 Factor p(o).
(o - 2)*(o + 1)**2/8
Let x(v) be the second derivative of v**4/3 - 28*v**3/3 + 80*v**2 - 2*v - 28. Suppose x(y) = 0. What is y?
4, 10
Let d = -8 + 14. Let h(o) = 6 + 26*o + 31*o + 25*o + 5*o**2 - 78*o. Let r(k) = 6*k**2 + 5*k + 7. Let i(y) = d*r(y) - 7*h(y). Solve i(a) = 0 for a.
-2, 0
Suppose -5*y = -1 - 24. Suppose 6 - 21*v + 4 - 30*v**y - 3*v**2 + 51*v**3 - 4 - 5*v**4 + 2*v**4 = 0. What is v?
-1, 2/5, 1/2, 1
Let o(x) be the second derivative of -x**6/70 + 6*x**5/35 - 5*x**4/28 - x**3 + 255*x. Determine g, given that o(g) = 0.
-1, 0, 2, 7
Let i(f) = -14*f. Let h be i(-1). Find d such that h*d**4 - 14*d**2 - 1 + 6*d - d**4 - 6*d**3 - 3*d**4 + 5 = 0.
-1, -2/5, 1
Let c(v) = -12*v + 3. Let u be c(3). Let g = u + 33. Factor -1/2*d**3 + 0*d - 1/4*d**4 + g - 1/4*d**2.
-d**2*(d + 1)**2/4
Let a = 597007/4200 + -995/7. Let r(c) be the third derivative of -1/60*c**5 + 5*c**2 + 0 + 1/15*c**4 + 0*c + a*c**6 - 2/15*c**3. Suppose r(w) = 0. What is w?
1, 2
Let 4/11*h**3 + 0 + 8/11*h**2 - 6/11*h - 8/11*h**4 + 2/11*h**5 = 0. Calculate h.
-1, 0, 1, 3
Let b(r) be the first derivative of r**8/7560 - r**7/1260 + r**6/540 - r**5/540 - 5*r**3 - 11. Let l(f) be the third derivative of b(f). Factor l(g).
2*g*(g - 1)**3/9
Let -19*t + 361/2 + 1/2*t**2 = 0. Calculate t.
19
Let i be 495/550*(-4)/(-6). Let f(s) be the first derivative of -3*s**2 + 0*s - 1 + 3/2*s**4 - s**3 + i*s**5. Factor f(z).
3*z*(z - 1)*(z + 1)*(z + 2)
Factor -3/5*t**2 - 2352/5 + 168/5*t.
-3*(t - 28)**2/5
Let m(n) be the first derivative of 8*n**2 - 92/3*n**3 + 18*n + 2 - 6/5*n**5 + 16*n**4. Solve m(o) = 0 for o.
-1/3, 1, 9
Let k(j) be the first derivative of -95*j**6/6 - 59*j**5 - 125*j**4/4 + 275*j**3/3 + 110*j**2 + 20*j + 264. Determine q so that k(q) = 0.
-2, -1, -2/19, 1
Let 11*c**2 - 28*c**3 - 30*c**4 + 49*c**2 - 36*c + 34*c**4 = 0. What is c?
0, 1, 3
Let s(g) = g**2 + 6*g - 7. Let d = 25 - 10. Let c(w) = w - 1. Let u(v) = d*c(v) - 3*s(v). Suppose u(n) = 0. What is n?
-2, 1
Let j be (-1*(0 + -3))/(1/(-35)). Let c = -102 - j. Suppose -2/9*o**c - 8/9*o**2 + 0 - 2/9*o + 4/3*o**4 = 0. What is o?
-1/2, -1/3, 0, 1
Let z(x) be the second derivative of -3/22*x**4 - 15*x + 8/11*x**3 + 0 + 1/110*x**5 - 16/11*x**2. Find w such that z(w) = 0.
1, 4
Let b(y) = 4*y - 33. Let k be b(9). Let j(t) be the second derivative of -1/7*t**2 + k*t - 1/14*t**3 + 0 - 1/84*t**4. Let j(w) = 0. What is w?
-2, -1
Let m(n) be the third derivative of n**7/1120 - n**5/160 - n**3/2 + 15*n**2. Let k(r) be the first derivative of m(r). Solve k(c) = 0 for c.
-1, 0, 1
Let o(p) be the third derivative of -1/210*p**6 + 2*p**2 + 0*p + 0 + 1/14*p**4 + 2/105*p**5 + 0*p**3. Suppose o(g) = 0. Calculate g.
-1, 0, 3
Factor -1/4*b**2 + 3/2 - 1/4*b.
-(b - 2)*(b + 3)/4
Let r be 17/3 - 3/(-9). Factor 5*s**3 + r*s**2 + 7*s**2 - 8*s**2.
5*s**2*(s + 1)
Let x(z) be the second derivative of z**5/4 - 35*z**4/12 + 160*z. What is v in x(v) = 0?
0, 7
Let a(l) be the first derivative of -5/9*l**3 + 0*l**2 + 30 - 5/24*l**4 + 0*l. Factor a(j).
-5*j**2*(j + 2)/6
Let m = -42 + 88. Suppose m = -3*i + 898. Factor -12*r**4 + 9*r**2 + 284*r**3 + 3*r - i*r**3.
-3*r*(r - 1)*(2*r + 1)**2
Suppose -292*h = 13*h + 203 - 1118. Solve -3*p**5 + 48/5*p**2 + 0 + 9*p**h - 6/5*p**4 + 12/5*p = 0 for p.
-1, -2/5, 0, 2
Let x be (-34)/143 - 276/(-506). What is n in -2/13*n - 2/13*n**5 - x*n**2 + 4/13*n**3 + 2/13*n**4 + 2/13 = 0?
-1, 1
Let g(i) be the first derivative of i**4/24 + 7*i**3/9 + 25*i**2/12 + 2*i - 19. Factor g(n).
(n + 1)**2*(n + 12)/6
Suppose 16*x**2 + 0 - 36*x - 4/3*x**3 = 0. Calculate x.
0, 3, 9
Let k(a) be the third derivative of 0*a + 0 - 1/16*a**4 - 1/240*a**6 - 1/40*a**5 + 15*a**2 - 1/12*a**3. Factor k(g).
-(g + 1)**3/2
Suppose -3*r + 8 = -22. Let v be (-2)/(-44)*40/r. Let 0*y**2 - 2/11*y + 0 + v*y**3 = 0. Calculate y.
-1, 0, 1
Let x(m) be the second derivative of -5/2*m**2 + 0 - 34*m - 1/10*m**5 + 1/6*m**3 - 1/6*m**6 + 1/42*m**7 + 5/6*m**4. Factor x(z).
(z - 5)*(z - 1)**2*(z + 1)**2
Suppose 4*d + 126/5*d**2 + 0 + 104/5*d**3 + 56/5*d**5 - 306/5*d**4 = 0. Calculate d.
-2/7, -1/4, 0, 1, 5
What is y in -72/7 - 2/7*y**2 + 24/7*y = 0?
6
Let i(v) = v**2 + 4*v - 2. Let q be i(-6). Solve -2 + 2*w + 4*w**3 + 4*w - 6*w**4 - q*w + 8*w**2 = 0.
-1, -1/3, 1
Find j such that 16*j + 6 + 12 + 8*j**3 - 28*j**2 - 18 + 8*j**2 - j**4 = 0.
0, 2, 4
Let r(n) = n**4 + n**3 - 5*n**2 - n + 4. Let g(f) = f**3 - f**2 - f + 1. Let i(j) = 2*g(j) - r(j). Factor i(d).
-(d - 2)*(d - 1)*(d + 1)**2
Let y(p) be the third derivative of -2/315*p**7 + 0 + 0*p + 1/504*p**8 - 8/9*p**3 + 1/9*p**4 - 20*p**2 + 1/9*p**5 - 1/36*p**6. Determine u, given that y(u) = 0.
-2, -1, 1, 2
Let u(g) be the second derivative of 26*g - 5/2*g**2 - 1/2*g**5 - 7/6*g**6 + 10/21*g**7 + 10/3*g**4 + 0 - 5/3*g**3. Determine n so that u(n) = 0.
-1, -1/4, 1
Let a = 856/3 + -281. Let m = -13/555 + 251/185. Factor a*r + m - 7/6*r**2.
-(r - 4)*(7*r + 2)/6
Factor -29*t + 19*t**2 - 109*t - 5*t**3 - 79*t**2 - 320 - 102*t.
-5*(t + 4)**3
Let c be (-22)/(-8) + (-1)/(-4). Let u(z) = -4*z**2 + 96*z + 4. Let g be u(24). Factor 2*l**c - 6*l + 2*l + g*l - 2*l.
2*l*(l - 1)*(l + 1)
Let l(d) = -938*d - 2812. Let q be l(-3). Suppose 1/2*u**3 + 0 + 5/2*u**2 + q*u = 0. What is u?
-4, -1, 0
Factor -8/13*o**2 - 4/13 - 2/13*o**3 - 10/13*o.
-2*(o + 1)**2*(o + 2)/13
Suppose d - 3 = -2*a, 0 = -35*d + 33*d + 6. Factor 0*u + a + 6/5*u**4 + 2/5*u**2 - 2/5*u**5 - 6/5*u**3.
-2*u**2*(u - 1)**3/5
Suppose 0*z = 4*z - 12. Suppose z*d + 3 = 0, -3 = -4*a - 3*d - 2*d. Find k, given that 0*k + 6*k**4 - 2*k**3 - 6*k**2 + 2*k + a*k - 2*k = 0.
-1, 0, 1/3, 1
Let v(a) = -47*a**4 - 32*a**3 - 5*a**2 + 19*a + 26. Let z(s) = 22*s**4 + 16*s**3 + 2*s**2 - 10*s - 12. Let w(j) = -6*v(j) - 13*z(j). Factor w(m).
-4*m*(m - 1)*(m + 1)*(m + 4)
Let j(f) = 5*f**3 + 3*f**2 - f. Let m be j(2). Let t be (-24)/m*40/(-12). Solve t*a + 8/5*a**3 - 2/5*a**4 - 12/5*a**2 - 2/5 = 0 for a.
1
Let w be (-3)/(-6) - 10/(-4). Let r(i) be the second derivative of 1/15*i**6 + 3*i + 3/40*i**5 + 0*i**2 - 1/24*i**4 + 0 + 0*i**w. Determine m so that r(m) = 0.
-1, 0, 1/4
Let k be 906/(-151) + ((-4)/(-6))/((-8)/(-126)). Suppose k*f + 0 + 21/2*f**2 = 0. Calculate f.
-3/7, 0
Suppose 1521/5*j**4 - 1677/5*j**3 + 0 - 4/5*j + 32*j**2 = 0. What is j?
0, 2/39, 1
Let p(o) be the third derivative of -o**5/18 + 31*o**4/180 - 2*o**3/15 + 637*o**2. Find h such that p(h) = 0.
6/25, 1
Suppose 3*m - 15 = -3. Suppose 5*n + 25 = 0, -m*n - 17 = u + 1. Factor 15*w - 3*w**u + 0 - 7 + 3*w**3 + 1 - 9*w**2.
3*(w - 2)*(w - 1)**2
Let j(p) be the second derivative of p**10/6048 - p**8/1344 - 11*p**4/12 + 7*p. Let s(h) be the third derivative of j(h). Let s(x) = 0. Calculate x.
-1, 0, 1
Let 25 - 30*k**3 + 55/2*k - 595/2*k**2 = 0. Calculate k.
-10, -1/4, 1/3
Suppose 5*p = -3*h - 10, 2*p - 3*p - 2 = h. Suppose -4*u = 4*k - 16, -4*k + h*u - u = -4. Factor 0*r + k - 5/4*r**3 - 1/2*r**2 - 3/4*r**4.
-r**2*(r + 1)*(3*r + 2)/4
Let f(m) = -m**3 - 5*m**2 + 5*m + 11. Let k be f(-6). Suppose -k + 5 = -z. Suppose 9*u**2 + z*u**3 + 12*u + 3*u**4 + 3 - 2*u**2 + 11*u**2 = 0. Calculate u.
-1
Let w be (-9)/40 - (-20)/80. Let l(v) be the second derivative of 1/12*v**3 + 1/12*v**4 - 2*v + w*v**5 + 0 + 0*v**2. Solve l(h) = 0.
-1, 0
Let x be 2*(-3)/(-2) - -1. Suppose -g = 2*g - 21. Let s(n) = -n**2 - 7*n. Let z(q) = q**2 + 13*q. Let r(v) = g*s(v) + x*z(v). Let r(b) = 0. Calculate b.
0, 1
Let m(n) = -5*n. Let a(c) = -c**2 + 11. Let g(k) = -a(k) - 2*m(k). Factor g(j).
(j - 1)*(j + 11)
Let q(i) be the first derivative of -i**4/16 + 5*i**3/12 + i**2/8 - 5*i/4 + 12. Determine f, given that q(f) = 0.
-1, 1, 5
Let a(k) = 30*k**3 + 60*k**2 - 240*k + 25. Let m(h) = -5*h**3 - 10*h**2 + 40*h - 4. Let w(z) = -4*a(z) - 25*m(z). What is c in w(c) = 0?
-4, 0, 2
Factor -1/2*y**5 + 0*y**2 + y**3 - 1/2*y + 0 + 0*y**4.
-y*(y - 1)**2*(y + 1)**2/2
Let k = 581 - 577. Factor 0 - 9/5*b**3 - 9/5*b**2 - 3/5*b - 3/5*b**k.
-3*b*(b + 1)**3/5
Let n(l) = 7*l**4 + 31*l**3 - 7*l**2 - 23*l - 8. Let h(r) = 5*r**4 + 20*r**3 - 5*r**2 - 15*r - 5. Let i(m) = -8*h(m) + 5*n(m). Solve i(q) = 0 for q.
-1, 0, 1
Let l(o) = -23*o**2 + o + 5. Let z = -56 - -94. Let p(h) = h + 2*h**2 - z + 39 - 3*h**2. Let r(f) = -l(f) + 5*p(f). Find q such that r(q) = 0.
-2/9, 0
Factor 200337*q + 57*q**2 -