**2/4 + 5*v - 7. What is k in m(k) = 0?
-1, 1, 2
Let x(n) be the second derivative of -n**4/36 - n**3/9 - n**2/6 + 13*n. Suppose x(y) = 0. Calculate y.
-1
Let q be 2 + ((-8)/36 - 4/(-18)). Factor -7/2*n**4 - 9/2*n**3 - n**q + 0 + 0*n.
-n**2*(n + 1)*(7*n + 2)/2
Suppose -5*f + 0 + 10 = 0. Factor 0*n**4 + n**4 + 4*n**2 - 3*n**2 - 2*n**f.
n**2*(n - 1)*(n + 1)
Let v(a) = 2*a + 10. Let m(u) = -u - 5. Let d(t) = 11*m(t) + 6*v(t). Let i be d(-3). Suppose 2/7*n**i + 0 - 2/7*n**3 + 0*n = 0. What is n?
0, 1
Let m(p) be the third derivative of -p**10/60480 + p**9/6720 - p**8/3360 - p**7/1260 - p**5/20 + 3*p**2. Let d(g) be the third derivative of m(g). Factor d(w).
-w*(w - 2)**2*(5*w + 2)/2
Let h(j) be the third derivative of j**7/630 + 7*j**6/360 + 2*j**5/45 - 2*j**4/9 - 2*j**2. Suppose h(g) = 0. Calculate g.
-4, 0, 1
Let 0*i**2 + 0*i**3 + 2/9*i**4 + 0 - 2/9*i**5 + 0*i = 0. Calculate i.
0, 1
Let z = 6 + -3. Factor 1 - 2*d**2 - 3*d**z + 3*d**3 + d**4.
(d - 1)**2*(d + 1)**2
Let x(s) be the second derivative of s**4/4 + s**3 + 3*s**2/2 - 7*s. Factor x(u).
3*(u + 1)**2
Let i(r) be the third derivative of -r**8/336 - r**7/105 - r**6/120 + 6*r**2. Solve i(w) = 0 for w.
-1, 0
Let p(s) be the second derivative of -2/45*s**5 - 2/189*s**7 + 0 + 1/54*s**4 + 1/27*s**6 + 0*s**3 + 0*s**2 + 2*s. Factor p(y).
-2*y**2*(y - 1)**2*(2*y - 1)/9
Let h(f) = -f - 19. Let d be h(-24). Factor -6/5*q + 4/5*q**2 - 6/5*q**4 + 4/5*q**3 + 2/5*q**d + 2/5.
2*(q - 1)**4*(q + 1)/5
Suppose 2 = 3*w - 4. Let f = 9 - 4. Factor -4*c**3 + w*c**f + c**4 + 2*c - c**4.
2*c*(c - 1)**2*(c + 1)**2
Let s(z) be the third derivative of -z**5/360 - z**4/72 - z**3/36 - z**2. Factor s(w).
-(w + 1)**2/6
Let l(z) be the first derivative of z**7/168 - z**6/40 + 3*z**5/80 - z**4/48 + 3*z + 2. Let k(d) be the first derivative of l(d). Suppose k(f) = 0. What is f?
0, 1
Suppose -2*y**3 + 0*y**3 + y**4 + 126 + y**2 - 126 = 0. Calculate y.
0, 1
Let i(j) be the first derivative of -8/25*j**5 + 0*j + 1/15*j**6 + 3/5*j**4 + 1/5*j**2 - 8/15*j**3 - 3. Factor i(w).
2*w*(w - 1)**4/5
Let a = 152 - 2735/18. Let f(p) be the first derivative of -3 - 2/27*p**3 + 0*p**2 - a*p**4 + 0*p. Determine t so that f(t) = 0.
-1, 0
Let q(r) be the third derivative of r**9/120960 - r**8/40320 - r**7/10080 + r**6/1440 + r**5/60 + r**2. Let l(d) be the third derivative of q(d). Factor l(b).
(b - 1)**2*(b + 1)/2
Let z(l) be the third derivative of 0*l**5 + 1/8*l**6 - 1/2*l**4 + 4*l**2 - 1/112*l**8 + 0 + 0*l + 0*l**3 + 0*l**7. Determine h, given that z(h) = 0.
-2, -1, 0, 1, 2
Let r(x) be the third derivative of -x**8/3024 - x**7/945 + x**5/270 + x**4/216 + 4*x**2. Factor r(n).
-n*(n - 1)*(n + 1)**3/9
Let x = 75 + -75. Factor 10/11*s**2 + 2/11*s**4 + x - 4/11*s - 8/11*s**3.
2*s*(s - 2)*(s - 1)**2/11
Let l = -14879/40 - -372. Let m(v) be the second derivative of -1/4*v**2 - 1/4*v**3 + 0 - l*v**5 - 1/8*v**4 - v. Factor m(k).
-(k + 1)**3/2
Let r(s) = -s - 6. Let i be r(-6). Suppose i*d = d. Factor -6*l**5 - 4*l**4 + 4*l**5 + 2*l**3 + d*l**3 - 4*l**3.
-2*l**3*(l + 1)**2
Let y be (-77)/(-21) + 2/(-3). Let 4*q**2 - 5*q**2 - q + q**4 + 41*q**y - 40*q**3 = 0. Calculate q.
-1, 0, 1
Factor -5*a**3 - 9*a + 8*a**2 - a + 13*a**2 - 6*a**2.
-5*a*(a - 2)*(a - 1)
Let x be (1939/(-21))/(80/(-6)). Let n = -49/8 + x. Factor -2/5 + 0*f**2 - 4/5*f + n*f**3 + 2/5*f**4.
2*(f - 1)*(f + 1)**3/5
Let 1/3*n**2 + 4/3 + 1/3*n**5 - 5/3*n**4 + 7/3*n**3 - 8/3*n = 0. What is n?
-1, 1, 2
Factor 0 - 3/2*z**2 + z + 1/2*z**3.
z*(z - 2)*(z - 1)/2
Suppose 6 = 6*c - 12. Suppose c*h = -5 + 17. Factor 0 + 3/5*a**3 - 1/5*a**h + 1/5*a - 3/5*a**2.
-a*(a - 1)**3/5
Let k(x) be the third derivative of x**6/120 + x**5/30 + x**4/24 + x**2. Determine q, given that k(q) = 0.
-1, 0
Let q(p) be the third derivative of -p**7/525 - p**6/120 - p**5/75 - p**4/120 - 16*p**2. Factor q(i).
-i*(i + 1)**2*(2*i + 1)/5
Let v(d) be the first derivative of d**3/6 - 7*d**2/4 + 3*d - 19. What is x in v(x) = 0?
1, 6
Factor 125/2 + 25*n + 5/2*n**2.
5*(n + 5)**2/2
Let i(n) be the first derivative of n**2 + 0*n**5 + 0*n - 1/96*n**4 + 1/480*n**6 - 1 + 0*n**3. Let c(h) be the second derivative of i(h). Factor c(l).
l*(l - 1)*(l + 1)/4
Let n(t) = 23*t**2 + t + 12. Let y(q) = 8*q**2 + 4. Let b = 29 - 12. Let x(v) = b*y(v) - 6*n(v). Solve x(u) = 0.
-2, -1
Let u(v) be the first derivative of v**6/5 + 6*v**5/25 - 9*v**4/5 + 27. Factor u(k).
6*k**3*(k - 2)*(k + 3)/5
Let c(p) be the first derivative of 1/2*p**2 - 11/15*p**3 + 1 + 1/5*p**4 + 2/5*p. Find s such that c(s) = 0.
-1/4, 1, 2
Suppose -24*d = -16*d. Factor -4/5*j**2 - 2/5*j**3 + d + 0*j.
-2*j**2*(j + 2)/5
Let p = 22 + -20. Let v(f) be the third derivative of 0*f**4 + 0 - 2*f**p + 1/120*f**5 - 1/12*f**3 + 0*f. Find k, given that v(k) = 0.
-1, 1
Let i = 13 - 10. Let t(g) = g**2 + g. Let l be t(-2). Factor -3*h + 8*h**3 - 7*h**l - i*h**2 + 5*h.
2*h*(h - 1)*(4*h - 1)
Let w(l) be the first derivative of -2*l**3/33 + 2*l**2/11 + 6*l/11 - 7. Let w(h) = 0. What is h?
-1, 3
Let y(a) = -4*a**2 + 4 + 7*a**2 + 5 + 27*a. Let t(k) = k**2 + 7*k + 2. Let o(n) = 15*t(n) - 4*y(n). Let o(c) = 0. What is c?
-1, 2
Let j(n) be the second derivative of -n**6/10 - 9*n**5/20 - n**4/2 + 4*n + 1. Determine s so that j(s) = 0.
-2, -1, 0
Let g(n) be the first derivative of 5*n**6/6 - 3*n**5 + 5*n**4/2 - 10. Suppose g(q) = 0. Calculate q.
0, 1, 2
Let m(p) be the third derivative of p**7/945 + p**6/90 + p**5/270 - 2*p**4/9 + 16*p**3/27 + 4*p**2. Factor m(y).
2*(y - 1)**2*(y + 4)**2/9
Let r(o) = -3*o**3 + o**2 + 2. Let m(y) = 16*y**3 - 6*y**2 - 11. Let t(l) = 2*m(l) + 11*r(l). Let s be t(-1). Factor -2/5*z**2 + 0 + 2/5*z**3 + s*z.
2*z**2*(z - 1)/5
Let u(f) = f**5 - f**2 + f - 1. Let i(y) = -3*y**5 + 2*y**4 + 5*y**2 - 5*y + 5. Let z(a) = 2*i(a) + 10*u(a). Find j, given that z(j) = 0.
-1, 0
Suppose 2*b + 1 = 4*n + 3, -5*b + 17 = -4*n. Let h = -2980/63 - -436/9. Let 2/7*m**n + h + 8/7*m = 0. Calculate m.
-2
Let p(b) be the second derivative of -b**4/4 + 15*b**3/2 - 71*b. Factor p(n).
-3*n*(n - 15)
Suppose -2*z + 3*z = 0. Let g be (-3)/6*(52/12 + -5). Factor 0 + z*c - 1/3*c**5 - g*c**2 - c**4 - c**3.
-c**2*(c + 1)**3/3
Let w = -2/2857 - -11438/14285. Factor 2*u**4 + 0 - 14/5*u**3 + w*u**2 + 0*u.
2*u**2*(u - 1)*(5*u - 2)/5
Let j(x) be the second derivative of x**7/1680 - x**5/240 + x**3/2 - 2*x. Let a(z) be the second derivative of j(z). Factor a(g).
g*(g - 1)*(g + 1)/2
Suppose -20 = -2*j - 322. Let v = 1059/7 + j. Factor 2/7*m**3 - v*m + 4/7*m**2 - 4/7.
2*(m - 1)*(m + 1)*(m + 2)/7
Let w(a) be the second derivative of -a**5/50 + 2*a**4/15 - a**3/3 + 2*a**2/5 + 2*a. What is y in w(y) = 0?
1, 2
Suppose -256 = -22*t - 42*t. Suppose 1/4*k - 1/2*k**3 + 0*k**t + 1/4*k**5 + 0*k**2 + 0 = 0. What is k?
-1, 0, 1
Let g(z) be the second derivative of z**4/16 - z**3 + 21*z**2/8 + 2*z - 2. Solve g(u) = 0.
1, 7
Let a be -3 + 38*3/36. Let u(b) be the third derivative of -1/12*b**4 - b**2 + 0*b + 1/60*b**5 + 0 + a*b**3. Find d, given that u(d) = 0.
1
Let j(v) = 8*v**3 + 4*v**2 - 16*v - 4. Let n(s) = 9*s**3 + 5*s**2 - 17*s - 3. Let r(u) = 5*j(u) - 4*n(u). Suppose r(l) = 0. Calculate l.
-1, 2
Let o = 1395 - 4135/3. Suppose 2*f - 4 = 4. Suppose 16/3*v**f - o*v**3 - 16/3*v**2 + 14*v**5 + 8/3*v + 0 = 0. Calculate v.
-1, -2/3, 0, 2/7, 1
Find h, given that 26/5*h - 5*h**2 - 1 + 4/5*h**3 = 0.
1/4, 1, 5
Let q(f) = 3*f**3 - 12*f**2 + 18*f + 6. Let w(x) = 3*x**3 - 12*x**2 + 17*x + 5. Let d(k) = 5*q(k) - 6*w(k). Factor d(u).
-3*u*(u - 2)**2
Let a(z) be the first derivative of -3*z**4/4 + 9*z**2/2 + 6*z - 27. Factor a(v).
-3*(v - 2)*(v + 1)**2
Let v(o) be the third derivative of -1/30*o**4 + 0 + 1/150*o**6 + 4*o**2 - 1/50*o**5 + 0*o**3 + 0*o + 1/175*o**7. Find t, given that v(t) = 0.
-1, -2/3, 0, 1
Let d(v) = -v**3 + v**2. Let k(a) = -2*a + 17. Let c be k(9). Let o(h) = 6*h**3 + 7*h**2 + h - 2. Let u(t) = c*d(t) - o(t). Factor u(z).
-(z + 1)**2*(5*z - 2)
Suppose -2/7*m**2 + 2/7 + 2/7*m - 2/7*m**3 = 0. What is m?
-1, 1
Let n(q) = -4*q**4 - 10*q**3 + 38*q**2 - 45*q + 21. Let c(s) = s**4 - s**2 + s - 1. Let k(x) = -5*c(x) - n(x). Find b such that k(b) = 0.
1, 4
Factor 0*r + 0*r**2 - 4/3*r**4 - 4/3*r**3 + 0.
-4*r**3*(r + 1)/3
Let n(w) = -6*w**2 + 4*w - 4. Suppose p = v + 3*p - 4, v - 4 = -3*p. Let l(t) = -t**2 + t - 1. Let y(b) = v*l