vative of -35*g + 15/4*g**5 - 1/6*g**6 + 65/6*g**3 + 0 + 0*g**2 - 45/4*g**4. Find b such that l(b) = 0.
0, 1, 13
Suppose 37*u - 39 - 19 - 16 = 0. Let k(t) be the first derivative of -15/8*t**2 + 9/2*t - 1/4*t**3 + u. Factor k(b).
-3*(b - 1)*(b + 6)/4
Let c(f) be the third derivative of 4/9*f**3 - 2*f**2 + 1/180*f**5 + 0 - 1/12*f**4 + 26*f. Factor c(v).
(v - 4)*(v - 2)/3
Let z be (-32)/(-8)*(14 - (-2850)/(-204)). Find s such that 48/17*s**2 + 0 - 32/17*s - z*s**3 - 2/17*s**5 - 12/17*s**4 = 0.
-4, 0, 1
Determine h so that 279/2 + 51*h - 51*h**3 - 138*h**2 - 3/2*h**4 = 0.
-31, -3, -1, 1
Let d(u) be the first derivative of 0*u + 3/8*u**2 - 1/12*u**3 + 36. Determine q, given that d(q) = 0.
0, 3
Let n be (25/(-550))/(10/(-165)). Factor 12 + n*t**3 + 15*t + 6*t**2.
3*(t + 2)**2*(t + 4)/4
Let v be (101 - 110)/(2910/4). Let u = v + 2449/1940. Factor u*c**2 - 1/4*c**3 + 3/4 - 7/4*c.
-(c - 3)*(c - 1)**2/4
Let g(i) = 55*i - 9*i**3 - 59*i - 9*i**2 - i**4 + 21 - 24. Let z(f) = f**4 + 2*f - f**2 - 2*f - f - 1. Let r(k) = g(k) - 3*z(k). Let r(s) = 0. What is s?
-1, -1/4, 0
Let q = -4741 - -4746. Let h(b) be the second derivative of 0*b**3 + 0*b**2 - 8*b - 3/20*b**q + 3/4*b**4 + 0. Find k such that h(k) = 0.
0, 3
What is m in -159*m - 12*m**4 - 210*m**2 - 14*m**3 + 382*m + 222*m**2 + 144 - 133*m**3 + 365*m = 0?
-12, -2, -1/4, 2
Let o(k) be the third derivative of 1/42*k**7 - 1/24*k**6 + k**2 - 40*k + 0*k**3 + 0 - 1/3*k**5 + 5/6*k**4. Find y, given that o(y) = 0.
-2, 0, 1, 2
Suppose 142 + 593 = 15*l. Let z = l + -45. Factor -10 + 20*m**3 + 22*m**2 + 20*m**z - 21*m + 5*m**5 - 32*m**2 - 4*m.
5*(m - 1)*(m + 1)**3*(m + 2)
Let f(x) be the third derivative of -x**7/3360 + x**6/240 - x**5/96 + 23*x**3/3 + 164*x**2. Let q(j) be the first derivative of f(j). Find k such that q(k) = 0.
0, 1, 5
Let a be (2 - (-5)/(-15))*5245/(-25). Let k = -348 - a. Factor k + 10/3*m**2 + 5*m.
5*(m + 1)*(2*m + 1)/3
Let f be (-297542)/56*4/(-5). Let v = f - 4229. Factor -36/5*c**3 + 0 - v*c**2 + 0*c - 3/5*c**4.
-3*c**2*(c + 6)**2/5
Let t(q) = 7*q**2 - 48*q - 112. Let l(j) = j**2 - 1. Let n(d) = -5*d**2 - 8*d - 7. Let k be n(-1). Let w(y) = k*l(y) + t(y). Let w(u) = 0. What is u?
-2, 18
Factor -113714 + 116009 + 84*c - c**2 - 2*c**2.
-3*(c - 45)*(c + 17)
Let w be -8 + (19 - 9) + 0. Factor 72*d**2 - 25*d**w - 16*d**2 - 15*d**2 - 16200 + 360*d - 18*d**2.
-2*(d - 90)**2
Let i be (-1)/(-4) - 9/((-72)/(-346)). Let o = 47 + i. Find f, given that -1/5*f**o - 8/5*f**2 + 0 + 4/5*f + f**3 = 0.
0, 1, 2
Let a(v) be the second derivative of -v**5/25 - 13*v**4/15 - 64*v**3/15 - 8*v**2 + 167*v - 2. Factor a(p).
-4*(p + 1)*(p + 2)*(p + 10)/5
Let k(i) be the first derivative of -3 + 1/12*i**3 + 11/48*i**4 + 1/16*i**5 - 15*i + 0*i**2. Let q(z) be the first derivative of k(z). Factor q(a).
a*(a + 2)*(5*a + 1)/4
Let z(y) be the second derivative of -y**5/60 - 11*y**4/18 - 79*y**3/18 + 17*y**2 + 6*y - 65. Determine t so that z(t) = 0.
-17, -6, 1
Determine z, given that -1/7*z**3 + 8/7*z**2 - 13/7*z + 6/7 = 0.
1, 6
Let z(o) = -o**4 - 177*o**3 + 321*o**2 + 1185*o + 682. Let k(i) = -12*i**4 - 1770*i**3 + 3210*i**2 + 11850*i + 6819. Let l(c) = 2*k(c) - 21*z(c). Factor l(n).
-3*(n - 57)*(n - 4)*(n + 1)**2
Let i(n) = -n**2 + 18*n - 16. Let l be i(16). Solve -f**4 - f**4 - l*f + 812*f**2 + 4*f**3 - 804*f**2 = 0 for f.
-2, 0, 2
Let d = 19671 + -19666. Let l(b) be the third derivative of 1/180*b**6 - 1/1008*b**8 + 0*b**4 + 1/630*b**7 + 0*b**3 + 0*b + 12*b**2 + 0 + 0*b**d. Factor l(c).
-c**3*(c - 2)*(c + 1)/3
Let v(y) be the third derivative of -7/160*y**5 - 3/16*y**3 - 11/32*y**4 + 4*y**2 + 6 + 0*y. Suppose v(t) = 0. Calculate t.
-3, -1/7
Suppose 5138*n - 5145*n - 104 = -3*g, 5*g - 4*n = 66. Factor -1/3*y**4 - 5/3*y + 0 + 5/3*y**3 + 1/3*y**g.
-y*(y - 5)*(y - 1)*(y + 1)/3
Let l(q) = 510*q**3 - 4715*q**2 + 74060*q - 68210. Let c(h) = -13*h**3 + 121*h**2 - 1899*h + 1749. Let b(t) = -235*c(t) - 6*l(t). Factor b(w).
-5*(w - 9)*(w - 1)*(w + 39)
Let q = -159334 - -478013/3. Solve q*l**2 + 0 + 10/9*l - 7/9*l**3 = 0 for l.
-2/7, 0, 5
Let l be 2 + 0 + 2 - (-2976)/(-837). Let h(x) be the third derivative of -49/90*x**5 - 31*x**2 + 0 - l*x**3 + 0*x - 7/9*x**4. Find o, given that h(o) = 0.
-2/7
Let v(z) be the first derivative of -4*z**3 - 223*z**2 - 74*z - 652. Find h, given that v(h) = 0.
-37, -1/6
Suppose -4*y - 2*a = -10, 3*y + 3*a - 30 = 6*a. Let g = 5 + y. Find w, given that -270*w**4 + 255*w**4 + g*w**5 - 5*w**5 + 15*w**2 + 4*w - 14*w + 5*w**3 = 0.
-1, 0, 1, 2
Let p(j) = j**2 - j + 1. Let l(y) be the third derivative of y**5/30 + y**4/24 + y**3/6 + 3*y**2 - y. Let v(g) = -l(g) + p(g). Factor v(x).
-x*(x + 2)
Factor 23409/2*p**2 + 2 - 306*p.
(153*p - 2)**2/2
Let y(j) be the second derivative of 145/138*j**4 - 20/23*j**3 - 15/23*j**5 - 8/483*j**7 + 9/23*j**2 - 177*j + 4/23*j**6 + 0. Factor y(p).
-2*(p - 3)**2*(2*p - 1)**3/23
Let r = 34 + -37. Let w be (-18)/(-21)*(-7)/r. Find l, given that -64/3*l - 160*l**w + 116/3*l**4 - 320/3*l**3 + 64/3 + 28*l**5 = 0.
-2, -1, -2/3, 2/7, 2
Factor -f**5 - 251*f**2 + f**3 - 10*f**4 - 18*f**3 + 243*f**2.
-f**2*(f + 1)**2*(f + 8)
Solve 1/4*b**4 + 12555*b + 77841/4 + 3771/2*b**2 - 45*b**3 = 0 for b.
-3, 93
Factor 136080*a + 3*a**3 - 83652 - 1269*a**2 - 291583 - 21665.
3*(a - 210)**2*(a - 3)
Let k = 24094 - 24094. Let u(x) be the second derivative of 0 + 1/15*x**6 + 0*x**3 + 1/5*x**5 + 1/6*x**4 + k*x**2 - 4*x. Solve u(y) = 0 for y.
-1, 0
Suppose -365*q**2 - 121/2*q**4 - 684*q + 704*q**3 + 891/2 = 0. Calculate q.
-1, 9/11, 11
Suppose 4*d + n - 8 = -0*n, 5*d + 4*n - 10 = 0. Factor 4*o**3 + 2*o**d + 5*o**2 + 4 + 4 + 14*o - 3*o**3.
(o + 1)*(o + 2)*(o + 4)
Factor 4860*d - 43*d**3 + 378*d**2 + 551*d**4 + 457*d**4 - 64152 - 1007*d**4.
(d - 18)**3*(d + 11)
Let j(m) be the second derivative of m**7/42 - 11*m**6/30 + 23*m**5/10 - 23*m**4/3 + 44*m**3/3 - 16*m**2 - 1637*m. Factor j(r).
(r - 4)*(r - 2)**3*(r - 1)
Factor 118*p + 172*p - 2*p**2 + 408 - 246*p - 2*p**2.
-4*(p - 17)*(p + 6)
Let x(s) be the second derivative of s**7/126 - s**5/6 + 5*s**4/9 - 5*s**3/6 + 2*s**2/3 + 1016*s + 1. Factor x(q).
(q - 1)**4*(q + 4)/3
Let x(q) be the third derivative of 49*q**8/408 + 742*q**7/255 + 2919*q**6/340 - 1013*q**5/51 + 787*q**4/51 - 104*q**3/17 - 1583*q**2. Let x(m) = 0. What is m?
-13, -3, 2/7
Let -26*k**2 - 79/3*k + 0 + 1/3*k**3 = 0. What is k?
-1, 0, 79
Let t(f) = 5*f**2 + 4*f - 41. Let b be t(-6). Let y = b + -112. Factor 0 + 0*p**2 + 3/2*p**4 - 3/2*p**y + 0*p.
3*p**3*(p - 1)/2
Let k be 1*-1 + 6 - 945/(-35). Let m(o) = -o**2 + 34*o - 64. Let d be m(k). Factor 0*h - 3/7*h**2 + d - 3/7*h**4 + 6/7*h**3.
-3*h**2*(h - 1)**2/7
Let a be (-1*(-2)/(-10) + 6/5)*5. Let i(c) be the second derivative of 1/5*c**a + 0*c**4 + c**2 - 7*c - 2/3*c**3 - 1/15*c**6 + 0. Factor i(j).
-2*(j - 1)**3*(j + 1)
Let g(x) = x**2 + 2140*x - 10724. Let z be g(5). Solve z + 0*q**3 + 7/3*q**2 + 17/6*q - 1/6*q**5 - 2/3*q**4 = 0.
-3, -1, 2
Suppose 0 = -v + 283 - 280. Let i(g) be the third derivative of -7/27*g**4 + g**2 + 16/27*g**v + 0*g + 1/45*g**5 + 0. Factor i(y).
4*(y - 4)*(3*y - 2)/9
Let n(z) be the second derivative of z**5/130 - 5*z**4/13 + 161*z**3/39 - 11120*z. Factor n(a).
2*a*(a - 23)*(a - 7)/13
Factor 250/9 + 2/9*t**4 + 256/9*t**3 + 84*t**2 + 752/9*t.
2*(t + 1)**3*(t + 125)/9
Suppose 3*v - 6 = -2*l, 2*v = 4*l - 0*l - 12. Suppose 0 = l*m + 3*q, -4 = 3*m + 4*q + q. Factor -1 + m*z**2 + z**2 + 3*z + z**3 - 3*z**2 - 3*z**2.
(z - 1)**3
Let c be ((-46941)/(-60))/(10 - (-473)/(-44)). Let l = -1043 - c. Factor 16/15*r + 0 + l*r**2.
2*r*(r + 8)/15
Let r be (-18)/(-2) - (-12 + 13)*6. Let c be (r - 1) + (-12)/(-84)*-13. Factor -c*w**5 + 0 + 2/7*w**2 - 2/7*w**4 + 0*w**3 + 1/7*w.
-w*(w - 1)*(w + 1)**3/7
Let w = 631 - 655. Let t be ((-3)/w*-6)/((-102)/16). Factor 0*z + t*z**2 + 0.
2*z**2/17
Let s(u) be the first derivative of 30*u + 5/2*u**2 + 5/4*u**4 - 137 - 20/3*u**3. Suppose s(y) = 0. Calculate y.
-1, 2, 3
Let m(a) be the third derivative of a**7/105 + a**6/4 + 59*a**5/30 + 15*a**4/4 + 1584*a**2. Find w, given that m(w) = 0.
-9, -5, -1, 0
Let r(g) = -g**3 + 12*g**2 - 24*g + 167. Let x be r(11). Let s(h) be the first derivative of 1/8*h**4 - 2*h + 2/3*h**3 - 1/4*h**2 - x. Factor s(q).
(q - 1)*(q + 1)*(q + 4)/2
Let s(f) be the first derivativ