**2 + 0*u**3 + i + 2/5*u**4.
2*u**2*(u - 1)*(u + 1)/5
Let n be (1 - -1)*(385/(-66))/(-35). Determine o, given that -1/3*o**2 + 0 + n*o = 0.
0, 1
Let t be 14 + -11 - ((-4)/(-6) + 2). Factor -4/3*f + 8/3 + t*f**3 + 4/3*f**4 + 1/3*f**5 - 10/3*f**2.
(f - 1)**2*(f + 2)**3/3
Factor 0*k + 2/3*k**3 + 0 + 0*k**2.
2*k**3/3
Let i(k) = 3*k - 1. Let x be i(1). Suppose 3*a - n = 8, -3*a - 2*a = n. Suppose -2*s**x - 2 - 4*s + 1 - a = 0. What is s?
-1
Let g(t) be the second derivative of t + 0 - 1/14*t**7 - 11/40*t**6 + 1/8*t**3 + 0*t**2 - 27/80*t**5 - 1/16*t**4. Let g(u) = 0. What is u?
-1, 0, 1/4
Let r(w) be the third derivative of -w**7/45 - w**6/48 + 13*w**5/180 + 5*w**4/48 + w**3/18 + 10*w**2. Find h, given that r(h) = 0.
-1, -2/7, -1/4, 1
Factor -7*y + y**2 + 1 - 1 - 2 - 6.
(y - 8)*(y + 1)
Determine l so that -12 + 16*l + 104*l**3 - 4 + 20*l**2 - 116*l**3 = 0.
-1, 2/3, 2
Let b(p) be the second derivative of -p**7/126 - p**6/90 + 3*p**5/20 - 11*p**4/36 + 2*p**3/9 - 48*p. Factor b(a).
-a*(a - 1)**3*(a + 4)/3
Factor 3*l - 5 - 3*l**3 - 3 + 9*l**2 - 1 + 0*l**3.
-3*(l - 3)*(l - 1)*(l + 1)
Let b(g) be the first derivative of -g**5/10 + g**4/3 + g**3/3 - 2*g**2 - 2*g + 1. Let t(q) be the first derivative of b(q). Factor t(j).
-2*(j - 2)*(j - 1)*(j + 1)
Suppose -6 = -f - 2*f. Solve -2*p**f + 9*p**2 - 3*p + 6*p - p**2 + 3*p**3 = 0 for p.
-1, 0
Let x(p) be the first derivative of -2*p**5/35 - 5*p**4/7 - 16*p**3/7 + 10*p**2/7 + 50*p/7 - 21. Let x(k) = 0. What is k?
-5, -1, 1
Let k be (-5)/(-20) - 4/16. Determine f, given that -2/9*f - 2/9*f**3 + k + 4/9*f**2 = 0.
0, 1
Let m(n) be the second derivative of n**6/25 - n**5/25 - n**4/30 + 7*n. Factor m(o).
2*o**2*(o - 1)*(3*o + 1)/5
Let i = 32 + -29. Let h(c) be the second derivative of 0 + 0*c**2 - 2*c - 1/60*c**4 + 1/30*c**i. Factor h(g).
-g*(g - 1)/5
Let m(c) = 65*c**4 - 90*c**3 + 25*c**2 - 40. Let g(a) = 5*a**4 - 7*a**3 + 2*a**2 - 3. Let t(d) = -40*g(d) + 3*m(d). Let t(p) = 0. Calculate p.
0, 1
Factor 1/4 + 15/4*u**4 - 15/8*u + 5*u**2 - 25/4*u**3 - 7/8*u**5.
-(u - 1)**4*(7*u - 2)/8
Let c = 5 - -2. Let w be c + -2 + 4/(-2). Suppose -u**3 + 3*u**2 + u - 2*u**w + u**4 - 2*u = 0. Calculate u.
0, 1
Let i(p) be the first derivative of p**4/2 + 2*p**3/3 - 8*p**2 - 24*p - 27. Solve i(w) = 0.
-2, 3
Let n(i) be the third derivative of -i**7/168 - i**6/96 - i**2. Factor n(l).
-5*l**3*(l + 1)/4
Let w(p) = -2*p**2 - p + 1. Let m(q) = q - q**3 - 2 + 3*q**2 - 2*q**2 + 1. Let j(l) = m(l) + w(l). Determine n, given that j(n) = 0.
-1, 0
Suppose -8*n + 4*n - 4*w = 0, -3*n = 4*w. Suppose -24/7*v**5 + 0*v**3 - 2/7*v**2 + 26/7*v**4 + n*v + 0 = 0. Calculate v.
-1/4, 0, 1/3, 1
Let h = 16/33 + 2/11. Let m(y) = y**3 + 9*y**2 - 11*y - 8. Let v be m(-10). Find d, given that -4/9*d**v + 0 - h*d**3 + 2/9*d = 0.
-1, 0, 1/3
Let f(a) = a**2 + a + 4. Let t(i) = i**2 + i + 1. Let h(k) = 2*f(k) - 4*t(k). Find b, given that h(b) = 0.
-2, 1
Let n(h) be the first derivative of 3*h**5/20 - h**4/2 + h**3/2 + 4*h - 4. Let d(f) be the first derivative of n(f). Suppose d(r) = 0. What is r?
0, 1
Let u**2 - 73 + 3*u**3 - 4*u + u**3 + 65 + 11*u**2 - 4*u**4 = 0. What is u?
-1, 1, 2
Suppose -3*k = 4*h - 6, -h - 5*k = 3*h - 2. Determine g so that 9*g + h*g**2 - 28 + 28 = 0.
-3, 0
Let o(m) be the third derivative of m**5/20 - m**4/4 + 10*m**2. Let o(x) = 0. Calculate x.
0, 2
Suppose 5*p = 61 - 46. Let v(u) be the third derivative of 1/6*u**4 + 1/30*u**5 + 0 - 1/30*u**6 - 3*u**2 + 0*u - 1/3*u**p. Factor v(q).
-2*(q - 1)*(q + 1)*(2*q - 1)
Factor 2/5 + 1/2*u**2 - 1/10*u**3 - 4/5*u.
-(u - 2)**2*(u - 1)/10
Let f(t) be the first derivative of -2/39*t**3 + 0*t - 1/13*t**2 + 5. Suppose f(s) = 0. What is s?
-1, 0
Let b = -4 + 6. What is m in -20*m**2 - 3*m**5 + 21*m + 9*m**4 + 13*m**2 - 17*m**b - 3*m**4 + 6*m**3 - 6 = 0?
-2, 1
Let m(s) be the third derivative of 0*s - 4*s**2 - 1/420*s**5 + 0*s**3 + 1/168*s**4 + 0. Find i, given that m(i) = 0.
0, 1
Find g, given that 5*g**3 + 160*g**2 - 4*g**5 - 11*g**4 - 29*g**3 - 100*g - 21*g**4 = 0.
-5, 0, 1
Let m be (-2 - 170/(-75))*6. Factor 0 + m*k**4 - 2/5*k**5 + 8/5*k**2 - 2/5*k - 12/5*k**3.
-2*k*(k - 1)**4/5
Let d(u) = -u**2. Let n(z) = 3*z**2. Let a(c) = 4*d(c) + n(c). Find y such that a(y) = 0.
0
Let h(s) be the second derivative of s**10/75600 - s**9/12600 + s**8/8400 - s**4/3 - 4*s. Let v(b) be the third derivative of h(b). Factor v(g).
2*g**3*(g - 2)*(g - 1)/5
Suppose j + 4 = -d, j + 9 - 3 = -3*d. Let t be (-1 + d - -1)/(-5). Let 0*u**3 + 0*u**2 + 0*u + t*u**4 + 0 = 0. What is u?
0
Suppose 0 + 14 = 7*b. Factor 0*w - 2/3*w**b + 0.
-2*w**2/3
Let s = 4 - 7. Let i(c) = -3*c**3 - c**4 + 5*c**3 - 6*c**5 + 4*c**3 - 3*c**3. Let t(j) = 6*j**5 + 2*j**4 - 2*j**3. Let a(p) = s*t(p) - 2*i(p). Factor a(q).
-2*q**4*(3*q + 2)
Let j be ((-6)/4)/(-3*2/12). Let q(v) be the third derivative of -j*v**2 + 0*v**3 - 1/12*v**4 + 0*v**5 + 0 + 0*v + 1/60*v**6. Determine l so that q(l) = 0.
-1, 0, 1
Let b = -281630/33 - -8535. Let l = b + -1/11. Find r, given that 2/3*r - l*r**2 + 4/3 = 0.
-1, 2
Suppose 5*j + 13 = 3. Let m be 12/j*2/(-3). Let -2*r**4 - m*r**5 + 0*r**5 + 2*r**5 + 0*r**4 = 0. What is r?
-1, 0
Let x(y) be the second derivative of -y**4/3 + 4*y**3 - 18*y**2 - 8*y. Suppose x(s) = 0. Calculate s.
3
Factor -3*c + 21*c**2 - 7 - 5*c - 7*c + 1.
3*(c - 1)*(7*c + 2)
Let i(b) be the third derivative of -b**6/32 + 7*b**5/40 - 13*b**4/32 + b**3/2 - 13*b**2. Factor i(n).
-3*(n - 1)**2*(5*n - 4)/4
Let m(f) = f**2 - 23*f + 22. Let g be m(22). Factor 0 + g*r - 2/11*r**3 - 2/11*r**2.
-2*r**2*(r + 1)/11
Suppose 0*u - 3*u + 9 = 0. Let a be u/(-3 + 2) + 10. Suppose -7*g**2 + 2*g**2 + 2*g**2 + a*g**3 - 4*g**3 + 3*g**4 - 3*g = 0. What is g?
-1, 0, 1
Let a(l) = 2*l - 6. Let r be a(6). Let g be ((-6)/(-15))/(2/30). Factor g*c - r*c + c**2.
c**2
Suppose -1/6*w**2 + 8/3*w - 1/6*w**3 - 10/3 = 0. Calculate w.
-5, 2
Let b = 14/25 - 37/200. Let t(h) be the first derivative of h - b*h**4 + 3/4*h**2 - 1 - 1/3*h**3. Determine a, given that t(a) = 0.
-1, -2/3, 1
Suppose i - 7 = -5. Factor 1/2*l + 1/2*l**i - 1.
(l - 1)*(l + 2)/2
Let r(q) be the second derivative of q**6/50 - q**4/20 + 6*q. Solve r(s) = 0.
-1, 0, 1
Let i = 178 - 1238/7. Let c = 43/154 - -19/22. Find q such that c + 2/7*q**2 + i*q = 0.
-2
Suppose f + 15*f - 48 = 0. Let r(a) be the second derivative of -a + 0 + 0*a**2 - 1/30*a**4 + 0*a**f. Solve r(v) = 0 for v.
0
Let k(w) be the third derivative of w**6/780 + 2*w**5/195 + 5*w**4/156 + 2*w**3/39 - 5*w**2. Factor k(d).
2*(d + 1)**2*(d + 2)/13
Let n(q) = -q + 15. Let v be n(11). Suppose -u + 10 = v*u. Solve 3*g**3 - u*g**3 - 1 + 0*g**2 - g + g**2 = 0 for g.
-1, 1
Let z(s) be the second derivative of -s**8/560 + s**7/140 - s**5/20 + s**4/8 + s**3/6 - 6*s. Let x(u) be the second derivative of z(u). What is i in x(i) = 0?
-1, 1
Suppose -16 = 2*c - 4*r, 4*c + 0*c + r - 4 = 0. Let l be (8/60)/(-2) + 2/5. What is q in -1/3*q**5 + 0*q**2 + 2/3*q**3 + c*q**4 + 0 - l*q = 0?
-1, 0, 1
Let c(q) be the first derivative of 3*q**5/10 - 7*q**4/8 + q**3/2 + 3*q**2/4 - q + 5. Find b, given that c(b) = 0.
-2/3, 1
Let c(g) be the first derivative of -g**7/2520 - g**6/720 - g**5/720 + g**3/3 - 3. Let f(x) be the third derivative of c(x). Suppose f(p) = 0. Calculate p.
-1, -1/2, 0
Let j(x) = x**2 - 4*x + 4. Let g be j(4). Suppose -g*u = u - 10. Solve -1/2 + h**3 + 0*h**u - h + 1/2*h**4 = 0 for h.
-1, 1
Let r be (9 - 1) + 1 + -1. Suppose -3*u + 18 = u + 5*h, r = 4*h. Factor 6*b**2 + 7*b**3 + 10*b**u + 11*b - 2 + 4.
(b + 1)**2*(7*b + 2)
Let b be 1*2 - 4/6. Suppose -6*h + h = 0. Factor h - 2/3*u - b*u**2 - 2/3*u**3.
-2*u*(u + 1)**2/3
Let n(f) = 3*f**2 - 39*f - 42. Let i(a) = a**2 - 20*a - 21. Let v(m) = -9*i(m) + 4*n(m). What is q in v(q) = 0?
-7, -1
Let v(j) be the second derivative of -3*j**5/20 - j**4/2 - j**3/2 + 2*j. What is r in v(r) = 0?
-1, 0
Factor 7*h**2 + 4*h - h**2 - 8 + 100*h**3 - 101*h**3 - h**4.
-(h - 2)*(h - 1)*(h + 2)**2
Let d = -32 + 34. Let y(p) be the second derivative of 0*p**d - 1/35*p**5 + 0*p**3 + p + 1/42*p**4 + 0. Let y(g) = 0. What is g?
0, 1/2
Let x(i) be the third derivative of -5*i**2 + 0*i - 2/15*i**3 - 1/20*i**4 + 0 - 1/150*i**5. Let x(r) = 0. Calculate r.
-2, -1
Let 343/2*o**3 - 4 - 147*o**2 + 42*o = 0. Calculate o.
2/7
Let g(q) = -2*q**3 + 2*q - 3. Let