 -10. Let z(i) be the first derivative of 1/7*i**2 + 2/7*i**3 + 0*i + 3/14*i**4 + 2 + 2/35*i**v. Find k such that z(k) = 0.
-1, 0
Let v(j) be the first derivative of -3*j**5/50 - j**4/6 - j**3/15 + j**2/5 - 2*j + 3. Let d(x) be the first derivative of v(x). Suppose d(m) = 0. What is m?
-1, 1/3
Let s(k) be the first derivative of -1/2*k - 5 + 1/6*k**3 + 0*k**2. Determine t, given that s(t) = 0.
-1, 1
Let w(x) be the first derivative of x**4/6 - 2*x**3/9 - x**2/3 + 2*x/3 + 2. Find h, given that w(h) = 0.
-1, 1
Let b = -340 + 344. Let -3/5*c**b + c**2 + 1/5*c**3 - 2/5 - 1/5*c = 0. What is c?
-1, -2/3, 1
Suppose -7*m - 30 = -12*m. Suppose 2*f = m*f. Let f - 1/2*a**3 + 0*a - 1/2*a**2 = 0. What is a?
-1, 0
Solve 6*k**5 + 4 + 8*k - 39*k - 30*k**5 + 38*k**3 - 18*k**2 + 14*k**4 + 17*k = 0 for k.
-1, -2/3, 1/4, 1
Let n(v) = 6*v**3 + 4*v**3 - 13*v**2 + 1 + 8 - 5*v**3 - v. Let p(s) = -5*s**3 + 13*s**2 - 8. Let o(q) = 4*n(q) + 5*p(q). Let o(d) = 0. What is d?
-2/5, 1, 2
Let r(y) be the second derivative of 2*y**7/21 + 2*y**6/3 + 6*y**5/5 - 4*y**4/3 - 16*y**3/3 - 2*y. Solve r(z) = 0 for z.
-2, 0, 1
Let o(i) be the first derivative of -2*i**5/5 + 4*i**4 - 16*i**3 + 32*i**2 - 32*i + 44. Factor o(p).
-2*(p - 2)**4
Let m(t) = 2*t**4 - t**3 - t**2 + 3*t - 3. Let a(u) = -u**2 + 4*u - 1. Let l be a(4). Let k(i) = -i**4 + i**3 - i + 1. Let y(o) = l*m(o) - 3*k(o). Factor y(c).
c**2*(c - 1)**2
Let o(y) be the third derivative of 3*y**2 + 0*y + 0 + 1/24*y**4 + 1/240*y**5 + 1/6*y**3. Suppose o(x) = 0. What is x?
-2
Suppose 12*j - 16 = 8*j. Factor 5*n**3 - 2*n**3 + j*n**3 - n**3 + 3*n - 6 + 15*n**2.
3*(n + 1)*(n + 2)*(2*n - 1)
Let z(u) = -u + 3. Let g be z(2). Suppose 0 = -3*c - 0*c + 15. Factor g - 2*b + 3*b**2 + 1 - c*b**2 + 2*b**3.
2*(b - 1)**2*(b + 1)
Suppose 8*q - 25*q = 0. Solve -2/9*o**4 - 2/9*o**3 + 0*o**2 + q*o + 0 = 0 for o.
-1, 0
Factor -x + 3*x - 4 + 6 - 2*x**2 + 2.
-2*(x - 2)*(x + 1)
Suppose 0 = -n - n + 4*w + 38, -n - 2*w = -15. Suppose 5*s - n = -3*m, 3*s - m = 4*m + 17. Factor -2/5*i + 0 - 1/5*i**s + 1/5*i**2 + 2/5*i**3.
-i*(i - 2)*(i - 1)*(i + 1)/5
Let s = 562 - 557. Let -52/5*j**2 - 22/5*j**3 + 16/5 + 24/5*j**4 + 2*j**s + 24/5*j = 0. What is j?
-2, -2/5, 1
Let g(a) be the second derivative of -a**6/1620 + a**4/108 + 2*a**3/3 - 3*a. Let f(q) be the second derivative of g(q). Determine d so that f(d) = 0.
-1, 1
Let u(i) be the third derivative of i**6/240 + i**5/20 + i**4/4 + 2*i**3/3 + 7*i**2. Suppose u(r) = 0. Calculate r.
-2
Factor -6/17*t**2 + 2/17*t**3 + 4/17*t + 0.
2*t*(t - 2)*(t - 1)/17
Let u(n) be the first derivative of 5*n**4/4 + 5*n**3/3 + 60. Factor u(m).
5*m**2*(m + 1)
Determine g so that 0*g**2 - 2/5*g**3 + 0 - 2/5*g**5 - 4/5*g**4 + 0*g = 0.
-1, 0
Let d(z) = 8*z**4 - z**3 - 3*z**2 - 3. Let q(h) = 15*h**4 - 3*h**3 - 5*h**2 - 5. Let j(s) = 5*d(s) - 3*q(s). What is l in j(l) = 0?
0, 4/5
Let i(c) be the third derivative of c**5/150 + c**4/12 + 2*c**2 + 9*c. Factor i(n).
2*n*(n + 5)/5
Let j be -4 - 1*9/(-2). Find d, given that d**3 + 0 + 1/2*d**2 - d - j*d**4 = 0.
-1, 0, 1, 2
Let f(m) = m**2 + 5*m + 1. Let y be f(-3). Let q = y + 7. Factor -q*t**4 + t**5 - 4*t**3 + t**4 + 3*t**3 + t**2.
t**2*(t - 1)**2*(t + 1)
Let c(z) be the second derivative of 9*z**5/110 + 25*z**4/66 + 4*z**3/11 - 4*z**2/11 + 16*z. Suppose c(o) = 0. Calculate o.
-2, -1, 2/9
Suppose 5*a - 25 = 2*z, 0 = -a + 3*a - z - 11. Solve 0 + 1/3*k**2 + 0*k**a + 0*k - 1/3*k**4 = 0 for k.
-1, 0, 1
Let w(x) = -24*x**3 - 6*x**2 + 24*x + 6. Let z(y) = -y**3 + y. Let k(j) = -w(j) + 9*z(j). Factor k(b).
3*(b - 1)*(b + 1)*(5*b + 2)
Let c = -9769259/7 + 1390584. Let g = c + 5033. Suppose -24/7*u**2 + 0 + 8/7*u + 50/7*u**5 + g*u**4 - 22/7*u**3 = 0. What is u?
-1, 0, 2/5
Let m(s) be the third derivative of -7*s**5/120 - 11*s**4/96 - s**3/12 + 11*s**2. Factor m(l).
-(2*l + 1)*(7*l + 2)/4
Suppose h + 248 = -4*w, 3*w - 5*h + 272 = -w. Let a = 129/2 + w. Suppose 0 - 9/2*f**4 + 1/2*f + a*f**3 + 5/2*f**2 = 0. What is f?
-1/3, 0, 1
Find g such that 5*g**2 - 19 - 26 + 5*g + 15 = 0.
-3, 2
Let j be ((-6)/4)/((-6)/4). Let n = j - -1. Factor -w + 0*w**2 + n*w**2 + 5*w + 2.
2*(w + 1)**2
Let n(l) be the first derivative of 1/90*l**5 - 2*l + 0*l**2 + 1/27*l**4 + 2 + 1/27*l**3. Let k(v) be the first derivative of n(v). Factor k(y).
2*y*(y + 1)**2/9
Suppose 2*t - y = 8, -5*t + 12 = -y - 2. Let p be 1 - (t - 3)/(-1). Factor 50/7*m**5 + 10/7*m**4 - 32/7*m**3 + 8/7*m**2 + 0 + p*m.
2*m**2*(m + 1)*(5*m - 2)**2/7
Determine n, given that 2*n + 4/5*n**2 + 4/5 - 8/5*n**3 - 8/5*n**4 - 2/5*n**5 = 0.
-2, -1, 1
Determine k, given that 0 + 0*k**2 + 0*k - k**4 + k**3 + 1/4*k**5 = 0.
0, 2
Suppose 4*s - 5*t = 71, -4*s - s = -2*t - 76. Suppose -4*d + s = -2. What is c in 0*c - 2/3*c**2 + 2/3*c**d + 0 + 2/3*c**3 - 2/3*c**5 = 0?
-1, 0, 1
Let p(b) be the first derivative of b**6/18 + 8*b**5/15 + 5*b**4/3 + 10*b**3/9 - 7*b**2/2 - 6*b - 23. Suppose p(o) = 0. What is o?
-3, -2, -1, 1
Suppose 6*a - 8*a + 22 = 0. Suppose -a = -5*y - 1. Factor 4/9*q**y + 2/9*q + 2/9*q**3 + 0.
2*q*(q + 1)**2/9
Suppose 0 = -w - 3 + 3. Solve -1/4*t + 1/4*t**2 + w = 0.
0, 1
Let f(j) = -j**3 - 4*j**2 - 3*j. Let v be f(-5). Let z = -37 + v. Let 0*x + 0 + 1/3*x**z + 0*x**2 - x**4 = 0. Calculate x.
0, 1/3
Factor 0 + 2*z**4 + 2*z**2 + 4 + 16*z**2 + 14*z + 10*z**3.
2*(z + 1)**3*(z + 2)
Let h(w) be the third derivative of w**6/240 + w**5/60 - w**4/48 - w**3/6 + w**2 + 47. Factor h(x).
(x - 1)*(x + 1)*(x + 2)/2
Suppose 3*u - 4*z - 7 = 0, -15 = -u - 5*z + 19. Factor -u*g**2 + 6*g - 5*g**3 - 12*g**3 - 7*g**3 - 9*g**4.
-3*g*(g + 1)*(g + 2)*(3*g - 1)
Suppose 5*p - 3*g - 22 = 0, -p + 6*p + 5*g = -10. Factor z**2 + 4*z + 3*z**2 - 5*z**p + 2 + 3*z**2.
2*(z + 1)**2
Let f(k) be the second derivative of k**6/45 - k**5/10 + k**4/18 + k**3/3 - 2*k**2/3 + 2*k. Factor f(q).
2*(q - 2)*(q - 1)**2*(q + 1)/3
Suppose 5*v = -0*b + b - 16, -3*b + 5*v = -28. Let p be (b/9)/((-2)/(-12)). Find w such that 4*w**3 - 2*w**2 + p*w**2 - 2*w**3 = 0.
-1, 0
Let z(q) = -q**2 + 6*q - 3. Let c be z(5). Suppose -8 = -f - 3*f. Suppose -3*l**2 + 3*l**3 - 6*l**3 + 2*l**3 + 2*l**f + c*l = 0. Calculate l.
-2, 0, 1
Suppose 3*o - 11 = 1. Let m(f) be the third derivative of 0*f + 0*f**o + 2*f**2 + 0 + 0*f**3 + 1/540*f**6 - 1/270*f**5. Factor m(q).
2*q**2*(q - 1)/9
Let y = -38/39 + 891/910. Let c(v) be the third derivative of 0*v**4 + 0*v + 0*v**6 - 1/45*v**5 + v**2 + 1/1008*v**8 + y*v**7 + 0*v**3 + 0. Factor c(n).
n**2*(n - 1)*(n + 2)**2/3
Let n be (2/10)/((-9)/(-36)). Factor 1/5 + 6/5*a**2 + 4/5*a**3 + 1/5*a**4 + n*a.
(a + 1)**4/5
Let f = -3 - -7. Let q(y) be the third derivative of 0*y**3 - 1/30*y**5 + 0 + 0*y - 1/105*y**7 + 0*y**f + 2*y**2 + 1/30*y**6. Factor q(h).
-2*h**2*(h - 1)**2
Let l(z) = z**2 + z + 1. Let q(k) = -5*k**2 - 11*k - 8. Let u(y) = 2*l(y) + q(y). Determine v so that u(v) = 0.
-2, -1
Factor -28*o**3 - 5*o**2 - 2*o**2 + 12*o + 8 - 5*o**2 - 12*o**4.
-4*(o + 1)**3*(3*o - 2)
Let i = 9 + -7. Let d(y) be the first derivative of 2*y**2 - y**4 + 0*y**3 - i - 2/5*y**5 + 2*y. Let d(z) = 0. Calculate z.
-1, 1
Let f(t) = 3*t**3 - 6*t**2 + 6*t + 3. Let v(b) = 6*b**3 - 12*b**2 + 13*b + 7. Let y(o) = 7*f(o) - 3*v(o). Suppose y(n) = 0. What is n?
0, 1
Let o(l) = -l**3 - 3*l**2 + 5*l + 6. Suppose 0 = 3*x - 4*x - 4. Let w be o(x). Factor 2/5*k**4 + 0 + 4/5*k - w*k**2 - 2/5*k**5 + 6/5*k**3.
-2*k*(k - 1)**3*(k + 2)/5
Let b(n) be the second derivative of 0 + 4/3*n**2 + 10/3*n**3 - 2*n + 25/12*n**5 + 25/6*n**4. Find r, given that b(r) = 0.
-2/5
Let g(m) be the first derivative of 5*m**3/3 + 15*m**2/2 - 20*m - 14. Let g(i) = 0. What is i?
-4, 1
Let t(y) be the second derivative of -y**6/35 + 3*y**5/28 - y**4/7 + y**3/14 - 8*y. Factor t(g).
-3*g*(g - 1)**2*(2*g - 1)/7
Let z(g) = -5*g**3 + 5*g**2 + 8*g - 4. Let l(n) = -5*n**3 + 4*n**2 + 8*n - 4. Let y(j) = -2*l(j) + 3*z(j). Factor y(x).
-(x - 2)*(x + 1)*(5*x - 2)
Let f(s) = -s**4 + s**3 + s - 1. Let h(w) = 5*w**4 + 28*w**3 + 12*w**2 + 4*w - 4. Let k be ((-3)/9)/((-1)/12). Let m(u) = k*f(u) - h(u). Factor m(z).
-3*z**2*(z + 2)*(3*z + 2)
Let 9/2*v + 33/4*v**2 + 9/2*v**3 + 3/4*v**4 + 0 = 0. Calculate v.
-3, -2, -1, 0
Let z(t) = -t**3 - 6*t**2 + 8*t + 10. Let g be z(-7). Solve -11*f + g + 6*f**3 - 2*f**5 - 4*f + 8*f**5 - 21*f**4 + 18*f**2 + 3*f**5 = 0 for f.
-1, 1/3,