) = 0.
-1, 0, 1
Suppose 2*z - 4*z + 4 = 0. Find w such that 0*w - 4*w - 2 + 6 + 4*w**z + 12*w = 0.
-1
Determine r so that 83*r - 28*r**2 - 4 - 79*r + 16 - 20*r**3 = 0.
-1, 3/5
Suppose 5 = 2*l + 1. Factor l*s**5 + 1 - 4*s**3 - 2 + 3 - 4*s**2 + 2*s + 2*s**4.
2*(s - 1)**2*(s + 1)**3
Let k(t) = -t + 11. Let z be k(6). Suppose -25 = -5*q + z*i, 3 = 2*q - 2*i + 7*i. Find d, given that 0 + 2/3*d**3 - 2/3*d**2 + 2/3*d**q - 2/3*d = 0.
-1, 0, 1
Let p(d) = -d**2 + 2*d + 10. Let o be p(4). Factor -45/2*r**o - 2 - 12*r - 25/2*r**3.
-(r + 1)*(5*r + 2)**2/2
Suppose -215 = 8*s - 3*s. Let c = s + 48. Suppose 3/2*u + 3/2*u**4 + 3/2*u**c + 3/2 - 3*u**2 - 3*u**3 = 0. Calculate u.
-1, 1
Let p(v) be the first derivative of 0*v + 3 + 1/2*v**3 - 3/10*v**5 - 1/8*v**4 + 1/2*v**2 - 1/12*v**6. Solve p(l) = 0.
-2, -1, 0, 1
Let o(w) be the third derivative of -8*w**2 + 1/480*w**6 + 1/240*w**5 + 0 + 0*w**3 - 1/48*w**4 + 0*w. Factor o(z).
z*(z - 1)*(z + 2)/4
Let k(n) be the second derivative of n**6/30 + n**5/10 - n**3/3 - n**2/2 - 35*n. Suppose k(l) = 0. What is l?
-1, 1
What is p in 2/5*p**3 + 0 + 2*p - 12/5*p**2 = 0?
0, 1, 5
Let i(z) be the second derivative of z**4/54 + 2*z**3/3 + 9*z**2 - 31*z. Find y such that i(y) = 0.
-9
Let w(d) = d**3 + d**2 - 2*d + 1. Let r(g) be the third derivative of -g**3/6 - 2*g**2. Let i(p) = 2*r(p) + 2*w(p). Factor i(q).
2*q*(q - 1)*(q + 2)
Solve 0*h**2 + 6*h**2 - 9*h**2 - 9 - 12*h = 0.
-3, -1
Let q(h) be the second derivative of 3*h**5/20 + 15*h. Determine l so that q(l) = 0.
0
Factor -3/5*j**4 + 0*j - 3/5*j**3 + 0 + 0*j**2.
-3*j**3*(j + 1)/5
Let s = 346 + -346. Factor 6/7*z**3 - 4/7*z - 2/7*z**2 + s.
2*z*(z - 1)*(3*z + 2)/7
Let b(u) be the third derivative of -19/20*u**6 - 3/5*u**5 + 33/35*u**7 + 0 + u**3 + 9/8*u**4 + 0*u + 6*u**2 - 27/112*u**8. Suppose b(f) = 0. What is f?
-1/3, -2/9, 1
Determine q, given that 1/4*q**3 + 3/4*q + 1/4 + 3/4*q**2 = 0.
-1
Let x(n) be the first derivative of n**6/27 - 2*n**5/15 + n**4/6 - 2*n**3/27 + 2. Find a, given that x(a) = 0.
0, 1
Suppose -4*w = -2*w - 4*g - 24, 18 = 4*w - 2*g. Suppose -2/7*j + 1/7*j**w + 1/7*j**3 + 0 = 0. What is j?
-2, 0, 1
Solve -13*r**3 + 8*r**2 + 6*r + 2*r**3 + 13*r**3 = 0.
-3, -1, 0
Suppose 0 = y - 3*y + 8, 2*t + y = 10. Let w be -1 + t/(1 - 0). Factor 1/3*i**3 - i**w + 0 + 2/3*i.
i*(i - 2)*(i - 1)/3
Let t(w) be the first derivative of w**4/3 - w**3/2 - w**2/2 + 3*w - 3. Let z(d) be the first derivative of t(d). Determine r, given that z(r) = 0.
-1/4, 1
Suppose s + 3 = 5*k - 11, -4*s - 5 = -3*k. Factor -2*g**2 - k*g**2 - 3*g**2 + 3*g + 5*g**2.
-3*g*(g - 1)
Suppose -2*t = 3*v, -v = t - 0*t + 1. Let a(r) be the second derivative of 2*r + 1/36*r**4 - 1/6*r**v + 0 - 1/18*r**3 + 1/60*r**5. Find p such that a(p) = 0.
-1, 1
Factor 0*b**4 + 0 + 0*b**3 + 0*b**2 - 1/8*b**5 + 0*b.
-b**5/8
Let a(j) = j**3 - 5*j**2 + j - 4. Let q be a(5). Let t be 3/(51/6 - q). Factor -9/5*y**2 + t*y + 7/5*y**3 + 0.
y*(y - 1)*(7*y - 2)/5
Let z = -29 + 31. What is c in 0*c + 0 - 1/2*c**z = 0?
0
What is t in -2*t**5 - 5/2*t**2 + 3/2*t**3 + 5/2*t**4 + 1/2*t + 0 = 0?
-1, 0, 1/4, 1
Let a(g) be the second derivative of -7*g**5/20 - 5*g**4/8 + g**3 + 3*g**2 - 5*g. Let k(h) be the first derivative of a(h). Find s, given that k(s) = 0.
-1, 2/7
Let z(a) be the second derivative of -1/3*a**3 + 2*a**2 - a + 0 + 1/10*a**5 - 1/3*a**4. Factor z(g).
2*(g - 2)*(g - 1)*(g + 1)
Let b(y) be the first derivative of -3/20*y**4 + 2 + 0*y - 1/10*y**2 - 1/25*y**5 - 1/5*y**3. Solve b(f) = 0.
-1, 0
Let n(h) be the second derivative of -h**4/12 + 5*h**3/6 + 3*h**2/2 + h. Let x be n(5). Factor 2*r**3 - 2*r**4 + 12*r**2 - 3*r**4 - 4*r - 5*r**x.
-r*(r - 1)*(r + 2)*(5*r - 2)
Let h(c) be the third derivative of 0 - 2*c**2 + 1/30*c**6 + 0*c**3 + 0*c**4 + 1/15*c**5 + 0*c. Factor h(q).
4*q**2*(q + 1)
Let q(m) = 3*m**2 - 5*m - 3. Let i(c) = 4*c**2 - 8*c - 4. Let g(w) = w. Let j(a) = -g(a) - i(a). Let n(f) = 5*j(f) + 7*q(f). What is b in n(b) = 0?
-1, 1
Let c = 6 - 6. Suppose 4*g = -q - 5, -q + 1 + c = g. Factor 0 - 1/3*j**4 + 1/3*j - 1/3*j**q + 1/3*j**2.
-j*(j - 1)*(j + 1)**2/3
Let q(z) be the first derivative of -6/5*z**3 - 1 - 1/5*z**2 + 13/10*z**4 + 4/5*z - 2/5*z**5. Solve q(s) = 0 for s.
-2/5, 1
Let k(s) be the second derivative of -s**10/16800 - s**9/3150 - 3*s**8/5600 + s**6/1200 - s**4/6 + s. Let q(t) be the third derivative of k(t). Factor q(p).
-3*p*(p + 1)**3*(3*p - 1)/5
Let j(x) be the second derivative of -x**5/20 - 19*x**4/12 - 40*x**3/3 + 50*x**2 - 68*x. Factor j(k).
-(k - 1)*(k + 10)**2
Let o be 53/7 + (-9)/(-21). Solve 4*a**3 - 7 + 7 - 2*a**2 + 14*a**4 + o*a**5 = 0 for a.
-1, 0, 1/4
Let m(r) be the first derivative of -1/21*r**3 + 0*r**2 + 1/42*r**4 - 2 - 3*r. Let p(n) be the first derivative of m(n). Factor p(y).
2*y*(y - 1)/7
Let w(g) be the first derivative of -g**6/30 - g**5/10 - g**4/12 - g + 2. Let t(a) be the first derivative of w(a). Factor t(o).
-o**2*(o + 1)**2
Let i(d) = d + 2*d**4 - 11*d + 8*d**5 + 10*d**4 + 8*d**3. Let v(n) = 7*n**5 + 11*n**4 + 7*n**3 - n**2 - 9*n. Let j(b) = -5*i(b) + 6*v(b). Factor j(p).
2*p*(p - 1)*(p + 1)**2*(p + 2)
Let z(m) be the first derivative of 1/36*m**4 + 1/9*m**3 + 2 - 1/60*m**5 + m + 0*m**2. Let h(t) be the first derivative of z(t). What is l in h(l) = 0?
-1, 0, 2
Let d be (-2)/(-3) + (-56)/(-24). Solve 6*k**2 - 5*k**4 - 3*k**4 + 8*k + 2*k**4 + d*k**5 - 11*k = 0 for k.
-1, 0, 1
Let q be (-65)/(-15) - 6/(-9). Let l(w) = -5*w**3 + 7*w**2 - 9*w + 1. Let h(m) = -11*m**3 + 13*m**2 - 18*m + 1. Let r(t) = q*l(t) - 2*h(t). Solve r(s) = 0.
1
Let v(c) = -2*c**3 - 11*c**2 + 5*c - 4. Let a(t) = t**2 - 6*t + 3. Let o be a(3). Let z be v(o). Factor -2/3 + 7/3*p**3 - 16/3*p**z + 11/3*p.
(p - 1)**2*(7*p - 2)/3
Let k be 0/(((-8)/12)/(2/(-6))). Let k - 4/3*t**4 + 2*t**3 + 1/3*t**5 + 1/3*t - 4/3*t**2 = 0. What is t?
0, 1
Let q(k) = k**2 + 1. Suppose 0*n = -3*l + 3*n + 18, 2*l = 3*n + 16. Let m be q(l). Suppose 1 + 1 - 2*t**2 - 5*t**2 + m*t = 0. Calculate t.
-2/7, 1
Let q(b) be the first derivative of b**6/40 - b**5/20 - b**4/4 + 2*b**2 + 3. Let g(r) be the second derivative of q(r). Factor g(c).
3*c*(c - 2)*(c + 1)
Find x, given that -18*x + 5*x**2 - 7 + x**2 + 31 - 3*x**2 = 0.
2, 4
Let p = -1 + 4. Factor 4 + 4 + 43*q - 3*q**p - 9*q**4 - 15*q + 26*q**2.
-(q - 2)*(q + 1)*(3*q + 2)**2
Factor 9/7*b - 54/7 + 12/7*b**2 - 3/7*b**3.
-3*(b - 3)**2*(b + 2)/7
Suppose 10*t - 24 = 9*t. Let m be 6/(-24)*t/(-9). Factor -m*p**2 - 2/3 + 4/3*p.
-2*(p - 1)**2/3
Let r(l) = 7*l**2 - 12*l - 19. Let a(q) = q**2 - 2*q - 3. Let o(s) = 39*a(s) - 6*r(s). Let o(c) = 0. What is c?
-1
Let y = 5 - 3. Let h = 134/3 + -44. Factor -h*u - 2/3*u**y + 4/3.
-2*(u - 1)*(u + 2)/3
Let z(y) be the second derivative of 3/10*y**6 + 0*y**3 + 3/10*y**5 + 1/14*y**7 - 4*y + 0*y**2 + 0 + 0*y**4. Factor z(n).
3*n**3*(n + 1)*(n + 2)
Suppose 3*f + 18 = 6. Let n be (-11)/(-3) + (-7 - f). Solve 8/3*d - n*d**2 - 8/3 = 0 for d.
2
Let w(a) = 8 - 2*a - 4*a**2 + a**3 + 9*a + 11*a**2. Let n be w(-6). Solve 4*v**3 - 4*v**4 + v**4 + v**4 - 2*v**n = 0.
0, 1
Let i(c) = c**2 + 22*c + 73. Let r be i(-18). Find u such that -1/2*u - r + 1/2*u**2 = 0.
-1, 2
Factor 8*i**2 + 9*i**3 + 0*i**4 - 12*i + 3*i**5 + 4*i**2 - 8*i**4 - 4*i**4.
3*i*(i - 2)**2*(i - 1)*(i + 1)
Let c = 11 - 9. Let r be c - (-2 + (0 - 0)). Factor 0 - 2/9*g - 8/9*g**r - 8/9*g**2 - 2/9*g**5 - 4/3*g**3.
-2*g*(g + 1)**4/9
Let d(w) = 19*w**3 + 18*w**2 + 3*w - 18. Let n(m) = 7*m**3 + 6*m**2 + m - 6. Let g(t) = 4*d(t) - 11*n(t). Factor g(h).
-(h - 6)*(h - 1)*(h + 1)
Let u(a) be the first derivative of a**9/3528 + a**8/1176 + a**7/1470 + a**3 - 2. Let h(y) be the third derivative of u(y). Factor h(n).
2*n**3*(n + 1)*(3*n + 2)/7
Let g(x) be the third derivative of 0*x**4 - 6*x**2 - 4/15*x**3 + 0 + 1/300*x**6 + 0*x + 1/50*x**5. Factor g(m).
2*(m - 1)*(m + 2)**2/5
Let a(f) be the second derivative of 2*f**6/15 - f**5/3 + f**4/9 + 2*f**3/9 + 5*f. Suppose a(i) = 0. Calculate i.
-1/3, 0, 1
Suppose -2*f + 6*f = 8. Suppose r**2 + r**4 + f*r**4 - 7*r**4 + 3*r**4 = 0. What is r?
-1, 0, 1
Let g(s) = 24*s**3 - 16*s**2 - 24*s - 4. Let d(u) = -u**3 + u + 1. Let q(p) = -20*d(p) - g(p). Determine f so that q(f) = 0.
-1, 1, 4
Let v(l) = -l**4 + 4*l**3 + 6*l**2 - 4*l - 2. Suppose 0*t - 8 = -4*t. Let a(b) = b**4 - 3*b**3 - 5*b*