*b**2 - 10/7*b.
-2*(b + 1)*(4*b + 1)/7
Let d(j) be the second derivative of -j**4/4 + j**3 - 3*j**2/2 - 2*j. Factor d(o).
-3*(o - 1)**2
Let w(p) be the first derivative of -p**6/24 - p**5/10 + p**3/6 + p**2/8 - 5. Factor w(r).
-r*(r - 1)*(r + 1)**3/4
Suppose -3*r + 4*b - 7 = 0, 0*r + 4 = -r + 3*b. Let t = r + 5. Suppose -z**2 + 2*z**t + 2*z**2 - 5*z**2 + 2 = 0. What is z?
-1, 1
Let v(f) be the first derivative of 5*f**6/3 + 6*f**5/5 - f**4 - 6. Factor v(b).
2*b**3*(b + 1)*(5*b - 2)
Factor -1/6*n**4 - 1/2*n**3 + 1/2*n - 1/6*n**2 + 1/3.
-(n - 1)*(n + 1)**2*(n + 2)/6
What is q in 2/15*q**4 - 4/15*q**3 + 0*q**2 + 4/15*q - 2/15 = 0?
-1, 1
Suppose -3*w + 4*w - 2*c = 7, 0 = 5*w - 2*c - 19. Determine u, given that 1/2*u**w - 1/2*u - 1/4*u**4 + 1/4 + 0*u**2 = 0.
-1, 1
Let a(n) be the first derivative of -8*n**6/3 + 72*n**5/25 - 21*n**4/20 + 2*n**3/15 + 24. Factor a(v).
-v**2*(4*v - 1)**2*(5*v - 2)/5
Solve -3714*r + 3649*r + r**2 + 4*r**2 = 0.
0, 13
Let r(f) be the third derivative of -f**5/450 - 19*f**2. Factor r(q).
-2*q**2/15
Let k be 329/(-2) - (-5)/(-10). Let m = k - -1157/7. Factor 0 + 2/7*x**3 + m*x - 4/7*x**2.
2*x*(x - 1)**2/7
Let y be 1/(4 + -3) - -1. Factor -2 + 2*t**2 + 2*t - 2 + 2 - y.
2*(t - 1)*(t + 2)
What is d in 144 - 8*d**2 - 60*d**2 + 11*d**2 - 4*d**3 + 13*d**2 - 96*d = 0?
-6, 1
Let t(r) be the third derivative of r**8/2184 - 2*r**7/1365 - 10*r**2. Factor t(n).
2*n**4*(n - 2)/13
Let q(m) be the third derivative of -m**8/2520 + m**7/756 - m**6/1080 + m**4/24 - m**2. Let c(b) be the second derivative of q(b). Factor c(s).
-2*s*(s - 1)*(4*s - 1)/3
Let p(c) be the first derivative of c**4/12 - c**3/3 - 3*c**2/2 + c + 1. Let d(h) be the first derivative of p(h). Find a, given that d(a) = 0.
-1, 3
Let w(l) be the third derivative of 4/15*l**6 - 6*l**2 - 2/3*l**4 + 0 - 2/3*l**3 - 1/21*l**8 + 0*l + 2/15*l**5 - 2/105*l**7. Let w(q) = 0. Calculate q.
-1, -1/4, 1
Let n(w) be the second derivative of -2*w**6/25 - 9*w**5/25 - w**4/4 + 6*w**3/5 + 27*w**2/10 - 36*w. What is x in n(x) = 0?
-3/2, -1, 1
Suppose -f + 0*f = 0. Let t = -9/2 + 19/4. Factor f - 1/4*k**2 - t*k.
-k*(k + 1)/4
Let m(d) = 2*d + 6. Let v be m(-6). Let i(l) = -l**4 - l**3 - l**2 - l. Let p(h) = 7*h**4 + 4*h**3 + 7*h**2 + 6*h. Let q(z) = v*i(z) - p(z). Factor q(j).
-j**2*(j - 1)**2
Let b(k) be the third derivative of -k**7/280 - k**6/240 + k**5/20 + k**4/24 + k**2. Let a(g) be the second derivative of b(g). Determine i so that a(i) = 0.
-1, 2/3
Let b be (12/(-30))/((-2)/10). Factor -2*r - 2*r + 1 + 3*r**3 + 3*r**2 + 7*r - b*r**3.
(r + 1)**3
Let j = 1751/11 - 159. Suppose 4/11 - j*w**2 + 2/11*w = 0. Calculate w.
-1, 2
Let k(b) be the third derivative of 0*b**3 + 0 + 1/80*b**6 + 0*b**4 - 1/672*b**8 - 1/60*b**5 + 0*b + 0*b**7 - 6*b**2. Find q such that k(q) = 0.
-2, 0, 1
Solve 1/8*t**3 - 1/8*t - 1/8*t**2 + 1/8 = 0.
-1, 1
Let y(o) be the second derivative of -1/2*o**2 + 1/3*o**3 - 3*o + 0 - 1/12*o**4. Let y(x) = 0. What is x?
1
Let r = 20 + -17. Solve -28 - h**2 + h - r*h**3 + 2*h**3 + 29 = 0.
-1, 1
Let k(d) = 4*d**2 - 2*d + 3. Let v(q) = 7 + 13*q - 11 - 3*q. Let z be v(-3). Let a(r) = -23*r**2 + 12*r - 17. Let y(o) = z*k(o) - 6*a(o). Factor y(c).
2*c*(c - 2)
Let m(v) = 18*v**3 + 8*v**2 - 12*v. Let k(s) = 3*s - 3. Let n be k(5). Let u(q) = -q**3 - q**2 + q. Let p(d) = n*u(d) + m(d). Factor p(o).
2*o**2*(3*o - 2)
Let n(d) be the second derivative of 0 + 0*d**2 - 1/20*d**5 + 1/6*d**3 + 0*d**4 + 2*d. Factor n(a).
-a*(a - 1)*(a + 1)
Suppose 5 = -4*m + 1, -5*g + 13 = -3*m. Factor 8/11*q**g + 10/11*q + 2/11.
2*(q + 1)*(4*q + 1)/11
Let n(r) be the second derivative of r**4/8 + 7*r**3/2 + 39*r**2/4 + r - 8. Factor n(f).
3*(f + 1)*(f + 13)/2
Suppose 4*k - 8 = 0, -3*l - 2*k = 2*l - 19. Factor 4*y**l + 2*y + 2*y**4 + 5*y**2 + 2*y**3 + y**2.
2*y*(y + 1)**3
Suppose 3*o - 4*p = 5*o, 0 = -2*o - 5*p - 2. Let m = o + 1/2. Factor -m*b**2 + 3/2*b**3 + 6 + 0*b.
3*(b - 2)**2*(b + 1)/2
Let g(t) be the second derivative of -t**3/3 - t**2/2 - 5*t. Let a be g(-2). Find n, given that -18*n - 7/2*n**a + 4 + 15*n**2 = 0.
2/7, 2
Let h(j) be the first derivative of 6*j**2 - 2*j**4 - 4*j - 8/3*j**3 + 12/5*j**5 - 5 - 2/3*j**6. Factor h(i).
-4*(i - 1)**4*(i + 1)
Let r be (1/(-3)*1)/(11/(-6)). Factor 0 + 0*o - 2/11*o**3 + r*o**2.
-2*o**2*(o - 1)/11
Suppose -2*s - 2*s + 16 = 0. Factor 12*d - 48*d**3 + 0*d**2 + 8 + s*d**2 + 24*d.
-4*(d - 1)*(3*d + 2)*(4*d + 1)
Suppose -4*d = -13*d + 27. Let u(j) be the second derivative of -d*j - 1/12*j**3 + 0*j**2 - 1/24*j**4 + 0. Factor u(a).
-a*(a + 1)/2
Let x(s) = 385*s**2 - 635*s + 180. Let o(q) = 32*q**2 - 53*q + 15. Let a(h) = 35*o(h) - 3*x(h). Determine u so that a(u) = 0.
3/7, 1
Let d be (-315)/(-588) + (8/14)/(-2). Factor -d*g**2 + g - 1.
-(g - 2)**2/4
Factor -24 + 23*j - 3*j**4 - 15*j**2 + 21*j**3 - 39*j**2 + 37*j.
-3*(j - 2)**3*(j - 1)
Let g = -1 + 1. Let n = -2 - -9/4. Factor -1/4*w + 1/2*w**3 + g + 0*w**2 + 0*w**4 - n*w**5.
-w*(w - 1)**2*(w + 1)**2/4
Let i(v) be the second derivative of 0 + 5/6*v**3 - 6*v + 1/2*v**2 + 2/3*v**4 + 1/5*v**5. Solve i(d) = 0 for d.
-1, -1/2
Let v(q) be the first derivative of 5*q**4/14 - 8*q**3/7 + 9*q**2/7 - 4*q/7 - 3. Factor v(h).
2*(h - 1)**2*(5*h - 2)/7
Let u = -817 - -819. Let m = -1631/5 + 329. Determine g so that -4/5 - m*g - 2*g**u = 0.
-1, -2/5
Let q(m) be the second derivative of m**4/18 - m**3/9 + 3*m - 2. Suppose q(z) = 0. Calculate z.
0, 1
Factor -156 - 5*p**2 - 2*p - 111 + 102*p - 233.
-5*(p - 10)**2
Let u(c) = 4*c**2 + 5*c + 4. Let p(a) = -4*a**2 - 6*a - 5. Let b(m) = -4*p(m) - 5*u(m). Factor b(w).
-w*(4*w + 1)
Factor -64/11*w**2 - 20/11*w**4 + 0 - 64/11*w**3 + 0*w - 2/11*w**5.
-2*w**2*(w + 2)*(w + 4)**2/11
Let k = 277 - 3875/14. Let l = k + 2/7. Let -l*d**2 - d + 0 = 0. What is d?
-2, 0
Let x(w) = -w. Let g(l) = l**2 + 5*l. Let p(b) = g(b) + 6*x(b). Suppose p(y) = 0. Calculate y.
0, 1
Let h(w) be the second derivative of -w**7/105 - w**6/30 + w**5/10 + w**4/3 - 4*w**3/3 - 9*w**2/2 + 11*w. Let g(j) be the first derivative of h(j). Factor g(a).
-2*(a - 1)**2*(a + 2)**2
Let i(o) = -o**3 + 5*o**2 - 6*o + 10. Let c be i(4). Factor -8/3*g + 5/3*g**c - 1/3*g**3 + 4/3.
-(g - 2)**2*(g - 1)/3
Let l(n) = n - 1. Let a(u) = 2*u**3 - 2*u - 6. Let w(g) = -11*g**3 - g**2 + 11*g + 35. Let b(c) = -34*a(c) - 6*w(c). Let y(m) = -b(m) + 6*l(m). Factor y(v).
2*v*(v - 2)*(v - 1)
Let n(f) = f**3 + 3*f**2 + 5*f + 8. Let t be n(-2). Factor -2/7*y - 2/7*y**t + 0.
-2*y*(y + 1)/7
Suppose 2*f + 7 = 5*i, 5 + 3 = 2*f. Suppose 4*o = -5*x - 4, -i*x - x - 20 = -o. Factor 6*y**3 - 2 + 2 - o - 4*y + 2*y**2 - 2*y + 2*y**4.
2*(y - 1)*(y + 1)**2*(y + 2)
Let n(q) be the first derivative of 1/16*q**4 + 1/24*q**6 - 2 + 0*q**3 - 1/10*q**5 + 0*q**2 + 0*q. Factor n(k).
k**3*(k - 1)**2/4
Suppose 0 = 49*h - 52*h + 6. Let q(y) be the first derivative of 0*y + 2*y**2 + 2 + 2/5*y**5 - h*y**3 + 0*y**4. Factor q(w).
2*w*(w - 1)**2*(w + 2)
Let o(t) = -t**4 + 11*t**3 + 19*t**2 + 21*t + 9. Let v(f) = -f**4 + 5*f**3 + 9*f**2 + 11*f + 5. Let w(g) = -6*o(g) + 10*v(g). Solve w(s) = 0 for s.
-1
Let d(j) be the second derivative of -j**7/105 + j**6/15 - 9*j**5/50 + 7*j**4/30 - 2*j**3/15 - 15*j. Solve d(u) = 0.
0, 1, 2
Let a(q) be the first derivative of -3 + q**4 + 0*q - 1/3*q**3 + 0*q**2. Let a(z) = 0. Calculate z.
0, 1/4
Let b(j) be the third derivative of j**7/42 - j**6/12 - j**5/4 - 15*j**2. Solve b(d) = 0 for d.
-1, 0, 3
Find d, given that 0*d**3 + 2/9*d**5 + 4/9*d**2 - 4/9*d**4 + 0 - 2/9*d = 0.
-1, 0, 1
Suppose 3*f - 3*o - 27 = 0, 5 = -0*o - 5*o. Factor -6*b**2 + 2*b**3 + f*b - 2*b - 2 + 0.
2*(b - 1)**3
Factor -2/3*n**4 + 0 + 2/3*n**2 + 2/3*n**3 + 0*n - 2/3*n**5.
-2*n**2*(n - 1)*(n + 1)**2/3
Let g = -19 + 21. Let 1/2*v + 1/2*v**g - 1 = 0. What is v?
-2, 1
Let c(x) be the second derivative of -x**6/15 + 3*x**5/5 - 3*x**4/2 + 4*x**3/3 - 3*x - 4. What is r in c(r) = 0?
0, 1, 4
Let y be 2*((-38)/840)/(-19). Let l(z) be the third derivative of -1/210*z**6 + 0*z**4 + 0 - y*z**5 - 1/735*z**7 + 0*z**3 + 0*z - 3*z**2. Solve l(k) = 0.
-1, 0
Solve 2/5*r + 3/5 - 1/5*r**2 = 0.
-1, 3
Let f(q) be the first derivative of 0*q - 1 + 1/20*q**5 + 0*q**2 + 0*q**3 - 1/24*q**6 + 0*q**4. Determine z so that f(z) = 0.
0, 1
Let o be (-12)/(-12) + (-3)/(18/4). Determine j, given that -1/3 + 4/3*j**3 + 2/3*j