). Factor 0 - 10/7*s**z + 4/7*s.
-2*s*(5*s - 2)/7
Suppose 0 - 4/3*l**2 + 4/3*l**3 + 1/3*l = 0. What is l?
0, 1/2
Let b(p) be the second derivative of 1/90*p**5 + 0 + 1/27*p**4 + 1/27*p**3 + 5*p + 0*p**2. Let b(q) = 0. What is q?
-1, 0
Let d(v) be the third derivative of v**6/1260 - v**4/84 - 7*v**3/6 - 2*v**2. Let j(t) be the first derivative of d(t). Factor j(l).
2*(l - 1)*(l + 1)/7
Factor 1/5*a**3 - 2/5*a**4 + 0 + 2/5*a**2 - 1/5*a.
-a*(a - 1)*(a + 1)*(2*a - 1)/5
Let r(c) be the second derivative of 15*c**4/4 + 5*c**3/3 - 34*c. Factor r(t).
5*t*(9*t + 2)
Let q(h) be the second derivative of -4*h**7/63 - 13*h**6/45 - h**5/2 - 7*h**4/18 - h**3/9 + 34*h. Determine n, given that q(n) = 0.
-1, -1/4, 0
Let x be ((-2)/9)/(-1) - 676/(-1170). Factor 4/5 + x*r + 1/5*r**2.
(r + 2)**2/5
Suppose -1/2*w**4 - 3/2*w + 0 + 5/2*w**2 - 1/2*w**3 = 0. What is w?
-3, 0, 1
Let c(y) be the first derivative of 21*y**4/4 - 5*y**3 - 3*y**2 + 2. Let c(v) = 0. What is v?
-2/7, 0, 1
Let z(o) = -3*o + 17. Let i be z(5). Determine r, given that 0 + 2/5*r**3 + 4/5*r**i + 2/5*r = 0.
-1, 0
Let y(m) be the second derivative of 10*m**7/21 - 2*m**6/5 - 32*m**5/5 + 8*m**4/3 + 32*m**3 + 32*m**2 + 13*m. Let y(z) = 0. What is z?
-2, -1, -2/5, 2
Suppose 3*l = -0*l + 6. Let h = -50 - -151/3. Factor 0*j**l + 0 + 0*j - 1/3*j**4 - h*j**3.
-j**3*(j + 1)/3
Let t(p) be the second derivative of 2/21*p**4 - 2/7*p**2 + 1/21*p**3 - 2/105*p**6 + 0 - 1/35*p**5 + 1/147*p**7 + 6*p. Suppose t(r) = 0. What is r?
-1, 1, 2
Let s = 12 + -8. Factor 4 - s - x**2.
-x**2
Let m(f) be the first derivative of f**4/4 - 2*f**3 - 15*f**2/2 - 8*f + 9. Factor m(x).
(x - 8)*(x + 1)**2
Let h(k) be the third derivative of -5*k**8/112 - 4*k**7/21 - 7*k**6/24 - k**5/6 + 2*k**2. Factor h(i).
-5*i**2*(i + 1)**2*(3*i + 2)
Let m = -107 + 109. Solve 3/5*h**m - 3/5 + 3/5*h**3 - 3/5*h = 0.
-1, 1
Suppose x + 4 = 3*x. Let n be x/5 - 8/20. Determine s, given that 0*s**2 + 4/7*s**4 - 6/7*s**3 + 2/7*s + n = 0.
-1/2, 0, 1
Factor 3/2*x**2 - 1 - 5/2*x.
(x - 2)*(3*x + 1)/2
Let q(u) = -u**3 - 4*u**2 + 4*u - 5. Let t be (-3 + (-11)/(-2))*-2. Let c be q(t). Factor c + 0*h + 2/3*h**3 - 2/3*h**2.
2*h**2*(h - 1)/3
Let l(t) be the second derivative of 1/12*t**4 - 3/20*t**5 + 0*t**2 + 1/10*t**6 + 0 + 0*t**3 - 1/42*t**7 + 2*t. Find r such that l(r) = 0.
0, 1
Let n = -7 - -12. Let g = n + -1. Factor 2*i**3 + i - g*i + i.
2*i*(i - 1)*(i + 1)
Factor 27/4 - 9/2*i + 3/4*i**2.
3*(i - 3)**2/4
Let z(i) be the second derivative of -i**5/40 + i**4/6 + i**3/4 - 9*i**2/2 + 12*i. Factor z(h).
-(h - 3)**2*(h + 2)/2
Suppose 0 = y + 5, 7*y + 15 = -5*t + 2*y. Suppose a + r + 2 = 3*a, 5*r - 4 = 3*a. What is h in -h**2 + t*h**2 - 3*h**a + 2 = 0?
-1, 1
Let l(j) = -7*j**3 + 57*j**2 - 93*j + 43. Let x(v) = 85*v**3 - 685*v**2 + 1115*v - 515. Let w(b) = 25*l(b) + 2*x(b). Factor w(o).
-5*(o - 9)*(o - 1)**2
Suppose 2*x + 2*x = 12. Let t = 4 - 2. Factor s**5 - 3*s + 3*s**4 - x - 2*s**2 + t + 0*s**5 + 2*s**3.
(s - 1)*(s + 1)**4
Let r(o) = -7*o**4 + 5*o**3 + 4*o**2 - 8*o + 3. Let u(h) = -22*h**4 + 14*h**3 + 12*h**2 - 24*h + 10. Let a(v) = -10*r(v) + 3*u(v). Factor a(l).
4*l*(l - 2)*(l - 1)*(l + 1)
Let f(d) be the first derivative of -d**6/30 + d**5/10 + d**4/12 - d**3/3 - 5*d - 4. Let a(y) be the first derivative of f(y). Determine i, given that a(i) = 0.
-1, 0, 1, 2
Let j(l) be the second derivative of -1/120*l**6 - 1/12*l**3 + 1/8*l**2 + 0*l**4 + l + 1/40*l**5 + 0. Factor j(z).
-(z - 1)**3*(z + 1)/4
Find x, given that 1 - 2*x**2 + 3*x + x + 8 - 3 = 0.
-1, 3
Let b(s) = s + 19. Let r be b(-16). Factor 1/2*l**2 + 0*l + 0 - 1/2*l**4 + 0*l**r.
-l**2*(l - 1)*(l + 1)/2
Let u(w) be the first derivative of -w**3/5 + 3*w/5 + 1. Determine h so that u(h) = 0.
-1, 1
Let g(z) = -4*z**2 + 4. Let r(a) = -a**3 + a**2 - 1. Let p(h) = g(h) + 4*r(h). Let p(k) = 0. What is k?
0
Let l be (-145)/(-60) + (10/8)/5. Let u(a) be the first derivative of 0*a + 3/2*a**4 + l*a**3 + 1/3*a**6 - 4*a**2 - 8/5*a**5 - 1. Solve u(q) = 0 for q.
-1, 0, 1, 2
Let f be (-2 + (-20)/(-6))*3. Let k(j) be the first derivative of 2/25*j**5 + 3/10*j**f + 3 + 1/5*j**2 + 2/5*j**3 + 0*j. Factor k(p).
2*p*(p + 1)**3/5
Let c(d) be the first derivative of 0*d**2 + 0*d + 0*d**4 + 2 + 2/35*d**5 - 2/21*d**3. Factor c(q).
2*q**2*(q - 1)*(q + 1)/7
Let w(m) = -7*m**3 - m**2 + 5*m - 3. Let l(z) = -z**3 + z - 1. Let d(t) = -6*l(t) + w(t). Let b be d(0). Factor -4 + 4*s**2 + s - 4*s + b.
(s - 1)*(4*s + 1)
Let j = 148 + -5327/36. Let m(d) be the third derivative of -1/180*d**5 + j*d**4 - 1/18*d**3 + 0*d + 0 - d**2. Let m(v) = 0. What is v?
1
Let t(h) = 3*h**5 + 9*h**4 + 3*h**3 + 15*h**2 - 15*h - 15. Let a(l) = -l**4 - l**2 + l + 1. Let s(m) = 15*a(m) + t(m). Let s(p) = 0. Calculate p.
0, 1
Suppose 4*p - 28 = -j, -4*j - 5 = p - 57. Let f be ((-2)/16)/((-6)/j). Factor -f*z**2 + 1/4*z**3 + 1/4 - 1/4*z.
(z - 1)**2*(z + 1)/4
Factor 4/3*z**4 + 2*z + 28/9*z**3 + 32/9*z**2 + 4/9 + 2/9*z**5.
2*(z + 1)**4*(z + 2)/9
Factor -g**4 + 0 - 14*g**2 + 9*g**2 + 0 - 2*g - 4*g**3.
-g*(g + 1)**2*(g + 2)
Suppose -268*o**3 - 49 - 160*o**2 - 15 + 272*o - 32*o**3 = 0. Calculate o.
-4/3, 2/5
Let l be ((2 + 0)/4)/(21/12). What is u in 0 - l*u - 6/7*u**3 + 6/7*u**2 + 2/7*u**4 = 0?
0, 1
Let k(m) be the second derivative of -2*m**5/75 - m**4/18 - m**3/45 - 25*m. Factor k(y).
-2*y*(y + 1)*(4*y + 1)/15
Let i(w) be the second derivative of -7/12*w**3 - 1/60*w**6 - 3/8*w**4 - 1/8*w**5 - 1/2*w**2 + 0 - w. Determine r so that i(r) = 0.
-2, -1
Let n be (2/(-9))/(3*(-3)/9). Determine i so that 0*i**2 + 0 - n*i + 2/9*i**3 = 0.
-1, 0, 1
Let y = -472 + 2361/5. Let 0 + 0*a - y*a**4 + 1/5*a**3 + 2/5*a**2 = 0. What is a?
-1, 0, 2
Let q(a) be the second derivative of -1/84*a**4 + 1/105*a**5 - 1/21*a**3 + 0 - a**2 + 2*a. Let b(y) be the first derivative of q(y). Solve b(c) = 0 for c.
-1/2, 1
Let u = -4 + 6. Suppose 2*f - 2*a - 2 = 0, 3*f + a = u*a + 9. Let f*c - 5*c + 3*c + c**2 + c**2 = 0. Calculate c.
-1, 0
Suppose -34*v = -26*v - 16. Factor 1/7*w**v + 1/7*w - 2/7.
(w - 1)*(w + 2)/7
Suppose 2 = r - q, 0*r - r + 7 = 4*q. Let s(j) = 3*j - 2. Let u be s(r). Determine k so that -u*k**4 + 3*k**3 + 3*k**2 + 4*k**4 - 4*k + k = 0.
-1, 0, 1
Factor -4/11 - 18/11*t**2 + 14/11*t + 10/11*t**3 - 2/11*t**4.
-2*(t - 2)*(t - 1)**3/11
Let n = 4/5 + -7/15. Let w(d) be the first derivative of n*d**3 - 2 - d**2 + 0*d. Factor w(a).
a*(a - 2)
Let d(k) = -9*k**3 + 6*k**2 - 8. Let s(l) = -4*l**3 + 3*l**2 - 4. Suppose 3*y - 5*i = 23, 5*y + 4 - 38 = 4*i. Let p(z) = y*d(z) - 14*s(z). Factor p(q).
2*(q - 2)**2*(q + 1)
Suppose 8 = -3*l - 4. Let c(w) = w**3 + 5*w**2 + 5*w + 6. Let r be c(l). Factor 2/7 - 4/7*y**r + 2/7*y**4 - 2/7*y - 2/7*y**5 + 4/7*y**3.
-2*(y - 1)**3*(y + 1)**2/7
Let j be 0*2/(-6) + -2. Let b(h) = -h**2 - h. Let o(r) = -5*r**2 + 16*r - 27. Let y(l) = j*b(l) + o(l). Let y(i) = 0. Calculate i.
3
Let n(b) be the first derivative of 0*b + 2/9*b**3 - 1/3*b**4 + 2 + 0*b**2 + 2/15*b**5. Factor n(f).
2*f**2*(f - 1)**2/3
Let g(p) be the third derivative of -p**7/5040 - p**6/360 - p**5/80 - 2*p**3/3 + 2*p**2. Let j(i) be the first derivative of g(i). Factor j(k).
-k*(k + 3)**2/6
Suppose -1/6*z**2 - 1/6 + 1/3*z = 0. What is z?
1
Let q(w) be the third derivative of w**8/1680 - w**7/280 + w**6/360 + w**5/40 - w**4/12 - w**3/6 - w**2. Let y(c) be the first derivative of q(c). Factor y(t).
(t - 2)*(t - 1)**2*(t + 1)
Suppose -q + 5*q - 7 = -3*x, q = 5*x + 19. Let w be -3 + 3 + 0 - x. Solve 2*s**4 + 3*s**4 + 7*s**2 - 9*s**3 - s**5 - 2*s + 0*s**w = 0 for s.
0, 1, 2
Let i(q) = -q + 13. Let v be i(0). Determine x so that -v*x**2 - 14 + 11*x**2 + 6 - 8*x = 0.
-2
Suppose -84 = -7*x + 4*x. Suppose h + 3*u = 6*h - 35, 0 = -2*h + 4*u + x. Factor 2*j**h - j**4 + 2*j**3 - 3*j**4.
-2*j**3*(j - 1)
Let r(j) = j**2 + 13*j - 68. Let l be r(-17). Let l - 2/5*f + 1/5*f**2 = 0. What is f?
0, 2
Let h(l) = 98*l**3 + 42*l**2 - 50*l + 10. Let c(f) = -f + 1. Let t(k) = -2*c(k) + h(k). Factor t(q).
2*(q + 1)*(7*q - 2)**2
Let s(l) be the first derivative of -2 + 1/15*l**5 - 1/4*l**4 - 1/6*l**2 + 0*l + 1/3*l**3. Factor s(a).
a*(a - 1)**3/3
Factor 0 - 2/19*c**3 + 4/19*c**2 - 2/19*c**4 + 0*c.
-2*c**2*(c - 1)*(c + 2)/19
Let v = 330 - 2308/7. Factor v*z**3 + 0 - 2/7*z**2 + 0*z.
2*z**2*(z - 1)/7
Suppose j = 2*j - 13. Suppose g - 3*b -