p?
-1, 1
Find b such that -2/19*b**2 + 2/19*b - 2/19*b**3 + 2/19*b**4 + 0 = 0.
-1, 0, 1
Let w be (-174)/(-12) - 2/(-4). Let -27*f**3 + 1 - 9*f - w*f**2 + 26*f**2 + 16*f**2 = 0. Calculate f.
1/3
Factor -20*r**5 - 3*r**2 + 15*r**5 - 2*r**2 + 5*r**3 + 5*r**4.
-5*r**2*(r - 1)**2*(r + 1)
Let q(l) = l**3 + l**2 - l + 3. Let s be q(0). Let n(p) be the first derivative of 1/6*p**2 + 0*p + 2/15*p**5 - 2/9*p**s - 1/12*p**4 + 3. Factor n(k).
k*(k - 1)*(k + 1)*(2*k - 1)/3
Let p be 81/12 - 2/(-8). What is l in l**2 + p*l**3 + 2*l**3 - 3*l**2 - l**3 = 0?
0, 1/4
Let q be 8*-1*(-3)/(-6)*-1. Let 13/2*g**3 - 3*g**q + 2*g - 6*g**2 + 0 + 1/2*g**5 = 0. What is g?
0, 1, 2
Let v(f) be the third derivative of f**7/315 - 8*f**6/45 + 128*f**5/45 - 29*f**2. Factor v(a).
2*a**2*(a - 16)**2/3
Let k be (5 + 3 - 3)/1. Suppose c + 1 = 2*u - k*u, 0 = 5*u - 4*c - 4. What is i in -1/3*i**3 + 0 + u*i + 1/3*i**2 = 0?
0, 1
Let k(a) be the third derivative of a**7/490 + a**6/140 - 3*a**5/140 - a**4/14 + 2*a**3/7 + 15*a**2. Factor k(t).
3*(t - 1)**2*(t + 2)**2/7
Let i(k) = 2*k**2 + k - 1. Suppose -3*a + 5 = 2. Let n be i(a). Factor -6*m - m**4 - 2*m**4 + 3 + m**4 + 6*m**3 + 1 - n*m**2.
-2*(m - 2)*(m - 1)**2*(m + 1)
Let r(u) be the second derivative of u**9/15120 + u**8/3360 - u**6/360 - u**5/120 - u**4/4 - 3*u. Let q(k) be the third derivative of r(k). Factor q(m).
(m - 1)*(m + 1)**3
Let x = -251 - -254. Determine b, given that 0 - 3/2*b + 3/2*b**x + 3/4*b**4 - 3/4*b**2 = 0.
-2, -1, 0, 1
Let c(i) = 2*i**4 + 6*i**3 + 8*i**2 + 7*i + 3. Let t(o) = -o**4 - o**3 + o**2 - 1. Let w(g) = 2*c(g) + 2*t(g). Find f, given that w(f) = 0.
-2, -1
Let a = 0 - -3. Factor 1 - 3 - 7*z**3 + 2*z**5 + 0*z**5 - 2*z**4 + a*z**3 + 4*z**2 + 2*z.
2*(z - 1)**3*(z + 1)**2
Let s = -146 + 148. Factor 1/2*u**5 + 1/2*u**4 - u**3 - u**s + 1/2*u + 1/2.
(u - 1)**2*(u + 1)**3/2
Let o(t) be the third derivative of 0 + 1/300*t**5 + t**2 + 0*t + 1/120*t**4 - 1/15*t**3. Factor o(w).
(w - 1)*(w + 2)/5
Let n be 7/6 - (-6)/18. Suppose -3/2*b**2 + 3*b + 0 - n*b**3 = 0. Calculate b.
-2, 0, 1
Let -3*n - 2*n + 5*n - 4*n**2 = 0. What is n?
0
Let q be (-55)/14 + 2 + 2. Let s(a) be the first derivative of 0*a - q*a**4 - 4/21*a**3 - 1/7*a**2 - 1. Solve s(n) = 0.
-1, 0
Suppose 3 = -c + 2*w - 5, 4*c = 4*w - 36. Let i be (28/21)/(c/(-3)). Find f such that 0 - 2/5*f**3 + 4/5*f**2 - i*f = 0.
0, 1
Let m(l) be the first derivative of -1/210*l**5 - 1/84*l**4 + 1/2*l**2 - 3 + 0*l + 2/21*l**3. Let v(n) be the second derivative of m(n). Factor v(r).
-2*(r - 1)*(r + 2)/7
Let p be (-8)/(96/36) + (-36)/(-10). Solve p*o**4 + 0 - 7/5*o**3 - 1/5*o + o**2 = 0 for o.
0, 1/3, 1
Let t be 18/14 - 1/1. Factor -2/7*n**3 + 0 - 4/7*n**2 - t*n.
-2*n*(n + 1)**2/7
Suppose 31 + 17 = 2*k. Factor -8*j**2 + 0 + k*j - 49*j**3 - 4 - 13*j**2.
-(j + 1)*(7*j - 2)**2
Let d = -12 + 12. Suppose d = -5*i + 20, -3*a - i + 5 = -8. Determine f, given that 2/5*f + 0 - 2/5*f**a + 0*f**2 = 0.
-1, 0, 1
Let k = 37 + -34. Let g(s) be the first derivative of 0*s**2 - 1/6*s**k - 1/8*s**4 + 2 + 0*s. Let g(i) = 0. What is i?
-1, 0
Let y(d) be the first derivative of d**6/2 + 9*d**5/5 + 9*d**4/4 + d**3 - 9. Factor y(w).
3*w**2*(w + 1)**3
Factor -5/3 - 30*c**2 - 65/3*c**4 + 5*c**5 + 35/3*c + 110/3*c**3.
5*(c - 1)**4*(3*c - 1)/3
Suppose 3*o + 4*o - 11*o + 4*o**3 = 0. What is o?
-1, 0, 1
Let h(y) be the third derivative of 0 + 1/33*y**3 + 1/330*y**6 + 0*y**5 + 2*y**2 - 1/1155*y**7 + 0*y - 1/66*y**4. Factor h(t).
-2*(t - 1)**3*(t + 1)/11
Let g(y) be the second derivative of -4*y + 0*y**4 + 0*y**3 + 0*y**2 - 1/12*y**6 + 1/21*y**7 + 0 + 1/40*y**5. Let g(s) = 0. What is s?
0, 1/4, 1
Let u(h) = -3*h**4 + 9*h**3 - 13*h**2 + 7*h. Let f(t) = 6*t**4 - 18*t**3 + 25*t**2 - 13*t. Let g(z) = 4*f(z) + 7*u(z). Factor g(m).
3*m*(m - 1)**3
Let d(i) be the third derivative of 0*i + 0 - 1/28*i**4 + 0*i**3 - 6*i**2 + 1/28*i**5 - 1/140*i**6. Factor d(q).
-3*q*(q - 2)*(2*q - 1)/7
Let k(l) be the third derivative of 0 + 0*l**5 + 0*l**3 + 0*l + 4*l**2 + 1/8*l**4 - 1/40*l**6. Suppose k(n) = 0. What is n?
-1, 0, 1
Let w(j) be the second derivative of -j**6/300 + j**5/100 + j**4/40 + j. Find h, given that w(h) = 0.
-1, 0, 3
Let w = 942 - 4707/5. Factor -1/5*l**4 + 0*l - 2/5*l**3 + 0 + w*l**2.
-l**2*(l - 1)*(l + 3)/5
Let v(f) = 2*f - 6. Let d be v(4). Suppose d*j - 12 = -0*j. Suppose -2*m**3 - 6*m**2 + 2*m**4 + j*m**2 = 0. Calculate m.
0, 1
Let k be (-6)/9 + (-2)/(-3). Suppose -6*h + 2*h + 16 = k. Factor -3*r - 2*r**4 - 2*r**5 - 3*r + h*r + 0 + 4*r**2 + 4*r**3 - 2.
-2*(r - 1)**2*(r + 1)**3
Let i(v) = -v**3 + 18*v**2 - 35*v + 50. Let n be i(16). Factor 2/3 + m + 0*m**n - 1/3*m**3.
-(m - 2)*(m + 1)**2/3
Let 0*x + 0 - 3/5*x**4 + 6/5*x**3 + 0*x**2 = 0. Calculate x.
0, 2
Let n(t) = 0*t - 18*t**2 - t + 19*t**2. Let h(u) = 3*u**3 + 3*u. Let m(c) = -h(c) - 3*n(c). Factor m(r).
-3*r**2*(r + 1)
Let f(h) be the first derivative of -h**6/9 + 2*h**5/15 + 5*h**4/6 - 10*h**3/9 - 4*h**2/3 + 8*h/3 + 19. Suppose f(i) = 0. What is i?
-2, -1, 1, 2
Solve -6*w**2 + 10*w**2 + w**3 + 2*w**5 - 3*w**3 - 4*w**4 + 0*w**4 = 0 for w.
-1, 0, 1, 2
Let y(j) = 2*j - 13. Let g be y(6). Let b be -2*3/(21/g). Factor 0*t + 0*t**2 + 0 - b*t**3.
-2*t**3/7
Let y(a) = -a**5 - a**4 - a**2 - a - 1. Let d(b) = 2*b**5 + 6*b**4 + 8*b**3 - 4*b**2 + 4*b + 4. Let f(u) = d(u) + 4*y(u). Determine z, given that f(z) = 0.
-2, 0, 1, 2
Suppose -5*i - 2*w + 23 = 0, i = -w - w + 3. Let k = i - 3. Let u**5 - u + 6 - 6 + 2*u**4 - 2*u**k = 0. What is u?
-1, 0, 1
Let -23*x**3 + 0*x + 2*x + 21*x**3 = 0. What is x?
-1, 0, 1
Let b = 13 - 8. Suppose 6*r**4 + 2*r**2 - 8*r**4 + 2*r**b - 2*r**5 - r**5 + r = 0. What is r?
-1, 0, 1
Factor 0 - 4/5*k**3 + 0*k**2 + 0*k.
-4*k**3/5
Let s(y) be the first derivative of y**7/2940 - y**6/1260 - y**5/210 - 2*y**3/3 - 1. Let l(f) be the third derivative of s(f). Factor l(i).
2*i*(i - 2)*(i + 1)/7
Find c such that 8/3*c + 1/3*c**4 - 5/3*c**3 + 1/3*c**5 - 1/3*c**2 - 4/3 = 0.
-2, 1
Let r(d) be the first derivative of -5*d**3/3 - 5*d**2 + 40*d + 14. Factor r(y).
-5*(y - 2)*(y + 4)
Suppose 94 + 26 = 5*a. Let g(q) = q**4 - q**3 - q**2 + q + 1. Let x(f) = 7*f**4 - 8*f**3 - 7*f**2 + 8*f + 8. Let y(u) = a*g(u) - 3*x(u). Factor y(r).
3*r**2*(r - 1)*(r + 1)
Determine m so that -1 - 1/2*m**3 - 3/2*m**2 + 1/2*m**4 + 5/2*m = 0.
-2, 1
Let m(y) be the third derivative of 1/1155*y**7 - 3*y**2 + 0*y**3 - 1/132*y**4 + 0 + 0*y - 1/330*y**5 + 1/660*y**6. Suppose m(p) = 0. Calculate p.
-1, 0, 1
Let h(n) be the third derivative of -1/48*n**4 + 0 + 0*n**7 + 0*n + 5*n**2 + 0*n**3 + 0*n**5 + 1/120*n**6 - 1/672*n**8. Find f, given that h(f) = 0.
-1, 0, 1
Let g = 10480/399 + -490/19. Let r(y) be the first derivative of -2/7*y**2 + 0*y - 4 - g*y**3. Factor r(w).
-2*w*(5*w + 2)/7
Let x be 5 + -8 + 12/2. What is y in -x - y**2 + 6*y - 6*y**2 + 3*y**2 + y**2 = 0?
1
Let j(w) be the first derivative of -2*w**5/15 + w**4/12 + w**3/9 + 9. Find k such that j(k) = 0.
-1/2, 0, 1
Let i be -1*(10/(-2) - -2). Let q(u) = 2*u**3 - 6*u**3 - 7*u**3. Let s(o) = -4*o**3. Let n(v) = i*q(v) - 8*s(v). Suppose n(c) = 0. What is c?
0
Let c(r) be the first derivative of -r**2 - 1 - 1/3*r**6 + 2*r + 2/5*r**5 - 4/3*r**3 + r**4. Determine z, given that c(z) = 0.
-1, 1
Suppose -4*x = -0*x - 12. Suppose -x*j - j + 8 = 0. Let j*w**3 - 2*w**3 - w**4 = 0. Calculate w.
0
Let k(f) = 2*f**2 - 2*f - 7. Let i(c) = c**2 - c - 3. Let q(j) = -7*i(j) + 3*k(j). Factor q(p).
-p*(p - 1)
Let a(t) = -20*t**4 + 4*t**3 + 56*t**2 - 16. Let z(u) = -4*u**4 + u**3 + 11*u**2 - 3. Let c(g) = -3*a(g) + 16*z(g). Find i, given that c(i) = 0.
-1, 0, 2
Let m be (-1)/(-2) - ((-3045)/(-98))/(-15). Factor m*q**2 + 8/7 - 24/7*q.
2*(3*q - 2)**2/7
Suppose -k - 15 = -6*k. Factor 0*y + 2*y + k*y**4 + 4*y + 0*y**2 - 9*y**2.
3*y*(y - 1)**2*(y + 2)
Let g(c) = -7*c**2 - c. Let m(j) = -6*j**2 - 2*j. Let z(h) = 2*g(h) - 3*m(h). What is q in z(q) = 0?
-1, 0
Let s = -125/6 + 43/2. Let 4/3 - 4/3*u**2 - s*u + 2/3*u**3 = 0. What is u?
-1, 1, 2
Suppose -2*x - 2*r + 10 = -4, -x + 5*r = 23. Let m(j) be the first derivative of x - 1/16*j**4 - 3/8*j**2 + 1/4*j**3 + 1/4*j. What is d in m(d) = 0?
1
Let h(q) be the second derivative of -q**5/210 + q**4/14 - 3*q**3/7 + 2*q**2 - 3*q. Let j(g) be the first derivative of h(g). Factor j(c).
-2*(c - 3)**2/7
Let z(