4*o = -4, -o = 3*g - 7. Let d be g + (-3)/(-1)*1. Factor -4/5*u**2 + 2/5 + 2/5*u + 2/5*u**d + 2/5*u**4 - 4/5*u**3.
2*(u - 1)**2*(u + 1)**3/5
Let w = -11 - -42. Find z such that z**2 + 31*z - w*z = 0.
0
Let k be 2/(0 - -2) - 1. Suppose -24 = -3*f + 3*u, -5*f - 2*u + 4*u + 28 = k. Factor f*m**2 - 2*m**2 + 0*m**2.
2*m**2
Let b = 8/7 + 3/7. Let q(f) be the first derivative of 4/7*f - b*f**2 + 32/21*f**3 - 1/2*f**4 + 2. Solve q(t) = 0.
2/7, 1
Let y(v) be the first derivative of -1/2*v**2 + 2 + v - 1/20*v**5 + 1/6*v**3 + 1/12*v**4. Let r(d) be the first derivative of y(d). Solve r(k) = 0 for k.
-1, 1
Let a be (-9)/15 + (-39)/(-65). Factor 4/5*s + 2*s**2 + 8/5*s**3 + a + 2/5*s**4.
2*s*(s + 1)**2*(s + 2)/5
Let b = -51 + 51. Let m(t) be the third derivative of 0*t**5 + 0*t**7 - 1/1176*t**8 + 1/210*t**6 - t**2 + 0*t + 0 + b*t**3 - 1/84*t**4. Factor m(r).
-2*r*(r - 1)**2*(r + 1)**2/7
Suppose -4*z - 24 = -4*u, -2*u + 2*z = -3*z - 18. What is y in 2/7*y**u + 0*y - 2/7*y**2 - 2/7*y**3 + 0 + 2/7*y**5 = 0?
-1, 0, 1
Let r(f) be the third derivative of -f**7/8820 - f**6/2520 + f**4/24 - f**2. Let m(d) be the second derivative of r(d). Factor m(k).
-2*k*(k + 1)/7
Let w(t) = 3*t**3 - 8*t**2 - t - 5. Let m(k) = k**3 - 4*k**2 - k - 2. Let r(f) = 15*m(f) - 6*w(f). Factor r(d).
-3*d*(d + 1)*(d + 3)
Let r(u) be the second derivative of -u**5/30 + u**4/18 + u**3/9 - u**2/3 - 14*u. Factor r(a).
-2*(a - 1)**2*(a + 1)/3
Let h be ((-6)/8)/(3/(-12)). Suppose 0 = h*w - w - 4. Solve -13*m**w - m**4 - 3*m**3 - 4 - 3*m**3 - 3*m - 9*m = 0 for m.
-2, -1
Let m(p) be the second derivative of 3*p**5/80 + 5*p**4/16 + p**3 + 3*p**2/2 - 44*p. Factor m(r).
3*(r + 1)*(r + 2)**2/4
Let s(u) be the second derivative of -u**4/6 + u**3/3 - 11*u. Factor s(k).
-2*k*(k - 1)
Let i(j) be the second derivative of -j**6/15 - 2*j**5/5 - j**4/3 + 4*j**3/3 + 3*j**2 + 7*j. Solve i(y) = 0 for y.
-3, -1, 1
Let w(c) = -130*c**3 + 2*c + 1. Let p be w(-1). Let h = p - 642/5. Find i such that h*i**3 + 0*i - 2/5*i**2 + 0 = 0.
0, 2/3
Let z = 326/5 + -65. Let z*p**3 - 1/5*p**2 - 1/5*p + 1/5 = 0. Calculate p.
-1, 1
Let v be (-1)/(-7) + (-52)/(-28). Suppose 0*r + v*r = 6. Factor 1/5*u**2 - 2/5*u**r + 0 + 0*u + 1/5*u**4.
u**2*(u - 1)**2/5
Let f(u) = -u**4 - u**3 - u**2 - u + 1. Let p(w) = -2*w**5 + 4*w**4 + 6*w**3 - 2*w**2. Let n(i) = -4*f(i) - 2*p(i). Factor n(v).
4*(v - 1)**3*(v + 1)**2
Factor 0*z + 111/4*z**3 + 15/2*z**2 + 0 + 21/4*z**4.
3*z**2*(z + 5)*(7*z + 2)/4
Let q be 2/3 + 64/(-240). Let y(t) be the first derivative of -q*t + 1/10*t**4 + 2/15*t**3 - 1/5*t**2 - 4. Solve y(d) = 0 for d.
-1, 1
Let u(p) = p**3 - 12*p**2. Let z(o) = -o**3. Let s(b) = u(b) - 2*z(b). Factor s(j).
3*j**2*(j - 4)
Let -3*z**5 + 27*z**3 - 9*z**4 + 69*z**2 + 50*z - 53*z - 108 - 69*z = 0. Calculate z.
-3, -1, 2
Let f = 147 + -67. Let n be (-24)/f*(-2)/3. Factor -3/5*g**3 + 0 + n*g**4 + 4/5*g + 0*g**2.
g*(g - 2)**2*(g + 1)/5
Let j be 248/14 + 10/35. Let u(x) = -21*x**2 - 23*x - 7. Let c(h) = -5*h**2 - 6*h - 2. Let k(t) = j*c(t) - 4*u(t). Suppose k(y) = 0. What is y?
-2, -2/3
Suppose c = 4*p + 10, -3*c - 2*c - 4*p = -2. Let d(a) be the third derivative of -1/240*a**5 + 0 + 0*a + 0*a**3 + 1/96*a**4 + c*a**2. Factor d(v).
-v*(v - 1)/4
Let c(b) = b + 2. Let w be 0*(6/3)/(-2). Let v be c(w). Factor 1/2*m - 1/2*m**3 + 1/2*m**4 - 1/2*m**v + 0.
m*(m - 1)**2*(m + 1)/2
Factor -10*a**4 + 6*a**3 - a**5 + 3*a**4 + 8*a**4.
-a**3*(a - 3)*(a + 2)
Let b(d) = -d**2 - 10*d - 5. Let s be b(-9). Suppose 5*y + i = -2, -s*y - 2*i - 2 = 2. Factor y*u**2 + 0*u - 7/2*u**4 + 0 - u**3 - 5/2*u**5.
-u**3*(u + 1)*(5*u + 2)/2
Let p(t) be the second derivative of -1/273*t**7 + 0 + 3*t - 2/195*t**6 + 0*t**5 + 1/39*t**4 + 1/39*t**3 + 0*t**2. Find l such that p(l) = 0.
-1, 0, 1
Factor 24/5 + 16/5*g + 2/5*g**2.
2*(g + 2)*(g + 6)/5
Let k(r) be the third derivative of 0 + 0*r - 5/36*r**4 + r**2 - 7/720*r**6 + 1/1260*r**7 + 2/9*r**3 + 1/20*r**5. Factor k(j).
(j - 2)**3*(j - 1)/6
Let i(b) = 155*b**3 - 155*b**2 - 550*b - 375. Let n(h) = 7*h**3 - 7*h**2 - 25*h - 17. Let u(x) = -2*i(x) + 45*n(x). Determine k so that u(k) = 0.
-1, 3
Let p(w) = -w**2 - 11*w - 10. Let y be p(-10). Let l be ((-36)/21 + y)*-2. Factor 0 - 2*k**4 - 4/7*k - 6/7*k**2 + l*k**3.
-2*k*(k - 1)**2*(7*k + 2)/7
Let j be ((-45)/25 - -2)/(3/5). Suppose 0*g + 1/3*g**3 - j*g**2 + 0 - 1/3*g**5 + 1/3*g**4 = 0. Calculate g.
-1, 0, 1
Suppose 2*c - 16 = -2*n, -c + 2*n = 2*c - 4. Let 6*y - 10*y - 2*y**2 - 8*y**4 + 10*y**2 + c*y**5 = 0. What is y?
-1, 0, 1
Let z be (-3414)/(-5805) - (-4)/(-30). Let u = z - 10/43. Factor u*q + 2/9*q**3 - 4/9*q**2 + 0.
2*q*(q - 1)**2/9
Determine z, given that -4/3*z**4 + 0*z + 4/3*z**2 + 0 + 0*z**3 = 0.
-1, 0, 1
Let t(c) be the first derivative of -c**7/63 + 2*c**6/45 + 6*c - 4. Let s(r) be the first derivative of t(r). What is g in s(g) = 0?
0, 2
Let s be -1 + 15/6 + -1. Find u, given that -1/4 - 3/4*u - s*u**2 + 3/4*u**4 + 1/2*u**3 + 1/4*u**5 = 0.
-1, 1
Let y be (4/8*-2)/(-6). Let o(x) be the first derivative of -1 + 2/3*x + 2/3*x**3 + x**2 + y*x**4. Determine a so that o(a) = 0.
-1
Let q = 420 - 4623/11. Let t = 17/22 + q. Suppose -t*a**3 - 1/2 + 1/2*a**2 + 1/2*a = 0. Calculate a.
-1, 1
Let l be (-8)/(-5) + (-4)/(-10). Factor -7*u**2 - 2*u**2 - 2*u + 8*u**2 - u**l.
-2*u*(u + 1)
Let i(b) = 3*b**4 - 6*b**3 + 12*b**2 - 3*b + 3. Suppose 3*q + 4 = -5. Let z(n) = n**3 + n**2 + 1. Let y(k) = q*z(k) + i(k). Suppose y(o) = 0. What is o?
0, 1
Let l(n) be the first derivative of -n**7/210 - n**6/120 + n**2 + 2. Let z(h) be the second derivative of l(h). Suppose z(a) = 0. Calculate a.
-1, 0
Let x(a) be the first derivative of -a**5/60 - 3*a**2/2 + 2. Let o(i) be the second derivative of x(i). Factor o(f).
-f**2
Factor -2/7*g**5 + 6/7*g**3 + 0*g**4 + 0*g + 4/7*g**2 + 0.
-2*g**2*(g - 2)*(g + 1)**2/7
Let y(n) be the first derivative of n**5/30 + n**4/12 - 2*n**3/3 - 3*n**2/2 + 2. Let x(p) be the second derivative of y(p). Let x(s) = 0. Calculate s.
-2, 1
Let r(g) be the second derivative of g**5/90 + g**4/54 + 3*g. Factor r(d).
2*d**2*(d + 1)/9
Let -279*i + 15*i + 484*i**2 + 184 - 148 = 0. What is i?
3/11
Let u(y) = -2*y + 2. Let t be u(-3). Suppose -t = -4*s - 0, 5*f + 3*s = 81. Factor 3*o**2 + 11 + f - 18*o + 1.
3*(o - 3)**2
Suppose 4*p**2 - 33*p**5 - p**2 + 18*p**5 - 3*p**4 + 15*p**3 = 0. Calculate p.
-1, -1/5, 0, 1
Let d(r) = 6*r**5 + 4*r**4 + 2*r**3 - 4*r**2 - 3*r - 5. Let h(w) = 5*w**5 + 4*w**4 + 2*w**3 - 4*w**2 - 3*w - 4. Let t(x) = -4*d(x) + 5*h(x). Factor t(a).
a*(a - 1)*(a + 1)**2*(a + 3)
Let i = -2/17 - -23/51. Let t(y) be the second derivative of 1/12*y**4 - y - i*y**3 + 0 + 1/2*y**2. Let t(q) = 0. Calculate q.
1
Let r(o) = -2*o**3 + 4*o**2 + 4*o + 1. Let y be r(-1). Let j(k) be the second derivative of 3/4*k**2 - 1/16*k**4 + 1/8*k**y + k + 0. Factor j(l).
-3*(l - 2)*(l + 1)/4
Let m(w) be the second derivative of 1/36*w**4 - w + 1/18*w**3 + 0 + 0*w**2. Factor m(q).
q*(q + 1)/3
Let y be -2 + (6/(-20))/((-12)/85). Let z(i) be the second derivative of -y*i**4 + 0 + 0*i**2 - 3/80*i**5 - 1/8*i**3 + 2*i. Determine l so that z(l) = 0.
-1, 0
Suppose 0 = -5*b + 10*b - 10. Let p(y) be the second derivative of 0 + 2*y + 1/45*y**6 - 1/15*y**5 + 0*y**4 + 0*y**b + 0*y**3. Suppose p(g) = 0. What is g?
0, 2
Let t be 3/((-90)/(-7)) + 20/120. Solve 0*v + 0*v**3 + 4/5*v**2 - 2/5*v**4 - t = 0 for v.
-1, 1
Let w(y) be the third derivative of 1/150*y**5 + 0 + 0*y - 1/30*y**4 - 1/5*y**3 + 4*y**2. Suppose w(u) = 0. What is u?
-1, 3
Let o(f) be the second derivative of f**5/240 + f**4/96 - f**3/12 + f**2 + 3*f. Let p(w) be the first derivative of o(w). Determine r so that p(r) = 0.
-2, 1
Let z(c) = 3*c**3 + c**2 - 1. Let q be z(1). Determine v so that -v + 3*v**3 - 5*v**q + 5*v - 2*v = 0.
-1, 0, 1
Let p(r) = -7*r**2 - 4*r - 2. Let m(s) = -10*s**2 - 6*s - 3. Let d(g) = -5*m(g) + 7*p(g). Factor d(q).
(q + 1)**2
Suppose -5*i - 11 = -4*v, -4*i + 3*v - 8 = -v. Let z be 8*-2*1/i. Solve 2/3 + 8*d**2 + z*d**3 + 4*d = 0 for d.
-1/2
Factor 3/4*l**2 - 1 + 0*l + 1/4*l**3.
(l - 1)*(l + 2)**2/4
Let i be (4/3)/(2/3). Suppose -4*s = -3*s - i. Suppose 2*y**3 + y + s*y**4 - y**4 + y**2 + 2*y**2 + y**3 = 0. Calculate y.
-1, 0
Let l be ((-9)/(-12))/(1/(-4)). Let s be l/4*-2*2. Solve 0 - 2/3*v**s + 0*v**2 + 1/3*v**5 + 0*v**4 + 1/3*