tive of d**7/42 + d**6/6 - 3*d**5/10 - 11*d**4/6 + 37*d**3/6 - 15*d**2/2 + 118*d. Determine p, given that n(p) = 0.
-5, -3, 1
Let l(c) be the first derivative of 1 - 1/48*c**4 + 12*c + 0*c**2 + 1/8*c**3. Let w(v) be the first derivative of l(v). Suppose w(x) = 0. What is x?
0, 3
Let r = -8 + 4. Let o = 0 - r. Let n(p) = -9*p**2 - 15*p - 5. Let c(g) = 3*g**2 + 5*g + 2. Let j(z) = o*n(z) + 11*c(z). Factor j(h).
-(h + 2)*(3*h - 1)
Let m(f) be the second derivative of 5*f**4/48 + 29*f**3/12 - 3*f**2 + 32*f - 1. Determine v so that m(v) = 0.
-12, 2/5
What is k in -8/3*k**5 - 18*k - 133/3*k**2 - 20*k**4 - 8/3 - 142/3*k**3 = 0?
-4, -2, -1/2
Let t(r) = 7*r**3 - 157*r**2 - 1369*r - 3211. Let b(x) = 4*x**3 - 78*x**2 - 684*x - 1606. Let z(d) = -11*b(d) + 6*t(d). Let z(g) = 0. Calculate g.
-32, -5
Let j(x) = 0 + 1 + 1 - 272*x. Let w be j(-1). Let w*s**3 + 0 + 24 - 37*s**3 - 67*s**4 - 53*s**4 - 174*s**2 + 12*s + 21*s**5 = 0. What is s?
-2/7, 1, 2
Let u be (-2)/(-12) + 2/360*10. Let r(n) be the first derivative of -5/12*n**4 + 0*n**2 - u*n**3 + 0*n + 4. Determine c, given that r(c) = 0.
-2/5, 0
Let p = 65 + -62. Factor 3*r**5 + r**p - 6*r**4 + 0*r**3 + 3*r**3 - r**5.
2*r**3*(r - 2)*(r - 1)
Let y(s) be the first derivative of s**6/40 - 3*s**5/20 + 2*s**3 - s**2/2 + 29*s + 9. Let c(w) be the second derivative of y(w). Factor c(q).
3*(q - 2)**2*(q + 1)
Let i(u) = u**2 + 24*u - 31. Let y(z) = 26*z - 30. Let q(k) = -2*i(k) + 3*y(k). Factor q(f).
-2*(f - 14)*(f - 1)
Let v(y) be the first derivative of -9*y**4/26 + 274*y**3/13 + 560*y**2/13 + 376*y/13 - 92. Factor v(a).
-2*(a - 47)*(3*a + 2)**2/13
Let u be 43/14 + ((-2)/4)/((-141)/(-423)). Solve -6/7 + u*t - 5/7*t**3 + 12/7*t**2 = 0 for t.
-1, 2/5, 3
Let n(b) be the first derivative of 1/4*b**2 + 1/16*b**4 + 4 + 1/4*b**3 + 0*b. Factor n(o).
o*(o + 1)*(o + 2)/4
Let d be (-357)/(-84) + 1/(-4). Suppose 21*m = 23*m - d. Let 5/7*r - 2/7 - 4/7*r**3 + 4/7*r**4 - 1/7*r**5 - 2/7*r**m = 0. Calculate r.
-1, 1, 2
Let t(l) be the first derivative of -l**5 + 215*l**4/4 - 205*l**3 + 605*l**2/2 - 200*l - 635. Factor t(z).
-5*(z - 40)*(z - 1)**3
Let i(l) be the first derivative of 3*l**5/5 - 9*l**4/4 - 5*l**3 + 9*l**2/2 + 12*l - 616. Factor i(t).
3*(t - 4)*(t - 1)*(t + 1)**2
Suppose 9*h - 14 = 6*n + 7*h, -n + 5*h - 35 = 0. Solve n*b + 3 - 3/4*b**3 - 9/4*b**2 = 0 for b.
-2, 1
Factor i**2 - 65 - 3*i**2 - 820*i - 207 - 10*i**2.
-4*(i + 68)*(3*i + 1)
Let m(k) = -k**3 - k**2 + 1. Let j(a) = -50*a**4 - 215*a**3 - 357*a**2 - 264*a - 77. Let v(n) = j(n) + 5*m(n). Factor v(d).
-2*(d + 1)**2*(5*d + 6)**2
Let x = 32084/12439 + -14/1777. Solve 0 + x*m**2 - 12/7*m - 6/7*m**3 = 0.
0, 1, 2
Let i(o) be the first derivative of -o**7/210 + o**6/120 + 7*o**2/2 - 6. Let v(s) be the second derivative of i(s). Factor v(w).
-w**3*(w - 1)
Let u = -94 + 100. Let m(g) = 17*g**3 - 21*g**2 - 19*g - 13. Let k(c) = -8*c**3 + 10*c**2 + 10*c + 6. Let l(y) = u*m(y) + 13*k(y). Find s such that l(s) = 0.
-2, 0, 4
Let u(h) be the second derivative of -h**5/130 + 42*h**4/13 - 7056*h**3/13 + 592704*h**2/13 - h - 8. Solve u(y) = 0 for y.
84
Let x(h) be the first derivative of -h**4 - 4*h**3/3 + 24*h**2 + 151. Factor x(r).
-4*r*(r - 3)*(r + 4)
Let o(z) be the second derivative of -z**8/1680 + z**7/90 - 4*z**6/45 + 2*z**5/5 + 25*z**4/12 - 15*z. Let c(g) be the third derivative of o(g). Factor c(r).
-4*(r - 3)*(r - 2)**2
Solve 24/5*c**2 + 12/5*c**4 + 0 - 26/5*c**3 - 8/5*c - 2/5*c**5 = 0 for c.
0, 1, 2
Suppose -5*k + 5 = 3*u, 5*k + 9 - 4 = -u. Find q such that 5*q**2 - 6*q - 3*q**2 - u*q**2 - 3 = 0.
-1
Let q(l) be the first derivative of l**5/35 - 5*l**4/28 - l**3/3 + 5*l**2/14 + 6*l/7 - 308. Determine k, given that q(k) = 0.
-1, 1, 6
Let k be (-24)/20*(-5)/2 - (-1380)/(-460). Factor -2*i**3 - 2/3*i**5 + 0*i**2 - 8/3*i**4 + 0*i + k.
-2*i**3*(i + 1)*(i + 3)/3
Let x(g) be the third derivative of -g**6/60 - 41*g**5/10 - 1281*g**4/4 - 3721*g**3/3 + 237*g**2. Factor x(n).
-2*(n + 1)*(n + 61)**2
Let f = 2933 - 2929. Factor 1/2*a**2 + 8 - f*a.
(a - 4)**2/2
Let h(t) be the third derivative of -t**6/60 - 7*t**5/20 - 15*t**4/8 + 14*t**3/3 + 9*t**2 + 6*t. Factor h(s).
-(s + 4)*(s + 7)*(2*s - 1)
Let c(b) = b**2 + 10*b - 19. Let w be c(-13). Factor w + 16*d**2 - 12 - 8 - 16*d - 4*d**3.
-4*d*(d - 2)**2
Let c(z) be the third derivative of z**6/210 - 4*z**5/15 - z**4/42 + 8*z**3/3 - 5*z**2 - 4*z. Factor c(l).
4*(l - 28)*(l - 1)*(l + 1)/7
Let o be (-9)/(-12) - (-508)/(-4944). Let a = 2/103 + o. Suppose 0 - 2*x**3 + 2/3*x**4 + 4/3*x + 2/3*x**5 - a*x**2 = 0. What is x?
-2, -1, 0, 1
Let n(w) = -2*w**2 + w. Let j(z) = -z**4 + 15*z**3 - 51*z**2 + 70*z - 30. Let v(d) = -2*j(d) - 6*n(d). Factor v(s).
2*(s - 10)*(s - 3)*(s - 1)**2
Let r = 72 + -67. Factor -70*h**2 + 30*h**3 - 7 + 5*h**4 - 18 + 55*h - 5*h**r + 10.
-5*(h - 1)**4*(h + 3)
Let n be 1 + (-1 - 0) + 2. Let m(s) = -s - 6. Let p be m(-9). Factor -12*c**p - 5*c**5 - 6*c**4 + 6*c**3 + 3*c**5 - n*c**2 + 0*c**5.
-2*c**2*(c + 1)**3
Suppose -s + 6*s = -5*q, -5*s = q. Let w(t) be the second derivative of -1/165*t**6 - t + s*t**3 - 1/66*t**4 + 0*t**2 - 1/55*t**5 + 0. Factor w(a).
-2*a**2*(a + 1)**2/11
Let m(f) be the second derivative of -f**4/4 - 19*f**3/2 - 126*f**2 + 934*f. Factor m(r).
-3*(r + 7)*(r + 12)
Let x(f) be the first derivative of 5*f**4/48 + 5*f**3/24 - 5*f**2/4 - 11*f + 4. Let t(r) be the first derivative of x(r). What is p in t(p) = 0?
-2, 1
Let d(x) be the first derivative of -4/3*x**3 + 0*x + 1/2*x**4 + x**2 - 9. Factor d(r).
2*r*(r - 1)**2
Let n be (-1073)/(-148) - (5 + 2). Let a(p) be the second derivative of 1/16*p**4 + n*p**3 - 3/80*p**5 - p + 0*p**2 + 0. Find u such that a(u) = 0.
-1, 0, 2
Let u = 1185 - 1182. Find k, given that -2/3*k + 2/3*k**u - 2/3*k**2 + 2/3 = 0.
-1, 1
Let v be ((-36)/11)/((-21255)/15587). Solve 6/5*w**2 + 1/5*w**3 + 8/5 + v*w = 0 for w.
-2
Find c such that 0 - 2/5*c**2 + 8/15*c - 2/15*c**3 = 0.
-4, 0, 1
Suppose -d = 3*g - 6, 7*g - d = 2*g + 10. Find r such that r**3 + 125*r + 7*r**g - 121*r - 3*r**2 = 0.
-2, 0
Let l be ((-533)/65 + 8)*80/(-28). Suppose 8/7*s**3 + 0 + l*s + 18/7*s**2 - 30/7*s**4 = 0. What is s?
-2/5, -1/3, 0, 1
Let j(r) = -9*r - 30. Let q be j(31). Let d = q + 1241/4. Suppose 0 - 1/2*m - d*m**2 - 3/4*m**3 = 0. What is m?
-1, -2/3, 0
Let n(j) be the third derivative of j**7/16380 - j**6/1560 - j**4/2 - 5*j**2. Let f(i) be the second derivative of n(i). Let f(c) = 0. What is c?
0, 3
Suppose -b - 120 = -6*b. Factor 8 - 28 - 4*z**2 + b*z - 16.
-4*(z - 3)**2
Suppose -249/4 - 243/4*l**2 + 3/4*l**3 - 495/4*l = 0. What is l?
-1, 83
Suppose 6*g - 38 = -14. Suppose g*r - 2*r - 3 = x, -3*r + 9 = 0. Factor -3/2*y**4 + 0*y - 3/2 + 0*y**x + 3*y**2.
-3*(y - 1)**2*(y + 1)**2/2
Suppose 2/5*i**4 - 8/5*i - 16/5 + 2*i**3 + 12/5*i**2 = 0. What is i?
-2, 1
Let m(j) = -8*j + 75*j**2 - 85*j**2 - 4*j + 2*j - 2. Let o(a) = 39*a + 30*a**2 + 37*a**2 + 7 - 26*a**2. Let k(x) = -9*m(x) - 2*o(x). Let k(c) = 0. Calculate c.
-1, -1/2
Let d(u) = -3*u - 1. Let k be d(5). Let w = -14 - k. Factor -7*c - w + c**4 + 5*c**3 + 14*c + 6*c**2 + 3*c**2 + 4.
(c + 1)**3*(c + 2)
Suppose -i = 4*r - 29, 0 = -3*r - 5*i - 0*i + 9. Factor 0*m - r - 5*m - 5*m - 4*m + 2*m**3 - 4*m**2.
2*(m - 4)*(m + 1)**2
Let r be ((-208)/910)/((-4)/10). Factor 2/7*x**3 + 10/7*x - 8/7*x**2 - r.
2*(x - 2)*(x - 1)**2/7
Let q(z) be the second derivative of 2*z**6/15 - 24*z**5/5 + 143*z**4/3 + 16*z**3 - 288*z**2 - 13*z - 2. Factor q(r).
4*(r - 12)**2*(r - 1)*(r + 1)
Let x be (-1)/2*0*122/122. Let h(j) be the third derivative of 1/16*j**5 - 7/32*j**4 + x + 0*j - 1/160*j**6 + 3/8*j**3 + 6*j**2. Factor h(g).
-3*(g - 3)*(g - 1)**2/4
Let a(g) = 3*g + g - 2 - 5*g. Let r be a(-4). Solve -3*h**2 + 8*h + 2*h**r - 3*h**2 = 0.
0, 2
Factor 4*k**3 + 8/5*k + 0 - 28/5*k**2.
4*k*(k - 1)*(5*k - 2)/5
Let d(a) be the second derivative of 2*a**4/3 + 53*a**3/3 + 13*a**2 - 25*a - 2. Factor d(c).
2*(c + 13)*(4*c + 1)
Let w = 12/413 - -377/1239. Find u such that w*u**4 + 0 + 0*u**2 + 0*u + 1/6*u**3 + 1/6*u**5 = 0.
-1, 0
Find b such that 4*b**3 + 328*b + 6 - 332*b + 0 - 4*b**2 - 2 = 0.
-1, 1
Suppose 0 = -2*v - 3*y - 1, v + 0*v = 5*y + 19. Suppose -v*i = -4*i - 3*i. Factor i - 26/5*s**4 + 2/5*s**2 + 18/5*s**3 - 4/5*s + 2*s**5.
2*s*(s - 1)**3*(5*s + 2)/5
Let t(r) be the second deriv