 2)*(k + 3)*(5*k + 3)**2
What is g in -200*g + 0*g**4 - g**3 - 9*g**4 + 160 + 60*g**2 + 11*g**3 + 4*g**4 = 0?
-4, 2
Let y be ((18200/32)/13)/((-1)/4). Let l = y + 878/5. Find c, given that -9/5*c**2 + 0*c + 12/5 + l*c**3 = 0.
-1, 2
Let b(f) be the second derivative of 0 - 40*f + 1/36*f**4 + 27/2*f**2 + f**3. Factor b(j).
(j + 9)**2/3
Let t = -52 - -77. Solve -7 - 3 - 5*s**3 - 16*s**2 - 4*s**2 + 0*s**3 - t*s = 0 for s.
-2, -1
Let p(h) be the second derivative of h**6/840 + h**5/140 - 3*h**4/56 - 8*h**3/3 - 14*h. Let j(z) be the second derivative of p(z). Factor j(b).
3*(b - 1)*(b + 3)/7
Let t(s) be the third derivative of s**8/112 - 29*s**7/245 + 27*s**6/56 - 26*s**5/35 + 5*s**4/14 - 178*s**2. Solve t(z) = 0 for z.
0, 2/7, 1, 2, 5
Let n = -5430 - -48872/9. Find b, given that -n*b**2 - 32/9 - 16/9*b = 0.
-4
Let u(j) = -4*j**4 + 3*j**3 + 12*j**2 + 5*j + 5. Let i(o) = -3*o**4 + 4*o**3 + 11*o**2 + 4*o + 4. Let g(l) = -5*i(l) + 4*u(l). Factor g(r).
-r**2*(r + 1)*(r + 7)
Let v be ((-1521)/(-315) - 5)*-10. Factor -v + 16/7*c - 4/7*c**2.
-4*(c - 3)*(c - 1)/7
Let y = 700 + -700. Let k(f) be the third derivative of 0*f - 1/360*f**5 - 1/720*f**6 + 0*f**4 - 3*f**2 + y*f**3 + 1/2016*f**8 + 0 + 1/1260*f**7. Factor k(z).
z**2*(z - 1)*(z + 1)**2/6
Let g be ((-6)/10 + 1)/((-26)/(-130)). Factor 3/7 + 1/7*k**g - 4/7*k.
(k - 3)*(k - 1)/7
Let k = -11773 - -200143/17. Find u such that k*u**4 + 24/17*u + 26/17*u**2 + 12/17*u**3 + 8/17 = 0.
-2, -1
Let p(b) = -b**5 + 3*b**4 - 3*b**3 - 3*b**2 - 4. Let c(u) = u**3 + 1. Let o(y) = -20*c(y) - 5*p(y). Solve o(f) = 0.
-1, 0, 1, 3
Let c(l) be the first derivative of l**4 - 34*l**3/3 + 22*l**2 - 14*l + 323. What is d in c(d) = 0?
1/2, 1, 7
Let v(g) = -171*g + 16. Let c be v(3). Let b be -3*c/84 + -4. Factor -25/4*p**3 + b*p**2 + 3 + 14*p.
-(p - 3)*(5*p + 2)**2/4
Let g(a) be the third derivative of 1/240*a**5 + 0 + 13*a**2 + 0*a**3 + 0*a - 1/24*a**4. Let g(b) = 0. Calculate b.
0, 4
Suppose -3*n - 11 - 40 = -3*l, 0 = -4*n + 5*l - 64. Let b be (-6)/4*28/n. Determine i, given that 2 - 2*i - 1 - 2 + 0*i**2 + 3*i**b = 0.
-1/3, 1
Let b = 620168/20135 + -2/4027. Let y(f) = 7*f - 4. Let k be y(1). Suppose -98/5*i**k - b*i**2 - 64/5*i - 8/5 = 0. Calculate i.
-1, -2/7
Let k(p) be the second derivative of -1/8*p**4 + 0*p**2 + 0*p**3 + 0 - 8*p + 3/80*p**5. Factor k(i).
3*i**2*(i - 2)/4
Let f(j) be the second derivative of -j**8/1680 + j**7/315 + j**6/60 - j**4/12 + j**3 - j - 8. Let g(i) be the third derivative of f(i). Factor g(z).
-4*z*(z - 3)*(z + 1)
Let p(w) be the second derivative of -w**4/6 - 12*w**3 - 99*w**2 + 114*w. Factor p(c).
-2*(c + 3)*(c + 33)
Let s(a) = -4*a**3 + 644*a**2 - 10112*a - 2060. Let y(x) = -5*x**3 + 643*x**2 - 10112*x - 2058. Let f(i) = -5*s(i) + 6*y(i). What is d in f(d) = 0?
-1/5, 32
Suppose -3*r**2 + 4 + 5*r**2 - 992*r - r**3 + 999*r = 0. What is r?
-1, 4
Determine f so that 12*f + 8*f**4 + 3*f**5 - 27*f**3 - 9*f**4 - 72 + 0*f**5 + 66*f**2 - 5*f**4 = 0.
-3, -1, 2
Let m(c) = -5*c**3 - 2*c**2 + 3*c - 6. Let y(a) = -12*a**3 - 6*a**2 + 5*a - 12. Let o(l) = -10*m(l) + 4*y(l). Determine s, given that o(s) = 0.
-2, 1, 3
Let d = -465 - -785. Let c = d - 316. Determine k, given that -2/9*k**5 + 0*k + 0 + 0*k**c + 0*k**3 + 0*k**2 = 0.
0
Factor 53 - 36 + 8*i + i**2 - 26.
(i - 1)*(i + 9)
Let s be -5*(2 - (-12)/(-4)). Let k = 12 - 8. Let -3 + 20*f - 16*f**3 + 8*f**2 - k*f**5 - 16*f**4 + 11 - s*f**5 + 5*f**5 = 0. What is f?
-2, -1, 1
Factor -8*a**2 + 4/3*a**3 + 44/3*a - 8.
4*(a - 3)*(a - 2)*(a - 1)/3
Let j(d) be the first derivative of -d**6/12 + d**5/6 + 5*d**4/24 - 5*d**3/18 - d**2/6 + 50. What is r in j(r) = 0?
-1, -1/3, 0, 1, 2
Let n(v) be the first derivative of -v**6/2 + 57*v**5/5 + 123*v**4/4 + 21*v**3 - 82. Factor n(q).
-3*q**2*(q - 21)*(q + 1)**2
Let t(c) be the first derivative of c**6/63 - c**4/7 + 16*c**3/63 - c**2/7 - 33. Factor t(r).
2*r*(r - 1)**3*(r + 3)/21
Let i be 24/(-20)*(-5)/2. Factor 28/11*l - 14/11*l**2 - 16/11 + 2/11*l**i.
2*(l - 4)*(l - 2)*(l - 1)/11
Let x(o) = 2*o**2 - 12*o + 3. Let r(f) = -f**3 - 2*f**2 + 11*f - 3. Let k(v) = -5*r(v) - 4*x(v). Let d(t) = t**3 - t + 1. Let y(i) = 3*d(i) - k(i). Factor y(p).
-2*p*(p - 1)*(p + 2)
Solve 0 + 36*o + 3/2*o**3 - 15*o**2 = 0 for o.
0, 4, 6
Let i(x) = 2*x - 3. Let d be ((-28)/(-6))/(6/9). Let n be i(d). Factor 2*g**3 + 12*g + g**2 + 2*g**2 - n*g.
g*(g + 1)*(2*g + 1)
Let j = 26 + -24. Suppose -4*d = j*d - 3*d. What is q in 0*q**2 - 2/5*q**3 + d*q + 0 = 0?
0
Let i(h) = -4*h**2 + 16. Let r(j) be the second derivative of -j**4/12 - j**2/2 + 18*j. Let a(f) = -i(f) + 2*r(f). Factor a(g).
2*(g - 3)*(g + 3)
Find u such that -371*u - 101*u**2 + 371*u + 153*u**3 - 223*u**2 - 22*u**4 + u**5 = 0.
0, 4, 9
Let t be 27*(-2)/(-16)*(-16)/(-24). Let q(g) be the first derivative of -t*g**4 - 13 - 3/2*g**2 + 0*g - 3/5*g**5 - 3*g**3. Determine l so that q(l) = 0.
-1, 0
Let l(m) be the first derivative of 10*m**4 + 5/6*m**6 + 0*m - 6*m**5 + 34 + 10*m**3 - 45/2*m**2. Factor l(j).
5*j*(j - 3)**2*(j - 1)*(j + 1)
Let j = 4119/2 - 2059. Determine u, given that 7/4*u + 7/4*u**2 + j + 1/2*u**3 = 0.
-2, -1, -1/2
Suppose 4*v + 5*s = 997 + 495, 2*v + s = 746. Solve -v*q - 96 + 213*q - 660*q**2 - 332*q - 75*q**3 = 0.
-8, -2/5
Let s be 2/(-3) - 88/(-24). Let -z**3 - 5*z**3 + 5*z - 3*z**s + 5*z**5 - z**3 = 0. Calculate z.
-1, 0, 1
Let i(v) = 6*v**5 + 18*v**4 + 66*v**3 + 54*v**2 + 3. Let l(n) = -13*n**5 - 34*n**4 - 133*n**3 - 108*n**2 - 7. Let u(s) = 7*i(s) + 3*l(s). Factor u(a).
3*a**2*(a + 2)*(a + 3)**2
Let z(u) be the third derivative of -1/24*u**6 + 2/105*u**7 + 0*u**4 + 1/30*u**5 - 1/336*u**8 + 4*u**2 + 0 + 0*u**3 + 0*u. Find k, given that z(k) = 0.
0, 1, 2
Determine o, given that 9*o**4 + 70*o**2 - 39*o + 1922*o**3 + 12 + 29*o**2 - 24*o - 1979*o**3 = 0.
1/3, 1, 4
Let f(u) = 6*u**2 - 14*u - 12. Let z(k) = 2*k + 1 + 2*k - k**2 + 0*k - 3*k. Let d(l) = f(l) + 12*z(l). Let d(y) = 0. What is y?
-1/3, 0
Let f be 3 + -2 + (-17)/544*8. Solve f*w**3 + 0*w + 3/4*w**2 + 0 = 0 for w.
-1, 0
Let n(b) be the second derivative of b**5/30 + b**4/6 - b**3 - 7*b**2 - 8*b. Let d(c) be the first derivative of n(c). What is r in d(r) = 0?
-3, 1
Let 3/5*d + 3/5*d**2 + 1/5 + 1/5*d**3 = 0. Calculate d.
-1
Let k(w) = 2*w**2 + 46*w - 42. Let b(t) = t**2 + 45*t - 41. Let v(f) = 6*b(f) - 5*k(f). Factor v(j).
-4*(j - 9)*(j - 1)
Factor 32 - 26 - k**4 + 4*k**2 - 2*k**2 - 2*k**2 + 11*k - 3*k**3 + 3*k**2.
-(k - 2)*(k + 1)**2*(k + 3)
Let n(a) be the first derivative of -a**6/600 - a**5/50 - a**4/24 + 3*a**2/2 + 6. Let y(z) be the second derivative of n(z). Find o, given that y(o) = 0.
-5, -1, 0
Let y(w) be the second derivative of -25/3*w**3 + 125/12*w**4 + 0 + 11*w + 5/2*w**2. Determine z so that y(z) = 0.
1/5
Suppose -99 = -4*y - 4*d - d, -5*d = 5. Let x be (-18)/(-20) - 13/y. What is c in 6/5*c - x*c**2 + 8/5 = 0?
-1, 4
Let r(l) be the second derivative of 0*l**3 + 0 + 2/7*l**2 - 1/21*l**4 - 19*l. Let r(j) = 0. What is j?
-1, 1
Solve -35 + 286*x - 44*x + 14*x**2 + 103 = 0 for x.
-17, -2/7
Solve -9*l**2 + 5*l**4 + 4*l**4 + 3*l**2 + 6*l**3 + 3*l**2 + 0*l**2 = 0 for l.
-1, 0, 1/3
Let r(g) = -g**3 - g**2 + 2*g. Let k(w) = -45*w**3 + 135*w**2 - 122*w + 32. Let d(o) = 2*k(o) + 10*r(o). Let d(u) = 0. Calculate u.
4/5, 1
Let g = -357 - -363. Let n(r) be the third derivative of 2/105*r**5 + 4*r**2 + 1/420*r**g + 0*r + 0 + 2/21*r**3 + 5/84*r**4. Factor n(s).
2*(s + 1)**2*(s + 2)/7
Find d, given that 5876/7*d - 4142/7*d**2 + 152/7*d**4 + d**5 - 1352/7 + 439/7*d**3 = 0.
-13, 2/7, 2
Suppose 9*k - 12 = 24. Let m(j) be the third derivative of 0*j + 1/1344*j**8 + 0*j**5 + 0 + 0*j**3 + 1/480*j**6 + 0*j**k - 1/420*j**7 - 4*j**2. Factor m(v).
v**3*(v - 1)**2/4
Let -2/5*i**2 - 128/5 - 32/5*i = 0. What is i?
-8
What is n in -46*n**4 + 38*n**4 + 92*n**3 + 3*n - 98*n**5 + 56*n**2 - 48*n**4 + 3*n = 0?
-1, -3/7, -1/7, 0, 1
Suppose 0 = 3*v + 12, 4*v = -2*h - 3*h - 6. Let q(b) be the first derivative of -5/18*b**3 - 2/3*b - 2/3*b**h - 1/24*b**4 - 7. Find r such that q(r) = 0.
-2, -1
Factor -12*m - 434*m**3 + 433*m**3 - 15*m + 9*m**2 + 16 + 3*m.
-(m - 4)**2*(m - 1)
Let n(r) = r**2 - r + 27. Let i be n(0). Factor -2*y + 11*y**2 + 11*y**2 - i*y**2 + 7*y**2.
2*y*(y - 1)
Let 270*d - 3/2*d**2 - 12150 = 0. What is d?
90
Let n(b) be the first deriv