d derivative of 0 + 0*o + 7*o**a + 0*o**3 + 0*o**4 - 1/150*o**5. Factor c(q).
-2*q**2/5
Factor -n + 1/2*n**4 + 0*n**3 + 0 - 3/2*n**2.
n*(n - 2)*(n + 1)**2/2
Determine q, given that 1/10*q**4 + q**3 + 2 - 14/5*q - 3/10*q**2 = 0.
-10, -2, 1
Let h(o) = o**2 + 38*o + 17. Let v(l) = 13*l + 6. Let u = -37 - -40. Let z(q) = u*h(q) - 8*v(q). Find m, given that z(m) = 0.
-3, -1/3
Factor 70/11 - 2/11*m**2 + 68/11*m.
-2*(m - 35)*(m + 1)/11
Let m(t) = -t**2 - 6*t - 1. Let p be m(-6). Let d(v) = v**3 + v**2 + 1. Let u(y) = 2*y**3 + 7*y**2 - 35*y + 17. Let s(w) = p*u(w) - 3*d(w). Solve s(x) = 0.
-4, 1
Let s(x) be the third derivative of -x**5/120 + 25*x**4/24 - 625*x**3/12 + 49*x**2. Factor s(o).
-(o - 25)**2/2
Let c = 219 - 216. Suppose -c*v + 5*v = -4*v. Suppose 4/5*i**5 + v*i**4 - 8/5*i**3 + 0*i**2 + 4/5*i + 0 = 0. Calculate i.
-1, 0, 1
Determine a so that 3*a**2 - 14*a**2 + 6*a**2 + 10 - 5*a = 0.
-2, 1
Let x be ((-7)/14)/((-3)/12). Suppose 15*r**5 - x*r + 20*r**4 - 10*r**3 + 52*r**2 - 3*r - 72*r**2 = 0. What is r?
-1, -1/3, 0, 1
Let m(d) = 2*d**3 - 5*d**2 + 83*d - 158. Let c be m(2). Factor -t**2 + t**c + 0*t**3 - 1/2*t**5 + 1/2*t + 0.
-t*(t - 1)**3*(t + 1)/2
Let w(x) be the third derivative of 64*x**7/1365 + 24*x**6/65 + 122*x**5/195 - 15*x**4/13 + 25*x**3/39 + 38*x**2. Find j such that w(j) = 0.
-5/2, 1/4
Let g(m) = 20*m**3 - 107*m**2 + 47*m + 35. Let v(y) = 20*y**3 - 108*y**2 + 48*y + 36. Let t(u) = 4*g(u) - 5*v(u). Factor t(a).
-4*(a - 5)*(a - 1)*(5*a + 2)
Let q(z) be the first derivative of z**6/21 - 6*z**5/35 + z**4/7 + 4*z**3/21 - 3*z**2/7 + 2*z/7 - 206. Let q(d) = 0. What is d?
-1, 1
Suppose -24 + 1 = -12*o + 1. Find j such that o*j**4 + 4*j - 8/3 - 11/3*j**3 + 2/3*j**2 - 1/3*j**5 = 0.
-1, 1, 2
Let o = 13 + -14. Let s = o + 3. Factor 2*h**2 + 2*h**3 + 2 + 3*h**2 + 6*h + h**s.
2*(h + 1)**3
Let i(m) = 2 - 16 + 51*m**3 + 30*m**3 - 26*m**2 + 84*m - 129*m**2. Let g(n) = -243*n**3 + 466*n**2 - 252*n + 43. Let f(x) = 2*g(x) + 7*i(x). Factor f(u).
3*(u - 1)*(3*u - 2)*(9*u - 2)
Suppose -12 = -2*x - 2. Let d(u) be the third derivative of 1/20*u**6 - 3*u**2 + 0*u + 4/15*u**x - 2/3*u**3 + 1/4*u**4 + 0. Find m such that d(m) = 0.
-2, -1, 1/3
Let j(z) = -z + 3. Let s be j(-5). Let a be s/(-36)*(-8 - -1). Find c such that -8/9 + 16/9*c - 10/9*c**3 + a*c**2 = 0.
-1, 2/5, 2
Suppose 0 = 10*f - 0*f - 180. Suppose f*i = 6*i. Factor 1/4*r**3 + 1/4*r**2 + 0 + i*r.
r**2*(r + 1)/4
Let n be -22 - (-22740)/630 - 3/21*-4. Factor -8/9 - n*h + 140/9*h**2.
4*(h - 1)*(35*h + 2)/9
Let a(h) be the third derivative of -h**6/600 + h**5/100 - h**4/60 + 152*h**2. What is p in a(p) = 0?
0, 1, 2
Let -11/4*q + 9/2 - 2*q**2 + 1/4*q**3 = 0. What is q?
-2, 1, 9
Let b = -11539 + 34619/3. Factor 7/3*i**2 + 0 + b*i + 8/3*i**3 + i**4.
i*(i + 1)**2*(3*i + 2)/3
Suppose -95*b**3 + 223*b**2 - 6*b**4 - 94*b**2 + 32*b - 111*b**2 = 0. Calculate b.
-16, -1/2, 0, 2/3
Let r(c) be the second derivative of 0 + 0*c**2 - 4/3*c**3 - c**4 - 16*c. Factor r(x).
-4*x*(3*x + 2)
Suppose f - 14 = 4*q, -35 = -3*f + 2*q - 13. Let g(h) be the third derivative of -f*h**2 + 1/30*h**6 + 5/2*h**4 + 0 + 6*h**3 + 7/15*h**5 + 0*h. Factor g(z).
4*(z + 1)*(z + 3)**2
Suppose -4*r = -244 + 236. Let u(x) be the first derivative of 4/33*x**3 + 6 + 0*x + 0*x**r - 1/22*x**4. Factor u(o).
-2*o**2*(o - 2)/11
Determine a so that -32/19*a + 44/19*a**2 + 0 - 10/19*a**3 - 2/19*a**4 = 0.
-8, 0, 1, 2
Let f(s) be the second derivative of 5/12*s**4 - 5/3*s**3 + 0 + 5/2*s**2 - 4*s. Factor f(k).
5*(k - 1)**2
Let c(f) = 6*f**3 - f**2. Let z be c(1). Let -16*y**2 - 9*y**2 + z*y**3 - 23*y + 43*y = 0. What is y?
0, 1, 4
Let o(j) = j**2 - 328*j - 4785. Let h be o(-14). Factor 1/5*t**4 + 21/5*t**2 + 8/5*t**h + 18/5*t + 0.
t*(t + 2)*(t + 3)**2/5
Let y(c) be the third derivative of c**8/168 + 4*c**7/105 + c**6/20 - 2*c**5/15 - c**4/3 - 478*c**2. Determine d, given that y(d) = 0.
-2, -1, 0, 1
Let b(v) be the third derivative of v**6/240 - 17*v**5/10 + 289*v**4 - 78608*v**3/3 - 151*v**2. Factor b(j).
(j - 68)**3/2
Let a(g) = g**2 + 3*g - 12. Let b be a(-6). Suppose -5*y + 12 = -2*r, 4*y - b = -3*r - 1. Factor 3*u - u**2 + 4*u**3 + u - u**2 - 6*u**y.
4*u*(u - 1)**2
Factor 2/9*u**4 + 2/3*u**3 + 0*u - 20/9*u**2 + 0.
2*u**2*(u - 2)*(u + 5)/9
Let l(v) = 2*v + 7. Let b be l(-3). Let -76*d - 5 - 1 - 81*d**3 - 198*d**2 + b - 3 = 0. What is d?
-2, -2/9
Let m(w) be the second derivative of 5*w**9/3024 - w**8/28 + 3*w**7/14 - 14*w**3/3 + 27*w. Let u(x) be the second derivative of m(x). Factor u(l).
5*l**3*(l - 6)**2
Let v be (3*(-2)/9)/((-33)/792). Factor -44*o - 21*o**2 + 8 + 23*o**2 - v*o**2 - 10*o**2.
-4*(o + 2)*(6*o - 1)
Suppose 8 = 13*g - 9*g. Factor 4*p**2 - 5*p**g - 12*p - p**2.
-2*p*(p + 6)
Let z be (-2 + 5/10)*-2*1. Let v be -5 - (z - 132/16). Suppose -1/2*m**2 + 0*m**3 - v*m + 1/2*m**4 + 1/4*m**5 + 0 = 0. Calculate m.
-1, 0, 1
Let r(o) be the second derivative of -o**5/40 - o**4/24 + 5*o**3/12 - 3*o**2/4 + 19*o. Solve r(h) = 0.
-3, 1
Factor 6*o**2 + 4*o + 0*o**2 + 11*o + 6 - 26*o - o**3.
-(o - 3)*(o - 2)*(o - 1)
Let f(l) be the third derivative of -l**5/420 + 5*l**4/168 - 2*l**3/21 - 39*l**2. Determine m so that f(m) = 0.
1, 4
Let l(y) be the third derivative of y**8/28 - 33*y**7/70 - 14*y**6/5 - 49*y**5/10 - 3*y**4/2 + 11*y**3/2 - 502*y**2. Find z, given that l(z) = 0.
-1, 1/4, 11
Let n(k) = k**2 + 2*k + 1. Let d(r) = 12*r**2 + 476*r + 464. Let c(s) = -d(s) + 8*n(s). Solve c(x) = 0.
-114, -1
Let b = 6 - 10. Let z(o) = -o**3 - o + 1. Let d(l) = -2*l**3 + 4*l**2 - 10*l + 4. Let v(f) = b*z(f) + d(f). Determine a, given that v(a) = 0.
-3, 0, 1
Let l be (-59)/(-9) + -167 + 166. Solve -2/9*b**2 + 20/9*b - l = 0.
5
Let f be (-26)/(-8) + -3 + (28/16)/1. Factor 3/2*y - 3/4*y**f - 3/4.
-3*(y - 1)**2/4
Let z(p) = -p**3 - 23*p**2 + 143*p - 119. Let m(n) = -9*n**3 - 184*n**2 + 1144*n - 951. Let x be -1 + 5 - (38 + -28). Let q(y) = x*m(y) + 51*z(y). Factor q(h).
3*(h - 11)**2*(h - 1)
Let f be (-3)/(-5) - (2202/20 + 1). Let m = 2435/22 + f. Solve m*w**3 + 4/11*w**2 + 0 + 2/11*w = 0.
-1, 0
Let j(u) = u - 12. Let m be j(-4). Let l be m/(-72)*1 + (-4)/(-18). Suppose 10/9*t**2 - 10/9*t**4 - 4/9*t**3 + l*t + 0 = 0. What is t?
-1, -2/5, 0, 1
What is y in 16*y**2 - 4*y**4 - 52*y**3 + 4*y**3 - 4 + 4 + 12*y**5 = 0?
-2, 0, 1/3, 2
Let h(i) = i**2 - 33*i - 10. Let u(w) = w**2 - 49*w - 14. Let x(g) = 7*h(g) - 5*u(g). Factor x(q).
2*q*(q + 7)
Let j(i) be the second derivative of i**5/30 + 20*i**4/9 + 148*i**3/9 + 48*i**2 + 10*i + 11. Factor j(k).
2*(k + 2)**2*(k + 36)/3
Let u(q) = 5*q**2 - 8*q - 7. Let r(n) = -20*n**2 + 32*n + 29. Let j = 90 + -64. Let i(s) = j*u(s) + 6*r(s). Let i(m) = 0. What is m?
-2/5, 2
Let a(s) be the third derivative of s**8/40320 - s**6/4320 - 11*s**4/12 - 8*s**2. Let b(t) be the second derivative of a(t). Factor b(u).
u*(u - 1)*(u + 1)/6
Let w(d) be the third derivative of -d**6/1260 + d**5/210 - d**4/126 + 52*d**2. Factor w(q).
-2*q*(q - 2)*(q - 1)/21
Let y be 2 + 7 + -267*2/60. Find g such that y*g + 1/10*g**2 - 1/10 - 1/10*g**3 = 0.
-1, 1
Let t(b) be the third derivative of b**8/30240 + b**7/1080 + 3*b**5/10 + 37*b**2. Let l(s) be the third derivative of t(s). Solve l(v) = 0.
-7, 0
Let k(y) = y**3 - y + 2. Let s(m) = 7*m**3 - 2*m**2 - 33*m + 58. Let i(u) = 5*k(u) - s(u). Determine p so that i(p) = 0.
-4, 2, 3
Let d be (-6)/27 - (-5236)/(-819). Let w = 185/26 + d. Factor -3*t**3 + 0 + 5/4*t**4 - w*t + 9/4*t**2.
t*(t - 1)**2*(5*t - 2)/4
Suppose 2*n - 5*u = 57, 0*u - u - 33 = -n. Find z such that -22 + 58 + 3*z**2 + 72 - n*z = 0.
6
Let h be 10/2 - (-33)/44*-12. Let l(k) = 2*k**3 + 11*k**2 + 14*k + 10. Let f be l(h). Factor 4/3*j + 2/3*j**f + 0.
2*j*(j + 2)/3
Let z be 10 + (2/2 - 11). Find d such that z*d - 3/5*d**2 - 3/5*d**3 + 0 = 0.
-1, 0
Let y be (-28)/(-42)*18/4. Let d(s) = 2*s**3 - 3*s**2 - 4. Let n(a) = a**3 + a - 1. Let z(q) = y*n(q) - d(q). Let z(t) = 0. What is t?
-1
Let n = -22 + 24. Find a such that 4 - 2*a + 2*a**3 + 0*a**2 + 3*a**n - 7*a**2 = 0.
-1, 1, 2
Let u(y) be the third derivative of y**8/252 - y**7/35 + 7*y**6/90 - y**5/10 + y**4/18 + 8*y**2 + 2*y. What is a in u(a) = 0?
0, 1/2, 1, 2
Let d = 13/131962 - 97131897/79837010. Let x = -2/121 - d. Suppose -4/5*a**4 + 0 + 0*a**2 - x*a**3 + 2/5*a = 0. Calculate a.
-1, 0, 1/2
Let w(d) be t