 Let 25/4*j**b + 1/4*j**5 - 2*j**4 - 19/2*j**2 + 7*j - 2 = 0. What is j?
1, 2
Factor 1/2*r**2 + 1/2*r**3 + 0*r + 0.
r**2*(r + 1)/2
Let l be (-34)/(-8) - (13 - 9). Solve -l*u - 1/4 + 1/4*u**2 + 1/4*u**3 = 0.
-1, 1
Suppose -4*k = -4*a - 8, 0 = 3*k - 3*a + 6*a - 6. Find j such that -1/4 - 3/2*j**k + j**3 + j - 1/4*j**4 = 0.
1
Factor -2*p**2 - 3 - 1 + 2*p + 4*p.
-2*(p - 2)*(p - 1)
Let v(z) = -2*z**2 + 19*z - 14. Let m be v(18). Let w be (-496)/m - (-1)/5. Solve -5/4*j**2 - 1/4*j**3 - w*j - 3/4 = 0.
-3, -1
Let a(i) = -i**2 - 6*i + 12. Let c(u) = u**2 + 3*u - 6. Let g(m) = -2*a(m) - 5*c(m). Determine b so that g(b) = 0.
-2, 1
Let j(s) be the first derivative of -s**5/40 + s**4/8 - s**3/12 - s**2/4 + 3*s/8 + 28. Factor j(y).
-(y - 3)*(y - 1)**2*(y + 1)/8
Let v(d) be the first derivative of -d**4/54 + d**3/27 - d - 9. Let w(t) be the first derivative of v(t). Suppose w(x) = 0. Calculate x.
0, 1
Let x(o) be the first derivative of 5*o**4/4 + 5*o**3 + 5*o**2 - 4. Determine r so that x(r) = 0.
-2, -1, 0
Let a(d) be the second derivative of -4*d**7/231 - 7*d**6/165 - d**5/55 + d**4/66 - 19*d. Suppose a(m) = 0. What is m?
-1, 0, 1/4
Let s(h) be the third derivative of h**10/10080 - h**9/7560 - h**8/2240 + h**7/1260 - h**4/6 - 2*h**2. Let o(n) be the second derivative of s(n). Factor o(j).
j**2*(j - 1)*(j + 1)*(3*j - 2)
Let d(p) = p**2 - 5*p + 4. Let a(h) = h**2 - 4*h + 3. Let o(y) = 5*a(y) - 4*d(y). Let o(w) = 0. What is w?
-1, 1
Suppose -5*t + 3*h = -4, -2*t - 4*h - 7 = -19. Find x, given that 0 - 10/7*x**4 + 0*x - 16/7*x**3 - 8/7*x**t - 2/7*x**5 = 0.
-2, -1, 0
Let r(z) be the first derivative of -z**5 - 15*z**4/4 - 5*z**3 - 5*z**2/2 - 4. Let r(c) = 0. What is c?
-1, 0
Let k(j) be the first derivative of -j**9/1512 + j**8/840 + 4*j**3/3 + 2. Let v(c) be the third derivative of k(c). Factor v(l).
-2*l**4*(l - 1)
Suppose 1 + 5 = 2*d. Factor -4*f + 7*f + 4*f**2 + 2*f**d - f.
2*f*(f + 1)**2
Let q = 35 - 31. Let z(b) be the first derivative of 1/10*b**q + 2 + 2/15*b**3 + 0*b**2 + 0*b. Factor z(l).
2*l**2*(l + 1)/5
Determine y so that -24*y**3 - 24*y**3 - 12*y**4 + 3*y**3 + 24*y**2 + 45*y - 12 = 0.
-4, -1, 1/4, 1
Suppose 0 = -3*y + 23 + 13. Factor 13 - 12 + y*q + 3*q**2 + 8.
3*(q + 1)*(q + 3)
Let q(d) be the third derivative of -2*d**7/105 + d**6/10 - 2*d**4/3 + 7*d**2 + 1. Find v such that q(v) = 0.
-1, 0, 2
Factor 3*t**2 - 3*t**3 - 4*t + 49 + 7*t**3 - 53 + t**4.
(t - 1)*(t + 1)*(t + 2)**2
Let f(k) be the second derivative of 1/2*k**3 + 0 + 5*k + 0*k**2 - 1/2*k**4 + 3/20*k**5. Let f(l) = 0. Calculate l.
0, 1
Let w(t) = -25*t**4 + 130*t**3 + 105*t**2 - 170*t. Let v(j) = -2*j**4 + 10*j**3 + 8*j**2 - 13*j. Let y(r) = -40*v(r) + 3*w(r). Factor y(a).
5*a*(a - 2)*(a - 1)*(a + 1)
Let z = 65 - 40. Suppose z - 5 = 4*h. Determine n, given that -1/5*n**4 - 1/5 - 2/5*n + 2/5*n**2 - 2/5*n**h + 4/5*n**3 = 0.
-1, -1/2, 1
Suppose -3*y - 4*a + 3 + 1 = 0, -8 = -y + 2*a. Let o(w) be the first derivative of -2/7*w - 1 + 2/21*w**3 - 1/14*w**y + 1/7*w**2. Determine m so that o(m) = 0.
-1, 1
Let h be (-27)/9 - (-69)/21. Solve 0 - h*w**3 + 2/7*w + 0*w**2 = 0 for w.
-1, 0, 1
Suppose -2*m = 4*m - 12. Let j(o) be the second derivative of o + 0 - 1/36*o**4 + 1/60*o**5 + 0*o**3 + 0*o**m - 1/126*o**7 + 1/90*o**6. Factor j(x).
-x**2*(x - 1)**2*(x + 1)/3
Let b(m) be the third derivative of -m**6/360 + m**5/60 - 69*m**2. Factor b(a).
-a**2*(a - 3)/3
Let b(f) be the second derivative of -f**4/48 - f**3/6 - f**2/2 + 4*f. Factor b(z).
-(z + 2)**2/4
Let k(u) be the first derivative of 11*u**3/9 - 4*u**2 + 4*u/3 + 10. Factor k(w).
(w - 2)*(11*w - 2)/3
Let v(q) be the first derivative of 2*q**6/45 - 2*q**5/45 + q**4/72 + 2*q**2 - 3. Let c(d) be the second derivative of v(d). Find h such that c(h) = 0.
0, 1/4
Let n(m) be the third derivative of 25*m**8/1344 + m**7/84 - 5*m**6/96 - m**5/24 - 4*m**2. Let n(q) = 0. Calculate q.
-1, -2/5, 0, 1
Suppose 2*h = 4, 19 = 5*m + 3*h - 2. What is c in -m - c - 26*c**2 + 4*c + 23*c**2 + 3*c = 0?
1
Let c = 1 + -1. Suppose c = -5*y + 11 + 9. Factor 0*s**5 + 2*s**3 + s**4 + 2*s**5 - 5*s**y.
2*s**3*(s - 1)**2
Let d(v) be the third derivative of v**2 + 1/84*v**4 + 1/210*v**5 + 0 + 0*v - 2/21*v**3. Factor d(k).
2*(k - 1)*(k + 2)/7
Let g(r) = 6*r**5 + 2*r**4 - 5*r**3 - 15*r**2 + 14*r + 5. Let z(k) = -k**5 + k**3 + k**2 - k - 1. Let p(d) = -2*g(d) - 14*z(d). Let p(m) = 0. Calculate m.
-2, 1
Let x(b) = 2*b**2 + 9*b + 4. Let z be x(-4). Solve z - 2/9*o**4 + 2/9*o**2 - 2/9*o + 2/9*o**3 = 0 for o.
-1, 0, 1
Let r(k) be the third derivative of -k**8/10080 - k**7/3780 + k**6/540 - k**4/8 + 2*k**2. Let h(l) be the second derivative of r(l). Let h(f) = 0. Calculate f.
-2, 0, 1
Let m(h) be the third derivative of 0*h - 1/8*h**4 + 0*h**3 - 3*h**2 - 1/40*h**6 + 0 + 1/10*h**5. Factor m(s).
-3*s*(s - 1)**2
Let v(k) be the second derivative of -k**6/75 + 11*k**5/50 - 7*k**4/5 + 64*k**3/15 - 32*k**2/5 + 37*k. Solve v(i) = 0 for i.
1, 2, 4
Let d be -10*(-4)/70*3. Solve -18/7 - 2/7*f**2 + d*f = 0.
3
Let t(w) be the second derivative of 1/18*w**4 - 2/3*w**3 + 2*w + 0 + 3*w**2. Factor t(o).
2*(o - 3)**2/3
Suppose 0 = 4*i + 3*c + 1, 3*i = 2*c - 7*c - 9. Solve 2*o**2 + o**2 - o**i - 4*o + 2 = 0 for o.
1
Determine u so that 2/7*u**4 - 2/7*u + 2/7*u**3 + 0 - 2/7*u**2 = 0.
-1, 0, 1
Let b(h) be the third derivative of -5*h**8/336 - h**7/21 - h**6/24 + 3*h**2. Find p, given that b(p) = 0.
-1, 0
Suppose f - 6*f + 15 = 0. Let y be 1 + -1 + (f - 1). Factor -2 - 5*o + 2*o + y*o**2 + 10 - 5*o.
2*(o - 2)**2
Let l(f) be the second derivative of -f**4/24 - f**3/6 + f. Solve l(b) = 0.
-2, 0
Let t be 4 + (0 - (0 - -1)). Let h be 1*(4 - t - 1). Factor 1/2*v**3 + 1/2*v**2 + 0*v + h.
v**2*(v + 1)/2
Let d be (-1 - (0 - 4)) + -3. Suppose 8*c - 9*c + 5 = d. Factor 4*g**3 + c*g**4 - 3*g - 3*g**4 - 4*g**2 + 2 - 2*g**5 + g + 0.
-2*(g - 1)**3*(g + 1)**2
Suppose -6*c + 24 = 12. Let o(y) be the first derivative of 1/12*y**c - 2 + 0*y + 1/18*y**3. Find t such that o(t) = 0.
-1, 0
Let i(n) = -26*n**4 - 30*n**3 + 10*n**2 - 14*n - 14. Let y(z) = -5*z**4 - 6*z**3 + 2*z**2 - 3*z - 3. Let a(u) = -3*i(u) + 14*y(u). Find s such that a(s) = 0.
-1, 0, 1/4
Let q(m) = -9*m**2 - 9*m. Let h(u) = -u**2 - u. Let g(l) = -6*h(l) + q(l). Determine s so that g(s) = 0.
-1, 0
Find x, given that -1/5*x**3 + 0 + 0*x - 2/5*x**2 = 0.
-2, 0
Suppose 2/3*f - 2/3*f**3 + 0*f**2 + 0 = 0. Calculate f.
-1, 0, 1
Let v(h) = h**3 - h**2 + h - 1. Let p(d) = -2*d**3 + d**2 + 1. Let w = 6 - 5. Let x(i) = w*p(i) + v(i). What is t in x(t) = 0?
-1, 0, 1
Let t = -56 - -94. Suppose -3*h - 5 = 3*i - t, h - 4*i + 14 = 0. Factor -3*z - h*z + 5*z - 2*z**2.
-2*z*(z + 2)
Let t = -1 - 1. Let q be 111 + -4 - (-6)/t. Solve 13 - 3 + 228*r**2 + 6 + q*r + 190*r**3 + 50*r**4 = 0 for r.
-2, -1, -2/5
Let c(f) = -19*f**3 + 4*f**2 + f - 3. Let g be c(-3). Let l = g + -4879/9. Find b, given that -l*b - 2/9 - 10/9*b**2 - 4/9*b**3 = 0.
-1, -1/2
Let j(c) be the second derivative of 3*c**5/80 + 3*c**4/16 - 3*c**2/2 + 45*c. Factor j(n).
3*(n - 1)*(n + 2)**2/4
What is j in -6*j**3 - j**4 - 24*j - 2 - 20*j**4 + 0*j + 63*j**2 - 10 = 0?
-2, -2/7, 1
Let a(d) = -2*d + 6. Let c be a(-7). Suppose -4*m = m - c. Factor 3*g**2 - 4*g**m + 5*g**4 - 4*g**2.
g**2*(g - 1)*(g + 1)
Let c(n) be the second derivative of 0 + 8*n - 1/24*n**4 + 1/3*n**3 - 3/4*n**2. Suppose c(i) = 0. Calculate i.
1, 3
Solve 1/2*b**4 + b**3 - b + 0 - 1/2*b**2 = 0 for b.
-2, -1, 0, 1
Let j(u) be the second derivative of 3*u - 1/84*u**4 + 0*u**2 + 0 - 1/42*u**3. Factor j(w).
-w*(w + 1)/7
Factor -2/5*g**4 + 0*g + 4/5*g**2 + 0*g**3 - 2/5.
-2*(g - 1)**2*(g + 1)**2/5
Suppose -10*h = -0*h. Let a(w) be the second derivative of 0*w**4 + 0*w**2 + 0 + 0*w**5 - 3*w + 1/21*w**7 + 0*w**6 + h*w**3. Let a(u) = 0. Calculate u.
0
Let k be 94/14 - (-6)/21. Let f = -3 + k. Determine g so that -g**4 + g**f - 2*g**4 = 0.
0
Determine o so that 2*o**2 + 0*o + 3*o**2 - 20*o - 25 = 0.
-1, 5
Let p = -5 - -9. Find c such that 3*c**4 - 6 + 3*c**3 - p*c**2 - 4*c**2 - c**2 - 15*c = 0.
-1, 2
Factor 1/3 + 0*v - 1/3*v**2.
-(v - 1)*(v + 1)/3
Let v(n) be the third derivative of -n**5/60 + n**4/4 - 3*n**3/2 - 2*n**2. Factor v(d).
-(d - 3)**2
Let m(p) be the first derivative of 2*p**5/75 + p**4/6 + 14*p**3/45 + p**2/5 - 10. Factor m(w).
2*w*(w + 1)**2*(w + 3)/