 3*b**2. Let v(g) = 86*g**3 - 258*g**5 - 80*g**4 + 40*g**2 + 193*g**5 - 21*g**3. Let w(o) = -40*s(o) - 3*v(o). Factor w(c).
-5*c**3*(c - 1)*(c + 1)
Let r(a) be the first derivative of 4/3*a**3 + 0*a + 22*a**2 - 89. Find x such that r(x) = 0.
-11, 0
Factor -121*h - 40*h + 13*h**2 - 12*h**2 - 237 - 75*h.
(h - 237)*(h + 1)
Let g = -11823/5 + 2365. Let b(v) be the second derivative of -g*v**5 - 4/3*v**3 - v - v**2 - 1/15*v**6 - v**4 + 0. Factor b(s).
-2*(s + 1)**4
Let y(q) be the third derivative of q**6/1080 + 19*q**5/540 - 17*q**4/18 + 6*q**3 - 1309*q**2. Solve y(u) = 0.
-27, 2, 6
Let h(i) = -865 + 324*i + 120*i**2 + 4*i**4 + 21*i**3 + 512 + 674. Let m(u) = u**4 + u**3 + u**2 - 1. Let b(k) = -2*h(k) + 6*m(k). Find a such that b(a) = 0.
-6, -3
Let k(a) be the first derivative of -a**5/10 - 2*a**4 + 79*a + 189. Let n(g) be the first derivative of k(g). Suppose n(s) = 0. What is s?
-12, 0
Suppose -8*q + 22*q - 38 = 4. Let k(w) be the third derivative of 0*w - 7/300*w**6 + 13/75*w**5 - 13/60*w**4 - 2/5*w**q + 0 - 11*w**2. Factor k(i).
-2*(i - 3)*(i - 1)*(7*i + 2)/5
Suppose 0 = 774*f - 808*f. Let r(m) be the second derivative of -1/30*m**4 + f*m**2 + 0 - 1/15*m**3 + 2*m. Suppose r(d) = 0. What is d?
-1, 0
Let d(m) = 9*m**2 + 387*m - 12. Let s(y) = 7*y**2 + 389*y - 8. Let l(h) = -2*d(h) + 3*s(h). Factor l(u).
3*u*(u + 131)
Suppose -4*p + 4 = -72. Suppose 18*s - p*s + 2 = 0. Factor -2*u + 0*u**3 - 5*u**2 + u + 2*u + 2*u**3 + s.
(u - 2)*(u - 1)*(2*u + 1)
Determine o so that -44*o**3 + 4*o**4 - 1640 - 1170*o**2 - 18*o**4 + 5*o**4 - 2420*o - 131*o**3 + 14*o**4 = 0.
-2, 41
Let t(c) be the first derivative of -8*c + 0*c**2 - 1/4*c**4 + 15 + 1/2*c**3. Let g(j) be the first derivative of t(j). Factor g(d).
-3*d*(d - 1)
Suppose 2*d = 6, 4*z - 8*z = 4*d - 24. Suppose -4*a + 10 + 10 = 0. Determine l so that -7*l**4 + 1 - 16*l + 14*l**3 + 15 + 2*l**z - 8*l**2 + l**a = 0.
-1, 2
Let a be ((-2)/3)/((-1)/3). Let l(b) = -b**3 + b**2 + b + 290. Let o be l(7). Find c such that 19*c**3 - 5*c**3 - 3*c**2 + 5*c**2 - a*c - 2*c**4 - 12*c**o = 0.
-1, 0, 1
Let y(z) = -z**2 - 170*z - 6322. Let f be y(-115). Factor 3/2*b**f + 0 + 0*b - 1/6*b**2 + 5/3*b**4.
b**2*(b + 1)*(10*b - 1)/6
Let h be (-772)/(-140) - 9/5. Factor h*d + 24/7 + 2/7*d**2.
2*(d + 1)*(d + 12)/7
Let v(f) be the second derivative of -3*f**4/14 - 65*f**3/21 - 2*f**2 + 6142*f. Suppose v(s) = 0. Calculate s.
-7, -2/9
Let q(i) = i**3 + 8*i**2 - 21*i - 11. Let d be q(-10). Let b be d + (-7 - -8)*5/1. Factor 2*w**3 - 8*w - 2 + 7*w**3 - w**3 - 4*w**2 + 2*w**4 + b*w**4.
2*(w - 1)*(w + 1)**2*(3*w + 1)
Let w(l) = -l**2 - 6 + 4 - 25528*l**3 + 3 + 25527*l**3 - l. Let m(g) = -g**4 + 6*g**3 + 19*g**2 + 4*g - 4. Let d(h) = -m(h) - 4*w(h). Solve d(n) = 0 for n.
-3, 0, 5
Let m = 1131 + -1119. Suppose 0 = -m*s + 22 + 14. Factor 0*y**2 + 4/7*y**s - 4/7*y + 0.
4*y*(y - 1)*(y + 1)/7
Let -29807719*s**2 - 929*s - 2447389 - 952947 + 1665*s + 29807718*s**2 + 2952*s = 0. Calculate s.
1844
Let c be 208/80 + 36/90. Let o(m) = -m + 9. Let t be o(9). Factor t - 2/11*w**4 - 6/11*w**c + 0*w - 4/11*w**2.
-2*w**2*(w + 1)*(w + 2)/11
Suppose -3*p + 3*h + 21 = -4*p, -2*p - 2 = -2*h. Let z = 9 + p. Factor -47*v**2 + 3 + 46*v**2 - v**z - v + 2*v - 2.
-(v - 1)*(v + 1)**2
Let m be (0 - 1021)/(1 + -8 + 6). Let r = m + -1019. Factor 20/3*h**r - 28/3*h**3 + 0 + 8/3*h.
-4*h*(h - 1)*(7*h + 2)/3
Determine h so that -50/3*h**2 - 52/3*h + 4*h**3 + 10/3 = 0.
-1, 1/6, 5
Let z(a) be the second derivative of -529/7*a**2 + 3*a + 46/21*a**3 - 1/42*a**4 + 4. Factor z(t).
-2*(t - 23)**2/7
Factor 22*f**3 + 15*f**2 - 50*f + 12*f**3 - 13*f**3 - 16*f**3.
5*f*(f - 2)*(f + 5)
Let c(z) = -z**2 - 8*z + 9. Let w be c(-10). Let f(i) = i**3 + 12*i**2 + 3*i - 18. Let k be f(w). Factor -4*g + 66*g**3 - 14*g**2 + 1 + 5 - k*g**3.
-2*(g + 1)*(g + 3)*(2*g - 1)
Solve 3/2*w**3 - 3/2*w - 3/2*w**2 + 3/2 = 0 for w.
-1, 1
Let s = -701341/8 - -87668. Factor -3/4 + 3/4*v**2 - s*v**3 + 3/8*v.
-3*(v - 2)*(v - 1)*(v + 1)/8
Determine o, given that -1/2*o**4 - 9/2*o + 37/2*o**2 + 9/2*o**3 - 18 = 0.
-3, -1, 1, 12
Determine a so that -2/11*a**3 - 70560/11 + 2*a**2 + 3472/11*a = 0.
-45, 28
Let b(o) be the first derivative of -o**6/2340 - 11*o**5/780 + o**4/13 + 155*o**3/3 + 60. Let i(u) be the third derivative of b(u). Factor i(s).
-2*(s - 1)*(s + 12)/13
Let j be (-8)/(-6)*((12 - 13) + 7). What is d in 3*d**3 + j*d**3 + 16*d + 11*d**3 - 32*d**3 + 14*d**3 + 20*d**2 = 0?
-4, -1, 0
Let f(j) be the first derivative of 2*j**5/5 + 16*j**4 - 70*j**3/3 - 66*j**2 + 4546. Suppose f(l) = 0. What is l?
-33, -1, 0, 2
Let w = -453847/2 - -226943. Let -w*h**2 + 39/2 + 3/2*h - 3/2*h**3 = 0. Calculate h.
-13, -1, 1
Factor -27*c**2 - 1973*c**2 + 201822*c - 760*c**2 - 681*c + 182484*c - 756250 + 5*c**3.
5*(c - 275)**2*(c - 2)
Let k = 185989 - 371957/2. Solve 0 + 3/2*y**2 - k*y = 0.
0, 7
Solve -3*l**2 - 9*l**2 + 228*l - 9*l**2 + 75*l**5 - 357*l**3 - 1174 + 1246 + 3*l**2 = 0 for l.
-2, -3/5, -2/5, 1, 2
Let v(a) be the first derivative of -22*a**5 + 42 - 165/4*a**4 - 100/3*a**3 + 0*a - 10*a**2 - 25/6*a**6. Suppose v(m) = 0. Calculate m.
-2, -1, -2/5, 0
Let p(u) be the first derivative of u**4/14 - 26*u**3/7 + 128*u**2/7 + 120*u + 7535. Factor p(q).
2*(q - 35)*(q - 6)*(q + 2)/7
Let v(d) = -5*d**3 + 11*d**2 + 10*d. Let q be -4 - (0 + -2) - -8. Suppose q*h - 3*h - 12 = 0. Let c(i) = i**3 - i**2 + i. Let m(p) = h*c(p) - v(p). Factor m(x).
3*x*(x - 2)*(3*x + 1)
Let g(h) be the first derivative of h**5/20 + 17*h**4/12 + 44*h**3/3 + 72*h**2 + 34*h + 33. Let y(j) be the first derivative of g(j). Factor y(z).
(z + 4)**2*(z + 9)
Let y(c) be the third derivative of c**6/840 - 11*c**5/420 - 3*c**4/28 + 12*c**3/7 + 78*c**2 - c. Find x such that y(x) = 0.
-3, 2, 12
Find n such that -2743/3*n**3 + 1/3*n**4 + 835395*n**2 - 510707250 - 253679175*n = 0.
-2, 915
Let o(r) be the second derivative of -25/19*r**3 - 7/114*r**4 - 1 + 22/19*r**2 + 12*r. Let o(a) = 0. What is a?
-11, 2/7
Let m(b) be the first derivative of 5*b**3/3 + 655*b**2/2 - 1330*b - 10027. Find u such that m(u) = 0.
-133, 2
Suppose 0 = -2*l + 5*s + 547 - 150, -l - s = -195. Let o be (l - 4)*6/126. Find h such that -52/7*h**3 + 12/7*h**2 + o*h + 16/7*h**4 - 16/7 = 0.
-1, 1/4, 2
Let c(o) be the second derivative of -o**4/6 + 21*o**3 - 290*o**2 - 3472*o. Factor c(b).
-2*(b - 58)*(b - 5)
Let s(t) be the second derivative of -t**4/54 - 290*t**3/27 + 97*t**2/3 - 74*t. What is u in s(u) = 0?
-291, 1
Let i(p) = 28*p**3 - 2*p**2 + p + 1. Let m be i(-1). Let w be 6/m + (-2 - 74/(-20)). Suppose -9 + 3/2*x + w*x**2 = 0. Calculate x.
-3, 2
Let c(a) be the second derivative of -a**7/105 + 4*a**6/75 - a**5/50 - a**4/3 + 4*a**3/15 + 8*a**2/5 - 639*a. Suppose c(j) = 0. What is j?
-1, 2
Let p = -4895945/6 - -815991. Factor -p*o**2 + 17/6*o - 8/3.
-(o - 16)*(o - 1)/6
Let t be ((-12)/(-30) - 46/90) + (-420)/(-1890). Factor 1444/9 + 76/9*n + t*n**2.
(n + 38)**2/9
Suppose 5*v - 8 = -13. Let p be v/1*(5 - (-3 + 16)). Factor 5 - p + 6 - 4*j**2 + 1.
-4*(j - 1)*(j + 1)
Let r(m) = 7*m**3 + 6*m**2 - 3*m + 19. Let x be r(-5). Let u = -689 - x. Determine w, given that 3*w - 15/2*w**u - 3/4*w**5 - 3/4*w**3 + 3*w**4 + 6 = 0.
-1, 2
Suppose -5*b = 2*o - 50, 3*b + 79 = 5*o + 4*b. Suppose -4*l = 3 - o. Factor -6*c**4 + 15/2*c**3 + 0 + 3/2*c**5 + 0*c - l*c**2.
3*c**2*(c - 2)*(c - 1)**2/2
Let l(m) be the first derivative of -2*m**3/3 + 127*m**2 + 256*m - 282. What is c in l(c) = 0?
-1, 128
Let c = -6300942/7 - -900174. Suppose -c*b**3 + 0 + 7*b**5 - 124/7*b**2 - 17*b**4 - 16/7*b = 0. Calculate b.
-1, -2/7, 0, 4
Suppose -859*d**2 + 68*d**3 - 18*d**3 - 202 - 262 + 289*d**2 - 1008*d + 48 = 0. Calculate d.
-4/5, 13
Suppose 3*h - 92 = -h + 2*b, -b = 5*h - 108. Suppose h*w = 14*w + 56. Determine u, given that -7*u**3 + w*u**4 + 4*u**5 - 5*u**2 + u**5 + 2*u**3 - 2*u**4 = 0.
-1, 0, 1
Let u(y) = -5*y**5 - 26*y**4 - 45*y**3 - 20*y**2 - 2*y - 2. Let i(h) = -2*h**4 + h + 1. Let q(b) = 2*i(b) + u(b). Factor q(o).
-5*o**2*(o + 1)**2*(o + 4)
Let l be (5 + -6)/(48/(-216) + 46/(-9)). Let j(k) be the third derivative of 7*k**2 + l*k**4 + 0*k + 1/40*k**5 + 0 - 5/2*k**3. Factor j(c).
3*(c - 2)*(c + 5)/2
Let h = -26 + 31. Suppose v = 3*y + 4, -2*v = 3*y - h*v - 6. Let n(p) = p**2 + 8*p + 3. Let o(u) = -9*u - 3. Let f(r) = y*n(r) 