 z in -81/4*z**3 + 81/4*z - 167/4*z**2 + 83/2 + 1/4*z**4 = 0?
-2, -1, 1, 83
Let x be 2/(-4)*(-1 - 7). Let v(r) = 60*r**3 - 21*r**3 - 20*r**3 - 20*r**3 - 4 - r**2 - 8*r. Let c(d) = d**2. Let z(m) = x*c(m) - v(m). Factor z(w).
(w + 1)*(w + 2)**2
Let g(u) = -u**3 - 4*u**2 - u + 6. Suppose 4*b + 5*i = 19, -11*b + 8*b = -2*i + 3. Let n(s) = -s**2 - s + 1. Let l(w) = b*g(w) - 4*n(w). Factor l(q).
-(q - 2)*(q + 1)**2
Let y(i) be the first derivative of 100/3*i**3 + 0*i - 5/2*i**4 + 42 - 60*i**2 - i**5. Factor y(f).
-5*f*(f - 2)**2*(f + 6)
Let f(i) = -7*i**4 + 230*i**3 - 15*i**2 - 659*i + 460. Let o(q) = -3*q**4 + 115*q**3 - 7*q**2 - 331*q + 230. Let w(t) = -4*f(t) + 9*o(t). Factor w(j).
(j - 1)**2*(j + 2)*(j + 115)
Let g = 3073/9 + -341. Let a(p) be the third derivative of 1/180*p**6 - 1/90*p**5 + g*p**3 + 0 + 10*p**2 + 0*p - 1/9*p**4. Determine t so that a(t) = 0.
-2, 1, 2
Factor 985*x + 125*x**2 - 5*x**3 + 580 - 1630*x + 1205*x.
-5*(x - 29)*(x + 2)**2
Let n = 74071 + -370347/5. Factor -4/5*y**5 + 0 + 8/5*y**2 + 4/5*y - n*y**4 + 0*y**3.
-4*y*(y - 1)*(y + 1)**3/5
Let c be -17*(1410/987 + (-212)/70). What is u in 28/5*u**4 - 16/5 - 16*u + 204/5*u**2 - c*u**3 = 0?
-1/7, 1, 2
Determine t so that -1164/13 + 8/13*t**5 - 3098/13*t - 1576/13*t**4 + 1180/13*t**2 + 4650/13*t**3 = 0.
-1/2, 1, 3, 194
Let b(r) be the first derivative of -4*r**3/3 - 27*r**2/2 + 3*r - 156. Let y(v) = -25*v**2 - 190*v + 20. Let t(f) = 20*b(f) - 3*y(f). Factor t(d).
-5*d*(d - 6)
Suppose 0 = -5*d - 2*q - 14, 36 = -4*d - 3*q + 8. Solve -46/7*s**3 + 58/7*s**d - 8/7 + 2*s**5 - 10/7*s**4 - 8/7*s = 0.
-2, -2/7, 1
Let b be -2*(2 + (0 - 9)). Suppose 73*r = -61 + 572. Determine k so that -4 + 3*k - 610*k**2 - b*k**3 + 612*k**2 + 2*k**4 + 4*k**5 + r*k = 0.
-2, -1, 1/2, 1
Let p = -1126 - -1130. Let d be (-6 - 90/(-16))/(p/(-32)). Suppose -1/2*w**2 + d*w - 9/2 = 0. What is w?
3
Suppose 0*b = -2*b + 54. Let m = 88 - 57. Solve -2 - t**2 + b*t - m*t - t**2 = 0 for t.
-1
Let b(h) be the third derivative of h**8/131040 + 5*h**7/6552 - h**5/20 + h**3/6 - 169*h**2. Let q(u) be the third derivative of b(u). Factor q(x).
2*x*(x + 25)/13
Let q(m) = -5*m - 159 - 3*m - m**2 + 132. Let t(k) = k**2 + 7*k + 26. Let r(n) = -4*q(n) - 3*t(n). Let r(f) = 0. What is f?
-6, -5
Let d be 4/6 + 399/171. Let b be 1/(-3)*(-18)/3. Find l, given that -34*l**b - d*l + 40 + 47*l + 38*l**2 = 0.
-10, -1
Let g(p) be the second derivative of 0 - 1/15*p**4 + 6*p + 0*p**2 + 2/5*p**3. Suppose g(s) = 0. Calculate s.
0, 3
Let z(l) = l**3 + l**2 - 5*l + 7. Let i be z(-3). Suppose 1 = -k + i. Factor -k*m**4 + m**4 - 4*m**2 + 8*m**3 - m**4.
-m**2*(m - 2)*(3*m - 2)
Let m = 33/35 + -1/7. Suppose -6*v + 36 = -3*k, -16*k + 21*k - v - 3 = 0. Factor -2/5*h**k + 0 - m*h.
-2*h*(h + 2)/5
Let i(g) = -g**3 + 9*g**2 - 14*g - 1. Let j be i(3). Suppose -3*p - j + 26 = 2*l, p - 12 = -3*l. Factor 6/7*s**4 - 6/7*s**2 - 3/7*s + 0*s**l + 0 + 3/7*s**5.
3*s*(s - 1)*(s + 1)**3/7
Suppose 3*k - 5*t + 13 - 363 = 0, 2*t = -2*k + 212. Suppose -k = -21*h - h. Factor 0*q**4 + 1/5*q**h - 2/5*q**2 + 0 - 3/5*q**3 + 0*q.
q**2*(q - 2)*(q + 1)**2/5
Let q = -164973/2 + 82497. Let 3/2*g**4 + 12*g**2 + 24*g + 0 - q*g**3 = 0. What is g?
-1, 0, 4
Suppose 29 = 7*v + 7*v + 1. Let n(k) be the first derivative of -1/2*k**v - 1/2*k**3 - 1/8*k**4 + 1 + 0*k. Find a, given that n(a) = 0.
-2, -1, 0
Factor -256585 + 3*k**2 + 256585 - 48*k.
3*k*(k - 16)
Let x(q) = -q**3 - 3*q**2 - 2*q + 3. Let w be x(-2). Let s be w - -1*(-44)/(-12). Determine a so that 14*a**2 - 28/3*a - 8/3 + 23/3*a**3 - 3*a**5 - s*a**4 = 0.
-2, -2/9, 1
Let z(m) = -m**3 - 7*m**2 - 23*m - 86. Let t be z(-5). Let u be -7 - t/((-15)/(-5)). Factor -1/2*y**2 + 0 + u*y.
-y**2/2
Let v = 115 - 203. Let j be 3/(-12) + v/32 + 5. Suppose 1/2*t**4 + 1/2*t**j + 0*t + t**3 + 0 = 0. Calculate t.
-1, 0
Let k(z) be the first derivative of 4*z**3/3 - 286*z**2 + 1128*z + 594. Determine b so that k(b) = 0.
2, 141
Let o = 266743/3 + -88914. Factor -5/6*j + o*j**2 - 1 + 1/6*j**3.
(j - 2)*(j + 1)*(j + 3)/6
What is r in 1440*r**2 + 181*r**4 - 687*r**3 - 894*r - 55*r**4 - 160*r**5 + 432 - 414*r + 157*r**5 = 0?
1, 2, 36
Factor -1/2*a**4 - a**2 - 7/2*a**3 + 20*a + 0.
-a*(a - 2)*(a + 4)*(a + 5)/2
Let i(y) be the third derivative of -y**8/224 - y**7/5 - 99*y**6/40 - 27*y**5/2 - 513*y**4/16 - 1450*y**2. Solve i(g) = 0.
-19, -3, 0
Let d = 39485 - 39485. Find n such that 4/5*n - 1/5*n**2 + d = 0.
0, 4
Let s = 1427/4404 - -34/367. Let z(i) be the third derivative of 0*i - 1/4*i**5 - 4*i**2 - s*i**4 + 5/6*i**3 + 0. Find a such that z(a) = 0.
-1, 1/3
Let s(x) be the second derivative of 1/210*x**5 + 0 + 1/42*x**4 + 1/21*x**3 - 26*x - 2*x**2. Let v(d) be the first derivative of s(d). Solve v(z) = 0.
-1
Factor -28*b**2 - 117*b + 195 + 27 - 31*b**2 + 85*b**2 - 23*b**2.
3*(b - 37)*(b - 2)
Factor 497*r - 34015*r**2 + 331*r + 33971*r**2 + 193 - 41.
-4*(r - 19)*(11*r + 2)
Let l(c) be the first derivative of 3/2*c**4 - 15 + 0*c - c**3 + 3/5*c**5 - 3*c**2. Suppose l(j) = 0. Calculate j.
-2, -1, 0, 1
Let i(h) = 18*h - 51. Let j be i(5). Let o be (1 + -1)*j/390. Find x such that o*x + 0 + 2*x**3 + 2/3*x**2 = 0.
-1/3, 0
Let o(a) be the first derivative of 0*a**2 + 1/1980*a**6 + 0*a - 13*a**3 - 1/330*a**5 + 41 - 1/44*a**4. Let m(d) be the third derivative of o(d). Factor m(u).
2*(u - 3)*(u + 1)/11
Let a(w) be the second derivative of 0 - 1/6*w**6 + 0*w**2 + 5/42*w**7 + 0*w**4 + 0*w**5 + 0*w**3 + 111*w. Solve a(c) = 0 for c.
0, 1
Let k be (-6)/(-2)*6/6. Suppose -45*o + 25*o + 40 = 0. Find n, given that 12/5*n**o + 4/5*n**k + 4/5 + 12/5*n = 0.
-1
Let k(b) = 3*b**4 + 116*b**3 + 16*b**2 - 478*b - 21. Let z(n) = n**4 + 58*n**3 + 8*n**2 - 238*n - 9. Let g(q) = 6*k(q) - 14*z(q). Factor g(w).
4*w*(w - 29)*(w - 2)*(w + 2)
Let p(n) be the first derivative of 9 - 3/110*n**5 + 0*n**2 + 0*n**3 + 2/11*n**4 - 2*n. Let g(b) be the first derivative of p(b). Factor g(k).
-6*k**2*(k - 4)/11
Let p(r) be the third derivative of r**7/70 + 11*r**6/40 - 58*r**5/5 + 55*r**4/2 + 4*r**2 + 17*r. Let p(q) = 0. What is q?
-22, 0, 1, 10
What is c in -114/5*c**3 + 273/5*c**2 + 144*c - 324/5 - 3*c**4 = 0?
-9, -2, 2/5, 3
Let c = 22688 + -22685. Suppose -3/7*i**c - 3/7*i**2 + 15/7*i - 9/7 = 0. What is i?
-3, 1
Let d(c) be the first derivative of c**4/30 - 46*c**3/45 + 91*c**2/15 + 338*c/5 + 3493. Determine m, given that d(m) = 0.
-3, 13
Let i = 55 + -52. Let j(x) = -x + 7. Let t be j(i). Factor -v + 5*v + 4*v - 2*v**3 + 3*v**2 + v**2 - v**t.
-v*(v - 2)*(v + 2)**2
Let h be -7 - (-3 - (-148)/36 - (-33512)/(-2556)). Suppose -1/3*p**h - 11*p**3 + 0 + 10/3*p**4 - 16/3*p + 40/3*p**2 = 0. Calculate p.
0, 1, 4
Let j(h) = -4*h**2 + 2*h + 6. Let y(i) = i**2 + 37 + 48 - 86. Let p(s) = j(s) + 5*y(s). Determine b, given that p(b) = 0.
-1
Let r be 814/17 - 8/(-68). Let t = r - 45. Let -30*f - 19*f + t*f**3 + 9*f**2 + 37*f = 0. What is f?
-4, 0, 1
Let j(m) = m**3 - 6*m**2 + 4*m - 4. Let r be j(2). Let i = 16 + r. Factor -i*l**2 + 16 - 3*l + 2*l - 8 - 3*l.
-4*(l - 1)*(l + 2)
Let u(p) = -9*p + 326. Let o be u(36). Factor -4*g + 152 - 114*g**o + 110*g**2 + 90*g - 18*g.
-4*(g - 19)*(g + 2)
Find c such that 5*c**2 + 243*c + 180 - 644*c + 301*c = 0.
2, 18
Suppose 0*r - 63 = -7*r. Let n = 11 - r. Solve 168*s**3 + s**4 - 170*s**3 + 3*s**2 - 2*s**n = 0 for s.
0, 1
Factor 34/15*j**2 + 2/5 + 8/3*j.
2*(j + 1)*(17*j + 3)/15
Let q(u) be the third derivative of u**5/60 - 13*u**4/8 - 21*u**3 + 2*u**2 + 491*u. Factor q(p).
(p - 42)*(p + 3)
Let m be -2*((-6)/24 - (-21)/(-12)). Solve -9*j**5 - 297 + 201 + 96*j + 84*j**m - 68*j**3 - 169*j**3 + 162*j**2 = 0 for j.
-2/3, 1, 4
Let v(a) be the third derivative of 16/3*a**3 + 5/6*a**6 + 0*a - 8/35*a**7 + 0 - 1/12*a**8 + 33*a**2 - 6*a**4 + 22/15*a**5. Let v(t) = 0. Calculate t.
-2, 2/7, 1
Let x(z) = 14*z**3 - 466*z**2 + 1146*z - 320. Let b(m) = -4*m**3 - 6*m. Let v(k) = -5*b(k) - x(k). Factor v(t).
2*(t - 2)*(t + 80)*(3*t - 1)
Let v(d) = -d**3 - 57*d**2 + 604*d + 665. Let t be v(-66). Solve -16/3*u**2 + 0 + 16/3*u**4 + 0*u - 2/3*u**t + 2/3*u**3 = 0 for u.
-1, 0, 1, 8
Suppose 1 = -2*k + 7. Let l be 12/34 - 16344/(-19295). Factor 9/5*o**2 - l*o - 4/5 - 1/2*o**k.
-(o - 2)**2*(5*o + 2)/10
Let m(p) be the first derivative of 4*p**3/3 - 2084*p**2 - 3766. Solve m(g) = 0.
0, 1042
What is y i