a*(a - 1)**4/5
Suppose -z - 134 = -3*g, -g - 2*z = 2*z - 62. Determine v, given that 2*v**2 + g + 0*v**2 + 28*v + 52 = 0.
-7
Let k(p) = -p**3 + 6*p**2 - 53*p + 422. Let v be k(7). Let l(z) be the first derivative of -1 + 4/7*z + 1/7*z**v - 2/21*z**3. Determine m, given that l(m) = 0.
-1, 2
Let v = -2166 - -2170. Let s be 0/(-4) + -1 + 3. Factor -1/2*l**v + 0*l + 0*l**s + 0 - l**3.
-l**3*(l + 2)/2
Let g(k) = -4*k**4 + 5*k**3 - 4*k**2 - 3. Let b(t) = 3*t**4 - 4*t**3 + 3*t**2 + 2. Let i(m) = -3*b(m) - 2*g(m). Factor i(l).
-l**2*(l - 1)**2
Let c(k) be the first derivative of -k**5/15 + k**4/6 + 4*k**3/9 - k**2/3 - k + 424. Determine n so that c(n) = 0.
-1, 1, 3
Let g(y) = 2*y**2 - 5*y - 1. Let l be g(3). Suppose 2*r + 21 = 5*p, r - 4*r - l*p = -16. Factor 0*d - d + d**r + d**3 - 21*d**4 + 20*d**4 + 0*d**3.
-d*(d - 1)**2*(d + 1)
Let f = -88 - -90. Factor 33*w - 35*w - 2*w**3 + 13*w**f - 9*w**2.
-2*w*(w - 1)**2
Let h be (-6)/9*1 + (-50)/(-3). Factor 18*v**4 + 12*v**3 + 44*v**2 - 14*v**3 - 46*v**3 - h*v + 2.
2*(v - 1)**2*(3*v - 1)**2
Suppose 4*o - 176 = 2*o. Factor o*y - y**2 + 6*y**2 - 98*y.
5*y*(y - 2)
Let y(g) be the second derivative of 7*g**4/78 + 11*g**3/13 - 10*g**2/13 + 3*g - 14. Determine a so that y(a) = 0.
-5, 2/7
Let a(f) be the second derivative of -f**5/360 - f**4/36 - f**3/9 + 21*f**2/2 + 23*f. Let v(l) be the first derivative of a(l). Let v(c) = 0. What is c?
-2
Let c(d) be the third derivative of d**8/280 - 4*d**7/175 - 3*d**6/50 + 2*d**5/25 + d**4/4 - 5*d**2 - 2*d. Determine k so that c(k) = 0.
-1, 0, 1, 5
Let j(q) be the first derivative of q**7/1470 - q**6/280 - q**2 + 6. Let m(u) be the second derivative of j(u). Factor m(d).
d**3*(d - 3)/7
Let m(c) be the second derivative of c**5/60 + 2*c**4/9 + 17*c**3/18 + 5*c**2/3 - 2*c + 3. Factor m(a).
(a + 1)*(a + 2)*(a + 5)/3
Factor 0*s + 0 + 3/7*s**2.
3*s**2/7
Factor 316*s - 3*s**2 - 376*s + 225 - 2*s**2.
-5*(s - 3)*(s + 15)
Let k(u) be the first derivative of 1/3*u**3 - 15 + u**2 + 0*u. Factor k(v).
v*(v + 2)
Let c(y) be the second derivative of -y**5/20 + y**4/2 + 5*y**3/2 - 50*y**2 - 29*y + 1. What is a in c(a) = 0?
-4, 5
Let l = 187/54 - 115/54. Let 5/3*t**3 + l*t + 0 + 4*t**2 = 0. What is t?
-2, -2/5, 0
Let z(p) = -2*p - 12. Let c be z(-8). Factor 5 - c + 7 - 3*k + 4*k**2 + 15*k.
4*(k + 1)*(k + 2)
Let g(n) be the second derivative of n**6/80 - 57*n**5/160 + 5*n**4/2 + 25*n**3/4 - 266*n. Let g(x) = 0. What is x?
-1, 0, 10
Let r(h) = 44*h + 10. Let w be r(-5). Let j = 212 + w. Factor -10/3*a**2 - j*a + 4/3.
-2*(a + 1)*(5*a - 2)/3
Let m(y) = -y**3 + 9*y**2 + y - 5. Let f be m(9). Suppose -3*o - 9 = -3*c, 0*o + 3*o = 4*c - 14. Factor 18*i + 6*i**3 + 4*i**2 - 17*i - i**5 + 4*i**f + 2*i**c.
i*(i + 1)**4
Let u(n) = 30*n - 45. Let f(b) = -7*b**2 + 6*b. Let g(l) = -20*l**2 + 17*l. Let w(s) = -17*f(s) + 6*g(s). Let t(i) = -u(i) - 5*w(i). Factor t(o).
5*(o - 3)**2
What is g in 74/19*g**3 + 4/19*g**5 + 30/19*g**4 + 18/19*g + 0 + 66/19*g**2 = 0?
-3, -1, -1/2, 0
Let q be ((-820)/88)/(-5) - 60/40. Let i be 6/9 - 32/66. Find w, given that 0*w**2 - i*w**4 - q*w**3 + 4/11*w + 2/11 = 0.
-1, 1
Let q(w) be the third derivative of 0 + 1/100*w**5 - 2/15*w**3 + 0*w + 1/150*w**6 + 6*w**2 + 1/1050*w**7 - 1/30*w**4. Suppose q(m) = 0. Calculate m.
-2, -1, 1
Let f = -453 + 54361/120. Let s(k) be the second derivative of -1/12*k**3 - 5*k + 1/40*k**5 + 0 - f*k**6 + 0*k**2 + 1/48*k**4. Find v such that s(v) = 0.
-1, 0, 1, 2
Suppose 5*g = -0*g + 5*d + 15, -3*d = -4*g + 13. Let k(f) be the second derivative of 0 - 1/16*f**g + 1/4*f**2 + 3*f - 1/24*f**3. Factor k(x).
-(x + 1)*(3*x - 2)/4
Let j(o) be the second derivative of -o**5/150 - o**4/30 - 7*o**2 - 7*o. Let f(u) be the first derivative of j(u). Factor f(b).
-2*b*(b + 2)/5
Let b be (-43)/(-28) + 4/(-14). Let i = 193/52 - 32/13. Let i*g**3 + 1/2 - 1/2*g**2 - b*g = 0. Calculate g.
-1, 2/5, 1
Let z be 5 - (-12)/(-5) - (1 + 0). Let f = z + -16/35. Factor 4/7*y**2 + 0 + 2/7*y - 2*y**3 + f*y**4.
2*y*(y - 1)**2*(4*y + 1)/7
Let c(h) be the first derivative of -h**4 - 44*h**3/3 - 72*h**2 - 144*h - 469. Factor c(k).
-4*(k + 2)*(k + 3)*(k + 6)
Let r = 450443/9 - 50049. Factor 154/9*m + 196/9 + 32/9*m**2 + r*m**3.
2*(m + 2)*(m + 7)**2/9
Let o(t) be the second derivative of -t**6/900 + t**5/150 - t**4/60 - 11*t**3/6 + 10*t. Let w(m) be the second derivative of o(m). Factor w(q).
-2*(q - 1)**2/5
Let t(w) be the second derivative of w**4/30 - w**3 - 34*w**2/5 - 251*w. Suppose t(i) = 0. Calculate i.
-2, 17
Find f, given that 473*f + 59*f - 15*f**3 + 88 + 51*f**3 + 816*f**2 = 0.
-22, -1/3
Factor 15*l**2 - l**4 - 5*l**3 + 4*l**4 + 5*l + 3 - 8*l**4 - 13.
-5*(l - 1)**2*(l + 1)*(l + 2)
Let s = -3274 + 3277. Factor 0*y + 2/7*y**s - 4/7*y**2 + 0.
2*y**2*(y - 2)/7
Suppose -d - 5*l + 13 = 0, -2*d - d + l = -23. Suppose -2*v + d = 2*r, -1 = v - 3. Suppose -1/2 - 3/2*x**2 + r*x = 0. What is x?
1/3, 1
Let f = -40628 + 40630. Determine z, given that 0 + 0*z + 1/3*z**f + 1/6*z**3 = 0.
-2, 0
Let y = -1644 - -1646. Let b(p) be the second derivative of 1/24*p**4 - 6*p + 1/6*p**3 + 0 + 1/4*p**y. Factor b(u).
(u + 1)**2/2
Solve -4/3*d**4 + 0*d**2 + 4*d**3 + 0 + 0*d = 0 for d.
0, 3
Let q(v) be the third derivative of v**7/84 + 13*v**6/240 - v**5/20 + 85*v**2. Determine c, given that q(c) = 0.
-3, 0, 2/5
Let s(y) be the third derivative of -y**6/1080 - y**5/90 + 7*y**3/6 - 12*y**2. Let w(h) be the first derivative of s(h). What is d in w(d) = 0?
-4, 0
Let b(o) be the third derivative of 1/6*o**5 + 0 + 3*o**2 + 1/3*o**3 + 1/24*o**6 - 1/672*o**8 + 5/16*o**4 + 0*o + 0*o**7. Find z, given that b(z) = 0.
-1, 4
Find i, given that 0*i**2 - 21/11*i + 20/11 + 1/11*i**3 = 0.
-5, 1, 4
Let q(j) = -3*j + 5. Let u be q(1). Suppose -u - 54*o**2 - 53*o**2 + 10*o + 99*o**2 = 0. Calculate o.
1/4, 1
Suppose -539 = 5*s - 549. Let a(y) be the third derivative of -1/60*y**6 - 4/3*y**3 + 1/10*y**5 + 0*y**4 + 0*y + 0 - 7*y**s. Factor a(o).
-2*(o - 2)**2*(o + 1)
Suppose 4*x = 4*d + 48, -3*x - 20 = -8*x. Let g be ((d/(-27))/((-4)/(-24)))/2. Let 0*i - 2/3*i**2 + g + 2/9*i**3 = 0. What is i?
-1, 2
Let h(a) be the second derivative of -a**8/140 + a**6/40 + a**5/40 - a**3 - 7*a. Let v(j) be the second derivative of h(j). Solve v(b) = 0 for b.
-1/2, 0, 1
Let f(j) = j**2 - 4*j - 2. Let n be f(5). Let m(x) be the second derivative of 0 - 1/9*x**4 - 1/135*x**6 - 4/27*x**n - 1/9*x**2 - 2/45*x**5 + 5*x. Factor m(p).
-2*(p + 1)**4/9
Let a(b) be the first derivative of 49*b**6/33 + 42*b**5/55 - 213*b**4/22 + 46*b**3/33 + 24*b**2 - 288*b/11 + 115. Let a(k) = 0. What is k?
-12/7, 1
Determine j, given that -2/3*j**3 + 4/3*j**2 - 4/3 + 2/3*j = 0.
-1, 1, 2
Let h be -9*1/6*-14. Suppose -14*r + 5 - r**2 + h*r - 11*r = 0. Calculate r.
-5, 1
Let o(w) be the second derivative of w**5/50 + w**4/3 + 17*w**3/15 + 8*w**2/5 + 116*w. Factor o(l).
2*(l + 1)**2*(l + 8)/5
Let m(l) be the second derivative of 1/4*l**5 + 4/5*l**2 - 10*l + 0 + 14/15*l**3 + 4/75*l**6 + 1/210*l**7 + 19/30*l**4. Factor m(j).
(j + 1)**2*(j + 2)**3/5
Factor 10/7*t**3 - 38/7*t**2 + 8/7 + 32/7*t.
2*(t - 2)**2*(5*t + 1)/7
Let r be (-1480)/100 + 15 - (-17)/65. Find h, given that r*h**2 + 2/13*h**3 - 8/13 + 0*h = 0.
-2, 1
Let k(q) be the third derivative of -30*q**2 + 4/105*q**7 - 2/27*q**3 + 0 - 71/540*q**6 + 0*q + 16/135*q**5 + 5/108*q**4. Let k(s) = 0. What is s?
-1/4, 2/9, 1
Let s(t) be the third derivative of 0*t**5 + 0*t - 1/20*t**6 - 7*t**2 - 1/168*t**8 + 4/105*t**7 + 0*t**3 + 0*t**4 + 0. Find a such that s(a) = 0.
0, 1, 3
Suppose -3*l = 2*v - 87, 0*v - 3*v = 0. Factor -31 + 61 - j**3 - l - j**2 + j.
-(j - 1)*(j + 1)**2
Factor 4/13 + 2/13*t - 2/13*t**2.
-2*(t - 2)*(t + 1)/13
Factor -2/3*x**3 - 4/3 + 2*x + 0*x**2.
-2*(x - 1)**2*(x + 2)/3
What is u in 3/4*u**2 + 3/2*u + 3/4 = 0?
-1
Let j(r) be the second derivative of -r**8/420 + r**6/30 + r**5/15 - 5*r**3/2 + 23*r. Let w(l) be the second derivative of j(l). Solve w(i) = 0 for i.
-1, 0, 2
Let w(y) be the second derivative of -y**7/420 - y**6/40 - 11*y**5/120 - y**4/8 + 19*y**2/2 + 8*y. Let m(r) be the first derivative of w(r). Factor m(i).
-i*(i + 1)*(i + 2)*(i + 3)/2
Suppose -9 = -6*z + 3*z. Let -13*y**2 + 19*y**2 - 6 + 2*y**3 + 0*y + y**3 - z*y = 0. What is y?
-2, -1, 1
Let u be -1 - (1 + (-26)/8). Let y be (-8277)/(-117