*5 + 0*d**3 + 10*d**2 + 0*d**4. Factor b(z).
-z**2*(z - 2)*(z + 1)**2/7
Let c(i) be the third derivative of i**6/120 + 3*i**5/20 + i**4/4 - 8*i**3/3 - 426*i**2. Factor c(q).
(q - 1)*(q + 2)*(q + 8)
Let p(t) = t**3 - 13*t + 2. Let h be p(0). Find k such that 4/11 + 2/11*k**3 + 12/11*k**4 - 2/11*k - 16/11*k**h = 0.
-1, -2/3, 1/2, 1
Let b(x) be the first derivative of 13 + 3/2*x**4 - 1/2*x**3 + 0*x - 6/5*x**5 + 0*x**2. Factor b(t).
-3*t**2*(2*t - 1)**2/2
Let b(f) = -f**3 + 26*f**2 - 2*f + 52. Let t be b(26). Suppose t = 17*x - 0*x - x. Solve x + 1/5*q - 2/5*q**2 = 0.
0, 1/2
Suppose -72*i = -68*i + 3*q - 18, 19 = 5*i + 2*q. Let v(n) be the first derivative of 6*n**2 + 2/3*n**i + 18*n + 5. Let v(o) = 0. What is o?
-3
Let p(u) = -2*u + 8. Let f be p(3). Suppose f*y - 26*y - y**2 - 3 - 15*y**2 - 6 = 0. What is y?
-3/4
Let w(f) = -f**3 + 4*f**2 + f + 1. Let s be w(4). Suppose -4*g + s = -7. Factor -3*p**5 + 2*p**5 + p**4 - p**2 + p**g - 58*p + 58*p.
-p**2*(p - 1)**2*(p + 1)
Let y = 4561/134 + -36/67. Let n = 35 - y. Factor 15/4*x - n - 3/4*x**3 + 3/4*x**4 - 9/4*x**2.
3*(x - 1)**3*(x + 2)/4
Let a(c) = 57*c**2 - 1. Let x be a(1). Let f be (-3 + 4/4)*(1 - 2). Solve -x*r**5 + 16*r**3 + 4*r**3 - 3*r**4 + 60*r**5 - 13*r**4 - 8*r**f = 0 for r.
0, 1, 2
Let v(o) = -8*o**2 - 32*o + 12. Let c(z) = 3*z**2 + 13*z - 5. Let q(l) = 12*c(l) + 5*v(l). Suppose q(k) = 0. Calculate k.
-1, 0
Let a = -1187 + 235007/198. Let q = a + 5/18. What is o in -q*o**3 - 2/11*o**2 + 2/11*o + 2/11 = 0?
-1, 1
Suppose -3*g - 50 = -4*g. Let h be (-6)/(-2) - (-180)/g. Let 0 + 27/5*m**3 - 3/5*m - 3/5*m**2 - h*m**4 + 12/5*m**5 = 0. What is m?
-1/4, 0, 1
Let f(y) = -277*y**2 - 269*y - 54. Let b(j) = 4*j**2 - 2*j. Let x be b(-1). Let a(w) = -46*w**2 - 45*w - 9. Let m(p) = x*f(p) - 34*a(p). Factor m(h).
-2*(7*h + 3)**2
Let z(x) be the third derivative of x**9/75600 - x**7/6300 - x**5/5 + 20*x**2. Let n(k) be the third derivative of z(k). Factor n(c).
4*c*(c - 1)*(c + 1)/5
Suppose 0 = 5*s + x - 22, -5*x = 2*s - 4*x - 7. Factor 38 - 38 + 5*l + 5*l**s + 17*l**3 - 27*l**3.
5*l*(l - 1)**2*(l + 1)**2
Let y(m) be the first derivative of -m**4/4 + 13*m**3/3 + 8*m**2 - 28*m + 108. Factor y(q).
-(q - 14)*(q - 1)*(q + 2)
Let u = -18511/9 - -2057. Factor -u + 0*c**3 + 0*c + 4/9*c**2 - 2/9*c**4.
-2*(c - 1)**2*(c + 1)**2/9
Let s(u) be the second derivative of -1/45*u**4 + 0*u**3 - 6*u + 7/150*u**5 + 0 + 0*u**2 - 1/45*u**6. Factor s(n).
-2*n**2*(n - 1)*(5*n - 2)/15
Let t(a) = -5*a**4 - 20*a**3 + 20*a**2 + 30*a - 25. Let s(y) = -5*y**4 - 19*y**3 + 19*y**2 + 31*y - 26. Let m(c) = -5*s(c) + 4*t(c). Factor m(b).
5*(b - 1)**2*(b + 2)*(b + 3)
Let x(q) be the second derivative of -q**4/12 - 37*q**3/6 - 18*q**2 + 8*q. Suppose x(v) = 0. What is v?
-36, -1
Find x, given that 2*x**4 - 16*x - 18*x**2 + 15*x + 55*x - 6*x**3 = 0.
-3, 0, 3
Let p(q) be the second derivative of -1/480*q**6 + 3*q + 1/16*q**4 + 1/3*q**3 + 1/160*q**5 + 0*q**2 + 0. Let r(a) be the second derivative of p(a). Factor r(j).
-3*(j - 2)*(j + 1)/4
Let l(d) be the third derivative of -d**7/27720 - d**6/2640 - d**5/660 - 17*d**4/24 - 8*d**2. Let p(g) be the second derivative of l(g). Factor p(w).
-(w + 1)*(w + 2)/11
Suppose r + 6 = -0*r - 2*q, -5*r = -2*q - 30. Determine i so that -i**4 + 3*i**r - 6*i**3 + 248*i**2 - 245*i**2 + i**4 = 0.
0, 1
Let x(f) be the second derivative of -161*f**4/78 - 32*f**3/39 + 4*f**2/13 - 467*f. Find z such that x(z) = 0.
-2/7, 2/23
Let h = -57 - -59. Suppose -3*r**2 - 17 + h*r**2 + 26 + 6*r + 2*r**2 = 0. Calculate r.
-3
Let t be -5 + 21*3/9. Let h(w) be the first derivative of 1/3*w**3 + 0*w**t + 2 + 0*w - 1/2*w**4 + 1/5*w**5. Solve h(b) = 0 for b.
0, 1
Suppose -25/2*q**2 + 45/2 + 5/4*q**3 + 35/4*q = 0. What is q?
-1, 2, 9
Let a = 51 - 27. Suppose -a = -2*p + 10. Let p*l + 6*l**2 - 15*l**2 + 7*l - 12 = 0. Calculate l.
2/3, 2
Let l(z) be the first derivative of 5*z**6/6 - 2*z**5 - 95*z**4/4 - 140*z**3/3 - 30*z**2 + 4. Let l(v) = 0. What is v?
-2, -1, 0, 6
Let a(s) be the second derivative of 15*s - 1/6*s**3 + 1/72*s**4 + 3/4*s**2 + 0. Factor a(r).
(r - 3)**2/6
Let -2*l**2 + 0 + 0*l + 20/3*l**3 - 9/2*l**4 + 5/6*l**5 = 0. What is l?
0, 2/5, 2, 3
Let d(h) be the first derivative of 5*h**3/3 + 10*h**2 - 99. Determine s so that d(s) = 0.
-4, 0
Let x(m) = -m**2 - 8*m + 3. Let c be x(-9). Let g = c - -6. Let 3*f - 6*f**2 - 2 + 5*f**2 + g = 0. Calculate f.
1, 2
Suppose -109*o + 2*d - 6 = -107*o, 2*d = 5*o - 9. What is f in 5/2*f**5 + 25/2*f**2 - 15/2*f**3 + 0 - 5/2*f**4 - o*f = 0?
-2, 0, 1
Let t = -3455 + 3455. Factor t*i**3 + 0 + 0*i + 1/4*i**5 + 0*i**2 + 1/2*i**4.
i**4*(i + 2)/4
Determine y, given that 10*y**2 + 10*y**3 + 5/2*y + 0 = 0.
-1/2, 0
Let x be (-70)/(-15) + 2/(-3). What is i in -9*i**3 - 18*i**x + 8*i**3 + 17*i**4 + i**5 + i**2 = 0?
-1, 0, 1
Let -2287 - 24*g**2 + 8*g + 2287 - 50*g**3 - 18*g**4 = 0. What is g?
-2, -1, 0, 2/9
Let m be (10*5/(-120))/((-20)/8). Let s(i) be the first derivative of -1/6*i**2 - 1/6*i**3 - 7 + m*i. Solve s(u) = 0.
-1, 1/3
Suppose 194*i - 30 = -30. Factor i + 0*o - o**2 + 1/4*o**4 - 3/4*o**3.
o**2*(o - 4)*(o + 1)/4
Let v(h) = -11*h**2 + 3*h**2 - 3*h**2 + 10*h**2. Let y(k) = 2*k**3 - 16*k**2 + 6*k + 18. Let g(t) = -6*v(t) + y(t). Factor g(s).
2*(s - 3)**2*(s + 1)
Factor -298/11*t + 2/11*t**3 + 146/11*t**2 + 150/11.
2*(t - 1)**2*(t + 75)/11
Let w(p) be the third derivative of p**8/896 - 3*p**7/140 + 13*p**6/80 - 3*p**5/5 + p**4 + 22*p**2 - 2. Determine q so that w(q) = 0.
0, 2, 4
Let z(w) be the third derivative of 0*w + 49/36*w**3 + 1/720*w**6 + 14*w**2 + 0 + 1/24*w**5 + 7/16*w**4. What is a in z(a) = 0?
-7, -1
Let h be 2/(-4)*4 - 4. Let v(o) = 15*o**2 + 9*o + 6. Let s(m) = -14*m**2 - 10*m - 6. Let p(c) = h*s(c) - 5*v(c). Factor p(l).
3*(l + 1)*(3*l + 2)
Let f(p) be the first derivative of 2*p**3/3 + 8*p**2 + 30*p + 291. Find a such that f(a) = 0.
-5, -3
Let y(u) be the first derivative of -u**6 + 26*u**5/5 + 33*u**4/2 - 6*u**3 - 50*u**2 - 48*u + 327. Suppose y(t) = 0. What is t?
-1, 4/3, 6
Let z = -83192/5 + 16639. Factor -1/5*f**4 - f**3 - z*f - 7/5*f**2 + 0.
-f*(f + 1)**2*(f + 3)/5
Let n(t) = -4*t + 3. Let b(z) = -z + 1. Let m(y) = -9*b(y) + 2*n(y). Let h be m(11). Determine r, given that 7*r**2 + h*r**2 - 9 - 24*r - 3 = 0.
-2/5, 2
Factor 25/3*n**4 + 1/3 + 2*n**5 + 10/3*n + 10*n**2 + 40/3*n**3.
(n + 1)**4*(6*n + 1)/3
Let q(h) be the first derivative of -6*h**6 + 28*h**5/5 + 29*h**4 - 4*h**3 - 40*h**2 - 16*h + 179. Solve q(z) = 0 for z.
-1, -2/9, 1, 2
Suppose 3*y - n = -0*y + 6, 2*y - 3*n - 11 = 0. Let w be (-12)/(-6) + 3*y. Solve 3*g**5 - g**w - 2*g**3 + 2*g**4 - 14*g**2 + 12*g**2 = 0.
-1, 0, 1
Let g(n) be the second derivative of n**5/90 - 7*n**4/54 + 16*n**3/27 - 4*n**2/3 + 13*n + 4. What is z in g(z) = 0?
2, 3
Let r(s) = -5*s**5 + 49*s**3 - 20*s**2 - 64*s + 4. Let x(d) = -d**3 + d - 1. Let f(k) = -r(k) - 4*x(k). What is n in f(n) = 0?
-3, -1, 0, 2
Factor 1/6*l**4 + 15/2*l**2 + 0 - 2*l**3 - 25/3*l.
l*(l - 5)**2*(l - 2)/6
Let z(c) = c**2 + c - 3. Let m(r) = -r**2 + 79*r - 289. Let o(k) = m(k) - 3*z(k). Solve o(t) = 0.
5, 14
Suppose -m + 7 = k, k + 18 - 23 = 0. Let d(u) be the second derivative of 0 + 0*u**4 - 3/20*u**5 - 3*u + 0*u**m + 0*u**3. Solve d(l) = 0 for l.
0
Let p be -1 - (-5 - (-3 + 1)). Let a be p - 1*(-1)/1. Factor -4 - 2 + 0 + 0 + a*m + 3*m**2.
3*(m - 1)*(m + 2)
Suppose j + 2*j - 56 = 2*v, -4*j + v + 78 = 0. Let y be 10/25 - (-92)/j. Factor -5*f - 3*f**2 - y*f + 4*f + 0*f**2 - 3.
-3*(f + 1)**2
Let m(c) be the first derivative of 2*c**2 + 2/15*c**3 + 9 + 10*c. Determine y, given that m(y) = 0.
-5
Let q(u) = 2*u**3 - 2*u**2 + 3. Let m be q(1). Suppose -2*p = 3*n + 4, -m*p + 10 = -5*p. Solve 0 + 1/6*j**3 + 1/6*j + 1/3*j**n = 0 for j.
-1, 0
Suppose -c - 8 = -6*c - 3*m, m + 12 = 2*c. Suppose -3*q + 2*q - 2 = 0, 0 = 2*i + 3*q - 2. Solve -3*a + 7*a + 5 - a**i + c*a - 2 + 6*a**2 = 0 for a.
-1, 3
Factor 3/4*m**2 + 45/4*m + 27.
3*(m + 3)*(m + 12)/4
Let v(f) be the second derivative of -3*f**2 + 1/2*f**3 + 1/4*f**4 + 0 + 26*f. Factor v(s).
3*(s - 1)*(s + 2)
Let u(i) be the second derivative of -i**4/102 + 22*i**3/17 - 1089*i**2/17 + 278*i. Factor u(o).
-2*(o - 33)**2/17
Suppose 4 + 2 = 3*m. Suppose 2*y - 16*o = -19*o + 35, -6*o = -y + 10. Factor 20*p**3 + y*p**m + 0 + 16/5*p.
4*p*(5*p + 