*(p + 6)**2/17
Let t(f) = 3*f**3 + 12*f**2 + 87*f - 36. Let x(v) = -5*v**3 - 25*v**2 - 175*v + 84. Let r(y) = -11*t(y) - 6*x(y). Factor r(b).
-3*(b - 9)*(b - 1)*(b + 4)
Determine t so that 1833*t - 4*t**2 - t**2 + 496 - 2441 + 107*t + 10*t**2 = 0.
-389, 1
Let p(w) be the second derivative of -20/3*w**3 + 7 - 11/3*w**4 - 7*w - 1/5*w**5 + 0*w**2. Find f, given that p(f) = 0.
-10, -1, 0
Let f(n) = -n**3 + 20*n**2 - n + 25. Let x be f(20). Suppose 3*h**4 - 26*h**x - 6*h**2 + 49*h**5 + 3 - 24*h**5 + 2*h**3 - h = 0. What is h?
-1, 1, 3
Factor -5/2*i**3 + 255/2*i**2 - 585*i + 460.
-5*(i - 46)*(i - 4)*(i - 1)/2
Let a = 11 - 8. Suppose g - a = -1. Suppose 5*h**4 - 10*h**g + 3*h - 10*h**3 + 2*h + 5 + 0*h**3 + h**5 + 4*h**5 = 0. Calculate h.
-1, 1
Let t(k) be the third derivative of 0 + 1/210*k**7 + 76/3*k**5 - 13/20*k**6 - 9*k**2 - 507/2*k**3 + 13/4*k**4 + 13*k. Factor t(j).
(j - 39)**2*(j - 1)*(j + 1)
Let p(a) be the second derivative of -1/33*a**3 - 1/154*a**7 + 1/44*a**5 - 36*a - 1/330*a**6 + 0*a**2 + 1/132*a**4 + 0. Solve p(f) = 0.
-1, 0, 2/3, 1
Let r = -1794082 + 1794085. Determine n so that -3/7 + 24/7*n**4 - 69/7*n**3 + 3*n + 48/7*n**5 - r*n**2 = 0.
-1, 1/4, 1
Let b(j) be the second derivative of 3/10*j**2 - 61*j + 0 + 1/25*j**6 - 3/20*j**4 - 3/100*j**5 + 1/10*j**3. Find l such that b(l) = 0.
-1, -1/2, 1
Suppose 6*c - 8*c + 16 = 0. Suppose 7*t = c*t - 2. Factor -13*x**3 + 38*x**3 - 4*x**t - 13*x**3.
4*x**2*(3*x - 1)
Factor -7*x - 4*x + 282 - 24*x**2 + 76 - 94 + 13*x - 2*x**3.
-2*(x - 3)*(x + 4)*(x + 11)
Suppose 1 = -a + n, 0 = 4*a + n + 3*n - 20. Let p be 4*-1*(-18)/8 + a. Let -2*b - b - p*b**2 + 2*b**2 - 3*b**4 - 9*b**3 = 0. Calculate b.
-1, 0
Let b(t) be the third derivative of t**6/210 + 204*t**5/35 - 613*t**4/42 + 277*t**2 + t. Factor b(d).
4*d*(d - 1)*(d + 613)/7
Let p be 8319/(-36) - (-15)/180. Let g be 14/77 + (2 - (-438)/p). Factor 2/7*d**3 - g*d**4 + 2/7*d**2 - 2/7*d + 0.
-2*d*(d - 1)**2*(d + 1)/7
Suppose 2*f - 23 = -a, 4*f = -f - 2*a + 58. Solve 49*l**2 - 24*l**3 - 7*l**4 + 61*l - 5*l + f + 22*l**3 = 0.
-2, -1, -2/7, 3
Let s(a) be the second derivative of 7 + 0*a**4 - 9/80*a**5 + 0*a**2 + 1/10*a**6 - a + 0*a**3. Let s(o) = 0. What is o?
0, 3/4
Suppose -23*z + 34 = -6*z. What is x in -24*x**2 - 15*x + 50*x**2 - 29*x**z + 18 = 0?
-6, 1
Suppose -3*r - 21 = -1212*k + 1221*k, 3*r + 29 = -5*k. Solve -9 + 1/2*w**3 - 15/2*w + k*w**2 = 0 for w.
-6, -1, 3
Let v(r) = r**3 + 2*r**2 - 16*r - 10. Let c(i) = i**3 + 2*i**2 + 10. Let h(q) = -c(q) - v(q). Solve h(w) = 0.
-4, 0, 2
Find l, given that 22177/4*l**3 + 61919*l - 63067/2*l**2 - 73*l**4 + 1/4*l**5 - 40898 = 0.
2, 143
Suppose -1220/7 - 1219/7*s + 1/7*s**2 = 0. What is s?
-1, 1220
Let b(x) be the second derivative of 2*x**4/11 - 1285*x**3/11 + 963*x**2/11 - 6*x - 12. Factor b(j).
6*(j - 321)*(4*j - 1)/11
Let l(p) = -p - 8. Let y be l(-9). Suppose -42*m + 924 = 168. Factor -4 - 17*q + 0*q**2 + m*q - q**3 + 3*q**2 + y.
-(q - 3)*(q - 1)*(q + 1)
Let z(n) be the second derivative of n**5/40 - n**4/4 + 5*n**3/12 + 3*n**2 + 1352*n. Determine i, given that z(i) = 0.
-1, 3, 4
Let a(k) = 3*k**3 - 18*k**2 + 16*k - 2. Let v be a(5). Factor 12*j + 12*j**3 + 2*j - 11*j**2 - v*j**4 - 8*j + 0*j**2 - 4*j**2.
-3*j*(j - 2)*(j - 1)**2
Suppose -7*a + 20 = -2*a. Suppose -16 = -4*w - a*s, -14 = -w - 4*w + s. What is r in 326*r**2 + 0 + 2*r - 2 - 2*r**w - 324*r**2 = 0?
-1, 1
Suppose -r = -w + 6, 0*r + 4*r = -3*w - 10. Let q = 492299/6 - 3445997/42. Factor -q - 4/7*n + 2/7*n**w.
2*(n - 4)*(n + 2)/7
Suppose 0 = 58*g - 777 + 603. Let d(x) be the first derivative of 3/4*x**4 + 27 + 3/2*x**g + 0*x + 3/4*x**2. Factor d(h).
3*h*(h + 1)*(2*h + 1)/2
Let z(p) be the third derivative of p**5/30 - 832*p**4/3 + 2768896*p**3/3 + p**2 - 407*p. Factor z(t).
2*(t - 1664)**2
Suppose 2*j = -4*i - 34, 4*j + 0*j = 4*i - 20. Let g be (-696)/(-72) + (j - -2). Suppose -g*b - 1/6*b**2 - 32/3 = 0. Calculate b.
-8
Factor 156 - 3/4*r**2 - 9/4*r.
-3*(r - 13)*(r + 16)/4
Let j be 8/3 - 11/(297/18). What is r in 324 + 589*r**2 + 1080*r - 112*r**j - 1288*r**5 - 687*r**3 + 168*r**4 + 1276*r**5 = 0?
-1/2, 3, 6
Factor -2/5*t**2 - 308/5 + 62*t.
-2*(t - 154)*(t - 1)/5
What is c in 32489*c**2 - 10 - 32879*c**2 + 394*c + 6 = 0?
2/195, 1
Factor -1/5*y**3 + 26/5*y**2 - 192/5*y + 288/5.
-(y - 12)**2*(y - 2)/5
Let b = -179604 + 179608. Find p such that p**3 - 6*p**2 - 5/2 + 1/2*p**b + 7*p = 0.
-5, 1
Let f be ((-1)/(6/14))/((-48)/152 + 679/(-798)). What is k in -82/7*k**f - 2/7*k + 0 = 0?
-1/41, 0
Let v(t) be the second derivative of 94*t + 0*t**3 + 1/80*t**5 + 0 - 1/168*t**7 - 1/48*t**4 + 0*t**2 + 1/120*t**6. Factor v(b).
-b**2*(b - 1)**2*(b + 1)/4
Let c = 738 + -739. Let k(y) = y + 3. Let d be k(c). Factor 3/5*p**4 - 6/5*p**d - 36/5*p + 12/5*p**3 + 27/5.
3*(p - 1)**2*(p + 3)**2/5
Let z be 4/(-3 + 2) - 2. Let q(c) = -c**3 - 5*c**2 + 7*c + 10. Let x be q(z). Factor -5*d**2 + 19*d + 7*d**4 - 2*d**x - 5*d**3 - 14*d.
5*d*(d - 1)**2*(d + 1)
Let z(t) = -17*t - 69. Let h be z(-17). Let d = -652/3 + h. Solve -14/9*q**3 + 2/9*q**5 + d*q + 0*q**4 - 16/9 + 4/9*q**2 = 0.
-2, 1, 2
Factor -238*o + 145*o**2 + 123*o + 299*o**2 + 214*o - 4*o**3 + 349*o.
-4*o*(o - 112)*(o + 1)
Let l(i) = -15*i + 25. Let c be l(2). Let w(s) = s**3 - 9*s**2 + 5*s - 3. Let z(p) = p**3 - 19*p**2 + 10*p - 7. Let r(k) = c*w(k) + 2*z(k). Factor r(d).
-(d - 1)**2*(3*d - 1)
Let h(q) be the third derivative of -37*q**5/420 + 97*q**4/168 - 10*q**3/7 - q**2 + 113*q + 3. Factor h(r).
-(r - 1)*(37*r - 60)/7
Let q(j) be the second derivative of 13*j - 39304/7*j**2 + 0 - 1156/7*j**3 - 1/70*j**5 - 17/7*j**4. Factor q(l).
-2*(l + 34)**3/7
Solve 841*x**3 + 11218*x + 3585*x - 3520*x + 5637*x**2 - 1686*x**3 + 5643 + 842*x**3 = 0.
-1, 1881
Suppose 5*j = 3*c + 4, -3*j + 20*c = 15*c + 4. Let k(t) be the first derivative of -10 + 1/2*t**j + 0*t + 1/9*t**3. Solve k(l) = 0 for l.
-3, 0
Suppose 5*z - 12 = 8, u - 4*z = 8. Suppose 11*h - 7*h = 2*a - u, -3*a = -2*h - 16. Factor 0 + 0*n + 1/4*n**5 + 3/4*n**3 - 1/4*n**a - 3/4*n**4.
n**2*(n - 1)**3/4
Let l(h) be the second derivative of h**9/7560 + h**8/105 + 37*h**4/6 + 2*h + 12. Let p(m) be the third derivative of l(m). Factor p(j).
2*j**3*(j + 32)
Let z = -58413/4 - -175241/12. Solve -3/2 - 4/3*p + 4/3*p**3 - z*p**4 + 5/3*p**2 = 0 for p.
-1, 1, 9
Let l(p) be the third derivative of p**7/42 - 125*p**6/24 + 61*p**5/2 + 5*p**4/6 - 1220*p**3/3 - 17*p**2 - 39*p + 2. Factor l(i).
5*(i - 122)*(i - 2)**2*(i + 1)
Let g(l) be the third derivative of l**5/60 - 790*l**4/3 + 4992800*l**3/3 + 737*l**2 - 1. Solve g(m) = 0.
3160
Find p such that -400/7*p**5 - 49240/7*p**4 + 44519/7*p**3 + 2231/7*p - 124/7 - 14986/7*p**2 = 0.
-124, 1/5, 1/4
Let b(x) be the third derivative of -x**8/70 - 223*x**7/525 - 119*x**6/300 + 64*x**5/75 + 3*x**4/5 + 929*x**2. Suppose b(i) = 0. What is i?
-18, -1, -1/4, 0, 2/3
Let s be -2 + 3 + (240 - 4). Suppose -w = 67 - s. Determine y so that -w*y + 170*y + 5*y**4 - 5*y**2 = 0.
-1, 0, 1
Let m = 12718/3 + -4239. Let r(v) be the second derivative of -23*v + 1/36*v**4 + 0 - m*v**3 - 7/6*v**2. Suppose r(f) = 0. Calculate f.
-1, 7
Factor 104*o - 1440/7 - 4/7*o**2.
-4*(o - 180)*(o - 2)/7
Let p(b) be the third derivative of -b**7/1260 + 7*b**5/90 + b**4/3 - 6702*b**2. Factor p(y).
-y*(y - 6)*(y + 2)*(y + 4)/6
Let q(c) = c**3 + 8*c**2 + 8*c + 35. Let m be q(-7). Let f(n) = -72*n**2 + 72*n + 264. Let i(r) = -13*r**2 + 13*r + 48. Let x(y) = m*i(y) - 5*f(y). Factor x(d).
-4*(d - 3)*(d + 2)
Let o(r) be the first derivative of 0*r + 0*r**3 + 0*r**2 + 0*r**4 - 1/15*r**5 - 1/18*r**6 + 80. Find v, given that o(v) = 0.
-1, 0
Suppose 139*q**2 - 170*q + 15*q**3 + 451*q**2 - 235*q - 2069 + 906 + 963 = 0. Calculate q.
-40, -1/3, 1
Let c(n) be the third derivative of n**8/56 + 319*n**7/105 - 43*n**6/12 - 107*n**5/30 - 652*n**2 + 2. Determine p, given that c(p) = 0.
-107, -1/3, 0, 1
Let k be ((-4)/6)/(18/(-81)). Solve -5*o**k + 6*o**3 - o**3 + 0*o**3 + o**3 + 2*o**2 = 0 for o.
-2, 0
Let u = 5244 - 5241. Let m(t) be the first derivative of -19 + 4/3*t**u + 4*t**2 - 12*t. Determine l, given that m(l) = 0.
-3, 1
Find g, given that -45/8 - 17/2*g**2 - 51/4*g - 5/4*g**3 + 1/8*g**4 = 0.
-3, -1, 15
Let x(k) be the third derivative of -9/8*k**4 + 9/10*k**5 - 1/336*k**8 - 15 - 3/10*k**6 + 1/21*k*