= 1/10434 - -10429/52170. Suppose -166/5*g**2 - 121/5*g**4 + 24/5*g + 264/5*g**3 - y = 0. Calculate g.
1/11, 1
Let h(z) = 2*z**2 + 7*z + 3. Let p be h(-3). Suppose j = -p*j + 5. Solve -16*f**2 + 5*f**3 + 9*f**3 + 5*f**4 - 2*f**3 - 16*f + 3*f**4 - 4*f**j = 0.
-1, 0, 2
Let a be -2 - 1 - (-3)/21*129. Let x = -221 + 239. Solve 39/7*h**2 - x*h**3 + a + 27/7*h**4 + 36*h = 0 for h.
-2/3, 3
Let l(z) be the first derivative of -z**7/630 - z**6/45 - 11*z**5/90 - z**4/3 - 32*z**3/3 + 48. Let g(w) be the third derivative of l(w). Factor g(k).
-4*(k + 1)*(k + 2)*(k + 3)/3
Suppose -3*v - 13 = 3*m - 22, 2*v - 3*m - 1 = 0. Solve -3/5*h**v - 9/5 - 12/5*h = 0 for h.
-3, -1
Let m(k) be the first derivative of 55/36*k**4 + 2*k**2 + 28/9*k**3 + 4*k - 5/12*k**5 + 2. Let u(p) be the first derivative of m(p). Factor u(y).
-(y - 3)*(5*y + 2)**2/3
Let s(h) = h**2 - 22*h - 406. Let f be s(34). Factor 6/13*w - 4/13 + 0*w**f - 2/13*w**3.
-2*(w - 1)**2*(w + 2)/13
Let o(r) = -15*r**3 + 12*r**2 + 15*r - 21. Let d = 9 + -2. Suppose 2*b - 1 = d. Let w(m) = -7*m**3 + 6*m**2 + 7*m - 10. Let q(s) = b*o(s) - 9*w(s). Factor q(g).
3*(g - 2)*(g - 1)*(g + 1)
Let p(d) be the first derivative of -17*d**6/12 - 83*d**5/10 - 7*d**4/8 + 359*d**3/6 + 66*d**2 - 18*d - 491. Solve p(k) = 0.
-3, -1, 2/17, 2
Let i(q) be the third derivative of q**6/280 - 3*q**4/14 - 8*q**3/7 + 234*q**2. Let i(r) = 0. What is r?
-2, 4
Let q(n) be the third derivative of -n**6/1620 + n**5/54 - n**4/12 + 3*n**3 + 2*n**2. Let i(b) be the first derivative of q(b). Find r, given that i(r) = 0.
1, 9
Suppose 6/5 + 2*m + 2/5*m**2 - 2/5*m**3 = 0. Calculate m.
-1, 3
Let h(z) = z**2 + 3*z - 4. Let d be h(-4). Suppose 2*f + l - 4 = d, 0*l = -2*f + 3*l + 12. Factor -12*s**4 + 3*s**3 - 10*s**5 - 9*s**5 + 3*s**5 + s**f.
-4*s**3*(s + 1)*(4*s - 1)
Let h(c) = c**4 + c**3 - 2*c**2 + 3*c - 1. Let m(w) = 4*w**4 - 13*w**3 - 41*w**2 + 33*w + 27. Let q(v) = 15*h(v) - 3*m(v). Let q(i) = 0. What is i?
-16, -2, -1, 1
Let m(n) = n + 8. Let q be m(-9). Let v(t) = t + 3. Let k be v(q). Factor -5 + 4 + k*s**2 - 2*s + 1.
2*s*(s - 1)
Suppose -2*l + n + 8 = 0, -n - 725 + 717 = 4*l. Solve 2/7*h**5 + l - 10/7*h**2 - 4/7*h - 6/7*h**3 + 2/7*h**4 = 0.
-1, 0, 2
Let t(c) = -c**2 + 4*c. Let m be t(4). Suppose n + n - 4 = m. Solve -r**2 + 6*r + 9*r**2 + r**n + 4 - 7*r**2 = 0.
-2, -1
Let q(a) = 245*a + 3185. Let h be q(-13). Factor h*c + 0 + 2/7*c**4 + 0*c**2 + 1/7*c**3 + 1/7*c**5.
c**3*(c + 1)**2/7
Let i(b) be the third derivative of b**6/90 + 34*b**5/45 + 65*b**4/18 + 64*b**3/9 + 2*b**2 - 8*b. Suppose i(k) = 0. Calculate k.
-32, -1
Let m(c) = -6*c**3 - 100*c**2 - 1246*c - 8. Let a(d) = -13*d**3 - 200*d**2 - 2491*d - 18. Let x(v) = -4*a(v) + 9*m(v). Determine n, given that x(n) = 0.
-25, 0
Let 32/3*l + 8/3*l**5 - 52/3*l**4 + 0 - 112/3*l**2 + 40*l**3 = 0. What is l?
0, 1/2, 2
Let n(q) be the first derivative of -2/21*q**3 - 8/7*q - 4/7*q**2 + 2. Solve n(c) = 0 for c.
-2
Let d = -948 - -951. Let t(g) = -g**3 - 4*g**2 + 4*g - 5. Let u be t(-5). Factor 9/2*v**2 - 6 - 3/2*v**d + u*v.
-3*(v - 2)**2*(v + 1)/2
Let -3/5*p**2 + 35 + 9*p - 1/5*p**3 = 0. What is p?
-5, 7
Solve -7/3*t**3 + 0*t + 0 - 4/3*t**4 - t**2 = 0 for t.
-1, -3/4, 0
Determine h, given that 3/5*h**4 + 66/5*h**2 + 27/5 + 24/5*h**3 + 72/5*h = 0.
-3, -1
Let m(c) be the first derivative of 3*c**5/5 + 9*c**4/4 + c**3 - 9*c**2/2 - 6*c - 14. Factor m(z).
3*(z - 1)*(z + 1)**2*(z + 2)
Factor -117 - 3*w**3 + 9*w + 238 - 127.
-3*(w - 1)**2*(w + 2)
Let g be (-13 - 1548/(-120))*-18. Factor -3/5*m**4 + g*m**3 + 3*m**2 + 6/5*m + 0 - 3/5*m**5.
-3*m*(m - 2)*(m + 1)**3/5
Let g(c) be the first derivative of 3*c**4/4 - 4*c**3 - 57*c**2/2 - 42*c - 147. Factor g(x).
3*(x - 7)*(x + 1)*(x + 2)
Let k = 57 + -60. Let a(f) = f**4 - f**3 + f**2 - f. Let o(n) = -3*n**5 + 6*n**4 + 6*n**3 - 12*n**2 + 3*n. Let s(b) = k*a(b) + o(b). Find i such that s(i) = 0.
-2, 0, 1
Let c(x) = -x**5 - x**3 + x**2 - x - 1. Let q(o) = -4*o**5 - 7*o**4 - 18*o**3 - 10*o**2 - 7*o - 3. Let z(j) = 6*c(j) - 2*q(j). Let z(k) = 0. Calculate k.
-4, -1, 0
Suppose -3*o = -9, 34 = 3*w - 5*o + 49. Let p(x) be the first derivative of 0*x**4 + w*x - 1/4*x**3 + 0*x**2 + 3/20*x**5 - 3. Suppose p(f) = 0. What is f?
-1, 0, 1
Factor -1 - 12*t**3 - t**4 - 1 - 8*t**2 + 0 + 17*t**3 - t**2 + 7*t.
-(t - 2)*(t - 1)**3
Let b(v) = 4*v - 5. Suppose -4*q + 19*q - 30 = 0. Let y be b(q). Factor -1/3*f**y + 0 + 1/6*f**4 + 0*f + 1/6*f**2.
f**2*(f - 1)**2/6
Suppose 120 = 15*y - 3*y. Factor -15*j**3 + 2*j + 10*j**4 + 16*j**2 + y*j**4 - 23*j**3.
2*j*(j - 1)**2*(10*j + 1)
Let t(u) = 3*u**2 - u. Let j be t(1). Suppose 0 = -m - 4*k - 15, j*k + 37 = 4*m + 7. Suppose -d - 3*d + m*d**2 - 5*d**2 + 2*d**2 = 0. What is d?
0, 2
Let n be ((-821)/(4/(-4)))/1. Suppose -m**4 + m**2 + n*m - 821*m = 0. What is m?
-1, 0, 1
Let g(l) be the second derivative of l**6/30 + l**5/20 - 34*l. Let o(n) = 9*n**4 - 12*n**2 - 3*n. Let u(p) = 3*g(p) + o(p). Solve u(a) = 0 for a.
-1, -1/4, 0, 1
Suppose -19*c - 22*c - 45 = -209. Factor -16/3*q**3 - 10/3*q**c + 0 + 0*q - 8/3*q**2 - 2/3*q**5.
-2*q**2*(q + 1)*(q + 2)**2/3
Let r(z) be the second derivative of 2/15*z**6 + 0*z**2 + 56*z + 1/21*z**7 + 0*z**3 - 1/10*z**5 + 0 - 1/3*z**4. Factor r(s).
2*s**2*(s - 1)*(s + 1)*(s + 2)
Let h be ((-23)/(-7) + -3)/(2/28). Let o(f) = -3*f**3 + 22*f + 11. Let x(l) = -l**3 + 8*l + 4. Let g(u) = h*o(u) - 11*x(u). Solve g(y) = 0.
0
Factor -334*z**2 + z**5 + 328*z**2 + 0*z**5 - 7*z**3.
z**2*(z - 3)*(z + 1)*(z + 2)
Let b(s) be the second derivative of -s**6/15 + 17*s**5/10 - 18*s**4 + 304*s**3/3 - 320*s**2 - 42*s. Factor b(w).
-2*(w - 5)*(w - 4)**3
Let p = -2473 - -2477. Factor -4/5*u**p + 2/5*u**2 + 2/5 + 1/5*u**5 - u + 4/5*u**3.
(u - 2)*(u - 1)**3*(u + 1)/5
Determine m, given that -8/7*m**2 + 24/7*m - 2/7*m**3 + 0 = 0.
-6, 0, 2
Let t = 9 - 7. Suppose 0*c + 2*c - 12 = 4*y, 0 = t*c - 2*y - 8. Factor -4/3*v - 2/3*v**2 + c.
-2*(v - 1)*(v + 3)/3
Let u(r) = 9*r + 22. Let t be u(-2). Let y(x) be the second derivative of 1/35*x**5 + 5/147*x**7 + 0*x**4 - 1/15*x**6 + 0 + t*x + 0*x**3 + 0*x**2. Factor y(o).
2*o**3*(o - 1)*(5*o - 2)/7
Let f be (2 - 2 - 0)*-1. Suppose -4*b - 5*u - 7 = f, 3*b + 4*u - u = -3. Find m such that -4*m**4 + 6 - 4*m**3 + 98*m**2 + 10 - 44*m - 62*m**b = 0.
-4, 1
Let w = 9 + -1. Suppose g - y + 12 = 6*g, 5*y = g + w. What is d in -3 - 9*d**g + 6*d**2 - d + 7*d = 0?
1
Let i = -16 + 16. Suppose f = -4, -2*m - 3*f - 4 + 0 = i. Factor m*q - 5 + 1 + 3 + 2*q**2 - 5.
2*(q - 1)*(q + 3)
Let a(l) be the third derivative of -l**9/1512 - l**8/448 + l**6/144 - l**4/24 - 16*l**2. Let u(j) be the second derivative of a(j). Factor u(h).
-5*h*(h + 1)**2*(2*h - 1)
Solve -1 - 667*r**2 + 670*r**2 + 3*r - 5 = 0.
-2, 1
Let z(i) be the first derivative of -2*i**6/3 - 12*i**5/5 + 17*i**4 - 12*i**3 - 32*i**2 + 48*i + 487. Determine h so that z(h) = 0.
-6, -1, 1, 2
Let f(y) be the first derivative of 2*y**6/15 + y**5/5 - y**4/3 - 2*y**3/3 + 7*y - 51. Let g(x) be the first derivative of f(x). Suppose g(w) = 0. Calculate w.
-1, 0, 1
Let q(t) be the second derivative of 16*t**7/21 + 184*t**6/15 - 311*t**5/10 + 19*t**4/6 + 79*t**3/3 + 13*t**2 - 7*t - 8. Find p such that q(p) = 0.
-13, -1/4, 1
Let k(l) be the third derivative of -l**9/3780 + l**8/840 - l**7/630 - 13*l**4/24 - 5*l**2. Let v(n) be the second derivative of k(n). Factor v(u).
-4*u**2*(u - 1)**2
Solve -6*s**4 - 180 - 9*s**3 + 180 + 6*s**2 = 0 for s.
-2, 0, 1/2
Let z(p) be the third derivative of -p**9/90720 + p**8/30240 + p**7/7560 - p**6/1080 - p**5/10 - 4*p**2. Let r(y) be the third derivative of z(y). Factor r(d).
-2*(d - 1)**2*(d + 1)/3
Suppose -33 - 3*p**2 + 73 - 3*p - 34 = 0. Calculate p.
-2, 1
Let j(w) be the second derivative of w**5/4 - w**4/2 + w**2/2 - w - 2. Let k(b) = 5*b**3 + 2*b**3 - 4*b**3 - 3*b**2. Let q(u) = -4*j(u) + 7*k(u). Factor q(n).
(n - 1)*(n + 2)**2
Let m be -2 - -1 - (-26)/18. Let r be (-44)/198 - 40/(-18). Find b, given that 2/9*b**r + 2/9*b - m = 0.
-2, 1
Let c = 35 + -27. Suppose c = -q + 2*f, 3*q = 5*f - 22 + 2. Find p such that 0 - 3/5*p**4 + 3/5*p**3 + q*p + 0*p**2 = 0.
0, 1
Solve 2*t**3 + 135*t**2 + 205*t**2 - 217*t**2 - 1320*t + 1200 - 5*t**3 = 0.
1, 20
Let y(h) be the first derivative of -h**4/6 + h**2 + 4*h/3 + 86. Find n such that y(n) = 0.
-1, 2
Let