*a + 2/3 - 1/3*q**3 = 0.
1, 2
Factor -42*i**2 + 41*i**2 + i + 3*i.
-i*(i - 4)
Let d(g) be the second derivative of g**5/10 - g**4/6 - g**3/6 + 3*g**2/2 - 3*g. Let a(j) = j**3 - 2*j**2 - j + 2. Let n(v) = 3*a(v) - 2*d(v). Factor n(k).
-k*(k + 1)**2
Suppose 4*o + 0*o - 4 = 0, 2*n - 3 = 5*o. Suppose -4*a = t - n, 0*a - 3 = -3*a. Suppose t + r + 1/2*r**2 = 0. Calculate r.
-2, 0
Let y(k) be the third derivative of -k**5/15 + k**4/3 - 2*k**3/3 - 5*k**2. Suppose y(d) = 0. What is d?
1
Suppose 7*h = 2*h + 20. Let n(v) be the second derivative of 0 + 3/7*v**7 + 2/3*v**h + 0*v**3 - 2*v + 0*v**2 + 7/5*v**6 + 8/5*v**5. Solve n(y) = 0.
-1, -2/3, 0
Let d(f) be the third derivative of 0*f**3 + f**2 - 1/40*f**4 + 1/560*f**8 + 0 - 1/50*f**5 + 0*f + 0*f**6 + 1/175*f**7. Determine s so that d(s) = 0.
-1, 0, 1
Let d = -120 - -120. Factor -1/2*j**5 + 0 + 1/2*j**3 + 0*j + 0*j**2 + d*j**4.
-j**3*(j - 1)*(j + 1)/2
Let f be (-8)/1 + -5 + 15. Let t(h) = h - 1. Let a be t(4). Factor 2/9*i**5 + 0*i + 0 + 0*i**f + 2/9*i**a + 4/9*i**4.
2*i**3*(i + 1)**2/9
Let z(g) be the second derivative of g**6/210 - g**4/42 + g**2/14 + 23*g. Factor z(j).
(j - 1)**2*(j + 1)**2/7
Let x(k) be the second derivative of k**7/126 - k**6/15 + 11*k**5/60 - k**4/18 - 2*k**3/3 + 4*k**2/3 + 7*k. Solve x(a) = 0 for a.
-1, 1, 2
Let c(q) be the first derivative of 0*q**2 + 1/8*q**4 + 0*q + 6 + 1/10*q**5 + 0*q**3. Find r, given that c(r) = 0.
-1, 0
Let i(t) be the first derivative of -5*t**6/6 + 12*t**5/5 + t**4/4 - 4*t**3 + 2*t**2 + 3. Determine s, given that i(s) = 0.
-1, 0, 2/5, 1, 2
Let b be 4 - -1 - (-280)/(-60). Factor -16/3 - b*x**2 - 8/3*x.
-(x + 4)**2/3
Suppose 14 - 2 = -3*q, 10 = 3*h - q. Suppose 3*f + f - 56 = 0. Factor -6*k**h + 9*k**3 - 7*k**3 + f - 6.
2*(k - 2)**2*(k + 1)
Let i(p) be the third derivative of -p**7/280 + p**5/80 - 3*p**2. Factor i(o).
-3*o**2*(o - 1)*(o + 1)/4
Let q(n) be the second derivative of -2/3*n**3 - 1/10*n**5 + 2/3*n**2 + 1/90*n**6 + 13/36*n**4 + 0 + 2*n. Factor q(f).
(f - 2)**2*(f - 1)**2/3
Let v(k) be the first derivative of -k**5/90 + k**3/27 - 4*k + 1. Let g(o) be the first derivative of v(o). Factor g(b).
-2*b*(b - 1)*(b + 1)/9
Factor 72/5*p + 324/5*p**2 + 16/15 + 486/5*p**3.
2*(9*p + 2)**3/15
Suppose -3/11*v**4 + 4/11*v**2 + 0 + 0*v**3 + 1/11*v**5 + 0*v = 0. Calculate v.
-1, 0, 2
Let i(v) = v. Let n be i(5). Let x = n - 3. Let -d**2 - 2*d**3 - 2*d**x + 4 + 3*d**3 = 0. Calculate d.
-1, 2
Suppose -4*a = -5*o + 5, -14*o = -9*o - 5. Factor 2/3 + a*b - 2/3*b**2.
-2*(b - 1)*(b + 1)/3
Let t(s) be the third derivative of s**7/1365 + s**6/260 + s**5/130 + s**4/156 - 3*s**2. Factor t(h).
2*h*(h + 1)**3/13
Let t be 2/(-3) - (-248)/444. Let k = t - -86/111. Factor k - 5/3*l - 7/3*l**2.
-(l + 1)*(7*l - 2)/3
Let l(k) be the second derivative of k**4/24 - 2*k**3/3 + 4*k**2 + 2*k. Factor l(j).
(j - 4)**2/2
Factor 0 + 1/3*s + 1/6*s**2.
s*(s + 2)/6
Let j(o) be the first derivative of o**6/120 + o**5/30 + o**4/24 - 2*o**2 - 8. Let v(r) be the second derivative of j(r). Let v(n) = 0. Calculate n.
-1, 0
Let p = -7 - -2. Let g be 2/2 - (p + 4). Factor 2/3*u**g + 2*u**4 - 2/3*u + 10/3*u**3 + 0.
2*u*(u + 1)**2*(3*u - 1)/3
Let x = 16 - 13. Determine a, given that a**3 - 10*a - 3*a**3 - x*a**3 - 4 - 8*a**2 + 3*a**3 = 0.
-2, -1
Suppose 0*g = 3*g - 93. Suppose 41 = 3*p - g. Determine o, given that -3*o**4 + p*o + 4*o**2 - o**4 - 22*o - 2*o**5 = 0.
-1, 0, 1
Factor -4/5 - 2/5*l + 2/5*l**2.
2*(l - 2)*(l + 1)/5
Suppose y = -7*y. Let u(n) be the third derivative of -3*n**2 + y*n + 0*n**3 - 1/12*n**4 + 1/30*n**5 + 1/60*n**6 - 1/105*n**7 + 0. Solve u(h) = 0 for h.
-1, 0, 1
Let l(c) be the first derivative of 2/3*c**3 - 2/7*c**2 + 6/35*c**5 - 4/7*c**4 + 0*c + 1. Factor l(o).
2*o*(o - 1)**2*(3*o - 2)/7
Let q(t) be the second derivative of t**6/1260 - t**5/210 + t**4/84 + t**3/6 + 4*t. Let z(f) be the second derivative of q(f). Let z(n) = 0. What is n?
1
Solve -6*q - 3/2*q**2 - 9/2 = 0.
-3, -1
Suppose 1/3*i**3 - 1/3*i + 1/3 - 5/3*i**2 + 8/3*i**4 + 4/3*i**5 = 0. Calculate i.
-1, 1/2
Let 3*f**5 - 24*f**4 - 24*f**5 + 6*f**5 - 54 + 27*f + 128*f**3 + 222*f**2 + 4*f**3 = 0. Calculate f.
-3, -1, 2/5, 3
Suppose -5*i + 12 = 2*x, 2*i - 6*i - 2*x = -10. Let 1/4*l**i + 1/4*l + 0 = 0. What is l?
-1, 0
Let y be -1 + -1 - (-4 + -8). Let b(o) = -8*o**5 - 8*o**4 + 10*o + 10. Let n(k) = k**5 + k**4 - k - 1. Let p(t) = y*n(t) + b(t). Factor p(v).
2*v**4*(v + 1)
Let r(g) be the first derivative of -g**6/1260 + g**5/420 + 2*g**3/3 - 2. Let q(i) be the third derivative of r(i). Find h, given that q(h) = 0.
0, 1
Let n(o) be the first derivative of o**4/8 - o**3/3 - 3*o**2/4 + 3. Suppose n(j) = 0. What is j?
-1, 0, 3
Let q(x) be the first derivative of x**6/3 - 2*x**5/5 - x**4 + 23. Factor q(c).
2*c**3*(c - 2)*(c + 1)
Let x(j) be the third derivative of j**7/3360 - j**6/480 + j**5/240 - 2*j**3/3 - 5*j**2. Let u(i) be the first derivative of x(i). Factor u(d).
d*(d - 2)*(d - 1)/4
Let u be (13 + -9)*(-3)/(-45). Factor 2/5 - 2/15*h**2 - u*h.
-2*(h - 1)*(h + 3)/15
Factor -3/5*v - 3/5*v**4 + 0 - 9/5*v**2 - 9/5*v**3.
-3*v*(v + 1)**3/5
Let h be (-21)/(-6) + 3 + -4 + -1. Factor 0*r**3 + 0*r + 3*r**2 - h - 3/2*r**4.
-3*(r - 1)**2*(r + 1)**2/2
Let x = -436/3 + 147. Factor x*i**3 + 4/3*i - 8/3*i**2 - 1/3*i**4 + 0.
-i*(i - 2)**2*(i - 1)/3
Let k be ((-10)/20)/(30/(-4)). Let w(f) be the third derivative of 0 + 0*f + 0*f**3 + 1/60*f**6 + 1/12*f**4 - k*f**5 + 2*f**2. Factor w(t).
2*t*(t - 1)**2
Let u be (2/(-4)*-4)/(12 + -9). Solve -4/3*a**2 + 0*a + 0*a**3 + 2/3 + u*a**4 = 0 for a.
-1, 1
Factor 5/8*q**2 - 3/4*q + 1/8*q**3 + 0.
q*(q - 1)*(q + 6)/8
Factor -2/5*i**2 + 0 + 0*i - 2/5*i**5 - 6/5*i**4 - 6/5*i**3.
-2*i**2*(i + 1)**3/5
Let t(s) = 29*s**4 - 6*s**3 - 75*s**2 - 16*s + 16. Let w(d) = d**4 + d**3 + d - 1. Let y(k) = t(k) - 4*w(k). Let y(h) = 0. What is h?
-1, 2/5, 2
Let a(r) be the second derivative of -3*r**8/2240 + r**7/840 + r**6/120 + 7*r**4/12 - 3*r. Let b(u) be the third derivative of a(u). Factor b(i).
-3*i*(i - 1)*(3*i + 2)
Let s(x) be the first derivative of x**5 - 5*x**4/4 - 5*x**3 + 25*x**2/2 - 10*x - 16. Determine g, given that s(g) = 0.
-2, 1
Let s(p) be the third derivative of p**8/2240 + p**7/560 + p**6/480 - p**3/2 - 4*p**2. Let q(u) be the first derivative of s(u). Factor q(v).
3*v**2*(v + 1)**2/4
Let m be 6/(-8)*9/(18/(-8)). Determine g so that -34/9*g**m + 32/9*g**5 + 2/9 + 32/9*g**4 - 34/9*g**2 + 2/9*g = 0.
-1, -1/4, 1/4, 1
Let b be 2/(-6)*(-133)/21 - 2. Let o(p) be the first derivative of 1/12*p**4 + 0*p**2 + 0*p + 1 + b*p**3. Factor o(l).
l**2*(l + 1)/3
Let s(y) be the first derivative of y**7/420 + y**6/180 - y**5/60 - y**4/12 - y**3/3 + 1. Let g(f) be the third derivative of s(f). Factor g(l).
2*(l - 1)*(l + 1)**2
Let f(b) be the second derivative of b**5/80 - b**4/32 - b**3/4 - 5*b**2/2 + 6*b. Let y(j) be the first derivative of f(j). Determine a so that y(a) = 0.
-1, 2
Determine h so that -1/2*h**2 + 3*h - 5/2 = 0.
1, 5
Let x(w) be the second derivative of w**5/80 - w**4/48 - w**3/6 + w**2/2 - 10*w. Solve x(s) = 0.
-2, 1, 2
Let b(z) = 3*z - 9. Let y be b(3). Suppose y*x - 8/7 - 4/7*x**3 + 18/7*x**2 - 6/7*x**4 = 0. What is x?
-2, -2/3, 1
Factor 0*s + 3/7*s**4 - 3/7*s**5 + 0 - 3/7*s**2 + 3/7*s**3.
-3*s**2*(s - 1)**2*(s + 1)/7
Let v(k) be the first derivative of -k**4/6 + k**2 + 4*k/3 + 2. Let v(q) = 0. Calculate q.
-1, 2
Let r(l) = -l. Let j(n) = n**2 + n. Let s(h) = 3*h**2 - 18*h - 3. Let k(u) = 6*j(u) - s(u). Let v(g) = -k(g) - 18*r(g). Suppose v(d) = 0. Calculate d.
-1
Let j(t) be the second derivative of -t**6/50 + t**4/20 - 9*t. Solve j(q) = 0 for q.
-1, 0, 1
Let q(f) = -f**4 + f**3 - f**2 - f + 1. Let i(d) = -2*d**4 + 70*d**3 + 722*d**2 + 2658*d + 4. Let a(j) = -i(j) + 4*q(j). Suppose a(k) = 0. Calculate k.
-11, 0
Let -14*y**2 - 33*y**4 + 43*y**4 + 10*y**3 - 28*y**3 + 4 + 18*y = 0. Calculate y.
-1, -1/5, 1, 2
Let p(n) be the first derivative of n**5/30 + n**4/12 - 11*n**3/18 - n**2 + 6*n - 53. Suppose p(r) = 0. What is r?
-3, 2
Let n be (-15)/8 - -2 - 0/(-5). Let p(q) be the first derivative of -n*q**2 + 3 - 1/12*q**3 + 0*q. Factor p(y).
-y*(y + 1)/4
Let t(a) = -9*a**2 + 4*a. Let b(f) = -f + 14*f**2 - f - 4*f. Let d be (0 + 8/3)*-3. Let y(i) = d*t(i) - 5*b(i). Factor y(j).
2*j*(j - 1)
Let b be (-2)