 - 14*v**2 - 9*v + 10. Let b(s) = 4*r(s) + 11*u(s). Let b(i) = 0. What is i?
-1, 1, 2
Suppose 0*f - 3*v - 10 = -5*f, 2*v = -3*f + 6. Let d(i) = 2*i - 4. Let m be d(2). Factor -r**2 + m*r**3 + r**3 + r - r**f.
r*(r - 1)**2
Let b(c) = 7*c**2 - 7*c**2 - 9*c**3 + 3*c**3 - 4 + 6*c + 4*c**4. Let y(x) = 9*x**4 - 12*x**3 - x**2 + 12*x - 8. Let j(a) = -5*b(a) + 2*y(a). Factor j(d).
-2*(d - 2)*(d - 1)**2*(d + 1)
Let u(v) be the third derivative of v**7/315 + v**6/180 - v**5/90 - v**4/36 + 18*v**2. Suppose u(t) = 0. Calculate t.
-1, 0, 1
Suppose 5*k = 4*f - 0*f + 23, 5*f = 4*k - 40. Let h be (2/f)/((-26)/117). Suppose 1/2 + h*l**2 + l**3 - 9/4*l = 0. What is l?
-2, 1/4, 1
Let q be (-16)/90 + (-3 - (-68)/20). Let o = -2/1023 + 1370/3069. Determine b so that -q*b**2 - o - 2/3*b = 0.
-2, -1
Factor -4*h - 4*h**2 - 5 + 5*h**3 - h**3 + 9.
4*(h - 1)**2*(h + 1)
Let h(r) be the second derivative of -r**6/14 + 27*r**5/140 - 3*r**4/28 - r**3/14 - r. Find c such that h(c) = 0.
-1/5, 0, 1
Factor 23/3*z + 32/3*z**2 - 5/3*z**3 - 14/3.
-(z - 7)*(z + 1)*(5*z - 2)/3
Let w(n) be the first derivative of 1/4*n**2 + 0*n + 27/16*n**4 - 23/20*n**5 + 7/24*n**6 + 3 - 13/12*n**3. Find b such that w(b) = 0.
0, 2/7, 1
Let x(h) be the third derivative of 3*h**8/112 + 2*h**7/21 + h**6/30 - 3*h**5/10 - 13*h**4/24 - h**3/3 + 52*h**2. Determine v, given that x(v) = 0.
-1, -2/9, 1
Let t(w) be the second derivative of -w**6/30 - w**5/20 + w**4/12 + w**3/6 + 5*w. Determine b so that t(b) = 0.
-1, 0, 1
Let n(t) = -t**2 + t. Let u(c) = -8*c**2 + 2*c. Let g(h) = -6*n(h) + u(h). Factor g(p).
-2*p*(p + 2)
Let h(u) = u**2 - 4*u - 4. Let z be h(-5). Let n = 45 - z. Solve 2/3*r**n + 2/3 + 8/3*r**3 + 8/3*r + 4*r**2 = 0 for r.
-1
Let o = 883/161 + -90/23. Let u = o - 37/28. Factor 0 + u*q**2 + 0*q.
q**2/4
Let j be (-6925)/225 + (-4)/18. Let h = j + 221/7. Factor 2/7*r + h - 2/7*r**2.
-2*(r - 2)*(r + 1)/7
Let b(i) = -i**2 + 13*i + 14. Let q be b(14). Factor 0 + 0*v + q*v**2 - 1/3*v**4 + 2/3*v**3.
-v**3*(v - 2)/3
Let k(o) be the first derivative of o**4/18 + 2*o**3/27 - 4*o**2/9 - 8*o/9 - 7. Suppose k(f) = 0. What is f?
-2, -1, 2
Let q(b) be the second derivative of b**8/26880 + b**7/10080 - b**4/12 - 2*b. Let g(u) be the third derivative of q(u). Determine d, given that g(d) = 0.
-1, 0
Let v = 121/4 + -603/20. Let c(g) be the second derivative of -v*g**4 - 1/5*g**2 + 0 - 3*g - 1/3*g**3 + 9/50*g**5. Factor c(f).
2*(f - 1)*(3*f + 1)**2/5
Let r be (-2 + 1 - -2)*2/24. Let h(z) be the third derivative of 0 + 2*z**2 + r*z**4 + 1/60*z**6 + 0*z + 0*z**3 - 1/15*z**5. What is n in h(n) = 0?
0, 1
Let n(o) = o**2 + 3*o - 1. Let x be n(-4). Find f such that -3/2*f**x - 3/2*f - 3*f**2 + 0 = 0.
-1, 0
Let a(s) = -s + 4. Let m be a(0). Determine r, given that -2*r**m - 4*r**4 + 6*r**2 - 3*r + 0*r + 3*r**5 = 0.
-1, 0, 1
Let t(b) be the first derivative of -4*b**3/3 + 2*b**2 + 4. Factor t(g).
-4*g*(g - 1)
Let h(y) = -y**3 + 12*y**2 - 11*y + 3. Let g be h(11). Suppose g - 18 = -3*o. Find p such that -12*p**4 - 8*p**2 - 8/5*p + 0 - 74/5*p**3 - 18/5*p**o = 0.
-1, -2/3, 0
Suppose -3*s - s + 20 = 0. Suppose f + 28 = s*f. Suppose -16*i**2 + f*i - 1 + 8*i - 7*i = 0. Calculate i.
1/4
Let o = 4 - 2. Let z(w) = 5*w**2 + 9*w + 7. Let c(h) = -h - 1. Let u(p) = o*z(p) + 14*c(p). Solve u(i) = 0.
-2/5, 0
Let p(s) be the first derivative of s**4/4 + s**3 + s**2 - 3. Find w, given that p(w) = 0.
-2, -1, 0
Factor 0 + d**3 + 0*d**2 + 0*d - 1/3*d**4.
-d**3*(d - 3)/3
Let i(f) = -f**3 + 7*f**2 - 7*f + 8. Let n be i(6). Let h(c) be the first derivative of -2/3*c + 1/9*c**3 - 1/6*c**n - 4. Find a such that h(a) = 0.
-1, 2
Let k(s) be the second derivative of -s**6/10 + 9*s**4/4 + 2*s**3 - 18*s**2 + 14*s. Factor k(z).
-3*(z - 3)*(z - 1)*(z + 2)**2
Let b = -8 + 11. Factor 4*x**2 - 3*x**2 - b*x**3 - x**4 + 4*x**4 - x**5.
-x**2*(x - 1)**3
Let x(q) be the third derivative of -q**5/90 - 23*q**4/18 - 529*q**3/9 + 72*q**2. Suppose x(h) = 0. What is h?
-23
Let -3*w**4 + 1529 + 9*w**3 - 1529 - 6*w**2 = 0. Calculate w.
0, 1, 2
Let w(k) be the third derivative of -k**5/40 + k**4/8 + 9*k**2. Determine s so that w(s) = 0.
0, 2
Let y be (-26)/(-65) + 26/10. Let z(f) be the second derivative of 1/50*f**5 + 1/5*f**2 - f - 1/30*f**4 + 0 - 1/15*f**y. Factor z(g).
2*(g - 1)**2*(g + 1)/5
Let x(u) be the first derivative of 1/3*u**3 + 2 + 3*u**2 + 9*u. Factor x(g).
(g + 3)**2
Let l = 3/152 - -2/19. Let p(x) be the first derivative of -l*x**2 - 1/6*x**3 + 1/4*x + 1. Factor p(k).
-(k + 1)*(2*k - 1)/4
Let i(q) = q**3 - 8*q**2 + 7*q + 7. Let g be i(7). Let v be (g/(-21))/(7/(-18)). Factor -v*a**2 + 2/7*a**3 + 6/7*a - 2/7.
2*(a - 1)**3/7
Let l(w) be the first derivative of 2*w**3/21 + 2*w**2/7 + 2*w/7 + 36. Solve l(i) = 0.
-1
Let o(i) = -3*i + 41. Let d be o(13). Solve 218/5*l**4 - 168/5*l**5 + 0 + 4/5*l - 36/5*l**3 - 18/5*l**d = 0.
-2/7, 0, 1/4, 1/3, 1
Let w(c) be the first derivative of 0*c**2 - 1/360*c**6 + 0*c**5 + 0*c**4 + 0*c - 3 + 2/3*c**3. Let n(v) be the third derivative of w(v). Factor n(u).
-u**2
Let j = -158 - -653/4. Determine z, given that 0 + j*z**3 + 4*z**2 + z + 9/4*z**4 = 0.
-1, -2/3, 0
Let b = 0 + 2. Factor -5*w**2 - 3 + 2*w**2 + b*w - 8*w + 0*w**2.
-3*(w + 1)**2
Solve 4/5*w**3 + 0*w + 0 + 1/5*w**2 = 0 for w.
-1/4, 0
Let q(g) = -g**3 - 1. Let t(d) = 6*d**3 - 6*d**2 - 6*d + 6. Suppose r - 16 = 5*r - 5*n, 2*r + 2 = n. Let p(c) = r*t(c) + 8*q(c). Factor p(h).
-2*(h + 1)**3
Let r(l) be the second derivative of 4*l - 1/18*l**4 + 1/90*l**6 + 0*l**5 + 1/6*l**2 + 0*l**3 + 0. Factor r(p).
(p - 1)**2*(p + 1)**2/3
Let c(o) be the first derivative of -o**4/4 - 2*o**3/3 - o**2/2 + 3. Find d such that c(d) = 0.
-1, 0
Let f(m) be the second derivative of m**7/231 - m**5/110 + 11*m. Factor f(k).
2*k**3*(k - 1)*(k + 1)/11
Let j(c) be the first derivative of -c**7/630 + c**5/60 + c**4/36 - 5*c**2/2 + 3. Let w(q) be the second derivative of j(q). Determine y so that w(y) = 0.
-1, 0, 2
Let n be ((-3)/3 + 1)*(0 - -1). Factor 1/3*m + n*m**2 - 1/3*m**3 + 0.
-m*(m - 1)*(m + 1)/3
Let z(g) be the second derivative of g**5/180 - g**4/18 + 2*g**3/9 + 3*g**2/2 - 3*g. Let r(u) be the first derivative of z(u). Factor r(x).
(x - 2)**2/3
Let o(h) be the first derivative of 7*h**5/10 - h**4/4 - 7*h**3/6 + h**2/2 + 26. Factor o(p).
p*(p - 1)*(p + 1)*(7*p - 2)/2
Suppose 0 = -2*s - 4*n + 12, 5*s + n = 7 - 4. Factor -6*k + 2*k**3 - 8*k**2 + s*k**3 + 14*k.
2*k*(k - 2)**2
Let c(u) be the second derivative of 1/9*u**4 + 1/9*u**3 + 0 + 1/24*u**5 + 1/180*u**6 + 0*u**2 + 4*u. Factor c(i).
i*(i + 1)*(i + 2)**2/6
Let l = -137 + 968/7. Let -3/7*s**2 - 12/7*s - l = 0. Calculate s.
-3, -1
Let a(n) = -n**5 + n**3 + n**2 - 1. Let y(v) = -10*v**4 + 2 + 0 - 4 - 7*v**2 + 1 - 15*v**3 - 3*v**5. Let k(o) = -a(o) + y(o). Solve k(j) = 0.
-2, -1, 0
Let c = 56 - 56. What is r in 0*r + c - 1/3*r**3 + 0*r**2 + 1/3*r**5 + 0*r**4 = 0?
-1, 0, 1
Suppose 4*w = 5*f - 45, -f = -w - 0 - 10. Determine h, given that 3*h**2 - 10 + f*h + h + 12 + h**2 = 0.
-1, -1/2
Let q(a) = -a**3 - a + 1. Let r(p) = p**4 - 3*p**3 + 9*p**2 + 3*p - 3. Let t = 13 - 14. Let i(m) = t*r(m) - 3*q(m). Factor i(v).
-v**2*(v - 3)**2
Let i = 9 + -5. Factor 0 + w**3 + 3*w**i - 5/3*w**2 + 1/3*w.
w*(w + 1)*(3*w - 1)**2/3
Let n be (10/(-15))/(2/(-3)). Let c = 3 + n. Factor 2*q + c*q**2 + 3 + 2*q**3 - 3 + 0*q**3.
2*q*(q + 1)**2
Suppose -15 = -3*m - 2*i - i, -i + 21 = 5*m. Factor m*r**2 + 3*r**2 + 3*r - 10*r**2 - 3*r**3 + 3.
-3*(r - 1)*(r + 1)**2
Determine a so that 3 - 14 - 5 + 0 - 4*a**2 - 16*a = 0.
-2
Let a = 196/801 + -2/89. What is l in 0 + 2/9*l - a*l**3 + 0*l**2 = 0?
-1, 0, 1
Factor 14*c**4 + 8*c - 8*c - 4*c**3.
2*c**3*(7*c - 2)
Let d(h) = h**2 - 7*h - 4. Let t(j) = 4*j + 3. Let x(l) = -9*l - 7. Let y(n) = -7*t(n) - 3*x(n). Let o(g) = 4*d(g) - 28*y(g). Let o(v) = 0. Calculate v.
-2, 2
Let r = -5 - -5. Let z = r - 0. Suppose -2*k**4 - k**3 + 3*k**4 + z*k**3 = 0. Calculate k.
0, 1
Let v(u) = u. Let l(q) = -q. Let d(b) = -5*l(b) - 4*v(b). Let o(g) = g**2 + 7*g. Let y(w) = 5*d(w) - o(w). Suppose y(i) = 0. Calculate i.
-2, 0
Let g(x) be the second derivative of x**6/105 + x**5/35 - x**4/14 - 8*x**3/21 - 4*x**2/7 + 31*x. Find z such that g(z) = 0.
-2, -1, 2
Let i(j) be the first derivative of -2*j**3/21 - 6*j**2/7 - 18*j/7 + 6. Find n such that i(n) 