n that 4*a**3 + a**3 - 7*a**3 + 0*a**2 + 2*a**2 = 0.
0, 1
Factor -10*m - 26*m**2 + 41*m**2 + 3*m**3 - 8*m**3.
-5*m*(m - 2)*(m - 1)
Let h be 2*(12/(-8) + 1). Let i = 7 + h. Factor 10/3*c**3 + i*c - 4/3 - 8*c**2.
2*(c - 1)**2*(5*c - 2)/3
Let r = 35/51 + -6/17. Suppose 4*p - 13 = 7. Solve -2/3*b**3 + b - r + b**4 - 1/3*b**p - 2/3*b**2 = 0 for b.
-1, 1
Let p(o) be the third derivative of 0*o + 0*o**4 + 1/210*o**5 - 1/21*o**3 + 5*o**2 + 0. Factor p(q).
2*(q - 1)*(q + 1)/7
Let q be (-6)/9*(-9)/18. Determine j so that -1/3 + j - j**2 + q*j**3 = 0.
1
Let n(c) be the third derivative of -c**8/2240 - c**7/280 - c**6/80 - c**5/40 - c**4/24 + 4*c**2. Let a(j) be the second derivative of n(j). Solve a(l) = 0.
-1
Let p(x) = x**2 - 3 + x**3 + x**2 + 4*x - 3*x**2. Let i(l) = -l**3 + 2*l**2 - 5*l + 4. Let w(r) = -3*i(r) - 4*p(r). Suppose w(s) = 0. What is s?
-1, 0
Let f(a) be the second derivative of -a**4/96 + a**3/12 - 3*a**2/16 - 26*a. Solve f(o) = 0.
1, 3
Let i(v) = -v**5 + v**3 + v**2. Let h(d) = 68*d**5 + 148*d**4 + 80*d**3 - 6*d**2 - 8*d. Let t(s) = -h(s) + 2*i(s). Solve t(r) = 0 for r.
-1, -2/5, 0, 2/7
Let o be (-230)/3 - (1 - -2). Let t = o + 135. Find p such that -142/3*p**4 - 22*p**2 + 8/3*p - t*p**3 + 8/3 - 14*p**5 = 0.
-1, -2/3, 2/7
Let t = 59 - 56. Suppose -2/7*z**5 + 4/7*z**t + 2/7 + 2/7*z**4 - 2/7*z - 4/7*z**2 = 0. What is z?
-1, 1
Let m(u) = -u**2 + 1. Let a(y) = 2. Let p(w) = -a(w) + 2*m(w). Factor p(r).
-2*r**2
Suppose 0*d = 3*x + 4*d - 26, x - 3*d = 0. Suppose 4*t - x = 18. Find q, given that -t*q - 25/4*q**3 + 1 + 45/4*q**2 = 0.
2/5, 1
Let p be 7/1 + -7 - (1 - 3). Solve 10/3*r**2 + 2/9 - p*r + 50/9*r**3 = 0 for r.
-1, 1/5
Let o(p) be the third derivative of 0*p - 1/210*p**7 + 1/60*p**5 + 0*p**3 - 1/336*p**8 + 1/120*p**6 + p**2 + 0*p**4 + 0. Factor o(d).
-d**2*(d - 1)*(d + 1)**2
Let p(g) be the third derivative of g**8/90720 - g**5/30 - 6*g**2. Let x(n) be the third derivative of p(n). Solve x(v) = 0 for v.
0
Let x(d) be the second derivative of 2*d**5/15 + 5*d**4/12 + d**3/3 - d**2 + 3*d. Let a(m) be the first derivative of x(m). Suppose a(q) = 0. What is q?
-1, -1/4
Let i(h) be the third derivative of -4*h**2 + 0*h**3 + 0 + 0*h + 1/42*h**4 - 1/210*h**5. Factor i(w).
-2*w*(w - 2)/7
Solve 4*w + 8 - 22*w**2 - 12*w**2 - 5*w**2 - 20*w**4 + 3*w**2 - 52*w**3 = 0.
-1, 2/5
Let q(u) be the first derivative of 7*u**4/16 - u**3 + 3*u**2/8 + u/2 + 3. Solve q(i) = 0.
-2/7, 1
Determine c so that -2/9*c**2 + 4/3 - 10/9*c = 0.
-6, 1
Suppose -m = -0*m + 5*m. Let x(a) be the second derivative of m*a**5 - a - 1/120*a**6 + 1/24*a**4 + 0 + 0*a**3 - 1/8*a**2. Determine l, given that x(l) = 0.
-1, 1
Let s = -5 - -7. Let c(z) = -z**2 - 6*z - 6. Let l be c(-4). Factor l*d + 3*d**2 + 2 + s*d - d**2.
2*(d + 1)**2
Let x(b) be the first derivative of -b**3 + 3/2*b**2 - b + 1/4*b**4 - 4. Solve x(v) = 0 for v.
1
Let y(j) be the third derivative of -j**7/15 + 4*j**6/15 - 11*j**5/30 + j**4/6 - 2*j**2. What is g in y(g) = 0?
0, 2/7, 1
Suppose 53*o**2 - 108*o**2 + 54*o**2 - 121 - 22*o = 0. Calculate o.
-11
Let t(m) = 2*m**4 + 3*m**3 + 2*m**2 + 3*m - 1. Let h be ((-3)/2)/(3/8). Let u(p) = 3*p**4 + 4*p**3 + 2*p**2 + 4*p - 1. Let g(v) = h*t(v) + 3*u(v). Factor g(i).
(i - 1)**2*(i + 1)**2
Let y(d) be the first derivative of d**4/18 - d**3/3 + 2*d**2/3 - d - 1. Let r(u) be the first derivative of y(u). Suppose r(k) = 0. What is k?
1, 2
Let u(x) be the first derivative of -x**5/20 + x**4/4 - x**3/2 - 2*x**2 + 4. Let z(l) be the second derivative of u(l). Factor z(t).
-3*(t - 1)**2
Let i(n) = -n**3 + 2*n**2 + 2*n - 6. Let p be i(-3). Let r = -65/2 + p. Let 1/2*q**2 + 0*q**3 - 1/4*q + 1/4*q**5 - r*q**4 + 0 = 0. What is q?
-1, 0, 1
Let l(v) be the first derivative of -2*v + 2/3*v**3 - 1/3*v**6 - 2 + 0*v**2 + 5/6*v**4 - 1/5*v**5. Let m(x) be the first derivative of l(x). Factor m(i).
-2*i*(i - 1)*(i + 1)*(5*i + 2)
Let x = -73 - -113. Let h = x - 24. Factor -2*s**3 - h*s**2 + 2*s**5 + 0*s**4 - 2*s**4 + 18*s**2.
2*s**2*(s - 1)**2*(s + 1)
Factor 4*f**3 - 21*f + 6*f**2 + 12*f - f**3.
3*f*(f - 1)*(f + 3)
Let h(k) be the second derivative of 0 - 3/16*k**4 + 1/24*k**3 - 1/30*k**6 + 11/80*k**5 + 1/8*k**2 - 6*k. Factor h(l).
-(l - 1)**3*(4*l + 1)/4
Let j be -3*((272/(-90) - -1) + 2). Let b(x) be the second derivative of 1/3*x**3 + 0*x**2 + 1/6*x**4 - j*x**6 + 0 - 1/10*x**5 + 3*x. Factor b(i).
-2*i*(i - 1)*(i + 1)**2
Factor -1/2 + 1/2*c - 1/2*c**3 + 1/2*c**2.
-(c - 1)**2*(c + 1)/2
Let g(j) be the first derivative of j**4/6 + 2*j**3/9 + 3. Factor g(m).
2*m**2*(m + 1)/3
Let s(q) be the first derivative of -2/5*q**3 + 1 + 0*q**5 - 1/10*q**6 - 9/10*q**2 + 3/5*q**4 + 6/5*q. Solve s(d) = 0.
-2, -1, 1
Let x(u) be the third derivative of -u**7/42 - u**6/24 + u**5/4 + 5*u**4/24 - 5*u**3/3 - 7*u**2. Suppose x(i) = 0. What is i?
-2, -1, 1
Let o = 42 - 30. Solve 27 - o - 15 + b**3 + b**4 = 0 for b.
-1, 0
What is x in -1/2*x - 1/2 - 1/2*x**4 + x**3 - 1/2*x**5 + x**2 = 0?
-1, 1
Let i be (4/(-10))/(18/60) - -2. Factor 0*f + 0 - i*f**3 - 2/3*f**4 + 0*f**2.
-2*f**3*(f + 1)/3
Let w(z) = -8*z**2 + 17*z - 12. Let b(l) = -105*l**2 + 220*l - 155. Let d(y) = -3*b(y) + 40*w(y). Suppose d(c) = 0. Calculate c.
1, 3
Suppose 3*q = -0*q + 6. Suppose -3*p + 6 = 3*w, p + 0*p = q*w - 13. Factor -1/2*y + 0*y**3 - y**4 + 0 + 1/2*y**w + y**2.
y*(y - 1)**3*(y + 1)/2
Factor 112/19*g**2 - 2/19*g**5 - 64/19*g**3 - 96/19*g + 18/19*g**4 + 32/19.
-2*(g - 2)**4*(g - 1)/19
Suppose -5*s = 2*k + k - 20, 3*k = -3*s + 12. Let t(i) be the first derivative of 1 + k*i + 1/16*i**4 - 1/10*i**5 - 1/8*i**2 + 1/6*i**3. Factor t(f).
-f*(f - 1)*(f + 1)*(2*f - 1)/4
Let p = 27 - 34. Let k(o) = -o**2 - 9*o - 14. Let y be k(p). Determine r, given that -1/4*r**2 - 1/4*r + y = 0.
-1, 0
Let s = -34 + 34. Let x(u) be the third derivative of s*u**3 + 0*u**6 + 0*u**4 - 1/420*u**7 + 0 - u**2 + 0*u + 1/120*u**5. Let x(d) = 0. Calculate d.
-1, 0, 1
Let c(s) = -s**5 - 11*s**4 - 41*s**3 + 59*s**2 - 24*s - 6. Let y(r) = 2*r**5 + 12*r**4 + 42*r**3 - 58*r**2 + 23*r + 7. Let i(p) = 7*c(p) + 6*y(p). Factor i(h).
5*h*(h - 2)*(h - 1)**2*(h + 3)
Let x = 312 + -2806/9. Factor 2/9*f - x*f**2 + 0.
-2*f*(f - 1)/9
Let q be ((-4)/5)/((28/10)/(-1)). Determine y, given that -2/7*y**5 + 0 + 4/7*y**3 - q*y + 0*y**2 + 0*y**4 = 0.
-1, 0, 1
Let j(d) be the second derivative of -d**5/130 - d**4/78 + d**3/39 + d**2/13 - 4*d - 3. Suppose j(i) = 0. Calculate i.
-1, 1
Let y be 34/255 - (-33)/90. Let v be 0 - (0 - 2 - -2). Determine m, given that m**4 + v*m**2 - y*m**3 + 0*m + 0 - 1/2*m**5 = 0.
0, 1
Let k(i) = -i - 12. Let n be k(-9). Let f(d) = -d**2 - 3*d. Let s be f(n). Find w, given that s*w**2 - 8*w**3 - 5 + 5 - 2*w + 10*w**2 = 0.
0, 1/4, 1
Let b(j) be the second derivative of 0*j**3 + 0*j**2 + 0 - j + 0*j**4 - 3/40*j**5. Factor b(v).
-3*v**3/2
Suppose -r + 6*r = 15. Suppose 4*j - 12 = 4*l, -r*l + 4 + 11 = 3*j. Factor 14/9*s**2 + 0 + 2*s**3 + 10/9*s**j + 4/9*s + 2/9*s**5.
2*s*(s + 1)**3*(s + 2)/9
Suppose 2*v - 3*v = 4*v. Let z(a) be the third derivative of 0*a**4 - 1/360*a**5 + 0 + v*a - 3*a**2 + 1/36*a**3. Solve z(n) = 0.
-1, 1
Let q be ((-5)/(-35))/(10/6 - 1). Let t(y) be the first derivative of -1/7*y**2 - 2/7*y**3 - q*y**4 - 2 - 2/35*y**5 + 0*y. Factor t(z).
-2*z*(z + 1)**3/7
Let w(b) be the first derivative of 0*b - 3/4*b**4 - b**3 + 3 + 0*b**2. Find f, given that w(f) = 0.
-1, 0
Let v(o) be the third derivative of o**6/30 - o**5/15 - o**4/3 - o**2. Factor v(t).
4*t*(t - 2)*(t + 1)
Let d(h) be the second derivative of 0 - 1/12*h**4 + 0*h**3 + 1/42*h**7 - 2*h - 1/10*h**6 + 0*h**2 + 3/20*h**5. Factor d(i).
i**2*(i - 1)**3
Let k(q) be the first derivative of q**6/45 - q**4/9 + q**2/3 - q + 1. Let d(h) be the first derivative of k(h). Factor d(v).
2*(v - 1)**2*(v + 1)**2/3
Let s be 6/15 - (-4)/(-10). Determine a, given that s*a**2 - 3 + 4*a**2 + 0 - 3*a**4 + 2*a**2 = 0.
-1, 1
Let a(n) be the first derivative of 32/33*n**3 - 7/22*n**4 + 4/11*n - n**2 + 3. What is m in a(m) = 0?
2/7, 1
Let u = 9 - -1. Let m = 19 - u. Let -m*p**3 + 3*p**4 + 3*p + 2*p**4 - p + 7*p**5 - 5*p**2 = 0. What is p?
-1, 0, 2/7, 1
Suppose -6*u = -u. Let c(o) be the first derivative of -2 - 4/15*o**6 + 1/10*o**4 + 0*o + 0*o**2 + u*o**3 - 6/25*o**5. Find t, given that c(t) = 0.
-1, 0, 1/4
Suppose 3*d + 10 = 8*d.