*w**5 - 7*w**4/3 + 127*w. Factor f(c).
4*c**2*(c - 7)*(c - 1)**2
Suppose -6*x + 3*b = -3*x + 6, b - 2 = 5*x. Let m(v) be the second derivative of -1/8*v**4 - 1/4*v**2 + 6*v + x - 1/40*v**5 - 1/4*v**3. Solve m(u) = 0 for u.
-1
Suppose 2*j + j - 12 = 0, r + 2*j = 13. Suppose -5*a + a + q = -17, -5*a + r*q + 40 = 0. Find b such that -36/7*b**2 - 6/7 + 15/7*b**a + 27/7*b = 0.
2/5, 1
Let b(k) be the first derivative of k**6/6 + 3*k**5/5 - 9*k**4/4 - 9*k**3 - 130. Suppose b(c) = 0. What is c?
-3, 0, 3
Let l = -437 + 735. Let 10 - 10*q**2 + l*q**3 + 60*q - 5*q**5 - 353*q**3 + 30 - 30*q**4 = 0. What is q?
-2, -1, 1
Let l be (-2)/5*1*48/(-16). Let p be 6/(1*(-30)/(-4)). Suppose 0 + p*g - l*g**2 + 4/5*g**4 - 6/5*g**3 = 0. What is g?
-1, 0, 1/2, 2
Let t be 11/(-38) - (-6)/12. Factor -t - 4/19*s**2 + 10/19*s.
-2*(s - 2)*(2*s - 1)/19
Let i be ((-12)/(-14))/((-15)/(-70)). Suppose z - 60 = -i*z. Factor -z*x**2 + 1 - x**4 - 1 + 8*x + 5*x**4.
4*x*(x - 1)**2*(x + 2)
Let z(d) = -3*d**2 + 1020*d + 54. Let p(j) = j**2 - 255*j - 12. Let w(u) = -9*p(u) - 2*z(u). Solve w(g) = 0.
0, 85
Let b = -41 + 6. Let k = b + 38. Solve -1/2*z**2 + 3/2*z**k - 3/2*z - 1/2*z**4 + 1 = 0.
-1, 1, 2
Let l(c) be the third derivative of 8/3*c**3 + 1/60*c**6 - 1/3*c**4 - 1/15*c**5 + 0*c + 0 + c**2. Factor l(n).
2*(n - 2)**2*(n + 2)
Factor 188*c**3 + 8*c**2 + c**5 + 22*c**4 + 132*c**2 - 300*c - 51*c**3.
c*(c - 1)*(c + 3)*(c + 10)**2
Let t(i) = 2*i**2 - 5*i + 2. Let g be (-40)/(-5) - -1*1. Let d(o) = 2*o + 2 + 2 - o**2 - 5. Let m(h) = g*d(h) + 4*t(h). What is z in m(z) = 0?
-1
Suppose -12*i - 20*i = 17*i. Let i*z - 2/3*z**2 + 0 + 2/9*z**3 = 0. What is z?
0, 3
Determine w, given that 16*w**2 + 52/3*w**4 - 3*w**5 - 32*w**3 + 0 + 16/3*w = 0.
-2/9, 0, 2
Let d(i) = -i**2 + 34*i - 59. Let m be d(32). Let o(f) be the second derivative of 1/5*f**m + 2/3*f**3 + 0 + 0*f**2 - 11*f + 2/3*f**4. Factor o(y).
4*y*(y + 1)**2
Suppose -80*g**3 - 8*g**2 + 72*g**4 + 24*g**2 + 62*g**4 - 34*g**4 = 0. Calculate g.
0, 2/5
What is y in -56/3 - 2/3*y**2 + 58/3*y = 0?
1, 28
Find g such that 13/4*g**4 + 1/8*g**5 - 13/2*g**2 + 1/8*g + 13/4 - 1/4*g**3 = 0.
-26, -1, 1
Let o(i) be the third derivative of 1/80*i**5 - 14*i**2 - 1/16*i**4 + 0 + 0*i - 3/8*i**3. Factor o(w).
3*(w - 3)*(w + 1)/4
Factor -1147*y**4 + 1144*y**4 + 9 + 18*y**2 - 23*y - y.
-3*(y - 1)**3*(y + 3)
Suppose -2 = 50*g - 51*g. Suppose -u = 2*o - 12, g*o - o = -3*u + 11. Factor 3/4 - 3/2*s + 3/4*s**u.
3*(s - 1)**2/4
Factor -1/2*n**2 + 0*n - 3/4*n**3 + 0 - 1/4*n**4.
-n**2*(n + 1)*(n + 2)/4
Factor 3/2*k**3 - 24 - 41*k - 13/2*k**2.
(k - 8)*(k + 3)*(3*k + 2)/2
Factor 17*x**3 + 2*x**3 - 14*x**3 + 4*x**4 + 11*x**3 - 48*x**2.
4*x**2*(x - 2)*(x + 6)
Let n(f) = f**2 - 49*f + 7. Let i(x) = 3*x - 1. Let l(h) = 14*i(h) + 2*n(h). Factor l(j).
2*j*(j - 28)
Suppose 2*x = 5*w + 18, -2*w + 21 = 25. Factor -8/13*q - 10/13*q**3 + 0 + 16/13*q**2 + 2/13*q**x.
2*q*(q - 2)**2*(q - 1)/13
Let f(y) = y**2 + 9*y + 2. Let d be f(-9). Suppose -31*s + 30*s = -d. Factor -1/4*p**s + 0*p + 0 + 3/8*p**3 - 1/8*p**4.
-p**2*(p - 2)*(p - 1)/8
Let w = -22 + 35. Factor -4*m + 3*m**2 - 6 - 6*m + w*m.
3*(m - 1)*(m + 2)
Let t(b) be the second derivative of b**8/6720 - b**7/630 + b**6/144 - b**5/60 + 5*b**4/12 + 8*b. Let q(m) be the third derivative of t(m). Factor q(o).
(o - 2)*(o - 1)**2
Solve -11*f**3 - 9*f**2 - 8*f**3 + 12*f + 6*f**3 - 3*f**4 + f**3 + 12 = 0.
-2, -1, 1
Let a(s) be the first derivative of 584/35*s**5 + 16/7*s - 60/7*s**3 + 8 - 20/7*s**2 + 125/14*s**4 + 5*s**6. Let a(r) = 0. Calculate r.
-2, -1, -2/5, 2/7, 1/3
Find j such that 659*j**2 + 193*j**2 + 34597*j + 348*j**2 + 4*j**3 + 12426*j + 72977*j + 4000000 = 0.
-100
Let w(h) be the third derivative of -h**9/12096 - h**8/1344 - h**7/336 - h**6/144 + h**5/10 - 18*h**2. Let o(y) be the third derivative of w(y). Factor o(l).
-5*(l + 1)**3
Solve -28/11*l - 196/11 - 1/11*l**2 = 0 for l.
-14
Let o(i) = 9*i**2 + 1161*i + 34. Let p(v) = -3*v**2 - 387*v - 12. Let x(g) = 6*o(g) + 17*p(g). Factor x(u).
3*u*(u + 129)
Let c be -4*2*3/24. Let k be c/((-5)/(30/8)). Determine g, given that -3/4*g**2 - k*g + 3/2 = 0.
-2, 1
Let g(s) be the second derivative of -13/24*s**3 - 10*s + 0 - 7/80*s**5 + 13/24*s**4 - 3/4*s**2. Factor g(k).
-(k - 3)*(k - 1)*(7*k + 2)/4
Factor -13*u + 9*u**2 - 10 - 18*u**2 + 8*u**2 - 20.
-(u + 3)*(u + 10)
Let y(m) be the third derivative of -m**8/1008 + 2*m**7/45 - 221*m**6/360 + 169*m**5/90 - 571*m**2. Solve y(x) = 0.
0, 2, 13
Let n(w) be the first derivative of -2*w**5/5 - w**4/2 + 6*w**3 + 9*w**2 - 314. Suppose n(l) = 0. Calculate l.
-3, -1, 0, 3
Let g(q) = 43*q**2 - 30*q + 5. Let a(f) = 65*f**2 + 79*f - 19*f - 150*f**2 - 10. Let x(o) = 2*a(o) + 5*g(o). Determine c, given that x(c) = 0.
1/3
Suppose 118*j + 288 = 166*j. Let i(k) be the third derivative of 0*k + 1/150*k**5 + 0*k**3 + 7*k**2 + 0 - 1/90*k**4 - 1/900*k**j. Suppose i(a) = 0. What is a?
0, 1, 2
Factor -12 + 135*h**2 + 69/2*h**3 + 126*h.
3*(h + 2)**2*(23*h - 2)/2
Let r(m) be the second derivative of -m**7/4620 + m**6/792 - m**5/330 - m**4 + 6*m. Let u(v) be the third derivative of r(v). Let u(h) = 0. What is h?
2/3, 1
Let a(g) be the third derivative of g**5/12 - 25*g**4/6 + 95*g**3/6 - 141*g**2. Factor a(v).
5*(v - 19)*(v - 1)
Let s(a) = a**3 - 12*a**2 + a - 5. Let d be s(12). Let n(b) = b**3 - 8*b**2 + 8*b - 4. Let j be n(d). Factor 6/5*l**j - 6/5*l + 3/5 - 3/5*l**4 + 0*l**2.
-3*(l - 1)**3*(l + 1)/5
Let h be 492/180 - (-2 - (3 + (-108)/20)). Factor 13/3*c - 1/3*c**4 - 5*c**2 + h*c**3 - 4/3.
-(c - 4)*(c - 1)**3/3
Let g(p) be the second derivative of 5*p**4/12 + 35*p**3/2 - 115*p**2 - 23*p - 4. Factor g(n).
5*(n - 2)*(n + 23)
Let w(r) be the first derivative of -1/5*r**5 + 1 + 0*r + 1/2*r**4 - 1/3*r**3 + 0*r**2. Solve w(u) = 0 for u.
0, 1
Let j = 650 - 647. Factor 0*z + 0 + 0*z**2 - 1/5*z**4 + 2/5*z**j.
-z**3*(z - 2)/5
Suppose -8*k + 12*k - 12 = 0. Determine f, given that -136*f**2 + 125*f**k - 21 + 60*f + 13 - 33*f**3 - 32*f**5 + 24*f**4 = 0.
-2, 1/4, 1/2, 1
Let g be (-67)/((-2613)/234) - (0 - 27/(-6)). Suppose -g*v - 3/4*v**2 + 0 = 0. Calculate v.
-2, 0
Suppose 2*u - 81 = -29. Suppose 2*w - m = 6 - 3, 4*w + 2*m - u = 0. Let 81*d**3 - 4*d**2 - 79*d**3 + w*d - 2*d = 0. What is d?
0, 1
Let f(y) be the third derivative of 0 - 1/90*y**5 + 1/18*y**3 + 0*y**4 + 0*y**6 + 3*y**2 + 0*y + 1/630*y**7. Suppose f(j) = 0. What is j?
-1, 1
Let p be 1/(-1 + (-3)/(-2)). Let z be (-1064)/(-352) + (-15)/55. What is f in 1/2 - 4*f**4 + 7/2*f**p - z*f + f**3 + 7/4*f**5 = 0?
-1, 2/7, 1
Let y be ((-144)/(-30))/12 - (-28)/30. Determine i, given that 0 - 2/3*i**3 + y*i - 2/3*i**2 = 0.
-2, 0, 1
Let h(w) = -w**2 - w + 1. Let t be 80/45 - 4/(-18). Let m(x) = 3*x**t - x**2 - 6*x**2 + 2 - 5*x. Let i(d) = -6*h(d) + 2*m(d). Let i(y) = 0. What is y?
-1
Let x(s) be the second derivative of -s**6/210 + 3*s**5/35 - 3*s**4/28 - 11*s**3/21 - 135*s. Factor x(a).
-a*(a - 11)*(a - 2)*(a + 1)/7
Let h(g) be the first derivative of 2*g**3/3 - 3*g**2 - 36*g + 299. Factor h(t).
2*(t - 6)*(t + 3)
Find i such that -1/2*i**3 + 0*i**2 + 0*i - 3/8*i**4 + 0 + 1/8*i**5 = 0.
-1, 0, 4
Let b(x) be the first derivative of x**5/10 + 7*x**4/30 - 8*x**3/15 - 4*x**2/5 - 10*x + 16. Let j(o) be the first derivative of b(o). Find g such that j(g) = 0.
-2, -2/5, 1
Suppose -5*b = 72 - 82. Factor 4*m - 8 - 1/2*m**b.
-(m - 4)**2/2
Let l(q) = -q**3 - 7*q**2 - 7*q - 3. Suppose u + 5 = 0, 3*s - 7 = -2*u + 7*u. Let d be l(s). Factor -7*b + 4*b - b**2 + d*b.
-b**2
Determine r so that 3/2*r**4 + 28224*r**2 - 336*r**3 + 14751744 - 1053696*r = 0.
56
Let k(h) be the first derivative of -h**4/5 - 4*h**3/3 - 6*h**2/5 + 36*h/5 + 56. Factor k(p).
-4*(p - 1)*(p + 3)**2/5
Let j be (1 + 2)*38/6. Let m = -3 + 5. Factor j*x - 3*x**m + 7*x**2 - 3*x.
4*x*(x + 4)
Let o(l) be the first derivative of l**6/36 + 7*l**5/5 + 147*l**4/8 + 119. Factor o(m).
m**3*(m + 21)**2/6
Let a = 169 - 177. Let m be (-2)/a + 3*(-1)/12. Factor m + 0*t - 5/3*t**4 + 8/3*t**3 + 4/3*t**2.
-t**2*(t - 2)*(5*t + 2)/3
Let v(a) = -6*a**2 - 24*a - 27. Let d = 19 - 10. Let c(b) = -3*b**2 - 12*b - 13. Let j(m) = d*c(m) - 4*v(m). Determine l, given that j(l) = 0.
-3, -1
Let c be (-1421)/(-435) + (208/30 - 7). Factor -34/5*a**2 - 36/5*a - 6/5*a**3 + c.
-2*(a + 2)*(a + 4)*(3*a - 1)/5
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