 - 1278)*(f - 1)/3
Let n be 14*((-60)/(-21))/2. Let w = n + -18. Let q(t) = -t**2 + t - 1. Let s(d) = 4*d**2 + 5. Let y(x) = w*s(x) + 6*q(x). Factor y(l).
2*(l + 1)*(l + 2)
Let w(z) = 9*z - 203. Let f be w(23). Factor -26*h - 12 - 32*h**3 - h**f + 24*h**3 - 2*h - 23*h**2.
-(h + 1)*(h + 2)**2*(h + 3)
Let t be 10 + -4 + -10 + (82 - -12). Let t*p**3 + 39/2*p**4 + 96*p + 0 + 3/2*p**5 + 168*p**2 = 0. What is p?
-4, -1, 0
Let j be ((-17)/((-595)/(-12292)))/((-2)/5). Suppose 2641 = 17*d - j. Factor 10976 + 168*a**2 + 211*a**3 + 1179*a - d*a**3 - 165*a + 1338*a.
4*(a + 14)**3
Let x(a) = -1 + 24*a**3 - a**2 - 16*a**3 - 7*a**3. Let n(i) = 4*i**3 + 16*i**2 - 38*i + 12. Let k(f) = -n(f) + 6*x(f). Factor k(r).
2*(r - 9)*(r - 1)**2
Let p(c) be the third derivative of -c**5/135 - 578*c**4/27 - 668168*c**3/27 + 18*c**2 - 18. What is i in p(i) = 0?
-578
Suppose 10*u + 148/7 - 2/7*u**2 = 0. What is u?
-2, 37
Let r be 4/34 + (100/(-275) - 840/(-374)). Let 2 + 1/4*f**r + 9/4*f = 0. What is f?
-8, -1
Suppose 4*c - 23 = -l, -31*l = -5*c - 35*l + 37. Let v be (-2 + 2)/(4/(-5 - -1)). Determine s so that 53/4*s**4 + 21/4*s**3 - 1/4*s - 5/4*s**2 + v + 7*s**c = 0.
-1, -1/7, 0, 1/4
Find m such that 74420*m + 32428*m**3 + 147620*m**2 - 5*m**5 + 39557*m**3 + 10*m**5 - 908*m**4 - 302*m**4 = 0.
-1, 0, 122
Let c = 233 + -231. Let d be c/14*-2 + 360/1260. What is f in 0*f**2 + d + 4/9*f - 4/9*f**3 = 0?
-1, 0, 1
Let m be 668/132 - (12 + -6). Let k = m - -659/561. Factor 10/17*b**3 - k*b**4 + 0 + 2/17*b - 8/17*b**2.
-2*b*(b - 1)**2*(2*b - 1)/17
Let r be ((-260)/(-416)*((-4)/6)/1)/(5/(-400)). Find d, given that r*d + 20/3*d**2 + 0 + 1/3*d**3 = 0.
-10, 0
Suppose 3*c - 6 = 3*m, -40 = -5*m - 2831*c + 2826*c. Let 3/4*d - 9/4*d**m + 0 + 1/2*d**5 - 3/4*d**4 - 1/4*d**2 = 0. Calculate d.
-1, 0, 1/2, 3
Let w(x) be the first derivative of -4*x**3/3 - 718*x**2 - 1432*x + 983. Factor w(j).
-4*(j + 1)*(j + 358)
Let s(b) be the first derivative of 0*b**2 - 90 - b**4 - 40/3*b**3 + 0*b. Determine y so that s(y) = 0.
-10, 0
Let y(d) be the third derivative of 3 - 1/165*d**7 - 7/33*d**4 + 3/110*d**6 + 12*d**2 + 3/110*d**5 + 0*d - 4/11*d**3. Let y(i) = 0. What is i?
-1, -3/7, 2
Let g(p) be the first derivative of 42*p - 211 + p**3 - 27/2*p**2. Suppose g(s) = 0. Calculate s.
2, 7
Let t(o) = 4*o**2 - 17*o + 17. Let b be t(1). Factor 0*x**4 - x**4 + 0*x**4 - 5*x**b + 22*x**3.
-2*x**3*(3*x - 11)
Let x(o) be the second derivative of -o**7/14 + 5*o**6 + 3663*o. Factor x(i).
-3*i**4*(i - 50)
Suppose -27 = -12*f + 33. Solve -161*x + 3*x**f - 154 + 162*x**2 - 575 - 9*x**4 - 54*x**3 + 404*x = 0.
-3, 3
Let x be (0/3*(-18 + 37)/(-95))/10. Factor -1/3*d**5 + x + 4/3*d**4 + 0*d + 2/3*d**2 - 5/3*d**3.
-d**2*(d - 2)*(d - 1)**2/3
Let n(t) = 2*t**2 + 2*t + 2. Let m(k) = k**2 + 13*k - 14. Let s be m(-14). Let u be n(s). Factor 2*v + 1 - 7 - 2*v**3 + 6*v**u + 1 - 1.
-2*(v - 3)*(v - 1)*(v + 1)
Let h(i) be the second derivative of -8/21*i**3 + 160*i - 16/7*i**2 + 0 + 1/6*i**4 - 1/70*i**5. Factor h(s).
-2*(s - 4)**2*(s + 1)/7
Let r = -544405/7 - -77775. Factor 16/7*j - 4/7*j**2 + r.
-4*(j - 5)*(j + 1)/7
Suppose -114*o = -119*o + 80. Suppose -14*p + o*p = -4*c - 12, 0 = -3*c - 15. Find r, given that 6/5*r**3 - 2*r**p + 2/5*r**5 + 0 - 8/5*r + 2*r**2 = 0.
-1, 0, 1, 4
Let c(l) = -264*l - 16365. Let r be c(-62). Let x(f) be the first derivative of -1/16*f**4 - 49 + 0*f**2 + 1/3*f**r + 0*f. Factor x(m).
-m**2*(m - 4)/4
Let g(y) = 2*y**3 + 5*y**2 - y + 5. Let r be g(-4). Let v = r + 54. Factor -3*j**3 + 10*j**2 - 12*j - 5*j**3 + 2*j**4 - 7*j + v*j.
2*j*(j - 2)*(j - 1)**2
Suppose 13 - 11 = 2*c + 2*r, -r + 6 = 2*c. Let w(f) be the second derivative of 0*f**2 - 3/4*f**c + f**4 + 0 - 16*f + 1/2*f**3. Let w(j) = 0. Calculate j.
-1/5, 0, 1
Let s(w) be the second derivative of -w**5/270 - 46*w**4/27 - 8464*w**3/27 + 197*w**2/2 - 205*w. Let v(a) be the first derivative of s(a). Solve v(b) = 0 for b.
-92
Let s = 539749/809619 - 1/269873. Let s + 4/3*j**2 - 16/9*j + 0*j**3 - 2/9*j**4 = 0. What is j?
-3, 1
Let h(r) be the first derivative of -2*r**5/25 - r**4/10 + 8*r**3/5 - 4*r**2/5 - 32*r/5 - 1228. Determine f so that h(f) = 0.
-4, -1, 2
Suppose 0 = 4*y + 20*x - 21*x + 3749, -1885 = 2*y + 3*x. Let r = y - -3755/4. Factor -1/4*q**5 + 6 + 17/2*q**2 + r*q**3 + 13*q - q**4.
-(q - 3)*(q + 1)*(q + 2)**3/4
Let b(x) = 2*x + 19. Suppose 0 = 20*d - 16*d + 32. Let h be b(d). Factor 0 + 38*u - 8*u**2 - u**h - 3 - 51*u - 3.
-(u + 1)**2*(u + 6)
Let y be ((-18)/(-63))/((-345)/525 - 8/(-10)). Find t such that 8/9*t - 8/9 - 2/9*t**y = 0.
2
Let n(o) be the third derivative of 3*o**7/140 - 41*o**6/80 + 23*o**5/60 + 28*o**4/3 - 104*o**3/3 - 173*o**2 - 10*o. Find u, given that n(u) = 0.
-2, 4/3, 13
Let g be 121/396 - ((-376)/96 - -4). Let -g*r**3 - 4/9*r + 0 - 2/3*r**2 = 0. Calculate r.
-2, -1, 0
Find o, given that -1191/2*o**4 + 19199*o**3 + 9/2*o**5 + 33199*o**2 + 4489/2 + 31289/2*o = 0.
-1, -1/3, 67
Let y(h) = -h**3 + 11*h**2 + 123*h - 17. Let p be y(-7). Let i(r) be the third derivative of 0*r**3 + 0*r**p + 11*r**2 + 0 - 1/90*r**5 + 0*r. Factor i(t).
-2*t**2/3
Let d(f) be the second derivative of -f**4/126 - 2*f**3/3 + 88*f**2/21 + f + 190. Factor d(m).
-2*(m - 2)*(m + 44)/21
Let i(d) be the first derivative of -3/2*d**5 - 1/3*d**3 + 33/4*d**2 + 1/12*d**6 - 17/4*d**4 + 34 + 17/2*d. Let i(m) = 0. What is m?
-1, 1, 17
Suppose -1/8*m**3 - 221/8*m - 42 + 57/4*m**2 = 0. What is m?
-1, 3, 112
Let x be (-1265)/(-161) + 188/987*1*-3. Find f, given that -15/7*f - 48/7*f**2 + x*f**3 + 12/7*f**4 + 0 = 0.
-5, -1/4, 0, 1
Let d(n) be the first derivative of -n**4/18 + 50*n**3/27 - 41*n**2/3 + 38*n + 1635. What is a in d(a) = 0?
3, 19
Let k(o) be the second derivative of o**7/5040 - o**6/80 + 27*o**5/80 - 61*o**4/12 - o**3/6 + 167*o. Let z(h) be the third derivative of k(h). Factor z(c).
(c - 9)**2/2
Let w be (2/(-42))/(-26 - (-2921)/115). Let k(c) be the third derivative of -c**2 - 1/63*c**4 + 1/630*c**5 + 0 + 0*c - w*c**3. Factor k(a).
2*(a - 5)*(a + 1)/21
Let q(i) be the first derivative of i**6/15 + 476*i**5/25 + 18717*i**4/10 + 189152*i**3/3 - 216320*i**2 - 614400*i - 672. Find y, given that q(y) = 0.
-80, -1, 3
Suppose -5*a + 155 = -10. Let h = -31 + a. Determine o so that -16*o**h - 6*o + 4 - 2*o - 4*o = 0.
-1, 1/4
Factor -24805 + 16125*w - 259*w**2 + 23*w**2 - 16*w**2 - 2*w**3 - 6445 + 3*w**3.
(w - 125)**2*(w - 2)
Let g(v) be the second derivative of 6*v**2 - 1/14*v**7 - 6/5*v**5 + 9/2*v**3 + 1/2*v**4 + 0 - 3/5*v**6 - 8*v. Factor g(y).
-3*(y - 1)*(y + 1)**3*(y + 4)
Let c be 159/((-51)/18 + 3). Suppose -12*j**2 - j - c*j**5 + 9*j + 12*j**4 + 950*j**5 - 4*j**3 = 0. Calculate j.
-1, 0, 1, 2
Let m(i) be the first derivative of 3*i**5/100 - 9*i**4/20 - i**3/10 + 27*i**2/10 - 264*i + 193. Let g(f) be the first derivative of m(f). Factor g(d).
3*(d - 9)*(d - 1)*(d + 1)/5
What is v in -112/3 - 1784/3*v - 7852/3*v**2 + 150*v**4 - 1910*v**3 = 0?
-1, -2/15, 14
Let x = 44 - 67. Let n = -12 - x. Factor 3 + n*y**2 - 19*y**2 + 5*y**2.
-3*(y - 1)*(y + 1)
Suppose 0 = c - 4*q + q + 1, 3*c - q = -3. Let p be (-1)/(c/5) - 0. Factor -5*r**5 + 100*r**2 - 5*r**5 - 18*r + 35*r**4 - 90*r**3 + p*r**5 - 22*r.
-5*r*(r - 2)**3*(r - 1)
Let t(n) be the third derivative of 29791*n**6/72 + 12493*n**5/12 + 26195*n**4/24 + 10985*n**3/18 + 132*n**2. Suppose t(g) = 0. Calculate g.
-13/31
Let l(h) be the third derivative of h**8/1680 + 3*h**7/175 + 17*h**6/600 - 881*h**2. Factor l(i).
i**3*(i + 1)*(i + 17)/5
Suppose -11*x - 3 = -12*x. Find p such that 6*p + p**x + 14*p**2 - 7*p**3 - 10*p**4 + 30 - 34 = 0.
-1, 2/5, 1
Factor -348/11*q + 15138/11 + 2/11*q**2.
2*(q - 87)**2/11
Let n = 237015 - 1659101/7. Suppose 2*a**4 - 2/7*a + n*a**3 - 4*a**2 - 2/7*a**5 + 2 = 0. What is a?
-1, 1, 7
Let x be ((7344/(-255))/36)/((-7)/((-35)/(-2))). Factor -2/3*t**x + 17*t - 25/3.
-(t - 25)*(2*t - 1)/3
Let r(x) be the first derivative of 2*x**5/55 + 51*x**4/22 - 2*x**3/11 - 155*x**2/11 - 204*x/11 - 4712. Solve r(d) = 0.
-51, -1, 2
Suppose 4*q = -5*k + 76 - 25, 2*q - 5*k = -27. Let h = 291 + -1447/5. Factor 0 + 2/5*v**q + 2*v**2 + 4/5*v + h*v**3.
2*v*(v + 1)**2*(v + 2)/5
Let -1/4*b**2 - 41/2*b + 42 = 0. What is b?
-84, 2
Let v(x) be the first derivative of x**2 + 71 - 8/3*x - 1/12*x**4 + 1/3*x**3. Factor v(a).
-(a 