e of -x**9/60480 - x**8/20160 - x**5/30 + x**2. Let u(h) be the third derivative of i(h). What is v in u(v) = 0?
-1, 0
Let h(f) be the second derivative of -f**6/18 + f**5/10 + f**4/3 + 5*f**3/6 - f. Let t(i) be the second derivative of h(i). Determine b so that t(b) = 0.
-2/5, 1
Factor 0*d**2 + 6*d**2 - 14 - d**2 - 1 - 10*d.
5*(d - 3)*(d + 1)
Factor -15*l - 6 - 17*l**2 - 3*l**3 + 3*l**2 + 2*l**2.
-3*(l + 1)**2*(l + 2)
Suppose 0 = 4*i + 4*u - 40, 0 = 5*i - 4*u - 12 - 2. Find w such that i*w**4 - 21*w**2 + 4*w - 6*w**3 + 30*w**3 - 16*w**4 + 3*w**2 = 0.
0, 2/5, 1
Let f = -491 - -493. Factor 6/5*q**f + 2/5 + 8/5*q.
2*(q + 1)*(3*q + 1)/5
Let b(l) be the second derivative of -1/40*l**5 + 1/252*l**7 - 4*l + 1/18*l**4 + 0*l**2 + 1/9*l**3 + 0 - 1/90*l**6. Factor b(n).
n*(n - 2)**2*(n + 1)**2/6
Let o be 0*((-2)/(-1) + -1). Suppose -4*c = o, -c = -2*u + 13 - 5. Factor 2/5*m**u - 6/5*m**3 - 2/5*m + 6/5*m**2 + 0.
2*m*(m - 1)**3/5
Suppose -10*z = -0*z. Determine j, given that 2/5*j**3 + 0 + 2/5*j**2 + z*j = 0.
-1, 0
Let c(a) be the third derivative of 0 + 0*a + a**2 - 1/210*a**5 + 1/21*a**3 - 1/105*a**6 + 1/21*a**4. Factor c(b).
-2*(b - 1)*(b + 1)*(4*b + 1)/7
Let r(i) be the second derivative of 0*i**2 + 1/21*i**4 + 0 + 5*i + 0*i**5 + 1/21*i**3 - 2/105*i**6 - 1/147*i**7. Let r(y) = 0. Calculate y.
-1, 0, 1
Let s be (-3)/6 - (-10)/4. Factor -7*z**3 + 1 - 2*z + 8*z**3 - z**s + z.
(z - 1)**2*(z + 1)
Let q be 2/7 - (-90)/(-21). Let o = -4 - q. Find f, given that 4/5*f**4 + 6/5*f**3 + 0*f**2 - 2/5*f + o = 0.
-1, 0, 1/2
Factor -44/13*z**2 + 0 - 6/13*z**3 - 14/13*z.
-2*z*(z + 7)*(3*z + 1)/13
Let g(i) be the first derivative of i**3/21 + 3*i**2/7 + 8*i/7 - 18. Find q, given that g(q) = 0.
-4, -2
Let a = -173 + 867/5. Factor -2/5*v + 0 - a*v**2.
-2*v*(v + 1)/5
Let f(k) = 2*k**3 + 4*k**2 + 2*k - 4. Let d(y) = -1 + y - 2*y + 5 - 3 - y**2. Let z(w) = 4*d(w) + f(w). Factor z(b).
2*b*(b - 1)*(b + 1)
Let v(s) be the second derivative of -4/9*s**3 - 4/3*s**2 - 3*s + 0 - 1/18*s**4. Determine k so that v(k) = 0.
-2
Solve 8/5*i**2 + 4/5 + 2/5*i**3 + 2*i = 0 for i.
-2, -1
Suppose 0 = 4*f + 7*o - 2*o + 8, 28 = 4*f - 4*o. Let x(g) be the third derivative of 2*g**2 + 0*g**f + 0 - 1/36*g**4 + 2/45*g**5 + 0*g. Factor x(a).
2*a*(4*a - 1)/3
Suppose -2 - 4 = -3*s. Let i be -2 + s - 0 - -2. Factor -n**3 - i*n**2 - 2*n**2 - n - 3*n**3.
-n*(2*n + 1)**2
Suppose 2/5*x**2 - 16/5*x + 32/5 = 0. What is x?
4
Let d be (-4)/(-6) + 8/(-12). Let j(o) = -o + 7. Let c be j(5). Factor -2 + 2 + 1 - b**2 + d*b**c.
-(b - 1)*(b + 1)
Suppose 5*m - 1 - 4 = c, 0 = -m + 2*c + 10. Let i = m + 3. Factor 8/5*p**4 + 2*p**i + 2/5*p**2 + 0*p + 0.
2*p**2*(p + 1)*(4*p + 1)/5
Suppose 0 = n + 4*n. Factor -3 + n + 7 - 3*i**2 - 3*i + 2.
-3*(i - 1)*(i + 2)
Let f be -4*3*1/(-6). Find s such that -4*s + s**2 - 8*s + 4*s - 2*s**f - 16 = 0.
-4
Let n(i) be the second derivative of i**4/8 + i**3 + 38*i. Determine g so that n(g) = 0.
-4, 0
Let p = 2/9 + 19/36. Factor -3/4*f**2 + p*f - 1/4 + 1/4*f**3.
(f - 1)**3/4
Let h = 869/4 + -216. Let i(u) = -8*u + 58. Let m be i(7). Solve -3/4*p - h*p**m + 1/2 = 0 for p.
-1, 2/5
Let a(f) be the second derivative of f**7/3360 + f**6/720 + f**5/480 - f**3/3 + 3*f. Let b(r) be the second derivative of a(r). Factor b(i).
i*(i + 1)**2/4
Suppose -a - 8 = -2*z, z - 12 = 2*a - 5. Suppose 10 - 16 = -z*x. Let 2/11*q**x + 0*q + 0 = 0. What is q?
0
Let a = -5810/3 + 1973. Let w = a - 35. Factor w*b - 2/3 - 2/3*b**2.
-2*(b - 1)**2/3
Let d(s) = s**2 + 2*s + 6. Let t = -27 - -16. Let a be 1*(1 - 0)*t. Let j(p) = -5*p**2 - 9*p - 31. Let b(g) = a*d(g) - 2*j(g). Suppose b(x) = 0. Calculate x.
-2
Suppose -2*o + 6*o = 3*o. Find m, given that 2/9*m**4 + 0*m**3 + 0 - 2/9*m**2 + o*m = 0.
-1, 0, 1
Suppose 0 = -5*y + 30. Suppose -3*u = 2*l - y - 0, -u - 2*l = -6. Factor -7*c**2 + 2*c**3 + 2*c + u*c**2 + 3*c**2.
2*c*(c - 1)**2
Solve -7*c**3 + 3 - 2*c**4 + 2*c**3 + 8*c**3 - 4*c + 3*c**2 - 3*c = 0 for c.
-3/2, 1
Let n(z) be the first derivative of -z**6/30 - z**5/10 + z**4/12 + z**3/3 - 7*z - 2. Let w(s) be the first derivative of n(s). Factor w(t).
-t*(t - 1)*(t + 1)*(t + 2)
Let r(o) = 13*o**3 - 7*o**2 + 3*o. Let l(c) = 12*c**2 - 4*c + c**2 - 25*c**3 + 0*c - c. Let t(y) = 3*l(y) + 5*r(y). What is g in t(g) = 0?
0, 2/5
Let o = 61 + -56. Factor 2/3*v**3 + 0*v + 0*v**2 + 0*v**4 - 2/3*v**o + 0.
-2*v**3*(v - 1)*(v + 1)/3
Let p(w) be the first derivative of 2 - w**2 + 0*w**3 + w**4 + 0*w**5 + 0*w - 1/3*w**6. Let p(v) = 0. What is v?
-1, 0, 1
Let h(z) be the third derivative of -z**8/1344 + z**7/840 + z**6/160 - z**5/240 - z**4/48 - 24*z**2. Let h(p) = 0. What is p?
-1, 0, 1, 2
Let i(j) = -2*j**5 + 6*j**4 - 40*j**3 + 86*j**2 - 60*j + 22. Let y(h) = -h**5 + 5*h**4 - 40*h**3 + 85*h**2 - 60*h + 21. Let z(u) = 5*i(u) - 6*y(u). Factor z(s).
-4*(s - 1)**4*(s + 4)
Factor 6/13*s**2 + 0*s**3 - 2/13*s**4 - 4/13*s + 0.
-2*s*(s - 1)**2*(s + 2)/13
Let 5/3*t + 1/3*t**3 + 2/3 + 4/3*t**2 = 0. What is t?
-2, -1
Suppose 0 = -20*z + 22*z - 3*h - 6, -5*h = 0. Suppose 0*p**2 + 0*p + 0 + 1/4*p**z = 0. Calculate p.
0
Let s(x) = -23*x**3 - x**2 + x + 1. Let g be s(-1). Solve 2*q**4 - 8 - 3*q**2 - 24*q - 12*q**3 - g*q**2 - q**2 - 4*q**4 = 0.
-2, -1
Suppose 1/6*a**2 + 0*a - 1/6*a**4 + 0 + 0*a**3 = 0. Calculate a.
-1, 0, 1
Factor -1/3*i + 0*i**2 + 1/3*i**3 - 1/6 + 1/6*i**4.
(i - 1)*(i + 1)**3/6
Factor -2/7*l**4 + 0*l - 2/7*l**2 + 0 + 4/7*l**3.
-2*l**2*(l - 1)**2/7
Let r(c) be the third derivative of c**8/50400 - c**7/4200 - c**5/10 + c**2. Let w(a) be the third derivative of r(a). Factor w(v).
2*v*(v - 3)/5
Suppose d - 3*a - 19 = 0, -3*d - 7 - 1 = 4*a. Factor -1/3*u**2 - 1/3*u + 1/3*u**3 + 0 + 1/3*u**d.
u*(u - 1)*(u + 1)**2/3
Let l = 8 - 6. Factor n**2 - 40*n**4 + 3*n**2 + l*n**3 + 34*n**4.
-2*n**2*(n - 1)*(3*n + 2)
Let a(l) be the second derivative of 0 - 1/10*l**5 + 1/10*l**6 - 1/2*l**2 + 2*l - 1/42*l**7 + 1/2*l**3 - 1/6*l**4. Factor a(s).
-(s - 1)**4*(s + 1)
Factor -64/5 - 64/5*d**3 - 4/5*d**5 + 28/5*d**4 + 64/5*d + 32/5*d**2.
-4*(d - 2)**4*(d + 1)/5
Let a be ((-5)/((-15)/2))/(16/12). What is p in -1/4*p**2 - 3/4*p - a = 0?
-2, -1
Let c be 1*4 + (-5)/(45/24). Factor 0*p + 1/3*p**3 - c + p**2.
(p - 1)*(p + 2)**2/3
Let q(k) be the first derivative of 2*k**5/5 + 5*k**4/2 + 14*k**3/3 + 3*k**2 - 24. Suppose q(b) = 0. Calculate b.
-3, -1, 0
Let s = -17 + 123/7. Factor 0 - 2/7*a**3 + 0*a - s*a**4 - 2/7*a**5 + 0*a**2.
-2*a**3*(a + 1)**2/7
Let u(y) = y. Let s be u(2). Suppose s*b - 3 = 3. Suppose -2/9*q**2 - 2*q**b - 22/9*q**4 + 0 - 8/9*q**5 + 2/9*q = 0. Calculate q.
-1, 0, 1/4
Let s be 22*(-3 + 14/4). Let n be (1 - 1)/(s + -9). Factor n*w**2 + 0 - 1/3*w**3 + 1/3*w.
-w*(w - 1)*(w + 1)/3
Suppose 0 = 4*w + 1 - 17. Let k(p) be the second derivative of 0*p**2 - p + 0*p**3 + 1/40*p**5 + 0*p**w + 0. What is q in k(q) = 0?
0
Let t(c) be the third derivative of -c**7/1260 - c**6/90 + c**5/40 - 15*c**2. Find s such that t(s) = 0.
-9, 0, 1
Let d(v) be the third derivative of -v**6/40 + v**5/20 - 14*v**2. Determine i so that d(i) = 0.
0, 1
Let d(a) be the first derivative of a**4/12 + a**3/3 + a**2/2 - a - 2. Let t(u) be the first derivative of d(u). Find s, given that t(s) = 0.
-1
Let j(a) be the first derivative of 1/3*a**3 - 6 + 1/4*a**4 + 0*a + 0*a**2. Let j(p) = 0. Calculate p.
-1, 0
Let v(p) = 5*p**2 - 2*p - 10. Let d(a) = a**2 + 7*a - 1. Let l be d(-8). Let b(f) = 5*f**2 - f - 11. Let s(y) = l*v(y) - 6*b(y). What is x in s(x) = 0?
-2/5, 2
Let y be (3 - 6 - -1) + -2. Let i be y/5*40/(-48). Let -2/3*w + 2/3*w**3 - i*w**2 + 0 + 2/3*w**4 = 0. Calculate w.
-1, 0, 1
Let k(x) be the second derivative of -1/10*x**5 + 1/3*x**2 + 0 + 3*x + 1/3*x**3 + 1/18*x**4 - 2/45*x**6. Solve k(i) = 0.
-1, -1/2, 1
Let u be 5/((-25)/(-13)) + -2. Factor 0*x - 3/5*x**2 + u.
-3*(x - 1)*(x + 1)/5
Factor -13*a**2 + 3*a**3 + 13*a**2 - 3*a**5.
-3*a**3*(a - 1)*(a + 1)
Suppose -15*p + 33 = -27. Let g(j) be the third derivative of 1/21*j**p + 1/35*j**5 + 0*j + 0 + 1/105*j**6 + 2*j**2 + 1/21*j**3 + 1/735*j**7. Solve g(d) = 0.
-1
Let g(l) = -l + 2. Let r be g(-5). Let b(k) be the second derivative of -3*k - 2*k**4 - 1/10*k**r - 3/2*k**5 - 3/5*k**2 + 0 - 3/5*k**6 - 3/2*k**3. Factor b(w).
-3*(w + 1)**4*(7*w + 2)/5
Let k = -314 - -6598/21. Let c(o) be the first derivative of 0*o - 1/14*o**4 -