+ 0*j + j. Let b be k(-12). Factor 15*i + 6*i**2 - 12*i**3 + 6 - 5*i**4 - b*i**4 - 3*i**5 - 3*i**4.
-3*(i - 1)*(i + 1)**3*(i + 2)
Let s = 349 + -12213/35. Let l(w) be the third derivative of 3/40*w**6 + 1/2*w**3 - 1/4*w**5 - 3/8*w**4 + s*w**7 + 0 + 0*w + w**2. Factor l(t).
3*(t - 1)*(t + 1)**2*(4*t - 1)
Suppose -3*h - 26 = 3*s + 73, -4*s + 5*h - 177 = 0. Let a = 41 + s. What is z in 1/2*z**4 + 1/2*z - z**a + 1/2 + 1/2*z**5 - z**2 = 0?
-1, 1
Solve 13/2*l**4 - 1/2*l**5 - 23*l**3 + 0 + 6*l**2 + 36*l = 0 for l.
-1, 0, 2, 6
Factor 3*d**2 + 22707 - 1249*d + 278*d + 180*d + 269*d.
3*(d - 87)**2
Factor 70 + 26 - 16 - 110*r - 215*r**2 - 32*r**3 + 7*r**3.
-5*(r + 1)*(r + 8)*(5*r - 2)
Let i be (28/48)/(3 - 3/(-12)). Let d(c) be the second derivative of 4/39*c**4 - 4*c - 3/130*c**5 + 0 - i*c**3 + 2/13*c**2. Let d(t) = 0. Calculate t.
2/3, 1
Factor -22*n**3 - n**2 + 5*n**2 + n**2 - 5*n**4 + 10*n + 7*n**3 + 5*n**5.
5*n*(n - 2)*(n - 1)*(n + 1)**2
Let h be ((-3)/(-6) + 0)*4. Factor 34 - u**2 - 34 + h*u.
-u*(u - 2)
Suppose -27 - 29 = -14*v. Suppose -13 = -v*d - 5*u, -3*d + d - 5*u = -9. Let -4/9 + 2/9*x + 14/3*x**d = 0. Calculate x.
-1/3, 2/7
Factor 0*w**2 - 1/2*w**3 + 0*w - 1/2*w**4 + 0.
-w**3*(w + 1)/2
Suppose -35*p = -270*p + 940. Determine o so that 9/2*o + 63*o**p + 0 + 78*o**3 + 27/2*o**5 + 33*o**2 = 0.
-3, -1, -1/3, 0
Let b(v) = 10*v**4 - 32*v**3 + 38*v**2 - 13*v. Let o(s) = s**5 - s**4 + s**3 + s**2 + s. Let z(a) = -b(a) + o(a). Determine x so that z(x) = 0.
0, 1, 2, 7
Let i = 30680 + -30677. Determine g, given that -1/3*g**4 + g**2 - 2/3*g + 0 + 0*g**i = 0.
-2, 0, 1
Suppose -5*f = -0*f. Let c(h) be the first derivative of 4*h**4 + h**2 + f*h + 1 + 7/5*h**5 + 11/3*h**3. Solve c(o) = 0 for o.
-1, -2/7, 0
Suppose 0 = -j - 5*i - 17, -3*j - 4*i + 4 - 11 = 0. Find w, given that 46*w**j - w**2 - 57*w**4 - 2*w**2 + 0*w**2 - w**3 + 21*w**5 - 6*w = 0.
-2/7, 0, 1
Let h(i) be the second derivative of 2*i**7/21 - 2*i**6/15 - 3*i**5/5 + i**4/3 + 4*i**3/3 - 20*i + 6. Factor h(g).
4*g*(g - 2)*(g - 1)*(g + 1)**2
Let h(d) = 7*d**5 + 89*d**4 + 649*d**3 + 1444*d**2 + 1283*d + 397. Let w(f) = -f**5 + f**4 + f**3 - f + 1. Let i(u) = h(u) + 3*w(u). Let i(o) = 0. What is o?
-10, -1
Suppose 29*b - 26*b = 18. Find v, given that -12*v + 60 + b*v**3 + 15*v**4 - 124 + 6*v**5 - 12*v**2 + 61 = 0.
-1, -1/2, 1
Factor -27/2*x**2 + 0 - 1/4*x**3 - 729/4*x.
-x*(x + 27)**2/4
Suppose -7*p - 12 = -3*p, -3*r + 5*p + 15 = 0. Let b be 3 + r - (9 + -8). Factor -o**b - 49 + 49 - 4*o.
-o*(o + 4)
Find s such that -189*s**4 + 34*s - 379*s**3 + 145*s**3 - 39*s**2 - 28*s = 0.
-1, -1/3, 0, 2/21
Let p be (2 - (208/8 + -10))/(-4). Suppose 2*u**4 - p*u**3 - u**2 + 0 + 0*u = 0. Calculate u.
-1/4, 0, 2
What is h in 2/7*h**2 - 8/7*h + 0 = 0?
0, 4
Let d(c) be the second derivative of c**6/75 - 2*c**5/25 + c**4/6 - 2*c**3/15 + 2*c - 20. Factor d(n).
2*n*(n - 2)*(n - 1)**2/5
Let c = 241 - 239. Let y(d) be the first derivative of 3/5*d**5 + 0*d + 0*d**4 + 0*d**3 + 4 + 0*d**c. Determine n so that y(n) = 0.
0
Let k(s) be the first derivative of -3 - 1/32*s**4 - 1/8*s**2 + 0*s - 1/8*s**3. Factor k(d).
-d*(d + 1)*(d + 2)/8
Let q = -22 + 27. Suppose 3*c = 1 + 5. Let -c*p - 12*p**2 + 9*p**4 - 16*p**3 - 7*p**4 + 10*p**4 + 18*p**q = 0. Calculate p.
-1, -1/3, 0, 1
Let k(m) = -21*m**2 + 357*m + 688. Let i(x) = 26*x**2 - 358*x - 688. Let z(s) = 5*i(s) + 6*k(s). What is q in z(q) = 0?
-86, -2
Let a(p) = -5*p - 62. Let u be a(-31). Let g be u/15 - 5 - 0. Solve -2/5*w**3 - 6/5*w - g*w**2 - 2/5 = 0.
-1
Suppose -31*r + 29*r = -x + 12, 15 = 5*x - r. Let 5/3*o**4 - 20*o - 10*o**3 + 20/3 + 65/3*o**x = 0. Calculate o.
1, 2
Let i(f) be the second derivative of -3*f**7/14 + 79*f**6/10 - 1013*f**5/10 + 855*f**4/2 + 1377*f**3/2 + 729*f**2/2 + 13*f - 5. Solve i(w) = 0 for w.
-1/3, 9
Let t(n) = 7*n**3 + 143*n**2 - 305*n + 157. Let x(w) = 190*w**3 + 3860*w**2 - 8235*w + 4240. Let p(k) = 55*t(k) - 2*x(k). Factor p(b).
5*(b - 1)**2*(b + 31)
Let d(o) be the second derivative of -o**4/12 + o**3/2 + o**2 - o. Let h be d(3). Factor 29*p - 35*p + 0 + h*p**2 + 4.
2*(p - 2)*(p - 1)
Let n(u) be the first derivative of u**6/30 + 3*u**5/20 + 6*u - 22. Let q(a) be the first derivative of n(a). Determine g, given that q(g) = 0.
-3, 0
Suppose 9*l - 3*l = 12. Let x + 0 + 5*x + 3 + 4*x**l - x**2 = 0. Calculate x.
-1
Let g(u) = 2*u**3 - u + 1. Let i(t) = 36*t**3 - 48*t**2 + 128*t - 112. Let c(l) = 16*g(l) - i(l). Factor c(v).
-4*(v - 8)*(v - 2)**2
Suppose 2026*y = 2033*y. Let j(m) be the third derivative of -10*m**2 - 1/15*m**3 + y*m + 1/120*m**4 + 1/300*m**5 + 0. Factor j(x).
(x - 1)*(x + 2)/5
Let x(q) = q**2 - 9*q. Suppose -3*z + 4*t + 58 = 9*t, -5*z = 4*t - 114. Let g(k) = -4*k**2 + 36*k. Let a(b) = z*x(b) + 6*g(b). Determine c so that a(c) = 0.
0, 9
Let d(q) = 3*q**3 - 4*q**2 - 6*q + 8. Let f be d(2). Let g(i) be the first derivative of -1/5*i**5 + 1/12*i**f + 0*i**2 + 2 + 0*i**3 + 0*i. Factor g(z).
-z**3*(3*z - 1)/3
Let n(i) be the first derivative of 2*i - 1/2*i**2 - 1/3*i**3 + 2. Factor n(o).
-(o - 1)*(o + 2)
Suppose 2400*f - 226*f**2 + 106*f**2 + 5623 - 21623 + 2*f**3 = 0. Calculate f.
20
Factor -5/2*w**2 - 59/2*w + 6.
-(w + 12)*(5*w - 1)/2
Let f(s) = -3*s - 36. Let n be f(-12). Let l(h) be the second derivative of 1/96*h**4 + 0 + n*h**2 - 1/24*h**3 - h. Solve l(o) = 0 for o.
0, 2
Let k = 2516 - 2513. Factor -3/2*i**4 + 0 - 15/2*i**k - 6*i - 12*i**2.
-3*i*(i + 1)*(i + 2)**2/2
Let -11/2*g**3 - 1/2*g**5 - g**2 - 9/4 + 6*g + 13/4*g**4 = 0. Calculate g.
-1, 1/2, 1, 3
Let u(p) be the second derivative of p**6/120 - p**5/120 - 7*p**4/48 + 4*p**3/9 - p**2/2 + 2*p + 135. Suppose u(n) = 0. What is n?
-3, 2/3, 1, 2
Let g(z) = z**4 + 2*z**3 + z**2 + z - 1. Let s(d) = -10*d**4 + 95*d**2 + 115*d + 5. Let i(p) = -5*g(p) - s(p). Find n, given that i(n) = 0.
-2, 0, 6
Factor 22/5*c**3 + 1/5*c**2 + 0*c + 0.
c**2*(22*c + 1)/5
Let l(m) be the first derivative of m**7/420 - m**6/180 - m**5/60 + m**4/12 - m**3 + 10. Let v(j) be the third derivative of l(j). Factor v(s).
2*(s - 1)**2*(s + 1)
Let i be (20/8 - 3)*-12. Solve 11*l**4 + 5*l**2 - 3*l**2 - i - 8*l**4 - 9*l**3 + 9*l + l**2 = 0 for l.
-1, 1, 2
Let f be 5 + (-6)/9*-3. Factor 12 + 156*n + 4*n**2 + f*n**2 + 4*n**2 - 120*n.
3*(n + 2)*(5*n + 2)
Let b(j) be the first derivative of j**7/840 + j**6/240 + j**5/240 - 14*j**2 - 7. Let z(x) be the second derivative of b(x). Factor z(t).
t**2*(t + 1)**2/4
Let v(u) be the first derivative of 1/240*u**6 - 1/40*u**5 + 1 + 0*u**2 + 1/16*u**4 - u**3 + 0*u. Let f(x) be the third derivative of v(x). Factor f(z).
3*(z - 1)**2/2
Suppose -26*z + 110 = -4*z. Let l(f) be the third derivative of 0*f**3 - 1/30*f**z - 1/12*f**4 + 2*f**2 + 0*f + 0. What is w in l(w) = 0?
-1, 0
Let u(k) = -15*k + 31 + 3*k**2 + 0*k**2 - 3*k**2 + k**2. Let h be u(13). Factor 6*g**4 + 6*g**4 - g**2 - 16*g**4 - 4*g**h + 5*g**2 + 4*g**3.
-4*g**2*(g - 1)*(g + 1)**2
Let v = -15/34 - -47/68. Let h(n) be the first derivative of 7 + 4/3*n**3 + v*n**4 - 1/5*n**5 + 7/4*n**2 - 1/12*n**6 + n. Let h(f) = 0. What is f?
-1, 2
Let r(p) be the first derivative of -32/45*p**3 + 13/30*p**4 - 14 - 13/15*p**2 - 4/15*p + 12/25*p**5. Solve r(n) = 0 for n.
-1, -1/2, -2/9, 1
Factor -61*z - 4*z**2 - 6*z**2 + 62*z**3 - 107*z**3 + 241*z - 10*z**2 + 80.
-5*(z - 2)*(z + 2)*(9*z + 4)
Let z be (-4)/(-5) - (-4)/(-10). Let m = -250 + 252. Find y such that 1/5*y**m - 1/5*y - z = 0.
-1, 2
Let s be (-13)/(-13)*1/3. Let d(n) be the first derivative of 2 - s*n**6 + 0*n**5 - 3*n**2 + 4*n - 4/3*n**3 + 2*n**4. Solve d(w) = 0 for w.
-2, -1, 1
Let v(q) = 40*q**3 - 786*q**2 + 25361*q + 26136. Let j(o) = 14*o**3 - 262*o**2 + 8454*o + 8712. Let h(y) = 17*j(y) - 6*v(y). Suppose h(k) = 0. What is k?
-1, 66
Let k(c) be the first derivative of 2*c**5/25 - 21*c**4/10 + 26*c**3/5 - 19*c**2/5 + 76. Let k(n) = 0. Calculate n.
0, 1, 19
Factor -2 - 504*n + 0*n**2 + 510*n - 6*n**2 - 2*n**3 + 4*n**3.
2*(n - 1)**3
Let g(s) be the second derivative of -1/4*s**4 + 0 - 15*s**2 + 11/2*s**3 - 30*s. Factor g(c).
-3*(c - 10)*(c - 1)
Let w(l) = l**2 - 6*l - 2. Suppose -43 = -4*u + 5*y, -y - 15 = 4*y. Let q be w(u). What is t in 0 + 0*t - 10*t**q + 32/5*t**3 - 8/5*t**2 - 2*t**4 = 0?
-1, 0, 2/5
Let x(a) = 3*a**2 + 2*a + 9. Let g(z) = -z**2 - 1. Let q(r) = -r**2 + 1. Let m b