e (-8)/3 - 1/((-162)/459). Factor o*a**2 + 25/6 + 5/3*a.
(a + 5)**2/6
Let d(c) = -178*c**2 + 354*c - 2. Let h(j) = 178*j**2 - 356*j + 4. Let z(u) = 2*d(u) + 3*h(u). What is y in z(y) = 0?
2/89, 2
Let g(h) be the first derivative of -h**6/480 - h**5/60 - h**4/24 + 5*h**2 + 20. Let u(f) be the second derivative of g(f). Factor u(c).
-c*(c + 2)**2/4
Let n be ((-4)/9)/(840/(-630)). Factor n*g + 0 + 1/3*g**2.
g*(g + 1)/3
Determine v, given that 15*v**2 + 27*v**2 - 409*v**5 - 42*v**4 + 226*v**5 + 210*v**5 - 51*v**3 + 24*v = 0.
-1, -4/9, 0, 1, 2
Suppose w + 5*r = -2, -w + 5*r = -3*w + 1. Suppose 2*b = -w*i + 15, 0*i + 5*i - 4*b = 3. Find m such that 13*m - 9*m - 9 - 10*m + i*m**2 = 0.
-1, 3
Let g = -4031/36 + 112. Let v(b) be the second derivative of -2*b + g*b**4 + 1/90*b**6 + 1/30*b**5 + 0*b**2 + 0 + 0*b**3. Solve v(r) = 0.
-1, 0
Let z(s) = s**2 - 17*s + 3. Let d be z(17). Let a(b) be the second derivative of -1/12*b**d + 7/48*b**4 - 6*b + 0*b**2 + 0. Suppose a(u) = 0. What is u?
0, 2/7
Suppose 0 = -2*u + 1 + 3. Factor 3*a + 2 - a**2 + 4*a**u - a**2 + a.
2*(a + 1)**2
Find y, given that -102/7 - 2/7*y**2 - 40/7*y = 0.
-17, -3
What is z in -98*z**5 - 10*z**2 + 66*z**3 - 268*z**4 - 250*z**4 - 70*z**3 - 138*z**3 = 0?
-5, -1/7, 0
Let g = 26 - 23. Suppose 3*r - r = g*t + 25, -5*t + 45 = r. Factor -8*l + 5*l - 5*l**2 + 14*l + r + 4*l.
-5*(l - 4)*(l + 1)
Let m(g) be the first derivative of -g**5/5 + 9*g**4/4 - 6*g**3 + 177. Suppose m(n) = 0. What is n?
0, 3, 6
Let k be 1/(-2 + ((-84)/(-20) - 2)). Let y(h) be the second derivative of 0 - k*h + h**3 - 3/2*h**2 - 1/4*h**4. Solve y(i) = 0.
1
Let 167*l**2 - 3*l**3 - 111*l**2 - 51*l - 110*l**2 = 0. Calculate l.
-17, -1, 0
Let b = -16/459 - 1/459. Let m = b + 29/54. Find i, given that -m*i + 1/2*i**2 + 1/2*i**3 - 1/2 = 0.
-1, 1
Factor 32/5*f - 4/5*f**2 - 28/5.
-4*(f - 7)*(f - 1)/5
Let t(s) be the third derivative of s**8/336 + s**7/7 - 8*s**6/15 + s**5/30 + 21*s**4/8 - 16*s**3/3 - 130*s**2 + 1. Factor t(j).
(j - 1)**3*(j + 1)*(j + 32)
Let d = -358 - -360. Let q(o) be the first derivative of -2/5*o + 2/5*o**d - 2/15*o**3 + 7. Determine r so that q(r) = 0.
1
Suppose 379 = -2*l + 25. Let i be (-8)/56 + l/(-63). Find t, given that -4/3*t**2 + 4 + i*t = 0.
-1, 3
Let p(a) = a**2 - 61*a - 137. Let r(j) = -3*j**2 + 63*j + 136. Let v(k) = 4*p(k) + 3*r(k). Determine y so that v(y) = 0.
-7, -4
Factor -5*v**4 + 2028*v**2 + 8552*v**2 - 152*v**3 - 308*v**3 + 10*v**4.
5*v**2*(v - 46)**2
Suppose 0 = -d + 2*b - 8, -2*b + 256 = 2*d + 242. Solve 0*i + 2/9*i**d - 2/9 = 0 for i.
-1, 1
Let f(i) = -35*i**2 + 15*i - 15. Let a(k) be the second derivative of -3*k**4/4 + 2*k**3/3 - 2*k**2 - 11*k. Let z(g) = -15*a(g) + 4*f(g). Solve z(c) = 0 for c.
0
Let r be ((0/(-10))/(-7))/(-1 - 1). Let b(h) be the second derivative of -1/2*h**4 + 5*h + r + 1/5*h**5 + 0*h**3 + h**2. Suppose b(x) = 0. Calculate x.
-1/2, 1
Let t be (-1 + 2 - -5) + -2. Find i, given that 15*i**2 + 3*i + 2*i**4 + 2*i - i**3 - 10 - 7*i**4 - t*i**3 = 0.
-2, -1, 1
Suppose -20 = -3*j + 7*j. Let k = -1 - j. Let 7*f**5 + 23*f**k + 164*f**2 + 14*f**3 + 6*f**3 - 160*f**2 = 0. What is f?
-2, -1, -2/7, 0
Let s be 70/245 + 58/(-252). Let g(x) be the second derivative of 0 - 1/6*x**2 - 7*x - s*x**3 + 1/18*x**4. Let g(d) = 0. Calculate d.
-1/2, 1
Let y(r) = r**2 - 18*r + 6. Let s be y(18). Let s*d - 59 + 59 + 2*d**2 = 0. What is d?
-3, 0
Let w(i) = 54*i**2 + 504*i + 900. Let p(u) = 13*u**2 + 124*u + 225. Let t(d) = -21*p(d) + 5*w(d). Factor t(h).
-3*(h + 3)*(h + 25)
Let w = 24533 + -24533. Factor 2*z**2 + 4/3*z - 2/3*z**4 + 0*z**3 + w.
-2*z*(z - 2)*(z + 1)**2/3
Let z = -3 - -8. Let w be 22/6 + z/(45/(-6)). Solve 0*d**w - 2/11*d**4 + 2/11*d**2 + 0*d + 0 = 0.
-1, 0, 1
Let p(f) be the third derivative of -f**5/120 + 83*f**4/12 - 6889*f**3/3 - 9*f**2 + 2*f. Factor p(n).
-(n - 166)**2/2
Let t(c) be the second derivative of 0 + 23*c - 1/42*c**4 - 3/7*c**2 + 4/21*c**3. Let t(f) = 0. What is f?
1, 3
Let s(x) be the third derivative of x**6/24 - 5*x**5/6 + 5*x**4/2 + 60*x**3 + 4*x**2 - 9. Let s(d) = 0. What is d?
-2, 6
Solve -r**2 - 10*r**2 - 42*r + 32*r - r**3 - r**2 - r**3 = 0 for r.
-5, -1, 0
Factor 9/2*h**3 + 0 + 3/4*h**4 + 33/4*h**2 + 9/2*h.
3*h*(h + 1)*(h + 2)*(h + 3)/4
Let u(s) = -19*s + 515. Let c be u(27). Factor 28/3*o + 16/3*o**c + 4.
4*(o + 1)*(4*o + 3)/3
Let s(u) be the third derivative of -1/210*u**5 + 0 + 1/630*u**6 + 4/63*u**3 - 12*u**2 + 1/2205*u**7 - 1/63*u**4 + 0*u. Factor s(l).
2*(l - 1)**2*(l + 2)**2/21
Suppose -5*t + 26 = 3*h, -9*t + 7*t = -5*h + 2. Suppose 0 = 5*a - 13 + 3. Factor -11*i**h - i + 10*i**a + 0*i.
-i*(i + 1)
Suppose 0 = -3*w - 1172 + 389. Let q = 1309/5 + w. Factor -6/5*f**2 + q*f + 2/5*f**3 + 0.
2*f*(f - 2)*(f - 1)/5
Let n be 5*16/(-160)*-4. Solve 2/11*j**n + 8/11 - 10/11*j = 0 for j.
1, 4
Let i(d) be the second derivative of -d**4/4 + 21*d**3/2 + 33*d**2 - 179*d. Factor i(q).
-3*(q - 22)*(q + 1)
Let n(i) be the first derivative of -i**4 + 80*i**3/3 - 256*i**2 + 1024*i + 185. Factor n(y).
-4*(y - 8)**2*(y - 4)
Factor -1/2*s - 1/4*s**2 - 1/4.
-(s + 1)**2/4
Let t(k) be the second derivative of 1/120*k**6 - 22*k + 0*k**2 + 3/16*k**4 + 0 + 1/6*k**3 + 3/40*k**5. Solve t(q) = 0 for q.
-4, -1, 0
Let u be (1 + -3)/((-24)/588). Let v be 84/u + 4/14. Let 12/5*s + 2/5*s**v + 18/5 = 0. What is s?
-3
Suppose p = -h, 7*h + 5*p = 3*h - 3. Let a = -6843/22 - -3438/11. Factor -3/2*u**4 + 3/2*u**2 + 3/2*u**h - a*u + 0.
-3*u*(u - 1)**2*(u + 1)/2
Let l be (1 - 5)*4/(-8). Let y = -59/35 - -16/7. Suppose y*t**l - 3/5 + 3/5*t - 3/5*t**3 = 0. What is t?
-1, 1
Let u(p) be the third derivative of 3*p**7/70 - 11*p**6/10 + 87*p**5/10 - 21*p**4/2 - 49*p**3/2 - 4*p**2 - 2*p. Factor u(m).
3*(m - 7)**2*(m - 1)*(3*m + 1)
Let u(n) be the first derivative of -7/5*n**4 - 1/15*n**6 + 4/5*n - 2 - 9/5*n**2 + 32/15*n**3 + 12/25*n**5. Factor u(t).
-2*(t - 2)*(t - 1)**4/5
Let y(c) be the first derivative of -5/4*c**4 - 5/3*c**3 - 53 + 0*c + c**5 + 0*c**2 + 5/6*c**6. Factor y(z).
5*z**2*(z - 1)*(z + 1)**2
What is k in 16*k**3 - 18*k**2 - 116*k - k**4 - 34 + 17 - k**4 + 65*k**3 - 9*k**5 - 7 = 0?
-3, -1, -2/9, 2
Let i(c) = -130*c**2 + 34*c - 2. Let y(z) = -6 - 599*z**2 + 208*z**2 + 27*z + 76*z. Let v(n) = -7*i(n) + 2*y(n). Factor v(j).
2*(8*j - 1)**2
Let s(i) = 5*i**3 - 23*i**2 - 6*i. Let w(n) = 3*n**3 - 12*n**2 - 3*n. Let x(q) = 6*s(q) - 11*w(q). Solve x(a) = 0 for a.
-1, 0
Determine q, given that 4/5*q**2 - 7/5*q**3 - 2/5*q**4 + 0 + 0*q = 0.
-4, 0, 1/2
Suppose 7*o - 15 + 13 = 26. Let 0*b + 0 + 14/9*b**3 + 4/9*b**2 - 4/9*b**o - 14/9*b**5 = 0. Calculate b.
-1, -2/7, 0, 1
Let m be (-50)/(-18) - (-4 - (-102)/27). Suppose 0*x**3 + 14*x**4 - m*x**3 - 5*x**4 - 8*x**4 + 4*x = 0. What is x?
-1, 0, 2
Factor 8 - 1/2*z**2 + 15/2*z.
-(z - 16)*(z + 1)/2
Let z(u) = 3*u**4 + 45*u**3 + 93*u**2 + 45*u. Let l(f) = 3*f**4 + 47*f**3 + 93*f**2 + 45*f. Let j(k) = -3*l(k) + 2*z(k). Suppose j(v) = 0. Calculate v.
-15, -1, 0
Let f be 4/102*(104/(-16))/(-13). Let h = 91/561 + f. Find t such that -8/11*t - 6/11 - h*t**2 = 0.
-3, -1
Let z(o) = -2*o**3 + 5*o**2 - 3*o + 2. Let u(h) = 12*h**3 - 31*h**2 + 19*h - 13. Let k = 28 + 3. Let r = k - 70. Let y(p) = r*z(p) - 6*u(p). Factor y(f).
3*f*(f - 1)*(2*f - 1)
Let x be 20/8*(-68)/(-10). Suppose 5*m - x = 3. Solve 0 + 2/5*i**5 - 6/5*i**3 + 2*i**2 - 4/5*i - 2/5*i**m = 0 for i.
-2, 0, 1
Let t = -56 + 65. Let q be (27/18)/((t/4)/3). Solve -2 + 2*x + 3/2*x**q = 0 for x.
-2, 2/3
Let s(t) be the first derivative of -5*t**3/18 + 245*t**2/6 - 5. What is a in s(a) = 0?
0, 98
Find c such that -1/2*c**3 + 0 + 3*c**2 + 1/4*c**5 + 9/4*c - c**4 = 0.
-1, 0, 3
Let o be ((-1)/(-2))/(((-315)/(-15))/210). Factor 8 - 4*n**2 + 4*n - 2*n**3 + 1/2*n**4 + 1/4*n**o.
(n - 2)**2*(n + 2)**3/4
Let y(w) be the third derivative of -1/45*w**6 - 1/168*w**8 + 13/315*w**7 + 4*w**2 + 0*w + 0 + 0*w**3 + 0*w**5 + 0*w**4. Determine b, given that y(b) = 0.
0, 1/3, 4
Let f(i) be the first derivative of 7*i**6/2 + 216*i**5/5 + 669*i**4/4 + 114*i**3 - 480*i**2 - 288*i - 751. Determine l, given that f(l) = 0.
-4, -3, -2/7, 1
Let m(q) be the first derivative of -10*q - 6*q**2 - 2/3*q**3 - 44. Let m(h) = 0. What is h?
-5, -1
Let m(d) be the first derivative of d**5/5 - 8*d**4 + 142*d**3/3 - 96*d**2 + 81*d + 338. Factor m(y).
(