1035/4 + 1/8*s**3 + 28*s**2 - 1371/8*s.
(s - 3)**2*(s + 230)/8
Let a(m) be the second derivative of 5*m**4/12 + 200*m**3/3 + 395*m**2/2 + 313*m - 2. Determine u, given that a(u) = 0.
-79, -1
Let h(y) = -3*y**3 - 270*y**2 - 522*y - 54. Let q(u) = 3*u**3 + 271*u**2 + 523*u + 63. Let s(o) = 7*h(o) + 6*q(o). Factor s(x).
-3*x*(x + 2)*(x + 86)
Let p(x) be the second derivative of x**6/60 + 2*x**5/5 - 11*x**4/12 - 22*x**3/3 - 51*x**2/4 - 1345*x. Factor p(b).
(b - 3)*(b + 1)**2*(b + 17)/2
Let n(q) be the first derivative of q**4 - 16*q**3 + 1024*q - 2873. Factor n(t).
4*(t - 8)**2*(t + 4)
Let k(o) be the first derivative of 2*o**3/45 + 608*o**2/15 + 184832*o/15 + 1949. Factor k(f).
2*(f + 304)**2/15
Let l be (-2 + 42/12)*2. Factor l - 11*n**2 + 15*n - 13 + 8*n**2 + 13*n**2.
5*(n + 2)*(2*n - 1)
Suppose -929*j = -933*j + 208. Suppose j = 7*k + 24. Factor 2/3*d**3 + 0 - k*d + 2/3*d**2.
2*d*(d - 2)*(d + 3)/3
Suppose -2*a - 14 = -9*a. Find f such that -16*f + 201*f**2 + 3*f**3 - 195*f**a - 2*f**3 = 0.
-8, 0, 2
Let v(b) be the first derivative of -133 + 22*b**3 - 24*b**2 + 9/4*b**4 + 0*b. Let v(f) = 0. What is f?
-8, 0, 2/3
Let v(c) = c - 17. Let o be v(14). Let g be 4/2 - (-4)/(-6)*o. Factor 121*y**5 - 4*y**4 - 119*y**5 + g*y**2 + 3*y - 5*y.
2*y*(y - 1)**3*(y + 1)
Factor -79/4*q**3 + 0 - 171/2*q**2 + 9/4*q**4 - 18*q.
q*(q - 12)*(q + 3)*(9*q + 2)/4
Let h(j) be the first derivative of 4*j**3 + 91*j**2/4 - 10*j + 1261. Solve h(k) = 0 for k.
-4, 5/24
Factor 0 + 160/9*v**2 - 64/9*v - 4*v**3.
-4*v*(v - 4)*(9*v - 4)/9
Let u(m) = -84 + m**2 + 7*m**2 + 11*m**2 - 2*m**2 + 41*m. Let c(h) = 2*h**2 + h + 1. Let w(j) = -6*c(j) + u(j). Factor w(p).
5*(p - 2)*(p + 9)
Let j be (-4)/(-70)*936/54 + 102/(-119). Suppose 0 = -4*v + 7 + 5. Factor 2/15*g**4 + 0 - j*g**v + 0*g - 4/15*g**2.
2*g**2*(g - 2)*(g + 1)/15
Let x(r) = -23*r**3 + 440*r**2 - 2544*r - 298. Let v(c) = -24*c**3 + 442*c**2 - 2544*c - 300. Let k(a) = 5*v(a) - 6*x(a). Factor k(b).
2*(b - 12)**2*(9*b + 1)
Let z(a) be the first derivative of a**4/21 - 16*a**3/21 + 21*a - 14. Let i(b) be the first derivative of z(b). Let i(t) = 0. What is t?
0, 8
Let m = 169 - 118. Let w(i) = -i - 4. Let o be w(-6). Factor 38*r + m*r + 4*r**o - 77*r.
4*r*(r + 3)
Suppose 7 = 4*u - 5*j, 2*u - 13 = -u - 4*j. Let b be (-183)/2*(-36)/54. Solve -a**2 + 21*a**4 + 0*a + 24*a - 145*a**3 + 199*a**u + 3*a**5 + b*a**2 = 0 for a.
-2, -1, 0
Let s(u) = -2*u**2 - 21*u + 383. Let g be s(-20). Solve -25/3 - 73*y**2 + g*y**3 - 149/3*y = 0 for y.
-1/3, 25
Let l be (42 + (-5940)/140)/(18/(-364)). Find u, given that 16/3*u + l*u**2 + 2*u**3 - 8 = 0.
-3, -2, 2/3
Factor 26*b**2 - 16*b - 9*b**2 - 14*b**2 - 29*b - 3*b - 108.
3*(b - 18)*(b + 2)
Factor 12/11*m + 14/11 - 2/11*m**2.
-2*(m - 7)*(m + 1)/11
Let s = -8 + 13. Suppose -p = -s*h + 14, 2*p - 17 = -4*h - h. Suppose 10*i**h + 28*i**4 - 4*i**2 + 4*i**2 - 5*i**5 - 23*i**4 = 0. What is i?
-1, 0, 2
Let t(h) be the first derivative of -13/2*h**2 - 30 + 1/80*h**5 + 0*h + 0*h**3 - 1/16*h**4. Let y(q) be the second derivative of t(q). Solve y(g) = 0.
0, 2
Let y be 8/14 - 12935/25074. Let x(m) be the second derivative of -1/126*m**7 + 0 + 0*m**3 - 2/45*m**6 - y*m**4 + 0*m**2 - 1/12*m**5 - 10*m. Factor x(u).
-u**2*(u + 1)**2*(u + 2)/3
Let t(v) be the first derivative of -15 + 0*v**4 - 1/60*v**5 + 1/360*v**6 + 2/9*v**3 + 9/2*v**2 + 0*v. Let n(w) be the second derivative of t(w). Factor n(l).
(l - 2)**2*(l + 1)/3
Let g(a) be the second derivative of -a**4/42 + 32*a**3/7 - 95*a**2/7 - 3741*a - 1. Factor g(f).
-2*(f - 95)*(f - 1)/7
Let d be ((-8)/(-1*1))/((-5)/15). Let s = -22 - d. Find q such that 16*q**2 - 5*q + 0*q**s - 11*q**2 - 10 = 0.
-1, 2
Let m(y) be the first derivative of y**4/3 + 73*y**3/9 + 73*y**2/3 + 32*y/3 + 196. Factor m(w).
(w + 2)*(w + 16)*(4*w + 1)/3
Let v(g) be the second derivative of -3*g**5/80 + 93*g**4/16 + 189*g**3/8 + 285*g**2/8 + 3136*g. What is u in v(u) = 0?
-1, 95
Factor 0*n - 1/7*n**3 + 652/7*n**2 + 0.
-n**2*(n - 652)/7
Let a(x) be the first derivative of 1/840*x**6 + 12*x**3 + 0*x**2 + 15 + 0*x - 3/56*x**4 + 1/140*x**5. Let d(c) be the third derivative of a(c). Factor d(w).
3*(w - 1)*(w + 3)/7
Suppose 46*k - 18*k = -43*k + 710. Let 0*u**3 - k*u**5 + 0 + 0*u**2 + 4/3*u**4 + 0*u = 0. What is u?
0, 2/15
Factor -222/5*r + 936/5 - 3/5*r**2.
-3*(r - 4)*(r + 78)/5
Suppose -525*p - 537 + 5432*p**2 - 20*p**3 + 2092*p + 3185*p + 4921 + 8384*p = 0. Calculate p.
-2, -2/5, 274
Let v(a) = 15*a**4 + 56*a**3 - 363*a**2 + 575*a - 206. Let n(m) = 8*m**4 + 28*m**3 - 182*m**2 + 290*m - 102. Let r(h) = -11*n(h) + 6*v(h). Factor r(w).
2*(w - 3)*(w - 1)**2*(w + 19)
Let c(j) be the first derivative of -2*j**5/25 + 9*j**4/2 + 58*j**3/3 - 9*j**2 - 288*j/5 + 2291. Find p, given that c(p) = 0.
-3, -1, 1, 48
Let j(b) = b**2 - b - 1. Let h(o) = 2*o**2 + 69*o - 50. Let x(w) = h(w) - 5*j(w). Let q be x(24). Factor 2/3*l**2 + 2/3*l**q - 2/3*l - 2/3.
2*(l - 1)*(l + 1)**2/3
Let a(j) be the first derivative of -j**7/2940 + j**6/1260 + j**5/420 - j**4/84 - 5*j**3/3 - 73. Let w(l) be the third derivative of a(l). Factor w(k).
-2*(k - 1)**2*(k + 1)/7
Let n = -485/18 + 515/18. Let r be -1*(-1 + 8/(-12)). Determine z so that -r*z**2 + n*z**4 + 0 - 2/3*z**3 + 2/3*z = 0.
-1, 0, 2/5, 1
Let s(o) = -2*o - 1. Let q(n) = -n**2 + 5*n + 5. Suppose 0 = -3*u - 5*j - 16 + 44, -3*u + 13 = 2*j. Let c(g) = u*s(g) + q(g). Let c(a) = 0. What is a?
-1, 4
Suppose 12 - 27 = -3*v. Factor 13*x**5 - 32400*x + 150*x**4 - 18*x**v + 10800*x**2 - 217*x**3 + 38880 - 1583*x**3.
-5*(x - 6)**5
Let s(c) be the third derivative of -c**8/112 + c**6/20 - c**4/8 + c**2 - 538. Determine i, given that s(i) = 0.
-1, 0, 1
Suppose 5*c - 14 = -3*h, 2*h + 3*c - 1 = 8. Suppose -4*o = -a - 0 - 10, -2*o = -5*a - 14. Factor 2*w**h + 86 - 4*w**o - 86 + 2*w**2.
2*w**2*(w - 1)
Let p(n) = 11*n**2 + 3*n - 2. Let m(u) = 2*u**2 + u. Suppose -62 = 15*a - 77. Let i(q) = a*p(q) - 6*m(q). Factor i(k).
-(k + 1)*(k + 2)
Factor 486/11*l + 1458/11 + 16/11*l**2.
2*(l + 27)*(8*l + 27)/11
Suppose 2 = -5*u + 22. Suppose -2*s = -u, -4*s = -3*j - s. Factor 1 - 6*p**2 + 27 - 4 - 20*p + 10*p**j.
4*(p - 3)*(p - 2)
Let t be (-1 + 16)/(16/8). Let u be -5*(-36)/30 + 0. Factor -3/2*r**2 + t - u*r.
-3*(r - 1)*(r + 5)/2
Suppose -4*m = -57 + 33. Factor -31 + 6*w + m*w**2 + 14 + 17 + 3*w**3 - 3*w.
3*w*(w + 1)**2
Let l(h) be the first derivative of 7396*h**3/3 - 344*h**2 + 16*h - 3301. Factor l(q).
4*(43*q - 2)**2
Let f be (66080/300)/(-28) + (-1 - -9). Let s(z) be the first derivative of -1/6*z**4 + f*z**5 + 12 - 10/9*z**3 - 32/15*z + 8/3*z**2 + 1/45*z**6. Factor s(m).
2*(m - 1)**3*(m + 4)**2/15
Let t be ((-10)/(-50))/(3/(-135))*(-5)/25. Factor 0 - t*z**4 + 8/5*z**3 + 0*z + 1/5*z**2.
-z**2*(z - 1)*(9*z + 1)/5
Suppose -9*m = -6*m - 36. Find j such that -140*j - m*j**4 - 2*j**5 + 105*j**3 - 38*j**4 + 20*j**2 + 7*j**5 = 0.
-1, 0, 2, 7
Let w(b) be the second derivative of b**5/240 - 7*b**4/96 + 5*b**3/12 - 47*b**2 - 61*b. Let i(s) be the first derivative of w(s). Find h, given that i(h) = 0.
2, 5
Factor 400 - 188/3*y - 2/3*y**2.
-2*(y - 6)*(y + 100)/3
Let n = 8 - 4. Suppose i - o + 2*o = -5, -20 = i + n*o. Factor 12*z - 3*z**3 + 0 + 6*z**3 + i + 12*z**2.
3*z*(z + 2)**2
Let v(p) be the first derivative of p**6/30 - p**5/2 - p**4/12 + 5*p**3/3 + 47*p - 28. Let r(z) be the first derivative of v(z). Find d such that r(d) = 0.
-1, 0, 1, 10
Let q be -6 - (6 - -1)*-1. Let b(x) = x**4 - 2*x**3 - x**2 - 1. Let f(a) = a**5 + a**4 - 4*a**3 - a**2 + a - 1. Let u(m) = q*f(m) - b(m). Factor u(y).
y*(y - 1)**2*(y + 1)**2
Suppose -4258 = -91*p - 3894. Suppose -272/7*h**3 + 110/7*h - 114/7*h**2 - 16/7 - 32/7*h**p = 0. What is h?
-8, -1, 1/4
Suppose -4*d - 608 = -42*d. Suppose u - t + 18 = -6*t, -4*u + 2*t + d = 0. Find z, given that -1/4*z**3 - 1/8*z**4 + 0*z + 0 + 0*z**u = 0.
-2, 0
Suppose 197*m - 228690 = 161*m - 279*m. Factor -66*w - 3/2*w**2 - m.
-3*(w + 22)**2/2
Suppose -8 = 4*d + g - 58, -3*g = 4*d - 54. Suppose 0 = -d*m + 13*m - 4. Factor 4 - 4*f**3 - 14*f + 3*f**m - 6*f**4 + 16*f**2 - f**4 + 2*f**5.
2*(f - 1)**4*(f + 2)
Let x(o) = 2*o**2 - 17*o - 27. Let y be x(10). Determine t so that -11*t**2 + 15*t**5 + 51*t**3 - 37*t**4 - 14*t**4 - y*t**3 - t**2 = 0.
0, 2/5, 1, 2
Let r(b) = -1462*b**2 - 4382*b + 25. Let g be 