n**5 - 5*n**4/4 - 50*n**3/3 - 20*n**2 + 6. Solve g(y) = 0.
-2, -1, 0, 4
Let t be 146/10 + (0 - 8/(-20)). Suppose 0 = 15*f - 60 - t. Let 10/9*z**4 - 20/9*z**3 + 20/9*z**2 - 2/9*z**f + 2/9 - 10/9*z = 0. What is z?
1
Let r(w) be the third derivative of 0 - 5/12*w**3 - 1/24*w**6 - 17*w**2 - 1/42*w**7 + 0*w + 1/8*w**5 + 5/448*w**8 + 5/96*w**4. What is x in r(x) = 0?
-1, -2/3, 1
Let j = 27 - 2. Suppose 3*v - 25 = 7*v + 5*d, 5*d = 2*v - j. Factor -2/7*n**3 - 2/7*n**4 + v + 2/7*n**2 + 0*n + 2/7*n**5.
2*n**2*(n - 1)**2*(n + 1)/7
Let u(j) be the first derivative of j**6/24 + 13*j**5/20 + 35*j**4/16 - 49*j**3/12 + 180. Factor u(t).
t**2*(t - 1)*(t + 7)**2/4
Solve -1 + 11/6*w + 1/6*w**3 - w**2 = 0.
1, 2, 3
Let y = -12 - -25/2. Let u be (7 + -3)*(-23 - -24). Factor 1/2*i**u + 0 + i**3 + y*i**2 + 0*i.
i**2*(i + 1)**2/2
Let q = 274171/11 + -24923. Factor -q + 20/11*c - 2/11*c**2.
-2*(c - 9)*(c - 1)/11
Let y(x) be the third derivative of -x**7/315 + 11*x**6/540 - 4*x**5/135 - x**4/27 - 131*x**2. Determine k, given that y(k) = 0.
-1/3, 0, 2
Solve 180*u + 138*u**2 - 22 + 3*u**4 + 36*u**3 + 54 + 43 = 0 for u.
-5, -1
Let x(g) = 2*g**3 - 14*g**2 + 6*g. Let t(c) be the first derivative of -c**4/4 + c**3/3 + c**2/2 + 29. Let w(r) = -6*t(r) - x(r). Factor w(q).
4*q*(q - 1)*(q + 3)
Let o(g) be the first derivative of 1/12*g**2 + 1/9*g**3 + 13 + 1/24*g**4 + 0*g. Determine q, given that o(q) = 0.
-1, 0
Suppose 6*t + 27 - 27 = 0. Suppose -8*x + 0*x + 16 = t. Factor -8/15*y + 8/15 + 2/15*y**x.
2*(y - 2)**2/15
Let t(z) be the first derivative of 22*z**5/5 + 19*z**4 + 6*z**3 - 18*z**2 + 166. Factor t(r).
2*r*(r + 1)*(r + 3)*(11*r - 6)
Let z(h) be the first derivative of -h**2 + 2/5*h**4 + 1/15*h**6 + 6 + 4/15*h**3 - 8/25*h**5 + 4/5*h. Solve z(g) = 0.
-1, 1, 2
Let b(v) = -v**3 - 1. Let s(a) be the third derivative of 239*a**6/120 + 117*a**5/20 + 5*a**4 + 4*a**3/3 - 23*a**2. Let k(f) = -4*b(f) + s(f). Solve k(l) = 0.
-1, -2/9
Suppose -k - 2590 = -2594. Let -k*x - 189/2*x**4 - 441/2*x**5 + 59*x**3 + 0 + 10*x**2 = 0. What is x?
-2/3, -1/3, 0, 2/7
Let h(w) = -w**3 + 2*w**2 - 2*w + 6. Let l be h(2). Factor 5*a**3 + 14*a + 3*a**l + 11*a + 10 + 17*a**2.
5*(a + 1)**2*(a + 2)
Let q(y) = -y**2 + 2. Let x(h) = -4*h**2 - 18*h + 6. Let u(j) = -3*q(j) + x(j). Let u(s) = 0. What is s?
-18, 0
Let y(z) be the first derivative of -5*z**6/6 - 4*z**5 - 25*z**4/4 - 10*z**3/3 + 172. Find w such that y(w) = 0.
-2, -1, 0
Find y, given that -2*y**4 - 12*y**4 + 5*y + 14*y**4 + 5*y**5 - 10*y**3 = 0.
-1, 0, 1
Let o = 3/1648 + -5091/80752. Let w = o + 17/49. Find u, given that -8/7*u**2 - 12/7*u**3 + 0 - w*u - 2/7*u**5 - 8/7*u**4 = 0.
-1, 0
Let l(x) be the second derivative of x**5/4 - 35*x**4/6 + 125*x**3/6 - 30*x**2 - 22*x. Suppose l(f) = 0. What is f?
1, 12
Let c(y) = -8*y**3 - 88*y**2 + 480*y - 356. Let h(g) = -3*g**3 - 29*g**2 + 160*g - 118. Let o(k) = 5*c(k) - 14*h(k). Factor o(m).
2*(m - 8)**2*(m - 1)
Let s = -5724 - -17174/3. Solve 2/3*v + 0 - s*v**4 - 2/3*v**3 + 2/3*v**2 = 0 for v.
-1, 0, 1
Let g = -7 - -10. Factor -5*l**3 + 5*l**3 + g*l**3 + 3*l**2 - 6*l.
3*l*(l - 1)*(l + 2)
Let r(q) be the second derivative of -q**5/50 + q**4/2 - 9*q**3/5 + 13*q**2/5 + 143*q + 3. Factor r(y).
-2*(y - 13)*(y - 1)**2/5
Let u = -5 + 8. Suppose 4*t - 45 = u. Factor -15*x**3 + 9*x**2 + t*x**3 - 6 - 4*x**4 + x**4 + 3*x.
-3*(x - 1)**2*(x + 1)*(x + 2)
Let c(b) be the third derivative of -b**5/150 + 17*b**4/6 - 1445*b**3/3 - b**2 - 34. Find p such that c(p) = 0.
85
Let f(w) be the first derivative of -529*w**4/42 + 92*w**3/21 - 4*w**2/7 - 10*w - 22. Let g(q) be the first derivative of f(q). Determine r so that g(r) = 0.
2/23
Let b(x) be the second derivative of -x**4/114 + 5*x**3/19 - 26*x**2/19 + 3*x + 28. Factor b(z).
-2*(z - 13)*(z - 2)/19
Let g(q) be the second derivative of -q**5/150 - 13*q**4/90 - 18*q. Determine d so that g(d) = 0.
-13, 0
Let o(m) be the first derivative of m**4/4 - m**3/3 - m**2 + 461. Factor o(s).
s*(s - 2)*(s + 1)
Let w(r) = -169 + 5*r**2 + 3*r**2 + 173 - r**3. Let a be w(8). Let -1/2*b**a + 0*b - 1/2 + 0*b**3 + b**2 = 0. What is b?
-1, 1
Let o(k) be the third derivative of k**8/672 - k**6/80 + k**5/60 - 5*k**2 - 1. Factor o(v).
v**2*(v - 1)**2*(v + 2)/2
Let h(z) = -4*z**4 - 10*z**3 + 18*z**2 - 4*z + 10. Let c(w) = 3*w**4 + 9*w**3 - 16*w**2 + 4*w - 8. Let q(u) = -5*c(u) - 4*h(u). What is k in q(k) = 0?
0, 1, 2
Factor 0 + 0*n**2 + 1/3*n**5 + 0*n + 2/3*n**3 + n**4.
n**3*(n + 1)*(n + 2)/3
Let p(k) be the third derivative of -k**7/105 + 11*k**6/60 + 2*k**5/5 - 37*k**4/3 + 176*k**3/3 + 572*k**2. Factor p(x).
-2*(x - 11)*(x - 2)**2*(x + 4)
Factor 209 + 32*q**2 + 2*q**3 + 280*q - 7*q**3 - 19*q**2 + 91 + 42*q**2.
-5*(q - 15)*(q + 2)**2
Let b(s) be the third derivative of 2*s**7/105 - 8*s**6/15 + 24*s**5/5 - 64*s**4/3 + 160*s**3/3 - 480*s**2 + s. Factor b(a).
4*(a - 10)*(a - 2)**3
Solve 1026*f**4 - 8*f**2 - 1028*f**4 + 0*f**2 - 10*f**3 = 0.
-4, -1, 0
Let l(m) = m**4 + m**3 - m + 1. Let r = 23 - 28. Let p = r - -15. Let j(v) = 7*v**4 + 3*v**3 - 5*v + 5. Let x(a) = p*l(a) - 2*j(a). Factor x(g).
-4*g**3*(g - 1)
Suppose -57 = -10*g + 153. Suppose g = 3*q + 3*w, 3*q - q = 4*w - 16. Factor 3/4*z**q + 3/2 + 11/4*z.
(z + 3)*(3*z + 2)/4
Let n(o) be the third derivative of o**7/1260 - 7*o**6/360 + 11*o**5/90 - 5*o**4/18 - 177*o**2. Suppose n(j) = 0. What is j?
0, 2, 10
Determine k so that 26/3*k**3 - 2/3*k**4 - 22/3*k**2 + 8 - 26/3*k = 0.
-1, 1, 12
Let g = -162/77 - -16/7. Let n = 46/331 - -818/3641. Factor -10/11*w**2 - g - 8/11*w - n*w**3.
-2*(w + 1)**2*(2*w + 1)/11
Let v(o) = -8*o**2 - 2*o + 16. Let s(f) be the first derivative of 7*f**3/3 + 2*f**2 - 16*f + 18. Let j(y) = 6*s(y) + 5*v(y). Factor j(w).
2*(w - 1)*(w + 8)
Let m(o) be the first derivative of -o**7/210 - 7*o**6/120 - o**5/4 - 3*o**4/8 - 11*o**2/2 + 2. Let d(l) be the second derivative of m(l). Factor d(t).
-t*(t + 1)*(t + 3)**2
Let c(j) = -2*j**3 - 3*j**2 + j + 4. Let s be c(-2). Let q be 9/s + (-92)/72. Let 4/9 - 4/9*k**2 + q*k**3 - 2/9*k = 0. What is k?
-1, 1, 2
Let l be 1221/(-22)*2/6. Let b = -18 - l. Factor -1/2*o**4 + 0*o + o**2 + 0 - b*o**3.
-o**2*(o - 1)*(o + 2)/2
Suppose -20*j = -22*j - 65*j. Factor -4/5*o + j + 1/5*o**2.
o*(o - 4)/5
Let l(y) be the first derivative of -3*y**4/28 + 2*y**3/7 + 30*y**2/7 + 72*y/7 - 47. Find n such that l(n) = 0.
-2, 6
Let c(s) be the second derivative of 6*s**6/25 + 363*s**5/100 - 263*s**4/20 + 77*s**3/5 - 36*s**2/5 + 79*s. Determine l so that c(l) = 0.
-12, 1/4, 2/3, 1
Let r(w) be the second derivative of 5/18*w**4 + 13*w - 7/12*w**5 + 0 - 5/3*w**2 + 35/18*w**3. Factor r(b).
-5*(b - 1)*(b + 1)*(7*b - 2)/3
Let x(s) be the third derivative of -s**5/12 + 5*s**4/6 + 166*s**2. What is z in x(z) = 0?
0, 4
Let d = 5 - 2. Suppose -3*i + 33 - d = 0. Factor -2*c**4 + 6*c**5 + 0*c**2 - c**4 + 2*c**2 + 17*c**4 + i*c**3.
2*c**2*(c + 1)**2*(3*c + 1)
Let w(o) = -14*o - 194. Let s be w(-14). Let u(m) be the first derivative of -1 + 2/3*m**3 + 3*m**s + 4*m. Suppose u(c) = 0. What is c?
-2, -1
Let a = -10120 + 10123. Factor 6/11*w**a + 12/11 + 8/11*w**2 - 26/11*w.
2*(w - 1)*(w + 3)*(3*w - 2)/11
Factor -4*f**2 - 24*f**4 - 8*f**5 + 7*f**3 + 4*f - 25*f**3 - 4*f.
-2*f**2*(f + 2)*(2*f + 1)**2
Let k(b) = 3*b**2 - 13*b - 20. Let r(t) = 14*t**2 - 53*t - 81. Let y(i) = 9*k(i) - 2*r(i). Let y(h) = 0. What is h?
-9, -2
Let u(d) be the first derivative of 5 - 2*d + 2/9*d**3 + 2/3*d**2. Solve u(k) = 0 for k.
-3, 1
Let l = 11 - 9. Let m be 5/1 + (1 - l). Find t such that -m*t + 4*t**3 + 2*t - 2*t**3 = 0.
-1, 0, 1
Factor -3194/7*a**2 - 156/7*a**3 - 5928/7*a - 2888/7 - 2/7*a**4.
-2*(a + 1)**2*(a + 38)**2/7
Determine v, given that -7/2 - 1/2*v**2 - 4*v = 0.
-7, -1
Let y be -1 + -1 - 825/(-525) - (-17)/7. Solve 3/2 - 3/4*w - 3/4*w**y = 0.
-2, 1
Suppose 5*g = t - 16 + 5, -g - t = 7. Let c be (g/(-2))/((-3)/(-8)). Factor 5 - 2 - 11 - 4*j + c*j**2.
4*(j - 2)*(j + 1)
Let j(u) be the first derivative of 2*u**4/13 - 58*u**3/39 + 31*u**2/13 - 12*u/13 - 38. Factor j(k).
2*(k - 6)*(k - 1)*(4*k - 1)/13
Find l, given that 3/4*l**2 - 63/4 + 15*l = 0.
-21, 1
Factor -27*r**3 - 8*r**3 + 0*r**2 - 100*r - 20 + 15*r**3 - 85*r**2.
-5*(r + 2)**2*(4*r + 1)
Let b(d) be the second derivative of d**5/390 + d**4/39 + d**3/13 - 3*d**2 + 20*d. Let o(f) be the f