 = 2 + -2. Let f(s) = -14*s - 291. Let p be f(-21). Find x such that n + 9/4*x**2 + 3/4*x**4 + 9/4*x**p + 3/4*x = 0.
-1, 0
Let s(g) = -g**3 + 23*g**2 + 50*g + 3. Let d be s(25). Let p(o) be the second derivative of 0*o**d + 1/4*o**4 + 0 - 2*o - 3/2*o**2. Let p(m) = 0. What is m?
-1, 1
Suppose 13 = 2*n + 2*m + 5, 4*n = 3*m - 12. Let d(b) be the first derivative of n*b**2 + 2 + 2/15*b**3 + 1/5*b**4 + 2/25*b**5 + 0*b. Factor d(j).
2*j**2*(j + 1)**2/5
Let r(b) be the first derivative of b**6/12 - 3*b**5/10 + 3*b**4/8 - b**3/6 - 4. Factor r(v).
v**2*(v - 1)**3/2
Factor 3/7*j**3 + 9/7*j**2 - 9/7 - 3/7*j.
3*(j - 1)*(j + 1)*(j + 3)/7
Factor 3/2*n - 9/4 - 1/4*n**2.
-(n - 3)**2/4
Let f(k) = 4*k - 16. Let p be f(16). Let x be (18/p)/((-4)/(-8)). Factor 0*c**3 - 3/2*c**4 + 3/4*c + 3/2*c**2 + 0 - x*c**5.
-3*c*(c - 1)*(c + 1)**3/4
Let y be 4*2/28 + 20/(-560). Let q(o) be the first derivative of -1/3*o**3 + y*o**4 + o - 1 - 1/2*o**2. Determine b so that q(b) = 0.
-1, 1
Solve 12*m**2 + 6 + 12*m + 5*m**3 + 0*m**3 + 3*m - 2*m**3 = 0 for m.
-2, -1
Let x(v) be the third derivative of v**8/84 - 2*v**7/105 + v**2. Suppose x(y) = 0. Calculate y.
0, 1
Let i(x) be the first derivative of -x**7/210 - x**2 + 4. Let a(u) be the second derivative of i(u). Factor a(r).
-r**4
Let z = 21 - 19. Suppose h = -z*h + 9. Factor 0*f**4 + 3/4*f**h + 0*f**2 + 0 + 0*f - 3/4*f**5.
-3*f**3*(f - 1)*(f + 1)/4
Find b, given that 0 - 1/2*b**3 + 0*b + 3/2*b**2 = 0.
0, 3
What is d in 2*d**2 + 8/3*d - 4/3*d**3 - 8/3 - 2/3*d**4 = 0?
-2, 1
Let t = 85 + -1274/15. Let l(d) be the first derivative of -t*d**6 + 4/15*d**3 + 1/5*d**4 - 1/5*d**2 - 1 - 2/25*d**5 - 2/5*d. Factor l(j).
-2*(j - 1)**2*(j + 1)**3/5
Let k(j) be the third derivative of -1/210*j**7 + 0*j**3 + 0*j - 3/200*j**6 - 1/1680*j**8 - 7/300*j**5 - j**2 - 1/60*j**4 + 0. Determine n so that k(n) = 0.
-2, -1, 0
Let t(z) be the second derivative of -29/18*z**4 + 0 + 4/3*z**2 + z + 0*z**3 + 5/9*z**6 + 0*z**5. Suppose t(m) = 0. Calculate m.
-1, -2/5, 2/5, 1
Let a be ((-20)/105)/(-2*9/84). Let b be 39/27 - (-1)/3. Suppose b*c - 2/3*c**2 + a - 2*c**3 = 0. What is c?
-2/3, 1
Suppose -2*a + 45 = 3*a + 5*h, a - 21 = 5*h. Suppose r = -1 + a. Factor -2 + 9*l**2 + 0*l**3 + 0*l - r*l**3 + 3*l.
-(l - 1)*(2*l + 1)*(5*l - 2)
Let p(h) = 2*h - 5. Let r(x) = -x - 1. Let g(z) = -p(z) - 3*r(z). Let j be g(-5). Factor -1/2*n**2 + 1/2*n + 1/2 - 1/2*n**j.
-(n - 1)*(n + 1)**2/2
Let f be 2 + (-1 + -2 - -15). Suppose -10*j - 12 = -f*j. Let -12/5*r - 6/5*r**2 + 2/5 + 112/5*r**j - 96/5*r**4 = 0. What is r?
-1/3, 1/4, 1
Let l be (4/30*-3)/(-1 - 0). Solve 0*t**2 + 0*t + 0 + 2/5*t**5 + l*t**3 - 4/5*t**4 = 0.
0, 1
Let d(i) = 4*i**2 - 3*i + 1. Let j be d(1). Factor -1/2 + 3/4*x - 1/4*x**j.
-(x - 2)*(x - 1)/4
Let o(b) = -b**3 + 6*b**2 + 8*b - 5. Let w be o(7). Factor q**5 + 0*q**2 - q + w*q**2 - 4*q**4 + 2*q**4.
q*(q - 1)**3*(q + 1)
Suppose -2*t = 3*c + 3, 0 = -0*t + 2*t - 5*c - 5. Determine v, given that 4/5*v**4 + t*v**2 - 2/5*v**5 + 0 - 2/5*v**3 + 0*v = 0.
0, 1
Let n be (-14)/(-6) - (-2 - -4). Let h(d) be the first derivative of 0*d**2 - 2 + d - n*d**3. Factor h(u).
-(u - 1)*(u + 1)
Let g(k) be the third derivative of -9*k**5/20 - 3*k**4/2 - 2*k**3 - 4*k**2. Determine h, given that g(h) = 0.
-2/3
Let y(n) be the first derivative of -2*n**6/15 + 14*n**5/25 + n**4/10 - 52*n**3/15 + 28*n**2/5 - 16*n/5 - 9. Suppose y(z) = 0. What is z?
-2, 1/2, 1, 2
Let c = -6 - -9. Solve -9*n**2 - 18*n**c + 8*n - 11*n - 3*n**5 - 3*n**2 - 12*n**4 = 0 for n.
-1, 0
Suppose -1 = -6*l + 5. Suppose 2*d - 8 = -2*d. Factor 4*j + 3 + j**2 - l + d.
(j + 2)**2
Factor -3/5*z**2 - 33/5 - 36/5*z.
-3*(z + 1)*(z + 11)/5
Let z(y) be the second derivative of -1/48*y**4 - 1/8*y**3 + 0 - 1/4*y**2 + 3*y. Factor z(l).
-(l + 1)*(l + 2)/4
Let h(j) be the third derivative of -j**5/480 - j**4/16 - 3*j**3/4 - 9*j**2. Factor h(y).
-(y + 6)**2/8
Suppose 0 = -q + 7*q. Suppose f + q + 1/4*f**3 + f**2 = 0. What is f?
-2, 0
Let v(g) = 2*g**4 - 2*g**3 + 2*g**2 + 2*g - 4. Let f(s) = -3*s**2 + s**2 - 3*s + 6*s**3 - 3*s**3 - 3*s**4 + 5. Let k(l) = -4*f(l) - 5*v(l). Factor k(w).
2*w*(w - 1)**2*(w + 1)
Suppose -22 = -5*o + 2*j, -4*j + 10 = 4*o - 2. Let 2*f**5 - 2*f**2 + 4*f**4 - o*f**2 + 2*f**2 + 0*f**5 - 2*f = 0. Calculate f.
-1, 0, 1
Let o be ((3 - 4) + 8)*1. Let s = o + -5. Factor 1/2*p - s*p**4 - 3*p**2 + 0 + 9/2*p**3.
-p*(p - 1)**2*(4*p - 1)/2
Let l(g) be the second derivative of -g**3/3 - g**2 + 5*g. Let y(m) = -2*m + 3*m + 3*m**2 - 2*m**2. Let a(r) = -l(r) - 6*y(r). Find h, given that a(h) = 0.
-1, 1/3
Factor 2/3*s - 4/3*s**2 + 0 - 2/3*s**5 + 0*s**3 + 4/3*s**4.
-2*s*(s - 1)**3*(s + 1)/3
Let z(r) = 2*r**2 - 5*r + 1. Let m be z(3). Solve -4/5*c**m + 2/5 + 4/5*c**3 - c + 2/5*c**2 + 1/5*c**5 = 0.
-1, 1, 2
Let w(j) = 10*j**3 - 35*j**2 + 46*j - 21. Let n(y) = 2*y**3 - 7*y**2 + 9*y - 4. Let t(z) = 33*n(z) - 6*w(z). Suppose t(c) = 0. Calculate c.
1/2, 1, 2
Let t(j) be the second derivative of -j**5/5 + 2*j**3 + 4*j**2 - 10*j. Let t(w) = 0. Calculate w.
-1, 2
Let s(i) be the first derivative of -5*i**4/12 - 7*i**3/9 + 4*i**2/3 + 4*i/3 + 8. Suppose s(r) = 0. What is r?
-2, -2/5, 1
Let f(s) be the third derivative of s**8/131040 + s**7/5460 + s**6/520 + s**5/30 - s**2. Let x(k) be the third derivative of f(k). Factor x(q).
2*(q + 3)**2/13
Let g(f) = 2*f**3 + 14*f**2 + 14*f - 2. Let p(i) = i**3 - i + 1. Let q(u) = -g(u) - 4*p(u). Let q(b) = 0. What is b?
-1, -1/3
Factor 0*k - 1/3*k**2 + 3.
-(k - 3)*(k + 3)/3
Suppose -d**4 + d**2 - 2*d**3 + 2*d**2 - 4*d**2 = 0. What is d?
-1, 0
Factor 45*f - 10*f - 25*f - 4 + 2*f**3 - 8*f**2.
2*(f - 2)*(f - 1)**2
Let h(n) be the second derivative of -1/75*n**6 + 2*n + 1/10*n**4 + 2/15*n**3 + 0*n**2 + 0 + 0*n**5. Let h(i) = 0. Calculate i.
-1, 0, 2
Let t(b) be the first derivative of 2*b - 13/6*b**3 + b**2 - 1 + 5/8*b**4. Factor t(v).
(v - 2)*(v - 1)*(5*v + 2)/2
Let o(a) be the second derivative of a**7/70 - 3*a**6/20 + 3*a**5/5 - a**4 + 5*a**2 - 11*a. Let l(z) be the first derivative of o(z). Factor l(g).
3*g*(g - 2)**3
Let n(v) be the second derivative of v**7/5670 + v**6/3240 - v**5/540 + v**4/6 + 4*v. Let y(q) be the third derivative of n(q). Factor y(j).
2*(j + 1)*(2*j - 1)/9
Let t = 955 + -953. Let x = -778/3 + 264. Solve 8/3 + x*v**t + 32/3*v = 0 for v.
-2, -2/7
Let -1/3*l**2 + 1/3*l**4 - 1/6*l**5 + 1/6*l + 0*l**3 + 0 = 0. What is l?
-1, 0, 1
Let n(k) be the third derivative of -2*k**2 + 0 - 1/40*k**5 + 1/24*k**4 + 0*k**3 + 0*k. Find x, given that n(x) = 0.
0, 2/3
Let c(z) be the second derivative of 0*z**4 - 1/20*z**5 - 1/30*z**6 - z + 0*z**3 + 0*z**2 + 0. Find v such that c(v) = 0.
-1, 0
Let r(x) = 9*x**4 + 18*x**3 - 3*x. Let z(a) = 9*a**4 + 17*a**3 + a**2 - 3*a. Let v(o) = 2*r(o) - 3*z(o). Suppose v(y) = 0. What is y?
-1, 0, 1/3
Suppose -m - 39 = 5*w + 2*m, 0 = w - 2*m. Let k = 10 + w. Let s**3 - 2*s**4 - 3*s**4 + 6*s**k = 0. What is s?
-1, 0
Let f(r) be the third derivative of -r**6/540 + r**5/54 - 2*r**4/27 + 4*r**3/27 + 11*r**2. Factor f(h).
-2*(h - 2)**2*(h - 1)/9
Let m(t) = -54 + 54 + t**2. Let v(q) = 3*q**3 - 9*q**2. Let n(j) = -6*m(j) - v(j). Factor n(f).
-3*f**2*(f - 1)
Suppose 0*m + 3*m = 3, -4*m + 12 = 2*z. Factor 0*i**2 - 4*i**2 + 0*i**2 + z.
-4*(i - 1)*(i + 1)
Let z(t) be the first derivative of t**6/6 - 3*t**5/5 - t**4/2 + 4*t**3 - 4*t**2 - 9. What is x in z(x) = 0?
-2, 0, 1, 2
Solve -27/5*b**3 - 6/5*b**4 - 9/5*b - 6*b**2 + 0 = 0 for b.
-3, -1, -1/2, 0
Let c(f) = f**2 + 8*f + 8. Let t be c(-7). Suppose -5*u = 5*o - 20, -3*o - 2*u = -11 + t. Solve -21*p**o - 9*p**3 + 18*p**5 - 2*p**3 - 6*p - p**3 + 21*p**4 = 0.
-1, -2/3, -1/2, 0, 1
Let f(m) = -m**2 - 7*m - 7. Let s be f(-5). Suppose 12 = s*b + 2*g - 4*g, -7 = -5*b - g. Factor 2*n**2 - n**2 - 2*n**4 + n**b.
-2*n**2*(n - 1)*(n + 1)
Factor -3/4*d - 3/2*d**2 + 3/4.
-3*(d + 1)*(2*d - 1)/4
Suppose -134 = -3*f + t - 36, 4*t - 120 = -4*f. Factor -2*i + 3*i**5 + 8 - 26*i - 4*i**5 - 8*i**4 + 5*i**5 + f*i**2 - 8*i**3.
4*(i - 1)**4*(i + 2)
Suppose 4 - 12*u**2 + 7*u**2 - 4*u**2 - 6*u**3 - 7*u**2 - 6*u = 0. What is u?
-2, -1, 1/3
Let n(x) = 9*x**4 - 27*x**3 + 16*x**2 + 20*x - 25. Let r(u) = 6*u**4 - 18*u**3 + 11*u**2 + 13*u - 17. Let d(i) = 5*n(i) - 7*r(i). Factor d(k).
3*(k - 2)*(k - 1)**2*(k + 1)
Let d = 20 - 11. Let 3*i**4 + 0*i + 0*i**