-4*p**2 - 19*p + 2. Suppose 0 = 9*j - 4*j - 10. Let k = 16 - j. Let i(b) = -b**2 - 6*b + 1. Let h(y) = k*i(y) - 4*z(y). Factor h(f).
2*(f - 3)*(f - 1)
Let s(x) = -7*x - 32. Let f be s(-6). Factor -453*c - 5*c**4 - 5*c**2 - f*c**3 + 453*c.
-5*c**2*(c + 1)**2
Suppose -3*q = -25*q. Let v(l) be the third derivative of -2/3*l**4 - 2/3*l**5 + q*l - l**2 + 16/3*l**3 + 8/105*l**7 + 1/84*l**8 + 1/30*l**6 + 0. Factor v(r).
4*(r - 1)**2*(r + 2)**3
Let f(h) = -h**2 + 11*h - 7. Let z be f(9). Find d, given that -2*d + z*d - 4*d**2 - 5*d + 8 = 0.
-1, 2
Factor 43 + 0*j**2 - 13 - 49*j + 44*j - 50*j**2 - 15*j**3.
-5*(j + 1)*(j + 3)*(3*j - 2)
Let n(k) be the second derivative of k**7/420 - 49*k**6/540 + 52*k**5/45 - 16*k**4/9 + 17*k**3/6 - 35*k. Let r(m) be the second derivative of n(m). Factor r(h).
2*(h - 8)**2*(3*h - 1)/3
Let v be (-46 - -54) + 5/(-1). Let a(r) be the third derivative of 0*r**v + 0 + 0*r - 3*r**2 - 1/270*r**5 + 0*r**4. Factor a(g).
-2*g**2/9
Let k be ((-2)/(-3))/((-2)/(-9)). Suppose 0 = -6*h + h + 95. Factor 39*u**2 + 6*u + 27*u**4 - h*u**3 + 79*u**k - 3 + 3.
3*u*(u + 1)**2*(9*u + 2)
Let c = 1205 - 4813/4. Factor -15/4*o - 15/2*o**4 - 1/2 - 10*o**2 - 25/2*o**3 - c*o**5.
-(o + 1)**4*(7*o + 2)/4
Factor -2/3*x**2 + 4/3*x + 70/3.
-2*(x - 7)*(x + 5)/3
Solve 1/4*q**2 + 27/2*q + 729/4 = 0.
-27
Let z be ((-36)/(-48))/((-4)/(-16)). What is y in 5*y**2 + 0 + 25/2*y**z - 15/2*y = 0?
-1, 0, 3/5
Let c(n) be the third derivative of -n**8/336 + 3*n**7/70 - 5*n**6/24 + 9*n**5/20 - 5*n**4/12 - 78*n**2. Let c(v) = 0. What is v?
0, 1, 2, 5
Suppose 12 = 4*f - 4*l, 2 = 3*f - 2*l + 6*l. Factor -3 + 5*i**3 + 5*i**f - 2 + 33*i - 66*i + 28*i.
5*(i - 1)*(i + 1)**2
Let p = -663 - -1010. Factor 922 + 4320 + 3051 + 5*y**3 + 2160*y + p + 180*y**2.
5*(y + 12)**3
Let h(q) be the third derivative of -1/42*q**4 - 3*q**2 + 0*q**5 + 0 + 0*q**3 + 0*q + 1/210*q**6. Find t, given that h(t) = 0.
-1, 0, 1
Let a(i) be the third derivative of -i**5/15 + 2*i**4 + 26*i**3/3 - 302*i**2. Factor a(g).
-4*(g - 13)*(g + 1)
Let f(q) be the second derivative of q**8/4200 - q**6/900 - q**3/3 - 9*q. Let d(t) be the second derivative of f(t). Factor d(o).
2*o**2*(o - 1)*(o + 1)/5
Let m(b) be the first derivative of -b**5/120 + b**4/12 - b**3/3 + 17*b**2/2 + 15. Let j(c) be the second derivative of m(c). Factor j(h).
-(h - 2)**2/2
Let a = 495 - 495. Let v(o) be the third derivative of 0 + 1/16*o**4 + 1/8*o**3 + a*o + 1/80*o**5 - 3*o**2. Find t such that v(t) = 0.
-1
Let s(n) be the second derivative of n**6/2160 + n**5/720 - n**4/24 - 19*n**3/6 + 10*n. Let q(f) be the second derivative of s(f). Determine z so that q(z) = 0.
-3, 2
Let i(k) = 3*k - 1. Let u be i(1). Suppose 26*r**2 - 34*r**u + 2 + 15*r**2 + 9*r = 0. What is r?
-1, -2/7
Factor 28/5*u**2 - 26/5*u + 0 - 2/5*u**3.
-2*u*(u - 13)*(u - 1)/5
Let h(m) = -21*m + 10. Let q be h(-3). Solve 0*p**2 - q*p**3 + 4 + 65*p**3 + 16*p**2 - 8*p**5 - 20*p**4 + 16*p = 0.
-1, -1/2, 1
Determine w so that -8*w + 24*w + 84 - 514*w**2 + 510*w**2 = 0.
-3, 7
Let k(v) = -v**2 - 11*v - 14. Let u be k(-7). Determine h, given that -4*h**2 - 31*h + u*h + 16*h + 4 + h**3 = 0.
-1, 1, 4
Let a(j) be the first derivative of 1/15*j**5 + 6*j - 8 + 0*j**3 + 0*j**2 + 0*j**4 + 1/45*j**6. Let t(k) be the first derivative of a(k). Factor t(b).
2*b**3*(b + 2)/3
Let s(d) be the first derivative of d**7/210 + d**6/90 - d**5/15 - 10*d**3/3 + 9. Let z(x) be the third derivative of s(x). Let z(a) = 0. Calculate a.
-2, 0, 1
Let h(v) = 11*v**3 + 43*v**2 + 104*v + 67. Let a(d) = 16*d**3 + 65*d**2 + 157*d + 101. Let n(x) = -5*a(x) + 7*h(x). Solve n(z) = 0 for z.
-4, -3, -1
Determine b so that -2/7*b**4 - 12/7*b + 4/7*b**3 + 10/7*b**2 + 0 = 0.
-2, 0, 1, 3
Let a = 3207 - 9620/3. Determine m, given that 0*m**2 - 2/3*m**3 + 2/3*m + 1/3*m**4 - a = 0.
-1, 1
Let w = 30 + -31. Let p(z) = 4*z**4 - 24*z**3 - 40*z**2 - 24*z + 8. Let k(l) = l**4 + l**2 + l + 1. Let r(n) = w*p(n) + 8*k(n). Factor r(o).
4*o*(o + 2)**3
Suppose 0 = -2*a - 2*a + 148. Suppose a = 4*d - 3. Find s such that 16*s + 0*s**2 + 0*s + 8 + 8*s + d*s**2 = 0.
-2, -2/5
Let i(g) be the second derivative of 5*g**5/4 + 35*g**4/12 - 5*g**3/6 - 15*g**2/2 - g - 46. Find m such that i(m) = 0.
-1, 3/5
Let p(l) be the second derivative of -l**4/42 - 16*l**3/21 + 17*l**2/7 + 9*l - 44. Solve p(s) = 0 for s.
-17, 1
Let w = 653 - 649. Let b be 2/(-4)*(-543 + 0). Determine l, given that -27 - 375/2*l**3 + 63/2*l**w + 63/2*l + b*l**2 = 0.
-1/3, 2/7, 3
Suppose -2*l - 20 = -7*l. Factor -8*h**5 + l*h**4 + 10*h**5 + 0*h**4.
2*h**4*(h + 2)
Let k(o) be the third derivative of o**8/84 - 4*o**7/21 + 5*o**6/6 - o**2 + 5*o. Let k(j) = 0. What is j?
0, 5
Find c such that -2/11*c**2 + 520/11*c - 33800/11 = 0.
130
Let p(n) be the second derivative of -n**5/80 + n**4/16 - n**3/8 + n**2/8 - 52*n. Factor p(s).
-(s - 1)**3/4
Suppose -2*n - g - 4*g = -26, -2 = -2*n + g. Find x, given that -845*x**3 + 848*x**n - 36*x**4 + 24*x**2 + 12*x + 12*x**2 - 15*x**5 = 0.
-2, -1, -2/5, 0, 1
Let z(s) be the first derivative of 5*s**5 + 165*s**4/4 - 70*s**3/3 - 86. Find p, given that z(p) = 0.
-7, 0, 2/5
Let s(x) = -46*x**4 + 407*x**3 - 1179*x**2 + 1326*x - 506. Let z(o) = 2*o**4 - o**3 + 1. Let v(a) = -s(a) + z(a). Factor v(l).
3*(l - 1)**2*(4*l - 13)**2
Let k be -23 + 2959*(-10)/(-1210). Factor -2/11*p**2 - 32/11 + k*p.
-2*(p - 4)**2/11
Let t(v) be the third derivative of -v**10/252000 + v**9/151200 + v**8/100800 + v**5/20 + 4*v**2. Let l(r) be the third derivative of t(r). Factor l(a).
-a**2*(a - 1)*(3*a + 1)/5
Suppose -4*j + 21 = 1. Suppose 3*x + j = 11. Solve -1/3*s - 4/3*s**x + 0 = 0.
-1/4, 0
Let w(x) be the first derivative of -3*x**3 - 102*x**2 - 132*x + 270. Let w(g) = 0. Calculate g.
-22, -2/3
What is f in 57/10*f**2 - 1/10*f**4 - 4/5*f**3 - 10*f + 26/5 = 0?
-13, 1, 2
Suppose -i = -11 + 6. Let v(c) be the first derivative of -3/2*c**2 + 3/4*c**4 + 7 + 3/5*c**i + 0*c - c**3. Factor v(d).
3*d*(d - 1)*(d + 1)**2
Suppose 0*l = y - 5*l - 9, 3*y - 5*l - 17 = 0. Let d(o) be the first derivative of 1 + 5/2*o**2 - y*o - 1/3*o**3. Suppose d(s) = 0. What is s?
1, 4
Let h(z) be the first derivative of -z**7/70 + z**6/20 - 15*z**2/2 + 11. Let g(n) be the second derivative of h(n). Factor g(l).
-3*l**3*(l - 2)
Let b be (8 + 0)*(-3)/(-6). Let s(p) be the second derivative of 5/18*p**3 + 0 - 1/12*p**b - 7*p - 1/3*p**2. Factor s(q).
-(q - 1)*(3*q - 2)/3
Let x(u) be the third derivative of 1/80*u**6 + 4*u**2 + 0*u**3 + 1/210*u**7 + 0*u - 1/672*u**8 - 1/30*u**5 - 1/12*u**4 + 0. Suppose x(i) = 0. What is i?
-1, 0, 2
Let v(a) be the first derivative of -3*a**4/4 + a**3 + 176. Factor v(d).
-3*d**2*(d - 1)
Factor -12/5 + 12/5*k**2 + 2/5*k - 2/5*k**3.
-2*(k - 6)*(k - 1)*(k + 1)/5
Let m be (0 + -9)*(-10 - -9). Suppose m*j - 4*j = 20, -4*c + 2*j + 12 = 0. Factor 7 - 1 + c*g**2 - 9*g - g**2 - g**2.
3*(g - 2)*(g - 1)
Factor 729/5 + 1/5*w**2 + 54/5*w.
(w + 27)**2/5
Let x be 35 + (-770)/28 - 7/1. Suppose -3/2*p**2 + p + 0 + x*p**3 = 0. What is p?
0, 1, 2
Find b, given that -1/2*b**4 + 3 - 11/2*b + 3/2*b**3 + 3/2*b**2 = 0.
-2, 1, 3
Suppose j - 15 = -5*k + 6*j, -2*j - 8 = -4*k. Factor -5*f**2 - 5 + 8*f + f**2 + k.
-4*(f - 1)**2
Let l be (-1363)/(-261) - (2 + (-16)/9). Suppose 5*j**4 - j**5 + 2*j**l + 3*j**3 + 4*j**4 + j**2 - 6*j**4 = 0. Calculate j.
-1, 0
Let n(h) be the first derivative of h**3 + 5/4*h**2 + 3/8*h**4 + 1/20*h**5 + 3/4*h - 46. Factor n(w).
(w + 1)**3*(w + 3)/4
Suppose -25*b + 96 = 23*b. Determine z so that -2/7*z**b - 8/7*z - 8/7 = 0.
-2
Let m be -5*6/4*(-24)/(-45). Let i be -5 + m + (-165)/(-18). Factor 1/6*n**5 + 0*n**3 + 1/3*n**4 - i*n - 1/3*n**2 + 0.
n*(n - 1)*(n + 1)**3/6
Let u(x) = 14*x**3 - 18*x**2 + 58*x - 22. Let p(v) = -2*v**3 - v**2 - 1. Let f(z) = 8*p(z) + u(z). Factor f(j).
-2*(j - 1)**2*(j + 15)
Factor -8 - 26*u**3 - 22*u**3 + 70*u**3 + 12*u**2 - 26*u**3 - 4*u**4 + 4*u.
-4*(u - 1)**2*(u + 1)*(u + 2)
Suppose 4*n + 5 + 5 = l, -3*n + 9 = 2*l. Suppose 0*i = 3*i - l. Factor -5*c + 0*c - i*c**5 + 3*c - 12*c**3 + 8*c**4 + 8*c**2.
-2*c*(c - 1)**4
Find u such that 3/2*u**3 - 15/2*u**2 - 21/2 - 39/2*u = 0.
-1, 7
Let u(x) be the first derivative of 1/3*x**4 - 2/3*x**2 - 21 + 0*x**3 - 2/15*x**5 + 2/3*x. Factor u(i).
-2*(i - 1)**3*(i + 1)/3
Determine h so that 0 - 16*h**2 + 96/7*h