- 672*o + 571. Let g(a) = 14*a**3 - 142*a**2 + 1008*a - 856. Let d(w) = -5*g(w) - 8*y(w). Suppose d(t) = 0. Calculate t.
1, 12
Let v(d) be the second derivative of 2 + 2*d + 0*d**2 - 4/21*d**3 + 5/147*d**7 + 0*d**4 + 6/35*d**6 + 17/70*d**5. Let v(i) = 0. Calculate i.
-2, -1, 0, 2/5
Let g be 3/((-10)/(-4) - -1). Let v = 39903/30905 - 24/4415. Suppose 3/7*y**2 - v*y + g = 0. Calculate y.
1, 2
Suppose -f + 12*f - 143 = 0. Let f*p**2 + 6*p**3 + 12 - 6*p**4 + 4*p**4 + p**2 - 22*p - 8*p**2 = 0. Calculate p.
-2, 1, 3
Let j(t) = -t - 3. Let i = 21 - 28. Let l be j(i). Suppose -391*q + 6*q**2 + 391*q - 9*q**3 + 3*q**l = 0. What is q?
0, 1, 2
Let i(t) = -t**3 - 6*t**2 + 5*t - 6. Let y be i(-7). Determine d, given that -4*d**4 - 6*d**2 - d**2 + 19*d**2 + y*d = 0.
-1, 0, 2
Let v(p) be the first derivative of -p**5/20 + p**4/2 - 3*p**3/2 + 4*p + 27. Let s(a) be the first derivative of v(a). Factor s(n).
-n*(n - 3)**2
Let v(u) be the first derivative of 0*u**2 - 1 + 1/14*u**4 + u - 1/14*u**3 - 3/140*u**5. Let o(j) be the first derivative of v(j). Solve o(l) = 0 for l.
0, 1
Let t(k) be the third derivative of k**5/120 + k**4/8 + 91*k**2. Suppose t(a) = 0. Calculate a.
-6, 0
Factor 69/2*m**3 + 3/2*m**4 + 0 - 75*m**2 + 0*m.
3*m**2*(m - 2)*(m + 25)/2
Let t(h) be the third derivative of h**8/28 - 13*h**7/35 + 33*h**6/160 + 49*h**5/40 - 49*h**4/32 + 3*h**3/4 + 14*h**2 + 3*h. Determine r so that t(r) = 0.
-1, 1/4, 1, 6
Let l(z) = 9 - 4*z - 4 - 8*z**3 - 9*z**2 + 15*z**3 + 11*z. Let p(h) = 22*h**3 - 28*h**2 + 22*h + 16. Let k(t) = -16*l(t) + 5*p(t). Factor k(b).
-2*b*(b - 1)**2
Let v = 45/662 + 143/331. Find l, given that 0*l + v - 1/2*l**2 = 0.
-1, 1
Let z be -1 + 0/(-5) + 3. Let w be ((-90)/(-108))/(z/4). Determine k so that -2/3 - 7/3*k - 3*k**2 - w*k**3 - 1/3*k**4 = 0.
-2, -1
Suppose z + 9 = 4*p, -24 = 2911*z - 2915*z - 4*p. Factor 4/9*t**2 + 2/9*t**z + 0 + 2/9*t.
2*t*(t + 1)**2/9
Let r be (66/(-77))/(2/(-14)). Factor 9*o + 5 - 8 + 3*o**3 - 12*o**2 - 3*o**2 + r*o**2.
3*(o - 1)**3
Let v = 11897/14262 + -2/2377. Let i(z) be the first derivative of 7/3*z**2 + v*z**4 - 4/3*z + 2 - 2/15*z**5 - 2*z**3. Determine f so that i(f) = 0.
1, 2
Suppose 35 = -13*h + 126. Suppose 0 = -n - h + 9. Factor 3/7*w**n + 6/7*w + 3/7.
3*(w + 1)**2/7
Suppose 5*p - 3 - 11 = -d, 4*p + 4 = 3*d. Factor 7*k**4 + 2*k**2 + k**2 - 4*k**4 - 12*k + 10*k**3 - d.
(k - 1)*(k + 2)**2*(3*k + 1)
Let a(c) be the second derivative of 0 - 1/28*c**4 + 3/14*c**3 - 32*c - 3/7*c**2. Factor a(p).
-3*(p - 2)*(p - 1)/7
Let a(i) be the second derivative of 2*i**6/15 - 3*i**5/5 + 2*i**4/3 - 38*i. Let a(o) = 0. Calculate o.
0, 1, 2
Factor -23*z**2 + 33/2*z + 15*z**3 - 9/2*z**4 + 1/2*z**5 - 9/2.
(z - 3)**2*(z - 1)**3/2
Let q(n) be the second derivative of n**6/3 + 43*n**5/10 + 39*n**4/2 + 27*n**3 - 54*n**2 - 162*n. Factor q(v).
2*(v + 3)**3*(5*v - 2)
Suppose 12*m - 9*z + 5*z + 24 = 0, -m - z = -6. Find v, given that -18/7*v**3 - 27/7*v**4 + 0*v - 12/7*v**5 + m - 3/7*v**2 = 0.
-1, -1/4, 0
Suppose 4*k - 99 = 4*u + 109, 0 = 2*k - 5*u - 92. Let g be 72/k - (-2 + 3). Find j, given that 0*j**2 - 1/7*j**4 + 1/7 + 2/7*j**3 - g*j = 0.
-1, 1
Suppose -213*o + 116*o = -109*o. Factor o*b**2 + 1 - 1/2*b**3 + 3/2*b.
-(b - 2)*(b + 1)**2/2
Let j(x) be the second derivative of 2/21*x**7 - 29*x + 0*x**2 + 2/3*x**3 + 0 - 2/5*x**5 + 0*x**6 + 0*x**4. Factor j(b).
4*b*(b - 1)**2*(b + 1)**2
Let m(a) be the second derivative of -3*a**5/40 + 5*a**4/6 - 7*a**3/12 - 15*a**2/2 - 2*a - 27. Factor m(b).
-(b - 6)*(b + 1)*(3*b - 5)/2
Let x(f) = -f**3 - 5*f**2 - 3*f + 9. Let a be x(-4). Find w, given that 0*w**3 + 24*w + w**2 - 6*w**4 - 12*w - 9*w**3 + 11*w**2 + 3*w**a = 0.
-1, 0, 2
Suppose 173/6*x**2 + 1/6*x**5 - 88/3 - 73/6*x**3 + 1/2*x**4 + 12*x = 0. What is x?
-11, -1, 1, 4
Let c = 2655 + -2651. Suppose -5*r**3 - 65/6*r**2 - 10*r - 5/6*r**c - 10/3 = 0. Calculate r.
-2, -1
Suppose -2*q - 3*q + 315 = 0. Suppose -3*h + 6*h = q. Factor -20*i**2 - 2 + 1 + h*i**2.
(i - 1)*(i + 1)
Suppose -54*a + 28*a = -17*a - 19*a. Find r, given that 4/9*r**5 + 0*r**3 - 8/9*r**4 + a - 4/9*r + 8/9*r**2 = 0.
-1, 0, 1
Let k(z) = z**3 - 12*z**2 - 27*z - 12. Let h be k(14). Let x(c) be the first derivative of -5 - 2/45*c**3 - 2/15*c**h + 0*c. Determine u so that x(u) = 0.
-2, 0
Let b(j) be the second derivative of -1/30*j**5 + 0 + 1/240*j**6 + j**2 + 5/48*j**4 - 1/6*j**3 - 4*j. Let r(x) be the first derivative of b(x). Factor r(v).
(v - 2)*(v - 1)**2/2
Let j(r) be the first derivative of -r**7/210 - 2*r**6/45 - r**5/6 - r**4/3 - 4*r**3/3 + 9. Let z(n) be the third derivative of j(n). Factor z(g).
-4*(g + 1)**2*(g + 2)
Let q(x) be the third derivative of 0*x**3 - 1/270*x**6 + 0*x + 10*x**2 + 0*x**4 + 1/135*x**5 + 0. Let q(s) = 0. Calculate s.
0, 1
Let b(w) = 11*w**2 + 39*w + 6. Let t(i) = 65*i**2 + 235*i + 35. Let v be 634/(-18) - 30/(-135). Let u(q) = v*b(q) + 6*t(q). Let u(k) = 0. What is k?
-9, 0
Let w be 4/20*(-5)/(-4). Let z be 0 + -3 + 0 + (30/(-30) - -6). Factor w*f**z + 0*f - 1/4.
(f - 1)*(f + 1)/4
Let x(d) = d**2 - 44*d - 475. Let n be x(53). Factor 4/7*u**n - 2/7*u + 2/7*u**3 - 4/7.
2*(u - 1)*(u + 1)*(u + 2)/7
Solve -12*o**4 + 3*o**5 - 8*o**2 - 25*o**3 - 3*o**5 + 21*o**3 + 20*o**2 + 4*o**5 = 0.
-1, 0, 1, 3
Let t(g) be the third derivative of 1/90*g**6 - 5/72*g**4 - 1/90*g**5 - 1/9*g**3 + 0 + 11*g**2 + 2/315*g**7 + 0*g + 1/1008*g**8. Solve t(a) = 0.
-2, -1, 1
Let j(g) be the first derivative of -g**7/3360 - g**6/480 + 7*g**3/3 - 13. Let m(d) be the third derivative of j(d). Let m(k) = 0. Calculate k.
-3, 0
Let i = -281 - -229. Let x be (-1)/(-4) - 65/i. Determine o, given that 3/4*o**2 + 3/4 + x*o = 0.
-1
Let x(u) be the second derivative of -u**5/110 - 2*u**4/33 - 4*u**3/33 + 3*u + 16. Factor x(p).
-2*p*(p + 2)**2/11
Factor -10*f**2 - 8*f**2 + 52*f + 26*f**2 - 676 - 9*f**2.
-(f - 26)**2
Factor 58*t**3 - 16*t**2 - 12*t**2 - 16*t**4 - 25*t**4 + 9*t**4 + 2*t**5.
2*t**2*(t - 14)*(t - 1)**2
Let f(h) be the first derivative of 1/13*h**2 + 0*h - 2/39*h**3 - 2 - 1/26*h**4 + 2/65*h**5. Factor f(m).
2*m*(m - 1)**2*(m + 1)/13
Let z = -9091/2 - -4546. Factor -z*c + 0 + 3/4*c**3 + 1/4*c**2.
c*(c + 1)*(3*c - 2)/4
Suppose 50 = 15*f - 13*f. Suppose -11 = -2*z - 2*r - 1, -z + 5*r = f. Solve z + 1/2*n + 1/4*n**2 = 0 for n.
-2, 0
Let y(t) be the first derivative of 4/21*t**3 + 3 + 0*t**2 + 2/105*t**6 + 4/35*t**5 + 5/21*t**4 - t. Let r(x) be the first derivative of y(x). Factor r(i).
4*i*(i + 1)**2*(i + 2)/7
Let c(d) be the third derivative of 1/210*d**7 + 1/24*d**4 + 0*d**3 + 1/40*d**6 + 1/20*d**5 + 0*d + 13*d**2 + 0. Find u, given that c(u) = 0.
-1, 0
Let s(z) be the second derivative of z**4/24 + 13*z**3/6 + 169*z**2/4 - 48*z + 1. Find x, given that s(x) = 0.
-13
Solve -z**2 + 1 - 1/2*z + 1/2*z**3 = 0.
-1, 1, 2
Let a(x) be the third derivative of -x**6/600 - x**5/75 - x**4/40 + 16*x**2 + 1. Factor a(g).
-g*(g + 1)*(g + 3)/5
Let h(d) = d - 25. Let j be h(19). Let a(b) = -4*b**3 - 8*b**2 - 8*b + 14. Let p(l) = 11*l**3 + 23*l**2 + 24*l - 41. Let k(y) = j*p(y) - 17*a(y). Factor k(o).
2*(o - 2)*(o - 1)*(o + 2)
Let p(l) be the second derivative of -121*l**5/10 + 88*l**4 - 192*l**3 - 3*l + 159. Factor p(t).
-2*t*(11*t - 24)**2
Let g be -4 + 5 - 45/55. Let w(f) be the first derivative of 1/22*f**4 - 4/11*f + 2/55*f**5 - g*f**3 - 5/11*f**2 - 8. Solve w(o) = 0.
-1, 2
Let y = 161 + -156. Suppose 0 = -5*x - z + 17, -3*z - 1 = -4*x + y. Solve -1/3*h**4 - 1/3*h**5 + 1/3*h**x + 1/3*h**2 + 0 + 0*h = 0.
-1, 0, 1
Let k(m) be the third derivative of m**6/120 - m**5/5 + 5*m**4/6 - 7*m**2 + 11*m. Factor k(q).
q*(q - 10)*(q - 2)
Let s(i) be the third derivative of i**8/1008 - i**7/126 + i**6/36 - i**5/18 + 5*i**4/72 - i**3/18 - 7*i**2 - 3. Factor s(u).
(u - 1)**5/3
Suppose d = -3*z + 1 - 11, 2*z + 8 = -d. Let c = z - -4. Factor -4*g**c + 195*g + 4*g**3 - 195*g.
4*g**2*(g - 1)
Let d(f) be the third derivative of 3/20*f**5 + 1/120*f**6 + 0 + 0*f + 5/8*f**4 - 25/6*f**3 - 18*f**2. Factor d(c).
(c - 1)*(c + 5)**2
Let z(n) be the first derivative of 5/3*n**3 - 1/2*n**5 + 5/4*n**2 + 5/12*n**6 - 5/4*n**4 - 10 - 5/2*n. Find j such that z(j) = 0.
-1, 1
Let a = 2639 - 2636. Factor 2/7*s + 0*s**4 - 4/7*s**a + 0*s**2 + 2/7*s**5 + 0.
2*s*(s - 1)**2*(s + 1)**2/7
Let y(w) = 5*w**3 - 60*w - 75. Let v(f) = -1. Let 