z*m(k) - 6*v(k). Solve f(i) = 0.
-2, 0
Let v(s) = -s**3 + s**2 - 2*s + 4. Let w be v(0). Let g = 11 - w. Determine q so that -g - 8 - 7*q + 3 - 5*q - 3*q**2 = 0.
-2
Let i = 7194 - 7192. Solve -2/17*m**5 - 30/17*m**3 + 32/17*m - 16/17*m**i + 0 + 16/17*m**4 = 0 for m.
-1, 0, 1, 4
Let b(t) be the second derivative of -t**5/80 - t**4/24 - t**3/24 - 53*t + 3. Factor b(v).
-v*(v + 1)**2/4
Suppose -62 = -15*z + 13. Let d(v) be the first derivative of -1/4*v**2 + 1 + 0*v**4 + 1/12*v**6 + 1/5*v**z - 1/3*v**3 + 0*v. Determine q so that d(q) = 0.
-1, 0, 1
Let x = -293 + 293. Suppose -2*d - 22 = -3*v + 3, -5*v + 4*d + 45 = 0. Solve 2*u**5 + x + 0*u**v + 0 = 0 for u.
0
Suppose -n = 3*t - 12, -n - 9 = -0*t - 4*t. Factor 78 - 15*c**4 - 87*c**t - c**5 + 178 + 7*c**3 - 145*c**2 - 15*c**2.
-(c - 1)*(c + 4)**4
Find z such that -69*z - 108 - 39*z**2 - 60*z - 3*z**3 - 28*z + 13*z = 0.
-6, -1
Let v(m) = 6*m**3 - 69*m**2 - 44*m + 99. Let w be v(12). Suppose -1/2*y - 5/6*y**2 + 1/6*y**4 - 1/6*y**w + 0 = 0. Calculate y.
-1, 0, 3
Let i(u) be the third derivative of -u**7/105 - u**6/40 - u**5/60 + u**2 + 48. Determine k so that i(k) = 0.
-1, -1/2, 0
Factor -288*z - 4*z**2 + 8*z**4 + 14*z**2 + 6*z**2 + 293*z + z**5 + 18*z**3.
z*(z + 1)**3*(z + 5)
Factor 0 - 28*m**3 + 110/3*m**4 - 50/3*m**5 + 136/15*m**2 - 16/15*m.
-2*m*(m - 1)*(5*m - 2)**3/15
Let t be ((-8)/10)/((-6)/225*15). Factor -8/3*p**3 + 2*p**t - 4/9*p + 0 + 10/9*p**4.
2*p*(p - 1)**2*(5*p - 2)/9
Let x(r) be the second derivative of r**5/100 - 4*r**4/15 + 41*r**3/30 - 13*r**2/5 + 23*r - 2. Factor x(m).
(m - 13)*(m - 2)*(m - 1)/5
Let z be 2/(2335/470 + -5). Let u = -62 - z. Solve 0*w**2 + 0 + 0*w + 2/3*w**4 + u*w**3 = 0.
-1, 0
Let g(d) be the second derivative of -7*d**7/75 - 91*d**6/125 - 121*d**5/125 + 158*d**4/75 + 72*d**3/25 + 32*d**2/25 + 3*d - 19. Solve g(x) = 0.
-4, -2, -2/7, 1
Let i(v) be the first derivative of -2*v**3/9 + 60*v**2 - 358*v/3 + 662. Factor i(p).
-2*(p - 179)*(p - 1)/3
Let p(f) = 3*f**2 - f + 1. Let r be p(1). Let -657*x**2 + 658*x**2 - 1 - x**r - 4*x + 5*x = 0. Calculate x.
-1, 1
Let i = 276253/20 + -13817. Let j = -15/4 - i. Let -j*n**2 - 6/5*n + 0 = 0. Calculate n.
-2, 0
Let m(h) be the second derivative of h**5/60 - 5*h**4/4 + 29*h**3/6 - 43*h**2/6 - 17*h - 10. Determine j so that m(j) = 0.
1, 43
Let w be 1 + (-12)/(-16) + (-35)/(-20). Let t(g) be the second derivative of w*g**3 - 7/4*g**4 - 3*g**2 + 3/10*g**5 + 3*g + 0. Let t(a) = 0. What is a?
1/2, 1, 2
Let c(j) be the first derivative of 2*j**5/45 + j**4/3 - 16*j**3/27 - 2*j**2/3 + 14*j/9 + 145. Find n such that c(n) = 0.
-7, -1, 1
Let y(c) = -c**5 - 21*c**4 + 20*c**3 - 8*c**2 + 5*c. Let z = 36 - 41. Let m(k) = -10*k**4 + 10*k**3 - 4*k**2 + 2*k. Let u(t) = z*m(t) + 2*y(t). Factor u(i).
-2*i**2*(i - 2)*(i - 1)**2
Suppose 21*r + r - 3*r = 13*r. What is l in 0*l**4 + 0*l**2 - 1/6*l - 1/6*l**5 + 1/3*l**3 + r = 0?
-1, 0, 1
Solve -2/25*j - 4/25*j**2 + 4/25 + 2/25*j**3 = 0 for j.
-1, 1, 2
Let c(f) = -f**2 - 8*f - 4. Let i(h) = h**3 - 7*h**2 - h. Let z be i(7). Let m be c(z). Factor -9*x**m + 0*x**3 + 6*x**5 + 5*x**3 + 3*x**4 - x**4.
2*x**3*(x + 1)*(3*x - 2)
Let w(a) = -a**3 + 7*a**2 + 2*a - 8. Let y be w(7). Suppose u + h = y, -4*u - 16 + 37 = 3*h. Factor 1/4*v + 1/4*v**2 - 1/4*v**u - 1/4.
-(v - 1)**2*(v + 1)/4
Let b(d) = -d**3 + 21*d**2 - 9*d - 6. Let s be b(21). Let l = s - -197. Factor -16/7*k + 10/7*k**l - 8/7.
2*(k - 2)*(5*k + 2)/7
Find p such that 13/3*p**4 - 1/3*p**2 + 0 + 5*p**3 - 5/3*p + 2/3*p**5 = 0.
-5, -1, 0, 1/2
Let w(t) be the second derivative of t**7/2100 + t**6/450 - t**5/100 - 4*t**3/3 + 15*t. Let a(s) be the second derivative of w(s). Factor a(u).
2*u*(u - 1)*(u + 3)/5
Let p(h) be the first derivative of h**6/6 + 21*h**5/5 + 143*h**4/4 + 299*h**3/3 - 72*h**2 - 320*h - 333. Solve p(y) = 0 for y.
-8, -5, -1, 1
Let b(q) = -3*q**3 - 49*q**2 - 238*q + 5. Suppose -a - 6 + 7 = 0. Let t(h) = h**2 + h + 1. Let n(p) = a*b(p) - 5*t(p). Let n(z) = 0. Calculate z.
-9, 0
Let g be (-15)/((2 - 4)*-1) - -8. Determine f, given that -1/2*f**4 + 0 + 1/2*f**2 + 0*f - 1/2*f**3 + g*f**5 = 0.
-1, 0, 1
Let b(p) be the third derivative of p**8/1680 + p**7/525 - p**6/600 - p**5/150 - 48*p**2 - 1. What is g in b(g) = 0?
-2, -1, 0, 1
Let h(k) = 15*k**4 - 276*k**3 - 2907*k**2 + 6624*k - 3477. Let a(u) = -7*u**4 + 138*u**3 + 1453*u**2 - 3312*u + 1738. Let j(g) = 21*a(g) + 10*h(g). Factor j(y).
3*(y - 1)**2*(y + 24)**2
Suppose 5 = -0*u + u. Factor -u*z + 10 - 5*z**2 + 9*z - 9*z.
-5*(z - 1)*(z + 2)
Let p(u) = u - 16. Let d be p(8). Let k be (0 + -1)/(d + 7). Factor 3 + y**2 + 2*y - 3 + k.
(y + 1)**2
Let w(m) = 2*m**2 - 2*m**2 - 4 - 2*m**2 + m**2. Let x(h) = h**2 + 6. Let t(z) = -7*w(z) - 5*x(z). Factor t(d).
2*(d - 1)*(d + 1)
Let t(b) be the second derivative of b**5 + 0 + 8/15*b**6 + 0*b**2 - 2/3*b**4 - 2/7*b**7 + 0*b**3 + 6*b. Suppose t(l) = 0. Calculate l.
-1, 0, 1/3, 2
Let w(f) be the first derivative of -4/9*f**4 + 4/9*f**3 - 4 + 0*f + 5/36*f**6 - 5/2*f**2 + 1/18*f**5. Let v(d) be the second derivative of w(d). Factor v(o).
2*(o + 1)*(5*o - 2)**2/3
Let i(w) be the second derivative of -w**9/20160 + 9*w**4/4 - 22*w. Let s(z) be the third derivative of i(z). Let s(h) = 0. What is h?
0
Suppose 8 - 76 = -4*l. Let t = 157 - l. Let t - 140 - 3*z**3 = 0. What is z?
0
Let z be (3 - (-72)/(-20))*-5. Determine q so that -230*q**z + 0*q + 226*q**3 + 4*q = 0.
-1, 0, 1
Determine k so that -4*k + 36 - 4*k - 88 - 19*k + 28 - 3*k**2 = 0.
-8, -1
Let v(b) be the third derivative of b**5/60 + 2*b**2 + 43. Find p, given that v(p) = 0.
0
Let v = 187/3 + -62. Let t = v + 1/15. Factor 0*y + 2/5*y**3 + 0 + t*y**2.
2*y**2*(y + 1)/5
Suppose 2 = k - 0. Suppose -2*z = 3*z - 3*g, k*g - 13 = -z. Factor -w - 3*w**2 - 3*w**3 + 4*w + z*w**4 + 0*w**2.
3*w*(w - 1)**2*(w + 1)
Let n(c) be the first derivative of 1/6*c - 1/6*c**2 + 1/18*c**3 + 1. Factor n(x).
(x - 1)**2/6
Let a be (-2 + 0)*(-25)/10. Let z(c) = -3*c**3 + 8*c**2 + 3*c - 3. Let d(t) = -t**3 + 4*t**2 + t - 1. Let x(q) = a*d(q) - 3*z(q). Factor x(y).
4*(y - 1)**2*(y + 1)
Suppose 2*y = -0*n - 3*n + 25, 0 = y + 3*n - 17. Suppose 3*q - 11 = -y. Factor 4 - q + 6*f + f**2 + 6.
(f + 3)**2
Suppose 2*s = -2*s - 5*l + 28, l - 8 = -s. Let r be s/18*3*1. Factor -a**r + 5*a**2 + 56*a - 60*a.
4*a*(a - 1)
Let u(k) be the first derivative of 2*k**3/3 - 4*k**2 - 10*k + 47. Determine h, given that u(h) = 0.
-1, 5
Let l(x) = -11*x**4 + 10*x**3 + 3*x**2 - 10*x - 4. Let b(u) = -9*u**4 + 9*u**3 + 3*u**2 - 9*u - 3. Let r(t) = -4*b(t) + 3*l(t). Factor r(j).
3*j*(j - 2)*(j - 1)*(j + 1)
Let b(r) = -3 - 6*r + r**3 + 7*r + 4. Let f(p) = -7*p**3 + 2*p**2 - 9*p - 9. Let y = -1 - 1. Let u(d) = y*f(d) - 18*b(d). Factor u(i).
-4*i**2*(i + 1)
Suppose -5*h + 9 + 31 = -2*p, -3*h + 55 = 5*p. Let b = h - 9. Solve 6*f - 2*f**3 - b + 2 - 5 = 0 for f.
-2, 1
What is m in -4/7*m**3 + 1/7 + 6/7*m**2 + 1/7*m**4 - 4/7*m = 0?
1
Let x(j) be the third derivative of -j**8/84 + 8*j**7/105 + 3*j**6/5 + 4*j**5/3 + 7*j**4/6 - 73*j**2 - 2*j. Solve x(h) = 0.
-1, 0, 7
Let h(c) = c**3 + 8*c**2 + 7*c. Let s be h(-5). Determine k, given that -10*k**3 - 2*k - 3*k**5 - s*k**4 - 40 - 12*k**5 + 90*k**2 + 35*k**3 - 18*k = 0.
-2, -2/3, 1
Let a = 3843 - 3839. Factor 1/3*p - 1/2*p**2 + 1/6*p**a + 0*p**3 + 0.
p*(p - 1)**2*(p + 2)/6
Suppose 4*w + 2 + 2 = -5*l, 3*w = -5*l - 8. Let j(g) be the first derivative of -16*g + 16*g**2 + 44/3*g**3 + 3*g**w - 5. Factor j(b).
4*(b + 2)**2*(3*b - 1)
Let u(c) be the second derivative of c**7/105 - c**6/60 - c**5/30 + c**4/12 - c**2 + 9*c. Let n(v) be the first derivative of u(v). What is k in n(k) = 0?
-1, 0, 1
Let d(o) be the second derivative of -o**6/135 - 11*o**5/90 - 7*o**4/9 - 64*o**3/27 - 32*o**2/9 - 3*o - 2. Find v, given that d(v) = 0.
-4, -2, -1
Let b(h) = 2*h**3 - 3*h**2 + 28*h - 58. Let s be b(2). Factor 9/4*p**s - 3/2 + 15/4*p.
3*(p + 2)*(3*p - 1)/4
Let a(z) = -4*z + 2. Let l be a(-13). Suppose t + 4*k = l, -4*t + t = 5*k - 183. Factor 6*x - t - 15*x**2 - 6*x**3 + 15*x**4 + 66.
3*x*(x - 1)*(x + 1)*(5*x - 2)
Let k(h) be the second derivative of h**6/135 - h**5/30 + h**4/18 - h**3/27 + 19*h**2 + 44*h. Let p(v) be the first derivative of k(v). What is q in p(q) = 0?
1/4, 1
Let j be (-3)/21 - (71/(-7) - -6). Let u(d) be the second derivative of