*2.
-3*c**2*(c - 1)*(c + 1)
Let d be -3*21/(-84)*(-4)/(-6). Factor 0*t + 1/2 - d*t**2.
-(t - 1)*(t + 1)/2
Suppose 9 + 6 = 5*b. Let c(g) be the first derivative of g**3 + 3*g + 2*g**3 + 3*g**3 + 6 - 3*g**2 - 5*g**b. Find q such that c(q) = 0.
1
Let l be (-172)/(-20) + (-6)/(-15). Suppose l*v = 5*v + 20. Let -4*k**3 - 3*k**2 + 4*k**2 + v*k**3 = 0. Calculate k.
-1, 0
Let c(w) be the first derivative of w**6/57 - 4*w**5/19 + 14*w**4/19 - 16*w**3/19 + 73. Let c(a) = 0. Calculate a.
0, 2, 6
Let d(j) be the second derivative of 19*j - 1/36*j**3 + 0*j**2 + 0 + 1/126*j**7 - 1/60*j**6 - 1/120*j**5 + 1/24*j**4. Determine c, given that d(c) = 0.
-1, 0, 1/2, 1
Let k = -12 - -15. Suppose k*j - 6*j = -12. Find p such that -3*p**2 - 3*p + p + p**2 + j*p**2 = 0.
0, 1
Let z(n) be the second derivative of n**6/480 + n**5/240 - 5*n**4/96 + n**3/8 - 3*n**2 - 9*n. Let c(t) be the first derivative of z(t). Factor c(b).
(b - 1)**2*(b + 3)/4
Find s such that -2/19*s**3 - 8214/19*s + 101306/19 + 222/19*s**2 = 0.
37
What is s in -108/19 - 28/19*s**2 - 138/19*s + 2/19*s**3 = 0?
-3, -1, 18
Let j(n) = -15*n**3 - 64*n**2 - 111*n - 55. Let q(t) = -8*t**3 - 32*t**2 - 56*t - 28. Let b(r) = 4*j(r) - 7*q(r). Factor b(x).
-4*(x + 1)**2*(x + 6)
Let t(x) = -x**3 + 30*x**2 + 177*x + 248. Let m(i) = -6*i**3 + 148*i**2 + 885*i + 1238. Let c(u) = 2*m(u) - 11*t(u). Find d, given that c(d) = 0.
-28, -3
Let y(x) be the second derivative of 7*x**5/110 + x**4/11 - 3*x**3/11 - 8*x**2/11 + 46*x. Let y(i) = 0. What is i?
-1, 8/7
Let r(k) be the second derivative of -k**8/336 - k**7/105 - k**6/120 + 13*k**2/2 - 10*k. Let s(p) be the first derivative of r(p). Factor s(u).
-u**3*(u + 1)**2
Let h = 32 + -4. Let c be (-1 - 1)/12*(h - 38). Solve -c*j**3 + 0 + 2*j**2 - 1/3*j = 0.
0, 1/5, 1
Let g = 17 + -56. Let i(b) = -b - 302 + 595 + 0*b - 295 - 3*b**2. Let r(q) = -19*q**2 - 7*q - 13. Let p(s) = g*i(s) + 6*r(s). Solve p(o) = 0.
0, 1
Let v be (-17)/((-714)/56) + 1 + -1. Solve -2*j + 2/3*j**3 + 0*j**2 - v = 0.
-1, 2
Let y(i) = -i + 2. Let v be y(-5). Suppose -v*k = -0*k - 28. Solve 0 + 0*n**3 - 4/5*n**2 + 4/5*n**k - 2/5*n**5 + 2/5*n = 0 for n.
-1, 0, 1
Factor 2/7*z**3 + 146/7*z - 300/7 + 152/7*z**2.
2*(z - 1)*(z + 2)*(z + 75)/7
Let s(b) be the first derivative of -b**6/120 + b**5/60 - 3*b**2 - 14. Let h(d) be the second derivative of s(d). Find l such that h(l) = 0.
0, 1
Suppose -199 = u - 3*x, 6*u + 629 = 3*u + x. Let a = 425/2 + u. Factor -c + 1/2*c**2 - a.
(c - 3)*(c + 1)/2
Let q(g) = -g**3 + 10*g**2 - 14*g - 11. Let l be q(8). Factor 6 + 14 + 28*d - l*d**2 - 5*d**3 + 50*d - 58*d.
-5*(d - 2)*(d + 1)*(d + 2)
Let m(z) be the second derivative of -13*z**4/18 - 2*z**3/9 - 119*z. Let m(v) = 0. What is v?
-2/13, 0
Let f = 77 - 47. Suppose 3*y - 30 = -2*p, 3*p + 5*y - f = 16. Factor -15/2*i**2 - 3/2*i**3 - p*i - 6.
-3*(i + 1)*(i + 2)**2/2
Solve 16/7*o**2 + 0 + 20/7*o**5 + 16/7*o - 60/7*o**3 + 8/7*o**4 = 0 for o.
-2, -2/5, 0, 1
Factor 8/3*z**3 + 0*z + 32/3*z**2 - 4/3*z**4 + 0.
-4*z**2*(z - 4)*(z + 2)/3
Let j = -281 - -28663/102. Let k = j - -25/51. Factor 1 - 1/2*s**2 + k*s.
-(s - 2)*(s + 1)/2
Let p(w) be the second derivative of w**4/54 + 4*w**3/3 + 201*w - 1. Factor p(o).
2*o*(o + 36)/9
Let p(l) = 20*l**3 - 16 + 32*l - 3*l**2 - 10*l**2 - 16*l**3. Let w(i) = -2*i**3 + 6*i**2 - 16*i + 8. Let u(y) = 4*p(y) + 7*w(y). Factor u(b).
2*(b - 2)**2*(b - 1)
Let k(i) be the first derivative of -i**6/240 - i**5/40 + 3*i**4/16 - 3*i**3 + 9. Let c(n) be the third derivative of k(n). Factor c(x).
-3*(x - 1)*(x + 3)/2
Let c(v) = -2*v**2 + 8*v + 1. Let u(q) = -15*q**2 - 1092*q - 108294. Let s(h) = -6*c(h) + u(h). Factor s(a).
-3*(a + 190)**2
Suppose 6 = v + 9. Let y be (-50)/18 - v - 96/(-54). What is z in z**y - 1/3*z**3 + 2/3*z - z**4 + 0 - 1/3*z**5 = 0?
-2, -1, 0, 1
Let y = -12295/6 - -4101/2. What is q in 0 - 22/3*q**2 + y*q = 0?
0, 2/11
Let s(y) = -150*y + 602. Let r be s(4). Let c(q) be the second derivative of -2/135*q**6 + 5/27*q**3 + 2/9*q**r - 3*q + 0 - 1/18*q**5 + 0*q**4. Solve c(l) = 0.
-2, -1, -1/2, 1
Let j be 1/((-4 - 0) + 1929/(-2)). Let x = 30982/9685 - j. Factor -8*i - 12/5*i**2 + 18/5*i**3 - x.
2*(i - 2)*(3*i + 2)**2/5
Let z be (9/6 + -1)/(-1)*212. Let a = z + 744/7. Factor 0*n + a*n**2 + 0.
2*n**2/7
Let n(t) = t**4 - t**3 - 5*t**2 - 3*t - 4. Let k(o) = -5*o**4 + 5*o**3 + 25*o**2 + 15*o + 22. Let c(u) = -4*k(u) - 22*n(u). Find v such that c(v) = 0.
-1, 0, 3
Determine w so that -14/3*w**3 + 32/3 - 2/3*w**4 - 8*w**2 + 8/3*w = 0.
-4, -2, 1
Let d = -258727/12 + 21577. Let u = -55/4 + d. Determine z, given that -u*z**4 + 8/15*z**2 + 6/5*z - 4/15 - 18/5*z**3 = 0.
-1, 1/4, 2/5
Let w be (-35)/10*(-15 + (-33847)/(-2261)). Factor -w*i**3 + 4/19*i**2 - 16/19 + 8/19*i.
-2*(i - 2)**2*(i + 2)/19
Let t(w) = -10*w**3 - 32*w**2 + 178*w - 370. Let q(x) = x**3 + 2*x**2 - 2*x + 2. Let s(g) = 18*q(g) + 2*t(g). Solve s(d) = 0 for d.
-22, 4
Factor 22/5*h - 12/5*h**2 - 12/5 + 2/5*h**3.
2*(h - 3)*(h - 2)*(h - 1)/5
Let v(p) be the third derivative of p**7/8820 - p**6/2520 - p**4/8 + 3*p**2. Let u(q) be the second derivative of v(q). Factor u(a).
2*a*(a - 1)/7
Suppose -4*h + 5*p = -5 - 6, 0 = -4*h + 3*p + 13. Suppose h*w + 9*w**2 - 6*w**3 - 6 - 4*w + 9*w = 0. What is w?
-1, 1/2, 2
Let h(w) be the second derivative of -w**7/2100 - w**6/450 - w**5/300 + 7*w**3/3 + 9*w. Let t(j) be the second derivative of h(j). Suppose t(u) = 0. What is u?
-1, 0
Solve 26*t**2 + 51*t**2 + 44*t + 284 - 191 - 9*t**2 + 4*t**4 - 44*t**3 - 165 = 0.
-1, 1, 2, 9
Let y = -283 - -289. Let d be 5/(-1)*2/(-5). Factor -3*j**2 - 4*j**4 - d*j**4 + 3*j**5 + 5*j**4 - 9*j**3 + y*j + 4*j**4.
3*j*(j - 1)**2*(j + 1)*(j + 2)
Let t(f) = -f**3 + 7*f**2 + 34*f - 33. Let j be t(10). Let k(i) be the first derivative of -1/8*i**4 + 0*i + j - 1/4*i**2 - 1/3*i**3. Factor k(m).
-m*(m + 1)**2/2
Let n = 8 + -7. Let y be n + (-2 + 2 - -2). Factor -2*w - 2*w**2 + 10*w - 2*w**y + 2 - 6*w.
-2*(w - 1)*(w + 1)**2
Let f(q) be the second derivative of -q**4/42 + 152*q**3/21 - 5776*q**2/7 + q - 46. Factor f(u).
-2*(u - 76)**2/7
Let w = 241 - 238. Let b(t) be the first derivative of -w*t**3 + 0*t + 5 - 3*t**4 + 3/2*t**2. Factor b(v).
-3*v*(v + 1)*(4*v - 1)
Let c(a) = -a - 2. Let g(k) = -13*k**2 - 17*k + 18. Let p(v) = -44*c(v) - 4*g(v). Suppose p(s) = 0. Calculate s.
-2, -2/13
Let o(z) = -z**3 + z**2 - z + 1. Let g(m) = 9*m**2 + 6*m**2 - 9*m**3 - 12*m + 5*m - 7*m**2 + 8. Let y(i) = 5*g(i) - 40*o(i). Factor y(s).
-5*s*(s - 1)*(s + 1)
Determine o so that -4*o**3 + 15*o**2 + 44*o - 112*o - 25*o**2 - 30*o**2 - 32 = 0.
-8, -1
Let a(f) be the first derivative of -f**6/840 - 3*f**5/280 + 4*f**3/3 - 4. Let s(z) be the third derivative of a(z). Factor s(w).
-3*w*(w + 3)/7
Let o(a) be the first derivative of -48/5*a**5 - 13/3*a**6 + 4/3*a**3 - 14 + 0*a + 0*a**2 - 9/2*a**4. Suppose o(i) = 0. What is i?
-1, 0, 2/13
Let q(g) be the second derivative of g**5/20 - 5*g**4/12 - g**3/6 + 5*g**2/2 + 8*g. Factor q(u).
(u - 5)*(u - 1)*(u + 1)
Let r(k) = 1 - k + 2 - 3. Let j be r(0). Factor 0*t**2 + t**2 - 4 + 3*t**2 + j*t**2.
4*(t - 1)*(t + 1)
Let h(s) be the third derivative of -22*s**2 + 0*s**4 - 1/20*s**6 + 0*s**3 + 0*s + 1/105*s**7 + 0 + 1/15*s**5. What is u in h(u) = 0?
0, 1, 2
Let h be (-16)/(-4) - 315*-3. Let y = h + -6625/7. Find d such that 0 - y*d**2 + 4/7*d = 0.
0, 2/9
Let o(a) = 2*a**2 + 17*a + 1. Let h(r) = 4*r**2 + 33*r + 3. Let t(c) = -4*h(c) + 7*o(c). Let s(j) = -2*j**2 - 12*j - 6. Let d(q) = 6*s(q) - 4*t(q). Factor d(k).
-4*(k + 1)*(k + 4)
Let q(x) be the third derivative of x**6/960 + x**5/60 + x**4/12 - 161*x**2. Factor q(i).
i*(i + 4)**2/8
Let b = 13920 + -41632/3. Let 64/3 + 32*m**2 + b*m + 32/3*m**3 + 4/3*m**4 = 0. Calculate m.
-2
Let w be (3/(-6))/(5/(-50)). Suppose 5*r + 2*l = 6*l - 10, 3*r = w*l - 19. Determine a so that -7*a - 2*a**2 + 3*a**r + 5*a = 0.
0, 2
Let 117*o - 340*o**3 - 32 - 504*o**2 + 210*o - 103*o + 112*o = 0. What is o?
-2, 2/17, 2/5
Let f(d) be the third derivative of d**6/240 + d**5/20 + 5*d**4/48 - 10*d**2 + d. Let f(o) = 0. Calculate o.
-5, -1, 0
Determine p so that 20/3*p**4 - 40/3*p**3 + 50/3 + 5/3*p**5 + 35/3*p - 70/3*p**2 = 0.
-5, -1, 1, 2
Let u = 47/14 + 1/7. Let a be (-3)/(3 + -2 + -2). Determine y so that -15*y**a + 0 - 4*y - 18*y**2 - u*y**4 = 0.
-2, -2/7,