 be (0/(-8))/(-1 + h). Factor -1/2*p**4 + 0 + z*p - 2*p**2 + 5/2*p**3.
-p**2*(p - 4)*(p - 1)/2
Factor -30*j**4 - 55*j**3 + 617 - 10*j**2 - 5*j**5 + 679 - 1256 + 60*j.
-5*(j - 1)*(j + 1)*(j + 2)**3
Let s(c) be the first derivative of -5*c**6/6 + 65*c**5 + 345*c**4/4 - 965*c**3/3 - 820*c**2 - 660*c + 471. Find q such that s(q) = 0.
-1, 2, 66
Let b = -1281/46 - -652/23. Factor -1/4*u**4 + 1/4*u**2 + 0 - b*u + 1/2*u**3.
-u*(u - 2)*(u - 1)*(u + 1)/4
Let s(r) be the third derivative of r**7/105 + r**6/5 - 9*r**5/10 + 7*r**4/6 + 178*r**2 + 2*r. Factor s(v).
2*v*(v - 1)**2*(v + 14)
Let l(g) be the third derivative of g**9/60480 + g**8/10080 - g**7/1008 - g**6/120 - 2*g**5/15 - 8*g**2. Let f(o) be the third derivative of l(o). Factor f(c).
(c - 2)*(c + 1)*(c + 3)
Suppose 4*u - 7 = u + 5*p, 3*p = 3*u - 9. Determine c so that 5*c**2 - c**2 - 10*c**3 + 110*c**5 - 108*c**5 + u*c**3 = 0.
-2, 0, 1
Factor 24*x**2 + 11*x**5 - 14*x**5 + 9*x - 17*x**4 + 18*x**3 + 17*x**4.
-3*x*(x - 3)*(x + 1)**3
Let l(g) = -2*g**2 - 46*g. Let y(z) = z**2 + 31*z. Let f(i) = 5*l(i) + 8*y(i). Determine r, given that f(r) = 0.
0, 9
Let x(o) be the second derivative of o**7/21 + 14*o**6/15 + 13*o**5/10 + 2*o - 29. Determine l so that x(l) = 0.
-13, -1, 0
Let n = 11677/5 + -2332. Suppose -n*l**2 - 3/5*l + 0 - 29/5*l**3 - 3*l**4 = 0. What is l?
-1, -3/5, -1/3, 0
Let g(k) be the first derivative of 2*k**6/15 - 7*k**5/15 + k**4/3 + 2*k**3/3 + 15*k**2/2 - 38. Let d(a) be the second derivative of g(a). Solve d(f) = 0.
-1/4, 1
Let h = 79/82 + -19/41. Let m(n) be the first derivative of -h*n**2 - 13 + 0*n - 1/9*n**3. Let m(p) = 0. Calculate p.
-3, 0
Let 222/5*m + 654/5*m**3 - 9/5*m**4 + 0 + 177*m**2 = 0. Calculate m.
-1, -1/3, 0, 74
Suppose -39*a + 7 = -38*a. Factor 8*y**2 + 4*y**3 - 7*y**3 + a*y**3.
4*y**2*(y + 2)
Let x(g) = -g**3 + 19*g**2 + 20*g + 3. Let k be x(20). Let c be (2/(-14))/((-3)/21*6). Factor 1/6*w + 1/3*w**2 + c*w**k + 0.
w*(w + 1)**2/6
Let q(k) be the third derivative of k**5/300 - k**4/20 + 3*k**3/10 - 103*k**2. Factor q(o).
(o - 3)**2/5
Let x(w) be the second derivative of -w**10/2240 - 13*w**9/3360 - w**8/112 - w**7/140 + 7*w**4/12 - 33*w. Let k(c) be the third derivative of x(c). Factor k(n).
-3*n**2*(n + 3)*(3*n + 2)**2/2
Suppose 4*s + 1 = 3*s. Let o = 16 + -14. Let d(z) = -z**2 + z. Let p(i) = -i**2 + 8*i + 9. Let t(x) = o*d(x) + s*p(x). Solve t(n) = 0 for n.
-3
Let z(a) be the second derivative of -a**4/30 + 40*a**3/3 - 2000*a**2 - 54*a. Solve z(g) = 0.
100
Factor 10*f + f**4 + 14*f + 13*f + 4*f**3 - 47*f - 3*f**2 + 8.
(f - 1)**2*(f + 2)*(f + 4)
Determine r so that -6*r**3 + 27/2 - 159/4*r**2 - 81/4*r = 0.
-6, -1, 3/8
Let 16*c**2 - 4*c**4 - 29*c + 135*c - 8*c**3 - 51*c - 23*c = 0. What is c?
-2, 0, 2
Let i(j) be the third derivative of -j**5/12 - 5*j**4/12 - 14*j**2 + 4. Factor i(h).
-5*h*(h + 2)
Suppose 4*l = -24 + 12. Let a be (-4)/(-6)*l*(-2)/12. Find n such that 1/3*n**2 - 1/3 + 1/3*n**3 - a*n = 0.
-1, 1
Let v(j) be the second derivative of -j**5/120 + j**4/72 + j**3/18 + 31*j. Solve v(u) = 0.
-1, 0, 2
Find m, given that -67/4*m + 17/2 + 1/4*m**3 + 8*m**2 = 0.
-34, 1
Let y = -370 - -376. Let h(b) be the first derivative of -2/13*b**2 - y + 1/26*b**4 + 0*b + 2/39*b**3. Determine z, given that h(z) = 0.
-2, 0, 1
Let g(j) be the first derivative of -1/7*j**2 - 2/7*j**3 + 7 + 1/14*j**4 + 4/7*j + 2/35*j**5. Factor g(l).
2*(l - 1)**2*(l + 1)*(l + 2)/7
Let t be (1/((-4)/20))/(-1). Factor -750*r**2 - 40 - 725*r**3 - 169*r**4 - 131*r**4 - 45*r**t - 143*r - 157*r.
-5*(r + 2)**3*(3*r + 1)**2
Let c(r) = r**3 - 22*r**2 + 21*r + 2. Let u be c(21). Factor 7 + 3 - 5*a - 3*a**u - 2*a**2 + 0*a**2.
-5*(a - 1)*(a + 2)
Let f be 9353/(-2350) + -1 + 5. Let n(z) be the second derivative of 1/5*z**2 - f*z**5 + 3*z - 1/30*z**4 + 1/15*z**3 + 0. Determine t, given that n(t) = 0.
-1, 1
Let w(n) be the second derivative of n**6/165 - 21*n**5/110 + 74*n**4/33 - 128*n**3/11 + 256*n**2/11 + 12*n - 2. Suppose w(x) = 0. Calculate x.
1, 4, 8
Let k = -32 + 43. Suppose 0 = -k*x + 3*x + 448. Solve 5 + 33*p**4 - x*p**4 - 10*p**2 + 28*p**4 = 0.
-1, 1
Let y(l) = l**5 + l**4 - l**3 + l**2 + 1. Let j(f) = 6*f**5 + 34*f**4 - 10*f**3 - 118*f**2 + 10. Let r(k) = j(k) - 10*y(k). Find d such that r(d) = 0.
-2, 0, 4
Let y = -247 - -96. Let l = y - -303/2. Determine z, given that l*z**5 + z**2 - 1/2*z**4 + 1/2*z - 1/2 - z**3 = 0.
-1, 1
Let i(l) be the second derivative of 2*l**4/27 - 11*l**3/27 - l**2/3 + 9*l + 1. Factor i(c).
2*(c - 3)*(4*c + 1)/9
Let 148/9*q**2 + 74/9*q**3 + 0 + 10/9*q**4 + 16/3*q = 0. What is q?
-4, -3, -2/5, 0
Let l = 370/3 - 368/3. Let n(i) be the third derivative of 7*i**2 - 1/3*i**4 + 0 + 0*i - 2/105*i**7 + 0*i**5 + l*i**3 + 1/15*i**6. Determine o so that n(o) = 0.
-1, 1
Let v(p) be the first derivative of -p**6/24 + 3*p**5/20 + 7*p**4/16 - 11*p**3/12 - 3*p**2/4 + 2*p - 195. Solve v(i) = 0.
-2, -1, 1, 4
Let p(f) = -f**2 + 25*f - 22. Let g be p(24). Let v(i) be the first derivative of -1/5*i**g - 4/5*i + 4/15*i**3 + 1/10*i**4 + 4. Factor v(c).
2*(c - 1)*(c + 1)*(c + 2)/5
Suppose -4*n - 7*c = -4*c + 288, 5*n + 3*c = -363. Let l = 526/7 + n. Let 3/7*o**4 + 0 - l*o**5 + 1/7*o**3 + 0*o - 3/7*o**2 = 0. What is o?
-1, 0, 1, 3
Let x(v) = 2*v - 2. Let p(o) = 63*o**3 + 153*o**2 + 38*o + 22. Let r(m) = 4*p(m) + 36*x(m). Suppose r(f) = 0. Calculate f.
-2, -1/3, -2/21
Let s(x) be the third derivative of -1/30*x**6 + 1/8*x**4 + 1/105*x**7 + 0*x + 46*x**2 + 1/336*x**8 - 1/30*x**5 + 0*x**3 + 0. Find g, given that s(g) = 0.
-3, -1, 0, 1
Let z(m) = -m + 6. Let y be z(3). Let w be (-9)/y + 5 + 1. Factor 5*s**w - 9*s**2 + s**3 + 4*s**4 + 2*s**4 - 7*s**4.
-s**2*(s - 3)**2
Let b(h) be the third derivative of -h**5/60 + h**4/24 + 2*h**3 - 2*h**2 - 23. Let b(y) = 0. Calculate y.
-3, 4
Factor k**3 - 1/3*k**2 + 16/3 - 16*k.
(k - 4)*(k + 4)*(3*k - 1)/3
Let u(d) = 18*d - 1 - 4*d**2 + 2 - 13*d. Let r(b) = -b**2 + b + 1. Let k(p) = -20*r(p) + 4*u(p). Factor k(o).
4*(o - 2)*(o + 2)
Let a(d) = d**2 + 29*d - 132. Let t be a(4). Determine h, given that -3/7*h - 9/7*h**2 - 3/7*h**4 + t - 9/7*h**3 = 0.
-1, 0
Let c(g) be the first derivative of 2*g**6/15 - 8*g**5/5 + 16*g**4/3 - 8*g - 10. Let y(j) be the first derivative of c(j). Let y(m) = 0. Calculate m.
0, 4
Let m = -31877/3 + 10626. Let c be 4/6*(-27)/(-6). Determine k so that k - m - k**2 + 1/3*k**c = 0.
1
Let p(m) be the second derivative of -3*m**6/10 + 33*m**5/35 - m**4/7 - 117*m. Factor p(v).
-3*v**2*(v - 2)*(21*v - 2)/7
Let r be (4/(-8))/(6/(-24)). Let i(t) be the third derivative of 2/27*t**3 + 6*t**r + 1/270*t**5 + 0*t + 0 + 1/36*t**4. Factor i(w).
2*(w + 1)*(w + 2)/9
Let x be (-352)/(-112) + 15/(-5). Factor -1/7*r**4 + 0 + 0*r**3 + x*r**2 + 0*r.
-r**2*(r - 1)*(r + 1)/7
Let p = -1 - -7/3. Let q be 22/143 + 1140/702. Factor -2/9*u**3 - 8/3*u - p*u**2 - q.
-2*(u + 2)**3/9
Let q(l) = -2119*l**3 - 273*l**2 - 15*l. Let b(j) = -4239*j**3 - 545*j**2 - 32*j. Let o(g) = 3*b(g) - 7*q(g). Let o(w) = 0. What is w?
-3/46, 0
Let l = -3/1390 - -2789/4170. Let -4*j**3 + 8*j**2 - 20/3*j + 2 + l*j**4 = 0. Calculate j.
1, 3
Let l = 13 + -11. Suppose -2*d - 3*m = -21, 0 = l*d - 5*d - 3*m + 24. Determine n so that n**3 - 2*n**d - 2 + 3*n - 2*n - 3*n**4 + 5*n**2 = 0.
-1, 2/3, 1
Let v(z) be the first derivative of -z**5/10 - z**4/8 + 5*z**3/3 - 2*z**2 - 1. Determine y so that v(y) = 0.
-4, 0, 1, 2
Let b = 37621 + -37621. Factor 1/3 + b*z - 1/3*z**2.
-(z - 1)*(z + 1)/3
Let v be (-1288)/1127 - (-223)/140. Let g(i) be the second derivative of 1/10*i**6 + 0 - 10*i - 2*i**3 + 0*i**2 + v*i**5 + 0*i**4. Factor g(b).
3*b*(b - 1)*(b + 2)**2
Let d(g) be the second derivative of -2*g**7/21 + 2*g**6/3 + 6*g**5/5 - 38*g**4/3 + 86*g**3/3 - 30*g**2 - 443*g. Factor d(l).
-4*(l - 5)*(l - 1)**3*(l + 3)
Let y(b) be the first derivative of -3*b**3 - 87*b**2/2 + 210*b - 50. Let y(a) = 0. Calculate a.
-35/3, 2
Suppose 30 = 5*n + 5. Suppose -4*b + 46 = n*z, 2*z + 0*b - 19 = -b. Suppose -z*h - h**2 + h + 6*h + h = 0. What is h?
-2, 0
Suppose -73 = -6*n + 71. Suppose 2*w + w = n. Determine s, given that 8*s**2 - 18*s**4 + 4 - 12*s - 3*s**5 + 6*s**4 + 7*s**5 + w*s**3 = 0.
-1, 1
Let u(w) be the third derivative of w**6/480 + w**5/8 - w**4/96 - 5*w**3/4 + 2*w**2 + 15*w. Factor u(i).
(i - 1)*(i + 1)*(i + 30)/4
