**3/3 + 4*u**2/3 + 16*u - 1. Factor i(k).
-2*(k - 4)*(4*k + 1)/3
Let x(r) = -r**2 - 7*r - 5. Let l be x(-6). Let u be (-76)/(-66) - (l - 26/22). Suppose -2/3 - u*i**2 + 2*i = 0. What is i?
1/2, 1
Let h be ((-19)/(1881/22))/(((-50)/(-15))/(-2)). Factor 4/15*m - h*m**2 + 0.
-2*m*(m - 2)/15
Let m(i) be the second derivative of 49*i**6/15 - 35*i**5/2 + 31*i**4 - 68*i**3/3 + 8*i**2 - i + 23. Factor m(y).
2*(y - 2)*(y - 1)*(7*y - 2)**2
Let b be 18/(-10)*(-1115)/12042. Suppose -1/6*t**2 - b*t**4 + 0*t + 0 + 1/3*t**3 = 0. What is t?
0, 1
Let j = -7369 - -51586/7. Factor j + 6/7*l + 3/7*l**2.
3*(l + 1)**2/7
Let m(g) be the first derivative of g**3/6 + 43*g**2 + 171*g/2 + 62. Factor m(i).
(i + 1)*(i + 171)/2
Let 3 + 1/3*p**2 - 10/3*p = 0. Calculate p.
1, 9
Let c be (-54)/(-260) - 69/(-690). Factor c*l**2 - 6/13*l + 2/13.
2*(l - 1)*(2*l - 1)/13
Factor 0 + 24*w**2 - 72/7*w + 4*w**4 - 122/7*w**3 - 2/7*w**5.
-2*w*(w - 6)**2*(w - 1)**2/7
Find o, given that -17*o - 12*o**2 - 7534*o**3 - 6*o - 22*o + 7533*o**3 - 50 = 0.
-5, -2
Let g(z) be the second derivative of -z**5/15 + 2*z**4/3 + 2*z**3/9 - 20*z**2 + 149*z. Let g(c) = 0. What is c?
-2, 3, 5
Let j = 544/11 - 49. Let p(u) be the first derivative of 5/33*u**6 + 4/11*u + 4/55*u**5 + 5 - 8/33*u**3 - 5/11*u**4 + j*u**2. Find l such that p(l) = 0.
-1, -2/5, 1
Let d(b) = 2*b**5 + 7*b**4 + 3*b**3 - 2*b**2 + 5*b. Let o(r) = -r**5 - 3*r**4 - r**3 + r**2 - 2*r. Let t(g) = 2*d(g) + 5*o(g). Factor t(q).
-q**2*(q - 1)*(q + 1)**2
Suppose 7 = j + 5*k - 0, 4*k = 2*j. Suppose -8*h + j*h = -36. Let 4*r + h - 2*r**3 - 3 - 2*r**3 - 4*r**2 + 1 = 0. What is r?
-1, 1
Solve -2/9*t**3 + 1/3*t**4 - 2/9*t**2 + 1/3*t - 1/9 - 1/9*t**5 = 0 for t.
-1, 1
Let b(m) = 4*m**2 - 12*m - 432. Let h be b(-9). Factor 0*x + h + 2/9*x**4 + 2/9*x**2 - 4/9*x**3.
2*x**2*(x - 1)**2/9
Factor -4/3*z**2 + 2/3*z**3 + 16/3 - 8/3*z.
2*(z - 2)**2*(z + 2)/3
Factor -13/5 + 14/5*u - 1/5*u**2.
-(u - 13)*(u - 1)/5
Factor -300*h**2 + 50273*h + 39727*h - 2*h**3 + 5*h**3 + 3165718 + 1200*h**2 - 165718.
3*(h + 100)**3
Let p(a) be the second derivative of 7*a**4/78 + 11*a**3/39 - 6*a**2/13 + 11*a + 2. What is u in p(u) = 0?
-2, 3/7
Let k(j) = 4*j**2 - 267*j + 4362. Let i(l) = -8*l**2 + 535*l - 8726. Let r(g) = -3*i(g) - 7*k(g). Suppose r(n) = 0. What is n?
33
Let y(j) = -j**3 + 10*j**2 + 7*j + 3. Let c be y(7). Solve -715*z**2 - 37 - 315*z**4 + 35*z**2 + 117 - c*z**3 + 1159*z**3 = 0.
-2/7, 2/3, 2
Let k(q) be the first derivative of -3*q**4/4 + 518*q**3/3 - 11266*q**2 + 14792*q - 760. What is s in k(s) = 0?
2/3, 86
Let i(l) = 12*l**4 + 169*l**3 + 9405*l**2 + 165710*l - 370408. Let n(x) = -x**4 - x + 2. Let s(p) = 2*i(p) + 22*n(p). Factor s(c).
2*(c - 2)*(c + 57)**3
Suppose 0*f + f - 5*r - 9 = 0, 0 = 3*r - 3. Let d be (-8)/f*(-14)/4. Factor -4/3*y + 0 - 2/3*y**d.
-2*y*(y + 2)/3
Factor 482/7*u - 34*u**2 - 242/7 - 2/7*u**3.
-2*(u - 1)**2*(u + 121)/7
Suppose -3/5*l**4 - 6/5*l**2 + 0 + 0*l - 9/5*l**3 = 0. What is l?
-2, -1, 0
Let f = -197 - -171. Let y be (-2)/(-14) + f/(-182). Factor 2/7*z**2 + y + 4/7*z.
2*(z + 1)**2/7
Let v be 6/(-8) + (-135)/(-20). Find q such that 3*q**2 + 26*q**4 - 16*q**4 - v*q**3 + 3*q - 13*q**4 + 3*q**3 = 0.
-1, 0, 1
Let j = -5287 - -5290. Factor 0*z + 1/3*z**4 + 0 - 7/9*z**j + 2/9*z**2.
z**2*(z - 2)*(3*z - 1)/9
Let d(x) = -12*x**2 + 12*x + 48. Let o(j) = -j**2 + j + 3. Let y(u) = -d(u) + 16*o(u). Factor y(q).
-4*q*(q - 1)
Let b(p) be the first derivative of 0*p - 4/3*p**3 - 9 + 0*p**2 - 1/2*p**4. Factor b(z).
-2*z**2*(z + 2)
Let i(b) = b**3 - b**2 - 2. Let z(x) = 26*x**3 - 494*x**2 + 3720*x - 920. Let y(q) = -10*i(q) + z(q). Factor y(k).
4*(k - 15)**2*(4*k - 1)
Let n = -4449 + 31151/7. Factor -10/7*t - 2/7*t**3 - n*t**2 - 4/7.
-2*(t + 1)**2*(t + 2)/7
Let l be -2*(-4 - (-108)/30). Let p = 9 + -43/5. Factor -p*x - l + 2/5*x**2.
2*(x - 2)*(x + 1)/5
Let p = 8856 - 17711/2. Suppose -3/2 + 3/2*s**2 - p*s**3 + 1/2*s = 0. Calculate s.
-1, 1, 3
Let s = 129 - 74. Let j(k) = 35 + 15*k**2 + 42*k**2 + 0 + 23*k**2 + s*k. Let r(h) = -9*h**2 - 6*h - 4. Let a(c) = 4*j(c) + 35*r(c). Solve a(g) = 0.
-2, 0
Let b = -55 + -370. Let r be -8 + b/(-35) + (-8)/2. Suppose 2/7*o - r*o**2 + 0 = 0. Calculate o.
0, 2
Let w(v) be the first derivative of -3*v**7/35 - 11*v**6/60 - v**5/15 + 8*v**2 - 11. Let o(r) be the second derivative of w(r). Factor o(j).
-2*j**2*(j + 1)*(9*j + 2)
Let i = 70 - 62. Suppose 4*y + c - 9 = 0, -4*y - 4*c = -4 - i. Factor 1/3*b**y - 2*b + 3.
(b - 3)**2/3
Let c be (-37 - 8)*1/(-3). Factor 9*k - 10*k**3 - c*k**2 + 10*k + k - 18*k**4 + 23*k**4 + 20.
5*(k - 2)**2*(k + 1)**2
Let c(s) be the second derivative of s**6/6 - 11*s**5/20 + 13*s**4/20 - 3*s**3/10 - 71*s. Factor c(u).
u*(u - 1)*(5*u - 3)**2/5
Let k(a) = 27*a**3 + a. Let w be k(-1). Let j = -25 - w. Suppose -j*z**4 + 6*z**2 + 34*z**5 - 31*z**5 - 3*z**3 + z**4 - 4*z**4 = 0. Calculate z.
-1, 0, 1, 2
Let s(f) be the second derivative of f**7/70 - f**6/10 + 3*f**5/10 - f**4/2 + f**3/2 - 3*f**2/10 + 3*f - 3. Factor s(r).
3*(r - 1)**5/5
Let g(d) = 2*d**3 - 9*d**2 - 7*d + 4. Let a be 0/(-2) + ((-12)/3 - 0). Let f(v) = -2*v**3 + 8*v**2 + 6*v - 4. Let s(x) = a*g(x) - 5*f(x). Factor s(q).
2*(q - 2)*(q - 1)*(q + 1)
Let f(i) = -5*i**5 + 66*i**4 - 69*i**3 + 23*i**2 + 48*i. Let d(z) = -z**5 - z**3 - z**2 - 4*z. Let x(h) = -18*d(h) - 2*f(h). Solve x(w) = 0 for w.
-2/7, 0, 1, 3
Let m be (-1)/(-2) + 25/(-110). Let l = m + 29/55. Factor 2/5*b + 0 - 2/5*b**5 + 0*b**3 + l*b**4 - 4/5*b**2.
-2*b*(b - 1)**3*(b + 1)/5
Suppose -3*h + 20 = 5*j, j - 2 - 2 = 2*h. Find o such that 0*o**j + 0*o**4 + 5*o**3 + 5*o**4 + 5*o**3 + 5*o**2 = 0.
-1, 0
Let z(f) be the second derivative of 0 - 1/255*f**6 - 3/170*f**5 - 9*f + 5/102*f**4 + 0*f**2 - 2/51*f**3 + 1/357*f**7. Let z(m) = 0. What is m?
-2, 0, 1
Let i(v) = 27*v**5 - 438*v**4 + 3375*v**3 + 24*v. Let u(j) = -11*j**5 + 175*j**4 - 1350*j**3 - 10*j. Let z(o) = 5*i(o) + 12*u(o). What is c in z(c) = 0?
0, 15
Let u(z) be the first derivative of -4*z**5/5 - 5*z**4 + 28*z**3 - 46*z**2 + 32*z - 197. Factor u(q).
-4*(q - 1)**3*(q + 8)
Let w(b) be the third derivative of -b**8/1344 + b**7/105 - 5*b**6/96 + 19*b**5/120 - 7*b**4/24 + b**3/3 + 51*b**2. Determine s so that w(s) = 0.
1, 2
Let k be (27 + -1)*(3 + 3/(-6)). Factor -8 + 123*s**3 - k*s**3 + 6*s**2 - 60*s**3.
-2*(s - 2)**2*(s + 1)
Let g(y) = 3*y - 1 - 4 + 2 + 2*y**2 + 0. Let n be g(-4). Factor -8*c**4 + 15*c**5 - 4*c**3 - n*c**5 - 5*c**2 + c**2 - 6*c**3.
-2*c**2*(c + 1)**2*(c + 2)
Let c be 6*4/(-6)*15/(-6). Factor 2*u**2 + c*u**3 - 3*u**4 + 5*u**4 + 3*u**2 + 3*u**4.
5*u**2*(u + 1)**2
Let z be 27/(-54)*(9/(-6) - (-5)/(-2)). Find y, given that 0 + 2/3*y**z + 2/3*y = 0.
-1, 0
Let d(o) = 3*o**2 + 3. Let h be d(-2). What is k in 65*k + 11 - 25*k**2 + h + 4 = 0?
-2/5, 3
Let y be (16/3 + -5)/(2/18). Suppose 2*l = -3*h + 14, 2*h + 2*l - 5 = 7. Factor -8 - 10*r**h + 4*r - 21*r + r - 2*r**y.
-2*(r + 1)*(r + 2)**2
Let i be (33/(-165))/(34/8). Let t = i - -101/340. Factor 1/2*d - t - 1/4*d**2.
-(d - 1)**2/4
Let o(c) be the first derivative of -c**4 + 40*c**3/3 + 48*c**2 + 50. Factor o(b).
-4*b*(b - 12)*(b + 2)
Suppose 9 = b + 1. Let d = 10 - b. What is p in 2 - 3*p**2 - 6*p + d + p**2 + 4*p**2 = 0?
1, 2
Let o = 91 + -50. Factor o*b**3 + 16*b**4 + 20*b**2 - 26*b**3 + 17*b**3 + 4*b.
4*b*(b + 1)*(2*b + 1)**2
Let n(m) be the first derivative of 0*m + 6 + 10/3*m**3 - 5/4*m**4 + 15/2*m**2. Factor n(h).
-5*h*(h - 3)*(h + 1)
Let o be 148/(-111) + -4*18/(-48). Factor 1/6*l**2 - 1/6*l**5 + 0 - o*l**4 + 1/6*l**3 + 0*l.
-l**2*(l - 1)*(l + 1)**2/6
Suppose -3*g + u = -0*g + 8, -4*g + 1 = u. Let l be (-6)/(-27) - g/36. What is c in -c - l*c**2 - 3/4 = 0?
-3, -1
Let p(s) = s**4 - s**3 - s**2. Let j(z) = -z**4 + 8*z**3 + 14*z**2 + 10*z + 3. Let q(f) = -3*j(f) - 6*p(f). Find r, given that q(r) = 0.
-3, -1
Let a(c) = c**3 + 8*c**2 + 4*c + 2. Let s be a(-6). Suppose -20 = 4*z, -2*w + 5*z + s = -w. Suppose 14*f - w*f + 4 - 21*f + 64*f**2 = 0. What is f?
1/4
Let p = -6 - -21. Let i = p - 13. Factor -3 - 12*u + 17*u**i + 3*u**2 - 5.
4*(u - 1)*(5*u + 2)
Let u(v) be the third derivative of v**5/12 + 5*v**4 + 120*v**3 + 54*v**2. Factor u(b).
5*(b + 12)**2
Factor c**3 - 20 + 238*c + 2*c**2 - 254*c - 3*c**2.
(c - 5)*(c + 2)**2
Let i(h) = 117*h + 2110. Let q be i(-18). Find