0 - u**5/80 + u**4/48 + u**3/24 + 61*u. Determine b so that z(b) = 0.
-1, 0, 1
Let r(p) be the third derivative of -p**8/1176 + p**6/420 - 8*p**2. Determine m so that r(m) = 0.
-1, 0, 1
Let l(v) = -v**3 - 3*v**2 - 5*v - 6. Let j be l(-2). Factor j - 1/4*m**2 + 1/4*m.
-m*(m - 1)/4
Suppose -7 = -4*r + 5*b, 0 = b - 5*b - 12. Let k be -1 + 69/21 + r. Let 4/7 - 2/7*c**2 + k*c = 0. Calculate c.
-1, 2
Let l(z) be the first derivative of z**6/24 - z**5/10 + z**3/6 - z**2/8 + 16. Factor l(v).
v*(v - 1)**3*(v + 1)/4
Let x(k) be the first derivative of k**6/6 - k**5/5 - 3*k**4/4 + k**3/3 + k**2 + 7. Solve x(d) = 0 for d.
-1, 0, 1, 2
Suppose 0 = -0*h + h - 4*y - 13, -2*h + 3*y + 21 = 0. Factor h - t**2 + 4*t**2 + 2*t + 11*t - t.
3*(t + 1)*(t + 3)
Determine v, given that 2*v - 5*v**2 + 3/2*v**3 + 4 = 0.
-2/3, 2
Suppose 9/4*g**2 - 1/2*g**3 - 1/4*g**4 + 1/2*g - 2 = 0. What is g?
-4, -1, 1, 2
Let o(y) be the second derivative of -4/3*y**3 - 1/6*y**4 + 0 - 4*y**2 + y. Factor o(p).
-2*(p + 2)**2
Determine j, given that 1/2*j**3 - j - 1/2*j**2 + 0 = 0.
-1, 0, 2
Suppose 3*g - 24 = -g. Let b(d) = d**3 - 5*d**2 - 7*d + 9. Let k be b(g). Solve -4/7 + 10/7*v + 2/7*v**k - 8/7*v**2 = 0 for v.
1, 2
Factor -2*l**3 - 4*l**3 + 6*l**2 - 2*l + 7*l**4 - 5*l**4.
2*l*(l - 1)**3
Let s(d) be the third derivative of 0*d - d**2 + 0*d**3 - 1/60*d**6 + 0 + 1/12*d**4 + 1/105*d**7 - 1/30*d**5. Factor s(q).
2*q*(q - 1)**2*(q + 1)
Let y = -6 - -9. Let z be 0 + -2 - (-3 + 1). Determine b so that z*b + 0 + 2/5*b**2 + 2/5*b**y = 0.
-1, 0
Solve 4/3 + 1/3*u**3 - 7/3*u + 2/3*u**2 = 0 for u.
-4, 1
Let c be 2 + -2 + (8 - 3). Factor -z**4 - 3*z**c - 3*z**4 - 8*z**4 - 6*z**2 - 3*z**3 - 12*z**3.
-3*z**2*(z + 1)**2*(z + 2)
Let h(w) be the first derivative of -w**6/15 + 4*w**5/5 - 37*w**4/10 + 8*w**3 - 36*w**2/5 + 25. Factor h(j).
-2*j*(j - 3)**2*(j - 2)**2/5
Let j(s) be the second derivative of s**5/60 + 5*s**4/36 + s**3/3 + 49*s. Factor j(r).
r*(r + 2)*(r + 3)/3
What is d in 0 - 1 + 1 - 3*d**2 + 3*d**3 = 0?
0, 1
Let z = 20/13 + -8/39. Solve 1/3*c**3 - 5/3*c**2 + 8/3*c - z = 0.
1, 2
Suppose -1/5*b**3 + 0 - 9/5*b + 6/5*b**2 = 0. Calculate b.
0, 3
Let j(i) be the second derivative of -3*i**5/5 - 5*i**4/3 - 4*i**3/3 + 15*i. Factor j(m).
-4*m*(m + 1)*(3*m + 2)
Let o = -5195/305404 + 9/484. Let b = o + 2515/5679. Determine y, given that b + 2/9*y**3 + 10/9*y + 8/9*y**2 = 0.
-2, -1
Let v be (2/(-3))/((-168)/63). Let p(q) be the first derivative of -1/8*q**2 + 1/20*q**5 - 3/16*q**4 + v*q**3 + 0*q - 2. Factor p(y).
y*(y - 1)**3/4
Solve 1/2 - 1/4*v**4 + 3/4*v**3 - 3/4*v - 1/4*v**2 = 0 for v.
-1, 1, 2
Let i(h) be the first derivative of 7/22*h**4 + 32/33*h**3 + 0*h - 1 + 4/11*h**2. Factor i(q).
2*q*(q + 2)*(7*q + 2)/11
Let o = 1368 - 1365. Factor -36/5*r**o - 96/5*r**2 - 52/5*r - 8/5.
-4*(r + 2)*(3*r + 1)**2/5
Let v = 19 + -15. Let h(o) be the second derivative of 0*o**2 - 1/105*o**7 + 4/75*o**6 - 2*o + 0*o**v + 0 - 2/25*o**5 + 0*o**3. Factor h(r).
-2*r**3*(r - 2)**2/5
Determine j so that -1 - 57*j**3 - 1 + 56*j**3 - 4*j**2 - 6*j + j = 0.
-2, -1
Let n(t) be the second derivative of t**7/42 - t**5/10 + t**3/6 - 18*t. Factor n(w).
w*(w - 1)**2*(w + 1)**2
Suppose 12 = -4*u - 8. Let c = -5 - u. Factor c*n - 1/4*n**2 + 0.
-n**2/4
Factor -18 - 2*m**2 + 2*m + 12 + 10.
-2*(m - 2)*(m + 1)
Suppose 3*n - 26 = -4*h, -3*n = 3*h - 16 - 2. Suppose j - h = -j. Factor r**4 - r**4 + 2*r**j.
2*r**4
Let o(a) be the first derivative of -2*a**3/21 + 8*a**2/7 - 32*a/7 - 8. Factor o(t).
-2*(t - 4)**2/7
Let a(b) be the first derivative of -4*b**3/21 + 4*b/7 - 5. Factor a(z).
-4*(z - 1)*(z + 1)/7
Let b(t) = -7*t**3 + 89*t**2 - 112*t + 39. Let p(o) = 2*o**3 - 22*o**2 + 28*o - 10. Let n(k) = 2*b(k) + 9*p(k). Factor n(d).
4*(d - 3)*(d - 1)**2
Let y(n) = -n**2 + 14*n + 17. Let a be y(15). Let q(t) be the third derivative of t**a + 0 + 0*t - 2/27*t**3 - 1/270*t**5 + 1/36*t**4. Factor q(d).
-2*(d - 2)*(d - 1)/9
Let i = 3 - 1. Find x, given that -x**i + 10*x**2 - 3*x - 4 + x**2 - 3*x = 0.
-2/5, 1
Let z be ((-5)/(-8))/5*16. Determine x, given that 4/3*x**z - 1/3*x**3 - 4/3*x**4 + 1/3*x + 0 = 0.
-1, -1/4, 0, 1
Let q(o) be the second derivative of o**2 + 0 - 3*o + 1/8*o**4 + 1/20*o**6 + 1/4*o**3 - 7/40*o**5. Let f(u) be the first derivative of q(u). Factor f(d).
3*(d - 1)**2*(4*d + 1)/2
Let y be (-1)/((-11)/(-9)) - -1. Let q = 3225/11 - 293. Factor -q*t**2 + y + 2/11*t - 2/11*t**3.
-2*(t - 1)*(t + 1)**2/11
Let i be (-4)/(-12)*2*42/98. Solve -i*l**2 + 0 - 4/7*l = 0 for l.
-2, 0
Factor 2/3*a + 0 - 2/3*a**2.
-2*a*(a - 1)/3
Suppose -3 = -3*h - 15. Let b be h/18*(-2 - 0). Let -2/3*c**3 + 0*c - b*c**2 + 0 = 0. Calculate c.
-2/3, 0
Let x(r) be the first derivative of 0*r + 1/15*r**5 + 0*r**2 + 0*r**3 + 1 + 0*r**4. Determine o, given that x(o) = 0.
0
Let b(w) = -10*w**2 - w + 11. Let l(s) = -s**2 + 1. Let z(d) = -2*b(d) + 18*l(d). Factor z(p).
2*(p - 1)*(p + 2)
Factor 113*d**2 - 8*d - 69*d**2 - 64*d**2.
-4*d*(5*d + 2)
Let y = 1/334 + 165/668. Suppose -5*o + 3 = -7. Find b, given that y + b**o + b = 0.
-1/2
Solve 16/11*s - 14/11*s**3 + 2/11*s**2 - 10/11*s**4 + 8/11 - 2/11*s**5 = 0 for s.
-2, -1, 1
Suppose -o + 5 = 3*j - 4, 0 = 2*o + 2*j - 6. What is v in -3/4*v + o*v**2 - 1/2 + 1/4*v**3 = 0?
-1, 2
Suppose -8*w**2 + 5*w - 1 + 4*w**5 - 3*w**5 + 10*w**3 - 5*w**4 - 2*w**2 = 0. What is w?
1
Let y(c) be the third derivative of 0*c**3 + 169/120*c**6 + 0 + 0*c - 3*c**2 + 1/6*c**4 + 13/15*c**5. Factor y(g).
g*(13*g + 2)**2
Let o(m) = -4*m**4 + 10*m**3 - 2*m**2 + 2*m - 6. Let y(u) = -3*u**4 + 9*u**3 - 2*u**2 + u - 5. Let f(w) = -5*o(w) + 6*y(w). Factor f(d).
2*d*(d - 1)*(d + 1)*(d + 2)
Let w = -377/15 - -76/3. Let y(a) be the first derivative of 0*a**2 + 1/4*a**4 + 1/9*a**3 + 0*a + w*a**5 + 1 + 1/18*a**6. Factor y(d).
d**2*(d + 1)**3/3
Let z = -141 + 145. Let t(q) be the first derivative of -q**2 + 4/3*q**3 + 0*q - 5 - 1/2*q**z. Factor t(w).
-2*w*(w - 1)**2
Let j(y) be the first derivative of -2*y**5/15 - 7*y**4/6 + 16*y**3/9 + 17. Solve j(z) = 0 for z.
-8, 0, 1
Suppose -3/4*u**3 + 0*u + 0 - 3/4*u**4 + 0*u**2 = 0. What is u?
-1, 0
Let f(k) be the first derivative of 0*k + 1/4*k**4 - 1/2*k**2 + 4 - 1/3*k**3. Let m(v) = 2*v**4 + 4*v**3 - 8*v**2 - 8*v. Let x(h) = 8*f(h) - m(h). Factor x(y).
-2*y**3*(y - 2)
Let w be (672/18)/14*3/10. Factor p**2 - w - 8/5*p.
(p - 2)*(5*p + 2)/5
Let -1/6*d**5 + 0 + 1/2*d**3 - 2/3*d**2 + 1/3*d**4 - 2/3*d = 0. What is d?
-1, 0, 2
What is q in 3 - 3*q + 9/4*q**4 + 3*q**3 - 21/4*q**2 = 0?
-2, -1, 2/3, 1
Let o = -11/36 + 2/9. Let u = 1/4 - o. What is v in u*v - 1/3*v**4 + 0 + v**3 - v**2 = 0?
0, 1
Let l(d) be the third derivative of d**7/490 + d**6/140 - d**5/140 - d**4/28 + 3*d**2. Find r, given that l(r) = 0.
-2, -1, 0, 1
Let g(m) be the first derivative of 2*m**3/51 - 4*m**2/17 + 6*m/17 - 3. Factor g(f).
2*(f - 3)*(f - 1)/17
Let f(y) be the third derivative of y**6/160 - 3*y**5/40 + 5*y**4/32 - 8*y**2. Solve f(i) = 0 for i.
0, 1, 5
Let s(n) be the second derivative of -n**8/2800 - n**7/1400 + n**6/1200 - n**4/12 + 5*n. Let u(t) be the third derivative of s(t). Factor u(g).
-3*g*(g + 1)*(4*g - 1)/5
Let p(r) be the third derivative of -r**8/784 - r**7/490 + r**6/280 + r**5/140 + 5*r**2. Factor p(k).
-3*k**2*(k - 1)*(k + 1)**2/7
Let u(v) be the first derivative of -v**3/3 - 9*v**2/2 - 8*v + 61. Factor u(r).
-(r + 1)*(r + 8)
Let j(d) be the third derivative of d**5/270 + d**4/108 - 2*d**3/27 + 2*d**2. Factor j(w).
2*(w - 1)*(w + 2)/9
Let l(a) be the second derivative of -a**6/75 + a**4/10 - 2*a**3/15 + 7*a. Factor l(w).
-2*w*(w - 1)**2*(w + 2)/5
Let z(d) = -d**2 + 12*d + 18. Let l(j) be the second derivative of -j**4/6 + 2*j**3 + 9*j**2 + 2*j. Let k(r) = 3*l(r) - 4*z(r). Find v such that k(v) = 0.
-3
Let j = 16 - 14. Let z = -11 - -11. Find u such that z*u + 1/2 - 1/2*u**j = 0.
-1, 1
Suppose 0 = 5*o + 20, -24 = 2*y - 0*o + 4*o. Let p be y/48 + (-1)/(-3). Solve -1/4*n**3 - p*n**4 + 0 + 0*n + 0*n**2 = 0 for n.
-1, 0
Let x(k) be the second derivative of -k**7/42 - k**6/15 + k**5/5 + k**4/6 - k**3/2 - 13*k. Determine f, given that x(f) = 0.
-3, -1, 0, 1
Let -2/3*q**3 - 2/3*q**2 + 4/3*q + 0 = 0. Calculate q.
-2, 0, 1
Let z(l) = 2*l**4 - 9*l**3 - 13*l**2 - 13*l + 11. Let m(r) = r**4 - 5*r**3 - 7*r**2 - 7*r + 6. Let c = -7 - 4. Let b(u) = c*m