*b**8/336 + b**7/6 - b**6/3 - 4*b**5/3 + 26*b**2 + b. Let j(l) = 0. Calculate l.
-1, 0, 4
Suppose -2*w + 5 = -3*n + 2*n, -5 = 5*n - 5*w. Suppose -4*z - 17 = 5*q, -z + 0*q = q + n. Suppose -1/4*m + 1/4*m**3 + 1/4*m**z - 1/4 = 0. Calculate m.
-1, 1
Factor 14/5*j + 4 + 2/5*j**2.
2*(j + 2)*(j + 5)/5
Let s(p) be the second derivative of -2*p**7/21 + 2*p**6/3 - 9*p**5/5 + 7*p**4/3 - 4*p**3/3 + 7*p - 1. Determine n, given that s(n) = 0.
0, 1, 2
Let y(u) be the second derivative of -u**6/60 - u**5/20 + u**4/8 + 2*u**3/3 + u**2 + 2*u - 16. Factor y(o).
-(o - 2)*(o + 1)**2*(o + 2)/2
Let z be (-1 + -17)/(0 + 1). Let w = z - -85/2. Factor -30*m + 63*m**2 - w*m**3 + 4.
-(m - 2)*(7*m - 2)**2/2
Let i(l) be the second derivative of l**7/420 + 11*l**6/720 + l**5/48 - l**4/24 - 4*l**3/3 + 4*l. Let p(c) be the second derivative of i(c). Factor p(r).
(r + 1)*(r + 2)*(4*r - 1)/2
Suppose m - 5 = 0, 5*b = 2*m - 0*m. Let o(q) = 5*q**2 - 2*q - 14. Let h(x) = 36*x**2 - 15*x - 99. Let d(j) = b*h(j) - 15*o(j). Find a, given that d(a) = 0.
-2, 2
Suppose 0 + 3/4*c**4 + 0*c**3 + 0*c**2 + 0*c = 0. What is c?
0
Let u be (13/2 - 2) + (-3)/(-6). Suppose -u*n = -13*n + 24. Solve 36/5*i - 8/5 - 5*i**n - 6*i**2 = 0 for i.
-2, 2/5
What is r in -92/7*r**4 - 236/7*r**3 + 50/7 + 35*r - 9/7*r**5 + 6*r**2 = 0?
-5, -1, -2/9, 1
Let w(p) be the third derivative of -p**6/900 + 7*p**5/450 - 11*p**4/180 + p**3/9 - 4*p**2 - 7*p. Factor w(h).
-2*(h - 5)*(h - 1)**2/15
Suppose -170*z = 2444 - 3124. Factor 1/8*w**2 + 1/4*w + 1/8*w**5 - 1/8*w**z + 0 - 3/8*w**3.
w*(w - 2)*(w - 1)*(w + 1)**2/8
Let d = -1481/4 - -4451/12. What is l in -d*l**2 + 2/3*l + 0 = 0?
0, 1
Let b(d) = 3*d**3 + 9*d**2 - 45*d + 9. Let j(h) = -h**3 - h**2 - 2*h. Let x(l) = -b(l) + 6*j(l). Find w, given that x(w) = 0.
-3, 1/3, 1
Suppose -2*i = 5*p + 5, i = -4*p + 4*i - 4. Let f be (p + 3/(-15))*70/(-28). Let -2/9*w**5 + 2/3*w**f - 2/9*w**4 + 2/9*w**2 + 0 - 4/9*w = 0. Calculate w.
-2, -1, 0, 1
Let n(z) be the third derivative of -z**7/231 - 2*z**6/165 - z**5/330 + z**4/66 + 18*z**2. Determine x so that n(x) = 0.
-1, 0, 2/5
Find v such that 28*v**2 + 27*v**2 - 72*v**2 + 22*v**2 - 200*v + 380 = 0.
2, 38
Factor 14*y - 41/3 - 1/3*y**2.
-(y - 41)*(y - 1)/3
Factor -92/5*z + 2/5*z**2 + 1058/5.
2*(z - 23)**2/5
Let m(c) = c**5 + 15*c**4 + 30*c**3 + 32*c**2 + 13*c + 5. Let j(k) = -k**5 + k**2 - k + 1. Let o = 8 - 6. Let b(p) = o*j(p) - m(p). Factor b(q).
-3*(q + 1)**5
Suppose 14 + 8 - 22 = -556*l. Determine h, given that 0 + 2/3*h**3 + 1/3*h**4 - 1/3*h**5 + 0*h**2 + l*h = 0.
-1, 0, 2
Let w(m) be the third derivative of -42*m**2 - 7/480*m**6 + 11/24*m**4 + 0*m - 1/48*m**5 + 0 - 1/2*m**3. Find t such that w(t) = 0.
-3, 2/7, 2
Suppose -4*g + 123 = -141. Let a = g - 64. What is i in 1/2*i**3 + 0 - i**a + 1/2*i = 0?
0, 1
Factor 8*r - 2252*r**3 + 8*r**4 + 40*r**2 + 1133*r**3 + 1153*r**3.
2*r*(r + 2)**2*(4*r + 1)
Factor 12*n**2 - 2907*n**4 - n - 2*n - 18*n**3 + 2919*n**4 - 3*n**5.
-3*n*(n - 1)**4
Let r(b) be the second derivative of -b**4/24 + b**3/3 - b**2 - 12*b + 2. Determine s, given that r(s) = 0.
2
Let o(s) be the second derivative of -s**7/1260 - s**6/360 + 5*s**4/6 - 11*s. Let p(u) be the third derivative of o(u). Factor p(m).
-2*m*(m + 1)
Let x = 31/29 + -295/493. Find d such that -x*d + 0 - 48/17*d**2 + 98/17*d**4 - 42/17*d**3 = 0.
-2/7, 0, 1
Let h(u) be the third derivative of -u**6/240 - u**5/20 - 11*u**4/48 - u**3/2 + 16*u**2 + u. Determine z so that h(z) = 0.
-3, -2, -1
Let m be 30/(-6) + 3/(6/10). Let u(j) be the first derivative of 1/3*j**3 + m*j**2 + 0*j - 7. Suppose u(x) = 0. What is x?
0
Let k(g) = 2*g**3 - 8*g**2 + 4*g - 12. Let w be k(4). Let h(y) be the second derivative of 1/9*y**w + 0 + 0*y**2 - 8*y - 1/30*y**5 - 1/9*y**3. Factor h(c).
-2*c*(c - 1)**2/3
Suppose 0 = -2*k - 0*k + 6. Let j(s) = 6*s**3 + 3*s**2. Let q be (1/1)/(10/(-20)). Let l(y) = 5*y**3 + 3*y**2. Let n(x) = k*l(x) + q*j(x). Factor n(o).
3*o**2*(o + 1)
Let x(j) be the first derivative of j**6/1080 + j**5/108 + j**4/36 + 3*j**2 + 14. Let b(n) be the second derivative of x(n). Let b(g) = 0. What is g?
-3, -2, 0
Let w = 0 + 2. Determine z so that -8*z**3 + 6*z**3 + w*z**4 + 0*z**3 = 0.
0, 1
Let n(q) = 4*q**3 + 20*q**2 - 2*q - 22. Let h(b) = -4*b**3 - 20*b**2 + b + 23. Let z(k) = 2*h(k) + 3*n(k). Factor z(c).
4*(c - 1)*(c + 1)*(c + 5)
Determine a so that 905*a**3 + 3*a**5 + 1848*a**2 + 1345*a**2 + 126*a**4 + 4500*a - 16*a**4 + 107*a**2 + 2*a**5 = 0.
-6, -5, 0
Factor 1 - 1391*i - 4*i**2 + 1395*i + 7.
-4*(i - 2)*(i + 1)
Let s(p) be the second derivative of -2*p + 0 + 1/20*p**5 + 2/3*p**4 + 7/6*p**3 + 0*p**2. Factor s(o).
o*(o + 1)*(o + 7)
Let h = -204 + 1021/5. Let i = 7/5 - h. Factor 2/5 + 6/5*a**2 - 2/5*a**3 - i*a.
-2*(a - 1)**3/5
Factor 12 - 24/5*k - 33/5*k**2 - 3/5*k**3.
-3*(k - 1)*(k + 2)*(k + 10)/5
Let o(u) be the first derivative of -u**5/35 + 3*u**4/7 + 13*u**3/21 + 265. Let o(k) = 0. What is k?
-1, 0, 13
Let q(p) be the third derivative of p**6/360 - p**5/24 + p**4/6 - 5*p**3/6 - 6*p**2. Let d(l) be the first derivative of q(l). Factor d(f).
(f - 4)*(f - 1)
Suppose 11*l**3 + 2*l**4 - 3 + 27*l**2 - l**4 + 12778*l + 11 - 12753*l = 0. Calculate l.
-8, -1
Let p(m) = -7*m**3 - 31*m**2 - 2*m + 160. Let f(r) = 34*r**3 + 154*r**2 + 12*r - 800. Let u(q) = -3*f(q) - 14*p(q). Let u(l) = 0. What is l?
-5, -4, 2
Let j(w) be the third derivative of 0*w**4 - 1/105*w**7 - 1/15*w**5 + 1/20*w**6 + 0 + 0*w**3 + 0*w + 12*w**2. Factor j(x).
-2*x**2*(x - 2)*(x - 1)
Let h(c) be the second derivative of 3*c**5/100 - 47*c**4/60 + 29*c**3/30 + 3*c**2/2 - 2*c - 55. Factor h(u).
(u - 15)*(u - 1)*(3*u + 1)/5
Let b = 9/58 + 10/29. Factor -3/2*z**2 + b*z + 1 + 1/2*z**4 - 1/2*z**3.
(z - 2)*(z - 1)*(z + 1)**2/2
Let f be (-1589)/882 - (-4)/(-18). Let s = -13/7 - f. Factor 1/6 - 1/6*y**2 + 1/6*y**3 - s*y.
(y - 1)**2*(y + 1)/6
Let r(j) be the second derivative of 5/3*j**4 - 2/3*j**3 + 0 - 39*j + 0*j**2 - 4/5*j**5. Factor r(f).
-4*f*(f - 1)*(4*f - 1)
Let c(r) = -7*r + 2 + 81 + 2*r + 13*r. Let x be c(-10). Let 0 + 2/5*m - 28/5*m**x - 1/5*m**2 = 0. What is m?
-2/7, 0, 1/4
Let o(g) be the first derivative of 2*g**3/3 + g**2 - 4*g - 65. Factor o(k).
2*(k - 1)*(k + 2)
Let d(g) be the third derivative of -g**6/24 - 17*g**5/2 + 5*g**4/24 + 85*g**3 - 272*g**2 - g. Suppose d(m) = 0. What is m?
-102, -1, 1
Let y(p) be the second derivative of -p**6/300 + p**5/30 - 2*p**4/15 + 4*p**3/15 - 17*p**2 + 3*p. Let l(r) be the first derivative of y(r). Factor l(j).
-2*(j - 2)**2*(j - 1)/5
Let a(y) be the second derivative of 0 + 11*y - 1/15*y**5 + 0*y**4 + 1/2*y**2 + 0*y**3. Let r(p) be the first derivative of a(p). Solve r(n) = 0 for n.
0
Let n be -8 + 147/14 - 2/(-4). Let b(o) be the first derivative of 3/5*o**5 - 3*o**4 - 2 - 6*o**2 + n*o + 6*o**3. Factor b(z).
3*(z - 1)**4
Let f be (60/(-105))/(48/(-294)). Let l(b) be the first derivative of -f*b**4 + 7*b**2 - 6 + 4*b - 4/3*b**3. What is v in l(v) = 0?
-1, -2/7, 1
Let u(k) be the second derivative of k**4/4 + 117*k**3/2 - 177*k**2 - 627*k. Suppose u(d) = 0. Calculate d.
-118, 1
Let x = 337 - 335. Let a(h) be the second derivative of 0*h**x - 1/18*h**4 + 0 - 2*h + 1/3*h**3. Find c such that a(c) = 0.
0, 3
Let h(p) = 3*p**2 + 3*p + 7. Let f(b) = 2*b**2 + 2*b + 3. Let w(r) = 5*f(r) - 3*h(r). Find x such that w(x) = 0.
-3, 2
Let z(y) be the third derivative of 0*y + 4/3*y**3 + 1/30*y**5 + 1/3*y**4 + 8*y**2 + 0. Factor z(w).
2*(w + 2)**2
Let p(g) be the third derivative of -g**6/120 + 7*g**5/20 - 19*g**4/12 - 32*g**2 - 4*g. Factor p(n).
-n*(n - 19)*(n - 2)
Let t = 22 - 10. Determine g, given that -10 + 4*g**2 + g**2 + t*g - 7*g = 0.
-2, 1
Let l(q) = q**2 - 11*q + 13. Let z be l(10). Factor -1/5*i**z + 0*i**2 + 0 + 1/5*i.
-i*(i - 1)*(i + 1)/5
Let j be 1257/(-1263) - 2*2/(-4). Let i = j - -5884/2105. Factor 0 - 8/5*v + i*v**3 - 24/5*v**2.
2*v*(v - 2)*(7*v + 2)/5
Let f(m) = -m**2 - m - 2. Let a be (0 + 1)/(13/13). Let g(k) = -30*k**2 - 20. Let y(v) = a*g(v) - 25*f(v). Solve y(j) = 0 for j.
-1, 6
Let t(d) be the second derivative of d**8/3360 + d**7/420 + d**6/144 + d**5/120 + 9*d**3/2 - 5*d. Let a(b) be the second derivative of t(b). Factor a(g).
g*(g + 1)**2*(g + 2)/2
Let x(p) = -4*p**5 - 5*p**4 + 5*p**3 + 6*p**2 - 6*p. Let t(c) = 9*c**5 + 11*c**4 - 11*c**3 - 1