= -7*i(y) + 6*j(y). Find t such that q(t) = 0.
-1, 3/5
Let r = -26 + 28. Let d(h) be the third derivative of -r*h**2 - 1/60*h**5 + 0 + 1/24*h**4 - 1/120*h**6 + 1/6*h**3 + 0*h. Solve d(y) = 0.
-1, 1
Let w = -21/37 + 935/1517. Let d = 33/164 + w. Solve 3*v + 3/2*v**3 + d*v**4 + 1 + 13/4*v**2 = 0.
-2, -1
Factor 0 + 0*y**3 - 1/5*y**4 + 2/5*y + 3/5*y**2.
-y*(y - 2)*(y + 1)**2/5
Let s(d) be the first derivative of -1/4*d**2 + 1/4*d**4 - 1/3*d**3 - 3 - 1/12*d**6 + 1/2*d + 1/10*d**5. Determine j so that s(j) = 0.
-1, 1
Let h(b) be the third derivative of b**6/120 - b**5/15 + b**4/6 + 6*b**2. Factor h(t).
t*(t - 2)**2
Factor -3*d**2 - 28*d + 26*d + d**2.
-2*d*(d + 1)
Let l(y) be the third derivative of y**6/420 - y**4/28 + 2*y**3/21 - 5*y**2. Find o, given that l(o) = 0.
-2, 1
Let n be (-50)/13 - (-2)/(-13). Let g be (-3)/(-14) + n/(-14). Find x such that -x**3 + 0*x**2 - 1/2*x**4 + g + x = 0.
-1, 1
Factor 0*z**2 + 0 + 1/11*z**3 + 0*z + 4/11*z**4.
z**3*(4*z + 1)/11
Let j(a) be the first derivative of 0*a**2 + 5/18*a**6 + 4/5*a**5 + 3/4*a**4 + 2/9*a**3 + 0*a - 2. Solve j(u) = 0 for u.
-1, -2/5, 0
Let b(z) = -z**3 - z + 8. Let j be b(0). Let d = j - 6. Factor -2/11*v**d - 4/11*v + 0.
-2*v*(v + 2)/11
Let a = -21 - -23. Let p(l) be the first derivative of a + 0*l**2 + 1/12*l**3 - 1/4*l**5 + 0*l + 1/16*l**4 + 1/8*l**6. Factor p(r).
r**2*(r - 1)**2*(3*r + 1)/4
Let a be ((-6)/(-256))/(2/8). Let q = a - -49/160. Find h, given that 0 - q*h - 4/5*h**2 - 2/5*h**3 = 0.
-1, 0
Factor -3/7*p**3 + 3/7*p + 0*p**2 + 0.
-3*p*(p - 1)*(p + 1)/7
Determine s, given that 4/3*s**3 + 2/3*s**4 - 8/3*s - 2*s**2 + 8/3 = 0.
-2, 1
Let j(q) = q**3 - 1 - 2 + 0*q + 2*q - 3*q**2. Let f be j(3). Suppose 3*k**3 - 3*k + 2*k**5 + 5*k**4 - k**2 + f*k - k = 0. Calculate k.
-1, 0, 1/2
Suppose -m + 66 = -3*q, -q + 2*m = -3*q - 52. Let x = q + 47/2. Factor x*g - 1/2*g**4 + 1/2*g**2 + 0 - 1/2*g**3.
-g*(g - 1)*(g + 1)**2/2
Solve 1/5*f + 0 - 1/5*f**3 - 1/5*f**4 + 1/5*f**2 = 0.
-1, 0, 1
Suppose 10/7*m**3 + 0 + 4/7*m + 2*m**2 = 0. Calculate m.
-1, -2/5, 0
Let s(i) be the second derivative of i**5/90 + i**4/27 + 22*i. Factor s(p).
2*p**2*(p + 2)/9
Let a(n) be the first derivative of -7*n**5/5 + 93*n**4/4 - 26*n**3/3 - 39. Factor a(i).
-i**2*(i - 13)*(7*i - 2)
Suppose 3*j + 8 = -2*m + 30, 0 = 4*j - m - 11. Let l**2 - 14*l**j + 13*l**4 - 2*l - l**3 + 3*l = 0. Calculate l.
-1, 0, 1
Factor -20 + 4*l**3 + 16*l**2 + 46 + 20*l - 18.
4*(l + 1)**2*(l + 2)
Let d = 10 - 8. Factor 4*f**5 + 0*f**2 - f**4 - d*f**5 + f**2 + 0*f**3 - 2*f**3.
f**2*(f - 1)*(f + 1)*(2*f - 1)
Let f = 14 - 9. Let u be (1 + 0)/(f/2). Factor 0*t - u*t**3 - 2/5*t**2 + 0.
-2*t**2*(t + 1)/5
Let v(a) = -a**3 + 2*a**2 + 2*a - 2. Let f be v(-2). Factor -3 + 7*r + 3*r**2 + 5*r**3 - 2*r**3 - f*r.
3*(r - 1)*(r + 1)**2
Let m(k) = 21*k**3 + 24*k**2 + 9*k - 12. Let j(b) = 62*b**3 + 72*b**2 + 26*b - 35. Let w(l) = -6*j(l) + 17*m(l). Suppose w(q) = 0. What is q?
-1, 2/5
Let i(u) be the third derivative of u**7/525 - u**5/150 - 8*u**2. Solve i(m) = 0.
-1, 0, 1
Let f be (-16)/(-12)*(-6)/(-4). Let m = 6 + -5. Factor -f*b**2 + 1 + 2*b - m.
-2*b*(b - 1)
Let x(l) be the first derivative of 2*l**5/25 - l**4 + 10*l**3/3 - 4. Factor x(i).
2*i**2*(i - 5)**2/5
Let h be (5 + 18/(-4))*6. Factor 0 - 1/4*y**5 - 3/4*y**h + 0*y + 1/4*y**2 + 3/4*y**4.
-y**2*(y - 1)**3/4
Suppose 3*y = -q + 4, -3 = 4*y + 3*q - 10. Let r(w) be the first derivative of 4*w + 2/3*w**3 + 3*w**2 - y. Factor r(a).
2*(a + 1)*(a + 2)
Let o(r) be the first derivative of -2/3*r + 1/6*r**4 - 2/3*r**3 + r**2 + 2. Find y, given that o(y) = 0.
1
Suppose -14*y - 10*y**2 + 34*y + 4 - 2*y = 0. Calculate y.
-1/5, 2
Let 1/4*y**3 + 675/4*y + 45/4*y**2 + 3375/4 = 0. Calculate y.
-15
Let q = -8 + 16. Let t be 64/24*6/q. Factor 2/7 - 8/7*f**3 - 2/7*f**t + 8/7*f.
-2*(f - 1)*(f + 1)*(4*f + 1)/7
Factor 96/5*z**2 - 128/5*z + 0 + 6*z**3 + 2/5*z**4.
2*z*(z - 1)*(z + 8)**2/5
Suppose 3*j + 2*j - 20 = 0. Factor -s**2 - 4*s**3 - s**2 + 3*s**4 - 6*s**j + s**4.
-2*s**2*(s + 1)**2
Suppose u + 17 = 2*w, -w - 1 + 7 = 2*u. Determine l so that -4*l**4 - 4*l**2 - 4*l + w*l - 4*l + 8*l**3 = 0.
0, 1
Suppose -y + 20 = 4*y. Let r(q) be the third derivative of 0*q**3 + 1/180*q**5 - 1/360*q**6 + 1/72*q**y + 0*q - q**2 - 1/630*q**7 + 0. Factor r(x).
-x*(x - 1)*(x + 1)**2/3
Let b(l) = -10*l**2 - 9*l**2 - 3*l**2 - 16 - l + 6*l**2. Let s(j) = -3*j**2 - 3. Let f = -3 + -8. Let r(d) = f*s(d) + 2*b(d). Solve r(y) = 0 for y.
1
Let q be (1 - 2)*(-1 - (0 - -1)). Suppose 3/4 - 1/2*a - 1/4*a**q = 0. Calculate a.
-3, 1
Suppose 0 = -0*m - 2*m + 8. Let o = 60 - 178/3. Solve 1/3*w**m - 1/3*w - 1/3*w**5 + 1/3 - 2/3*w**2 + o*w**3 = 0 for w.
-1, 1
Let o(v) = -v**2 - 6*v + 10. Let h be o(-7). Find b such that 2*b - 2 - 10*b**h + 3 - 3 + 4*b**4 + 6*b**2 = 0.
-1/2, 1
Let l(q) be the second derivative of q**3 + 1/4*q**4 + 0*q**2 + 4*q + 0. Suppose l(z) = 0. Calculate z.
-2, 0
Let i = 1051/1416 - 2/59. Let p(n) be the third derivative of 27/160*n**6 + n**2 + 21/40*n**5 + 1/3*n**3 + 0*n + 0 - i*n**4. Factor p(z).
(z + 2)*(9*z - 2)**2/4
Let b be (-16)/(-6) - 2/(-6). Factor 2 + 10*i**2 - b*i - 6*i + 9*i**2 - 5*i**3 - 7*i**2.
-(i - 1)**2*(5*i - 2)
Let l be 4/(-14) - ((-123)/63 + 1). Suppose -y**2 + 1/3*y + l = 0. What is y?
-2/3, 1
Let s(f) be the first derivative of 52*f**4 + 0*f + 3 - 448/15*f**5 + 16/3*f**2 + 49/9*f**6 - 256/9*f**3. Factor s(k).
2*k*(k - 2)**2*(7*k - 2)**2/3
Let w(u) = -3*u**5 + 4*u**4 - u**3 - 4*u**2 - 4*u. Let z(j) = 3*j**5 - 3*j**4 + 3*j**2 + 3*j. Let y(i) = -3*w(i) - 4*z(i). Find h, given that y(h) = 0.
-1, 0, 1
Factor -1/2*a**5 + 0*a + 0 + 0*a**3 + 1/2*a**4 + 0*a**2.
-a**4*(a - 1)/2
Let z = -4 - -7. Suppose 2*o**2 - z*o - 9*o**3 + 0*o**2 + 4*o + 2*o**4 - 4*o**2 + 8*o**5 = 0. What is o?
-1, -1/2, 0, 1/4, 1
Let c(h) be the first derivative of -3*h**5/5 - 6*h**4 - 24*h**3 - 48*h**2 - 48*h - 1. Suppose c(n) = 0. What is n?
-2
Let a(s) be the third derivative of -s**9/90720 + s**7/5040 - s**6/2160 - s**4/8 + s**2. Let o(p) be the second derivative of a(p). Find d such that o(d) = 0.
-2, 0, 1
Let w be (-30)/(-8) - (-2)/8. Let s(r) = -r + 4. Let h be s(w). Find b, given that -1/4*b - 1/4*b**2 + h = 0.
-1, 0
Let u(r) be the first derivative of -1/4*r**2 - 1 - 3/16*r**4 + 0*r + 5/12*r**3. Let u(n) = 0. Calculate n.
0, 2/3, 1
Let v = 2/1685 + 2704/561105. Let i = 656/1665 + v. Factor 0 + 1/5*n**2 - i*n.
n*(n - 2)/5
Let h(x) be the first derivative of x**4/3 + 2*x**3/3 - 4*x**2 + 9*x + 6. Let s(q) be the first derivative of h(q). Let s(d) = 0. Calculate d.
-2, 1
Let b = -62 - -64. Determine v so that 9/7*v + 24/7*v**b - 6/7 + 9/7*v**3 = 0.
-2, -1, 1/3
Factor -i**2 + 0 + 0*i - 1/3*i**3.
-i**2*(i + 3)/3
Let 20 - 29 + 12*m - 2*m**2 - m**2 = 0. Calculate m.
1, 3
Let t(d) = -d**5 + d**4 + d**2 - 1. Let u(m) = -5*m**5 + 3*m**4 + 9*m**3 - 7*m**2 + 4*m - 4. Let g(c) = 12*t(c) - 3*u(c). Solve g(v) = 0 for v.
-4, 0, 1
Let t be (-64)/(-6) - (-2)/(-3). Suppose -3*c + c = -t. Determine d, given that d**3 - c*d + 2 - 3*d + 0*d + 5*d = 0.
-2, 1
Suppose 9*s - 7*s - 8 = 0. Suppose 2*t - 2*x = -2*t + 8, s*t - 22 = -5*x. Suppose 0*a**t + 1/2*a**2 - 1/4 - 1/4*a**4 + 0*a = 0. Calculate a.
-1, 1
Let i(l) be the second derivative of l**6/210 - l**4/28 - l**3/21 + 6*l. Determine r, given that i(r) = 0.
-1, 0, 2
Let r(p) = p**3 + 4*p**2 - 6*p - 1. Let c be r(-5). Let 4*o**2 + 4 - 3 + 0 + c*o = 0. What is o?
-1/2
Let i(v) be the second derivative of -v**6/90 + v**4/12 + v**3/9 - 3*v. Suppose i(r) = 0. What is r?
-1, 0, 2
Let r(l) = 11*l**3 + 4*l**2 - 16*l + 1. Let p(z) = -z**3 + 1. Let s(k) = 5*p(k) - r(k). Find o, given that s(o) = 0.
-1, -1/4, 1
Let i(p) be the second derivative of -p**6/5 - p**5 - 7*p**4/6 + 4*p**3/3 + 4*p**2 + 6*p. Let i(q) = 0. What is q?
-2, -1, 2/3
Suppose -16/5*l + 4/5*l**5 - 16/5*l**4 + 12/5*l**3 + 16/5*l**2 + 0 = 0. What is l?
-1, 0, 1, 2
Let k = 3046/13 + -234. Find g, given that -8/13*g + 4/13*g**3 + k*g**5 + 8/13*g**2 + 2/13 - 10/13*g**4 = 0.
-1, 1/2, 1
Let g(k) be the first derivative of k**6/180 - k**4/12 + k**3 - 3. Let y(h) be the third derivative of g(h). Suppose y(a) = 0. Calculate a.
-1, 1
Let i = -25 + 28. Suppose -2 = j + x - 5, -i*j + 1 = -5*x. Factor -3/4*z**j - 3/4*z + 0.
-3*z*(z + 1)/4
Let i = -27 - -29. Determine l so that 3*l**