*u**3 + 279*u**2.
-3*(u - 1)**2*(89*u + 6)
Let g(b) = -b**3 - 2*b**2 - 3*b. Let u(a) = a**3 - 542*a**2 - 2145*a - 2144. Let v(q) = -5*g(q) - u(q). Suppose v(i) = 0. Calculate i.
-134, -2
Let c be 12/(-24)*12/(-2). Factor -103*q - c*q**2 + 91*q + 6*q**2 + 12.
3*(q - 2)**2
Let b be (-8)/12 + (3102/18)/11. Suppose -3*x + 4 = x. Solve 6*k**3 - 4*k**3 + x - 6 - b*k**2 - 7*k**3 - 15*k = 0.
-1
Let x(u) = -u**3 - 15*u**2 - 8*u - 38. Let j be x(-15). Let m = j - 72. Factor -3*a - 75*a**2 + 76*a**2 + m*a + 2*a.
a*(a + 9)
Let b(t) = -16*t - 2*t**2 - 20*t - 39 + 45*t + 41*t + 271. Let l be b(29). Factor 5/2*q**5 - 10*q**4 + l*q - 15/2*q**3 + 45*q**2 + 0.
5*q**2*(q - 3)**2*(q + 2)/2
Let t(a) = 2 + 2755*a**2 - 27*a - 5 - 2752*a**2. Let o(u) = u**2 - 7*u. Let l(c) = 9*o(c) - 2*t(c). Let l(k) = 0. What is k?
1, 2
Suppose -79*q**3 - 12*q**4 - 219204*q**2 + 90*q + 219239*q**2 + 5*q**5 - 16*q**3 - 23*q**4 = 0. What is q?
-2, -1, 0, 1, 9
Let y be 0/(-7)*17/(-34). Let k(a) = a**2 - 5*a - 4. Let l be k(6). Factor y + 2*n**l + 4/5*n.
2*n*(5*n + 2)/5
Let n(q) be the first derivative of q**5/90 + q**4/27 - 40*q + 36. Let b(s) be the first derivative of n(s). Factor b(f).
2*f**2*(f + 2)/9
Let p(x) = -2*x**3 + 129*x**2 - 57*x + 127. Let b be p(63). Let s = 17249/2 - b. Suppose 3/2*n**2 - 33*n + s = 0. What is n?
11
Suppose -72/13*w - 28/13*w**3 + 0 - 2/13*w**4 - 98/13*w**2 = 0. Calculate w.
-9, -4, -1, 0
Let m = 1212 - 1207. Suppose -6 = -w + m*b - 16, 4*w + 4*b = 32. Solve -12/5*a**2 + 9/5*a + 9/5*a**w + 6/5*a**4 + 6/5 - 18/5*a**3 = 0 for a.
-1, -2/3, 1
Let n = 144 - 139. Suppose 0 = -c + n - 2. Suppose 2/3*x - 2/3*x**c + 0 - 2/3*x**4 + 2/3*x**2 = 0. What is x?
-1, 0, 1
Let m(b) be the first derivative of 13 + 0*b**3 - 1/6*b**2 + 0*b + 1/12*b**4. Determine c, given that m(c) = 0.
-1, 0, 1
Let q(v) be the third derivative of 11*v**5/60 + 77*v**4/12 + v**3/2 + 4*v**2 - 2*v. Let o be q(-14). Suppose 0 - 12/7*j + 3/7*j**o + 9/7*j**2 = 0. Calculate j.
-4, 0, 1
Let j be (52 - 51)*(36/66 + (-190)/(-55)). Suppose -j*m**4 + 0*m + 16/7*m**2 - 32/7*m**3 + 0 + 20/7*m**5 = 0. Calculate m.
-1, 0, 2/5, 2
Suppose -3*f + p = 2*p - 3, 6*f - p = 15. Let f + 2*x**2 + 2 - 17 - 11 - 4*x - 6 = 0. What is x?
-3, 5
Let x be (-119)/(-51)*8/56. Factor -2/3*d - 5 + x*d**2.
(d - 5)*(d + 3)/3
Let x(y) = -y**3 - 10*y**2 - 29*y - 8. Let o(g) = -3. Let h(v) = 4*o(v) + x(v). Factor h(s).
-(s + 1)*(s + 4)*(s + 5)
Let g = -2276 - -2276. Let d(y) be the first derivative of 0*y**3 + 5/4*y**4 - y**5 + 0*y + g*y**2 - 8. Find t, given that d(t) = 0.
0, 1
Factor -726 - 308*u - 47/2*u**2 - 1/2*u**3.
-(u + 3)*(u + 22)**2/2
Let d(c) be the second derivative of 0*c**2 + 1/45*c**6 - 2/3*c**3 + 1/10*c**5 - c + 1/6*c**4 + 0. Let i(w) be the second derivative of d(w). Factor i(g).
4*(g + 1)*(2*g + 1)
Let o(i) be the third derivative of i**7/70 - i**6/5 - 43*i**5/20 - 29*i**4/4 - 12*i**3 + 928*i**2. Let o(m) = 0. What is m?
-2, -1, 12
Let p(u) be the second derivative of -1 - 65/48*u**4 - 31*u + 15*u**2 + 55/24*u**3. Factor p(y).
-5*(y + 1)*(13*y - 24)/4
Suppose 3*x - 3*d = 554 - 539, 0 = -x - 3*d - 3. Determine r, given that 0*r + 0 - 5*r**2 + 1/4*r**x = 0.
0, 20
Let m(o) be the third derivative of -o**7/13860 + o**6/660 + 7*o**5/660 + 49*o**4/12 - 104*o**2. Let x(q) be the second derivative of m(q). Factor x(t).
-2*(t - 7)*(t + 1)/11
Factor 3311*m + 166710 + 929*m + 25*m**2 + 13066.
(5*m + 424)**2
Let w(a) be the second derivative of 15/8*a**4 + 270*a + 3/40*a**5 - 1/4*a**3 - 45/4*a**2 + 0. Factor w(p).
3*(p - 1)*(p + 1)*(p + 15)/2
Let k = -104 + 106. Suppose -h + 4 = g + h, 0 = 2*h - 2. Factor -k*o**3 + 1 - 2*o**g + 2*o + 0*o + 1.
-2*(o - 1)*(o + 1)**2
Let o = 2357/5 - 471. Suppose -4*g - 5*t + 8 = -0*t, -g + 2 = t. Factor 2/5*d + 0 + o*d**g.
2*d*(d + 1)/5
Let u(t) be the third derivative of -8*t**7/35 - 71*t**6/5 - 5449*t**5/20 - 3621*t**4/4 - 2601*t**3/2 - t**2 + 490*t. Factor u(s).
-3*(s + 17)**2*(4*s + 3)**2
Let z = -284 - -324. Factor 3*m - 4*m**2 - 8*m + 0*m + z - 31*m.
-4*(m - 1)*(m + 10)
Factor 348*q**4 - 8064*q**3 + 21168*q**2 - 4*q**5 + 50727 - 50727.
-4*q**2*(q - 42)**2*(q - 3)
Let b be (11/5 + -2)/((-4)/(-460)). Factor 12*s**2 - s**4 - 284*s**3 + 35*s - 185*s + b*s**2 + 288*s**3.
-s*(s - 5)**2*(s + 6)
Let f(z) be the second derivative of 52*z**7/21 - 6*z**6 + 12*z**5/5 + 7*z**4/3 + 2*z + 654. What is k in f(k) = 0?
-7/26, 0, 1
Let z(c) be the third derivative of -19*c + 0*c**7 + c**2 + 0 - 1/80*c**5 + 1/896*c**8 - 1/80*c**6 + 1/8*c**3 + 3/64*c**4. Factor z(d).
3*(d - 2)*(d - 1)*(d + 1)**3/8
Solve -2*o**4 - 176*o**3 - 1595*o - 1725*o + 5416*o - 1740*o + 182*o**2 = 0.
-89, -1, 0, 2
Factor 153/2 + 3/4*y**3 - 163/8*y**2 + 1/8*y**4 + 111/2*y.
(y - 6)**2*(y + 1)*(y + 17)/8
Let b(s) be the first derivative of -7*s**6/39 - 48*s**5/65 - 8*s**4/13 + 12*s**3/13 + 23*s**2/13 + 12*s/13 - 7976. Find c, given that b(c) = 0.
-2, -1, -3/7, 1
Let g be (-16)/(-704)*0*-1. Factor 3/2*v + 3/2*v**4 + g - 3/2*v**3 - 3/2*v**2.
3*v*(v - 1)**2*(v + 1)/2
Let t(p) be the second derivative of p**5/90 - 16*p**4/27 + 209*p**3/27 + 242*p**2/9 + 12702*p. Factor t(i).
2*(i - 22)*(i - 11)*(i + 1)/9
Factor 118/7*p + 72 - 2/7*p**2.
-2*(p - 63)*(p + 4)/7
Let p(y) be the second derivative of 0 - 2/15*y**3 + 1/105*y**7 + 7/150*y**6 - 2/15*y**4 + 3/100*y**5 - 24*y + 0*y**2. Solve p(x) = 0.
-2, -1/2, 0, 1
Let b(n) = -3*n**3 + 7*n**2 - 9*n. Let u(v) = 2*v**3 - 4*v**2 + 5*v. Let m be (-50)/20 + (-6)/12. Let o(l) = m*b(l) - 5*u(l). Determine z, given that o(z) = 0.
-2, 0, 1
Suppose -3*p = 6*p - 4*p, 3*v + 2*p - 57 = 0. Let m(s) be the second derivative of 0*s**2 + 1/50*s**5 + v*s + 0*s**3 + 0 + 1/15*s**4. Find c such that m(c) = 0.
-2, 0
Let -42*o**3 - 21*o**2 - 180 - 228*o - 151*o**4 + 154*o**4 + 72*o**3 = 0. What is o?
-10, -2, -1, 3
Solve -2/5*d**2 + 204/5*d - 5202/5 = 0 for d.
51
Let x(a) be the first derivative of -a**6/15 + 352*a**5/5 - 96359*a**4/5 - 51744*a**3 - 194481*a**2/5 - 4521. Factor x(t).
-2*t*(t - 441)**2*(t + 1)**2/5
Let z(x) be the third derivative of 10/33*x**3 - 1/660*x**5 + 0*x - 1/33*x**4 + 0 + 91*x**2. Suppose z(c) = 0. What is c?
-10, 2
Let f = -2692/165 - -12253/660. Factor -2*o - 1/4*o**2 + f.
-(o - 1)*(o + 9)/4
Let n = -815049/103 - -7913. Let v = n - -236/309. What is b in -10/3*b**3 - v*b**4 + 0 - 14/3*b**2 - 2*b = 0?
-3, -1, 0
Let p(z) be the second derivative of -z**5/30 + 16*z**4/9 + 308*z**3/9 + 160*z**2 - 6*z + 9. Factor p(v).
-2*(v - 40)*(v + 2)*(v + 6)/3
Let m = 90392 - 813524/9. Let v = 1046/9 + -116. Determine a so that 0*a**2 - m - v*a**3 + 2/3*a = 0.
-2, 1
Let m(t) be the second derivative of t**4/16 + 417*t**3/4 - 2505*t**2/8 + 6783*t. Factor m(s).
3*(s - 1)*(s + 835)/4
Let c be (-3 - (-104)/10) + 56*15/(-120). Factor c*b**3 + 2176/5*b + 26*b**2 + 2048/5.
2*(b + 1)*(b + 32)**2/5
Let u(x) be the third derivative of 0*x - 20/3*x**3 + 25/6*x**4 + 7/24*x**6 + 0 - 65*x**2 - 3/2*x**5 - 1/42*x**7. Solve u(c) = 0.
1, 2
Let v(z) be the second derivative of z**7/140 - 3*z**6/40 - z**5/8 + 46*z**3/3 + 60*z + 1. Let w(a) be the second derivative of v(a). Factor w(h).
3*h*(h - 5)*(2*h + 1)
Determine t, given that -114/5 + 2/5*t**2 - 112/5*t = 0.
-1, 57
Let g(b) = 6*b**2 + 3*b. Let f be g(3). Suppose 16*i - 17*i = 4*n - 5, 5*i + n = 82. Factor 75*z + i*z**2 + 5*z**3 + f - 188 + 28*z**2.
5*(z - 1)*(z + 5)**2
Let g(b) be the second derivative of b**4/6 + 234*b**3 + 123201*b**2 - 707*b. Factor g(k).
2*(k + 351)**2
Let t(y) = -y**4 + 3*y**3 + y**2 + 2*y - 1. Let g(l) = 4*l**5 - 14*l**4 - 26*l**3 + 78*l**2 + 12*l - 62. Let s(h) = g(h) + 2*t(h). What is a in s(a) = 0?
-2, -1, 1, 2, 4
Factor -115*y**2 - 1872 + 5*y**3 + 4384 - 1702 + 715*y - 1415.
5*(y - 11)**2*(y - 1)
Solve -1147*p - 40*p**2 + 1229*p + 66 + 54*p**2 - 2*p**3 = 0 for p.
-3, -1, 11
Suppose -5*w - 322 = y, -y - 322 = -2*w - w. Let d = y - -1182. Factor -28*x**4 - 850*x**3 - 7*x**4 + d*x**3 - 20*x**5.
-5*x**3*(x + 2)*(4*x - 1)
Let a(r) be the second derivative of -r**6/120 - r**5/10 - 7*r**4/16 - 11*r**3/12 - r**2 + 2*r - 883. Find i such that a(i) = 0.
-4, -2, -1
Let n(i) be the first derivative of -15*i**4/4 - 164*i**3 + 1719*i**2/2 - 324*i + 2805. Factor n(z).
-3*(z - 3)*(z + 36)*(5*z - 1)
Let l(b) = b + 4. Let s(h) = 27*h + 152. Let m(r) = -6*l(r) + s(r). Le