*n**4/8 - 90*n**3 - 21*n**2 - 2*n. Let v(j) = 0. What is j?
-4, -1, 45
Let v(a) be the first derivative of a**4/6 - 22*a**3/3 - 48*a**2 + 172*a + 69. Let t(b) be the first derivative of v(b). Find g such that t(g) = 0.
-2, 24
Let r(b) be the second derivative of -6/5*b**2 + 1/100*b**5 + 8/15*b**3 - 7/60*b**4 + 93*b + 0. Find f, given that r(f) = 0.
2, 3
Let f be 403/2015 + (24/5 - 0). Let c(l) be the second derivative of -1/15*l**6 + 0*l**4 + 0 + 0*l**3 - 1/10*l**f + l + 0*l**2. Determine z so that c(z) = 0.
-1, 0
Suppose 5*p = -79 - 251. Let j = p + 64. Let l(z) = -3*z**2 - 6*z - 1. Let h(t) = -t**2 - t. Let g(v) = j*l(v) + 10*h(v). Factor g(o).
-2*(o - 1)*(2*o + 1)
Let w(q) be the third derivative of -1/24*q**3 + 98*q**2 + 0 - 19/48*q**4 + 13/80*q**5 + 0*q. Solve w(a) = 0 for a.
-1/39, 1
Find v, given that 2/11*v**4 - 6/11*v**2 - 6/11*v**3 - 12/11 + 2*v = 0.
-2, 1, 3
Let b(r) = 5*r**2 - 32*r + 18 - r**3 + 44*r - 16*r**2. Let g be b(-12). What is d in -6*d**2 - 369 - g*d - d**3 + 359 + 3*d**3 = 0?
-1, 5
Let z(w) be the third derivative of 50*w - 2*w**2 + 0 - 1/10*w**4 - 8/15*w**3 - 1/150*w**5. Factor z(o).
-2*(o + 2)*(o + 4)/5
Suppose 310/7*s**2 - 2/7*s**3 - 310/7*s**4 + 0*s + 2/7*s**5 + 0 = 0. What is s?
-1, 0, 1, 155
Let g(w) be the second derivative of -w**6/360 + w**5/60 + w**4/18 + 18*w**2 + 24*w. Let z(a) be the first derivative of g(a). Factor z(f).
-f*(f - 4)*(f + 1)/3
Let m(g) be the third derivative of -g**7/1155 - 9*g**6/44 - 989*g**5/55 - 19573*g**4/33 + 97336*g**3/11 + 3*g**2 - 71. Let m(a) = 0. Calculate a.
-46, 3
Let z be 2/((6 - (-38)/(-4)) + (45 - 41)). What is w in z*w**2 - 2/3*w**4 + 0*w + 0 + 2/3*w**3 = 0?
-2, 0, 3
Let g(t) = -1 + 144*t - 72*t + t**2 - 73*t. Let a(s) = -5*s**2 + 25*s + 27. Let y(u) = a(u) + 3*g(u). Solve y(j) = 0 for j.
-1, 12
Let w(k) be the first derivative of -5*k**6/33 - 676*k**5/55 + 141*k**4/22 + 676*k**3/33 - 136*k**2/11 - 643. Suppose w(l) = 0. What is l?
-68, -1, 0, 2/5, 1
Let x(r) = r**2 + 6*r - 12. Let i be x(2). Let l(q) = 5*q**3 + 8*q**2 + 20*q + 20. Let p(z) = -z**3 - 1. Let m(c) = i*p(c) + l(c). Factor m(u).
(u + 2)**2*(u + 4)
Let i = 619 + -615. Factor -184*d**2 - 784 - 952*d + 3*d**4 + 46*d**3 + 13*d**i - 84*d**2 - 2*d**5.
-2*(d - 7)**2*(d + 2)**3
Factor 813*d - 5354764 + 11224373 + 10443*d + 3*d**2 + 4688519.
3*(d + 1876)**2
Factor 17116*w**2 + 512*w**3 - 16*w**3 + 32256*w + 1751*w**3 - 3484*w**2 - 159*w**3 + 3*w**5 + 135*w**4.
3*w*(w + 8)**3*(w + 21)
Let h(g) be the first derivative of g**5/20 - 7*g**4/12 - 63*g - 11. Let c(f) be the first derivative of h(f). Factor c(r).
r**2*(r - 7)
Let a = -21813 - -21815. Let f(x) be the second derivative of 1/36*x**4 - 1/9*x**3 + 0*x**a + 1/60*x**5 + 7*x + 0. Let f(d) = 0. Calculate d.
-2, 0, 1
Let o(r) = -5*r**3 - 122*r**2 - 185*r + 3. Let m(u) = 5*u**3 + 121*u**2 + 170*u - 4. Let n(c) = -3*m(c) - 4*o(c). Suppose n(y) = 0. What is y?
-23, -2, 0
Suppose -2*f - 23 = -b - 7*f, 0 = b - f + 1. Factor 4*k**3 - 12*k**3 - b*k**4 - 190 + 16*k**2 + 178 + 8*k - k**4.
-4*(k - 1)**2*(k + 1)*(k + 3)
Let l(n) = 422*n + 12. Let q be l(1). Let p = 436 - q. Factor -2/5*f + 1/5*f**p + 1/5.
(f - 1)**2/5
Suppose -72*a = -59*a + 4095. Let o = a - -317. Suppose 3*r**3 - 3*r**o - 3/4*r**4 + 0 + 0*r = 0. Calculate r.
0, 2
Let q(v) be the third derivative of v**6/40 - 13*v**5/20 + 6*v**4 - 18*v**3 + v**2 + 576*v - 1. Factor q(u).
3*(u - 6)**2*(u - 1)
Let k be 46/(-8) - -9 - 1/12*3. Solve -2/13*v**5 + 2/13*v**4 + 6/13*v**k - 4/13*v + 0 - 2/13*v**2 = 0 for v.
-1, 0, 1, 2
Factor 840 - 428*n - 1/2*n**3 + 113/2*n**2.
-(n - 105)*(n - 4)**2/2
Let u be (-2212)/(-462) - (23 + 2849/(-121)). Find q such that u - 20/9*q - 2/9*q**2 = 0.
-12, 2
Let f(i) be the second derivative of -i**5/30 - 35*i**4/18 - 32*i**3/9 + 68*i**2/3 + 16*i - 333. Suppose f(b) = 0. Calculate b.
-34, -2, 1
Determine n, given that 523/4*n**3 - 91/4*n**4 + 256*n + 1/4*n**5 - 85 - 1117/4*n**2 = 0.
1, 2, 85
Let d be 33*(-33)/(-1694) + (1 - (-3)/(-6)). Factor -2/7*s**2 + d + 2/7*s**3 - 8/7*s.
2*(s - 2)*(s - 1)*(s + 2)/7
Let c(w) be the second derivative of w**5/5 - 3*w**4/40 - w**3/5 - 90*w**2 + 2*w + 17. Let q(a) be the first derivative of c(a). Factor q(t).
3*(4*t + 1)*(5*t - 2)/5
Let m be (3 + -1)/(-12) + -4 + 100/24. Solve -4/7 - 2/7*k**5 + 4/7*k**2 + m*k**4 + 8/7*k**3 - 6/7*k = 0.
-1, 1, 2
Let a(k) be the first derivative of 11858*k**3/27 + 7700*k**2/9 + 5000*k/9 + 3663. Factor a(g).
2*(77*g + 50)**2/9
Suppose 3 = 4*v - 3*y, -19*y + 3 = -2*v - 16*y. Suppose 2*r = 5*r. Determine x so that 0*x + 12/5*x**v + 3*x**4 + 6/5*x**5 + r + 3/5*x**2 = 0.
-1, -1/2, 0
Let v(a) be the third derivative of 0 + 1/24*a**6 + 0*a - 10/3*a**3 + 1/3*a**5 - 6*a**2 - 5/24*a**4. Find x such that v(x) = 0.
-4, -1, 1
Suppose 3*d = 2*l + 200, -4*l + 258 = 4*d + 18. What is j in 271*j - d - 97 - 221*j + 36 - 5*j**2 = 0?
5
Let h(j) = -j**3 + 6*j**2 + 11*j + 15. Let a be h(9). Let r = a - -156. Determine z so that -9*z + 31*z**3 - r + 24*z**2 - 40*z**3 + 21*z**3 = 0.
-3/2, 1
Let h = 77 + -72. Suppose -h*g - 5*g = -40. Factor 10*j**4 - 25*j**5 - 33*j**3 + 23*j**3 + 25*j**g.
-5*j**3*(j - 1)*(5*j - 2)
Factor 9 + 738053*p**2 + 18 - 737657*p**2 - 3567*p.
3*(p - 9)*(132*p - 1)
Let p(z) be the third derivative of -z**5/4 + 75*z**4/8 + 3*z**2 + 34*z. Let v(y) = 5*y - 2*y**2 + y**2 + 11*y. Let m(c) = -6*p(c) + 85*v(c). Factor m(o).
5*o*(o + 2)
Determine y, given that -10 + 33*y - 7 - 15 + 29 - 30*y**2 = 0.
1/10, 1
Let t = 2464/185 + 87328/555. Find u, given that t + 2/3*u**2 + 64/3*u = 0.
-16
Let o(k) = 20*k**2 - 430*k - 115. Let t(d) = -27*d**2 + 429*d + 116. Let b(r) = -4*o(r) - 5*t(r). Determine z, given that b(z) = 0.
-3/11, 8
Let m(h) = -h**3 + 94*h**2 + 25*h + 5. Let i(r) = r**3 - 94*r**2 - 20*r - 4. Let j(f) = -5*i(f) - 4*m(f). Factor j(v).
-v**2*(v - 94)
Let n(j) be the first derivative of 68/5*j + 13/15*j**3 - 1/20*j**4 + 32/5*j**2 + 18. Factor n(w).
-(w - 17)*(w + 2)**2/5
Let d(c) = 3*c**2 - 57*c - 56. Let k(j) = 4*j**2 - 56*j - 54. Let h(f) = -3*d(f) + 2*k(f). Find m such that h(m) = 0.
-1, 60
Let y(u) be the first derivative of -8*u**5/5 + 60*u**4 - 798*u**3 + 3969*u**2 - 6988. Factor y(o).
-2*o*(o - 9)*(2*o - 21)**2
Let h(q) be the first derivative of -5*q**3/9 - 2225*q**2/3 - 4445*q/3 + 2804. Let h(f) = 0. What is f?
-889, -1
Let v be 10/(-1) + 13 - 18/2. Let x be 11/((-44)/24)*v/42. Factor -2/7*t - x*t**3 + 6/7*t**2 + 0 + 2/7*t**4.
2*t*(t - 1)**3/7
Let t(w) be the first derivative of 32*w**2 - 4/5*w**5 - 20*w - 24*w**3 + 8*w**4 + 162. Factor t(o).
-4*(o - 5)*(o - 1)**3
Find m such that -52050 - 5*m**3 - 230*m - 437*m - 729*m + 52890 + 435*m**2 + 126*m = 0.
1, 2, 84
Let f(a) be the third derivative of 1/30*a**5 + 1/735*a**7 - 1/2352*a**8 + 5/168*a**4 + 3 + 0*a + 0*a**3 - a**2 + 1/70*a**6. Factor f(y).
-y*(y - 5)*(y + 1)**3/7
Determine z so that 86*z - 3552 + 810*z**2 - 814*z**2 + 258*z = 0.
12, 74
Let a(o) be the first derivative of -36 + 1/14*o**4 - 16/7*o**3 - 1024/7*o + 192/7*o**2. Solve a(i) = 0.
8
Let p(i) = -i**3 - 18*i**2 - 110*i - 361. Let j be p(-11). What is v in -2*v**4 - 12/7*v - 26/7*v**j + 0 + 52/7*v**3 = 0?
-2/7, 0, 1, 3
Suppose -57/2*s**3 + 567*s**2 - 4374*s + 8748 + 1/2*s**4 = 0. Calculate s.
3, 18
Let c(w) be the third derivative of w**6/240 - 13*w**5/10 + 169*w**4 - 35152*w**3/3 + 1110*w**2. Solve c(o) = 0 for o.
52
Let t = 48575 + -48575. What is f in -7/2*f**2 + t*f + 2 + 3/2*f**3 = 0?
-2/3, 1, 2
Let d = -1/4700 - -1177/9400. Let l(i) be the second derivative of 0*i**2 - d*i**3 + 4*i - 1/48*i**4 + 0. Suppose l(z) = 0. Calculate z.
-3, 0
Let j(k) be the first derivative of -k**4/12 + 29*k**3/9 - 40*k**2/3 + 52*k/3 - 3493. Determine v so that j(v) = 0.
1, 2, 26
Let l(b) be the third derivative of b**6/6 - 113*b**5/15 + 127*b**4/3 + 80*b**3 + 470*b**2. Find t such that l(t) = 0.
-2/5, 3, 20
Let j(h) = 4*h**4 - 148*h**3 + 989*h**2 + 253*h - 3. Let w(b) = 16*b**4 - 599*b**3 + 3955*b**2 + 1011*b - 13. Let o(m) = 26*j(m) - 6*w(m). Factor o(i).
2*i*(i - 16)**2*(4*i + 1)
Let k(g) be the third derivative of -20/3*g**3 + 1/30*g**6 - 10*g**2 - 4/5*g**5 + 0*g - 1 + 7/2*g**4. Factor k(a).
4*(a - 10)*(a - 1)**2
Let j(h) be the second derivative of 3*h**5/80 - 65*h**4/16 + 47*h**3/2 - 93*h**2/2 - 1588*h. Determine y, given that j