ative of x**5/270 + x**4/36 - 3*x**2 - 15. Let t(l) be the second derivative of i(l). Determine z so that t(z) = 0.
-3, 0
Solve 52/5*z - 2/5*z**2 - 338/5 = 0.
13
Let q be (-247)/(-208)*-4 - -5. Factor 0 - 1/4*s + q*s**2.
s*(s - 1)/4
Let v(x) be the second derivative of 0 - 1/30*x**3 - 1/75*x**6 - 9*x + 0*x**2 + 0*x**4 + 3/100*x**5. What is f in v(f) = 0?
-1/2, 0, 1
Let t(v) be the third derivative of v**8/504 - 2*v**7/315 + v**6/180 - 2*v**2 + 3. Solve t(c) = 0 for c.
0, 1
Let f(u) = -6*u**3 - 6*u**2. Suppose 28 = -3*s + 7. Let h(z) = 11*z**3 + 11*z**2 - z. Let j(q) = s*f(q) - 4*h(q). Determine x, given that j(x) = 0.
-2, 0, 1
Let u = -106 + 108. Factor 139*y + 125*y**4 + 420*y**u + 189*y + 160 - 650*y**3 + 352*y.
5*(y - 4)*(y - 2)*(5*y + 2)**2
Let q(g) = g**2 + 13*g - 90. Let u be q(-18). Factor u + 2/3*l - 2/3*l**3 - 2/3*l**2 + 2/3*l**4.
2*l*(l - 1)**2*(l + 1)/3
Let b(y) be the first derivative of -1/36*y**4 + 0*y + 3 - 3*y**2 - 1/27*y**3 - 1/540*y**6 - 1/90*y**5. Let w(q) be the second derivative of b(q). Factor w(x).
-2*(x + 1)**3/9
Let z be -12*2/(-12)*(-156)/(-364). Factor 0 - 3/7*l**2 + z*l.
-3*l*(l - 2)/7
Suppose 2*j - 14*j + 72 = 0. Suppose -10*g + j*g = 3*g. Factor 3/7*l**4 + 3/7*l**5 + 0*l**3 + g*l**2 + 0 + 0*l.
3*l**4*(l + 1)/7
Let i(x) be the second derivative of -x**9/3024 + x**8/672 + x**7/504 - x**6/72 + x**4/4 + 10*x. Let w(c) be the third derivative of i(c). Factor w(m).
-5*m*(m - 2)*(m - 1)*(m + 1)
Let d = 7/1980 - -12829/396. Suppose -28 = 66*y - 70*y + 2*m, -2*m - 18 = y. Factor -64/5*v + 8/5 + d*v**3 + 18*v**y.
2*(v + 1)*(9*v - 2)**2/5
Let s be 618/(-63) + -14 + 24. Let i(h) be the third derivative of 0 + 0*h - s*h**3 + 1/14*h**4 - 10*h**2 - 1/105*h**5. What is x in i(x) = 0?
1, 2
Let l be (-4)/6 - 6/(-9). Suppose l*d = -4*d + 12. Factor 6*a**4 + a**2 + 16*a - 16*a + 2*a**d - 5*a**4.
a**2*(a + 1)**2
Suppose -5*v = 4*d - 37, 6*d + 2*v = d + 25. Suppose 0 = d*t + 2*b - 19, -2*b = -2*t + b - 9. Solve 7/2*f**2 + 2*f + f**t - 2 = 0.
-2, 1/2
Let c = -53 - -56. Find j, given that 1 + j**4 + 2 + j**2 - 1 - 3*j**3 - 4 + c*j = 0.
-1, 1, 2
Let g(w) be the second derivative of 27*w**6/2 - 9*w**5 - 385*w**4/12 + 30*w**3 - 10*w**2 + 163*w - 2. Factor g(v).
5*(v - 1)*(v + 1)*(9*v - 2)**2
Let n(l) be the first derivative of -5*l**6/9 + 37*l**5/6 - 565*l**4/24 + 305*l**3/9 - 10*l**2 - 158. Suppose n(q) = 0. What is q?
0, 1/4, 2, 3, 4
Let l(w) = 6*w**4 - 3*w**3 + 4*w**2 - 2*w - 5. Let u(m) = 5*m**4 - 2*m**3 + 3*m**2 - 2*m - 4. Let p(d) = -4*l(d) + 5*u(d). Factor p(a).
a*(a - 1)*(a + 1)*(a + 2)
Suppose 0 = -4*g + 675 - 667. Determine p, given that -g*p**3 + 0*p**2 - 2/3*p**4 + 0 + 8/3*p = 0.
-2, 0, 1
Let v(t) be the first derivative of -21*t**5/5 + 5*t**4 + t**3 - t**2 + 184. Factor v(f).
-f*(f - 1)*(3*f + 1)*(7*f - 2)
Let b(v) be the first derivative of -v**4/36 - 10*v**3/27 - 7*v**2/18 + 2*v - 125. Solve b(m) = 0 for m.
-9, -2, 1
Suppose 8007*g**3 - 11 - 51*g**2 - 8004*g**3 - 34 + 93*g = 0. Calculate g.
1, 15
Let u(b) be the third derivative of -b**6/840 - 173*b**5/420 - 2465*b**4/56 + 2523*b**3/14 - 12*b**2 - 2. What is p in u(p) = 0?
-87, 1
Let l be (-70)/(-40) + (-2)/(-8). Factor -48*a**3 + 3*a**4 - a**5 - 3037*a + 3037*a - 15*a**4 - 64*a**l.
-a**2*(a + 4)**3
Let g(n) be the second derivative of -1/36*n**4 - n + 1/6*n**2 + 0 + 0*n**3. Factor g(v).
-(v - 1)*(v + 1)/3
Let o(z) be the first derivative of 5*z**6/6 + 7*z**5 - 85*z**4/4 + 15*z**3 - 59. Factor o(q).
5*q**2*(q - 1)**2*(q + 9)
Determine c so that -52/11*c**3 - 129/11*c**2 - 92/11*c - 20/11 - 4/11*c**4 = 0.
-10, -2, -1/2
Let o(q) be the first derivative of q**5/25 - q**4/4 - 12*q**3/5 - 41. Find g such that o(g) = 0.
-4, 0, 9
Let b(q) be the second derivative of -q**7/630 - q**6/120 + q**4/18 - 49*q**2/2 - 30*q. Let g(a) be the first derivative of b(a). Factor g(r).
-r*(r - 1)*(r + 2)**2/3
Let o(n) be the third derivative of -n**7/70 - 13*n**6/20 - 5*n**5/4 + 95*n**2 + 1. Factor o(r).
-3*r**2*(r + 1)*(r + 25)
Factor -t**3 - 9*t**2 + 66*t - 43*t - 49*t - 24.
-(t + 2)*(t + 3)*(t + 4)
Let d = 1540 - 1536. Let g(o) be the third derivative of 1/8*o**3 + 1/20*o**6 + 0 + 3/16*o**4 + 0*o - d*o**2 + 3/20*o**5. Factor g(t).
3*(2*t + 1)**3/4
Suppose 10*w - 5*w = -30. Let j be (4/w)/(4/(-3)). Factor 0*s + 0 - j*s**2 + 1/2*s**3.
s**2*(s - 1)/2
Let p(a) = -5*a + 34. Let t be p(6). Let h(u) be the second derivative of -2/9*u**2 + u - 1/54*u**t + 0 + 1/9*u**3. Factor h(c).
-2*(c - 2)*(c - 1)/9
Let m = -73/4 - -79/4. Let d(p) be the second derivative of 3/20*p**5 - 3/4*p**4 + m*p**3 + 0 - 5*p - 3/2*p**2. Factor d(c).
3*(c - 1)**3
Suppose -7/2*w**3 + 0 + 5/2*w**4 + 0*w + w**2 = 0. Calculate w.
0, 2/5, 1
Factor 130*j**2 - 5*j**4 - 64*j**3 - 92*j**3 - 300*j - 590*j**2 - 9*j**3.
-5*j*(j + 1)*(j + 2)*(j + 30)
Let t be 4/(-6) + (6 - 80/30). Solve 10/3*o + 4/3 + t*o**2 + 2/3*o**3 = 0 for o.
-2, -1
Let k(p) = 11*p**2 + 102*p - 800. Let w(h) = -3*h**2 - 26*h + 200. Let l(d) = -2*k(d) - 9*w(d). Factor l(g).
5*(g - 4)*(g + 10)
Let h(s) = s**3 + 2*s**2 + 2*s + 3. Let q be h(0). What is g in 9*g**3 + 0*g**5 + 10*g**4 - 10*g**2 - 35*g**5 + 14*g**q + 12*g**3 = 0?
-1, 0, 2/7, 1
Let r(g) be the third derivative of g**8/840 - g**7/75 - 11*g**6/300 + 23*g**5/150 + g**4/6 - 16*g**3/15 + 135*g**2 + 2*g. What is m in r(m) = 0?
-2, -1, 1, 8
Factor 2/7*x**2 + 10/7*x - 48/7.
2*(x - 3)*(x + 8)/7
Let c(w) be the second derivative of -w**6/6 + 15*w**5/2 - 35*w**4/3 - 25*w**3 + 145*w**2/2 + 44*w. Factor c(f).
-5*(f - 29)*(f - 1)**2*(f + 1)
Let i be (-12)/(-1 + 9/(-3)). Let p(c) be the first derivative of 1/3*c + 1/18*c**i + 1 - 1/4*c**2. Factor p(k).
(k - 2)*(k - 1)/6
Suppose 0 = 3037*c - 3047*c + 20. Find t such that -5/2*t - c*t**2 - 1/2*t**3 - 1 = 0.
-2, -1
Let s(b) = -b**2. Let k(w) = -6*w**2 + 24*w. Let c(a) = -k(a) - 5*s(a). Factor c(g).
g*(11*g - 24)
Let i(z) = -7*z**2 - 19*z - 8. Let w(a) = -a**2 - a + 1. Suppose -34 = -6*u - 28. Let c(q) = u*i(q) - 4*w(q). Factor c(n).
-3*(n + 1)*(n + 4)
Let l = -1409/6 + 9875/42. Let 0 + l*k - 2/7*k**3 + 0*k**2 = 0. Calculate k.
-1, 0, 1
Suppose -3*y + 3*k = -12 - 0, -3*y - 6 = 6*k. Solve 2/9*d + 2/9*d**y - 2/9*d**3 + 0 - 2/9*d**4 = 0 for d.
-1, 0, 1
Suppose 0 = q + 1 - 6. Suppose -k - 3 = -q. Solve -k*t**2 + 0 + t**2 + t + 2 = 0.
-1, 2
Let p(x) be the second derivative of -x**5/360 + x**4/72 - 3*x**2/2 + 10*x. Let y(q) be the first derivative of p(q). Solve y(l) = 0 for l.
0, 2
Suppose 8*x + 40 = 12*x. Let v be ((-16)/70)/(4 + (-44)/x). Find n, given that 2/7*n**3 - 8/7*n**2 - v + 10/7*n = 0.
1, 2
Let a = 56 + -53. Let n(q) be the third derivative of -2/3*q**a - 3/20*q**5 + 0*q + 5/6*q**4 - 2*q**2 + 0. Solve n(k) = 0.
2/9, 2
Let l(h) be the second derivative of h**5/40 + 11*h**4/24 + 35*h**3/12 + 25*h**2/4 - 21*h. Find a, given that l(a) = 0.
-5, -1
Let n(c) be the second derivative of c**5/5 + 10*c**4/3 - 16*c**3 - c - 136. Let n(s) = 0. Calculate s.
-12, 0, 2
Let a be (20 - 2)/(-1 + 3). Determine t, given that -a*t**4 - 6*t**2 + 4*t**3 + 11*t**4 - 3*t**5 + 4*t**2 - t = 0.
-1, -1/3, 0, 1
Let x(j) be the first derivative of -4*j**3/15 - 2*j**2/5 + 48*j/5 + 7. Determine m, given that x(m) = 0.
-4, 3
Let m = 7782 + -7780. Let -2/5*o**3 - 6/5*o - 6/5*o**m - 2/5 = 0. What is o?
-1
Factor -1/4*r**4 - 3/2 - 3/4*r**3 + 7/4*r + 3/4*r**2.
-(r - 1)**2*(r + 2)*(r + 3)/4
Let j(w) be the second derivative of 7*w + w**3 + 0 + 1/70*w**5 + 18/7*w**2 + 4/21*w**4. Factor j(n).
2*(n + 2)*(n + 3)**2/7
Let k(d) be the third derivative of 0 - 2/9*d**4 - 3*d**2 - 4*d - 2/3*d**3 + 2/315*d**7 + 2/45*d**5 + 2/45*d**6. Factor k(w).
4*(w - 1)*(w + 1)**2*(w + 3)/3
Let h = -564959/180 - -12551/4. Let s = h - -10/9. Factor -s*y**2 - 4/5 - 4/5*y.
-(y + 2)**2/5
Let n be 77/(-42) - 68610/(-90). Factor 6591/2 + 3/2*j**3 + 117/2*j**2 + n*j.
3*(j + 13)**3/2
Suppose -4*k + 13 = -75. Find t, given that -16*t + 8 - 9 - 14*t**2 - 2*t**3 + k + 11 = 0.
-4, 1
Factor 22*n**2 + 60*n**3 + 39*n**4 - 2*n**2 + 9*n**3 - 13*n**2 + 26*n**2 + 3*n**5.
3*n**2*(n + 1)**2*(n + 11)
Let a be (3 + 64/(-18))/(25/(-75)). Let v(q) be the first derivative of -4/3*q + a*q**2 - 2/9*q**3 + 4 - 1/3*q**4. Find u, given that v(u) = 0.
-2, 1/2, 1
Suppose 6*f = -28*f + 27*f - 7*f. Determine u so that f*u + 0*u**2 - 10/7*u**5 + 0 - 16/7*u**4 - 6/7