*(f - 2)/2
Suppose -3*l - 240 + 663 = 0. Let b = l - 139. Factor 12/7*m**3 + 0 - 4/7*m**4 - 12/7*m**b + 4/7*m.
-4*m*(m - 1)**3/7
Let c(f) be the first derivative of -2*f**3/3 + 3*f**2 - 40. Factor c(g).
-2*g*(g - 3)
Let 126*p - 132*p**2 - 24 + 99/2*p**3 - 6*p**4 = 0. What is p?
1/4, 2, 4
Factor n**2 + 7*n**2 - 524 - 9*n**2 - 40*n + 124.
-(n + 20)**2
Suppose 3*h = -h + w, 0 = 2*h - 7*w + 2*w. Factor h - 4/7*g**3 + 20/7*g**2 - 16/7*g.
-4*g*(g - 4)*(g - 1)/7
Let j(r) be the second derivative of r**5/10 + 3*r**4/2 + 5*r**3 + 7*r**2 - r + 14. Factor j(q).
2*(q + 1)**2*(q + 7)
Let n(u) be the second derivative of u**5/70 + 2*u**4/7 + 12*u**3/7 + 32*u**2/7 + 299*u. Solve n(d) = 0 for d.
-8, -2
Let j = 412/3 - 137. Let y(t) be the third derivative of j*t**4 - 1/15*t**5 + 0*t + 0 - 2*t**2 - 2/3*t**3. Factor y(i).
-4*(i - 1)**2
Let q be (-24)/(-180) + ((-438)/(-90) - 2). Solve 2/11*u**2 + 6/11*u**4 + 0 - 2/11*u**5 + 0*u - 6/11*u**q = 0.
0, 1
Let i be (-2 - 2) + 3 + 8. Determine j so that -i*j - 9*j + 18*j - 2*j**2 = 0.
0, 1
Let n(c) be the third derivative of c**6/720 + c**5/36 + 25*c**4/144 + 9*c**2 - 3*c. Factor n(w).
w*(w + 5)**2/6
Let t(a) be the third derivative of 0 + 0*a - 1/63*a**8 + 1/45*a**6 - 8*a**2 - 8/45*a**5 + 1/9*a**4 + 2/45*a**7 + 2/9*a**3. Let t(o) = 0. What is o?
-1, -1/4, 1
Let p = 3074 + -3073. Determine z so that 2*z**3 + p - 2*z**4 + 1/2*z**5 - 5/2*z + z**2 = 0.
-1, 1, 2
Factor -3 + 5*b**2 + 25*b + 0 + 3.
5*b*(b + 5)
Let p(y) be the first derivative of -y**5 + 5*y**4 + 80*y**3 + 280*y**2 + 400*y + 215. Factor p(c).
-5*(c - 10)*(c + 2)**3
Let a(k) = k**2 - 3*k - 9. Let s be a(7). Let d = s - 14. What is t in -3*t**2 - 48*t**3 - 163*t**4 - 310*t**5 - t**2 + 54*t**d - 29*t**4 = 0?
-1/4, 0
Let q(r) be the second derivative of r**5/50 + 13*r**4/30 - 152*r**3/15 + 336*r**2/5 - 42*r + 2. Factor q(m).
2*(m - 4)**2*(m + 21)/5
Let x(d) be the second derivative of d**4/3 + 12*d**3 + 34*d**2 + d + 33. Factor x(y).
4*(y + 1)*(y + 17)
Let z(n) = -35*n**2 + 45*n - 10. Let j(o) = -o**2 + o - 1. Let b = -102 - -103. Let p(w) = b*z(w) - 30*j(w). Determine c so that p(c) = 0.
-1, 4
Solve -7/3*g**2 + 16/3*g - 4/3 = 0.
2/7, 2
Let z(k) = -10*k**4 - 10*k**3 - 5*k**2 - 5*k - 5. Let y = -13 - -18. Let m(q) = -q**4 - q - 1. Let w(h) = y*m(h) - z(h). Determine u, given that w(u) = 0.
-1, 0
Let m be (20/(-16) - 167/20)/(-2). What is a in 108/5*a + 78/5*a**2 - 15*a**4 + m - 27*a**3 = 0?
-2, -2/5, 1
Let q(l) = -3*l**2 + 18*l - 6. Let s be -5*4/(-10) - 0. Let o be (-96)/(-40)*5/s. Let k(u) = -u - 1. Let c(x) = o*k(x) + q(x). Factor c(n).
-3*(n - 2)**2
Let z = -13 - -4. Let o be 192/(-18)*z/6. Determine j, given that 25*j**4 - 13*j + 6*j**3 + 5 + 8*j + 15*j**5 - o*j**3 - 30*j**2 = 0.
-1, 1/3, 1
Suppose -4*w - 35 = 5*i, 18 = 4*i + 5*w + 55. Let r be (4/1 + i)/3. What is m in -r*m - 2/3*m**2 + 2/3 + 1/3*m**3 = 0?
-1, 1, 2
Let j = 88 - 79. Factor -14 + 1 - 55*p**3 + 1 + 52*p**3 + j*p**2.
-3*(p - 2)**2*(p + 1)
Let i(t) be the second derivative of -t**4/28 + 23*t**3/14 - 33*t**2/7 - 2*t - 23. Factor i(w).
-3*(w - 22)*(w - 1)/7
Let t(f) be the first derivative of -16*f**3 + 13*f**4 - 24/5*f**5 - 29 + 2/3*f**6 + 0*f + 8*f**2. What is j in t(j) = 0?
0, 1, 2
Let p be (1/(-18)*-6)/((-1)/(-6)). Suppose -y = -2*d - 0*y + 3, 3*y - 7 = -p*d. Suppose 12*m + 8/3 + 12*m**d = 0. Calculate m.
-2/3, -1/3
Let i = 52 + 8. Let q be ((-36)/(-75))/(18/i). Factor -2/5*g**4 - 12/5*g**2 - q*g**3 - 2/5 - 8/5*g.
-2*(g + 1)**4/5
Let z(f) be the third derivative of -f**6/80 - 7*f**5/40 + 5*f**4/2 - 11*f**3 - 1021*f**2. Factor z(w).
-3*(w - 2)**2*(w + 11)/2
Let t(r) be the third derivative of r**6/60 - 12*r**5/5 + 144*r**4 - 4608*r**3 - 3*r**2 + 14*r. Factor t(p).
2*(p - 24)**3
Let m be 213/(-120) - ((-5)/5)/(-3). Let j = 7/24 - m. What is s in -9*s**3 + 0*s + j - 93/5*s**2 = 0?
-2, -2/5, 1/3
Let f(p) = p**2 + 29*p + 34. Let j be f(-28). Suppose h + 0 = 7. Find l such that -h*l**3 + 3*l + 4*l**2 - 2*l**3 - l**2 - j*l**5 - 15*l**4 = 0.
-1, 0, 1/2
Find b, given that 148/3 + 26*b + 2/3*b**2 = 0.
-37, -2
Factor -1/6*d**3 + 7/6*d + 2/3*d**2 - 5/3.
-(d - 5)*(d - 1)*(d + 2)/6
Let k(o) be the second derivative of -o**8/6720 - o**7/224 - 5*o**6/96 - 25*o**5/96 + o**3 + 6*o. Let f(r) be the second derivative of k(r). Factor f(n).
-n*(n + 5)**3/4
Suppose 2*l + 5*f + 120 = 0, -3*l - 4*f + 84 = -5*l. Let h = l - -152/3. Solve -h*c**4 + 2/3 - 4/3*c**3 + 0*c**2 + 4/3*c = 0.
-1, 1
Let n(r) = -9*r**2 - 15*r - 30. Let v(f) = -6*f**2 + f + 3*f**2 - 2*f**2 + 4*f**2. Let u(j) = n(j) - 6*v(j). Determine d, given that u(d) = 0.
-5, -2
Let z(m) be the third derivative of -3/2*m**4 + 0*m + 0 + 13*m**2 + 1/20*m**5 + 18*m**3. What is l in z(l) = 0?
6
Let y be (174/3)/(-2 + 0). Let a = y + 34. Find q such that 0*q + 5*q - a*q**4 + 3*q**3 + 6*q**2 - q**2 - 8*q**3 = 0.
-1, 0, 1
Let q = 82523/3 + -27505. Factor -q*b + 2/3*b**2 + 2.
2*(b - 3)*(b - 1)/3
Let z(u) be the first derivative of 1/2*u**2 + 0*u - 1/3*u**3 + 11. Solve z(x) = 0 for x.
0, 1
Let d(b) = -19*b + 90*b**2 + 33*b - 42*b - 65*b**4 - 32*b. Let w(y) = 11*y**4 - 15*y**2 + 10*y. Let f(k) = 6*d(k) + 35*w(k). Factor f(u).
-5*u*(u - 1)**2*(u + 2)
Let i(b) be the first derivative of b**5/10 - b**4/6 - 2*b**3/3 - 11*b + 11. Let o(t) be the first derivative of i(t). Factor o(z).
2*z*(z - 2)*(z + 1)
Let d be (-3)/(-6)*12 + -1. Suppose 0 = d*h - 8 - 2. Determine w, given that -5*w**3 + 1 - 7 + 2 + 8*w + 7*w**h = 0.
-1, 2/5, 2
Let h(y) be the first derivative of 5*y**3/3 + 105*y**2/2 - 535. Let h(z) = 0. Calculate z.
-21, 0
Let k = -12998/3135 + 218/55. Let g = k + 6/19. Determine t so that 0*t - 2/15 + g*t**2 = 0.
-1, 1
Suppose -7*c - 163*c = -31*c - 556. Determine z so that 2/3*z**3 + 0*z + 0 + 8/9*z**c - 2/9*z**2 = 0.
-1, 0, 1/4
Find a, given that 16/5 + 88/5*a + 76/5*a**2 + 18/5*a**3 = 0.
-2, -2/9
Let h = 2640 + -10557/4. Factor 3/4*z**2 - h*z**3 + 3/4*z - 3/4.
-3*(z - 1)**2*(z + 1)/4
Let z = -5 + 10. Suppose -23 = -2*l + 5*u, 15 - 4 = -l - z*u. Factor l*k - 2/3 - 10/3*k**2.
-2*(k - 1)*(5*k - 1)/3
Let y = -103/20 - -27/5. Factor 0*b - 1 + y*b**2.
(b - 2)*(b + 2)/4
Let x(g) be the first derivative of 2*g**3/21 - 4*g**2/7 - 64. What is q in x(q) = 0?
0, 4
Suppose 21*b = 14*b + 28. Let i be 2 + b/((-48)/20). Determine g so that -4/3*g**2 - 2/3 + i*g**3 + 5/3*g = 0.
1, 2
Let s(w) = -4*w**4 - 112*w**3 - 1348*w**2 - 4056*w - 3576. Let u(q) = q**3 + 2*q**2 + q + 1. Let b(y) = -s(y) + 24*u(y). Suppose b(h) = 0. What is h?
-15, -2
Let w(c) be the second derivative of 5/4*c**2 + 5/24*c**4 - 5/6*c**3 - 18*c + 0. Let w(v) = 0. What is v?
1
Let c be (-4)/6 - (-66)/18. Let p be (0 - -31) + (-24)/12. Solve p*k**2 - 27*k - 50*k**2 + c - 9 = 0.
-1, -2/7
Determine d, given that 2/15*d**5 - 2/3*d + 8/15*d**3 - 4/15*d**2 - 4/15 + 8/15*d**4 = 0.
-2, -1, 1
Let q be (324/(-90))/(0 + (-8)/10). Factor -q + z**3 + 11/2*z**2 + 6*z.
(z + 3)**2*(2*z - 1)/2
Let z = -1097/4 + 5501/20. Let s(t) be the first derivative of 0*t**2 - 4/3*t**3 + z*t**5 - 3 + 0*t - t**4 + 2/3*t**6. Suppose s(o) = 0. Calculate o.
-1, 0, 1
Let l(g) be the first derivative of -24 - 1/2*g**2 - 3/2*g + 1/6*g**3. Factor l(f).
(f - 3)*(f + 1)/2
Let m = 556621/198 - 2811. Let i = m + 5/22. Factor i*a**2 + 2/9*a + 0 - 4/9*a**4 - 2/9*a**5 + 0*a**3.
-2*a*(a - 1)*(a + 1)**3/9
Let c(o) = -5*o**2 - 9*o + 64. Let a(w) = 5*w**2 + 10*w - 65. Let v(k) = -4*a(k) - 5*c(k). Solve v(q) = 0 for q.
-4, 3
Factor 3*o**4 + 7347*o - 7149*o + 3*o**3 + 9*o**3 - 213*o**2.
3*o*(o - 6)*(o - 1)*(o + 11)
Let p = -8 - -12. Suppose -5*q + 3*y = -14, -5*q + p*y + 12 = -0. Factor 0*b**5 - 17*b**q + 18*b**4 - b**5.
-b**4*(b - 1)
Let f(l) be the first derivative of 4*l**3/9 + 232*l**2/3 + 13456*l/3 - 31. Find p such that f(p) = 0.
-58
Let y(z) be the second derivative of z**7/42 - 3*z**5/80 + z**4/48 - 16*z. Determine u so that y(u) = 0.
-1, 0, 1/2
Factor 253 + 0*d**2 - 261 + 8*d**2 + 2*d**3 - 2*d.
2*(d - 1)*(d + 1)*(d + 4)
Suppose 2*m - 2*o = 0, -6*m + o = -2*m. Suppose 22 = 4*t + 2*q, 8 = 3*q - 1. Solve 0 + 1/6*l**3 + 0*l - 1/6*l**t + m*l**2 = 0.
0, 1
Let c be ((-3)/2)/(3 + -9). Let p be (30/12 + -5)/(1/(-2)). Determine b so that 1/4*b**4 - 1/2*b**2 + c + 3/2*b**3 - 3/4*b**p - 3/4*b = 0.
-1, 1/3, 1
Determine d so that 7*d**3 - 147*d**2 + 3*d**4 - 86*d**3 - 6