/7*o + 22/7*o**4 + 31/7*o**2 - 64. Determine s, given that c(s) = 0.
-4, 1/4, 1/2
Factor 435*x**2 - 430 + 8351*x**3 - 8*x**4 - 425*x - 7926*x**3 + 3*x**4.
-5*(x - 86)*(x - 1)*(x + 1)**2
Suppose 50 = 918*u - 913*u. Suppose 13*t + u = 15*t + 3*h, -5*t = 2*h - 14. Find b such that 0 + 1/4*b**t + 1/4*b = 0.
-1, 0
Let 416/7*l**2 + 3*l**4 - 150/7*l**3 - 1/7*l**5 - 384/7*l + 0 = 0. Calculate l.
0, 2, 3, 8
Let f = 5387/7172 + -2/1793. Let m(k) be the first derivative of -1/3*k**3 + 1/12*k**6 + 0*k**5 + f*k**2 + k - 6 - 1/2*k**4. Factor m(o).
(o - 2)*(o - 1)*(o + 1)**3/2
Factor 24*z**4 - 662/7*z**3 + 988/7*z**2 - 1/7*z**5 + 164/7 - 657/7*z.
-(z - 164)*(z - 1)**4/7
Let t(j) be the second derivative of -3*j**5/20 + 22*j**4 - 173*j**3/2 + 129*j**2 + 5174*j - 1. Factor t(z).
-3*(z - 86)*(z - 1)**2
Let d be 0 - 4/(-12)*6. Factor 2 + 112*a**4 - 6*a**3 - 136*a**4 + 4*a**d - 14*a**5 - 2.
-2*a**2*(a + 1)**2*(7*a - 2)
Let v(q) = -6*q**2 + 18*q - 67. Let m(y) = 7*y**2 - 14*y + 66. Let o(s) = 2*s**2 - 12*s - 5. Let g be o(6). Let a(c) = g*m(c) - 6*v(c). Factor a(t).
(t - 36)*(t - 2)
Suppose 13 = -y + 17. Let i(v) = -5*v**3 + 10*v**2 - 5*v. Let l(s) = 6*s**3 - 11*s**2 + 4*s + 1. Let z(w) = y*l(w) + 5*i(w). Factor z(r).
-(r - 4)*(r - 1)**2
Factor 1978/15*c**2 + 1576/3 - 2/15*c**3 - 7888/15*c.
-2*(c - 985)*(c - 2)**2/15
Let j be (-9197)/15 + 3 + (3 - 6). Let v = -613 - j. Factor v*s**2 + 0 + 2/15*s.
2*s*(s + 1)/15
Let l(b) = 9*b**2 - 13*b - 7. Let n(f) = -f + 1. Let m = -114 + 125. Suppose -7*c + 25 = m. Let h(t) = c*l(t) + 6*n(t). Factor h(y).
2*(y - 2)*(9*y + 2)
Let f(o) = o**3 + 388*o**2 - 445*o - 877. Let w(l) = -l**3 - 404*l**2 + 443*l + 876. Let r(i) = 2*f(i) + 3*w(i). What is g in r(g) = 0?
-437, -1, 2
Let g(r) be the first derivative of r**7/2520 - r**6/540 - r**5/45 + 7*r**3/3 + 5*r**2/2 + 52. Let c(k) be the third derivative of g(k). Factor c(y).
y*(y - 4)*(y + 2)/3
Let l = -23739 - -23744. Let y(t) be the first derivative of -5/26*t**4 + 6/65*t**l - 2/39*t**3 + 38 + 5/13*t**2 - 4/13*t. Determine x, given that y(x) = 0.
-1, 2/3, 1
Let d(l) be the first derivative of -l**6/45 - 4*l**5/25 + l**4/10 + 8*l**3/9 + 4*l**2/5 - 801. Find i, given that d(i) = 0.
-6, -1, 0, 2
Let w(a) = 4*a**4 + 12*a**3 + 34*a**2 + 20*a + 6. Let q(x) = 13*x**4 + 36*x**3 + 107*x**2 + 60*x + 18. Let o(y) = -2*q(y) + 7*w(y). Factor o(j).
2*(j + 1)**3*(j + 3)
Factor -416/3*v - 1/3*v**2 + 139.
-(v - 1)*(v + 417)/3
Let q = -160 - -163. Let r be q + -1 - ((-363)/(-18))/11. What is x in 0*x + 8/3*x**3 + 0 + 0*x**2 + r*x**5 - 4/3*x**4 = 0?
0, 4
Find g, given that -531*g**2 - 145*g - 144 - g**4 + 356*g**3 - 9*g**4 - 211*g + 685*g**2 = 0.
-1, -2/5, 1, 36
Let k be (12 - 10934/910)*-13. Let s(d) be the first derivative of -1/5*d - 1/15*d**3 + k*d**2 + 10. What is t in s(t) = 0?
1
Let n = -51 + 394. Let t = n - 1027/3. Determine a, given that 4/3*a**2 - 1/3*a**4 - 2/3*a - 1 + t*a**3 = 0.
-1, 1, 3
Let o(j) be the first derivative of 2*j**3/15 + 1168*j**2/5 + 682112*j/5 + 1989. Suppose o(t) = 0. Calculate t.
-584
Let a(d) = -39*d**3 + 1740*d**2 - 252*d. Let w(y) = 195*y**3 - 8697*y**2 + 1262*y. Let j(c) = 29*a(c) + 6*w(c). Factor j(l).
3*l*(l - 44)*(13*l - 2)
Suppose -3*v + 1900 = 2*v - 2*k, -v = 5*k - 353. Let j = 380 - v. Let 0*b - b**j + 4/3 - 1/3*b**3 = 0. Calculate b.
-2, 1
Let u(v) be the second derivative of -2/3*v**3 - 4/3*v**4 - 3/5*v**5 + 63*v + 0*v**2 + 0. Factor u(l).
-4*l*(l + 1)*(3*l + 1)
Let n(a) be the third derivative of -a**5/15 + 31*a**4/6 - 116*a**3/3 - 1174*a**2. Solve n(d) = 0.
2, 29
Let v(q) be the second derivative of -q**5/30 - q**4 + 15*q**3 + 17*q**2 - 2*q - 10. Let s(w) be the first derivative of v(w). Suppose s(p) = 0. What is p?
-15, 3
Let l(y) be the first derivative of y**7/6720 - 19*y**6/2880 - y**5/960 + 19*y**4/192 + y**3 - 33. Let x(j) be the third derivative of l(j). Factor x(q).
(q - 19)*(q - 1)*(q + 1)/8
Suppose -4*d - 18 = -2*y, -y + d = -2*y. Let w be (-12)/(-10)*((-55)/(-2))/11. Factor -35*o**4 - w*o + 32*o**4 + 6*o + 2*o**2 - 3*o**y + o**2.
-3*o*(o - 1)*(o + 1)**2
Let t(p) be the third derivative of 0*p**3 - 4*p**2 + 1/40*p**6 - 1/336*p**8 - 1/420*p**7 + 7/120*p**5 + 0*p + 1/24*p**4 - 1. Solve t(i) = 0.
-1, -1/2, 0, 2
Let z(u) = u**2 + 2*u - 11. Let l be z(4). Suppose -l*p = -12*p - 48. What is i in -39*i**3 + 12 + p*i - i**4 - 9*i**2 - 7*i**4 - 4*i**4 = 0?
-2, -1/4, 1
Let d(z) be the second derivative of -z**6/105 - 76*z**5/35 + 51*z**4/14 + 2657*z + 2. Solve d(v) = 0.
-153, 0, 1
Let c be (-16)/(-6292)*-11*-13. Factor 0 - c*l**2 - 6/11*l.
-2*l*(2*l + 3)/11
Let p(v) = -v**2 - v - 1. Let h(i) = 2*i + 5*i**2 - 56 - 55 + 112. Let a(b) = -h(b) - 4*p(b). Factor a(k).
-(k - 3)*(k + 1)
Suppose 820 = -7*h + 841. Let v be (-2 - -2)/((-9 + 15)/h). Factor 0 - 1/3*q**4 - 4/3*q**3 + v*q - 4/3*q**2.
-q**2*(q + 2)**2/3
Let i(c) be the first derivative of -4*c**3/3 - 568*c**2 + 2288*c + 3036. Factor i(d).
-4*(d - 2)*(d + 286)
Let w(h) be the third derivative of h**8/504 - 2*h**7/15 + 13*h**6/60 + 41*h**5/45 + 408*h**2. Find p, given that w(p) = 0.
-1, 0, 2, 41
Factor -74*l**2 - 67 + 37*l**2 + 40*l**2 + 5*l - 146 + 205*l.
3*(l - 1)*(l + 71)
Let p = 2195122 + -2195119. Determine c, given that 0 + 20/9*c + 34/9*c**2 + 2/3*c**p = 0.
-5, -2/3, 0
Let z(v) be the first derivative of 2*v**3/39 + 114*v**2/13 + 1696*v/13 - 6111. Factor z(i).
2*(i + 8)*(i + 106)/13
Let p(c) be the second derivative of -c**5/300 + 11*c**4/120 - c**3/3 + 11*c**2/2 - 9*c. Let j(w) be the first derivative of p(w). Solve j(y) = 0 for y.
1, 10
Let c(n) be the first derivative of n**8/336 - n**7/42 + n**6/15 - n**5/15 - 3*n**2/2 - n - 46. Let k(r) be the second derivative of c(r). Factor k(s).
s**2*(s - 2)**2*(s - 1)
Find k such that 2/3*k**5 + 0*k - 4/3*k**2 - 2*k**3 + 0 + 0*k**4 = 0.
-1, 0, 2
Factor -4*l**4 - 16*l**3 + 148*l**2 + 42*l**3 - 2*l**4 + 7*l**4 + 15*l**3.
l**2*(l + 4)*(l + 37)
Let v(t) = -t**4 - t**3. Let i(m) = -10*m**4 - 8*m**3 + 16*m**2 - 4*m. Let d(q) = q - 9. Let x be d(6). Let g(s) = x*v(s) + i(s). What is z in g(z) = 0?
-2, 0, 2/7, 1
Let q be 524/24 + (-55)/66. Let c be -1*(-6)/(-48) - q/(-40). Solve -18/5 - 4*k - c*k**2 = 0.
-9, -1
Let v be (-8)/(-2)*300/160*4/15. Let r(n) be the first derivative of -3/5*n**5 + 0*n + 9/4*n**4 - 35 - 2*n**3 + 0*n**v. Suppose r(a) = 0. Calculate a.
0, 1, 2
Let h be (1460/13505)/((-4)/(-74)). Factor 8/3 - 20/9*c + 4/9*c**h.
4*(c - 3)*(c - 2)/9
Suppose 9303363/2*o + 5283/2*o**2 + 5461074081/2 + 1/2*o**3 = 0. What is o?
-1761
Let p(w) be the third derivative of 0*w**3 + 17/20*w**4 + 0