3 + 1/3*f**2 + 1/3*f**4 + f**3 = 0.
-2, -1, 1
Let w = 303/52 - 66/13. Factor -3/4*q**2 + 0*q + 3/4*q**3 + w*q**4 - 3/4*q**5 + 0.
-3*q**2*(q - 1)**2*(q + 1)/4
Suppose -4*y = 4*f - 8, 0*f = y - 4*f + 8. Let w(o) be the third derivative of 0*o + 4*o**2 + y + 0*o**4 - 1/60*o**5 + 0*o**3. Determine k, given that w(k) = 0.
0
Let o(z) be the first derivative of -1 + 0*z + 3/5*z**2 - 1/5*z**3. Factor o(g).
-3*g*(g - 2)/5
Suppose 2*k = -3*k + 20. Let r be 22/k + 2/4. Solve 41*q**4 - q**5 + 102*q**3 + 37*q**4 + 48*q**2 + 10*q**5 + 12*q**5 - 3*q - r = 0.
-1, 2/7
Factor 0 - 2/3*l**2 + 4/3*l.
-2*l*(l - 2)/3
Let t = -9 + 7. Let r be ((-7)/(-70))/(t/(-5)). Find y such that r + 1/4*y + 3/4*y**3 - 5/4*y**2 = 0.
-1/3, 1
Let y(w) be the second derivative of -1/170*w**5 - 1/34*w**4 + 2/51*w**3 + 0*w**2 + 1/85*w**6 + 2*w - 1/357*w**7 + 0. Solve y(v) = 0.
-1, 0, 1, 2
Let w(f) be the first derivative of f**4/16 + f**3/6 + f**2/8 - 3*f + 5. Let h(b) be the first derivative of w(b). Find q such that h(q) = 0.
-1, -1/3
Let p(g) = -70*g**3 - 265*g**2 - 140*g - 55. Let i(b) = 5*b**3 + 19*b**2 + 10*b + 4. Let o(q) = 55*i(q) + 4*p(q). Determine a, given that o(a) = 0.
-2, -1, 0
Let m(c) be the second derivative of -c**4/4 - 5*c**3 - 75*c**2/2 - 24*c. Factor m(v).
-3*(v + 5)**2
Let h(w) be the first derivative of -1/6*w**3 + 5 - 1/8*w**2 + 0*w. Factor h(i).
-i*(2*i + 1)/4
Let o(s) be the second derivative of s**4/54 + 2*s**3/27 + s**2/9 - 5*s. Factor o(n).
2*(n + 1)**2/9
Suppose 80*u - 8*u**3 + 5*u**4 - 320 + 56*u**3 + 7*u**3 + 180*u**2 = 0. Calculate u.
-4, 1
Let f(c) be the second derivative of -8*c**7/7 + 4*c**6 - 27*c**5/20 - 13*c**4/4 - c**3 - 3*c + 1. Suppose f(n) = 0. Calculate n.
-1/4, 0, 1, 2
Suppose -4*p - 3*t = p - 30, -5*p = -3*t. Let -2/3*c - c**2 + 0 - 1/3*c**p = 0. Calculate c.
-2, -1, 0
Let z = -416/9 - -536/9. Factor z*a - 6*a**3 + 16/3 + 4*a**2.
-2*(a - 2)*(3*a + 2)**2/3
Let u = 11/230 + -1/69. Let h(k) be the second derivative of 0 - k + 4/15*k**3 - u*k**4 - 4/5*k**2. Factor h(j).
-2*(j - 2)**2/5
Let j(o) = o**3 - o**2 - o - 1. Let u(z) = -z**5 + 3*z**4 - 7*z**3 + 5*z**2 + 4*z + 4. Let g(b) = -4*j(b) - u(b). Determine l, given that g(l) = 0.
0, 1
What is s in 107*s**2 + 3*s - 45*s**2 - 41*s**2 = 0?
-1/7, 0
Let i be 0/7*(-1 + 0)*1. Let m(n) be the second derivative of 0 + 1/15*n**6 + 1/10*n**5 + 0*n**4 + i*n**2 + 2*n + 0*n**3. Let m(s) = 0. What is s?
-1, 0
Let v(c) = 4*c**4 - 6*c**3 + 5*c**2 - 3*c - 3. Let n(l) = -7*l**4 + 11*l**3 - 9*l**2 + 5*l + 5. Let u(d) = 3*n(d) + 5*v(d). Factor u(f).
-f**2*(f - 2)*(f - 1)
Let i(v) be the third derivative of -2/15*v**3 + v**2 + 0 + 0*v - 1/150*v**5 + 1/20*v**4. Find a, given that i(a) = 0.
1, 2
Let b(z) be the first derivative of -z**4/6 + z**2 - 3*z - 1. Let r(x) be the first derivative of b(x). Let r(q) = 0. Calculate q.
-1, 1
Let n(j) be the third derivative of -j**6/30 + j**5/15 - 8*j**2. Factor n(g).
-4*g**2*(g - 1)
Let g(d) be the first derivative of 0*d + 0*d**5 - 1/3*d**3 + 1 + 0*d**2 + 1/1260*d**6 - 1/84*d**4. Let q(t) be the third derivative of g(t). Factor q(b).
2*(b - 1)*(b + 1)/7
Let l be -2*(-2)/(-16)*16/(-14). Solve -2/7*f**2 + 0 - l*f**3 + 2/7*f + 2/7*f**4 = 0.
-1, 0, 1
Let q = 36 + -36. Let d(i) be the third derivative of 2*i**2 + 0*i + 0 + 1/30*i**5 + q*i**3 + 1/12*i**4. Factor d(b).
2*b*(b + 1)
Let y(l) be the second derivative of -l**8/36960 - l**7/1155 - 2*l**6/165 - 16*l**5/165 - l**4/3 + 4*l. Let p(m) be the third derivative of y(m). Factor p(b).
-2*(b + 4)**3/11
Let a be (4/(-2))/(6/(-39)). Let c = 13 - a. Factor 2/9*y - 2/3*y**3 - 4/9*y**2 + c.
-2*y*(y + 1)*(3*y - 1)/9
Suppose -3*a = -3*u + 9, -3*a - 4 = -7*a. Let x(h) be the second derivative of -h + 0 + h**3 + 1/6*h**u + 9/4*h**2. Factor x(q).
(2*q + 3)**2/2
Suppose 51*f - 7*f**2 + 7 - 5 - 16 = 0. Calculate f.
2/7, 7
Factor 0 + 9/7*h**2 - 3/7*h + 3/7*h**4 - 9/7*h**3.
3*h*(h - 1)**3/7
Suppose -3*x + 2*n = -5*x - 4, -4*n - 11 = 3*x. Factor 4/9*w - 4/9*w**x + 0*w**2 - 2/9*w**4 + 2/9.
-2*(w - 1)*(w + 1)**3/9
Let f be ((-96)/(-18))/((-2)/(-3)). Factor -9*z**5 - 12*z**3 + 8*z**4 + 3*z**5 - 2*z - z**5 + f*z**2 + 5*z**5.
-2*z*(z - 1)**4
Let c(p) be the second derivative of -p**6/150 + 3*p**5/100 - p**4/60 - p**3/10 + p**2/5 + 8*p. Solve c(x) = 0.
-1, 1, 2
Let i be (-26)/65 + 94/35. Factor i*g + 4/7*g**2 + 16/7.
4*(g + 2)**2/7
Let t(x) = -x**2 + 15*x + 6. Let i be t(15). Suppose 0 = -5*w + i*w - 2. Factor 0*r**w + 12/5*r**4 - 18/5*r**3 + 0*r + 0 - 2/5*r**5.
-2*r**3*(r - 3)**2/5
Let m(f) = -5*f**5 - 3*f**4 + 16*f**3 - 8*f**2 - 7*f. Let n(x) = 3*x**5 + x**4 - 8*x**3 + 4*x**2 + 4*x. Let r(q) = -4*m(q) - 7*n(q). What is j in r(j) = 0?
0, 1, 2
Let o(q) = q**2 - 10*q + 1. Let v be o(10). Let r be (4/(-6))/(v - 3). Factor 0*c - 1/3*c**2 - 1/3*c**3 + 0 + r*c**5 + 1/3*c**4.
c**2*(c - 1)*(c + 1)**2/3
Let l(h) be the third derivative of -h**7/1890 + h**5/180 + h**4/108 + 22*h**2. Factor l(g).
-g*(g - 2)*(g + 1)**2/9
Factor -37*c + c**2 + 38*c + 0*c**2 - 6.
(c - 2)*(c + 3)
Suppose -3 = -5*t - x, -5*t = -3*x + 2 + 7. Suppose 0*v + t + v**4 + 0*v**2 + 1/2*v**3 + 1/2*v**5 = 0. What is v?
-1, 0
Let n(t) be the first derivative of -t**4/2 + 16*t**3/3 - 19*t**2 + 24*t - 29. Solve n(x) = 0 for x.
1, 3, 4
Let n(w) be the second derivative of 0 + 0*w**2 + 1/30*w**3 + 0*w**4 - 1/50*w**5 + 0*w**6 - 3*w + 1/210*w**7. Let n(a) = 0. Calculate a.
-1, 0, 1
Let h(c) = c - 2. Let z be h(3). Suppose -4*n = z - 17. Let 0 - 2/3*v**3 + 2/3*v + 2/3*v**n - 2/3*v**2 = 0. What is v?
-1, 0, 1
Let c = 1 + 8. Suppose -2*r + c = 3. Factor 5*n**r - 5*n**3 + n - n**3.
-n*(n - 1)*(n + 1)
Let g(k) be the second derivative of -2*k**7/147 - 8*k**6/105 - 6*k**5/35 - 4*k**4/21 - 2*k**3/21 + 7*k. Factor g(d).
-4*d*(d + 1)**4/7
Let l(p) be the third derivative of -p**10/14175 - p**9/11340 + p**8/4320 - p**7/7560 + p**5/20 + 2*p**2. Let x(b) be the third derivative of l(b). Factor x(n).
-2*n*(n + 1)*(4*n - 1)**2/3
Let m = -2 - -4. Suppose -2 - 18 = -2*y. Factor h**m + 6*h**2 + y*h**3 - h**2 - 4*h.
2*h*(h + 1)*(5*h - 2)
Let q(p) = -p**3 - 11*p**2 - 8*p + 20. Let c be q(-10). Factor 1/3*o**3 + c + 0*o**2 - 1/3*o.
o*(o - 1)*(o + 1)/3
Factor 3/2*x - 3/4 - 3/2*x**3 + 3/4*x**4 + 0*x**2.
3*(x - 1)**3*(x + 1)/4
Let n(m) be the first derivative of -4*m**5/5 + 4*m**4 - 20*m**3/3 + 4*m**2 - 9. Suppose n(d) = 0. What is d?
0, 1, 2
Let z = 2 + 0. Let n be (-2 + -2)*4/(-24). Factor -n*q**3 + 0*q**z + 2/3*q**5 + 0*q + 0*q**4 + 0.
2*q**3*(q - 1)*(q + 1)/3
Let t be (-14)/(-8) + (-9)/12. Let y(j) = 4*j**2 + 2*j - 1. Let v be y(t). Let -2 + 12*m**4 + 17*m**3 + 0*m**2 + v*m**3 - 5*m - m + 6*m**2 = 0. What is m?
-1, -1/3, 1/2
Suppose -i = 3*k - 11, -5*i = 5*k - 11 - 14. Let 2/5*b + 2/5*b**i + 0 = 0. What is b?
-1, 0
Let r(o) = 24*o**5 + 52*o**4 + 76*o**3 + 60*o**2 + 40*o - 8. Let j(q) = -q**5 + q**3 + q**2 - q + 1. Let h(l) = 12*j(l) + r(l). Factor h(w).
4*(w + 1)**4*(3*w + 1)
Let z(m) be the second derivative of -m**5/20 + 2*m**4/9 - 7*m**3/18 + m**2/3 + m. Find o such that z(o) = 0.
2/3, 1
Let c(o) be the third derivative of -5*o**2 + 0*o + 1/28*o**4 - 2/21*o**3 - 1/210*o**5 + 0. Solve c(k) = 0 for k.
1, 2
Suppose 1/3*m**2 - 5/3 - 4/3*m = 0. What is m?
-1, 5
Let b be (-3)/(-5) + 4/10. Let y = b - -2. Find m, given that 3*m**3 + m + m**5 - 2*m**2 - 5*m**y + 2*m**2 = 0.
-1, 0, 1
Let w be 12/54 - 128/9. Let m be 0 - -3 - (-26)/w. Let -2*j**4 + 4/7*j**3 + 0 + 0*j + 2/7*j**2 + m*j**5 = 0. What is j?
-1/4, 0, 1
Let x = -17 - 3. Let o be 8/x + 6/10. Solve 1/5*r + o*r**2 + 0 = 0.
-1, 0
Suppose 4*r - 2 = -10. Let q be (12/20)/(r/(-10)). Factor 4/3*t**2 - 2/3*t + 0 - 2/3*t**q.
-2*t*(t - 1)**2/3
Let w(g) = -g**4 + g**3 + g**2 - g. Let j(d) = d**4 - 2*d**3 - d**2 + 2*d. Let y(k) = 4*j(k) + 7*w(k). Factor y(c).
-c*(c - 1)*(c + 1)*(3*c + 1)
Let g(z) be the second derivative of 5*z**6/12 - 9*z**5/8 + z**4 - z**3/3 + 4*z. Suppose g(q) = 0. Calculate q.
0, 2/5, 1
Let s(f) be the second derivative of -f**6/30 + f**4/3 - 21*f. Let s(r) = 0. Calculate r.
-2, 0, 2
Let r(q) be the second derivative of 4*q**7/21 + 6*q**6/5 + 11*q**5/5 - 8*q**3/3 - 5*q. Suppose r(x) = 0. Calculate x.
-2, -1, 0, 1/2
Factor 0 - 8/7*a + 2/7*a**2.
2*a*(a - 4)/7
Let d(c) be the first derivative of 7 - 1/2*c**2 + 7/4*c**4 + 0*c**3 + 6/5*c**5 + 0*c. Solve d(v) 