, -1/4
Let x(z) be the second derivative of z**4/8 + 27*z**3/4 + 39*z**2/2 + 24*z + 4. Factor x(k).
3*(k + 1)*(k + 26)/2
Let c be -98 + 102 + (0 - 0) + 20/25. Factor -c*p + 12/5 - 3/5*p**3 + 3*p**2.
-3*(p - 2)**2*(p - 1)/5
Let a(o) be the first derivative of -3*o**5/40 - o**4/24 - 6*o - 4. Let q(b) be the first derivative of a(b). Factor q(y).
-y**2*(3*y + 1)/2
Let w(m) = -3*m**2 - m + 18. Let h = -17 - -14. Let l(b) = 3*b**2 - 18. Let o(x) = h*w(x) - 4*l(x). What is f in o(f) = 0?
-2, 3
Let 20/3 + 3*f**2 + 1/3*f**3 + 8*f = 0. What is f?
-5, -2
Let d(t) = 12*t**4 + 33*t**3 + 45*t**2 - 69*t - 39. Let y(o) = -o**4 + 2*o**3 + 2*o - 1. Let r(v) = -d(v) - 9*y(v). Determine p so that r(p) = 0.
-16, -1, 1
Let a(h) be the second derivative of 1/6*h**4 - 16*h - 1/5*h**5 + 1/15*h**6 + 0*h**2 + 0*h**3 + 0. Find s such that a(s) = 0.
0, 1
Suppose 2*g = -2*h - 3*h, 0 = -h - g - 3. Find d such that d**3 - h*d**2 + 1150*d - 10*d**2 - 1114*d = 0.
0, 6
Let g(x) = x - 1 - x**3 + 0*x**2 - 16*x**2 + 15*x**2. Let s(z) = z**3 - 15*z**2 - 21*z + 5. Let l(d) = 5*g(d) + s(d). Factor l(k).
-4*k*(k + 1)*(k + 4)
Let p(c) = -c + 5. Let q be p(2). Factor 2*w**q - 12*w + 4*w**2 + 4*w**3 - w**4 - 3*w**4 + 6*w**3.
-4*w*(w - 3)*(w - 1)*(w + 1)
Suppose 0 + 1/4*u**2 - 23/4*u = 0. What is u?
0, 23
Let r be 8*48/320*2. Determine f, given that 3/5*f**5 - 12/5*f**2 + 12/5*f**4 + 0 - r*f + 9/5*f**3 = 0.
-2, -1, 0, 1
Let m(g) = -17*g**3 + 24*g**2 - 25*g. Let x(v) = -8*v**3 + 12*v**2 - 12*v. Suppose -5*k = 8 + 37. Let t(l) = k*x(l) + 4*m(l). What is a in t(a) = 0?
0, 1, 2
Factor 26*i - i**4 + 6*i**4 - 26*i - i**5.
-i**4*(i - 5)
Find l such that -41*l - 8*l + 13*l + 12*l**2 - l**3 = 0.
0, 6
Let l(k) = -15*k - 45. Let t be l(-3). Let w be (-8)/(-6) - (-2)/3. Let u**2 - 2*u**w + u**3 + t*u**3 + 0*u**3 = 0. Calculate u.
0, 1
Suppose 0*g = -g + 5*c + 21, 2*g + 3*c - 29 = 0. Factor 7*n**3 - 15*n**2 - 5 - g*n**3 + 14*n**3 + 15*n.
5*(n - 1)**3
Let i(l) be the second derivative of 10*l**7/7 - 62*l**6/15 - 39*l**5/5 - 3*l**4 - 52*l - 2. Solve i(k) = 0 for k.
-3/5, -1/3, 0, 3
Let k(y) = y**3 - 22*y**2 + 111*y - 240. Let t be k(16). Let p = -1 + 4. Find q, given that -2/11*q**5 + 0 + 0*q**4 + 0*q**2 + 0*q**p + t*q = 0.
0
Let u be 10 + (-616)/(-256)*-4. Let -3/4*z - u*z**2 + 9/8 = 0. Calculate z.
-3, 1
Let i**5 + 9*i**5 + 2*i**2 + 6*i + 4*i + 5*i**4 - 30*i**3 + 7*i**2 - 4*i**2 = 0. Calculate i.
-2, -1/2, 0, 1
Suppose 0*l - 6*l + 24 = 0. Suppose -4*m - l = 4*k, 0 = 3*m + 2*m - 3*k - 35. What is x in -1/3*x**2 - x**3 - 1/3*x**m + 2/3 + x = 0?
-2, -1, 1
Let m = 407 - 405. Factor -2/5*j**m + 4/5*j + 0.
-2*j*(j - 2)/5
Let f(w) be the first derivative of -98*w**5/25 + 21*w**4/10 + 212*w**3/5 + 172*w**2/5 + 48*w/5 - 222. Solve f(i) = 0.
-2, -2/7, 3
Let u = 4899/580 - 75/116. Factor -12/5*f**3 - 6/5 - u*f**2 - 33/5*f.
-3*(f + 1)*(f + 2)*(4*f + 1)/5
Let w be 3/(3*(-2)/(-18)). Let m = w - 6. Factor 4*g**4 + 5*g**5 - 2*g**m - 3*g**5 + 4*g**3.
2*g**3*(g + 1)**2
Let v(f) be the second derivative of 3*f**5/16 + 185*f**4/48 + 25*f**3/12 - 15*f**2 + 5*f + 8. Factor v(z).
5*(z + 1)*(z + 12)*(3*z - 2)/4
What is a in -1/4*a**3 - 1/2*a**2 + 3/2 + 5/4*a = 0?
-3, -1, 2
Let b(l) be the second derivative of -9*l**5/140 - l**4/2 - 10*l**3/7 - 12*l**2/7 - l - 7. Solve b(k) = 0 for k.
-2, -2/3
Let t(u) be the first derivative of 0*u**2 + 4/3*u**3 + 4/5*u**5 - 2*u**4 + 15 + 0*u. Factor t(i).
4*i**2*(i - 1)**2
Factor 57/2*i + 63 - 3/2*i**2.
-3*(i - 21)*(i + 2)/2
Factor 16*w**3 + 33*w**4 - 35*w**4 - 50*w**2 + 4*w**3.
-2*w**2*(w - 5)**2
Let m = 1989 + -1986. Let i(j) be the second derivative of 0*j**m + 0*j**5 + 0 - 4*j + 1/6*j**6 - 5/12*j**4 + 0*j**2. Let i(t) = 0. What is t?
-1, 0, 1
Let v = 8725 + -8725. Factor 0*x**2 + v*x - 3/4*x**4 - 3/4*x**5 + 3/2*x**3 + 0.
-3*x**3*(x - 1)*(x + 2)/4
Suppose -2*q = -5*q - 15, -34 = 4*x + 2*q. Let r be (80/15 - 5)/((-5)/x). Determine p so that -6/5*p**3 - 6/5*p**2 - r*p**4 - 2/5*p + 0 = 0.
-1, 0
Let w(o) be the second derivative of -5*o**8/1344 - o**7/126 - o**4/3 + 5*o**3/6 - 9*o + 3. Let g(h) be the third derivative of w(h). Find s such that g(s) = 0.
-4/5, 0
Let g(p) be the first derivative of -5*p**7/336 - p**6/72 - p**5/240 - 8*p**3/3 - 9. Let u(x) be the third derivative of g(x). Let u(c) = 0. What is c?
-1/5, 0
Factor 41/4*h**2 - 20 + 19/2*h + 1/4*h**3.
(h - 1)*(h + 2)*(h + 40)/4
Suppose -59*p + 60 = -44*p. Factor -3/7*a**p + a**3 + 0 + 0*a**2 - 4/7*a.
-a*(a - 2)*(a - 1)*(3*a + 2)/7
Let b be (-1)/(((-6)/(-15))/(8/(-10))). Let c(u) = -u**3 + 3*u**2 - 2*u - 1. Let k(x) = -x**2 + x + 1. Let m(g) = b*c(g) + 2*k(g). What is w in m(w) = 0?
0, 1
Let t(i) = -6*i**2 + 11*i - 3. Let a(u) = 5*u**2 - 12*u + 2. Let l(f) = f**2. Let y(d) = -a(d) - 2*l(d). Let g(m) = 6*t(m) - 5*y(m). Factor g(b).
-(b - 4)*(b - 2)
Let r be (-13 + 10)/(0 - 1). Suppose p + 4*p - 15 = 0. Suppose 3*g**5 + 13*g**3 - 12*g**2 + g**5 - p*g**5 - 6*g**4 + r*g + g = 0. Calculate g.
0, 1, 2
Let c be 1/3 + 16/6. Let w(b) = -b**4 - 3*b**3 + 11*b**2 + 3*b - 4. Let h(u) = -2*u**4 - 2*u**3 + 10*u**2 + 2*u - 4. Let s(i) = c*h(i) - 2*w(i). Factor s(r).
-4*(r - 1)**2*(r + 1)**2
Suppose -17 = 5*u + 128. Let m = 146/5 + u. Factor -1/5*k**3 + 1/5*k**4 + m*k - 1/5*k**2 + 0.
k*(k - 1)**2*(k + 1)/5
Let f = 156563/8 - 19569. What is b in 1/2 - b - f*b**2 - 3/8*b**3 = 0?
-2, 1/3
Let f be (62/(-9))/(119/(-51)). Let s = 30/7 - f. Factor 0*a + 0 + s*a**2.
4*a**2/3
Suppose 3 = 41*c - 161. Let j(z) be the first derivative of 16/3*z + 4/3*z**2 + 14 - 4/9*z**3 - 1/6*z**c. Let j(t) = 0. Calculate t.
-2, 2
Let i be 4/((-16)/(-20)) + 1. Suppose i*a - a = 20. Determine t so that 0*t**3 + 0 - a - 6*t + 2*t**3 = 0.
-1, 2
Let b(m) = 3*m**2 - 80*m - 2. Let l(v) = -5*v**2 + 160*v + 5. Let z(s) = -5*b(s) - 2*l(s). Suppose z(h) = 0. What is h?
0, 16
Let o(u) be the second derivative of 5*u**6/6 - 2*u**5 + 5*u**4/12 + 5*u**3/3 - 214*u. Determine w so that o(w) = 0.
-2/5, 0, 1
Let v(z) be the third derivative of z**7/105 + z**6/12 - 9*z**5/5 + 31*z**4/3 - 88*z**3/3 + 179*z**2. Suppose v(c) = 0. What is c?
-11, 2
Let s(x) be the first derivative of -x**4/4 + x**3 - 4*x + 43. Let s(b) = 0. Calculate b.
-1, 2
Let s(u) be the first derivative of 18 - 10*u + 0*u**3 + 5/4*u**4 - 15/2*u**2. Suppose s(a) = 0. Calculate a.
-1, 2
Factor -1/6 + 1/2*m**2 + 1/3*m**4 + 5/6*m**3 - 1/6*m.
(m + 1)**3*(2*m - 1)/6
Let w(p) be the third derivative of 0*p - 1/18*p**6 + 1/3*p**4 - 1/30*p**5 + 4/9*p**3 + 29*p**2 - 1/105*p**7 + 0. Solve w(s) = 0 for s.
-2, -1/3, 1
Find g, given that -1304*g**4 + 3*g**5 + 686*g**4 + 132*g**3 - 135*g + 654*g**4 - 150 + 114*g**2 = 0.
-5, -2, -1, 1
Let i(t) be the second derivative of -t**6/10 - 12*t**5 + 163*t**4/4 - 41*t**3 + t + 140. What is l in i(l) = 0?
-82, 0, 1
Suppose -3143*z = -3154*z. Factor 2/7*a**4 - 8/7*a + 2/7*a**3 + z - 8/7*a**2.
2*a*(a - 2)*(a + 1)*(a + 2)/7
Let i(o) be the first derivative of 35*o**4/24 - 125*o**3/9 - 481. Determine j so that i(j) = 0.
0, 50/7
Let j = 2545/12 + -212. Let p(v) be the second derivative of 0*v**5 + 0 - 1/16*v**4 + 1/120*v**6 - j*v**3 + 0*v**2 - 8*v. What is l in p(l) = 0?
-1, 0, 2
Let u(x) be the second derivative of x**7/1260 + x**6/720 - x**5/120 - x**4/144 + x**3/18 - x**2/2 + 2*x. Let a(h) be the first derivative of u(h). Factor a(m).
(m - 1)**2*(m + 1)*(m + 2)/6
Let g(z) be the second derivative of z**4/24 + 25*z**3/3 + 99*z**2/4 - 500*z. Let g(v) = 0. What is v?
-99, -1
Let j(l) be the third derivative of -l**6/70 + 13*l**5/105 + 2*l**4/3 + 8*l**3/7 - 10*l**2 + 6*l. Determine t so that j(t) = 0.
-1, -2/3, 6
Suppose 8*u = -5*g + 5*u + 90, 4*g + 3*u - 72 = 0. Let y be (-85)/(-30) + 3/g. Let -14/3*r**y - 4/3*r**2 - 2*r**4 + 0 + 0*r = 0. What is r?
-2, -1/3, 0
Let f(g) = -g**3 + 7*g**2 - 10*g - 4. Let k be f(4). Solve 4 - s**2 - k + 4*s**4 + 4 - 7*s**2 = 0 for s.
-1, 1
Determine y, given that -24*y - 24*y**3 + 0 - 1/2*y**5 - 40*y**2 - 6*y**4 = 0.
-6, -2, 0
Let o(s) = -s**2 + 6*s + 3. Let j be o(6). Let t = 22406 - 246306/11. Suppose 32/11 + 48/11*i**2 - 206/11*i**4 - 210/11*i**5 + 496/11*i**j - t*i = 0. What is i?
-2, -2/3, 2/7, 2/5, 1
Suppose -13 = -5*n - z, -5*z + 0 = 5*n - 25. Factor -6*x + x**2 - 5*x - n*x**3 - 7*x**2 + 7*x.
-2*x*(x + 1)*(x + 2)
Let q be -3*(0 + -2 + (2 - 1)). Factor -h**4 - h**q +