tive of -49/3*o**2 - 3*o - 3 - 1/45*o**6 - 11/9*o**4 + 2/5*o**5 - 28/3*o**3. Factor c(b).
-2*(b - 7)**2*(b + 1)**2/3
Let m(d) be the first derivative of -1/2*d**4 + 0*d**3 + 4*d**2 - 11*d - 1/10*d**5 - 4. Let l(f) be the first derivative of m(f). Factor l(k).
-2*(k - 1)*(k + 2)**2
Let m(k) be the third derivative of -k**8/3360 - k**7/336 - 7*k**6/720 - k**5/80 + 20*k**3/3 + 37*k**2. Let v(t) be the first derivative of m(t). Factor v(y).
-y*(y + 1)**2*(y + 3)/2
Let y = -104 + 788. Factor -18687*h**2 - 791 - 75*h**4 - 1225 - y + 13860*h + 2310*h**3.
-3*(h - 15)**2*(5*h - 2)**2
Let w = -31161 - -31161. Let q(g) be the first derivative of 30 + 1/3*g**5 + 10/3*g**2 + 25/12*g**4 + w*g + 40/9*g**3. What is u in q(u) = 0?
-2, -1, 0
Let q = -1216 - -2353/2. Let m = q + 241/6. Let -m - h + 2/3*h**2 + h**3 = 0. What is h?
-1, -2/3, 1
Suppose 0 = 2*y + 2*y - 68. Suppose -4*o + y = -11. Let -12*u**2 - 8*u**3 + 4*u - 6 + o*u**2 + 15*u**2 = 0. What is u?
-3/4, 1
Determine t so that -1/3*t**2 + 5588/3*t - 7806436/3 = 0.
2794
Let a(o) = 24*o**2 + 168*o. Suppose 16*f = -11 + 75. Let r(y) = 3*y**2 + 21*y. Let x(c) = f*a(c) - 33*r(c). Find k such that x(k) = 0.
-7, 0
Let z(t) be the third derivative of -t**7/300 - 67*t**6/1200 - 109*t**5/300 - 17*t**4/15 - 8*t**3/5 + 334*t**2 - 2*t. Determine a so that z(a) = 0.
-4, -3, -2, -4/7
Factor -95*g**2 + 51*g**2 + 124*g + 10*g**3 - 11*g**3 + 2*g**3 - 1600 + 436*g.
(g - 20)**2*(g - 4)
Suppose 5*d - 8*d + 396 = 3*q, -d - 684 = -5*q. Let c = q + -134. What is n in -12/5 - 6/5*n**c + 22/5*n = 0?
2/3, 3
Let w(f) = -2*f**4 - 5*f**3 + 24*f**2 - 3*f. Let p(n) = -n**4 + 10*n**2 - n. Let z(b) = 3*p(b) - w(b). Find x, given that z(x) = 0.
-1, 0, 6
Let h(q) be the first derivative of 27*q**4/20 - 23*q**3/5 - 12*q**2 + 252*q/5 - 799. Suppose h(s) = 0. What is s?
-2, 14/9, 3
Suppose 4*i - 8*i - 13*i = 0. Let w(b) be the second derivative of 5/12*b**4 + 0 + 38*b + 0*b**2 - 3/8*b**5 + 1/12*b**6 + i*b**3. Find j such that w(j) = 0.
0, 1, 2
Let g(w) be the first derivative of w**7/336 - w**6/36 + w**5/16 + 12*w**3 - 100. Let v(a) be the third derivative of g(a). Factor v(t).
5*t*(t - 3)*(t - 1)/2
Let b(c) be the third derivative of 2/5*c**6 + 19*c - 35/3*c**5 - 13*c**4 - 5*c**2 + 0 + 30*c**3. Factor b(m).
4*(m - 15)*(3*m - 1)*(4*m + 3)
Let h be (-136)/(-442) + (-262)/598. Let v = h + 85/299. Factor -v*z**5 - 2/13*z**4 + 0 + 6/13*z**3 + 4/13*z + 10/13*z**2.
-2*z*(z - 2)*(z + 1)**3/13
Let y(r) = -3*r**4 + r**2 + 2*r. Let m(o) be the third derivative of -o**7/30 + o**5/20 + 5*o**4/24 - 26*o**2. Let c(d) = 4*m(d) - 9*y(d). Solve c(z) = 0 for z.
-1, 0, 2
Suppose -154*r - 25 = -149*r. Let k be r/1 - 1080/(-192). Factor 0 - k*o**2 - 1/4*o - 1/8*o**4 - 1/2*o**3.
-o*(o + 1)**2*(o + 2)/8
Let a be -9 + (10314/78)/9. Let z = a + -170/39. Let -z*v**2 - 4/3*v**3 + 0 + 0*v = 0. What is v?
-1, 0
Let b be (-208)/(-2184) - (664/(-84) + 4 + 0). Factor 1/2*y**b + 1/2*y**3 + 0*y + 0*y**2 + 0.
y**3*(y + 1)/2
Let r(m) be the second derivative of m**6/195 - m**5/5 - 28*m**4/39 + 4*m + 93. Suppose r(b) = 0. What is b?
-2, 0, 28
Let v(q) be the first derivative of q**5/30 + q**4/12 - 4*q**3/3 - 3*q**2/2 + 45*q/2 + 2200. Factor v(p).
(p - 3)**2*(p + 3)*(p + 5)/6
Let x(u) be the third derivative of u**7/105 + 4*u**6/5 + 44*u**5/5 + 128*u**4/3 + 112*u**3 + u**2 + 2076*u. Find s, given that x(s) = 0.
-42, -2
Let x(z) = -13*z**3 + 504*z**2 + 1007*z + 498. Let o(i) = 60*i**3 - 2016*i**2 - 4032*i - 1992. Let q(l) = 2*o(l) + 9*x(l). Solve q(n) = 0.
-166, -1
Let p be ((-3)/(-10))/(84/70) + ((-2948)/88 - -34). Factor -1083/4 - p*h**2 + 57/2*h.
-3*(h - 19)**2/4
Suppose -215*v + 199*v = -96. Let h(j) be the second derivative of 0*j**2 + 0 + 1/16*j**4 + 0*j**3 - v*j. Factor h(z).
3*z**2/4
Let k(d) be the third derivative of d**5/180 + 11*d**4/18 + 259*d**3/18 + 2532*d**2. Factor k(x).
(x + 7)*(x + 37)/3
Let a(r) be the first derivative of 2*r**5/15 + r**4/2 - 2*r**3/9 - r**2 + 861. Suppose a(h) = 0. What is h?
-3, -1, 0, 1
Let y(f) be the first derivative of 4/45*f**5 - 2/9*f**3 - 13/2*f**2 + 0*f - 1/6*f**4 + 23. Let c(h) be the second derivative of y(h). Factor c(x).
4*(x - 1)*(4*x + 1)/3
Let i(g) = -2*g**3 + 76*g**2 - 12*g - 2. Let p(x) = -6*x**3 + 228*x**2 - 42*x - 7. Let n(l) = 7*i(l) - 2*p(l). Factor n(k).
-2*k**2*(k - 38)
Let o be (2 + 13/(-4))*(-5)/(37 - 15503/444). Find n such that -1/6*n**4 + 1/6*n + 1/6*n**2 - 1/6*n**o + 0 = 0.
-1, 0, 1
Factor 2/9*r**3 + 0*r + 10/3*r**2 + 0.
2*r**2*(r + 15)/9
Let h(d) be the first derivative of -2*d**6/3 + 316*d**5/5 - 1932*d**4 + 40768*d**3/3 + 219520*d**2 - 461. Factor h(q).
-4*q*(q - 28)**3*(q + 5)
Let b be (-7)/(-63)*1*5/10. Let j(i) be the first derivative of b*i**4 + 2/9*i**3 - 5/9*i**2 + 4/9*i - 43 - 2/45*i**5. Factor j(w).
-2*(w - 1)**3*(w + 2)/9
Let k(l) = -l**2 + 84*l + 2. Let g(a) = 252*a - 2*a**2 - a**2 + a**2 + 7. Let m(z) = 2*g(z) - 7*k(z). Factor m(x).
3*x*(x - 28)
Let y(s) be the third derivative of 0 - 2/45*s**6 - 7/45*s**5 - 1/140*s**7 - 1/3*s**4 - 4/9*s**3 - 153*s**2 + 0*s - 1/2016*s**8. Factor y(n).
-(n + 1)*(n + 2)**4/6
Let t be ((-2)/(-7) - (-8526)/(-1029)) + 8. Let m(l) be the first derivative of -1/21*l**6 + 0*l + t*l**4 + 0*l**3 + 0*l**2 - 9 - 2/35*l**5. Factor m(r).
-2*r**4*(r + 1)/7
Let d(q) be the first derivative of 2*q**5/15 + 9*q**4/2 - 56*q**3/9 + 1467. Suppose d(n) = 0. What is n?
-28, 0, 1
Let 0 - 1485/4*x + 3/4*x**4 - 963/4*x**2 - 147/4*x**3 = 0. What is x?
-3, 0, 55
Let i = 602281/120 - 5019. Let v(j) be the second derivative of 0 + 1/36*j**3 - i*j**5 - 1/72*j**4 + 2*j + 1/12*j**2. Factor v(w).
-(w - 1)*(w + 1)**2/6
Let y be 94/235 - (-202)/(-230). Let k = y + 91/46. Solve -k*v**5 + 15/2*v**4 - 27/2*v**3 - 3*v + 21/2*v**2 + 0 = 0 for v.
0, 1, 2
Let v(d) be the first derivative of 51 + 0*d + 22/3*d**3 - 10*d**2 - 1/2*d**4. Find o, given that v(o) = 0.
0, 1, 10
Let s(y) = 2442*y**2 - 4887*y + 2424. Let t(d) = -d**3 + d**2 + 2*d + 5. Let n(a) = -s(a) - 3*t(a). Suppose n(b) = 0. What is b?
1, 813
Suppose 4*p - 16 = -l, 114 = 5*l + p + 15. Suppose 0 = y - 3*u - 12, -y - y - l = 5*u. Factor -2/7*t**3 + y*t + 0*t**2 + 0.
-2*t**3/7
What is v in 0 + 591/5*v - 3/5*v**2 = 0?
0, 197
Let u be 10/(-80)*-40*(-3 + 2) + (-49)/(-3). Factor 2/3*r**3 - 10 - u*r - 2/3*r**2.
2*(r - 5)*(r + 1)*(r + 3)/3
Factor 6890*f - 15129 + f**3 + 12679*f - 4194*f - 247*f**2.
(f - 123)**2*(f - 1)
Let y be (0/(-2))/((114/(-133))/((-51)/(-119))). Factor y + 52/9*n + 4/9*n**2.
4*n*(n + 13)/9
What is i in 1907*i + 1273*i - 5933*i**2 - 4*i**3 + 9109*i**2 = 0?
-1, 0, 795
Let s(o) = -o**2 - 22*o - 94. Let w be s(-6). Let b(p) be the second derivative of 0*p**5 - 22*p + 0*p**3 + 0*p**w - 1/90*p**6 + 1/36*p**4 + 0. Factor b(y).
-y**2*(y - 1)*(y + 1)/3
Factor -1/5*s**3 + 0 + 0*s + 43/5*s**2.
-s**2*(s - 43)/5
Let n(o) be the second derivative of o**5/140 + 61*o**4/84 - 14*o**3/3 - 128*o**2/7 - o + 14. Solve n(d) = 0 for d.
-64, -1, 4
Let p = -29454 - -33548108/1139. Let z = 2268/5695 + p. Factor 1/5*j**2 + 1/5 - z*j.
(j - 1)**2/5
Solve -4/17*d**2 - 128/17 - 2/17*d**3 + 80/17*d = 0.
-8, 2, 4
Let r = 17/21517 - -21466/64551. What is s in 0 + 8/3*s - r*s**2 = 0?
0, 8
Factor 6*t**3 - 8*t**3 - 37*t**3 + 792*t**2 + 17*t**3 - 50*t**3 + 63504 + t**4 + 18144*t.
(t - 42)**2*(t + 6)**2
Let v be (-204)/(-21) + -4 - (-2)/7. Let x be 18/v - 0/1. Solve -4*i**x - i + i**3 + 0*i**3 + 4*i = 0.
-1, 0, 1
Let v(j) be the third derivative of -j**5/300 - j**4/20 + 9*j**3/10 + 762*j**2. Let v(o) = 0. Calculate o.
-9, 3
Let d(w) = 3*w**2 + 3*w - 2. Let i(r) = 22*r**2 - 990*r - 2044. Let b(l) = 6*d(l) - i(l). Solve b(k) = 0.
-2, 254
Let w(o) = 6*o - 143. Let y be w(24). Let f be 11/15 + ((-3)/9)/y. Factor 0 + f*i**3 - i**5 + 3/5*i**4 + 0*i + 0*i**2.
-i**3*(i - 1)*(5*i + 2)/5
Let i(g) be the second derivative of -3*g**5/80 - 37*g**4/48 + 13*g**3 + 27*g**2/2 + 43*g + 7. Suppose i(r) = 0. Calculate r.
-18, -1/3, 6
Let 294 + 248*h + 1/2*h**3 + 103/2*h**2 = 0. Calculate h.
-98, -3, -2
Suppose 299 = 4*a + w, 100 = a + w + 23. Let s = a + -72. Factor 5*q**3 - 3*q**3 + 3*q**s + q - 2*q**4 - 3*q**4 + 3*q**2 - 1 - 3*q**5.
-(q - 1)*(q + 1)**3*(3*q - 1)
Suppose -8/9*p**3 + 1768/9*p - 56 + 994/9*p**2 = 0. Calculate p.
-2, 1/4, 126
Let g(f) be the third derivative of 0*f**4 + 3/4