 1/60*i**6 - 1/210*i**7 + 0*i**5. Factor d(p).
-p**3*(p + 2)
Let y(v) = -v**5 + 13*v**4 - 35*v**3 + 24*v**2 + 23*v - 24. Let k(w) = 4*w**4 - 12*w**3 + 8*w**2 + 8*w - 8. Let x(b) = 13*k(b) - 4*y(b). Solve x(o) = 0 for o.
-2, -1, 1
Let h(v) be the first derivative of 5*v**3/3 + 205*v**2/2 - 998. Solve h(w) = 0.
-41, 0
Suppose -3*p - o + 7 + 3 = 0, -20 = -3*p + 4*o. Determine a so that -p*a**2 + 19*a - 1 + 3 + 27*a**2 - 44*a**2 = 0.
-2/21, 1
Let n(k) be the second derivative of 19*k**6/360 + k**5/6 + k**4/24 - k**3 - 12*k**2 - 4*k + 4. Let d(g) be the second derivative of n(g). Solve d(b) = 0 for b.
-1, -1/19
Let r(s) be the first derivative of -s**4/14 - 4*s**3/3 - 16*s**2/7 + 192*s/7 - 670. Find l such that r(l) = 0.
-12, -4, 2
Let k = 1752 - 1800. Let y be (-6)/(((-630)/k)/(-5)). Suppose -y*v + 0 + 60/7*v**2 - 2*v**3 = 0. Calculate v.
0, 2/7, 4
Let o be ((320/12)/(-8))/(60/(-135)). Let w(u) be the first derivative of 5/3*u**3 - 17 - u**5 + 15/4*u**4 + 0*u - o*u**2. Factor w(d).
-5*d*(d - 3)*(d - 1)*(d + 1)
Let l be (-6)/4 - (-247 - -105)/(50/5*2). What is x in l*x**2 + 0 + 0*x + 1/5*x**4 - 16/5*x**3 = 0?
0, 2, 14
Let t(j) be the third derivative of 0*j**3 - 61*j**2 + 0 + 0*j + 0*j**4 + 1/14*j**7 - 3/40*j**6 - 1/10*j**5. Factor t(p).
3*p**2*(p - 1)*(5*p + 2)
Let l = -167 - -212. Suppose -l*m + 129 + 6 = 0. Factor -3/8 - 9/8*j - 3/8*j**m - 9/8*j**2.
-3*(j + 1)**3/8
Factor -30664297*p**2 + 9597924961/4*p + 293907/2*p**3 - 313*p**4 + 0 + 1/4*p**5.
p*(p - 313)**4/4
Suppose -5*g = -8*g + 342. Factor 220*v - g*v - 101*v - v**2.
-v*(v - 5)
Let h(g) = 5*g**2 - 5668*g + 7851200. Let s(x) = 24*x**2 - 28324*x + 39256001. Let t(f) = 19*h(f) - 4*s(f). Factor t(m).
-(m - 2802)**2
Let 4/7*y**4 - 4212/7 - 592/7*y**2 + 24/7*y**3 - 4824/7*y = 0. What is y?
-9, -1, 13
Let c be (-165 - 159)/((-10)/9). Factor c + 2/5*g**2 - 108/5*g.
2*(g - 27)**2/5
Let a = 647 + -1100. Let n = -450 - a. Factor 5/3*s**n - 5/3*s - 25/3 + 25/3*s**2.
5*(s - 1)*(s + 1)*(s + 5)/3
Let f be 24/6 + -4 + 5. Factor f*r**3 - 4*r**2 + r + 18 + 4*r - 16*r**2 + 12.
5*(r - 3)*(r - 2)*(r + 1)
Let s(a) be the first derivative of -21*a**6/13 + 512*a**5/65 - 6*a**4/13 - 32*a**3/39 + 160. Solve s(g) = 0.
-2/9, 0, 2/7, 4
Let h(q) be the second derivative of 0*q**2 + 2/25*q**6 + 0*q**4 + 9/50*q**5 + 4 + 0*q**3 + 1/105*q**7 - 2*q. What is x in h(x) = 0?
-3, 0
Let c be (2 - 2 - -1) + 160/8. Let t(j) = 4*j**2 + 33*j - 14. Let g(q) = q**2 + 11*q - 4. Let h(y) = c*g(y) - 6*t(y). Factor h(o).
-3*o*(o - 11)
Let x(j) be the third derivative of -j**5/20 - 1847*j**4/4 - 104*j**2 - j + 3. Factor x(g).
-3*g*(g + 3694)
Suppose -3*b + 35 = 733*m - 729*m, -4*m + b + 15 = 0. Let p(w) be the third derivative of 0*w - 1/40*w**m + w**3 + 3/16*w**4 - 16*w**2 + 0. Factor p(h).
-3*(h - 4)*(h + 1)/2
Let v(o) be the second derivative of -o**5/150 - 17*o**4/30 + 24*o**3/5 + o**2 + 6*o - 13. Let s(b) be the first derivative of v(b). Factor s(m).
-2*(m - 2)*(m + 36)/5
Let g(u) = 10*u**2 - 43*u - 46. Let w = 382 + -389. Let i(q) = -3*q**2 + 14*q + 15. Let j(t) = w*i(t) - 2*g(t). Factor j(d).
(d - 13)*(d + 1)
Let c(z) be the third derivative of -z**7/1155 + z**6/132 + z**5/330 - 5*z**4/132 - 463*z**2. Solve c(y) = 0.
-1, 0, 1, 5
Suppose -2*i + 4 = -5*x, 5*i - 5*x = -x + 10. Let w be 6 - (2 + i - 3). What is s in 2*s**w - s**5 - 3*s**4 + 2*s**5 + 3*s**2 - 3*s**3 = 0?
-1, 0, 1
Factor -3/8*h**4 - 57/8*h**3 - 357/8*h**2 - 735/8*h + 0.
-3*h*(h + 5)*(h + 7)**2/8
Let n(j) = 12*j**3 + 24*j**2 + 48*j + 36. Let d(k) = -k**3 - 3*k**2 - 3*k - 1. Let p(z) = 44*d(z) + 4*n(z). Factor p(o).
4*(o - 5)**2*(o + 1)
What is c in 7701/4*c - 9/4*c**3 + 618 + 213*c**2 = 0?
-8, -1/3, 103
Let c(v) = 1991*v + 167247. Let l be c(-84). Factor -9/2*f + 3/2*f**5 - 9/2*f**4 + 3/2 + 3*f**2 + 3*f**l.
3*(f - 1)**4*(f + 1)/2
Let c be 5*(((-756)/75)/(-1) - (-3 - -11)). Factor 9/5*j**2 + c + 48/5*j - 1/5*j**3.
-(j - 13)*(j + 2)**2/5
Factor 441*u**3 + 1492*u - 112*u**3 + 220*u**2 - 111*u**3 - 107*u**3 - 1708 - 115*u**3.
-4*(u - 61)*(u - 1)*(u + 7)
Suppose 5*k = 2*o - 1885, 5*o + k - 349 = 4404. Let b = -948 + o. Factor 2*r**3 + 2/3 + 14/3*r**b + 10/3*r.
2*(r + 1)**2*(3*r + 1)/3
Factor 20*z + 45*z**2 - 171 + 350 - 75*z**2 - 25*z**3 - 5*z**4 - 139.
-5*(z - 1)*(z + 2)**3
Let i(u) be the first derivative of -u**4/28 - 16*u**3/21 - 11*u**2/2 - 14*u + 516. Suppose i(q) = 0. Calculate q.
-7, -2
Let y = -3 + 6. Suppose 28*r = 4*d + 32*r - 864, -432 = -2*d - 4*r. Determine w so that 415*w + 20*w**y - 215*w - 4*w**5 - d*w = 0.
-2, -1, 0, 1, 2
Factor -16*h**2 + 8708699 + 17*h**2 + 1587*h - 129658 + 352*h + 3919*h.
(h + 2929)**2
Let s(y) = -9*y**4 + 251*y**3 - 1901*y**2 + 4466*y - 903. Let m(c) = 9*c**4 - 252*c**3 + 1901*c**2 - 4464*c + 902. Let h(k) = -3*m(k) - 2*s(k). Factor h(w).
-(w - 18)*(w - 5)**2*(9*w - 2)
Let d(j) be the third derivative of j**8/7200 + j**7/840 + j**6/225 - 49*j**5/30 - 246*j**2. Let y(k) be the third derivative of d(k). Let y(w) = 0. What is w?
-8/7, -1
Solve -49/8*t - 1/8*t**2 - 69/4 = 0 for t.
-46, -3
Let t be (-1)/(126/(-54) - -2). Let l(s) be the first derivative of 1/40*s**4 + 0*s**t - 3/20*s**2 + 1/5*s - 19. Suppose l(n) = 0. Calculate n.
-2, 1
Let p(x) be the first derivative of x**4/12 - 455*x**3/9 + 679*x**2/3 - 904*x/3 + 2856. Suppose p(d) = 0. Calculate d.
1, 2, 452
Suppose 192*p - 252 = 204*p. Let d be p/9 - (-78)/18. Suppose 1/2*z**d + 1/2*z + 0 = 0. What is z?
-1, 0
Let r(y) = 68*y**2 - 5808*y + 10. Let s(j) = 81*j**2 - 5808*j + 12. Let p(f) = -6*r(f) + 5*s(f). Factor p(i).
-3*i*(i - 1936)
Let w be 10088/1170 - (-140)/(-1386)*22. Determine l so that l**2 + w*l - 21/5 = 0.
-7, 3/5
Let b be -2 + -1 + ((-4)/6)/((-10)/90). Factor 6/19*n**2 - 2/19*n**b - 4/19*n + 0.
-2*n*(n - 2)*(n - 1)/19
Let t(o) = -o**3 - 10*o**2 - 11*o + 12. Let h be t(-9). Find x, given that -h*x**2 + 72*x + 30*x**2 - 12 - 47*x**3 + 14*x**3 - 27*x**2 = 0.
-2, 2/11, 1
Find l such that 0*l**2 + 10/7*l**3 - 40/7*l + 32/7 - 2/7*l**4 = 0.
-2, 1, 2, 4
Let o be ((75/(-125))/((-2)/10))/3. Let h be (-126)/(-54) - ((-4)/6 + o). Factor -1/2*q**h - 3/2*q + 2.
-(q - 1)*(q + 4)/2
Let i(z) be the second derivative of -14/27*z**3 + 2*z + 5 - 49/9*z**2 - 1/54*z**4. Factor i(q).
-2*(q + 7)**2/9
Let l(y) be the third derivative of 25*y**7/42 - 545*y**6/4 + 108229*y**5/12 - 35425*y**4/2 + 42250*y**3/3 + 103*y**2 - 4*y. Find c, given that l(c) = 0.
2/5, 65
Let f(v) = -10*v**2 + 20665*v - 41115. Let w(g) = g**2 - 2296*g + 4568. Let n(h) = -4*f(h) - 35*w(h). Factor n(l).
5*(l - 458)*(l - 2)
Suppose 26*z = 29*z - 45. Let m be z/(-105)*(2*-1 + 0). Determine k, given that 50/7*k**3 + m*k**5 - 16/7 - 76/7*k**2 - 16/7*k**4 + 8*k = 0.
1, 2
Let k(w) be the second derivative of 122*w - 34/33*w**3 + 1/132*w**4 + 0 + 578/11*w**2. Factor k(r).
(r - 34)**2/11
Let t = 68 - -156. Suppose t*j = 222*j + 6. Suppose -8/7*d + 6/7*d**2 + 0 + 2/7*d**j = 0. Calculate d.
-4, 0, 1
Let d(v) = v**4 + v**3 + 3*v**2 + v - 1. Let h(j) = 10*j**4 - 906*j**3 + 50130*j**2 + 215302*j - 6. Let l(t) = 6*d(t) - h(t). Factor l(r).
-4*r*(r - 116)**2*(r + 4)
Factor -68/3*j**2 + 64/3*j - 1/3*j**4 + 0 + 20/3*j**3.
-j*(j - 16)*(j - 2)**2/3
Let y(u) be the first derivative of u**5 + 285*u**4 + 20885*u**3 - 132820*u**2 + 201840*u - 2764. Factor y(k).
5*(k - 3)*(k - 1)*(k + 116)**2
Let o(v) be the second derivative of 47/2*v**3 + 5 + 39/20*v**5 + 41/4*v**4 + v + 27*v**2 + 1/10*v**6. Factor o(q).
3*(q + 1)**2*(q + 2)*(q + 9)
Let f(n) be the first derivative of n**6/9 - 8*n**5/15 - 19*n**4/6 + 68*n**3/9 + 20*n**2 - 48*n + 95. Determine s so that f(s) = 0.
-3, -2, 1, 2, 6
Let u = 76601 - 306393/4. Factor 9/2 - 3/4*f**3 + u*f - 13/2*f**2.
-(f - 1)*(f + 9)*(3*f + 2)/4
Determine f so that 3/10*f**5 + 0 - 3/10*f**3 + 2*f - 8/5*f**4 + 18/5*f**2 = 0.
-1, -2/3, 0, 2, 5
Let j(b) be the first derivative of -1/3*b**4 + 3*b - 10 + 0*b**3 + 2*b**2. Let i(z) be the first derivative of j(z). Determine s, given that i(s) = 0.
-1, 1
Let w(g) be the third derivative of -g**5/75 + 57*g**4 - 97470*g**3 - 13*g**2 - 28*g. Factor w(k).
-4*(k - 855)**2/5
Suppose -34*q = -36*q + 29766. Find h, given that 590*h - 13*h**2 - q + 7*h**2 + 9883 + h**2 - 12405 = 0.
59
What is i in 3529*i**3 + 180*i - 139*i**2 + 252 + 3387*i**3 - 6923*i**3 = 0?
-21, -6/7, 2
Let n(a) = a**4