t is p in z(p) = 0?
-1, 2
Let b(a) = -5*a**4 + 5*a**3 + 4*a**2 - 4*a. Let f(q) = q**4 - q**3 - q**2 + q. Let t(o) = -b(o) - 4*f(o). Solve t(v) = 0.
0, 1
Let m be (0 + -9*1)*-1. Let z = m - 5. Suppose z + 7 - 1 + 2*r**2 + 8*r - 2 = 0. Calculate r.
-2
Let o(m) be the second derivative of -m**4/21 + 4*m**3/21 + 16*m**2/7 + 38*m. Factor o(d).
-4*(d - 4)*(d + 2)/7
Let s = 439/1962 + -1/654. What is k in 2/9*k**3 - s*k**2 - 2/3 - 10/9*k = 0?
-1, 3
Let g(k) = 9*k**4 - 7*k**3 + 7*k**2 - 4*k. Let n(x) = 4*x**4 - 4*x**3 + 4*x**2 - 2*x. Let q(p) = -2*g(p) + 5*n(p). Let q(b) = 0. What is b?
0, 1
Factor 6/7*f - 2/7*f**2 - 4/7.
-2*(f - 2)*(f - 1)/7
Let k(f) = -4*f - 4. Let d be k(-4). Let b = d + -7. Suppose -q**b + 3*q**4 - q**4 - q**4 + 2*q**3 + 0*q**3 = 0. What is q?
-1, 0, 2
Let c be (-2*1)/(8/(-12)). Determine u so that -u**3 - c*u**2 - 2*u - 4*u**2 + 5*u**2 + 2 + 3*u = 0.
-2, -1, 1
Find j such that 29*j**4 - 27*j**2 - 25*j**4 + 11*j**2 = 0.
-2, 0, 2
Let w(f) = -2*f**2 + f + 3*f**2 - f**3 + 0*f + 1. Let l be w(-1). Let 2/9*a**l - 2/9 + 0*a = 0. What is a?
-1, 1
Let l(w) = 132*w**4 + 408*w**3 + 396*w**2 + 88*w - 32. Let u(c) = 12*c**4 + 37*c**3 + 36*c**2 + 8*c - 3. Let j(n) = -3*l(n) + 32*u(n). Solve j(m) = 0 for m.
-2, -1, -1/3, 0
Find d such that 18 + 4*d**2 + 87 - 40*d - 24 + 19 = 0.
5
Let y(x) be the first derivative of -2*x**5/15 + x**4/4 - x**3/9 - 4. Factor y(m).
-m**2*(m - 1)*(2*m - 1)/3
Let y = 47/96 - -1/96. Factor 0 - q**2 + y*q**3 + 1/2*q.
q*(q - 1)**2/2
Determine q, given that 0 - 8/9*q - 392/9*q**4 + 8/3*q**2 + 14*q**3 = 0.
-1/4, 0, 2/7
Let w be 8/28 + 172/(-14). Let x = w - -15. Factor 2 + 10*v + 23/2*v**2 + 7/2*v**x.
(v + 1)*(v + 2)*(7*v + 2)/2
Factor 144*f**3 - 244*f**3 + f**4 - 500*f**2 - 6*f**4.
-5*f**2*(f + 10)**2
Let y(h) be the second derivative of h**4/36 + h**3/18 - 2*h**2 + 58*h. Determine m, given that y(m) = 0.
-4, 3
Let n(k) = 2*k**2 - 5*k + 6. Let o be n(1). Solve 2/5 + 14*f**2 - 98/5*f**o + 26/5*f = 0 for f.
-1/7, 1
Suppose -r = -2*r. Let c be 3/6*2*r. Factor 2/3*u**3 + 2/3*u**2 + c + 0*u.
2*u**2*(u + 1)/3
Let m(s) = s**3 + 5*s**2 + 4. Let q be m(-5). Factor 7*g**2 + g**2 - 10*g - q*g - 4.
2*(g - 2)*(4*g + 1)
Let d be (-4 + (-32)/(-9))*-3. Factor -4/3 - d*w - 1/3*w**2.
-(w + 2)**2/3
Let t(l) = -l**3 + 2*l**2 + 4*l. Let y be t(3). Suppose o - 2*o + y = 0. Factor 0 + 0*i**2 + 4/5*i**4 + 2/5*i**o + 0*i.
2*i**3*(2*i + 1)/5
Let f(m) be the second derivative of 3*m**7/560 - m**6/120 - 3*m**5/80 + m**4/8 - m**3/3 - 4*m. Let z(d) be the second derivative of f(d). Factor z(x).
3*(x - 1)*(x + 1)*(3*x - 2)/2
Let u(p) = p**3 + 0*p**3 + 2*p - 6*p**2 - 7 - 1. Let l be u(6). Find h, given that 3*h**3 - 2*h**2 + l*h**2 - 5*h**3 = 0.
0, 1
Find t, given that -16*t**3 - 5*t - 25*t**2 - 5*t**4 - 10*t**3 - 9*t**3 - 10*t**4 = 0.
-1, -1/3, 0
Suppose 0 = -0*r + 2*r. Let s be (-12)/(-9) + r - 0. Factor -1/3 + 4/3*h**3 + 4/3*h**4 - h**2 - s*h.
(h - 1)*(h + 1)*(2*h + 1)**2/3
Suppose -30 = 5*f - 0. Let n be 16/6 - 2/f. Let -3*x**n + 0*x**3 + x**3 = 0. Calculate x.
0
Factor 0*t - 9*t**4 - 1/2*t**2 + 0 - 17/4*t**3.
-t**2*(4*t + 1)*(9*t + 2)/4
Let n(f) be the first derivative of f**3/9 + f**2/3 - 8*f/3 - 10. Factor n(a).
(a - 2)*(a + 4)/3
Determine q, given that 8/5*q**3 - 2/5*q**4 - 6/5*q**2 + 0 + 0*q = 0.
0, 1, 3
Let p(c) be the second derivative of -c**4/4 - c**3/2 + 3*c**2 + 6*c. Find a such that p(a) = 0.
-2, 1
Let l(c) be the second derivative of -c**7/231 - c**6/33 - 9*c**5/110 - 7*c**4/66 - 2*c**3/33 + 13*c. Let l(v) = 0. Calculate v.
-2, -1, 0
Let x = 141/4 + -35. Let x + 0*s - 1/4*s**2 = 0. What is s?
-1, 1
Let u(c) be the third derivative of 0*c + 1/60*c**4 - 3*c**2 + 1/150*c**5 + 0*c**3 + 0. Factor u(z).
2*z*(z + 1)/5
Find c such that 7*c**2 + 22*c - 8*c + 11*c**2 - 10*c = 0.
-2/9, 0
Suppose r**4 - 2*r**3 - 8*r**3 + 9*r**3 + 2*r**2 - 2*r**3 = 0. What is r?
0, 1, 2
Let g be (1 + -1 + -5)/(12/(-4)). Factor -4/3*v**3 - 1/3 - g*v - 8/3*v**2.
-(v + 1)*(2*v + 1)**2/3
Let k be 5 + (-9 - 3)/4. Let b(y) be the third derivative of 3/20*y**6 - 2/3*y**4 + 0 + 1/10*y**5 + 0*y - 2*y**k - 4/3*y**3. Factor b(l).
2*(l - 1)*(3*l + 2)**2
Let t be (-5 - -3)*(0 - 2). Let j(c) be the first derivative of -1/9*c**3 + 1/12*c**t + 1/3*c - 1/6*c**2 + 1. Determine l so that j(l) = 0.
-1, 1
Let q be 544/(-51)*(-6)/4. Suppose -13*l - 6 = -q*l. Determine d so that -1/2 - 6*d**l - 4*d**3 - 3*d = 0.
-1/2
Let x(o) be the second derivative of -o**7/21 + o**5/5 - o**3/3 + 7*o. Let x(f) = 0. What is f?
-1, 0, 1
Determine n, given that 0 + 1/6*n + 1/6*n**2 = 0.
-1, 0
Let y(o) = -4*o**4 + 36*o**3 - 36*o**2 + 20*o. Let x(w) = w**4 - 12*w**3 + 12*w**2 - 7*w. Let h(i) = 8*x(i) + 3*y(i). Suppose h(a) = 0. What is a?
0, 1
Let l(q) be the first derivative of 5*q**3/3 - 25*q**2/2 + 27. Factor l(i).
5*i*(i - 5)
Let d be (16/(-32))/(2/(-8)). Suppose -3*f + d*f + 4*l = 18, -2*l = f - 12. What is b in 7/5*b**3 + 8/5*b - 19/5*b**f + 4/5 = 0?
-2/7, 1, 2
Suppose 167*q**3 + 177*q**3 - 326*q**3 + 3*q**4 + 33*q**2 + 18*q = 0. Calculate q.
-3, -2, -1, 0
Let d = -12 + 15. Factor 14*k**3 - 3*k - d*k**2 - 7*k**4 - 2*k**4 + k**3.
-3*k*(k - 1)**2*(3*k + 1)
Suppose -2*r + n + 10 = -0, 17 = -r - 5*n. Suppose v + 6 = r*v. Factor 0 + 0*f - 2/9*f**4 + 2/9*f**2 + 0*f**v.
-2*f**2*(f - 1)*(f + 1)/9
Factor -64*y + 33*y + 15*y + 4*y**2 - 8*y**2.
-4*y*(y + 4)
Let d(y) = -2*y. Let a be d(-1). Let l(u) be the second derivative of 0*u**a - 1/35*u**6 + 0*u**3 + 1/14*u**5 - u - 1/21*u**4 + 0. Factor l(c).
-2*c**2*(c - 1)*(3*c - 2)/7
Let t be 22/6 - 3 - 4/6. What is m in 2/3*m + t + 8/3*m**2 = 0?
-1/4, 0
Suppose 3*l - 5*y = 2*l + 2, 0 = -4*y. Suppose q = -z + 2, -q + 5*z + 50 = 4*q. Find k, given that 2*k - l + q*k - 2*k**2 + k - 5*k = 0.
1
Let w(q) be the first derivative of -q**4/14 + 2*q**3/7 - 8*q/7 - 27. Determine b, given that w(b) = 0.
-1, 2
Suppose -2*y = -2 + 10, -4*m - y + 12 = 0. Let l be m/2 + (1 - 0). Factor -1/6*f**5 - 1/6*f**2 + 0 - 1/2*f**l - 1/2*f**4 + 0*f.
-f**2*(f + 1)**3/6
Factor -1/8*d**3 + 0 + 0*d + 1/8*d**4 - 1/8*d**2 + 1/8*d**5.
d**2*(d - 1)*(d + 1)**2/8
Let z(c) be the second derivative of c**5/50 - c**4/15 - c**3/15 + 2*c**2/5 + c. Factor z(g).
2*(g - 2)*(g - 1)*(g + 1)/5
Suppose 2*w = 5*r - 235, -2*r + 155 = r - 4*w. Let u = 136/3 - r. Suppose -2/3 - x - u*x**2 = 0. What is x?
-2, -1
Let x = -148 - -218. Suppose -5*f + 3*f**3 - 51*f**5 - x*f**4 + 3*f + 20*f**2 + 2*f**5 - 2*f = 0. Calculate f.
-1, 0, 2/7
Factor -8/11*q**3 + 0 + 10/11*q**2 - 4/11*q + 2/11*q**4.
2*q*(q - 2)*(q - 1)**2/11
Let d(s) be the third derivative of s**6/1620 + s**5/540 - s**3/3 + 3*s**2. Let z(h) be the first derivative of d(h). What is q in z(q) = 0?
-1, 0
Let r be (-30)/4*(-16)/(-12). Let z be (-24)/r + (-4)/10. Factor t**3 - 2*t**2 + z + 0 - 3*t**2 - t + 3*t**2.
(t - 2)*(t - 1)*(t + 1)
Let y(k) = 4*k - 28. Let w be y(7). Suppose r = -d + 3, d + d - 1 = 3*r. Suppose -2/9*x**4 - 4/9*x**3 - 2/9*x**d + w + 0*x = 0. Calculate x.
-1, 0
Let t = 141154/5 - 28602. Let f = -368 - t. Suppose -f + 56/5*l - 12*l**2 + 18/5*l**3 = 0. Calculate l.
2/3, 2
Let c(h) = 70*h - 3. Let p be c(-3). Let z = p + 1919/9. Suppose 0 + 4/9*l - z*l**2 = 0. Calculate l.
0, 2
Factor -2*k**2 - k**5 - k**5 + 2*k**4 + 2*k**2.
-2*k**4*(k - 1)
Let x(b) be the second derivative of -b**5/90 + b**4/9 - b**3/3 + 7*b**2/2 - 2*b. Let g(m) be the first derivative of x(m). Let g(s) = 0. Calculate s.
1, 3
Let d = 116 - 463/4. Factor -d*i + 1/4*i**2 + 0.
i*(i - 1)/4
Let x = 7 - 4. Suppose -q + 2 + x = 0, -2*q + 10 = -5*m. Factor 3/4*h**2 - 5/4*h**3 + m + 1/2*h.
-h*(h - 1)*(5*h + 2)/4
Suppose -3*t = -6*t. Let f(r) be the second derivative of 0*r**2 + 1/75*r**6 - 1/50*r**5 + 0 + t*r**4 + 0*r**3 + 2*r. Factor f(c).
2*c**3*(c - 1)/5
Let t(k) be the third derivative of k**9/272160 - k**8/90720 + k**5/60 - k**2. Let b(m) be the third derivative of t(m). Factor b(p).
2*p**2*(p - 1)/9
Let q be (14/(-35))/(1/(-5)). Determine c, given that -2*c**4 + c**5 - 2*c**5 + 0*c**2 - c**q + 3*c**4 + c**3 = 0.
-1, 0, 1
Determine n, given that -3/4*n**3 + 27/4*n**2 - 75/4 - 45/4*n = 0.
-1, 5
Factor -2/21*o**3 + 2/7*o**2 - 2/21*o**4 + 4/21 + 10/21*o.
-2*(o - 2)*(o + 1)**3/21
Suppose 0 = 4*z - 29 - 3. Suppose 5*t - 3*t - z = 0. Factor 5*l**5 + 5 - 5 - 3*l**t - 2*l**3.
l**3*(l - 1)*(5*