 Let r(d) = -10*d**2 + 166*d + 200. Let t(s) = -6*l(s) + 7*r(s). Find f, given that t(f) = 0.
-1, 44
Suppose 56 = 2*j + s, 2*j - 56 = s + 3*s. Let v be ((-18)/105)/((-4)/j). Factor 0*g**3 + 0 + 9/5*g**2 - 3/5*g**4 + v*g.
-3*g*(g - 2)*(g + 1)**2/5
Let g be 12*((-2)/3 + 0). Let v(j) = j**2 + 9*j + 8. Let m be v(g). Suppose -1/3*z**4 + 2/3*z**2 + m*z**3 + 0*z - 1/3 = 0. Calculate z.
-1, 1
Suppose 0 = 641*w - 613*w. Suppose 0*a**2 + 4/5*a**5 - 8/5*a**3 + w + 0*a + 4/5*a**4 = 0. Calculate a.
-2, 0, 1
Let a(h) be the second derivative of -2/5*h**6 - 2/21*h**7 + h**4 + 4/3*h**3 - 1/5*h**5 + 0*h**2 + 18*h + 0. Determine t, given that a(t) = 0.
-2, -1, 0, 1
Let t(z) be the second derivative of -z**4/32 - 71*z**3/16 - 331*z. Find p, given that t(p) = 0.
-71, 0
Let v = 2/2439 + 7207/134145. Let u(n) be the second derivative of 2/11*n**4 + 0 + 0*n**2 - v*n**5 + 1/165*n**6 - 8/33*n**3 + 3*n. Factor u(m).
2*m*(m - 2)**3/11
Factor 327 + 9/2*a**2 - 987/2*a.
3*(a - 109)*(3*a - 2)/2
Let z = 197/3 + -58. Let k = z - 7. Factor 0 - 5/3*y**2 - k*y.
-y*(5*y + 2)/3
Let j(k) be the third derivative of -k**6/1020 + k**5/510 + k**4/102 - 40*k**2. Factor j(r).
-2*r*(r - 2)*(r + 1)/17
Let g(o) be the second derivative of -o**4/132 + 17*o**3/66 + 9*o**2/11 + 6*o + 21. Factor g(a).
-(a - 18)*(a + 1)/11
Let a(g) be the first derivative of 16/3*g + 2*g**2 - 4/9*g**3 + 14. Factor a(n).
-4*(n - 4)*(n + 1)/3
Let m = 235 + 94. Let s = m - 327. Factor -1/2*z**5 + 0 + 0*z**s - 1/2*z**4 + 0*z + 0*z**3.
-z**4*(z + 1)/2
Let v(g) = g**3 + 5*g**2 + 4*g + 4. Let t be v(-4). Let w be 1 - (-2)/t*4. Factor -1/2*u**w + 0*u + 0 - 1/2*u**2.
-u**2*(u + 1)/2
Let i(r) = 4*r**3 - r**2 - 13*r + 14. Let j be i(1). Let g(o) be the third derivative of 6*o**2 + 0*o + 1/12*o**3 + 0 + 0*o**j - 1/120*o**5. Factor g(z).
-(z - 1)*(z + 1)/2
Suppose -4*z = -7*z + 6. Suppose -z*k + 3*k = 3. Find l, given that 0*l + 2*l + k*l**3 - 5*l + 0*l = 0.
-1, 0, 1
Let z be 37708/28 + (-10)/(-35). Factor -4*k**2 - 1347 + z - 8*k.
-4*k*(k + 2)
Let v(r) = -r**2 + 10*r - 9. Let p(k) = -3*k**3 - 2*k**2 + k. Let i be p(1). Let s(a) = a**2 - 9*a + 9. Let j(o) = i*s(o) - 3*v(o). Find y, given that j(y) = 0.
3
Suppose -38 = 77*c - 96*c. Solve d + 2*d**3 + 5/2*d**c + 0 + 1/2*d**4 = 0.
-2, -1, 0
Let b(l) be the first derivative of -2*l**3/3 - l**2 + 4*l + 50. Factor b(i).
-2*(i - 1)*(i + 2)
Suppose 10*d = 14*d + 316. Let m = 79 + d. Factor 0*y**2 - 1/3*y**3 + 0 + m*y.
-y**3/3
Let h = -75/58 - -81/29. Factor -9/2*m - 9/2*m**2 - h - 3/2*m**3.
-3*(m + 1)**3/2
Let r(z) be the third derivative of 18*z**2 - 1/160*z**6 - z**3 + 1/8*z**4 + 0*z + 0 + 1/40*z**5. Factor r(i).
-3*(i - 2)**2*(i + 2)/4
Let r(n) be the third derivative of 63*n**8/32 + 24*n**7/5 - 619*n**6/80 - 643*n**5/60 - 47*n**4/12 - 2*n**3/3 + 18*n**2. Solve r(z) = 0.
-2, -1/3, -2/21, 1
Let k(n) be the first derivative of n**6/27 - 2*n**5/45 - 7*n**4/6 + 82*n**3/27 - 20*n**2/9 - 299. What is q in k(q) = 0?
-5, 0, 1, 4
Let r(c) = 5*c**2 + 193*c + 125. Let q be r(-38). Let z(n) be the first derivative of 0*n - q + 1/2*n**4 - 4/3*n**3 + 0*n**2. Find t, given that z(t) = 0.
0, 2
Solve -1/2 + 11/4*n + 3/2*n**2 = 0 for n.
-2, 1/6
Suppose 4*i + 0 = 8. Let 30*h - h**i + 45 + 2*h**2 + 4*h**2 = 0. Calculate h.
-3
Let y(w) be the third derivative of w**8/23520 - w**6/2520 - 13*w**4/24 + 6*w**2. Let q(k) be the second derivative of y(k). Factor q(d).
2*d*(d - 1)*(d + 1)/7
Let u(m) = -2*m**3 + 19*m**2 - 14*m + 5. Let f be u(9). Let n be 6/(-44)*f/30. Find o, given that -6/11*o**2 - 6/11*o**3 - 2/11*o**4 - n*o + 0 = 0.
-1, 0
Let s = 340093/7 + -48571. Factor 4/7*j**4 + 176/7*j + s + 120/7*j**2 + 36/7*j**3.
4*(j + 2)**3*(j + 3)/7
Let z(r) = -33*r - 1714. Let g be z(-52). Suppose i + 1 + 1/4*i**g = 0. Calculate i.
-2
Let p = 740 - 3699/5. Let m(g) be the first derivative of 5 - 1/2*g + 5/8*g**2 + p*g**5 - 1/24*g**6 - 1/6*g**3 - 1/4*g**4. Find t, given that m(t) = 0.
-1, 1, 2
Let b(y) = -2*y**3 + 12*y**2 + 7*y + 51. Let k be b(7). Let 2/11*a**3 + 0*a**k + 0*a + 6/11*a**5 - 8/11*a**4 + 0 = 0. Calculate a.
0, 1/3, 1
Let h(z) = z**3 - 8*z**2 + 2*z + 20. Let d(x) = -x - 1. Let a(g) = 4*d(g) + h(g). Let c be a(8). Solve c + 4/7*n + 2/7*n**2 = 0.
-2, 0
Let o(y) = 2*y**3 + 4*y**2 - 13*y - 11. Let s(l) = 2*l**3 + 4*l**2 - 14*l - 10. Let g(m) = 6*o(m) - 5*s(m). Find w, given that g(w) = 0.
-2, 2
Let u(i) = -i**2 + 9*i - 1. Let g be u(6). Let -19*t - 3*t**4 + 2*t**4 + 38*t - 5*t**2 + 4*t**3 - g*t = 0. What is t?
0, 1, 2
Let k(r) be the third derivative of -r**6/280 - 29*r**5/140 + r**4/56 + 29*r**3/14 - 39*r**2. Factor k(l).
-3*(l - 1)*(l + 1)*(l + 29)/7
Determine p, given that 0*p + 1/3*p**5 + 1/6*p**2 - 1/2*p**4 + 0 + 0*p**3 = 0.
-1/2, 0, 1
Let u(n) be the third derivative of 0*n - 578/3*n**3 - 10 - 3*n**2 + 17/3*n**4 - 1/15*n**5. Factor u(p).
-4*(p - 17)**2
Let b be 213/(-18)*-2 - 22. Factor -4/3*n + b - 1/3*n**2.
-(n - 1)*(n + 5)/3
Let q(i) be the second derivative of -i**7/84 + i**6/20 + i**5/10 - 2*i**4/3 + 4*i**2 - 86*i. Find r, given that q(r) = 0.
-2, -1, 2
Suppose -25 = -3*p - 19. Factor 22*c - 2 - 28*c + 6*c**3 - p + 2*c**2 + 2*c**4.
2*(c - 1)*(c + 1)**2*(c + 2)
Let j = -21 + 24. Let -35*g**5 - 18*g**3 - 17*g**j + 20*g - 80*g**2 + 125*g**4 + 95*g**5 = 0. Calculate g.
-2, -1, 0, 1/4, 2/3
Let x = -107 - -274. Let y = x + -1835/11. Factor y*v**2 - 4/11*v + 0.
2*v*(v - 2)/11
Let z = 6 - 4. Suppose 0 = -2*x + 9 - 3. Factor -x*y - 3*y**3 + y - 6*y + 9*y**2 + z*y.
-3*y*(y - 2)*(y - 1)
Suppose 2*x - 19 = -3*x - z, 0 = 2*x - 4*z - 12. Let b be ((-1)/(-3 - -4))/(x/(-20)). Factor 0*d**2 + 1/4*d**b + 1/4*d + 0 + 0*d**4 - 1/2*d**3.
d*(d - 1)**2*(d + 1)**2/4
Let a(q) = 5*q**3 + 66*q**2 - 3*q - 66. Let z(h) = -6*h**3 - 66*h**2 + 3*h + 66. Let s(n) = 3*a(n) + 2*z(n). Factor s(y).
3*(y - 1)*(y + 1)*(y + 22)
Factor 3451*d - 27*d**2 + 60 + 3493*d - 6908*d - 3*d**3.
-3*(d - 2)*(d + 1)*(d + 10)
Let f(x) be the second derivative of x**6/360 + x**5/40 + x**4/12 + 2*x**3 - 11*x. Let a(d) be the second derivative of f(d). Factor a(l).
(l + 1)*(l + 2)
Let j = -120938/3 - -40318. Factor -8/3*n**4 + j*n + 4/3*n**5 - 4*n**3 + 0 + 16/3*n**2.
4*n*(n - 2)**2*(n + 1)**2/3
What is c in -24/7 + 2/7*c**2 + 8/7*c = 0?
-6, 2
Let d(n) be the second derivative of -n**4/4 + 41*n**3 - 5043*n**2/2 + 60*n + 2. Find p, given that d(p) = 0.
41
Let l(b) be the third derivative of 5*b**8/336 + 5*b**7/21 + 31*b**6/24 + 13*b**5/6 - 35*b**4/6 - 100*b**3/3 - 137*b**2. What is w in l(w) = 0?
-5, -2, 1
Let x be ((-225)/1875)/(((-2)/10)/1). Let i(j) be the first derivative of 3 + 30*j**2 + 18*j**3 + 24*j + 21/4*j**4 + x*j**5. Determine o, given that i(o) = 0.
-2, -1
Factor 533*v + 15*v**3 + 4*v**5 - 5*v**4 - 9*v**5 + 25*v**2 + 0*v**4 - 523*v.
-5*v*(v - 2)*(v + 1)**3
Suppose 12/5*x**5 - 339*x - 507/5*x**2 + 63*x**3 + 90 + 129/5*x**4 = 0. What is x?
-5, -3, 1/4, 2
Let t(u) be the first derivative of -2*u**3/9 + 7*u**2/3 - 4*u + 99. Determine d so that t(d) = 0.
1, 6
Let x be (-930)/36*(-249)/10. Let f = 653 - x. Factor -3/4*j**5 - 9*j**2 - 9/2*j**4 - f*j**3 - 3*j + 0.
-3*j*(j + 1)**2*(j + 2)**2/4
Let h be (-3)/5 + (-8)/20. Let g be (-84)/14*(h + 1/2). Factor -16/9*j**2 + 4/9*j**4 + 2/9*j**5 - 4/9 - 4/9*j**g - 14/9*j.
2*(j - 2)*(j + 1)**4/9
Let z(j) = -6*j**4 + 2*j**3 - j**2 - 2*j + 7. Let v(s) = -s**4 + s**3 - s + 1. Let i(b) = -5*v(b) + z(b). Factor i(d).
-(d - 1)*(d + 1)**2*(d + 2)
Let h be (-208)/(-64) + 2/(-8). Let t(m) be the third derivative of 0*m + 1/90*m**5 + 0 + 1/180*m**6 - 1/36*m**4 + 7*m**2 - 1/9*m**h. Solve t(d) = 0 for d.
-1, 1
Suppose -3*a - 2*q = -a - 4, -q + 18 = 5*a. Factor -a*d**2 + 6*d - 2*d + 0*d + 8.
-4*(d - 2)*(d + 1)
Let n(a) be the second derivative of -a**6/150 - 9*a**5/20 + 23*a**4/30 - 3*a + 18. Find f, given that n(f) = 0.
-46, 0, 1
Suppose 0 = 4*b + 6 - 22. Let c(a) = 5*a**3 + 2*a**2 - 3*a + 4. Let p(l) = 0*l + 4 + 3 + 4*l**2 - 7*l + 11*l**3 + 2. Let w(x) = b*p(x) - 9*c(x). Factor w(j).
-j*(j + 1)**2
Let t(j) be the first derivative of 4*j**3/27 - 26*j**2/9 + 16*j/3 + 125. Find l, given that t(l) = 0.
1, 12
Let b be -4 - (8/12*-3 - 136). Let x be ((0 - 0) + 2)/1. Factor -122*m**2 + b*m**x + 2 + 27*m + 4.
3*(m + 2)*(4*m + 1)
Factor -36*l + 2583 - 18*l**2 - 2623 - 46*l.
-2*(l + 4)*(9*l + 5)
Let h(n) be the second 