**3 + 26*m**2 + 6*m. Let w(j) = t*d(j) - 14*x(j). Solve w(s) = 0.
-1, 0
Let f(g) be the third derivative of -g**7/420 - g**6/80 - g**5/120 + g**4/16 + g**3/6 + g**2. Suppose f(v) = 0. What is v?
-2, -1, 1
Factor -2/5*b**3 - 32/5 - 16/5*b + 14/5*b**2.
-2*(b - 4)**2*(b + 1)/5
Let b(v) be the first derivative of -v**4/42 - 2*v**3/21 + 8*v/21 + 10. Find h such that b(h) = 0.
-2, 1
Factor 0 - 4/3*f - 1/3*f**3 + 5/3*f**2.
-f*(f - 4)*(f - 1)/3
Suppose -t = a, 0 = 2*a + 10*t - 5*t. Factor 0*r**2 + a*r + 0 - 2/3*r**3 - r**4 - 1/3*r**5.
-r**3*(r + 1)*(r + 2)/3
Let x(d) be the first derivative of 1 + 1/7*d**4 - 2/7*d - 2/7*d**2 + 2/35*d**5 + 0*d**3. Factor x(u).
2*(u - 1)*(u + 1)**3/7
Determine d, given that 4*d**3 - 16 + 37 - 4*d**2 + 4*d**4 - 21 - 4*d = 0.
-1, 0, 1
Let j(d) be the third derivative of -d**7/315 + d**6/180 + d**5/30 - 5*d**4/36 + 2*d**3/9 + 9*d**2. Suppose j(u) = 0. Calculate u.
-2, 1
Let h be -1 - (0 + -1 + 2). Let t be (h + 0)/((-14)/44). Suppose t*y**3 - 16/7*y**2 - 6/7*y + 10/7*y**5 - 36/7*y**4 + 4/7 = 0. What is y?
-2/5, 1
Let m(s) be the first derivative of -s**5 - 10*s**4 - 10*s**3 + 20*s**2 + 35*s - 14. Let m(k) = 0. Calculate k.
-7, -1, 1
Suppose 0 = -145*v + 156*v. Solve -r + v + 1/3*r**2 = 0.
0, 3
Let z = -5 + 12. Suppose -7*f + 38 = 12*f. Factor 7*s**3 + s**2 - 3*s**2 - f*s**3 + z*s**4.
s**2*(s + 1)*(7*s - 2)
Let 0*w + 1/2*w**2 + 0*w**3 + 0 - 1/2*w**4 = 0. Calculate w.
-1, 0, 1
Let g(s) be the third derivative of s**10/15120 - s**8/3360 - 5*s**4/24 + 5*s**2. Let j(k) be the second derivative of g(k). Factor j(y).
2*y**3*(y - 1)*(y + 1)
Let w be 19/4 - (-9)/36. Factor -21*x + 27*x**2 - 2*x**4 - 7*x**3 - 8*x**3 + w*x**4 + 6.
3*(x - 2)*(x - 1)**3
Let w = -1265/7 + 181. Determine n, given that 2/7*n**2 - 2/7 - w*n + 2/7*n**3 = 0.
-1, 1
Let x(c) be the third derivative of -c**6/40 + c**4/8 - 7*c**2. What is n in x(n) = 0?
-1, 0, 1
Suppose 3*o = 6*o + 93. Let n = o - -31. Determine g, given that n - 2/5*g**2 - 4/5*g = 0.
-2, 0
Let r(l) be the first derivative of 2*l**5/15 - l**4/6 - 2*l**3/3 + 5*l**2/3 - 4*l/3 - 2. Determine x, given that r(x) = 0.
-2, 1
Let m(c) be the second derivative of c**9/6048 - c**8/6720 - c**4/3 + 4*c. Let w(h) be the third derivative of m(h). Factor w(p).
p**3*(5*p - 2)/2
Let k(n) be the first derivative of -1 + 0*n + 2*n**3 - 1/2*n**6 - 6/5*n**5 + 0*n**4 + 3/2*n**2. Factor k(v).
-3*v*(v - 1)*(v + 1)**3
Let g(i) be the first derivative of i**7/525 - i**5/75 + i**3/15 + 3*i**2/2 + 5. Let q(r) be the second derivative of g(r). Find d such that q(d) = 0.
-1, 1
Let u = -2851/9 - -317. Determine z, given that 0 - u*z**3 + 2/9*z + 0*z**2 = 0.
-1, 0, 1
Suppose 0*a**3 + 0*a**2 - 2/3*a**5 + 0*a - 2/3*a**4 + 0 = 0. Calculate a.
-1, 0
Let h(c) be the first derivative of 0*c**2 - 1/1620*c**6 + 0*c + 1/3*c**3 + 1/135*c**5 - 2 - 1/27*c**4. Let b(l) be the third derivative of h(l). Factor b(m).
-2*(m - 2)**2/9
Let f(a) = 7*a**4 - 13*a**3 + 5*a**2 + 4*a. Let q(u) = 15*u**4 - 27*u**3 + 9*u**2 + 8*u. Let w(z) = -5*f(z) + 3*q(z). Find h, given that w(h) = 0.
-2/5, 0, 1
Let l(m) be the second derivative of -m**5/20 + 2*m**3/3 + 13*m. Factor l(d).
-d*(d - 2)*(d + 2)
Let y = 24 + -12. Let w be 6/24 + 21/y. What is s in -1/3*s**3 + 1/3 + s**w - s = 0?
1
Let x(p) = p**4 + 6*p**3 - 4*p**2 + 2. Let i(m) = 4*m**4 + 19*m**3 - 12*m**2 + 7. Let d(t) = 2*i(t) - 7*x(t). Factor d(k).
k**2*(k - 2)**2
Let p(c) be the first derivative of -1/18*c**4 + 2/9*c**2 + 5 + 0*c - 1/27*c**6 + 2/15*c**5 - 2/9*c**3. What is z in p(z) = 0?
-1, 0, 1, 2
Suppose 2728*l = 2723*l + 15. Factor 12/5*s**2 + 8/5*s - 8/5*s**l + 0.
-4*s*(s - 2)*(2*s + 1)/5
Let m = -352 + 3172/9. Factor -2/3*f + 4/9*f**2 + 2/9 + m*f**3 + 2/9*f**5 - 2/3*f**4.
2*(f - 1)**4*(f + 1)/9
Let k(v) = 1 - 3 + 4*v**2 + 2*v + v**3 + 3. Let b be k(-3). Solve -2*z**2 + 2*z**3 + 0*z**4 - 2*z**5 + 0*z**4 + 2*z**b = 0 for z.
-1, 0, 1
Find u, given that -12 - 1075/9*u**3 + 72*u - 49/9*u**5 - 67*u**2 - 413/9*u**4 = 0.
-3, 2/7
Let k be (-2)/7 - 58/(-7). Suppose 5*z = 4*x - k, -8 = 3*z - 6*z - 4*x. Determine j so that 4*j**2 + 4*j**3 - 4*j**4 - 2*j + 2*j**4 - 2 - 2*j**5 + z*j**2 = 0.
-1, 1
Let j(c) = -c**3 + 10*c**2 - 8*c - 4. Let m be j(9). Let r = -2/235 - -713/940. Solve -r*i**3 - 1/4*i**m + 1/4*i**2 + 0*i + 0 + 3/4*i**4 = 0 for i.
0, 1
Suppose 8*j = 3*j + 50. Factor -5 + 3 - 58*t**5 + 10*t - 20*t**2 + 20*t**3 + 60*t**5 - j*t**4.
2*(t - 1)**5
Let j(g) = -6*g + 20. Let u be j(8). Let a be (7/u)/(5/(-4)). Suppose -1/5 - a*f**2 - 2/5*f = 0. What is f?
-1
Factor 7/3*p**2 - 2/3*p + 0 + 3*p**3.
p*(p + 1)*(9*p - 2)/3
Let m = 11 - 6. Let n = 7 - m. Factor n + 1/2*x**2 + 2*x.
(x + 2)**2/2
Suppose 8*a - 18 = 14. Factor -p**5 - 6*p**2 - 13/3*p**a - 1/3 - 7/3*p - 22/3*p**3.
-(p + 1)**4*(3*p + 1)/3
Determine n so that -45/4*n**2 - 1 - 7*n + 7*n**3 + 49/4*n**4 = 0.
-1, -2/7, 1
Suppose 4*m - 17 = -9. Let b(g) be the first derivative of -1 + 0*g**m - 1/6*g**3 + 1/2*g. Solve b(j) = 0.
-1, 1
Let d(w) be the first derivative of 2*w**3/15 - 6*w**2/5 + 18*w/5 + 5. Factor d(u).
2*(u - 3)**2/5
Suppose -5*m + 5*g + 82 = -3, -4*m + 65 = -5*g. Suppose m = -4*d + 4*h, -2*h = 2 - 12. Factor 1/5*j**2 + d*j + 0.
j**2/5
Let v be (-1 - 15)*(-5)/5. Let k be v*(1 - (-1 - 0)). Factor -56*j**2 + 7 + j**5 + 4*j + 44*j - 9*j**4 - 23 + k*j**3.
(j - 2)**4*(j - 1)
Let k = -11 + 16. Let u(x) be the second derivative of -1/6*x**2 - 1/30*x**k + 1/9*x**3 + 0*x**4 + 1/90*x**6 + 0 + x. Determine i so that u(i) = 0.
-1, 1
Factor -8*d**2 - 34 + 12*d + 8*d**3 - 20*d**3 + 42.
-4*(d - 1)*(d + 1)*(3*d + 2)
Factor 2/15*s**3 + 0 + 0*s - 2/15*s**2.
2*s**2*(s - 1)/15
Let w(z) be the third derivative of z**8/336 + z**7/35 + 13*z**6/120 + z**5/5 + z**4/6 - 4*z**2. Suppose w(c) = 0. Calculate c.
-2, -1, 0
Let y(c) be the second derivative of c**7/21 - c**6/15 - 3*c**5/5 + 2*c**4/3 + 8*c**3/3 - 4*c. Factor y(d).
2*d*(d - 2)**2*(d + 1)*(d + 2)
Let p be 11/88*2/45. Let q(a) be the third derivative of 0*a + 5/144*a**4 + 1/36*a**3 + p*a**6 + 1/45*a**5 + 0 + a**2. Factor q(u).
(u + 1)*(2*u + 1)**2/6
Let l = -79 - -406/5. Factor -l*k**3 - 7/5*k**5 + 2/5*k**2 + 0*k + 16/5*k**4 + 0.
-k**2*(k - 1)**2*(7*k - 2)/5
Suppose -2*c = 9 + 1, -4*m - 3*c = 7. Let 0*q**3 - 1/4*q**5 + 1/4*q + 1/2*q**4 - 1/2*q**m + 0 = 0. Calculate q.
-1, 0, 1
Factor -26 + 26 - 3*d - d**2.
-d*(d + 3)
Let x(n) = n**3 - 10*n**2 + 8*n - 3. Let k be x(6). Let z be 24/k*(-9)/12. Let -2/11*i**3 + 0 + 0*i**2 + z*i = 0. What is i?
-1, 0, 1
Let q(y) be the second derivative of y**6/3 + 9*y**5/4 + 35*y**4/6 + 15*y**3/2 + 5*y**2 + 51*y. Factor q(o).
5*(o + 1)**2*(o + 2)*(2*o + 1)
Factor 4*y + 9 - 15*y + 5*y - 3*y**2.
-3*(y - 1)*(y + 3)
Let t(v) be the second derivative of 0*v**2 + 0 - 1/9*v**4 - 1/3*v**3 - 1/108*v**6 + v - 1/15*v**5. Let g(h) be the second derivative of t(h). Factor g(w).
-2*(w + 2)*(5*w + 2)/3
Let v(i) be the first derivative of -15*i**4/7 - 4*i**3/21 + 4*i**2/7 + 9. Let v(z) = 0. What is z?
-2/5, 0, 1/3
Suppose 2*l + 6 = -2*t, 4*t + 7 = -l - 8. Factor z**2 - 1 + z**2 - l + 0.
2*(z - 1)*(z + 1)
Solve -1 + g**2 + 1/2*g**3 - 1/2*g = 0.
-2, -1, 1
Let h = -11 + 12. Let a(b) = -b**4 + b**3 + b**2 - b + 1. Let m(q) = 8*q**4 - 8*q**3 - 12*q**2 + 12*q - 12. Let p(d) = h*m(d) + 12*a(d). Factor p(v).
-4*v**3*(v - 1)
Determine q, given that -1/5*q**2 - 2/5*q - 1/5 = 0.
-1
Let f(i) be the second derivative of i**4/27 + 16*i**3/27 - 2*i**2 - 12*i. Let f(o) = 0. What is o?
-9, 1
Let z(h) be the second derivative of h**8/1512 - h**7/315 + h**6/180 - h**5/270 - 2*h**2 + 2*h. Let w(k) be the first derivative of z(k). Solve w(d) = 0.
0, 1
Let x(a) be the second derivative of 0 - 1/15*a**4 - 1/6*a**3 - 1/5*a**2 - a - 1/100*a**5. Factor x(r).
-(r + 1)**2*(r + 2)/5
Let w(s) be the third derivative of -s**10/15120 - s**9/3780 + s**7/630 + s**6/360 + s**4/6 + 5*s**2. Let h(a) be the second derivative of w(a). Factor h(g).
-2*g*(g - 1)*(g + 1)**3
Let v(c) be the first derivative of c**6/120 + c**5/20 - 2*c**3/3 + 2. Let s(n) be the third derivative of v(n). Factor s(p).
3*p*(p + 2)
Let z(a) be the second derivative of -a**7/735 - a**6/210 - a**5/210 + a**2 + 2*a. Let j(q) be the first derivative of z(q). Solve j(o) = 0 for o.
-1, 0
Let o be (-15)/(-6)*4*(-4)/(-10). Let x(i) be the first derivative of 2 - 2/15