t i be h(10). Factor 10/7*t**i + 4/7 + 2*t.
2*(t + 1)*(5*t + 2)/7
Let d(i) be the second derivative of -i**9/90720 + i**7/15120 - i**4/4 - 3*i. Let z(l) be the third derivative of d(l). Suppose z(a) = 0. What is a?
-1, 0, 1
Suppose 9/5*t**2 - 6/5*t - 3/5*t**4 + 0 + 0*t**3 = 0. Calculate t.
-2, 0, 1
Let t(r) = r**5 - 5*r**4 - r**3 + 5*r**2 - 3*r. Let h(m) = -6*m**5 + 29*m**4 + 6*m**3 - 29*m**2 + 17*m. Let p(z) = 6*h(z) + 34*t(z). Let p(a) = 0. Calculate a.
-1, 0, 1, 2
Let j(a) be the third derivative of 2*a**7/945 - a**6/270 - 4*a**5/135 + 2*a**4/27 - 12*a**2. Factor j(q).
4*q*(q - 2)*(q - 1)*(q + 2)/9
Factor 1/4*c**3 - 3/4*c**2 - 1/4 + 3/4*c.
(c - 1)**3/4
Let r(i) be the third derivative of i**10/132300 - i**9/30240 + i**8/35280 + i**7/17640 - i**5/30 + i**2. Let o(q) be the third derivative of r(q). Factor o(h).
2*h*(h - 1)**2*(4*h + 1)/7
Let m(y) be the second derivative of 0*y**4 + 1/39*y**3 + 8*y + 0 + 0*y**2 - 1/130*y**5. Solve m(x) = 0.
-1, 0, 1
Factor 1/2*c**2 + 0*c + 0.
c**2/2
Let k(b) be the first derivative of b**7/210 + b**6/60 + b**5/60 + 2*b**2 + 3. Let i(q) be the second derivative of k(q). Factor i(r).
r**2*(r + 1)**2
Let k(y) = 2*y**5 - 2*y. Let z(w) = 2*w**5 + w**4 + w**3 - w**2 - 3*w. Let v(r) = 3*k(r) - 2*z(r). Determine d, given that v(d) = 0.
-1, 0, 1
Let u(k) be the second derivative of -k**6/6 + 3*k**5/4 + 5*k**4/12 - 5*k**3/2 - 26*k + 2. Factor u(x).
-5*x*(x - 3)*(x - 1)*(x + 1)
Suppose k = 5*m - 23, 0 = 4*m - 2*k + k - 19. Suppose i + 3 + 2 = 4*x, m*i - 12 = 0. Solve 2/3 + 2*v**2 + x*v + 2/3*v**3 = 0 for v.
-1
Let q(v) = -26*v + 5. Let c be q(-5). Suppose m = 2*g + 3*g - c, 0 = 3*g + 3*m - 81. Find p, given that -5*p - 66*p**3 + g*p**4 - 7 + 47*p**2 + p + 3 = 0.
-2/9, 2/3, 1
Let g(n) be the first derivative of 2*n**5/5 - 3*n**4 + 22*n**3/3 - 6*n**2 + 1. Factor g(v).
2*v*(v - 3)*(v - 2)*(v - 1)
Let y(g) = 4*g**3 - 8*g**2 + g + 3. Let w(v) = 4*v**3 - 8*v**2 + 2*v + 2. Let l(c) = -5*w(c) + 6*y(c). Factor l(p).
4*(p - 2)*(p - 1)*(p + 1)
Let g(b) = 6*b**3 + 2*b**2 + 2. Let l be g(-2). Let f be l/(-42) + (-7)/21. Factor 10/7*m**3 + f*m**2 - 4/7 - 10/7*m.
2*(m - 1)*(m + 1)*(5*m + 2)/7
Let h = -1 + 13. Solve t**2 - 30*t**4 + 10*t**4 + 7*t**2 + h*t**3 = 0.
-2/5, 0, 1
Let w(l) be the first derivative of 2*l**6/3 - 8*l**5/5 - 3*l**4 + 32*l**3/3 - 8*l**2 - 41. Determine b, given that w(b) = 0.
-2, 0, 1, 2
Let t(m) be the first derivative of 4 + 1/6*m + 1/18*m**3 - 1/6*m**2. Factor t(h).
(h - 1)**2/6
Let k(j) be the first derivative of j**4/48 - j**3/12 + 2*j + 2. Let f(n) be the first derivative of k(n). Find p such that f(p) = 0.
0, 2
Let h be 4/(2/(-1 + 3)). Let p(j) be the second derivative of -4/75*j**6 + 1/15*j**3 + 2/15*j**h + 0*j**2 - j + 0 - 1/50*j**5. Let p(a) = 0. Calculate a.
-1, -1/4, 0, 1
Let r be (-100)/477 + (-6)/(-27). Let n = r + 104/159. Suppose -a**2 + 1/3*a**3 + 0 + n*a = 0. Calculate a.
0, 1, 2
Let r(x) be the third derivative of -x**6/24 + 5*x**5/12 - 5*x**4/4 - 20*x**2. Solve r(m) = 0 for m.
0, 2, 3
Let g = 69 - 49. Let p be (-2 - (-32)/g) + 1. Factor 0 + 3/5*o**4 + 0*o + p*o**2 + 6/5*o**3.
3*o**2*(o + 1)**2/5
Let v(s) be the second derivative of s**9/15120 + s**8/3360 + s**7/2520 - s**4/4 + 3*s. Let j(d) be the third derivative of v(d). Suppose j(h) = 0. Calculate h.
-1, 0
Let w(c) be the third derivative of c**7/105 + c**6/30 - 2*c**5/15 - 2*c**4/3 + 20*c**2. Find a, given that w(a) = 0.
-2, 0, 2
Let l(k) = k - 16. Let x(m) = m**3 - 5*m**2 + 3*m + 3. Let t be x(5). Let b be l(t). Factor 2*a - 10/3*a**b + 4/3.
-2*(a - 1)*(5*a + 2)/3
Let k = -62/5 + 196/15. Let l(d) = d - 5. Let n be l(5). Determine o so that n - k*o - 5/3*o**2 - o**3 = 0.
-1, -2/3, 0
Let k(d) = -d**2 + 8*d - 9. Let q be k(6). Suppose 4*n - 15 = -3. Find h, given that -n*h**4 + 8*h**q + h**3 - 2*h + h**2 + 5*h**5 - 10*h**4 = 0.
-2/5, 0, 1
Let r = -1154/15 + 77. Let x(q) be the first derivative of 3 + 0*q - r*q**6 + 2/15*q**3 - 2/25*q**5 + 1/10*q**4 + 0*q**2. Solve x(m) = 0.
-1, 0, 1
Factor 3*a**4 + 0*a**4 - 5*a**4 + 6*a**3.
-2*a**3*(a - 3)
Let q(i) = -3*i**4 + 6*i**3 + 3*i**2 - 15*i + 9. Let c(b) = b**4 - 3*b**3 - b**2 + 7*b - 4. Let g(f) = 9*c(f) + 4*q(f). Factor g(n).
-3*n*(n - 1)*(n + 1)**2
Factor 0*l**2 + 0 - 3/4*l**3 + 3/4*l.
-3*l*(l - 1)*(l + 1)/4
Suppose -3*h + 6 = 4*c, 18 = 4*h - 3*h - 4*c. Suppose -4*w = -h*w. Let 0 + w*b - 1/2*b**2 = 0. Calculate b.
0
Solve 1/5*p**3 + 3/5*p**4 + 1/5*p + 0 - 2/5*p**5 - 3/5*p**2 = 0.
-1, 0, 1/2, 1
Let i(z) be the first derivative of -729*z**6/10 + 1458*z**5/5 - 162*z**4 - 304*z**3 - 120*z**2 - 96*z/5 - 52. What is n in i(n) = 0?
-2/9, 2
Let c be 0 + 1 + (0 - -2). Let l(i) be the first derivative of 0*i**2 - 1/3*i**c - 1 + 0*i. Factor l(s).
-s**2
Suppose -11*h + 30*h = 38. Factor 0*y + 2*y**h + 0 + 2/3*y**3.
2*y**2*(y + 3)/3
Let m(k) be the first derivative of -7 + 8/9*k**3 + 0*k + 0*k**2 + 7/3*k**4. Find w such that m(w) = 0.
-2/7, 0
Let x(i) be the second derivative of 0*i**3 + 1/60*i**6 + 1/20*i**5 + 0*i**2 + 1/24*i**4 + 0 - 3*i. Solve x(s) = 0 for s.
-1, 0
Let q(y) = -y**4 + y**3 - 5*y**2 + 7*y + 10. Let g(f) = f**4 - f**3 - f**2 - f - 1. Let b(o) = 4*g(o) + q(o). What is p in b(p) = 0?
-1, 1, 2
Let x(u) = -u**2 - 6*u + 3. Let o be x(-6). Find f, given that -3*f**2 + 6*f**3 - 47 - o*f**4 + 47 = 0.
0, 1
Find q, given that -1/2*q + 1/4*q**2 + 1/4 = 0.
1
Let n(r) = -r**5 + 2*r**4 + 4*r**3 - 2*r**2 - 7*r - 5. Let h(f) = -f**4 + f**3 + f**2 - f + 1. Let i(l) = -h(l) - n(l). Factor i(c).
(c - 2)**2*(c + 1)**3
Let f = -46 + 48. Let b(d) be the second derivative of -d + 4/5*d**f - 49/75*d**6 + 0 + 8/15*d**3 - 3/2*d**4 - 49/25*d**5. Let b(s) = 0. What is s?
-1, -2/7, 2/7
Let f be 60/(-45) + (-10)/(-3). Suppose -f*a + a = -2*x + 5, 5*x = -a + 9. Find j, given that 2/3*j**x - 1/3*j - 1/3*j**3 + 0 = 0.
0, 1
Let m be 2*-6*8/12. Let h = m + 10. Solve -1/3*p + 2/3*p**h + 0 - 1/3*p**3 = 0.
0, 1
Let k be ((-4)/(-384))/(3/6). Let w(f) be the second derivative of 0*f**2 - 2*f - 1/24*f**3 + 0 + k*f**4. Solve w(h) = 0 for h.
0, 1
Let b(s) be the third derivative of s**7/840 - s**6/480 - s**5/80 + s**4/96 + s**3/12 + 2*s**2 + 41*s. Suppose b(k) = 0. Calculate k.
-1, 1, 2
Let v(f) be the second derivative of 3*f**5/40 - f**4/8 - 5*f**3/2 - 6*f**2 - 40*f. Solve v(m) = 0 for m.
-2, -1, 4
Let y(r) = -4*r + 19. Let u be y(4). Determine f, given that -1/4*f**4 + f + 5/4*f**u - 2*f**2 + 0 = 0.
0, 1, 2
Let r(c) = -c**3 + 1. Let m(h) = -16*h**3 - 20*h**2 + 4*h + 32. Let l(q) = -m(q) + 12*r(q). Solve l(g) = 0.
-5, -1, 1
Let u(k) be the second derivative of 1/20*k**5 + 0 + 0*k**3 - 1/12*k**4 + 0*k**2 + 6*k. Determine x so that u(x) = 0.
0, 1
Let d(i) be the first derivative of -i**3 - 6*i**2 - 12*i - 3. Factor d(t).
-3*(t + 2)**2
Let d = 4 - 2. Suppose -7*a**3 + a**2 + 5*a**2 + d*a - a**2 - 3*a + 3*a**4 = 0. Calculate a.
0, 1/3, 1
Determine f, given that 0 - 22/9*f**2 - 10/9*f - 2/9*f**4 - 14/9*f**3 = 0.
-5, -1, 0
Suppose -3/4*k**2 - 9/2 + 15/4*k = 0. Calculate k.
2, 3
Let z(h) be the second derivative of -h**4/18 + h**3/3 - 2*h**2/3 + 2*h - 6. Factor z(g).
-2*(g - 2)*(g - 1)/3
Let u(n) be the second derivative of 0*n**3 + 0*n**2 - 4/105*n**6 - 1/70*n**5 + 0 + 0*n**4 + 2*n. Suppose u(t) = 0. Calculate t.
-1/4, 0
Let g = 20 - 83/4. Let t = g - -17/12. Solve 0 + 2/3*w**3 - 2/3*w**4 - 2/3*w**5 + t*w**2 + 0*w = 0.
-1, 0, 1
Let j be ((-2)/6)/((-45)/81). Factor j*k**2 + 12/5 - 12/5*k.
3*(k - 2)**2/5
Let 3/8*z**3 - 27/8*z**2 - 81/8 + 81/8*z = 0. Calculate z.
3
Let i(m) be the third derivative of 1/6*m**5 + m**2 + 0 + 1/3*m**3 + 1/3*m**4 + 0*m + 1/30*m**6. Factor i(n).
2*(n + 1)**2*(2*n + 1)
Let c(y) be the first derivative of y**6/18 - y**5/5 + y**4/4 - y**3/9 + 6. Let c(j) = 0. What is j?
0, 1
Let n = -459 - -2297/5. Suppose -4/5 - n*g + 2/5*g**2 = 0. Calculate g.
-1, 2
Let o(f) = 1. Let p be 12/4*4/(-6). Let w(t) = -t**2 + t + 2. Let h(b) = p*o(b) + w(b). Factor h(i).
-i*(i - 1)
Let m(c) = c + 12. Let a be m(-12). Suppose a = 3*z - 64 + 13. Factor z*u**3 - 9*u**2 + 5*u + 27*u**2 - u + 3*u**3.
2*u*(2*u + 1)*(5*u + 2)
Let t(p) be the second derivative of 0 - 4/3*p**3 + 1/3*p**4 - 6*p**2 + 4*p. Factor t(i).
4*(i - 3)*(i + 1)
Let z(q) be the third derivative of -5*q**8/336 - q**7/6 - 5*q**6/8 - 5*q**5/12 + 10*q**4/3 + 10*q**3 + 16*q*