/7*x + 12/7*x**z + 2/7*x**3.
2*(x + 2)**3/7
Suppose -4*u**2 - 3 - 2*u - 5 - u + 15*u = 0. What is u?
1, 2
Let c(g) be the second derivative of -g**8/1176 + 2*g**7/735 - g**5/105 + g**4/84 - g**2/2 - 2*g. Let a(o) be the first derivative of c(o). Factor a(i).
-2*i*(i - 1)**3*(i + 1)/7
Find n such that -280 - 5*n**2 + n**2 - 92*n + 12*n - 120 = 0.
-10
Let z(f) be the third derivative of -1/18*f**3 - 1/1008*f**8 + 0*f + 1/90*f**5 - 6*f**2 - 1/630*f**7 + 0 - 1/72*f**4 + 1/180*f**6. Factor z(p).
-(p - 1)**2*(p + 1)**3/3
Let k(o) be the first derivative of -o**4/54 - 2*o**3/27 - o + 2. Let t(w) be the first derivative of k(w). Let t(q) = 0. Calculate q.
-2, 0
Let t(k) be the second derivative of -k**7/105 - 2*k**6/75 + k**4/15 + k**3/15 + 15*k. Let t(m) = 0. Calculate m.
-1, 0, 1
Suppose 0 = -4*b + 5*f + 1 - 15, -5*f = -b + 4. Let t be (12/(-4))/(b/4). Factor o + 3 - o**2 - o**3 + 0*o**2 - t.
-(o - 1)*(o + 1)**2
Let m(d) be the third derivative of 0*d**4 + d**2 + 1/1620*d**6 + 0*d + 0*d**5 - 1/3*d**3 + 0. Let v(o) be the first derivative of m(o). Factor v(b).
2*b**2/9
Let w(i) be the second derivative of i**6/6 - i**5/4 - 5*i**4/3 + 10*i**3/3 + 41*i. Factor w(s).
5*s*(s - 2)*(s - 1)*(s + 2)
Let u(h) be the first derivative of h**5/180 + 3*h**2/2 - 4. Let p(t) be the second derivative of u(t). Solve p(d) = 0.
0
Let y(i) be the first derivative of i**6/90 - i**5/20 + i**4/36 + i**3/6 - i**2/3 - 5*i - 7. Let n(v) be the first derivative of y(v). Factor n(s).
(s - 2)*(s - 1)**2*(s + 1)/3
Let q(i) = -i**3 + 6*i**2 + 9*i - 6. Let h be q(7). Suppose 0 = 2*u - 4*t - 28, -2*u + t + h = -5. Let 0*w - 1/2*w**3 + 1/4*w**u + 0 + 1/4*w**2 = 0. What is w?
0, 1
Suppose -4/5*l**2 + 4/5*l**4 + 0 - 12/5*l + 12/5*l**3 = 0. What is l?
-3, -1, 0, 1
Let a(i) be the third derivative of i**6/40 + i**5/20 - i**4/4 - 5*i**2. Suppose a(h) = 0. What is h?
-2, 0, 1
Let i be 6 - (-6)/(-10)*5. Suppose -11 + i = -4*x. Factor 1/2*b - 3/2*b**x + 0 + 3/2*b**4 - 1/2*b**3.
b*(b - 1)*(b + 1)*(3*b - 1)/2
Let x(w) be the first derivative of 3*w**4/4 - w**3/3 + w**2/2 - 7. Let z be x(1). Factor 4/5*a**2 - 4/5*a**4 + 0 - 2/5*a**5 + 0*a**z + 2/5*a.
-2*a*(a - 1)*(a + 1)**3/5
Suppose -3*f = 5*x - 21, 0*f = -4*x + 3*f + 6. Factor -21*h**x - 6*h + h**2 - 21*h**2 - 7*h**2.
-3*h*(h + 1)*(7*h + 2)
Let d(k) be the first derivative of -5 - 5/16*k**4 - 1/4*k**2 + 0*k + 7/12*k**3. Determine g, given that d(g) = 0.
0, 2/5, 1
Let m(l) be the second derivative of l**5/60 - l**4/6 + 2*l**3/3 + 3*l**2/2 - l. Let h(k) be the first derivative of m(k). Determine f so that h(f) = 0.
2
Let f(n) be the third derivative of 0*n - 1/270*n**5 + 0 - 1/27*n**3 - 1/54*n**4 + 7*n**2. What is t in f(t) = 0?
-1
Let d(f) be the third derivative of f**5/45 - 8*f**3/9 - 13*f**2. Factor d(s).
4*(s - 2)*(s + 2)/3
Let t(m) = 3*m**3 + 8*m**2 + 11. Let d(o) = o**3 + 2*o**2 + 3. Let s(c) = 22*d(c) - 6*t(c). Let s(a) = 0. What is a?
0, 1
Let n(a) = 17*a + 20. Let y be n(-1). Factor -3/4*w**2 - 3 + y*w.
-3*(w - 2)**2/4
Let q(s) be the third derivative of 4*s**2 + 1/30*s**5 + 0*s**3 + 0 + 0*s + 0*s**4 - 1/60*s**6. Factor q(l).
-2*l**2*(l - 1)
Let z(w) = 2*w**5 - 11*w**4 - 5*w**3 + 11*w**2 + 3*w + 5. Let p(s) = -3*s**5 + 21*s**4 + 9*s**3 - 21*s**2 - 6*s - 9. Let c(f) = 5*p(f) + 9*z(f). Factor c(h).
3*h*(h - 1)*(h + 1)**3
Factor -2/3*d**3 + 2/3*d**5 + 0 + d**4 + 0*d + 0*d**2.
d**3*(d + 2)*(2*d - 1)/3
Suppose r = 3*z + 10, 0*r - 2*z + 4 = 2*r. Suppose -r*k = -7*k + 12. Factor 0*p - 1/5*p**2 + 2/5*p**3 + 0 - 1/5*p**k.
-p**2*(p - 1)**2/5
Let g(x) = -x**3 - 3*x**2 - 2*x + 3. Let i(t) = -1. Let y(o) = -5*g(o) - 15*i(o). Suppose y(w) = 0. Calculate w.
-2, -1, 0
Let k(s) be the first derivative of -s**7/840 + s**5/40 - s**4/12 + s**3 + 2. Let m(t) be the third derivative of k(t). Factor m(j).
-(j - 1)**2*(j + 2)
Let m = -136/3 + 46. Factor -1/6*x**4 + 0 + 0*x - 2/3*x**2 - m*x**3.
-x**2*(x + 2)**2/6
Let k(a) = 110*a**3 + 230*a**2 + 10*a - 65. Let r(o) = 10*o**3 + 21*o**2 + o - 6. Let n(t) = -4*k(t) + 45*r(t). Factor n(g).
5*(g + 1)*(g + 2)*(2*g - 1)
Factor 2*f**2 - 1/2*f**4 + f - f**3 - 3/2.
-(f - 1)**2*(f + 1)*(f + 3)/2
Let g(p) be the first derivative of -2*p**3/51 - 4*p**2/17 - 8*p/17 - 6. Factor g(d).
-2*(d + 2)**2/17
Factor 4*f**2 - 24*f**3 - 4 + f - 3*f + 26*f**3.
2*(f - 1)*(f + 1)*(f + 2)
Let w = 344 - 2059/6. Let h(o) be the second derivative of w*o**4 + 3/10*o**5 + 2/3*o**3 - o + 0 + 0*o**2. Let h(v) = 0. What is v?
-1, -2/3, 0
Let l(r) be the first derivative of -2*r**6/3 + 2. What is k in l(k) = 0?
0
Let n(s) be the third derivative of s**7/70 - s**6/8 + 7*s**5/20 - 3*s**4/8 + 19*s**2. Solve n(b) = 0 for b.
0, 1, 3
Find j, given that -4/7*j**4 + 16/7*j + 0*j**2 - 12/7*j**3 + 0 = 0.
-2, 0, 1
Factor 92/15*z**3 + 10/3*z**5 + 26/3*z**4 - 4/15*z**2 + 2/15 - 14/15*z.
2*(z + 1)**3*(5*z - 1)**2/15
Let r = -8 - -8. Let i(v) be the second derivative of -3*v + 0*v**4 + 1/10*v**5 - 1/3*v**3 + r*v**2 + 0. Find j, given that i(j) = 0.
-1, 0, 1
What is h in -5/2*h - 5/6*h**2 + 0 = 0?
-3, 0
Let h(n) be the third derivative of -1/120*n**4 + 4*n**2 + 0 + 1/600*n**6 - 1/30*n**3 + 0*n + 1/300*n**5. Factor h(x).
(x - 1)*(x + 1)**2/5
Let c be (-15)/13 + 1 + 448/546. Let -7/6*w**4 + 19/6*w**3 - c*w + 0 - 4/3*w**2 = 0. Calculate w.
-2/7, 0, 1, 2
Let d = 1066 - 1066. Determine w, given that 0*w + w**3 + 1/3*w**4 + 2/3*w**2 + d = 0.
-2, -1, 0
Suppose 8 - 6 + 7 - 9*j**2 + 3*j**3 - 3*j = 0. Calculate j.
-1, 1, 3
Let t(f) be the third derivative of -f**5/270 - f**4/36 - 15*f**2. Suppose t(i) = 0. What is i?
-3, 0
Let h(b) = -b**3 - 5*b**2 + 4*b + 4. Let c be h(-5). Let d be c/(-6)*(-3)/(-4). Factor d - 2*p + 1/2*p**2.
(p - 2)**2/2
Factor -1/5*d**2 - 3/5*d - 2/5.
-(d + 1)*(d + 2)/5
Let u(m) be the first derivative of -49*m**3 - 1 - 21*m**2 - 343/8*m**4 - 4*m. Solve u(j) = 0.
-2/7
Let k = 12 + 2. Let m = k + -55/4. Factor 1/4*q**2 + m + 1/2*q.
(q + 1)**2/4
Factor 2*h**3 + 0*h**2 + h**5 + 0*h**2 + 20*h**4 - 23*h**4.
h**3*(h - 2)*(h - 1)
Let u(s) = 4 + s**2 - s + 7*s - 2*s. Let c be u(-4). Solve 0*y**3 - 50/3*y**c + 0 + 8/3*y**2 + 0*y = 0 for y.
-2/5, 0, 2/5
Suppose 2*z = -2*z + 8. Find g, given that -32*g**5 - 53*g**z + 27*g**4 + 53*g**4 - 50*g**3 + 2 + 43*g**2 + 10*g = 0.
-1/4, 1
Factor -2*m**3 - 9*m**5 - 4*m**3 + 2*m**3 + m**3 - 12*m**4.
-3*m**3*(m + 1)*(3*m + 1)
Factor 2/5*x + 2/25*x**2 + 0.
2*x*(x + 5)/25
Let d(i) be the first derivative of -i**6/990 + i**5/660 - i**3 - 2. Let s(r) be the third derivative of d(r). Determine l, given that s(l) = 0.
0, 1/2
Factor 9/4*u + 3/2 - 3/4*u**3 + 0*u**2.
-3*(u - 2)*(u + 1)**2/4
Factor -4*d - 5*d**3 + 16*d**3 + 8*d**4 + 4*d**2 + 2*d + 3*d**3.
2*d*(d + 1)**2*(4*d - 1)
Suppose 0 - 2/5*g**4 + 0*g + 8/5*g**3 - 8/5*g**2 = 0. Calculate g.
0, 2
Suppose n**3 + 15*n - 121 + n**2 - 24*n**2 + 128*n = 0. What is n?
1, 11
Let y be 1/(3/(-18) - 0). Let w be 1/21*(0 - y). Factor w*z**2 + 2/7 + 4/7*z.
2*(z + 1)**2/7
Factor 0*i - 16/5*i**2 + 2/5*i**4 + 0*i**3 + 32/5.
2*(i - 2)**2*(i + 2)**2/5
Let o(t) be the third derivative of t**7/10080 + t**6/960 + t**5/240 - t**4/6 + 4*t**2. Let d(x) be the second derivative of o(x). Factor d(w).
(w + 1)*(w + 2)/4
Suppose -5*w + 21 - 6 = 0. Factor 5*j**5 - 2*j**5 - 2*j**w - 5*j**5 + 3*j**5 + j.
j*(j - 1)**2*(j + 1)**2
Let p(s) be the first derivative of 1/7*s**2 - 2/35*s**5 + 1 + s + 4/21*s**3 - 1/42*s**4. Let d(h) be the first derivative of p(h). Factor d(l).
-2*(l - 1)*(l + 1)*(4*l + 1)/7
Let r(q) be the second derivative of q**6/30 + q**5/20 - q**4/12 - q**3/6 + 5*q. Solve r(h) = 0 for h.
-1, 0, 1
Suppose -19*x + 36 = -7*x. Factor -1 + 1/4*t**2 + t - 1/4*t**x.
-(t - 2)*(t - 1)*(t + 2)/4
Factor 2/5*i**5 + 4/5*i**2 - 2/5*i + 0*i**3 + 0 - 4/5*i**4.
2*i*(i - 1)**3*(i + 1)/5
Let s(d) = -d**2 - 6*d + 3. Suppose -3*c = 8 + 7. Let l be s(c). Suppose u**3 + l*u**3 + u**3 + 4*u**2 + 6*u**4 = 0. Calculate u.
-1, -2/3, 0
Let c(i) be the first derivative of 2/45*i**5 + 0*i**3 + 0*i + 3 - 1/27*i**6 + 0*i**2 + 0*i**4. Factor c(f).
-2*f**4*(f - 1)/9
Let r be 18/(-30) - ((3 - 1) + -3). Determine u, given that -r*u**2 + 0 + 6/5*u = 0.
0, 3
Let s(b) be the third derivative of 0*b**4 + 0*b**3 + 1/945*b**7 - 1/270*b**6 + 0*b + 3*b**2 + 0 + 0*b**5. Suppose s(j) = 0. What is j?
0, 2
Suppose -4*p - 6 = f - 0, -10 = 2*p