or 54*h - 14*h**4 + 5*h**3 - 2*h**5 + 3*h**3 - 54 + 4*h**3 + 36*h**l - 32*h**3.
-2*(h - 1)**2*(h + 3)**3
Let m(d) = -3*d**3 + 180*d**2 - 552*d - 700. Let p(b) = 2*b**3 - 90*b**2 + 273*b + 350. Let t(c) = 3*m(c) + 7*p(c). Factor t(r).
5*(r - 14)*(r - 5)*(r + 1)
Let p(r) = -r**2 - r + 1. Let l(q) = 17*q**2 + 23*q - 8. Let v(s) = 18*s**2 + 24*s - 8. Let u(w) = -6*l(w) + 5*v(w). Let g(i) = 28*p(i) - 2*u(i). Factor g(a).
-4*(a - 3)*(a + 1)
Let t(i) be the second derivative of i**6/5 - i**5/5 - i**4/6 + 3*i - 31. Factor t(l).
2*l**2*(l - 1)*(3*l + 1)
Let w(f) = f**3 + 5. Let o be w(0). Let c(n) be the second derivative of 0 - 1/39*n**4 + 0*n**2 + 1/39*n**3 + 1/130*n**o + 7*n. Factor c(p).
2*p*(p - 1)**2/13
Let b be (10/25)/((-7 - -5)*6/(-15)). Let 0 + 8*k**2 + b*k**3 + 32*k = 0. What is k?
-8, 0
Let n = 1810 - 1808. Factor -16/9*b**n + 2/3*b**3 + 14/9*b - 4/9.
2*(b - 1)**2*(3*b - 2)/9
Let d(n) = -n**3 - 46*n**2 + 45*n - 90. Let j be d(-47). Let m = 3 + -1. Suppose 1/4 + 1/4*k**j + 0*k - 1/2*k**m + 0*k**3 = 0. Calculate k.
-1, 1
Let z(s) = -5*s - 1. Let n be z(-2). Let f be (24/n + -3)*-6. Let -1/2*j + 5/4*j**f + 0 = 0. Calculate j.
0, 2/5
Suppose -3*w = 9, 2*l - 6 = -2*l - 2*w. Suppose -l*i - 29 + 29 = 0. Factor 0 - 2/5*g**3 + i*g + 0*g**2.
-2*g**3/5
Let o be 8/(-14) + (-52)/(-42). Let k(x) be the first derivative of 7/2*x**2 + o*x**3 + 3*x - 5. Factor k(t).
(t + 3)*(2*t + 1)
Let d(l) = 7*l**2 + 308*l. Let m be d(-44). Find o, given that m + 4/9*o**3 + 8/9*o**2 - 4/3*o = 0.
-3, 0, 1
Let h(k) be the second derivative of k**5/140 - k**3/14 - 11*k**2/2 - 9*k. Let u(a) be the first derivative of h(a). Factor u(b).
3*(b - 1)*(b + 1)/7
Let a(g) = g - 9. Let s be a(4). Let o(t) = 7*t**4 - t**3 - t**2 + 5*t. Let r(q) = 3*q**4 - q**3 + 2*q. Let f(b) = s*r(b) + 2*o(b). What is v in f(v) = 0?
0, 1, 2
Find f such that -10 - 2*f**2 + 90*f - 13*f - 76*f + 87*f + 100 = 0.
-1, 45
Let d(f) = 7*f**3 - 10*f**2 + 27*f. Let w(a) = -a**3 - 2*a. Let s(q) = -5*d(q) - 40*w(q). Factor s(b).
5*b*(b - 1)*(b + 11)
Suppose 10 = 5*q - 3*q. Suppose -q*d + 6 = -3*d. Solve -6*o - 6*o**4 + 3*o**d + 9*o**2 + 3*o - 3 + o - o = 0 for o.
-1, -1/2, 1
Let c be -24 + 22 - (0 + (-52)/10). Let h = c + -14/5. Find f such that 0 + 2/5*f**2 + 6/5*f**4 - h*f + 2*f**3 = 0.
-1, 0, 1/3
Let l(u) be the first derivative of 3*u**4/16 - u**3/4 - 9*u**2/4 - 14. Solve l(c) = 0.
-2, 0, 3
Factor 0*t**2 - 16/9*t**4 + 0 + 0*t - 4/9*t**3.
-4*t**3*(4*t + 1)/9
Let r(k) be the third derivative of k**8/588 + 31*k**7/1470 + 11*k**6/210 + 11*k**5/420 - k**4/28 - 3*k**2 - 5. Determine z so that r(z) = 0.
-6, -1, 0, 1/4
Let g = 121 - 120. Let s be -5 - g*(-10)/2. Factor -2/5*f**4 + 0*f**2 + 0 + 4/5*f**3 + s*f.
-2*f**3*(f - 2)/5
Let g(l) = l. Let b = -35 - -34. Let s(m) = 50*m**4 + 40*m**3 + 8*m**2 - 6*m. Let p(v) = b*s(v) - 6*g(v). Factor p(a).
-2*a**2*(5*a + 2)**2
Find u such that 0*u + 2/7*u**2 + 2/7*u**3 + 0 = 0.
-1, 0
Let x = -28 + 20. Let n(o) = o**3 + 7*o**2 - 8*o + 2. Let s be n(x). Factor -2*l**2 - l**2 + 7*l**s.
4*l**2
Let t(i) = 36*i - 174. Let f be t(5). Let w(g) be the first derivative of 0*g - 21/20*g**5 + 7/4*g**3 + 9/16*g**4 + 3/4*g**2 - 5/8*g**f - 8. Solve w(c) = 0.
-1, -2/5, 0, 1
Let i(j) = -j**3 - 2*j**2 - j + 13. Let s be i(0). Suppose 0 = -b - 6 + s. Factor 4 + b*v + 5*v**2 + 5 - 7.
(v + 1)*(5*v + 2)
Suppose 2 = -2*v + 5*n, 4*v + 0*v - n - 14 = 0. Suppose 30 = y - 4*f, -2*f - 50 = y - v*y. Factor -15*o**3 - o**2 + 5*o + 3 + 2*o**2 + y*o**3.
-(o - 3)*(o + 1)**2
Let x(o) be the first derivative of o**9/3024 - o**8/280 + 13*o**7/840 - o**6/30 + o**5/30 + 3*o**3 - 5. Let t(k) be the third derivative of x(k). Factor t(i).
i*(i - 2)**2*(i - 1)**2
Factor 2/7*y**3 - 2/7*y**2 - 12/7*y + 0.
2*y*(y - 3)*(y + 2)/7
Let p(q) be the first derivative of -q**6/51 + 3*q**4/17 - 16*q**3/51 + 3*q**2/17 + 140. Suppose p(t) = 0. Calculate t.
-3, 0, 1
Suppose 81*r - 110 = 52. Factor 0*d + 0 - 3/4*d**r.
-3*d**2/4
Let p(v) be the third derivative of -v**6/40 + 57*v**5/10 - 1083*v**4/2 + 27436*v**3 + 38*v**2 + 1. Suppose p(u) = 0. Calculate u.
38
Let r(z) be the third derivative of z**8/546 - z**7/65 + 41*z**6/780 - 37*z**5/390 + 5*z**4/52 - 2*z**3/39 + 2*z**2 + 51. Find l such that r(l) = 0.
1/4, 1, 2
Let r be 14 - 12 - (-2 - 14/(-5)). Factor 3/5*o - 3/5*o**2 + r.
-3*(o - 2)*(o + 1)/5
Let r be 351/12 - 15/(-20). Let c be (24/(-20))/((-9)/r). Factor 2*l**c - 4*l**4 + 6*l**3 + 5*l**2 - 2*l**5 + 5*l**2 + 4*l.
-2*l*(l - 2)*(l + 1)**3
Let r = 4 - 4. Let u = 121/175 - 16/175. Determine f so that -u*f - 3/5*f**2 + r = 0.
-1, 0
Determine b so that 6*b**2 - 55*b - 66*b + 44*b - 7*b**2 + 78 = 0.
-78, 1
Let n(b) = -3*b**5 + 23*b**4 - 5*b**3 - 14*b**2. Let g(a) = a**4. Let k(d) = g(d) - n(d). Factor k(y).
y**2*(y - 7)*(y - 1)*(3*y + 2)
Let c(m) = -21*m**3 + 171*m**2 - 168*m. Let g(a) = -5*a**3 + 43*a**2 - 42*a. Let x(h) = 2*c(h) - 9*g(h). Factor x(d).
3*d*(d - 14)*(d - 1)
Let l be 6/3 + 42/(-20)*1. Let v = 2/5 - l. Let -v*x**2 - 8 - 4*x = 0. Calculate x.
-4
Let t = 6079 + -6075. Suppose 10/13*p**2 - 4/13*p - 6/13*p**3 + 0 - 2/13*p**t + 2/13*p**5 = 0. What is p?
-2, 0, 1
Let 2 + 1/2*p**5 - p**3 + 1/2*p + 2*p**4 - 4*p**2 = 0. What is p?
-4, -1, 1
Let b(s) be the second derivative of 2*s**6/15 - 2*s**5/5 - s**4/3 + 4*s**3/3 + 22*s. Suppose b(i) = 0. Calculate i.
-1, 0, 1, 2
Let q(t) be the second derivative of 1/8*t**4 - 3/40*t**5 + 0*t**2 - 5 + 0*t**3 + 3*t. Let q(m) = 0. Calculate m.
0, 1
Factor 0 - 2/3*n**2 + 4/3*n - 2/3*n**3.
-2*n*(n - 1)*(n + 2)/3
Suppose -14*u - 6*u = -40. Let b(g) be the third derivative of -1/15*g**3 + 0*g + 0 - 1/300*g**5 + 2*g**u + 1/40*g**4. What is t in b(t) = 0?
1, 2
Let j(v) be the first derivative of 5/16*v**4 + 17 - 1/4*v**2 + 0*v - 1/4*v**3. Factor j(w).
w*(w - 1)*(5*w + 2)/4
Let -5*u**4 - 70*u**3 - 118*u**2 - 182*u**2 - 26 - 250*u + 651 = 0. What is u?
-5, 1
Let z(w) = w - 7. Let l be z(10). Let s(y) be the third derivative of 0*y**5 - 1/84*y**4 + 0*y**l - 8*y**2 + 0 + 1/420*y**6 + 0*y. What is x in s(x) = 0?
-1, 0, 1
Let d(k) = -15*k**3 + 40*k**2 - 110*k + 65. Let u(h) = 8*h**3 - 18*h**2 + 55*h - 33. Let g(r) = 3*d(r) + 5*u(r). Suppose g(a) = 0. What is a?
1, 2, 3
Let g(j) be the second derivative of j**7/504 - j**6/12 + 3*j**5/2 - j**4/12 - 11*j. Let x(m) be the third derivative of g(m). Determine a, given that x(a) = 0.
6
Let a be (-24)/(-20)*10/6. Factor -2*l**a + 6*l**2 - l - 3*l**2 - 3*l**2 - l**3.
-l*(l + 1)**2
Let p = -33 - -33. Suppose 4*l = -p - 16, 4*m - 5*l - 20 = 0. Suppose m - 6/7*i**4 - 4/7*i**5 + 0*i + 0*i**2 - 2/7*i**3 = 0. What is i?
-1, -1/2, 0
Suppose -5*z + x = -8, 15*z - 3*x + 16 = 20*z. Solve -3/4*n**z + 0 - 3/4*n = 0 for n.
-1, 0
Factor 3/2*h**4 + 1/2*h**5 + 0*h + 0 - 3/2*h**2 - 1/2*h**3.
h**2*(h - 1)*(h + 1)*(h + 3)/2
Let o(i) = -i**3 - 13*i**2 + 16*i + 33. Let b be o(-14). Suppose b*j - 70 = -0. What is t in 14 - j - 8*t**2 - 2*t = 0?
-1/4, 0
Let a(c) be the third derivative of c**9/7560 - c**8/1680 - c**7/420 - 5*c**4/8 - 23*c**2. Let q(u) be the second derivative of a(u). Factor q(v).
2*v**2*(v - 3)*(v + 1)
Let h(x) = x**4 + 9*x**3 - 3*x**2 - 3*x. Let w(s) = s**2 + s. Let p(d) = -2*h(d) - 6*w(d). Factor p(a).
-2*a**3*(a + 9)
What is v in 5*v + 145*v**2 - 145 - 20*v**3 - 17*v**3 - 25*v**3 + 57*v**3 = 0?
-1, 1, 29
Let s be 1/(-4 + (-11)/(-3)). Let w be 22/(-231)*-2*s/(-4). Factor w*b**2 + 1/7 + 2/7*b.
(b + 1)**2/7
Let d(b) = b**4 - 6*b**3 - 2*b**2 + 5. Let i(m) = 2*m**3 - m**2 + m - 1. Let o(g) = -d(g) - 2*i(g). Factor o(f).
-(f - 3)*(f - 1)*(f + 1)**2
Let d(m) be the third derivative of -m**5/180 - 11*m**4/18 + 5*m**3/2 + 650*m**2. Find l, given that d(l) = 0.
-45, 1
Let w be 13 - 13 - (-75)/25. Solve 16/3*b - 8/3 + 2/3*b**w - 10/3*b**2 = 0 for b.
1, 2
Let n be 1/(8/28 + 2/42). Let p(l) be the second derivative of 0*l**n + 1/30*l**4 + 0 - 6*l + 0*l**2. Factor p(m).
2*m**2/5
Let f(j) be the first derivative of 1/7*j**4 - 1/7*j**2 + 6/7*j - 1/21*j**6 - 4/7*j**3 + 1 + 6/35*j**5. Determine i so that f(i) = 0.
-1, 1, 3
Factor -8/9*g + 8/9*g**3 + 2/9 - 2/9*g**2.
2*(g - 1)*(g + 1)*(4*g - 1)/9
Let y(l) = -10*l**5 - l**4 + l**2 + 10*l - 7. Let x(z) = 26*z**5 - 57*z**5 - 2 + 28*z**5 + 3*z. Let s(j) = 14*x(j) - 4*y(j). What is q in s(q) = 0?
-1, 0, 1
Factor 0 - 78/5*r - 3/5*r**2.
-3