+ 2*z.
(z - 1)**4*(2*z - 1)/3
Let d = 0 - -5. Determine c so that 0*c**5 - c**5 - c**d = 0.
0
Let c = 64 - 64. Let 0*g**2 + 2/3*g**3 + 0*g + 0 + c*g**4 - 2/3*g**5 = 0. What is g?
-1, 0, 1
Suppose -2*o + 13 = 2*s + s, 4*o = -4*s + 20. Let y(p) be the second derivative of 1/6*p**2 + 1/36*p**4 + 0 + 1/9*p**s + 2*p. Factor y(w).
(w + 1)**2/3
Let f(w) = -69*w - 276. Let o be f(-4). What is s in -3/7*s**4 - 1/7*s**5 - 1/7*s**3 + 2/7*s + 3/7*s**2 + o = 0?
-2, -1, 0, 1
Factor 9*g - 3*g**3 + 2 - 4 + 8.
-3*(g - 2)*(g + 1)**2
Solve -21*b**3 + 7*b**2 - 5 - 1 + 0*b - b**2 + 21*b = 0.
-1, 2/7, 1
Suppose -2*c + 39 = 3*a, -5*a - 4*c + 54 = -11. Suppose -6*h - 20*h**3 + 2*h**3 - 4*h - a*h**2 - 4 + 45*h**2 = 0. Calculate h.
-2/9, 1
Let p be (-6)/14 + 70/98. Factor 2/7*u**5 + 0*u**2 + 0 + 0*u - 4/7*u**3 - p*u**4.
2*u**3*(u - 2)*(u + 1)/7
Let b = -2 + 6. Factor 4*z**3 + 2*z**4 - b*z + 0*z**2 + 0*z**2 - 2.
2*(z - 1)*(z + 1)**3
Let n(b) be the third derivative of -b**8/120 - 37*b**7/525 - 31*b**6/300 + 19*b**5/50 + 3*b**4/10 + 8*b**2. Solve n(h) = 0 for h.
-3, -2/7, 0, 1
Let m be ((-7)/((-196)/(-16)))/(22/(-77)). Factor 0 - 2/5*h**3 + 0*h - 2/5*h**m.
-2*h**2*(h + 1)/5
Let f(g) be the third derivative of g**6/480 - g**5/240 - g**4/96 + g**3/24 - 6*g**2. Let f(i) = 0. What is i?
-1, 1
Let l(n) = -n**2 + n - 1. Let w(r) = -2*r**2 + 15*r + 8. Let i(p) = -3*l(p) + w(p). Let a be i(-11). Factor a - 2/9*t**2 - 2/9*t.
-2*t*(t + 1)/9
Let k(l) be the first derivative of -1 + 1/2*l**4 + 0*l**2 + 8*l - 2*l**3. Solve k(o) = 0.
-1, 2
Let o(m) be the third derivative of 1/60*m**4 - 1/100*m**5 + 1/600*m**6 + 6*m**2 + 0*m + 0 + 0*m**3. Factor o(z).
z*(z - 2)*(z - 1)/5
Let k(u) = 5*u + 2. Let w be k(-2). Let p = w - -10. Suppose 2/5*r**p + 0 + 2/5*r = 0. Calculate r.
-1, 0
Suppose -3*t = 5*a - 23 - 61, 4*t + 5*a = 117. Let 9*y - 30*y**2 + 32*y**2 + 3 + 46*y**2 - t*y = 0. What is y?
1/4
Suppose 0 = 2*y - 4, 4*y - 7 - 13 = -4*d. Let l(c) be the first derivative of 0*c - 1 + 1/4*c**2 + 1/12*c**d. Suppose l(t) = 0. What is t?
-2, 0
Suppose -5*s = -10*s. Factor 3*g**4 + 2 + s*g - 2*g**4 - 2*g**3 - 3*g**2 + 3*g**3 - g.
(g - 1)**2*(g + 1)*(g + 2)
Determine w so that -2/17*w**4 - 2/17*w**2 + 0*w + 4/17*w**3 + 0 = 0.
0, 1
Let f = 91/150 - -3/50. Solve 1/2*m**3 + 10/3*m**2 - 49/6*m**5 - 35/3*m**4 - f*m + 0 = 0.
-1, 0, 2/7
Let u(p) be the third derivative of p**8/168 + 4*p**7/105 + p**6/20 + 9*p**2. Let u(z) = 0. Calculate z.
-3, -1, 0
Let c(u) be the first derivative of 1/2*u**2 + 3 - 1/120*u**5 + 0*u**4 + 0*u**3 + 0*u. Let h(n) be the second derivative of c(n). Let h(b) = 0. Calculate b.
0
Let j(i) be the first derivative of -i**6/24 - i**5/10 - i**4/16 - 65. Factor j(k).
-k**3*(k + 1)**2/4
Let n be 0 + ((-2)/(-24))/(8/16). Determine v so that -1/3*v**2 + n*v**4 + 1/6 + 0*v + 0*v**3 = 0.
-1, 1
Let q be (32/(-12))/((-2)/6). Suppose 0 = -0*t - t - 3*r - 9, r - q = -4*t. Determine h, given that 2 - h**4 + 0 - h**3 + t*h**2 - 4 + h = 0.
-2, -1, 1
Let b be 1/((3/(-9))/(-1)). Suppose -3*i = -4*z + 6, -b - 5 = -i - 2*z. Factor -13 + 7 + 3*g**2 + 4*g**2 - 4*g**i + 3*g.
3*(g - 1)*(g + 2)
Let a(z) = 4*z - 8. Let o be a(2). Let 1/4*q**3 + 1/2*q**2 + o + 1/4*q = 0. Calculate q.
-1, 0
Let i(b) be the second derivative of 2*b**7/21 + 2*b**6/15 - 3*b**5/5 - b**4/3 + 4*b**3/3 + 28*b. Determine h, given that i(h) = 0.
-2, -1, 0, 1
Let v(y) be the third derivative of -y**8/20160 - y**7/1440 - y**6/480 + y**5/12 - y**2. Let p(q) be the third derivative of v(q). Factor p(b).
-(b + 3)*(2*b + 1)/2
Factor 2/9*y - 2/9*y**2 + 4/3.
-2*(y - 3)*(y + 2)/9
Factor 9/4*h + 3/4*h**2 + 3/2.
3*(h + 1)*(h + 2)/4
Let t(n) be the second derivative of 0 - 1/105*n**6 + 0*n**2 - n + 0*n**4 + 0*n**3 + 1/70*n**5. Factor t(j).
-2*j**3*(j - 1)/7
Let t(a) = 3*a**3 + 53*a**2 - 157*a + 73. Let o(c) = 2*c**3 + 27*c**2 - 78*c + 37. Let u(r) = -7*o(r) + 3*t(r). Factor u(k).
-5*(k - 1)**2*(k + 8)
Let n(m) = -m**3 - m**2 - m - 1. Let b(s) = 3*s**3 - 7*s**2 - 2*s - 2. Let k(r) = b(r) - 2*n(r). Factor k(c).
5*c**2*(c - 1)
Let v(t) be the third derivative of t**5/10 - 7*t**4/8 + t**3 + t**2. Let r(b) = b**2 - 4*b + 1. Let m(h) = 11*r(h) - 2*v(h). Determine x so that m(x) = 0.
-1
Let l(p) be the third derivative of p**6/100 - 11*p**5/150 + 2*p**4/15 + 4*p**3/15 - 9*p**2. What is s in l(s) = 0?
-1/3, 2
Suppose -5*x - 33 + 91 = -4*l, -32 = -4*x - 4*l. Let c = 4 - 0. Factor -x*m**2 + 13*m + 20*m**3 + c - 33*m + 31*m**2 - 25*m**4.
-(m - 1)*(m + 1)*(5*m - 2)**2
Factor 8/11 + 18/11*n + 2/11*n**3 + 12/11*n**2.
2*(n + 1)**2*(n + 4)/11
Let m(p) = 33*p**2 - 57*p + 24. Let u(f) = -f**3 + 1. Let s(i) = -m(i) - 3*u(i). Solve s(r) = 0.
1, 9
Let p be 0 + 35/(-10) + 4. Let i(d) be the second derivative of 0 + 1/10*d**5 + 2*d - d**2 + d**3 - p*d**4. Determine y, given that i(y) = 0.
1
Let u(a) = a**4 - a. Let i(n) = -6*n**4 + 3*n**2 + 3*n. Let v(g) = i(g) + 5*u(g). Factor v(r).
-r*(r - 1)**2*(r + 2)
Suppose -3*v + 8 = -2*v - d, -25 = -3*v + 4*d. Let k(h) be the first derivative of -2/5*h**5 + v*h**2 + 5/2*h**4 - 4*h + 3 - 6*h**3. Factor k(j).
-2*(j - 2)*(j - 1)**3
Let n(h) be the second derivative of -h**8/1176 + h**7/245 - h**6/210 + h**2 - h. Let l(x) be the first derivative of n(x). Find t, given that l(t) = 0.
0, 1, 2
Factor 0*s + 1/4*s**3 + 1/4*s**5 + 0 + 0*s**2 - 1/2*s**4.
s**3*(s - 1)**2/4
Let m(v) be the first derivative of v**5/10 - v**4/16 - 11*v**3/12 - 11*v**2/8 - 3*v/4 + 27. Factor m(s).
(s - 3)*(s + 1)**2*(2*s + 1)/4
Suppose -2*x + 5 = -x. Let d(a) be the second derivative of -1/50*a**x + 0 + 1/15*a**4 - 1/15*a**3 + 0*a**2 + 2*a. Factor d(m).
-2*m*(m - 1)**2/5
Suppose 4 = 4*b + 4*y, 4*y - 3*y + 11 = 3*b. Factor 0*r**2 + 2/3*r**b + 0 - 1/3*r**5 + 0*r**4 - 1/3*r.
-r*(r - 1)**2*(r + 1)**2/3
Let z be (8/20)/(12/610). Let g = -20 + z. Determine h so that 0*h + 0*h**4 - g*h**3 + 0*h**2 + 0 + 1/3*h**5 = 0.
-1, 0, 1
Let q(x) = -2*x**3 + 11*x**2 - 2*x - 13. Let h be q(5). Factor 2/7*d**h + 18/7*d**4 + 8/7*d**5 + 0*d + 0 + 12/7*d**3.
2*d**2*(d + 1)**2*(4*d + 1)/7
Let w(q) be the first derivative of -3 - 2/7*q**4 + 3/7*q**2 - 4/7*q + 0*q**5 + 1/21*q**6 + 4/21*q**3. What is p in w(p) = 0?
-2, -1, 1
Factor -j**4 + 1/4*j**5 + 0 + 0*j + 0*j**2 - 5/4*j**3.
j**3*(j - 5)*(j + 1)/4
Let d(p) = 3*p - 1. Let z be d(3). Let n = z + -5. Factor r**4 + n*r**3 + 0*r**4 - r**2 - 2*r**3 - r.
r*(r - 1)*(r + 1)**2
Let h(f) = -3*f + 3*f - 3*f - 3*f**2. Let t(w) = w**2 + w. Let x(g) = -2*h(g) - 5*t(g). Factor x(r).
r*(r + 1)
Determine c, given that -4/7 - 6/7*c**2 + 2/7*c**4 + 2/7*c**3 - 10/7*c = 0.
-1, 2
Let h(y) be the first derivative of 6*y**5/5 - 23*y**4/4 + 6*y**3 + 6*y**2 - 8*y + 36. Find i such that h(i) = 0.
-2/3, 1/2, 2
Suppose -2*l - d - 9 = -6*d, 0 = -3*l + 4*d - 3. Let s = -1 + l. Suppose 0*v**2 - v**s - 2*v + v**3 + 2*v = 0. What is v?
0, 1
Let b(a) be the second derivative of -a**4/54 + 8*a**3/27 - 16*a**2/9 - 16*a. Suppose b(y) = 0. What is y?
4
Let k(v) be the first derivative of 7*v**4/16 + 3*v**3/4 + v**2/4 + 7. Let k(u) = 0. What is u?
-1, -2/7, 0
Let m(i) be the second derivative of 0*i**2 + 1/1440*i**6 + 0*i**4 + 0 - 1/2*i**3 - 1/480*i**5 - 3*i. Let p(s) be the second derivative of m(s). Factor p(r).
r*(r - 1)/4
Suppose k - 1 = -0*k - 5*y, 12 = -2*k + 4*y. Let t be (-3)/(-15) + k/20. Find s, given that 7/6*s**5 + 5/2*s**3 + 19/6*s**4 + 1/6*s**2 - 1/3*s + t = 0.
-1, 0, 2/7
Let b = -16 + 19. Let j(t) be the second derivative of 0*t**2 + 1/18*t**4 - t + 0 + 0*t**b. Factor j(r).
2*r**2/3
Find j, given that 5/4*j**3 + 1/4*j**4 - 1/4*j**2 - 5/4*j + 0 = 0.
-5, -1, 0, 1
Find f such that 1/3*f**4 + f**3 + 0 + 0*f**2 + 0*f = 0.
-3, 0
Let i be (-3)/8*((-30)/9 + 2). Determine x, given that i + x + 1/2*x**2 = 0.
-1
Suppose 3*x + 6 = 4*t, 9 + 4 = 3*t + 2*x. Suppose -2*q**t + 0*q + 0 - 4/3*q**2 = 0. What is q?
-2/3, 0
Let g = -52 + 56. Let x(j) be the third derivative of -1/105*j**7 + 0 + 1/168*j**8 - 1/3*j**3 + 0*j - j**2 + 1/15*j**5 + 1/12*j**g - 1/30*j**6. Factor x(c).
2*(c - 1)**3*(c + 1)**2
Factor 2*a**3 + 2*a**2 - 6*a**3 - 3*a**4 + 5*a**4.
2*a**2*(a - 1)**2
Factor -3*v**2 + 2*v**2 - 4*v + 13*v**2 + 10*v**4 - 17*v**4 + 9*v**3.
-v*(v - 2)*(v + 1)*(7*v - 2)
Let i(z) = 8*z**3 - 8*z**2 + 4. Let o(c) = 7*c**3 - 7*c**2 - c + 4. Let n(l) = -3*i(l) + 4*o(l). Factor n(h).
4*