*7/42 - 7*p**6/12 + 31*p**5/12 - 10*p**4/3 - 565*p**2. Factor j(v).
-5*v*(v - 1)**2*(v + 16)
Let l be 3/(-20)*((-288)/80)/18. Let c(m) be the second derivative of -m + 0*m**2 - 1/150*m**6 + 1/30*m**3 - 1/20*m**4 + 0 + l*m**5. Factor c(f).
-f*(f - 1)**3/5
Factor -2/15*g**2 - 236/15*g - 6962/15.
-2*(g + 59)**2/15
Let k = 37 - 23. Let 0 + 2*v**2 - 8 + k*v - 22*v**2 - 42*v = 0. What is v?
-1, -2/5
Let g(a) = -4*a**2 + 1. Let f(o) = -7*o**2 - o + 3. Let d(v) = -6*f(v) + 10*g(v). Determine k, given that d(k) = 0.
-4, 1
Solve 0 - 47/4*u**4 + 2113/8*u**3 + 564*u**2 + 288*u + 1/8*u**5 = 0 for u.
-1, 0, 48
Let s(i) be the first derivative of -i**4/16 - i**3 + 13*i**2/8 + 147. Factor s(p).
-p*(p - 1)*(p + 13)/4
Let a(m) = 3*m**2 + 2*m - 1. Let s be a(-2). Let x be (-115)/(-35) + (-10)/35. Suppose 8*h + s*h - 5*h**4 + x - 21*h + 2*h**4 + 6*h**3 = 0. What is h?
-1, 1
Factor 6 + 11*n**2 + 14*n - 18*n - n + 29*n + 11*n.
(n + 3)*(11*n + 2)
Suppose -5*x - 3*k + 8 = 0, x = 3*k - 4*k. Let j(c) = c**2 - 3*c + 2. Let s be j(3). Factor -1/7*u**3 + 0*u + 1/7*u**5 + 0*u**x + 0 + 0*u**s.
u**3*(u - 1)*(u + 1)/7
Let o(p) be the second derivative of -p**4/12 - 8*p**3/3 - 63*p**2/2 + p + 60. Factor o(i).
-(i + 7)*(i + 9)
Let s be ((-30)/(-21))/((-64)/(-224)). Let j(w) be the first derivative of 6 + s*w**2 + 5/4*w**4 - 5*w**3 + 0*w. Solve j(n) = 0.
0, 1, 2
Let s(o) = -o**4 + o**2 - o + 2. Let q(a) = -9*a**4 + 20*a**3 - 26*a**2 + 16*a + 3. Let z(b) = -q(b) + 4*s(b). Factor z(v).
5*(v - 1)**4
Let c(j) be the first derivative of -3*j**4/10 + 52*j**3/15 - 37*j**2/5 + 28*j/5 + 86. Determine r so that c(r) = 0.
2/3, 1, 7
Let w(b) = 21*b**2 - 9*b**4 + 11*b**4 - 20*b**4 - 18. Let g(i) = i**4 - i**2 + 1. Let u(a) = 15*g(a) + w(a). Find f such that u(f) = 0.
-1, 1
Let z(y) be the third derivative of -y**10/201600 - y**9/26880 + 7*y**5/60 - 55*y**2. Let n(w) be the third derivative of z(w). Factor n(x).
-3*x**3*(x + 3)/4
Let b(d) be the first derivative of -d**6/35 - d**5/10 - d**4/14 + d**3/7 + 2*d**2/7 - 20*d - 43. Let p(n) be the first derivative of b(n). Factor p(f).
-2*(f + 1)**3*(3*f - 2)/7
Let d(h) be the second derivative of h**5/21 - 17*h**4/42 + 4*h**3/7 - h**2 + 9*h. Let o(f) be the first derivative of d(f). Determine r, given that o(r) = 0.
2/5, 3
Let f be (-140)/(-50) + 2/10. Factor -12 + 6*c**2 + 3*c**2 - 2*c**3 + f*c**3 - 4*c**3.
-3*(c - 2)**2*(c + 1)
Let h(r) = -r. Suppose 3*k + 20 = -k. Let b be h(k). What is w in 3*w**3 + 2*w**2 - 2*w - w**4 - 3*w**5 - w**2 - 7*w**5 + 9*w**b = 0?
-2, -1, 0, 1
Let t(l) be the second derivative of l**8/3360 - l**6/360 - 4*l**4/3 + 14*l. Let h(k) be the third derivative of t(k). Suppose h(q) = 0. Calculate q.
-1, 0, 1
Find y, given that -1 + 6*y**3 + 3*y**4 + 2*y**3 + 1 - 1 + 6*y**2 = 0.
-1, 1/3
Let a(x) be the third derivative of -x**6/1440 + x**5/60 - x**4/6 + x**3/2 - 11*x**2. Let p(w) be the first derivative of a(w). Factor p(b).
-(b - 4)**2/4
Suppose 5615 - 4*q + 0*q**2 - 5545 - 2*q**2 = 0. Calculate q.
-7, 5
Let n(x) = 246*x**2. Let p be n(-1). Suppose -p + 234 = -4*h. Factor 0 + 0*r - 1/5*r**2 - 1/5*r**h.
-r**2*(r + 1)/5
Let l(y) be the third derivative of -y**9/756 + y**8/420 + y**7/210 - y**6/90 - 2*y**3/3 - 5*y**2. Let p(b) be the first derivative of l(b). Factor p(t).
-4*t**2*(t - 1)**2*(t + 1)
Let r(d) = -9*d + 2. Let i be r(0). Factor j**4 + 0*j**4 + j**2 + 0*j**2 - 3*j**i + 1.
(j - 1)**2*(j + 1)**2
Let h(g) = 4*g - 1. Let a be h(1). Factor -16*q**a - 9*q + q + 19*q**2 + 24*q**3 - 7*q**2.
4*q*(q + 2)*(2*q - 1)
Suppose 423*j - 310*j - 407 = 45. Determine g so that 8/5*g + 4/5 - 4/5*g**j - 8/5*g**3 + 0*g**2 = 0.
-1, 1
Let n = 633166 + -5674819/9. Let h = -2627 + n. Determine w, given that 2/9*w**5 + 4/9 + h*w**2 + 4/3*w**4 + 28/9*w**3 + 2*w = 0.
-2, -1
Suppose 0 = -2*v - 4*u + 11 - 3, -8 = -3*v - 2*u. Determine c so that 6 - 3*c + 3*c - c**v + 2*c - c = 0.
-2, 3
Find z, given that z**2 - 34 + 73*z + 69*z - 157*z = 0.
-2, 17
Let i(r) = -r**3 + 6*r**2 - 2*r - 2. Let y be i(2). Suppose -y - 2 = -4*t. Determine s, given that -t*s - 8*s**2 + 16*s**2 - 9*s**2 = 0.
-3, 0
Let u(x) be the second derivative of 1/210*x**5 - 1/21*x**3 + 0*x**4 + 0 - 5*x + 5/2*x**2. Let g(l) be the first derivative of u(l). Let g(r) = 0. What is r?
-1, 1
Solve 2/5*w**4 + 0*w**3 - 24/5*w**2 + 0 - 32/5*w = 0 for w.
-2, 0, 4
Suppose -4 = -11*b + 9*b. Let m = 41/12 + -19/6. Factor -m*l**b + 1/2*l - 1/4.
-(l - 1)**2/4
Let r(v) be the first derivative of v**8/588 - v**7/735 - v**6/140 + v**5/210 + v**4/84 + 5*v**2 - 5. Let i(n) be the second derivative of r(n). Solve i(f) = 0.
-1, -1/2, 0, 1
Let z = -20 + 27. Let b be (8 + -4 - z) + 3. Solve 0*f**2 + b*f**4 + 2/3*f**3 - 1/3*f**5 - 1/3*f + 0 = 0 for f.
-1, 0, 1
Let v(w) be the first derivative of -7*w**6/18 - 47*w**5/15 - 77*w**4/12 + 47*w**3/9 + 20*w**2 - 12*w + 21. What is q in v(q) = 0?
-3, -2, 2/7, 1
Let c(g) = -13*g**2 - 389*g + 33. Let s be c(-30). Suppose 2/3*r**s + 4/3 - 4/3*r**2 - 2/3*r = 0. What is r?
-1, 1, 2
Let y(p) be the second derivative of p**5/20 - 4*p**4/3 - p**3/6 + 8*p**2 - 2*p + 35. Factor y(b).
(b - 16)*(b - 1)*(b + 1)
Suppose 2*p + 2*x + 6 = 0, -45 + 18 = -3*p + 3*x. Factor 0*u - 3/7*u**5 + 0 - 2/7*u**p + 0*u**2 + u**4.
-u**3*(u - 2)*(3*u - 1)/7
Let v(c) be the first derivative of c**3/6 + 4*c**2 + 53. Factor v(f).
f*(f + 16)/2
Let f be ((-4)/(-8)*2/(-4))/(-1). Let v(a) be the first derivative of f*a**2 - 7/6*a**3 + a - 3/4*a**4 - 8. Factor v(w).
-(w + 1)*(2*w - 1)*(3*w + 2)/2
Let a = 52 - 109. Let o = -55 - a. Factor -13/2*y - 17/2*y**3 + 1 + 12*y**o + 2*y**4.
(y - 2)*(y - 1)**2*(4*y - 1)/2
Let t be 2*(-20)/(-8) + -16 + 10 - -6. Factor 10/3*w**4 + 0*w**2 - 2*w**t + 0 + 0*w - 4/3*w**3.
-2*w**3*(w - 1)*(3*w - 2)/3
Let b(n) be the first derivative of 0*n + 0*n**2 + 4*n**3 + 13*n**4 + 2 + 16/5*n**5. Let b(f) = 0. What is f?
-3, -1/4, 0
Let v be 5394/2232 - 2/(-8). Factor -116/9*u + v + 40/3*u**2 - 28/9*u**3.
-4*(u - 3)*(u - 1)*(7*u - 2)/9
Let q be ((-238)/(-189) - (-46)/621)/4. Factor 0*a**2 + 4/3*a - a**3 + 0 + q*a**4.
a*(a - 2)**2*(a + 1)/3
Let w(d) = -2*d**3 - d**2 + 5*d + 4. Let a(o) = 6*o**3 + 2*o**2 - 16*o - 12. Let r(z) = 3*a(z) + 10*w(z). Factor r(j).
-2*(j - 1)*(j + 1)*(j + 2)
Let i(s) = -31*s**3 - 286*s**2 - 601*s - 158. Let x(y) = -y**3 - y**2 - y + 2. Let d(l) = -i(l) - 4*x(l). Factor d(n).
5*(n + 3)*(n + 5)*(7*n + 2)
Suppose 0*p + 4*p = 20. Let g be ((-40)/(-16))/(15/12). Let 21 - 21 + j**3 - j**4 - j**p + j**g = 0. What is j?
-1, 0, 1
Let f(z) = -3*z**2 + 3*z**4 + 11*z**3 - 4*z - 7 - 5*z**4 - 9*z**4. Let m(a) = 6*a**4 - 6*a**3 + 2*a**2 + 2*a + 4. Let h(d) = 4*f(d) + 7*m(d). Factor h(k).
-2*k*(k - 1)**2*(k + 1)
Let w be -63 + 60 + ((-46)/(-14) - 0). What is h in 0 + w*h**2 - 1/7*h - 1/7*h**3 = 0?
0, 1
Factor 736/5*q**2 + 320 + 96/5*q**3 + 384*q + 4/5*q**4.
4*(q + 2)**2*(q + 10)**2/5
Solve -12*a**2 - 9/2*a - 9/2*a**3 + 3 = 0 for a.
-2, -1, 1/3
Let o be (880/(-11))/10 + 130/15. Solve 39/2*a**2 - 27/2*a**3 + o - 20/3*a = 0.
2/9, 1
Suppose 6*x - 29 = 67. Let p be x/9 - 10/(-45). Solve 9*q**5 - 12*q - 13*q**4 - 11*q**2 - 11*q**4 + 26*q**p + 9*q**2 + 3*q**3 = 0.
-1, 0, 2/3, 1, 2
Let v = 4493/814 + -8/407. Solve -v*c**2 + 1/2*c**3 + 3/2*c**4 - 2 + 6*c - 1/2*c**5 = 0.
-2, 1, 2
Let h(c) be the first derivative of -1/4*c**4 - c + 1/2*c**2 + 2 + 1/3*c**3. Factor h(o).
-(o - 1)**2*(o + 1)
Factor -870*i**2 - 870*i**2 + 5 + 9*i + 1743*i**2 - i**3.
-(i - 5)*(i + 1)**2
Let q(n) be the third derivative of -n**9/272160 - n**8/45360 + n**7/7560 - 3*n**5/20 - 11*n**2. Let w(u) be the third derivative of q(u). Solve w(y) = 0.
-3, 0, 1
Find j, given that -j**2 + 2*j**3 + 30*j**2 + 36*j + 9*j**2 + 0 + 0 = 0.
-18, -1, 0
Suppose 4 = 3*y + 1. Let j(n) = -5*n**4 + 4*n**3 + 5*n**2 + 4*n - 4. Let v(a) = a**3 + a - 1. Let l(o) = y*j(o) - 4*v(o). Determine w so that l(w) = 0.
-1, 0, 1
Let w(n) be the second derivative of n**5/10 - 21*n**4/10 - 26*n**3/15 + 269*n. Solve w(j) = 0.
-2/5, 0, 13
Let m = -6 - -18. Suppose -6*j - 2*k + 8 = -j, 4*k + m = 4*j. Let 7/4*n - 1/2*n**j + 1/2 - 7/4*n**3 = 0. What is n?
-1, -2/7, 1
Let l(o) = o**3 + 2*o**3 + 4*o - 4 - 3*o. Let a(p) = 8*p**3 + 3*p - 11. Let v be -4*(3 + (0 - 2)). Let m(u) = v*a(u) + 11*l(u). Find f such that m(f) = 0.
-1, 0, 1
Let r(q) be the first deri