of -2/15*x**5 + 0 - 31*x**2 - 5/12*x**4 + 0*x - 2/3*x**3 - 1/60*x**6. Factor u(q).
-2*(q + 1)**2*(q + 2)
Suppose 13*l - 26 = 13. Determine b so that -3/8*b - 1/8*b**l - 1/2*b**2 + 0 = 0.
-3, -1, 0
Let t be 139/(-10) - (-2632)/188. Solve 0 + t*a**2 - 3/5*a = 0.
0, 6
Let v(f) be the third derivative of 0*f**5 + 0 + 0*f**4 + 1/12*f**6 - 1/6*f**7 + 0*f**3 + 5*f**2 - 5/84*f**8 + 0*f. Factor v(l).
-5*l**3*(l + 2)*(4*l - 1)
Let z(a) = -a + 4. Let u be (0 - -4)*9/12. Let q be z(u). Let -k + k**2 - k**2 + 2*k**2 + q + 4*k = 0. Calculate k.
-1, -1/2
Factor -4/5*r**3 - 2/5*r**4 + 4/5*r + 2/5*r**2 + 0.
-2*r*(r - 1)*(r + 1)*(r + 2)/5
Let i(d) = -2*d - 2. Let f be i(0). Let n = f - -5. Suppose -6*j + 18*j**2 + 8*j**4 - 12*j**n - 3*j**2 - 5*j**4 = 0. What is j?
0, 1, 2
Let h(s) be the third derivative of -s**8/280 + 2*s**7/105 - s**6/300 - s**5/25 - 129*s**2. Determine o so that h(o) = 0.
-2/3, 0, 1, 3
Let m be 9/39*(-5798)/(-669). Suppose -4/3*q**3 + 2*q**m + 0 + 4/3*q = 0. Calculate q.
-1/2, 0, 2
Let g(y) be the first derivative of -3 + 1/10*y**4 - 4/15*y**3 + 1/5*y**2 + 0*y. Let g(l) = 0. Calculate l.
0, 1
Let m(i) be the first derivative of -5*i**9/6048 + i**7/56 + i**6/18 + i**5/16 + 8*i**3 - 39. Let g(b) be the third derivative of m(b). Factor g(j).
-5*j*(j - 3)*(j + 1)**3/2
Let y be (-31*(-5)/(-35) + 5)*(9 + 13). Let 0 - y*o**3 - 2*o**4 - 150/7*o**2 - 36/7*o = 0. Calculate o.
-3, -2/7, 0
Let s be (-5)/((-165)/(-48))*2. Let j = s - -182/55. Find v, given that -1/5 + j*v - 1/5*v**2 = 0.
1
Let x(c) be the second derivative of -c**4/3 - 2*c**3 + 8*c**2 - 79*c. Find s such that x(s) = 0.
-4, 1
Let x = 7 + -29. Let h = -20 - x. Factor 50*v - 24*v - 23*v - 6 + 3*v**h.
3*(v - 1)*(v + 2)
Suppose -8*c = 2*c - 120. Suppose -15*t + 1051*t**4 - c*t**2 - 3*t**5 + 2*t**3 + 15*t**3 - 1039*t**4 + t**3 = 0. What is t?
-1, 0, 1, 5
Let d = -33639 - -33641. Suppose -3/4 + 3/4*c**d + 1/4*c - 1/4*c**3 = 0. What is c?
-1, 1, 3
Suppose 4*n + 0*n - 21 = 3*x, -n - 4*x = 9. Factor -16*a + 5*a**3 - 2*a**n + a**3.
4*a*(a - 2)*(a + 2)
Let c be 168/20 + (-9)/(-15). Suppose i = -w - 2*i + c, 6 = 3*i. Let -t + 4*t + 3*t**2 + w*t + 0*t**2 = 0. Calculate t.
-2, 0
Let u(x) = -5*x**3 - 92*x**2 + 183*x - 92. Let k(p) = -2*p**3 - p**2. Let s(h) = -2*k(h) + u(h). Factor s(z).
-(z - 1)**2*(z + 92)
Let q be (-7 - 98)*(0 - (0 - 2)). Let x be q/245 + (1 - 0/(-1)). Factor -8/7*o**3 + 10/7*o**2 - x - 1/7*o.
-(o - 1)*(2*o - 1)*(4*o + 1)/7
Let k(v) = -2*v - 3. Let o be -6 - -2*9/6. Let m be k(o). Find s, given that -12*s**3 + 2*s**2 + 7*s + 8*s**m - 2*s**4 - 3*s = 0.
-2, -1, 0, 1
Let p be (36/(-10))/3*1000/(-1050). Suppose p - 2*y**2 + 24/7*y = 0. Calculate y.
-2/7, 2
Let g be -2*(-12)/(-30)*-5. Suppose 12/7*s**3 + 9/7*s**g - 2/7*s**2 + 1/7 - 4/7*s = 0. What is s?
-1, 1/3
Factor 32*f**3 - 107*f**2 + 48*f**3 - 87*f - 45*f**3 + 84 + 52*f**3 - 3*f**4 + 26*f**2.
-3*(f - 28)*(f - 1)**2*(f + 1)
Let j be ((-34)/12 - -2)*(288/40 + -8). Solve -2/3*w**3 + 0*w + 0 + 2/3*w**2 + j*w**5 - 2/3*w**4 = 0.
-1, 0, 1
Let v(s) = 2*s**3 + 19*s**2 + 17*s - 5. Let d(t) = 3*t**3 + 28*t**2 + 25*t - 8. Let w(q) = 5*d(q) - 8*v(q). Suppose w(o) = 0. What is o?
-11, -1, 0
Factor 75 + 2*r**2 - 3 + 62*r - 38*r.
2*(r + 6)**2
Let k(g) be the second derivative of -g**6/135 - 2*g**5/45 - g**4/18 + 39*g. Find m such that k(m) = 0.
-3, -1, 0
Let k(z) be the second derivative of -z**4/18 - 19*z**3/12 - 7*z**2/6 + 88*z - 1. Factor k(y).
-(y + 14)*(4*y + 1)/6
Factor 6/5*z + 2*z**3 - 14/5*z**2 - 2/5*z**4 + 0.
-2*z*(z - 3)*(z - 1)**2/5
Let u(q) = q**3 + q**2 + q + 1. Let l(z) = 7*z**2 + 9*z - 6. Let r(m) = -l(m) + u(m). Let c be r(7). Factor v**2 + 3*v + c + 0*v + 2.
(v + 1)*(v + 2)
Let b be (61/305)/(0/1 + 1). Let t(f) be the second derivative of 1/2*f**5 - b*f**6 - 5/3*f**3 + 2*f**2 + 0 - f + 1/6*f**4. Determine o, given that t(o) = 0.
-1, 2/3, 1
Let p(t) be the second derivative of 0 - 7*t - 1/20*t**5 - 2/3*t**3 + 0*t**2 - 1/3*t**4. Factor p(y).
-y*(y + 2)**2
Suppose c - 4 = 1. Suppose 162*q**2 + q**4 - 4 - 4*q - 4 + c*q**3 - 156*q**2 = 0. What is q?
-2, 1
Let z(p) be the first derivative of 85*p**3 + 115*p**2/2 + 10*p - 141. Suppose z(m) = 0. What is m?
-1/3, -2/17
Let l(k) = -210*k**4 - 220*k**3 - 55*k**2. Let u(i) = 19*i**4 + 20*i**3 + 5*i**2. Suppose 0 = -0*g - g + 45. Let p(v) = g*u(v) + 4*l(v). What is t in p(t) = 0?
-1, -1/3, 0
Suppose -6*u + 11*u - 41 = 4*a, 0 = -5*u + a + 29. Suppose 3*f = 6, -4*y - 2*f + u = 1. Factor 2/5*k + y - 1/5*k**2 - 1/5*k**3.
-k*(k - 1)*(k + 2)/5
Let q(j) = j**2 - 1. Let k(n) = 2*n**3 - 13*n**2 + 6*n + 21. Let i(l) = -2*k(l) - 2*q(l). Factor i(t).
-4*(t - 5)*(t - 2)*(t + 1)
Let j = -147 + 150. Let s(o) be the first derivative of 1/4*o**j + 3/4*o**2 + 0*o + 4. What is c in s(c) = 0?
-2, 0
Let q(l) = -3*l**3 - 8*l**2 - 11*l - 7. Let i be q(-6). Determine p so that -10*p + 14*p**2 - i*p**3 + 417*p**3 + 18 - 20*p = 0.
1, 3
Let h be -8 - (0 + 0)/(-4 - -2). Let d be (h/(-10))/(7 - 6). Factor 12/5*j + d*j**2 + 8/5.
4*(j + 1)*(j + 2)/5
Let j(m) = -14*m**2 - 211*m - 208. Let o be j(-14). What is v in -1/2*v**3 + 0*v + 0 + v**4 - 1/2*v**5 + 0*v**o = 0?
0, 1
Let c(q) be the second derivative of -q**8/20160 + q**7/3024 + q**6/1440 - 7*q**4/6 + q. Let v(k) be the third derivative of c(k). Factor v(r).
-r*(r - 3)*(2*r + 1)/6
Let b(d) = -2*d + 6. Let w be b(0). Suppose 4*c - 2*l - 12 = 0, -l = -2*c - 3*l + w. Factor -y**3 - 3 + 3*y**2 - 7*y**3 + 5*y**3 + c*y.
-3*(y - 1)**2*(y + 1)
Let v(r) be the second derivative of r**7/525 - r**5/50 + r**4/30 - 23*r**2/2 - 19*r. Let x(b) be the first derivative of v(b). What is h in x(h) = 0?
-2, 0, 1
Let l(k) be the first derivative of 32 + 16*k + 4/5*k**5 + 6*k**4 + 24*k**2 + 52/3*k**3. Factor l(n).
4*(n + 1)**2*(n + 2)**2
Let s(k) be the third derivative of k**8/294 + 23*k**7/735 + k**6/14 - 3*k**5/70 + 33*k**2 - 1. Let s(v) = 0. Calculate v.
-3, 0, 1/4
Suppose -1330*w = -1310*w. Suppose -6*s**2 + 5/2*s**3 + 2*s + w = 0. What is s?
0, 2/5, 2
Let p(v) be the first derivative of v**4/24 - v**2/4 + 12*v - 5. Let k(o) be the first derivative of p(o). Factor k(a).
(a - 1)*(a + 1)/2
Factor 214 - 3*z**2 + 337 - 12*z - 416.
-3*(z - 5)*(z + 9)
Let x(k) = -6*k**4 + 24*k**3 + 26*k**2 - 84*k - 48. Let s(n) = -4*n**4 + 16*n**3 + 17*n**2 - 55*n - 32. Let c(l) = 8*s(l) - 5*x(l). Solve c(w) = 0.
-1, 2, 4
Let b be 4 - (4/28 - (-14)/(-98))/4. Find j, given that 4/7*j**5 + 0 + 8/7*j**b - 8/7*j**2 - 4/7*j + 0*j**3 = 0.
-1, 0, 1
Let w = 376 + -376. Let y(x) be the third derivative of 0*x**3 + 0*x**4 - 1/360*x**5 + w*x**6 - 10*x**2 + 0 + 0*x + 1/1260*x**7. Factor y(p).
p**2*(p - 1)*(p + 1)/6
Suppose 0 = 4*c - 7 - 13. Let i(a) be the first derivative of 2/45*a**c + 4 + 0*a**3 + 0*a**2 + 0*a + 0*a**4 + 1/27*a**6. Determine y, given that i(y) = 0.
-1, 0
Let q(v) = -v**2 - 12*v - 6. Let d be q(-11). Let n(m) be the first derivative of 1/24*m**6 + 0*m**2 + 1/10*m**d - 1/16*m**4 - 5 + 0*m - 1/6*m**3. Factor n(s).
s**2*(s - 1)*(s + 1)*(s + 2)/4
Let f(s) be the third derivative of s**6/120 + s**5/60 - 3*s**4/8 - 3*s**3/2 + 2*s**2 - 16*s. Factor f(c).
(c - 3)*(c + 1)*(c + 3)
Let n(b) be the second derivative of b**4/12 + 2*b**3/3 + b**2/2 - 3*b. Let p be n(-5). Suppose p*u**2 + 2*u**3 + 7*u**2 + 2*u**3 - u**2 - 16 = 0. What is u?
-2, 1
Suppose 2*x = -2*x - 28. Let t be (-78)/(-42) - 1/x. Find l, given that 6*l**4 + 3*l - 4*l**5 - 7*l**t + l**2 + l**5 = 0.
-1, 0, 1
Let w be (-60)/210*(-10 - (-2 + -1)). What is j in -9/7 + 6/7*j - 1/7*j**w = 0?
3
Let v be (3 - 68/24)*7. Let h = v + -1/2. Factor -2/3*g**2 + 4/3*g - h.
-2*(g - 1)**2/3
What is r in -2*r**3 - 145 + 178*r + 86*r**2 + 261 - 26 = 0?
-1, 45
Let u(a) be the third derivative of -a**7/420 - 7*a**6/120 - 53*a**5/120 - 19*a**4/12 - 3*a**3 - 169*a**2. Factor u(j).
-(j + 1)*(j + 2)**2*(j + 9)/2
Let p = 2056/7539 + 14/1077. Factor 18/7*t**2 + 0 + p*t**4 + 0*t + 12/7*t**3.
2*t**2*(t + 3)**2/7
Suppose -2*x - 34 = -5*j, 0 = 3*j - 2*x + 4*x - 30. Find g such that 8*g - j*g**3 - 36*g**4 + 18*g**4 + 4*g**2 + 14*g**4 = 0.
-2, -1, 0, 1
Let p(x) be the third derivative of -7*x**6/360 + 2*x**5/15 - x**4/6 - 9*x**3/2 - 9*x**2. Let o(q) be the first derivative of p(q). Factor o(r).
-(r - 2)*(7*r - 2)
Let u(c) be the first derivative of -1/48*c**4 + 0*c**3 - 4*c - 6 + 