 the first derivative of f**4/28 - 2*f**3/21 - 2*f**2/7 + 8*f/7 + 7. Let z(a) = 0. Calculate a.
-2, 2
Let n = -383/5 + 77. Let j = n - 3/20. What is c in -1/2 - 1/4*c**4 - j*c + 1/4*c**3 + 3/4*c**2 = 0?
-1, 1, 2
Suppose -91*u**3 + 15*u - 28*u**4 - 80*u**2 - u**3 - 31*u = 0. What is u?
-2, -1, -2/7, 0
What is b in -5 + 5 + b**5 + 2*b**3 - 3*b**3 = 0?
-1, 0, 1
Factor 4/3 + 10/3*w**3 - 10/3*w - 4/3*w**2.
2*(w - 1)*(w + 1)*(5*w - 2)/3
Let x(s) be the first derivative of 1 + 2/7*s + 2/7*s**3 - 1/14*s**4 - 3/7*s**2. Find h, given that x(h) = 0.
1
Let j(n) be the first derivative of 1 + 0*n + 2/21*n**3 + 1/7*n**2. Solve j(a) = 0.
-1, 0
Let o(d) be the first derivative of -d**4/6 + d**2 + 2*d - 1. Let c(t) be the first derivative of o(t). Determine l, given that c(l) = 0.
-1, 1
Let h be (0 + 1)/(((-65)/15)/(-13)). Suppose 15/4*f + h*f**2 + 3/4 = 0. Calculate f.
-1, -1/4
Let r be (-31)/(-3) - 1/3. Let z be 4/r*(-5)/(-3). Solve -2*x**2 + 4/3*x + z*x**3 + 0 = 0 for x.
0, 1, 2
Let g = 1/6 - 1/15. Let a(y) be the second derivative of -3*y + g*y**4 + 0 + 0*y**2 - 1/10*y**3 - 3/100*y**5. Factor a(n).
-3*n*(n - 1)**2/5
Let f(k) be the third derivative of -2*k**2 + 1/12*k**4 + 0 + 0*k - 1/6*k**3 - 1/120*k**6 - 1/120*k**5. Let b(a) be the first derivative of f(a). Factor b(z).
-(z + 1)*(3*z - 2)
Let h = -59 - -179/3. Factor 4/9*q + h + 2/9*q**4 - 4/9*q**3 - 8/9*q**2.
2*(q - 3)*(q - 1)*(q + 1)**2/9
Factor 24 - 6*h + 3/8*h**2.
3*(h - 8)**2/8
Let k(x) be the second derivative of 1/66*x**4 - 5*x + 0 - 1/11*x**2 - 1/33*x**3 + 1/110*x**5. What is v in k(v) = 0?
-1, 1
Let r be 3*(-2)/18*-45. Let w be (-6)/(-30) + 7/r. Factor -w*j - 1/6*j**2 - 1/2.
-(j + 1)*(j + 3)/6
Let a(j) be the second derivative of j**4/90 + j**3/45 + 7*j. Solve a(z) = 0.
-1, 0
Let t(p) be the first derivative of p**9/6048 + p**8/1680 - p**6/360 - p**5/240 + p**3/3 + 2. Let l(f) be the third derivative of t(f). Factor l(g).
g*(g - 1)*(g + 1)**3/2
Let s(x) = -66*x**3 - 456*x**2 - 27*x - 27. Let d(t) = -5*t**3 - 35*t**2 - 2*t - 2. Let a(f) = 27*d(f) - 2*s(f). What is z in a(z) = 0?
-11, 0
Let y(p) = -p**2 - 20*p + 71. Let c be y(-23). Let -1/6*o**5 + 1/6*o**4 - 1/3*o**c + 1/6 + 1/3*o**3 - 1/6*o = 0. What is o?
-1, 1
Let a(z) be the third derivative of 2*z**2 + 0 - 1/32*z**4 - 1/80*z**5 + 0*z - 1/480*z**6 - 1/24*z**3. Factor a(x).
-(x + 1)**3/4
Let l(r) be the third derivative of -r**2 + 1/12*r**3 - 5/96*r**4 + 1/1344*r**8 + 0 + 1/120*r**5 - 1/210*r**7 + 1/120*r**6 + 0*r. Factor l(j).
(j - 2)*(j - 1)**3*(j + 1)/4
Let c(b) = -14*b**5 - 11*b**4 + 7*b**3 + 16*b**2 + 7*b. Let p(v) = v**5 - v**2 - v. Let n(u) = -c(u) - 5*p(u). Suppose n(o) = 0. Calculate o.
-1, -2/9, 0, 1
Suppose 3*i = 3*z - 7*z - 113, 4*i + 76 = -3*z. Let s be 12/(-49)*112/z. Factor 6/7*h**4 - 2/7 - 4/7*h**2 - 4/7*h**3 + s*h - 2/7*h**5.
-2*(h - 1)**4*(h + 1)/7
Suppose 0 = -11*w + 65 - 43. Let 1/2*v**w + 2 + 2*v = 0. What is v?
-2
Let h(y) = -6*y**5 + 4*y**4 + 2*y**3 + 2*y - 2. Let t(c) = -c**3 - c + 1. Let r(k) = -h(k) - 2*t(k). Factor r(f).
2*f**4*(3*f - 2)
Let v(x) be the second derivative of -1/147*x**7 + 1/70*x**5 + 0*x**3 + 0*x**2 + 0 + 2*x + 1/105*x**6 - 1/42*x**4. Let v(t) = 0. What is t?
-1, 0, 1
Let s(t) be the first derivative of -t**8/840 + t**6/90 - t**4/12 + 5*t**3/3 - 1. Let o(v) be the third derivative of s(v). Factor o(y).
-2*(y - 1)**2*(y + 1)**2
Suppose 0 = -5*w + 39 - 9. Let s(o) be the second derivative of 0 + 1/9*o**3 - o + 26/45*o**w + 8/9*o**4 - 17/15*o**5 - 1/9*o**7 - 2/3*o**2. Factor s(d).
-2*(d - 1)**4*(7*d + 2)/3
Let j be (2030/45)/14 - 3. Suppose 0 - j*r**2 - 38/9*r**4 - 4/9*r + 10/3*r**3 + 14/9*r**5 = 0. What is r?
-2/7, 0, 1
Let q(v) be the third derivative of -v**7/4620 - v**6/660 + 3*v**3/2 + 5*v**2. Let w(s) be the first derivative of q(s). Factor w(j).
-2*j**2*(j + 3)/11
Let k(s) be the third derivative of -s**5/12 - 5*s**4/12 - 5*s**3/6 + 3*s**2. Factor k(y).
-5*(y + 1)**2
Suppose 2*r - 14/9*r**2 - 4/9 = 0. What is r?
2/7, 1
Let m be 0/(-1) - (-2)/1. Suppose b + 2*b = m*j + 1, 4*j + 2*b = 22. Determine t so that 0*t**4 + 0 + 4*t + 2*t**4 - 2 - j*t**3 = 0.
-1, 1
Let n be -2 + 0 - 90/(-18). What is b in 1/3*b**4 + 0 + 0*b - 2/3*b**n + 1/3*b**2 = 0?
0, 1
Let i be (1*5)/(7 + -6). Suppose -10 = -2*j, 0*j = n + i*j - 25. Find q such that 1/2*q + n - 1/2*q**2 = 0.
0, 1
Let z(i) be the second derivative of 5*i**4/12 - 25*i**3/6 + 15*i**2 - 10*i. Solve z(c) = 0 for c.
2, 3
Let n be (-2)/8 + (117/12)/3. Let t(i) be the second derivative of 2/7*i**2 + 0 - 1/21*i**4 + 1/3*i**n - 1/10*i**5 - 3*i. Determine h so that t(h) = 0.
-1, -2/7, 1
Let o = 19 - 37/2. Let d be 0 - (-2 + -3 + 2). Factor 0*i + o*i**d + 0 + 0*i**2 + 1/2*i**4.
i**3*(i + 1)/2
Suppose -2 - 30*n**3 - 3*n**3 - 13*n**2 + 3*n**3 + 15*n = 0. What is n?
-1, 1/6, 2/5
Factor 8/5*l**3 - 12/5*l**2 - 2/5 - 2/5*l**4 + 8/5*l.
-2*(l - 1)**4/5
Factor 0*b - 1/3*b**2 + 0.
-b**2/3
Let g(d) be the third derivative of 0*d + 0*d**3 - 1/80*d**6 - 1/40*d**5 + 0 + 0*d**4 + d**2. Factor g(v).
-3*v**2*(v + 1)/2
Let x(p) be the first derivative of -p**8/168 - p**7/105 + p**6/30 - 3*p**2 + 5. Let s(k) be the second derivative of x(k). Determine n, given that s(n) = 0.
-2, 0, 1
Suppose -p = 4*j + 10, -4*j + 0 = -3*p + 18. Let -11*o**3 - o + 13*o**3 + 4 - 6*o**p + 2*o**4 - o = 0. Calculate o.
-2, -1, 1
Let u = -26/93 + 461/651. Find z, given that 6/7 - 3/7*z**3 + 9/7*z**4 + u*z - 15/7*z**2 = 0.
-1, -2/3, 1
Suppose -6 = 3*u, 5*t = -u + 3*u + 24. Suppose 5*s = 5*b - 11 - 9, -s + 6 = 4*b. Factor -3 + b - 3 + t*g + 2 - 2*g**2.
-2*(g - 1)**2
Suppose -4*j - 3*a + 0 = -10, -5*a = 5*j - 10. Solve -2/7*g**3 + 6/7*g**2 - 2/7*g**j + 4/7 + 10/7*g = 0.
-1, 2
Let j(z) be the third derivative of -z**6/280 + z**4/56 + 24*z**2. Factor j(u).
-3*u*(u - 1)*(u + 1)/7
Let a(c) be the third derivative of 0*c + 0 - 1/6*c**4 + 2*c**2 + 1/60*c**5 + 2/3*c**3. Find q, given that a(q) = 0.
2
Let s(q) = -4*q + 31. Let c be s(7). Factor 0*g**2 - 1/2*g + 1/2*g**c - 1/4 + 1/4*g**4.
(g - 1)*(g + 1)**3/4
Suppose 0*l + 0 + 1/4*l**2 + 1/4*l**4 + 1/2*l**3 = 0. What is l?
-1, 0
Let c(g) = g**2 - 4*g + 2. Let u be c(4). Let b be -2 + 45*1 + u. Determine d, given that -73*d**3 - 1 - b*d**4 - 4*d + 1 - 32*d**2 = 0.
-1, -2/5, -2/9, 0
Let n(w) be the third derivative of 0 + w**2 + 1/84*w**5 + 1/21*w**4 + 0*w - 2/21*w**3. Factor n(l).
(l + 2)*(5*l - 2)/7
Let v(y) be the third derivative of 1/60*y**5 + 0*y**3 - 2*y**2 + 0 + 0*y**4 - 1/210*y**7 + 1/336*y**8 + 0*y - 1/120*y**6. Let v(l) = 0. What is l?
-1, 0, 1
Let s be 22/6 + (-10)/15. Factor 4*b**2 + 16*b + 7 - s + 8.
4*(b + 1)*(b + 3)
Let u(t) be the first derivative of -t**5 - 5*t**4/4 + 25*t**3/3 - 15*t**2/2 - 19. Let u(f) = 0. What is f?
-3, 0, 1
Determine g, given that 4/3 + 2/3*g - 20/3*g**2 - 10/3*g**5 + 8/3*g**3 + 16/3*g**4 = 0.
-1, -2/5, 1
Let w(g) be the third derivative of -g**8/1176 + 2*g**7/735 + g**6/105 - 4*g**5/105 - 22*g**2. Determine d, given that w(d) = 0.
-2, 0, 2
Let k(j) be the second derivative of -j**6/1080 - j**5/540 + j**4/216 + j**3/54 + 3*j**2/2 + 2*j. Let v(c) be the first derivative of k(c). Factor v(d).
-(d - 1)*(d + 1)**2/9
Let 2/3*g**2 + g**3 - 4*g - 8/3 = 0. What is g?
-2, -2/3, 2
Let y be (-3)/(-2)*2 - 1. Suppose -y*j - 2*t = 0, 2*t + 15 = 2*j - t. Let -12*z - 33*z**j - 9 + 7*z**4 + 46*z**2 + 0 + 1 = 0. What is z?
-2/7, 1, 2
Let q(v) be the second derivative of v**4/42 + 2*v**3/21 - 5*v. Factor q(z).
2*z*(z + 2)/7
Let h(u) be the first derivative of u**6/30 + u**5/5 + 7*u**4/20 + u**3/5 - 1. Factor h(q).
q**2*(q + 1)**2*(q + 3)/5
Let w be 13/5 + (-2)/(-5). Suppose 4*x + 4*h - 36 = 0, -5*x = h - 0*h - 25. Let 0*l**w - 2*l**3 + 6*l**2 - 6*l + x - 2 = 0. Calculate l.
1
Find d such that -d**3 - 3 - 1 + 8 - 4*d**2 + 6*d - 5*d**3 = 0.
-1, -2/3, 1
Let k(t) be the second derivative of 0 - 1/10*t**5 + 2*t + 0*t**2 + 0*t**4 + 1/3*t**3. Factor k(f).
-2*f*(f - 1)*(f + 1)
Let b = 103/220 + -3/44. Let 8/5*r**2 - 12/5*r**3 - b*r - 2/5*r**5 + 0 + 8/5*r**4 = 0. Calculate r.
0, 1
Suppose 2/5*z**3 - 2/5*z - 2/5 + 2/5*z**2 = 0. Calculate z.
-1, 1
Factor 2*t**3 + 3*t**2 + 0*t**3 - 2*t**2.
t**2*(2*t + 1)
Suppose 0 = -5*s - 3*z + 7, -5*z + 0*z = -4*s + 13. Factor -4*t**s - 5*t**3 + 1 + t**3 + 2*t**3 + t**2.
-(t + 1)**2*(2*t - 1)
Let u = -36 + -40. Let a = -3