8*f**2 + 0*f + 1/12*f**3. Factor y(b).
b*(b + 1)/4
Let v(u) be the first derivative of -u**4 + 242*u**3/3 - 1860*u**2 + 1800*u - 120. Factor v(z).
-2*(z - 30)**2*(2*z - 1)
Let n(y) be the third derivative of -2*y**7/945 - y**6/90 - y**5/45 - y**4/54 - 35*y**2. Determine c, given that n(c) = 0.
-1, 0
Suppose -2*g - 2*z = 156, 2*z + 3 = -z. Let d = g + 150. Factor -2*y**4 + 2*y**2 - y**3 + y**5 - 73*y + d*y.
y**2*(y - 2)*(y - 1)*(y + 1)
Determine t so that 93*t**2 + 17787/5 + 3/5*t**3 + 18249/5*t = 0.
-77, -1
Let i(k) be the first derivative of 3*k**5/5 - 3*k**4/4 + 19. Solve i(s) = 0.
0, 1
Let k = 75 - 75. Let u(j) be the third derivative of 1/150*j**5 + 1/840*j**8 + k*j**3 + j**2 + 0 + 1/100*j**6 + 1/175*j**7 + 0*j + 0*j**4. Factor u(q).
2*q**2*(q + 1)**3/5
Factor 4/9 - 4/9*u**2 + 2/9*u**3 - 2/9*u.
2*(u - 2)*(u - 1)*(u + 1)/9
Let q(z) be the third derivative of -z**6/60 + 14*z**5/15 - 25*z**4/12 - 18*z**3 - 155*z**2. Factor q(f).
-2*(f - 27)*(f - 2)*(f + 1)
Suppose -r + 1 = 0, 2*r - 12 = -5*v - 0*r. Factor 96 - 4*l**3 - 5*l**v - 96 - 2*l - l**2.
-2*l*(l + 1)*(2*l + 1)
Let c = 6968/9 + -774. Factor -c*m**5 - 2/9 - 4/9*m**3 + 2/3*m + 2/3*m**4 - 4/9*m**2.
-2*(m - 1)**4*(m + 1)/9
Let o(l) be the third derivative of l**5/300 - 11*l**4/60 + 2*l**2 + 64. Factor o(a).
a*(a - 22)/5
Let u(d) = -2*d + 6. Let j be u(-2). Find c such that -2 - j*c - c**2 - 13*c + 26*c = 0.
1, 2
Let i(l) be the second derivative of 3/40*l**5 + 0 - 4*l + 0*l**2 - 5/8*l**4 + l**3. Suppose i(d) = 0. What is d?
0, 1, 4
Let z = -667 + 13343/20. Let p(s) be the second derivative of 3*s - z*s**5 - 3/4*s**4 + 0*s**2 - s**3 + 0. Determine v, given that p(v) = 0.
-2, -1, 0
Find i, given that -4*i**2 - 356*i - 267*i - 596*i + 363*i - 45796 = 0.
-107
Let a(j) be the third derivative of 25*j**8/336 + 16*j**7/21 + 67*j**6/24 + 13*j**5/3 + 5*j**4/2 + 154*j**2. Suppose a(g) = 0. Calculate g.
-3, -2, -1, -2/5, 0
Let t be (12/(-10))/(4/(-20)). Let o = -1 + t. Factor 0 + 1/2*p**3 + 1/4*p**4 + 0*p + 0*p**2 - 1/4*p**o.
-p**3*(p - 2)*(p + 1)/4
Let z(d) = 16*d**4 - 13*d**3 + 33*d**2 - 13*d + 3. Let s(c) = -7*c**4 + 6*c**3 - 16*c**2 + 6*c - 1. Let u(i) = -13*s(i) - 6*z(i). Factor u(k).
-5*(k - 1)**2*(k + 1)**2
Let w(k) = 10*k**4 + 10*k**3 + 22*k**2 - 18*k - 78. Let g(y) = -8*y**4 - 9*y**3 - 22*y**2 + 19*y + 77. Let o(p) = -6*g(p) - 5*w(p). Factor o(t).
-2*(t - 3)**2*(t + 2)**2
Let j(s) be the second derivative of s**4/3 - 14*s**3/3 + 20*s**2 + s + 29. Find k, given that j(k) = 0.
2, 5
Let d(k) be the third derivative of -k**8/672 - 5*k**7/84 - 63*k**6/80 - 407*k**5/120 - 121*k**4/24 + 128*k**2. Let d(s) = 0. What is s?
-11, -2, -1, 0
Suppose 0 = -4*k + 3*d + 23, d + 1 + 0 = 0. Let q**k - 189*q**4 - q**5 + 187*q**4 + q**5 = 0. What is q?
0, 2
Determine t so that -610*t + 1910*t**2 - 400 - 1125*t**2 - 1031*t**2 - 38*t**3 - 2*t**4 = 0.
-8, -5, -1
Let c(f) = -735*f**2 + 120*f - 4. Let w(r) = -734*r**2 + 118*r - 4. Let m(b) = -5*c(b) + 6*w(b). Factor m(u).
-(27*u - 2)**2
Let b(i) = -2*i**2. Suppose 0 - 2 = -f. Let s(q) = -q**3 + 5*q**2. Let o(r) = f*s(r) + 5*b(r). Solve o(w) = 0.
0
Factor -p - 4*p + 2*p**2 - 4*p - 3*p.
2*p*(p - 6)
Let o(f) be the third derivative of -f**6/30 - 8*f**5/15 - 7*f**4/6 - 11*f**2 - 3. Factor o(z).
-4*z*(z + 1)*(z + 7)
Let j(w) = -4*w**2 - 5*w. Let z(x) = 20*x**2 + 24*x. Let s(g) = 14*j(g) + 3*z(g). Determine d, given that s(d) = 0.
-1/2, 0
Let v be -2*-2*(-4)/16. Let r be v/(28/8 - (2 - -2)). Find g such that -4/7*g**4 + 8/7*g**r - 4/7 - 10/7*g + 20/7*g**3 - 10/7*g**5 = 0.
-1, -2/5, 1
Let b(q) be the second derivative of -q**5/35 + 8*q**4/21 - 8*q**3/7 + 10*q - 11. Solve b(u) = 0.
0, 2, 6
Let z(a) be the second derivative of -5*a**4/12 + 25*a**3/6 - 15*a**2 - 101*a. Suppose z(p) = 0. What is p?
2, 3
Let v(b) = -5*b**2 - 313*b + 1478. Let o be v(-67). Let f be (5/(-2))/(2/(-4)). Find w such that -w**2 - w**3 + 0*w + 0 - 21/4*w**f + 29/4*w**o = 0.
-2/7, 0, 2/3, 1
Suppose 12*x - 2*x + 17*x = 0. Let r(k) be the first derivative of 0*k**4 + 0*k**2 - 7 + x*k - 1/2*k**6 + 0*k**3 + 6/5*k**5. Factor r(p).
-3*p**4*(p - 2)
Suppose 35376*g - 671*g**3 + 8*g**4 + 17956 - 4*g**4 + 145*g**3 + 16888*g**2 - 2*g**3 = 0. Calculate g.
-1, 67
Let r(f) = -f**3 + f. Let z(k) = -10*k**3 + 12*k + 2. Let m be (-1)/3 + 186/18. Let h be (-56)/70*m/4. Let t(l) = h*z(l) + 18*r(l). Suppose t(c) = 0. What is c?
-1, 2
Let -3*r**4 + 50*r + 5*r**4 + 80*r**2 - 18*r**3 - 50*r**2 = 0. What is r?
-1, 0, 5
Let p(o) be the third derivative of -o**8/2352 - o**7/735 + 19*o**6/840 - o**5/15 + o**4/14 - 49*o**2 + 2*o. Suppose p(j) = 0. What is j?
-6, 0, 1, 2
Let z(b) = 6*b**2 + 27*b - 13. Let w be z(-5). Factor 0*i**w - 3/2*i**4 - 3/2*i**3 + 0*i + 0.
-3*i**3*(i + 1)/2
Let v = 3 + 1. Suppose -v*u = -6 - 2. Suppose 5 + 33*h**u - 24*h**4 + 21*h**3 - 9*h**5 + 21*h**5 + 1 - 15*h**4 - 33*h = 0. What is h?
-1, 1/4, 1, 2
Let m(t) be the first derivative of t**4/15 + 4*t**3/15 + 2*t**2/5 - 16*t + 8. Let u(z) be the first derivative of m(z). Factor u(p).
4*(p + 1)**2/5
Let p(o) = -2*o**2 - 13*o - 12. Let y be p(-5). Let w = 1701 + -8501/5. Suppose -8/5*d**2 - 4/5*d + w*d**y + 6/5 + 2/5*d**4 = 0. What is d?
-3, -1, 1
Let b(q) be the first derivative of 0*q + 0*q**2 - 1/7*q**4 + 2/35*q**5 + 0*q**3 + 4. Suppose b(d) = 0. What is d?
0, 2
Let h(v) = -2*v**3 + v**2 + 6*v + 7. Let t be h(-3). Let c be (12/t)/(3/(-4)*-2). Factor 0*q + 0*q**2 + 8/13*q**4 + 0 + c*q**3.
2*q**3*(4*q + 1)/13
Suppose -42*l + 20 = -32*l. Let u(k) be the second derivative of 0 + 10*k - 4/5*k**5 + l*k**4 - 8/3*k**3 + 2/15*k**6 + 2*k**2. Find b, given that u(b) = 0.
1
Let s be 63/49 - (1 + -1). Let r = 3208/693 - 34/99. Suppose -r*u - s*u**2 - 9/7 = 0. Calculate u.
-3, -1/3
Let p(f) = -f**2 + 11*f + 14. Let x be p(12). Let d be 9 + -3 - 6/x. Factor 3*y**4 - 2*y**3 - 4*y**5 + 5*y**3 - 21*y + d*y**3 - 9 - 10*y**2 + 3*y**5.
-(y - 3)**2*(y + 1)**3
Let z(r) be the third derivative of r**5/10 + 13*r**4/24 + 7*r**3/6 + r**2 - 30*r. Factor z(v).
(v + 1)*(6*v + 7)
Let m(n) = -3*n**3 - n**2 + 1. Let u(t) = 52*t**3 - 20*t**2 + 102*t - 17. Let d(r) = -68*m(r) - 4*u(r). Factor d(k).
-4*k*(k - 34)*(k - 3)
Let y(t) be the first derivative of t**3 + 0*t**2 + 0*t**4 - 3/5*t**5 - 12 + 0*t. Factor y(j).
-3*j**2*(j - 1)*(j + 1)
Let g(k) be the first derivative of -k**4/18 - 8*k**3/3 + 13*k**2/3 + 148*k/9 - 566. Let g(c) = 0. Calculate c.
-37, -1, 2
Let c = -14/51 + 16/17. Let b(t) be the first derivative of 0*t + c*t**2 + 4/3*t**3 + 5/12*t**4 + 2. Factor b(r).
r*(r + 2)*(5*r + 2)/3
Factor 2/13*w**2 + 24/13 - 2*w.
2*(w - 12)*(w - 1)/13
Let v be 1/(-1 + (-9)/(-6)). Let c be -1*(-4*1)/v. Factor -11 - 2*m**4 - 6*m**3 + 2*m**2 - 2*m + 6*m + c*m**5 + 11.
2*m*(m - 2)*(m - 1)*(m + 1)**2
Let a(m) = m**2 + 16*m + 11. Let j be a(-17). Let w = -24 + j. Determine h so that -2*h + h - 5*h - 4*h**2 - 2*h - w = 0.
-1
Let f(t) = 1 - 2*t**2 + 3*t**2 - 25*t + 26*t. Let j(n) = 227*n**2 - 138*n + 22. Let i(k) = 2*f(k) - j(k). Determine p, given that i(p) = 0.
2/9, 2/5
Let u = 3497/4 - 4223/4. Let c = u - -189. Factor -3/2*l**4 + 0 - 12*l**2 + 6*l + c*l**3.
-3*l*(l - 2)**2*(l - 1)/2
Suppose 8*o = o + 56. Determine c, given that 0*c**4 + 4*c**2 + 32*c - 2*c**4 + o*c**4 - 10 - 32*c**3 = 0.
-1, 1/3, 1, 5
Let x be (4 + -5)/(2/(-8)). Let r(b) = -b**3 + 2*b**3 - x + 5. Let z(c) = -c**3 + 9*c**2 + 27*c + 25. Let h(w) = -2*r(w) - z(w). Solve h(l) = 0 for l.
-3
Solve 0 + 3/2*t**2 + 3/4*t + 3/4*t**3 = 0.
-1, 0
Let m(g) be the third derivative of 0*g + 0*g**3 - 8*g**2 + 0 - 1/40*g**6 - 1/6*g**4 - 1/5*g**5 + 1/42*g**7. Factor m(q).
q*(q - 2)*(q + 1)*(5*q + 2)
Let z(a) = -81*a + 6. Let d(x) = 3*x - 20. Let n be d(6). Let g be z(n). Find i, given that 176*i + 28*i**2 - 13*i**3 - 3*i**3 - g*i = 0.
-1/4, 0, 2
Let d(v) be the first derivative of 33/7*v**3 + 27 - 45/14*v**2 + 27/35*v**5 + 6/7*v - 87/28*v**4. Factor d(w).
3*(w - 1)**3*(9*w - 2)/7
Let m(r) be the third derivative of -r**5/12 + 195*r**4/4 - 22815*r**3/2 - 148*r**2. Let m(g) = 0. What is g?
117
Solve 59*d**2 - 1215*d + 117*d**2 + 3870*d**3 - 176*d**4 - 3131*d + 474*d + 2*d**5 = 0.
-1, 0, 1, 44
Let f(s) be the second derivative of -2*s**6/135 + 7*s**5/15 - 20*s**4/27 + s + 98. Suppose f(a) = 0. Calculate a.
0, 1, 20
Let -111*l**3 + 2*l**4 + 540*l**2 - 195*