 + 48 = 0. Let k be (17/x - (-36)/(-198))*10. Factor -k*u**2 + 20/3*u**3 + 4/3*u**5 - 5*u**4 + 1/3 + 0*u.
(u - 1)**4*(4*u + 1)/3
Let i(l) = l**3 - l - 3. Let m be i(0). Let y be (0 - (-2 - -2))/m. Solve 1 + y*k + k**2 - 2*k + 0*k = 0 for k.
1
Suppose -63*u - 4*b = -56*u - 4, 5*u + 10 = -5*b. Solve -8/3 + 14/9*v**u - 10/3*v**3 + 10/9*v**2 - 2/9*v**5 + 32/9*v = 0.
-1, 1, 2, 3
Let u be 6/(-21) + (-10)/(-35). Suppose 2*l = -u*l + 12. Find b, given that 2 + l*b**2 - 3 - 2*b - 7*b**2 = 0.
-1
Let r(w) be the first derivative of w**8/420 + 2*w**7/105 + w**6/18 + w**5/15 - 10*w**3/3 + 17. Let z(q) be the third derivative of r(q). Factor z(y).
4*y*(y + 1)**2*(y + 2)
Let n be 3/48*-146 + 2/16. Let v(x) = x**3 + 10*x**2 + 9*x + 3. Let t be v(n). Factor -3/2*c**2 + 3/2*c**t + 3/2*c**4 - 3/2*c + 0.
3*c*(c - 1)*(c + 1)**2/2
Let j = 103403/9 + -11489. Factor -20/9*d + 50/9 + j*d**2.
2*(d - 5)**2/9
Let v(t) = 9*t**3 - 2*t - 3. Let p(a) = a**3 + a**2 + a - 1. Let y(u) = 5*p(u) - v(u). Factor y(j).
-(j - 2)*(j + 1)*(4*j - 1)
Suppose -6*d + 3*d = 15, -4*x + 2*d + 34 = 0. Let t be 3*(1 - 2 - -2). Let -2*j**5 - j**5 - 3*j**3 + x*j**t = 0. Calculate j.
-1, 0, 1
Factor 4/7*t**3 - 52/7*t**2 + 52/7 - 4/7*t.
4*(t - 13)*(t - 1)*(t + 1)/7
Let 166/7*x**2 - 3526/7*x - 2/7*x**3 + 3362/7 = 0. What is x?
1, 41
Let a(v) be the first derivative of v**6/3 + 12*v**5/5 + 11*v**4/2 + 4*v**3 + 26. Factor a(z).
2*z**2*(z + 1)*(z + 2)*(z + 3)
Suppose 0 + 16/3*x**3 + 0*x + 0*x**2 + 2/3*x**4 = 0. What is x?
-8, 0
Let s(d) be the second derivative of -d**7/2100 + d**5/600 - 9*d**2 - 10*d. Let y(z) be the first derivative of s(z). Factor y(c).
-c**2*(c - 1)*(c + 1)/10
Suppose 9*q - 9/4*q**3 + 12 - 3/2*q**2 - 3/8*q**4 = 0. What is q?
-4, -2, 2
Let n(t) be the first derivative of -t**3/3 - 83*t**2 - 6889*t + 287. Let n(k) = 0. Calculate k.
-83
Solve 5/3 + 1/9*v**2 + 8/9*v = 0.
-5, -3
Let w(d) be the second derivative of d**7/630 - d**5/180 + 3*d**2 + 9*d. Let a(b) be the first derivative of w(b). Factor a(t).
t**2*(t - 1)*(t + 1)/3
Factor 55/3*l**2 - 5/3*l**4 - 100*l + 10*l**3 - 500/3.
-5*(l - 5)**2*(l + 2)**2/3
Factor 2/3*l**4 + 0*l + 0*l**2 + 0 + 2/3*l**3.
2*l**3*(l + 1)/3
Determine c, given that -3/5*c**2 - 18 - 51/5*c = 0.
-15, -2
Let q(i) be the second derivative of 0 + 0*i**2 - 1/10*i**4 - 1/50*i**6 - 26*i + 0*i**3 - 9/100*i**5. Let q(r) = 0. Calculate r.
-2, -1, 0
Let g be (9 - 9)/19 + 0 + 0. Let -8/9*m + g + 4/3*m**2 + 32/9*m**3 + 4/3*m**4 = 0. Calculate m.
-2, -1, 0, 1/3
Let a(c) = -c**2 + 1 - c**5 + 4*c**3 - 16*c**3 + 13*c**3 - c. Let f(o) = 6*o**5 - 2*o**4 - 4*o**3 + 5*o**2 + 5*o - 5. Let n(k) = -5*a(k) - f(k). Factor n(v).
-v**3*(v - 1)**2
Suppose -o + 8 = -23. Factor -w**2 + 17 - 3*w - o + 14.
-w*(w + 3)
Let a(z) = 105*z**3 - z**2 + 3*z - 2. Let c be a(1). Let i = c - 943/9. Factor 0*y + i*y**2 + 0.
2*y**2/9
Let d(u) be the second derivative of 5*u**7/63 + 122*u**6/45 + 78*u**5/5 + 284*u**4/9 + 160*u**3/9 - 488*u. Suppose d(l) = 0. What is l?
-20, -2, -2/5, 0
Suppose 5*n = 89 + 21. Let z be 7/28 - n/(-8). Factor 3*b**2 + z*b**3 + 5*b - 3*b - 5*b - 3*b**4.
-3*b*(b - 1)**2*(b + 1)
Let k = 15 + -12. Factor -17*s**3 + 8*s**k + 4*s**3 + 2*s**2 + 4*s**3.
-s**2*(s - 2)
Suppose -3*s - 528 = 8*s. Let y be (5 - s/(-9))*(-9)/12. Factor 3/4 - y*d**2 - 1/2*d.
-(d - 1)*(d + 3)/4
Factor 2*w**4 - 532*w**3 + 2*w**5 + 264*w**3 + 4*w**4 + 272*w**3.
2*w**3*(w + 1)*(w + 2)
Suppose 2*g + 5*r = 10*r + 46, 4*r = -g + 36. Let h be ((-16)/g)/(129/(-21) - -3). Determine p so that -8/11 - h*p**4 + 14/11*p**3 - 30/11*p**2 + 26/11*p = 0.
1, 4
Let s be (-14)/4*116/(-1421). Factor 0 + s*g**2 - 4/7*g.
2*g*(g - 2)/7
Let f(g) = -g**3 - g**2 - 5*g + 1. Let t(i) = -12*i**3 + 4*i**2 - 78*i + 26. Let w(c) = 10*f(c) - t(c). Determine z, given that w(z) = 0.
1, 2, 4
Suppose 5292 + 1371/4*g**2 - 75/2*g**3 + 3150*g + 3/4*g**4 = 0. What is g?
-3, 28
Let y(m) be the second derivative of m**7/2100 - m**5/300 + 9*m**3/2 + 10*m. Let o(i) be the second derivative of y(i). Suppose o(h) = 0. What is h?
-1, 0, 1
Let s(y) be the second derivative of y**5/5 + 71*y**4/3 + 2720*y**3/3 + 6936*y**2 - 3*y + 1. Factor s(l).
4*(l + 3)*(l + 34)**2
Let p(i) = -i**2 - 6*i + 11. Let w be p(-7). Let t(h) be the first derivative of 0*h + 0*h**3 - 1/4*h**2 - 5 + 1/8*h**w. Factor t(l).
l*(l - 1)*(l + 1)/2
Let j = -22956 + 1262636/55. Let s = 2/11 + j. What is b in s*b + 9/5 - 3/5*b**2 = 0?
-1, 3
Let z(w) be the first derivative of w**3/12 + w**2/8 - 21*w/2 - 627. Find y such that z(y) = 0.
-7, 6
Let i(t) be the third derivative of 1/135*t**7 + 46*t**2 - 11/108*t**4 - 11/90*t**5 + 2/9*t**3 + 0*t + 0 - 1/60*t**6. Determine r, given that i(r) = 0.
-1, 2/7, 3
Let w(i) be the first derivative of 3 + 1/24*i**3 - 3/16*i**2 + 1/4*i. Suppose w(f) = 0. What is f?
1, 2
Suppose -8*r - 15 = -3*r. Let n be -7*(r - 38/(-14)). Factor -20*k**3 + 0 - k**n + 19*k**3 + 0.
-k**2*(k + 1)
Let u(j) be the third derivative of -j**6/40 - j**5/2 - 2*j**4 + 335*j**2. Suppose u(s) = 0. What is s?
-8, -2, 0
Let r(o) be the third derivative of o**8/1176 + o**7/147 + o**6/84 - o**5/42 - o**4/14 - 9*o**2 - 4. Solve r(d) = 0 for d.
-3, -2, -1, 0, 1
Let d be 0 + 254/48 - (-29 - -34). Let b(s) be the second derivative of 1/6*s**3 + 7*s - d*s**4 + 0*s**2 + 0. Factor b(c).
-c*(7*c - 2)/2
Factor 120*s**3 - 54*s**3 - 360*s + 69*s**3 - 4*s**4 + 24*s**4 + 80 + 125*s**2.
5*(s - 1)*(s + 4)**2*(4*s - 1)
Let a = 5554 + -5552. Factor 7/2*o**a + 1/2*o**3 - 8 + 4*o.
(o - 1)*(o + 4)**2/2
Let c(b) = b + 1. Let x(j) = 5*j**3 + 5*j**2 - 13*j - 3. Suppose -n + 0*n = 3. Let o(v) = n*c(v) - x(v). Factor o(p).
-5*p*(p - 1)*(p + 2)
Let z(m) be the second derivative of m**6/45 - 7*m**5/40 + m**4/36 + 5*m**3/12 + 154*m - 2. Factor z(v).
v*(v - 5)*(v - 1)*(4*v + 3)/6
Suppose 69*z**3 - 71*z**3 - 61*z**2 + 53*z**2 = 0. Calculate z.
-4, 0
Let y(f) be the third derivative of 0 + 0*f**7 + 0*f + 1/224*f**8 + 8*f**2 + 0*f**4 + 0*f**3 - 3/80*f**6 - 1/20*f**5. Factor y(l).
3*l**2*(l - 2)*(l + 1)**2/2
Suppose 29/6*z**2 - 1/6*z**3 - 75/2 - 65/2*z = 0. Calculate z.
-1, 15
Let f(y) = -99*y + 5250. Let t be f(53). Factor -21*q**2 + 6*q**t - 1 + 28/3*q.
(q - 3)*(3*q - 1)*(6*q - 1)/3
Suppose -6*d + 2*d = -3*n - 3, -6 = -2*n. Factor -3/7*a**2 + 0 - 1/7*a - 3/7*a**d - 1/7*a**4.
-a*(a + 1)**3/7
Suppose 11 - 15 = -2*o - z, 0 = 4*o + z - 8. Let d = 14 - 9. Find l such that -d*l**2 - l**3 - 1 - 5 + o + 8*l**2 = 0.
-1, 2
Let d be (1 - (-124)/(-76))*8 - (-20 - -14). Factor 0 - 14/19*g**2 + 4/19*g - d*g**3.
-2*g*(g + 1)*(9*g - 2)/19
Suppose 3 = -5*y + z - 17, -5*z - 20 = 5*y. Let l be (8/14)/(y/(-14)). Suppose -2 + 14/3*m + 2/3*m**3 - 10/3*m**l = 0. Calculate m.
1, 3
Let s be 1/(-7)*(-300)/15. What is w in 10/7*w**4 + s*w**2 - 10/7*w - 20/7*w**3 - 2/7*w**5 + 2/7 = 0?
1
Let c(z) be the third derivative of 3*z + 0 + 0*z**3 - 6*z**2 - 25/6*z**4 + 3/10*z**6 + 2/105*z**7 + z**5. Determine l so that c(l) = 0.
-5, 0, 1
Suppose 5*z - 4*k + k - 55 = 0, -2*z + 2*k = -18. Solve -4*u**2 + 7*u**2 - 2*u**2 + z*u**2 + 5*u**3 - 20 = 0 for u.
-2, 1
Let f = -145 + 148. What is c in 59*c**3 - 6*c - 3*c + 58*c**3 - 116*c**f + 8*c**2 = 0?
-9, 0, 1
Let a(w) be the first derivative of -8 - 4*w + w**2 - 1/12*w**3. Factor a(o).
-(o - 4)**2/4
Let u(n) be the second derivative of -n**7/840 + n**5/30 - 2*n**3/3 + 31*n**2/2 + 56*n. Let v(x) be the first derivative of u(x). Suppose v(o) = 0. What is o?
-2, 2
Let t(s) = -3*s**3 + s**2 + s + 1. Suppose -14 = -3*b - 17. Let o be t(b). Factor 13*i - o*i**3 + 2*i**2 - 4 - 7*i + 4*i**2.
-2*(i - 2)*(i + 1)*(2*i - 1)
Let r(x) = -2*x**3 + 28*x**2 - 7*x + 101. Let l be r(14). Suppose 1/2*z**2 + 1/6 - 1/6*z**l - 1/2*z = 0. Calculate z.
1
Let p(s) be the third derivative of s**7/420 - s**5/60 + s**3/12 - 4*s**2 + 9. Factor p(y).
(y - 1)**2*(y + 1)**2/2
Let t = -1433/210 - -295/42. What is a in -t*a**5 + 9/5*a**2 - 3*a**3 + 0 + 0*a + 7/5*a**4 = 0?
0, 1, 3
Let t(p) be the third derivative of -p**5/180 - 17*p**4/18 - 578*p**3/9 - 90*p**2. Suppose t(h) = 0. What is h?
-34
Suppose -26/9*v**2 - 14/3*v**3 - 4/9*v + 0 = 0. What is v?
-1/3, -2/7, 0
Let m(r) be the first derivative of -r**5/80 + r**4/8 - r**3/2 + 21*r**2/2 - 11. Let w(x) be the second derivative of m(x). Determine t, given that w(t) = 0.
2
Let q be (-8)/(-14) 