-4*s**2 - 41*s - 475. Let k(j) = -5*a(j) + 3*p(j). Suppose k(l) = 0. What is l?
-22
Let d = -98 - -108. Factor r + 3*r + 0*r**4 - 2*r**4 - d*r**2 + 8*r**3.
-2*r*(r - 2)*(r - 1)**2
Let z(u) be the second derivative of 3*u**5/20 - u**4 - 5*u**3/2 + 3*u - 11. Let z(d) = 0. What is d?
-1, 0, 5
Suppose -25*t**3 - 60*t**2 - 50*t + 613 - 75*t**2 - 613 = 0. Calculate t.
-5, -2/5, 0
Let n(i) be the third derivative of -i**8/168 + i**7/105 + i**6/20 - i**5/6 + i**4/6 - 31*i**2. Factor n(z).
-2*z*(z - 1)**3*(z + 2)
Let q be 7 - (-13)/((-130)/40). Let d(x) be the second derivative of -1/42*x**4 - 16/7*x**2 + 0 - 8/21*x**q + 4*x. Suppose d(h) = 0. Calculate h.
-4
Let r(q) = -q**5 - 24*q**4 - 29*q**3 - 6*q**2. Let i(a) = 10*a**5 + 265*a**4 + 320*a**3 + 65*a**2. Let s(c) = 4*i(c) + 45*r(c). Factor s(o).
-5*o**2*(o + 1)**2*(o + 2)
Suppose 0 = -7*v + 13*v. Factor 3/7*n**3 + 0*n + v - 6/7*n**2.
3*n**2*(n - 2)/7
Let k(h) = 2*h - 4. Let t be k(2). Let q be (-30)/27 + (t - (-16)/12). Solve 2/9*f**2 + 0 + q*f = 0 for f.
-1, 0
Let a(z) = 5*z**4 - 35*z**3 + 14*z**2 + 2*z - 2. Let j(b) = -40*b**4 + 279*b**3 - 112*b**2 - 17*b + 17. Let v(g) = -51*a(g) - 6*j(g). Factor v(y).
-3*y**2*(y - 7)*(5*y - 2)
Determine o so that 4/3*o**2 - 22/3*o - 4/3 + 22/3*o**3 = 0.
-1, -2/11, 1
Factor -4/5*r**2 + 16/5*r + 48/5.
-4*(r - 6)*(r + 2)/5
Let k(j) be the second derivative of 3*j**5/20 + j**4 + 5*j**3/2 + 3*j**2 - 10*j. Factor k(l).
3*(l + 1)**2*(l + 2)
Let j(r) be the third derivative of -r**6/30 - 4*r**5/15 - r**4/2 - 26*r**2. Factor j(l).
-4*l*(l + 1)*(l + 3)
Suppose 3*d**2 + 2*d**2 + 33 - 15 - 21*d - 2*d**2 = 0. Calculate d.
1, 6
Let y(s) = 2*s. Let z(m) = 4*m**3 - 4*m**2 + 20*m - 12. Let a(j) = 20*y(j) - z(j). Determine v so that a(v) = 0.
-1, 3
Let y(u) be the second derivative of 1/9*u**4 - 4*u + 0*u**2 - 4/9*u**3 + 0. Suppose y(l) = 0. Calculate l.
0, 2
Let a be (-14)/48*-4 - 3/18. Let z be 3/a + (-1)/(-2 - -3). Find w, given that -5/4*w**3 - 3*w**z - w + 0 = 0.
-2, -2/5, 0
Let z(k) be the second derivative of 0*k**3 + 0 - 13/15*k**6 - 28*k + 1/3*k**4 + 0*k**2 - 11/10*k**5. Factor z(w).
-2*w**2*(w + 1)*(13*w - 2)
Let t(h) = h + 26. Let u be t(0). Suppose -2*a = 2*m - u + 2, -4*m = 5*a - 58. Factor -3*z**5 + 6*z - z - 6*z**2 - 4*z**2 - 2*z**5 + a*z**4.
-5*z*(z - 1)**3*(z + 1)
Let o(u) = 7*u**2 - 6*u - 6. Let j be (-6)/(-4) - 37/(-2). Let y(k) = j*k**2 + 3 - 17*k - 4 - 16. Let z(v) = -17*o(v) + 6*y(v). Factor z(w).
w**2
Let c be (56/20 + -2)*5. Suppose z = -2*n - 4*z - 12, c*n = z + 20. Factor q - n*q + 3*q**3 + 10*q**4 - 7*q**4 - 3*q**2.
3*q*(q - 1)*(q + 1)**2
Let s(m) be the second derivative of -m**4/36 - 8*m**3/9 + 19*m**2/2 + 348*m. Factor s(p).
-(p - 3)*(p + 19)/3
Let n(h) be the first derivative of -h**9/1008 + h**8/112 + h**7/280 - h**6/24 - 8*h**3 + 19. Let v(b) be the third derivative of n(b). Solve v(o) = 0.
-1, 0, 1, 5
Let p(a) be the third derivative of -a**6/2520 - a**5/140 - 3*a**4/56 + 5*a**3/6 - 9*a**2. Let f(b) be the first derivative of p(b). Factor f(l).
-(l + 3)**2/7
Suppose 4*m**2 + 7/6*m**5 - 3*m**4 - 5/6*m - 1 - 1/3*m**3 = 0. Calculate m.
-1, -3/7, 1, 2
Let k(w) be the second derivative of w**7/126 + 7*w**6/45 - 8*w**5/15 + w**4/18 + 31*w**3/18 - 8*w**2/3 + 22*w. What is r in k(r) = 0?
-16, -1, 1
Solve 0 + 68/11*o**4 - 10/11*o - 14/11*o**5 - 68/11*o**2 + 24/11*o**3 = 0.
-1, -1/7, 0, 1, 5
Let 58/21*o**3 + 16/21 - 20/7*o + 38/21*o**2 - 16/7*o**4 + 8/21*o**5 = 0. Calculate o.
-1, 1/2, 2, 4
Let i be 12/(-16) - (-1)/(-4)*-11. Find b, given that 3 + 3*b**i - 9 + 6 = 0.
0
Let i(c) be the second derivative of 2*c**4/45 + 23*c**3/45 + c**2 - 46*c - 1. Factor i(h).
2*(h + 5)*(4*h + 3)/15
Suppose -5*b + 25 = 5*o, -o - 2*b + 12 - 4 = 0. Suppose 16 = o*r - 0*r. Solve -4*v**5 - 33*v**3 + v**5 + 24 + r*v + 28*v - 6*v**2 - 18*v**4 = 0 for v.
-2, -1, 1
Suppose 5*c + 5 = 25. Factor 12*w**c + 3*w**3 - 69*w**2 + 69*w**2.
3*w**3*(4*w + 1)
Suppose 0 = 4*t - 7*t + 6. Suppose -t*v - 14 = -5*l, -4*l - 2 = -4*v - 18. Factor -9*f - 3 - 5*f**2 + 0*f**l + 1 - 2*f**2.
-(f + 1)*(7*f + 2)
Let h(v) be the first derivative of -v**3/12 - 83*v**2/8 + 85*v/2 - 840. Determine p so that h(p) = 0.
-85, 2
Let q(r) be the first derivative of -r**3/3 + 31*r**2/2 + 25*r + 3. Let a(p) = 7 - 5 - 107*p + 117*p + 6. Let j(t) = -7*a(t) + 2*q(t). What is h in j(h) = 0?
-3, -1
Suppose -8/25*w**2 + 0 + 6/25*w**4 + 0*w**3 + 2/25*w**5 + 0*w = 0. Calculate w.
-2, 0, 1
Let d(v) be the first derivative of v**3/21 + v**2/14 - 2*v/7 - 84. Determine c, given that d(c) = 0.
-2, 1
Let i(n) = -18*n - 393. Let z be i(-22). Determine l so that -2/7 - 48/7*l**2 + 18/7*l + 32/7*l**z = 0.
1/4, 1
Let d(n) = -26*n**3 + 7*n**2 + 65*n + 41. Let v(x) = 6*x**3 - 2*x**2 - 16*x - 10. Let u(z) = 4*d(z) + 18*v(z). Factor u(t).
4*(t - 4)*(t + 1)**2
Let k(d) = -2*d**4 - 15*d**3 + 42*d**2 + 118*d + 60. Let r(p) = p**4 + 15*p**3 - 41*p**2 - 119*p - 60. Let z(o) = 4*k(o) + 3*r(o). Factor z(w).
-5*(w - 3)*(w + 1)**2*(w + 4)
Let b be 0*(-2)/(48/(-8)). Let t(x) be the second derivative of 1/96*x**4 + 1/6*x**3 - 4*x + x**2 + b. Find m such that t(m) = 0.
-4
Let n(d) be the third derivative of d**7/735 - 11*d**6/35 + 2111*d**5/105 + 737*d**4/7 + 4489*d**3/21 + 32*d**2 + 3*d. Factor n(g).
2*(g - 67)**2*(g + 1)**2/7
Suppose 2*o + o - 75 = 0. Determine k, given that -k**5 + 6*k**5 + 20*k**2 + 35*k**3 + o*k**4 + 5*k**3 = 0.
-2, -1, 0
Let u(g) = g**4 + 13*g**3 + 34*g**2 - 48*g. Let x(n) = n**4 + 14*n**3 + 35*n**2 - 50*n. Let j(c) = -3*u(c) + 4*x(c). Factor j(h).
h*(h - 1)*(h + 4)*(h + 14)
Suppose -2*i + 4 = -0*d + 3*d, -5*i + 4*d = -33. Let a be (16/(-10))/((-2)/i). Let 11*q + q + 3*q**a - 5*q**2 - 4*q**2 - 3 - 2*q**3 - 1 = 0. What is q?
-2, 2/3, 1
Factor 2048/5 + 128/5*n + 2/5*n**2.
2*(n + 32)**2/5
Let k(t) be the first derivative of 1922*t**3/57 - 496*t**2/19 + 128*t/19 - 385. Solve k(f) = 0.
8/31
Let w(j) be the first derivative of -j**4/34 - 4*j**3/17 - 12*j**2/17 - 16*j/17 + 46. Factor w(m).
-2*(m + 2)**3/17
Let y(f) = 30*f**3 + 21*f**2 - 17*f - 21. Let j(x) = 14*x**3 + 10*x**2 - 8*x - 10. Let q(d) = -13*j(d) + 6*y(d). Determine m, given that q(m) = 0.
-2, -1, 1
Determine d, given that 6*d**3 + 125000 - 5*d**3 + 150*d**2 + 2652*d + 4848*d = 0.
-50
Let k(x) be the first derivative of 2*x**5/15 - 4*x**4/3 + 10*x**3/3 + 4*x**2/3 - 40*x/3 - 77. Factor k(q).
2*(q - 5)*(q - 2)**2*(q + 1)/3
Suppose 2*i + 2*i + 540 = 0. Let a = i - -1489/11. Factor a*t + 2/11*t**2 + 0.
2*t*(t + 2)/11
Solve -p**4 - 14*p**3 - 4*p - 16*p**3 - 6*p**2 - 1 + 26*p**3 = 0.
-1
Let a(x) be the third derivative of 1/630*x**6 - 4*x**2 + 0*x + 0 + 1/210*x**5 + 1/168*x**4 - 1/3*x**3. Let q(z) be the first derivative of a(z). Factor q(f).
(2*f + 1)**2/7
Let h = -117 - -117. Let l = 60 - 57. Factor -n**l + h + 1/2*n + 1/2*n**2.
-n*(n - 1)*(2*n + 1)/2
Let l be 40/(-5)*15/12. Let b = l + 22. Factor 12*r + 3*r**3 - 5*r**3 + 3*r**3 + b*r**2 + 2*r**3.
3*r*(r + 2)**2
Factor 2*y**3 + 0*y + 0 + 8/7*y**2 + 4/7*y**4 - 2/7*y**5.
-2*y**2*(y - 4)*(y + 1)**2/7
Let h(b) be the third derivative of -b**8/168 + b**7/105 + b**6/10 - 7*b**5/15 + 11*b**4/12 - b**3 - 4*b**2 - 1. Let h(k) = 0. Calculate k.
-3, 1
Let p(f) be the second derivative of 0 + 8*f + 1/120*f**6 + 1/168*f**7 - 1/40*f**5 + 0*f**4 + 0*f**2 + 0*f**3. Find j such that p(j) = 0.
-2, 0, 1
What is u in 0 + 40*u + 4/7*u**2 = 0?
-70, 0
Let h(y) be the third derivative of 1/20*y**5 + 0*y**3 - 3/8*y**4 + 0 - 36*y**2 + 0*y. Determine m, given that h(m) = 0.
0, 3
Let a(t) = -2*t**3 + 116*t**2 - 113*t - 54. Let y be a(57). Factor 4/5*x**y + 0 - 2/5*x**2 + 0*x - 2/5*x**4.
-2*x**2*(x - 1)**2/5
Suppose a - 6 = -4*h + 4*a, -4*h + 18 = 3*a. Suppose m = -3*r + 5*m - 7, 0 = 4*r - h*m. Factor -r*z - 2*z**2 + 5*z**2 - 3*z.
3*z*(z - 2)
Let o(f) = -9*f**3 - 53*f**2 - 26*f + 28. Let w(x) = 4*x**3 + 27*x**2 + 13*x - 14. Let t(l) = 6*o(l) + 15*w(l). Factor t(j).
3*(j + 1)*(j + 14)*(2*j - 1)
Let y = 2 - -10. Suppose q = -3*q + y. Factor -2*g**5 - q*g**5 - g**5 + 3*g**5.
-3*g**5
Let s = 790 - 790. Let p = 7 + -5. Let 0*b + s + 2/7*b**p = 0. Calculate b.
0
Let i(t) be the second derivative of -t**7/7 - 41*t**6/50 + 12*t**5/25 + 61*t**4/10 - 39*t**3/5 - 27*t**2/10 + 171*t. Suppose i(k) = 0. Calculate k.
-3, -1/10, 1
Solve 87*y**2 - 182*y**2 + 90*y**2 + 25