163 = -155. Let f be (-76)/(-16) + (-2)/l. Factor -2/11*j**f - 2/11*j - 4/11*j**2 + 4/11*j**3 + 2/11*j**4 + 2/11.
-2*(j - 1)**3*(j + 1)**2/11
Let b be (-273)/24 - (25/40 + -1). Let g be 2 - 1 - ((-55)/10)/b. Factor g*q**5 + q**2 - 3/2*q + 1/2 - 3/2*q**4 + q**3.
(q - 1)**4*(q + 1)/2
Factor -34 + 46*t + 20*t**2 - 27 - 18 - 20 + 123 - 2*t**3.
-2*(t - 12)*(t + 1)**2
Let v(l) be the second derivative of l**5/130 - l**4/78 - 2*l**3/13 + 74*l. Find d, given that v(d) = 0.
-2, 0, 3
Factor 1537*w - 3*w**2 - 788*w - 617*w.
-3*w*(w - 44)
Let j(v) = v**3 + 1. Let c(p) = 10*p**3 - 20*p**2 + 20*p + 5. Let q(k) = k**2 - k - 5. Let l be q(3). Let n(o) = l*c(o) - 5*j(o). Factor n(h).
5*h*(h - 2)**2
Solve -3/4*p**2 + 0 - 135/4*p = 0 for p.
-45, 0
Let h(y) = 8*y**2 + 15*y + 29. Let u be h(-15). Factor z**3 + 744 + u + 42*z**2 + 588*z + 396.
(z + 14)**3
Let i(a) be the third derivative of -1/70*a**7 + 20*a**2 + 0*a + 1/112*a**8 - 1/40*a**6 + 0*a**4 + 1/20*a**5 + 0 + 0*a**3. Solve i(g) = 0.
-1, 0, 1
Let v(j) be the first derivative of -j**5/20 + 13*j**4/16 - 4*j**3 + 9*j**2/2 + 110. Find w, given that v(w) = 0.
0, 1, 6
Factor 57/7*f - 54/7 - 3/7*f**2.
-3*(f - 18)*(f - 1)/7
Let s(o) = -2*o**2 + 14*o - 8. Let g(u) = -4*u**2 + 32*u - 18. Let l(i) = 2*g(i) - 5*s(i). Factor l(m).
2*(m - 2)*(m - 1)
Let l be 1/((-4)/(-20)) + 2. Let i = -5 + l. Factor -i*o**5 - 21*o + 21*o - 6*o**4 - 4*o**3.
-2*o**3*(o + 1)*(o + 2)
Suppose 11*n - 18 = 5*n. Factor -113*k - 48*k**2 + 191*k - 14*k**3 - 8*k**n - 108*k - 4.
-2*(k + 1)**2*(11*k + 2)
Let a(q) = q**2 - 1. Let v(x) = 4*x**2 - 2*x - 6. Let b(r) = -6*a(r) + v(r). Let o be b(0). Solve o - 2/3*z**3 - 6*z - 4*z**2 = 0 for z.
-3, 0
Let c = 12615 + -12615. Find v, given that 2/9*v**2 + c - 4/9*v + 2/9*v**3 = 0.
-2, 0, 1
Factor 3*i**2 + 11*i + 49*i + 10*i - 13*i - 6 + 60.
3*(i + 1)*(i + 18)
Factor 3/2*r**4 - 72*r**3 + 0*r + 864*r**2 + 0.
3*r**2*(r - 24)**2/2
Suppose 7*y + 6*y = 5*y. Let h(t) be the third derivative of 4*t**2 - 1/270*t**5 + 0*t**3 + 0 + 0*t**4 + 1/945*t**7 + 0*t**6 + y*t. Factor h(l).
2*l**2*(l - 1)*(l + 1)/9
Let w = 7689/4 + -1922. Find q, given that -5/4*q + q**2 + w = 0.
1/4, 1
Let j(l) be the third derivative of 0*l**5 - 2*l**2 + 0*l + 0 + 1/180*l**6 + 0*l**3 + 1/504*l**8 - 2/315*l**7 + 0*l**4. Factor j(f).
2*f**3*(f - 1)**2/3
Let t = 559/54 - 21/2. Let x = t - -35/54. Suppose 1/2*z**5 + 0*z**3 + 0*z**2 + 0 + x*z**4 + 0*z = 0. Calculate z.
-1, 0
Let q = -65 - -87. Determine d, given that 2*d**2 - q*d - 23*d + 39*d + 4 = 0.
1, 2
Let x = 2 + 10. Suppose -x*f + 10*f = -8. Factor 12/7*i**2 + 2/7 + 2/7*i**f - 8/7*i**3 - 8/7*i.
2*(i - 1)**4/7
Let o(u) be the third derivative of -1/8*u**3 + 1/24*u**4 + 0*u + 0 + 17*u**2 - 1/240*u**5. Factor o(g).
-(g - 3)*(g - 1)/4
Let o = 18154/13 - 1396. Factor -6/13*c**3 - 2/13*c**2 - o*c**4 - 2/13*c**5 + 0*c + 0.
-2*c**2*(c + 1)**3/13
Let v(q) be the second derivative of -5*q**4/12 - 245*q**3/6 - 120*q**2 + 133*q - 2. Factor v(z).
-5*(z + 1)*(z + 48)
Let s = -250 - -255. Let f(c) be the third derivative of 1/30*c**s - 3/28*c**4 + 2/21*c**3 + 3*c**2 + 0*c + 0. Solve f(i) = 0 for i.
2/7, 1
Let p(j) be the first derivative of -2/9*j**3 + 5 + 0*j + 0*j**2. Solve p(g) = 0 for g.
0
Let r(j) be the third derivative of j**8/336 - j**7/210 - j**6/60 + j**5/30 + j**4/24 - j**3/6 - 126*j**2. Factor r(b).
(b - 1)**3*(b + 1)**2
Let o(b) be the second derivative of b**6/18 + 4*b**5/15 + b**4/2 + 4*b**3/9 + b**2/6 - 2*b - 31. Factor o(k).
(k + 1)**3*(5*k + 1)/3
Suppose -4 = y - 3*y. Suppose r**3 + r - 5*r - r**3 - 4*r**3 - 8*r**y = 0. What is r?
-1, 0
Let x(k) = -k**2 - k. Let l(u) = -2*u + 2*u + 12*u + 8*u**2 + 4. Let m(i) = l(i) + 10*x(i). Factor m(d).
-2*(d - 2)*(d + 1)
Let h(m) be the first derivative of 0*m + 1/26*m**4 - 29 + 8/39*m**3 + 0*m**2. Let h(c) = 0. Calculate c.
-4, 0
Suppose -14*l = -35 + 7. Suppose -3*d = -l*d + 5*d. Factor d + 0*n**2 + 0*n - 1/2*n**4 + 1/2*n**3.
-n**3*(n - 1)/2
Determine j so that 0*j - 244/3*j**4 + 0 + 64/3*j**2 - 152/3*j**3 - 28/3*j**5 = 0.
-8, -1, 0, 2/7
Let b(q) be the third derivative of 3/40*q**5 + 5*q**2 + 0*q - 3/140*q**7 - 1/224*q**8 + 0 - 1/80*q**6 + 0*q**3 + 1/8*q**4. Let b(i) = 0. What is i?
-2, -1, 0, 1
Suppose 20*r = 15*r. Let z(b) be the third derivative of 0*b + 1/252*b**8 + 0*b**7 - 8*b**2 + 0*b**5 - 1/90*b**6 + r*b**4 + 0 + 0*b**3. Factor z(j).
4*j**3*(j - 1)*(j + 1)/3
Let l(c) be the first derivative of c**5/5 + c**4/4 - 2*c**3 - 349. Let l(v) = 0. What is v?
-3, 0, 2
Let z be -3 + 5 - 0*(-4)/16. Solve z*m**4 + 4*m**5 - 16*m**2 - 236*m**3 + 268*m**3 - 22*m**4 = 0.
0, 1, 2
Let i(u) be the third derivative of u**6/40 + 6*u**5/5 + 45*u**4/8 + 11*u**3 + 535*u**2. Factor i(l).
3*(l + 1)**2*(l + 22)
Let p(y) be the first derivative of -y**7/105 - y**6/60 + 2*y**5/15 + y**4/3 - 2*y**2 - 11. Let s(q) be the second derivative of p(q). Factor s(w).
-2*w*(w - 2)*(w + 1)*(w + 2)
Let f(m) be the second derivative of m**6/165 + m**5/55 - 5*m**4/66 - 2*m**3/11 - 67*m. Find g, given that f(g) = 0.
-3, -1, 0, 2
Let i(t) = t**3 + 2*t**2 + 6*t. Let k be i(0). Let n(m) be the third derivative of 0*m**3 - 1/120*m**6 + 0*m**5 + k*m + 4*m**2 + 0 + 0*m**4. Factor n(w).
-w**3
Let t(s) be the second derivative of -3*s**6/10 + 21*s**5/5 - 33*s**4/4 + 4*s**3 - 46*s. Determine k, given that t(k) = 0.
0, 1/3, 1, 8
Let y(a) = a**3 + a**2 - a - 1. Let n(m) = -7*m**3 - 29*m**2 - 28*m - 6. Let f(j) = 2*n(j) + 4*y(j). Factor f(k).
-2*(k + 1)*(k + 4)*(5*k + 2)
Suppose 0 = -322*v + 310*v + 36. Determine j, given that -16/5*j**4 + 4*j**v + 0*j + 0 - 4/5*j**2 = 0.
0, 1/4, 1
Let g = 65 - -16. Solve 4 + 36*h**4 - 15*h**5 + 2*h - 10 - g*h**2 + 51*h**2 + 25*h - 12*h**3 = 0 for h.
-1, 2/5, 1
Let p(o) be the third derivative of 2*o**3 - 3*o**2 + 0*o**5 + 0*o + 1/60*o**6 - 7/12*o**4 + 0. Suppose p(j) = 0. Calculate j.
-3, 1, 2
Let i(p) be the first derivative of -13 - 3*p - 39/10*p**5 + 123/8*p**4 + 57/4*p**2 - 45/2*p**3. Determine a so that i(a) = 0.
2/13, 1
Let w(m) be the third derivative of m**5/30 + 23*m**4/12 + 267*m**2. Determine n so that w(n) = 0.
-23, 0
Suppose 0 = 3*g + 5*y + 20, -g - 2*g + 4*y = -16. Let l = -2205 + 11026/5. Factor 2/5*f**3 + 0*f + 0*f**2 - l*f**4 + g.
-f**3*(f - 2)/5
Let u = 61 - 59. Let p be 9/u + (-2 - 1). Factor p*l**5 + 0 + 6*l - 9*l**4 + 39/2*l**3 - 18*l**2.
3*l*(l - 2)**2*(l - 1)**2/2
Let r(l) be the third derivative of 5/336*l**8 + 3/8*l**6 + 5/42*l**7 + 0*l + 7/12*l**5 + 0*l**3 + 0 + 5/12*l**4 - 13*l**2. Factor r(n).
5*n*(n + 1)**3*(n + 2)
Let h(a) be the second derivative of -a**7/17640 - a**6/2520 + a**5/105 - a**4/12 + a**3/6 - 36*a. Let m(f) be the third derivative of h(f). Factor m(i).
-(i - 2)*(i + 4)/7
Let x(y) be the second derivative of 4/5*y**5 - 2/15*y**6 + 32*y**2 + 22*y + 0 - 32/3*y**3 + 0*y**4. Factor x(l).
-4*(l - 2)**3*(l + 2)
Let a(x) = -2*x + 51. Let c be a(24). Factor z**4 - z**2 - 51*z - 2*z**3 + 51*z + z**c + z**5.
z**2*(z - 1)*(z + 1)**2
Suppose -5*w - 10 = 0, 4*w = 6*z - 5*z - 12. Let x(c) be the third derivative of 0 + 4/3*c**3 + 0*c + 1/3*c**z + 4*c**2 + 1/30*c**5. Factor x(f).
2*(f + 2)**2
Let k(a) be the second derivative of 8*a**6/15 - 57*a**5/5 + 14*a**4/3 - 88*a - 4. Factor k(h).
4*h**2*(h - 14)*(4*h - 1)
Let r be 185/925*50/4. Factor 0 - r*c**3 - 5/2*c - 5*c**2.
-5*c*(c + 1)**2/2
What is l in -176/3 + 56/3*l**2 + 116/3*l + 4/3*l**3 = 0?
-11, -4, 1
Let u be (-2)/6*342/(-190) - -3. Factor 24/5*o**2 + 4/5 + u*o + 8/5*o**3.
2*(o + 2)*(2*o + 1)**2/5
Factor 7*c - 1 - 27*c - 6*c + 12*c**2 + 5.
2*(c - 2)*(6*c - 1)
Let g(q) be the third derivative of q**8/1008 - q**7/90 + q**6/60 + 394*q**2. Find w such that g(w) = 0.
0, 1, 6
Let b be (-35)/450*(-3)/42. Let i(d) be the third derivative of 0*d + b*d**5 + 0*d**4 + 0 + 4*d**2 + 0*d**3. Factor i(p).
p**2/3
Let g = 58 + -52. Suppose -g*w + 4 = -8. What is k in 5/2*k**4 + 8 + 10*k**3 + 1/4*k**5 + 20*k + 20*k**w = 0?
-2
Suppose 16 = 18*f - 20. Let p(z) = -z**3 + 7*z**2 - 7*z + 8. Let t be p(6). Factor l**t - 2 - 9*l**2 + 12*l - f*l.
-2*(l - 1)*(4*l - 1)
Let f(a) be the second derivative of -a**6/135 + 7*a**4/54 + 2*a**3/9 - 30*a + 1. Factor f(u).
-2*u*(u - 3)*(u + 1)*(u + 2)/9
Let k(b) = -10*b**4 + 190*b**3 - 865*b**2 + 125*b + 1025. Let o(p) = p**4 - 21*p**3 + 96*p**2 - 14*p - 114. Let s