culate y.
-114, 2/7
Let a = 2207/298 + 14/149. Factor a*y**2 + 25/2*y**3 - 9/2*y + 1/2.
(y + 1)*(5*y - 1)**2/2
Suppose -8 + 1/2*l**2 + 8*l - 1/2*l**3 = 0. What is l?
-4, 1, 4
Let d(a) be the second derivative of -1/45*a**5 + 0 + 0*a**4 + 1/60*a**6 - 7*a + 2*a**2 + 0*a**3. Let b(p) be the first derivative of d(p). Factor b(c).
2*c**2*(3*c - 2)/3
Let a be 18 - -1 - 3/1. Suppose -b - 4*y = -18, a = 2*b + 2*y + 4. Factor 7/5*q**b - 2/5 + q.
(q + 1)*(7*q - 2)/5
Suppose -3*c + 4*c - 4 = 0. Suppose c*q = 2*q - 3*a + 17, -3*q = -a - 9. Let 2/3*l**q + 2/3*l - 4/3*l**2 + 2/3 - 4/3*l**3 + 2/3*l**5 = 0. What is l?
-1, 1
Let n be (2 + 581/(-294))/2. Let g(a) be the second derivative of 0 + 0*a**2 + n*a**7 + 0*a**5 - 1/12*a**3 - a + 1/12*a**4 - 1/30*a**6. Factor g(i).
i*(i - 1)**3*(i + 1)/2
Suppose -11*v + 4*v + 91 = 0. Suppose v*q + 8 = 17*q. Factor 4/9 - 2/3*a**q + 2/9*a**3 - 2/9*a + 2/9*a**4.
2*(a - 1)**2*(a + 1)*(a + 2)/9
Let a(s) be the first derivative of s**4/6 - 220*s**3/9 - 127. Factor a(g).
2*g**2*(g - 110)/3
Let d be (15/18 + 4/(-6))*2. Factor 1/3*b - 1/3*b**2 - d*b**3 + 1/3*b**4 + 0.
b*(b - 1)**2*(b + 1)/3
Let p(w) be the second derivative of 4*w**7/63 - 43*w**6/45 + 5*w**5/6 + 53*w**4/18 - 29*w**3/9 - 10*w**2/3 + 306*w. What is d in p(d) = 0?
-1, -1/4, 1, 10
Let m = 8655 - 60583/7. Factor -8/7 - m*y**2 - 8/7*y.
-2*(y + 2)**2/7
Let t(r) = -28*r**2 + 370*r - 96. Let j(h) = -h**2 + 2*h + 2. Let w(k) = -36*j(k) + 2*t(k). Solve w(z) = 0 for z.
2/5, 33
Let x be (-333)/74*12/(-27). Factor -2*z + 3 + 1/3*z**x.
(z - 3)**2/3
Let s(m) = -5*m**4 + 40*m**3 + 80*m**2 - 190*m + 90. Let h(r) = -3*r**4 + 18*r**3 + 40*r**2 - 94*r + 45. Let p(o) = -5*h(o) + 2*s(o). Let p(y) = 0. What is y?
-3, 1, 3
Let h(u) be the first derivative of u**7/210 - u**6/90 - u**5/15 + 11*u**3 + 19. Let n(k) be the third derivative of h(k). Factor n(p).
4*p*(p - 2)*(p + 1)
Suppose 5*x = 3*p + 37, -2*x + 4*p - 8*p - 6 = 0. Suppose -12 + 2*h**2 - 2*h + 3*h - 16*h - x*h**2 = 0. What is h?
-4, -1
Suppose -20*y = 4*p - 24*y - 12, 2*p + y - 3 = 0. Let l be -2 - -2 - 12/(-14). Find j such that 10/7*j - 6/7*j**p + l - 10/7*j**3 = 0.
-1, -3/5, 1
Let t be 0/((-2)/12 - (-40)/(-48)). Let 0*m**2 + 0*m - 1/2*m**4 + m**3 + t = 0. Calculate m.
0, 2
Let t(b) be the third derivative of b**8/2352 - b**7/294 + b**6/280 + 13*b**5/420 - b**4/21 - 2*b**3/7 - 150*b**2. Let t(w) = 0. What is w?
-1, 2, 3
Let b(n) be the first derivative of n**6/15 + 6*n**5/25 - n**4 + 4*n**3/15 + 9*n**2/5 - 2*n - 226. Factor b(l).
2*(l - 1)**3*(l + 1)*(l + 5)/5
Let q(g) = -35*g**4 - 325*g**3 - 565*g**2 - 420*g - 120. Let a(c) = 3*c**4 + 27*c**3 + 47*c**2 + 35*c + 10. Let k(z) = -25*a(z) - 2*q(z). Factor k(p).
-5*(p + 1)**3*(p + 2)
Suppose -16*o**3 - 3/2*o**4 - 30*o**2 + 1/2*o**5 - 16*o + 0 = 0. What is o?
-2, -1, 0, 8
Determine x so that 3/2*x**4 - 2*x - 1/2*x**5 - 3/2*x**2 + 5/2*x**3 + 0 = 0.
-1, 0, 1, 4
Suppose -20 = -2*f - 0*f. Let n = f - 6. Factor -26*m**2 + 24*m**2 - 4*m + n*m + 2*m**4.
2*m**2*(m - 1)*(m + 1)
Let g(c) be the second derivative of -c**4/3 + 92*c**3/3 + 192*c**2 + 420*c. Factor g(v).
-4*(v - 48)*(v + 2)
Let v(s) be the third derivative of -s**8/504 - 4*s**7/15 + 19*s**6/20 - 43*s**5/45 + 528*s**2. Let v(j) = 0. What is j?
-86, 0, 1
Factor -4/7*m**3 + 2/21*m**4 - 20/21*m + 8/7*m**2 + 2/7.
2*(m - 3)*(m - 1)**3/21
Let y(r) be the first derivative of 0*r - 4 + 7/2*r**2 + 1/3*r**3 - 1/8*r**4 + 1/60*r**5. Let c(v) be the second derivative of y(v). Find m such that c(m) = 0.
1, 2
Let j = 5223 + -26114/5. Suppose j*q**2 + 3/5*q**3 + 4/5 - 8/5*q = 0. Calculate q.
-2, 2/3, 1
Let x be (3 - 592/240)/(1/10). Suppose 0 + x*b**2 - 7*b**3 + 3*b**4 - 4/3*b = 0. Calculate b.
0, 2/3, 1
Let z(h) be the second derivative of -h**4/4 - 103*h**3/2 + 35*h. Factor z(f).
-3*f*(f + 103)
Let j(k) = -k**3 - 46*k**2 + 6*k. Let g(n) = 2*n**3 + 47*n**2 - 9*n. Let h(d) = 4*g(d) + 6*j(d). Factor h(a).
2*a**2*(a - 44)
Let i(g) be the first derivative of g**5/5 - 11*g**4/16 + 3*g**3/4 - g**2/8 - g/4 + 34. Factor i(y).
(y - 1)**3*(4*y + 1)/4
Let j(k) be the first derivative of -k + 3/7*k**2 + 3 + 4/21*k**3 + 1/42*k**4. Let d(x) be the first derivative of j(x). Factor d(p).
2*(p + 1)*(p + 3)/7
Let w be ((-12)/10 - -1)*(7 - 11). Let g(z) be the second derivative of 0*z**3 - 5/14*z**7 + 3*z + 0*z**2 + w*z**6 - 1/2*z**4 + 0 - 3/20*z**5. Factor g(h).
-3*h**2*(h - 1)**2*(5*h + 2)
Let j(d) be the third derivative of -d**6/24 + 7*d**5/6 - 125*d**4/24 + 10*d**3 - d**2 - 5*d. Let j(l) = 0. Calculate l.
1, 12
Suppose 2*c - 15 = -c. Determine v, given that 7*v**2 + 3*v**2 - 5*v**5 + 15*v**3 + 0*v**c = 0.
-1, 0, 2
Let s be 3/2 - 172/(-8). Suppose -n - 5*g + s = n, -4*g + 28 = 4*n. What is b in -12/11*b**2 - 2/11*b**n - 8/11*b**3 - 8/11*b - 2/11 = 0?
-1
Let b(d) be the first derivative of 18*d**5/5 - 8*d**4 - 80*d**3/3 + 64*d**2 + 32*d - 79. Factor b(x).
2*(x - 2)**2*(x + 2)*(9*x + 2)
Let k = 4176/7 + -596. Find s, given that 0 + 0*s + 8/7*s**3 + k*s**4 + 4/7*s**2 = 0.
-1, 0
Let f(v) be the second derivative of -5*v**9/1512 + v**8/336 + v**7/84 - v**6/72 - 23*v**3/6 + 2*v. Let r(l) be the second derivative of f(l). Solve r(y) = 0.
-1, 0, 1/2, 1
Let w(z) = -8*z**4 - 16*z**3 + 32*z**2 + 75*z - 11. Let u(t) = 2*t**4 + 4*t**3 - 8*t**2 - 19*t + 3. Let l(k) = -22*u(k) - 6*w(k). Factor l(g).
4*g*(g - 2)*(g + 2)**2
Suppose 3*i = 4*i - 2. Let g be ((-12)/105)/(2/(-120)*i). Determine w so that 128/7 + 2/7*w**3 + g*w**2 + 96/7*w = 0.
-4
Let x(r) be the second derivative of 28/3*r**3 + 19/3*r**4 + 0 + 1/21*r**7 + 8/15*r**6 + 5/2*r**5 + 8*r**2 + 22*r. Factor x(b).
2*(b + 1)**2*(b + 2)**3
Let q(x) be the second derivative of -11*x**6/30 + x**5/10 + 11*x**4/4 - 14*x**3/3 + 2*x**2 - 166*x. Determine k, given that q(k) = 0.
-2, 2/11, 1
Let h = 536/111 - 80/37. Suppose -3*i + i = 0. Determine b so that -h*b + 20/3*b**4 - 4/3*b**5 + i + 28/3*b**2 - 12*b**3 = 0.
0, 1, 2
Suppose 0*m = -4*m + m. Let p(v) be the second derivative of 1/36*v**4 + 0*v**2 + 1/60*v**5 + 0 + 5*v + m*v**3. Let p(d) = 0. Calculate d.
-1, 0
Let a(j) = j**3 + 7*j**2 + 6*j + 4. Let y be a(-6). Find p such that -55*p**3 + 14*p + 60*p**2 + 25*p**4 - 10*p**y - 34*p = 0.
0, 2/3, 1, 2
Let q be ((-6)/6 - 3)*2/(-4). Let -y**4 - 3*y**q - 3*y**5 - 8*y**4 - 12*y**2 + 27*y**3 = 0. Calculate y.
-5, 0, 1
Let k be 0/3 + 4/(60 - 4). Let q(i) be the first derivative of -1 - k*i**2 + 1/21*i**3 - 2/7*i. Solve q(b) = 0 for b.
-1, 2
Let c be -6 - (-4 - 10/16*4). Factor c + 1/2*u**2 + u.
(u + 1)**2/2
Let c(m) = m**2 + 5*m - 6. Let h be c(-6). Let q(n) = n**2 - n - 2970. Let z be q(-54). Let 0*b**3 + z*b + 2/9*b**4 - 2/9*b**2 + h = 0. What is b?
-1, 0, 1
Let z(q) be the third derivative of 5*q**2 + 2/3*q**3 + 0*q - 1/12*q**4 - 1/30*q**5 + 0. Factor z(f).
-2*(f - 1)*(f + 2)
Let x = 3684967/240 - 15354. Let o(r) be the third derivative of -2*r**2 + 1/24*r**6 + x*r**5 + 0 - 11/96*r**4 + 0*r + 1/12*r**3. Factor o(f).
(f + 1)*(4*f - 1)*(5*f - 2)/4
Factor -2*r**4 - 30*r**5 - 31*r**5 + r**3 + 62*r**5.
r**3*(r - 1)**2
Let h(y) = 23*y**2 + 12*y - 11. Let q(a) = -8*a**2 - 4*a + 4. Let r be 7 - (12/2 + -3). Let p be (r - 2)*(-15)/5. Let z(t) = p*h(t) - 17*q(t). Solve z(x) = 0.
-1
Let r(o) be the third derivative of -1/60*o**6 + 19*o**2 - o**3 + 0 + 0*o + 5/12*o**4 - 1/30*o**5. Factor r(l).
-2*(l - 1)**2*(l + 3)
Suppose 1/2*h**4 + 0*h + 3/4*h**3 + 1/4*h**2 + 0 = 0. Calculate h.
-1, -1/2, 0
Let v(h) be the third derivative of 7*h**2 + 0*h**4 - 3/2*h**3 - 1/200*h**5 + 0 + 0*h - 1/600*h**6. Let u(w) be the first derivative of v(w). Factor u(r).
-3*r*(r + 1)/5
Let o(r) be the second derivative of -r**5/70 - 8*r**4/21 - 20*r**3/21 + 400*r**2/7 + 10*r. Solve o(j) = 0 for j.
-10, 4
Suppose -5*d = -n - 46, 0*d = -d - 2*n + 7. Suppose 0*p - d = -3*p. Factor 3*u**3 + 3*u**5 - 6*u**4 + 6*u**p - 6*u**3.
3*u**3*(u - 1)**2
Let j(p) be the first derivative of -5*p**6/6 + 5*p**5 + 35*p**4/2 + 10*p**3/3 - 65*p**2/2 - 35*p - 33. Find u, given that j(u) = 0.
-1, 1, 7
Let i(b) = -7*b**4 - b**3 - 9*b**2 + 5. Let x = 6 + -3. Let v(n) = -4*n**4 - 5*n**2 + 3. Let a = -64 - -59. Let c(z) = a*v(z) + x*i(z). What is d in c(d) = 0?
-2, -1, 0
Let y = 35 + -33. Find g such that -g**3 - 5 - 10 + 2*g**y + g + 13 + 0*g = 0.
-1, 1, 2
Let x(l) be the second derivative of