+ a**n - 2*a**4 + 2*a**5 + 2*a**2.
-a*(a - 1)*(a + 1)**3
Let f = 12 - 23/2. Let j(p) be the first derivative of 1/6*p**6 - 1/2*p**4 + 2/3*p**3 - 1 - 1/5*p**5 - p + f*p**2. Find r, given that j(r) = 0.
-1, 1
Factor -9/7 + 3/7*f**2 - 6/7*f.
3*(f - 3)*(f + 1)/7
Let a(p) be the third derivative of 4*p**2 - 1/21*p**3 + 0*p + 0 - 1/420*p**6 - 1/28*p**4 - 1/70*p**5. Solve a(c) = 0 for c.
-1
Let r be 158190/(-550) + 2/(-11). Let t = 289 + r. Find v such that -2/5*v**5 - 4/5*v**3 - 2/5 + 6/5*v - 4/5*v**2 + t*v**4 = 0.
-1, 1
Let r(k) be the third derivative of 2*k**7/105 - 5*k**2. Factor r(j).
4*j**4
Let w(p) be the second derivative of p**5/4 + 5*p**4/6 + 5*p**3/6 + 12*p. Find z such that w(z) = 0.
-1, 0
Let s(r) be the second derivative of -5/21*r**3 - 1/70*r**5 + 2/21*r**4 + 0 + 2/7*r**2 + 3*r. Find f such that s(f) = 0.
1, 2
Let r be 10/25 - (-16)/10. Let k(q) be the first derivative of -1/4*q**4 + 0*q**3 + 1/2*q**2 - r + 0*q. Factor k(u).
-u*(u - 1)*(u + 1)
Let j(c) be the third derivative of -121*c**5/100 + 11*c**4/10 - 2*c**3/5 - 19*c**2. Let j(l) = 0. Calculate l.
2/11
Let n = 8 - 4. Factor 2*b**3 - 3*b**2 + b**n - 4 - 2*b - 3*b - 3*b + 0*b**3.
(b - 2)*(b + 1)**2*(b + 2)
Let -16*h + 2*h**2 - 8*h + 18 - 2*h + 38*h = 0. Calculate h.
-3
Let 12*d**4 + 225*d**2 - 2 - 3*d**3 + 2*d**3 - 235*d**2 - 3*d**3 + 9*d - 5*d**5 = 0. What is d?
-1, 2/5, 1
Let q be (-88)/(-24) + (-4)/6. Find u such that 1 + 8*u**3 + 3*u - 5*u**3 - 7*u**q = 0.
-1/2, 1
Let d = -8 + 10. Solve -2*v**4 - d + 2 - 2*v**3 = 0.
-1, 0
Let w(m) = -9*m**2 - 28*m - 16. Let l(x) = 36*x**2 + 111*x + 63. Let c = 25 + -10. Let p(u) = c*w(u) + 4*l(u). Determine r so that p(r) = 0.
-2, -2/3
Let q be (-238)/(-26) + (-2)/13. What is r in -18 - q*r**2 + 7*r**2 + 0*r**2 + 12*r = 0?
3
Let y(v) be the second derivative of v**5/5 + 4*v**4/3 + 8*v**3/3 - 4*v. Factor y(a).
4*a*(a + 2)**2
Let z(s) = -9*s - 5. Let d be z(-5). Let v = -119/3 + d. Find u, given that -2/3*u - v*u**2 + 0 = 0.
-2, 0
Let u(q) be the third derivative of 2*q**7/525 - 2*q**5/25 - 4*q**4/15 - 2*q**3/5 - q**2. Solve u(z) = 0 for z.
-1, 3
Let z(c) be the first derivative of -c**3/3 - c**2 - 38. What is g in z(g) = 0?
-2, 0
Let y(t) be the third derivative of t**7/210 + t**6/120 - t**5/10 - t**4/6 + 4*t**3/3 - 50*t**2. Let y(a) = 0. Calculate a.
-2, 1, 2
Let i(y) = -6*y**2 - 8*y. Let w(t) = -t**2 - t - 1. Let n(a) = -2*i(a) + 4*w(a). Let p(c) = 9*c**2 + 13*c - 4. Let b(x) = -3*n(x) + 2*p(x). Solve b(r) = 0.
-2, 1/3
Let z be (16/28)/(0 - (-1)/8). What is i in 2/7*i**2 + 2/7 + 48/7*i**3 + z*i**4 - 12/7*i = 0?
-1, 1/4
Factor 2/3*m**3 + 2*m + 2*m**2 + 2/3.
2*(m + 1)**3/3
Let z(p) = -p**2 + 10*p + 4. Let v be (1*-3)/((-2)/6). Let b be z(v). Factor -20*c**2 - 4*c - 29*c**3 + b*c**5 + 8*c**3 + 20*c**4 + 12*c**5.
c*(c - 1)*(c + 1)*(5*c + 2)**2
Let t(v) = v**4 - v**3 - v**2 - 1. Let l(u) = 4*u**3 - 2*u + 2. Let w be 3*(0 + 2/3). Let k(b) = w*t(b) + l(b). Factor k(j).
2*j*(j - 1)*(j + 1)**2
Let f be (2/(20/1))/((-4)/(-30)). Find m, given that -3/4*m - 1/4 - 1/4*m**3 - f*m**2 = 0.
-1
Let d(w) = -2*w**2 - w. Let o(v) = -6*v**2 - 2*v - 2. Let j(y) = 6*y**2 + y + 3. Let l(x) = 2*j(x) + 3*o(x). Let t(a) = 10*d(a) - 3*l(a). Factor t(n).
-2*n*(n - 1)
Suppose 0 = 3*m + 5*m - 8. Let t(u) be the first derivative of m - 1/2*u - 1/8*u**4 - 3/4*u**2 - 1/2*u**3. Factor t(k).
-(k + 1)**3/2
Suppose 2*t + 3 = 7. Let w be (5/(-15))/(t/(-12)). Suppose u + 3*u**2 + w*u - u**2 - 5*u = 0. What is u?
0, 1
Factor 21/2*a**2 - 6 - 18*a.
3*(a - 2)*(7*a + 2)/2
Determine w, given that 0 - 15/4*w**2 - 3*w**3 - 3/2*w - 3/4*w**4 = 0.
-2, -1, 0
Let i(x) be the third derivative of 1/18*x**3 + 0*x - 5*x**2 - 7/180*x**5 - 1/36*x**4 - 1/90*x**6 + 0. Solve i(f) = 0.
-1, 1/4
Let r(h) be the second derivative of -h**5/30 - h**4/6 - h**3/3 - h**2/3 - 6*h. Factor r(b).
-2*(b + 1)**3/3
Let x(f) be the second derivative of f**7/56 + 11*f**6/120 + 7*f**5/40 + f**4/8 - f**3/24 - f**2/8 - 5*f. Solve x(l) = 0 for l.
-1, 1/3
Suppose -72*k = -68*k - 8. Factor 0 + 1/4*t**3 - 1/4*t**5 + 0*t - 1/4*t**4 + 1/4*t**k.
-t**2*(t - 1)*(t + 1)**2/4
Find m such that 9*m**2 + 5*m + 0*m - 11*m - 3*m**4 = 0.
-2, 0, 1
Let g(w) be the second derivative of -w**4/4 - w**3 + 9*w**2/2 - 30*w. Let g(j) = 0. What is j?
-3, 1
Let w(j) be the second derivative of j**6/360 - j**4/24 - j**3/3 - 2*j. Let u(n) be the second derivative of w(n). Determine d so that u(d) = 0.
-1, 1
Let s = -1 - -2. Let g = 11 + -10. Solve -h**5 + h**3 - s + g = 0.
-1, 0, 1
Factor -18/7*o + 72/7*o**3 - 3/7*o**2 - 3/7 - 48/7*o**4.
-3*(o - 1)**2*(4*o + 1)**2/7
Let v be 30/(-36) + 2/(-4)*-2. Determine c so that 1/6*c**4 + 1/6*c + v + 1/6*c**5 - 1/3*c**3 - 1/3*c**2 = 0.
-1, 1
Let y(a) be the second derivative of a**6/15 - a**5/5 + 18*a. Factor y(i).
2*i**3*(i - 2)
Suppose -5*q = -2*q - 3. Let a(k) be the first derivative of q - 1/2*k**2 - 1/3*k**3 + 0*k. Find m such that a(m) = 0.
-1, 0
Let r(q) be the first derivative of -q**7/1680 + q**6/180 - q**5/48 + q**4/24 - 2*q**3 - 4. Let n(k) be the third derivative of r(k). Let n(v) = 0. What is v?
1, 2
Let r be (-21)/(-56)*16 - (5 - 1). Factor 1/4*c**4 + 1/4 - c**3 - c + 3/2*c**r.
(c - 1)**4/4
Let h(k) be the second derivative of -k**6/10 - 3*k**5/4 - 9*k**4/4 - 7*k**3/2 - 3*k**2 + k. Determine p so that h(p) = 0.
-2, -1
Suppose -15 = 8*p - 15. Let m(s) be the second derivative of 0*s**3 + 1/15*s**6 + 0*s**2 - 1/21*s**7 - 4*s - 1/6*s**4 + 1/10*s**5 + p. Factor m(l).
-2*l**2*(l - 1)**2*(l + 1)
Let u(x) be the first derivative of -2*x**3/9 - x**2/3 + 4*x/3 - 1. Find q, given that u(q) = 0.
-2, 1
Let y be -5 + (-63)/(-9 - 0). Factor -10/3*q - 4/9 - 26/9*q**y.
-2*(q + 1)*(13*q + 2)/9
Let m = -2/3 + 7/6. What is o in 0*o**2 - m*o**3 + 1/2*o + 0 = 0?
-1, 0, 1
Let d(a) = 2*a**2 + 4*a - 1. Let g be d(-3). Let r(w) = -4*w**2 + 2*w. Let v(j) = 4*j**2 - 2*j. Let u(i) = g*v(i) + 4*r(i). Find c, given that u(c) = 0.
0, 1/2
Suppose -2*s + 5 = 1. Suppose 24 = 3*r - 2*k, s*r - 16 = -0*k + 3*k. Determine v so that -20*v**3 - 16*v**4 + r*v**2 - 7*v**5 - 16*v**4 + 4*v**4 + 2*v**4 = 0.
-2, 0, 2/7
Let w be 8/(-2) + (-134)/(-18) + -3. Suppose -w*y + 2/9 + 2/9*y**2 = 0. What is y?
1
Suppose -3*k + 10 = 5*z, 4*k = 3*z - 0*z + 52. Let p be ((-2)/(-6))/(k/20). Let -2/3*d**2 + 2/3*d**3 - 2/3*d + p*d**4 + 0 = 0. What is d?
-1, 0, 1
Let o(h) be the second derivative of -3*h**5/20 - h**4/2 + 2*h**3 + 12*h**2 + 27*h. Let o(d) = 0. What is d?
-2, 2
Let u(w) be the first derivative of 2*w**5/25 - w**4/2 + 8*w**3/15 - 26. Suppose u(q) = 0. What is q?
0, 1, 4
Factor -2/9*b**4 + 2/3*b**2 - 4/9*b + 0 + 0*b**3.
-2*b*(b - 1)**2*(b + 2)/9
Let m = -5159/30 + 172. Let r(s) be the third derivative of 0*s**4 + 0*s + m*s**5 - 1/3*s**3 + 2*s**2 + 0. Factor r(n).
2*(n - 1)*(n + 1)
Let a(o) = 2*o**2 + 14*o + 20. Let n(v) = 4*v**2 + 9*v - v**2 + 13 - 2*v**2. Let f(u) = -5*a(u) + 8*n(u). Factor f(l).
-2*(l - 2)*(l + 1)
Suppose p**3 - 2*p + 5*p**2 - 3*p**3 - 4*p + p**2 + 2 = 0. What is p?
1
Let c(z) be the second derivative of z**7/1470 + z**6/1260 + z**3/6 - 2*z. Let n(q) be the second derivative of c(q). Let n(i) = 0. Calculate i.
-1/2, 0
Suppose -f + 2*f = 0. Suppose 14*x**3 + 3*x**5 - 17*x**3 + f*x**5 = 0. Calculate x.
-1, 0, 1
Let i(w) be the first derivative of w**5/15 + w**4/12 - w**3/9 - w**2/6 - 13. Suppose i(d) = 0. What is d?
-1, 0, 1
Let d = 13 - 9. Suppose 2*j + 4*b - 3*b = 4, -d*b - 8 = -4*j. Factor 2*p + 4*p**2 - 4 - j*p**2 + 0.
2*(p - 1)*(p + 2)
Let t(o) be the second derivative of -o**9/12096 - o**8/3360 + o**6/720 + o**5/480 + 5*o**3/6 - 3*o. Let c(z) be the second derivative of t(z). Factor c(b).
-b*(b - 1)*(b + 1)**3/4
Find a, given that -15*a + 3 + 69/4*a**2 - 21/4*a**3 = 0.
2/7, 1, 2
Let b(n) = -n**3 + 13*n**2 + 10*n + 58. Let o be b(14). Factor 10/7*h**o - 4/7*h - 8/7*h**3 + 2/7*h**4 + 0.
2*h*(h - 2)*(h - 1)**2/7
Let x(l) = l**2 - 15*l + 28. Let t be x(2). Factor 16/5*z**t - 7/5*z**4 + 0 + z**3 + 4/5*z.
-z*(z - 2)*(z + 1)*(7*z + 2)/5
Let d(f) be the second derivative of -f**6/15 + f**5/10 + f**4 - 62*f. Factor d(u).
-2*u**2*(u - 3)*(u + 2)
Let v(f) be the second derivative of f**8/10920 + 5*f**3/6 - 3*f. Let w(j) be the second derivative of v(j). Let w(b) = 0. Calculate b.
0
Suppose 2*x - 10 = -4*h, -x + 5*x = -4*h + 12. Let -1