 + 1/15*a**6 + 0*a**3. Factor u(d).
2*d**2*(d - 1)**2
Let m(p) be the second derivative of 0*p**4 - 2*p + 1/35*p**5 + 0*p**2 + 0 - 2/21*p**3. Determine y, given that m(y) = 0.
-1, 0, 1
Let d(r) be the second derivative of -r**7/11340 - r**6/1080 - r**5/270 - 9*r**4/4 + 6*r. Let i(g) be the third derivative of d(g). Factor i(u).
-2*(u + 1)*(u + 2)/9
Let r(h) be the second derivative of 0 + 1/42*h**4 + 22*h + 1/21*h**3 - 2/7*h**2. Suppose r(m) = 0. Calculate m.
-2, 1
Let s(t) be the second derivative of -t**6/6 + 19*t**5/4 - 65*t**4/2 + 290*t**3/3 - 140*t**2 - 75*t. What is g in s(g) = 0?
1, 2, 14
Suppose 0*w - 3*w + 24 = 0. Factor 4 + 3*s**2 - 4*s**2 - w - 2*s + 3*s**2.
2*(s - 2)*(s + 1)
Let -2*p**3 - 14*p**2 + 0 + 3/2*p**4 - 8*p = 0. Calculate p.
-2, -2/3, 0, 4
Let r(c) be the second derivative of 3*c**5/20 - 3*c**4/4 - 2*c**3 + 18*c**2 + 110*c - 1. Factor r(j).
3*(j - 3)*(j - 2)*(j + 2)
Suppose -4*r = -5*y - 27, 4 = 5*y - 1. Suppose d - r = -3*d. Factor 107*g**3 - 2*g**2 + 2*g**d - 106*g**3.
g**3
Let i(r) be the first derivative of 4*r**3/3 - 304*r**2 + 23104*r - 421. Factor i(f).
4*(f - 76)**2
Let t = -683 + 683. Let r(u) be the third derivative of 1/2*u**3 + t - u**2 - 1/4*u**4 + 1/20*u**5 + 0*u. Solve r(v) = 0 for v.
1
Let q be (8/21)/(0 - 14/(-210)). Find v such that -32/7*v - q + 2/7*v**3 - 2/7*v**2 = 0.
-2, 5
Let y(u) be the second derivative of u**8/2400 + 4*u**7/1575 + 11*u**6/1800 + u**5/150 - u**4/3 - 16*u. Let o(r) be the third derivative of y(r). Factor o(b).
2*(b + 1)**2*(7*b + 2)/5
Let n be (4/11)/(42/77). Let v be (-2)/(-6)*(-8)/(-4). Let 0*c + 0 - v*c**2 + n*c**3 = 0. Calculate c.
0, 1
Let j(u) = u**4 - u**3 - u**2 + u - 2. Let g(k) = 2*k**4 + 3*k**3 - 52*k**2 - 93*k - 34. Let m(t) = g(t) + 3*j(t). Factor m(h).
5*(h - 4)*(h + 1)**2*(h + 2)
Let o(x) = -2*x**2 + 16*x + 9. Let y be o(-9). Let a = y + 893/3. Factor -4/3*d**3 - 2/3 - a*d**4 + 4/3*d**2 + 2/3*d**5 + 2/3*d.
2*(d - 1)**3*(d + 1)**2/3
Determine n so that -28/3*n**3 + 1/3*n**5 - 10/3*n**4 + 0 + 32*n + 40/3*n**2 = 0.
-2, 0, 2, 12
Let o(f) = f - 1. Let r(z) = 2*z**2 + 14*z - 4. Let n(k) = 2*k**2. Let b be n(-2). Let l(q) = b*o(q) - r(q). What is j in l(j) = 0?
-2, -1
Let f(w) be the third derivative of 0*w**3 - 2/45*w**6 - 10*w**2 - 1/63*w**7 + 0 - 1/504*w**8 + 0*w - 2/45*w**5 + 0*w**4. Factor f(y).
-2*y**2*(y + 1)*(y + 2)**2/3
Let l(t) be the second derivative of t**4/4 - 4*t**3 - t + 21. Factor l(q).
3*q*(q - 8)
Let t(a) be the second derivative of a**5/80 + a**4/6 - 3*a**3/8 + 48*a + 5. Factor t(i).
i*(i - 1)*(i + 9)/4
Let q = 113/4 + -28. Let w = -6 - -9. Factor -1/4*r**w - q + 1/4*r**2 + 1/4*r.
-(r - 1)**2*(r + 1)/4
Let s(p) be the first derivative of -p**5/240 + p**4/32 + p**3/6 - 27*p**2/2 + 21. Let j(v) be the second derivative of s(v). Determine h so that j(h) = 0.
-1, 4
Let d(x) be the second derivative of -5*x**4/12 + 155*x**3/6 - 75*x**2 + 12*x + 13. Suppose d(u) = 0. Calculate u.
1, 30
Suppose 3*f + 19 = 6*q - q, -2*q + 3*f = -13. Factor 4*w**2 + q*w**2 - 2*w**5 + 9*w**3 - w**5.
-3*w**2*(w - 2)*(w + 1)**2
Let n = -11 - -7. Let j be (-45)/(-276) - n/46. Suppose -j + 0*d + 1/4*d**2 = 0. What is d?
-1, 1
What is w in -100*w**2 + 24*w - 49639 + 49639 - 36*w**3 = 0?
-3, 0, 2/9
Let r = -1/1228 - -1231/3684. Let n(g) be the second derivative of -1/6*g**4 + 2*g**2 - r*g**3 + 0 + 3*g. Let n(y) = 0. What is y?
-2, 1
Suppose 6*i = -5*i + 154. Let a be 6 + -4 + (-2)/(20/i). Find u such that -a*u**2 + 0 - 6/5*u = 0.
-2, 0
Suppose 0*b - 5*b + 10 = 0. Suppose -b*o = -0*o + 2*o. Let 3/4*k**2 + 3/4*k + o = 0. What is k?
-1, 0
Let z(u) = -u**3 - 7*u**2 - 3*u + 24. Let p be z(-6). Let f(q) be the first derivative of 1/5*q**2 - p - 2/15*q**3 + 0*q. Solve f(i) = 0 for i.
0, 1
Let m = 17 - 9. Suppose m*h - 144 = 16. Factor 11 + 12 - 3*q**2 + 3*q - 3*q**3 - h.
-3*(q - 1)*(q + 1)**2
Suppose 4*o - 16 = -2*w, 0 = 3*w + 23*o - 24*o - 3. Factor -1/3*p**4 + 0 + 2/3*p**3 - 2*p + 5/3*p**w.
-p*(p - 3)*(p - 1)*(p + 2)/3
Let x(l) be the first derivative of -l**5 - 5*l**4/4 + 20*l**3 - 10*l**2 - 80*l + 157. Suppose x(m) = 0. Calculate m.
-4, -1, 2
Let n be ((2 - 6) + -5)*32/3. Let o be (n/(-20))/8 + 7/5. Factor 0 + 2/3*w**3 + 0*w + 2/3*w**o.
2*w**2*(w + 1)/3
Let b(h) be the second derivative of -12*h + 5/18*h**4 + 5/18*h**3 - 5/2*h**2 + 0. Solve b(n) = 0 for n.
-3/2, 1
Let y(p) be the first derivative of -p**4/2 - 6*p**3 - 24*p**2 - 40*p + 39. What is g in y(g) = 0?
-5, -2
Suppose 6*q = 2*q. Let g(a) be the third derivative of 0*a - a**2 + q - 1/150*a**5 - 16/15*a**3 + 2/15*a**4. Find k such that g(k) = 0.
4
What is r in 82/15*r + 28/15 - 2/5*r**2 = 0?
-1/3, 14
Let s(z) be the second derivative of -z**7/42 - z**6/15 + z**5/5 + z**4/6 - z**3/2 + 164*z. What is h in s(h) = 0?
-3, -1, 0, 1
Let u = -76555/2 + 38279. Factor -3/2*c**2 + 0*c + u.
-3*(c - 1)*(c + 1)/2
Let g(h) be the second derivative of -4*h + 7/18*h**4 - 2/9*h**3 + 0*h**2 + 0. Let g(d) = 0. Calculate d.
0, 2/7
Factor -16*i**2 + 12*i**3 + 6*i + 14*i - 31*i**3 + 4*i - 4*i - 3*i**4.
-i*(i + 2)*(i + 5)*(3*i - 2)
Let t(w) = w - 3. Suppose -3*b = 5*b - 96. Let v be t(b). Find o, given that o**5 - 12*o**5 + 2*o**5 - 6 + v*o + 30*o**2 - 24*o**4 = 0.
-2, -1, 1/3, 1
Determine f, given that -3*f**3 - 5*f**2 + 17*f**2 - 9*f - 21*f**2 - 3 = 0.
-1
Suppose 5*y = 2*x - 28, -4*y = 21 - 5. Let 6*s**3 + 3*s**4 - 31*s**4 - 7*s**x + 4*s**3 + 30*s**5 = 0. Calculate s.
0, 1/2, 2/3
Let g(p) be the second derivative of -3*p**5/20 - 2*p**4 - 5*p**3/2 + 21*p**2 + 95*p - 2. Factor g(k).
-3*(k - 1)*(k + 2)*(k + 7)
Let v(a) be the second derivative of -a**4/30 - 5*a**3/3 + 26*a**2/5 + 473*a - 1. Factor v(o).
-2*(o - 1)*(o + 26)/5
Let x(z) = -3*z + 4*z + z**2 + 0*z + 0*z. Let f(l) = 2 - 6 + 15*l + 2*l**2 + 0*l**2 - 8*l. Let j(d) = f(d) - 3*x(d). What is n in j(n) = 0?
2
Let p = -12 - -14. Suppose 0 = 2*k + p*k - 64. Factor -4*n**2 - 2*n**2 + n**2 + k*n + 0 - 7*n**3 - 4.
-(n - 1)*(n + 2)*(7*n - 2)
Let k = 215 - 142. Factor -26*a + 5*a**4 - 14*a + 133*a**2 - 30*a**3 - k*a**2.
5*a*(a - 2)**3
Let y = -3954 - -3954. Suppose -81/5*q**4 + 6/5*q**2 + y + 0*q + 9/5*q**3 = 0. Calculate q.
-2/9, 0, 1/3
Let j(i) be the third derivative of i**5/40 + 23*i**4/16 + 19*i**3 - 357*i**2. Solve j(a) = 0.
-19, -4
Factor 43200*f + 227514*f**2 + 31 + 2529 + 15486*f**2 + 455625*f**3.
5*(45*f + 8)**3
Let c = -11 + 11. Let k = 15 - c. Find q, given that -3*q**5 + 2*q**4 - k*q**3 - 2*q**2 + 13*q**3 + 2*q**5 + 3*q**5 = 0.
-1, 0, 1
Let f(l) = 4*l**4 + 8*l**3 - 14*l**2 + 6*l. Let q(y) = 7*y**4 + 16*y**3 - 27*y**2 + 11*y. Let d(u) = -11*f(u) + 6*q(u). Factor d(v).
-2*v**2*(v - 2)**2
Factor -5/4*t**4 + 0*t + 0*t**3 + 10*t**2 - 20.
-5*(t - 2)**2*(t + 2)**2/4
Let y(t) = -2*t**2 + 5. Let u(w) = -344*w - 6 + 344*w + 2*w**2. Let a(d) = -3*u(d) - 4*y(d). Factor a(o).
2*(o - 1)*(o + 1)
Let j(r) be the first derivative of -r**6/9 + 14*r**5/5 - 25*r**4/2 - 722*r**3/9 - 136*r**2 - 96*r - 75. Find t, given that j(t) = 0.
-1, 12
Let d = -1703 + 1705. Determine o so that 6 + 2/3*o**d - 4*o = 0.
3
Suppose 16*u + 0 - 26 = 6. Solve -1/2*r**2 + 2 + 1/2*r**3 - u*r = 0.
-2, 1, 2
Let b(k) be the second derivative of -9*k**7/14 - 5*k**6/2 - 63*k**5/20 - 3*k**4/4 + k**3 + k + 59. Factor b(p).
-3*p*(p + 1)**3*(9*p - 2)
Let y = -17 - -20. Suppose -y*t + 4 = -2*t. Factor t*f + 3*f**2 - f - 4*f**2.
-f*(f - 3)
What is a in -297*a**4 - 12*a - 292*a**3 - 59*a**3 + 54*a**4 - 120*a**2 = 0?
-1, -2/9, 0
Let a = 202220597/329 + -614651. Let y = a - 6/47. Solve y*m**2 - 26/7*m + 6/7 = 0.
1/4, 3
Factor 30 + 123*a + 114*a - 253*a + 2*a**2.
2*(a - 5)*(a - 3)
Let c(a) = -3*a**2 - 32*a + 11. Let l be c(-11). Factor -3/5*d + l - 3/5*d**2.
-3*d*(d + 1)/5
Let m(u) = -268*u**2 - 814*u + 19. Let g(l) = 134*l**2 + 406*l - 9. Let a(j) = 7*g(j) + 3*m(j). Factor a(q).
2*(q + 3)*(67*q - 1)
Let b(g) be the second derivative of -g**7/28 - 2*g**6/5 + 57*g**5/40 - 5*g**4/4 - 57*g. Factor b(t).
-3*t**2*(t - 1)**2*(t + 10)/2
Let s be 1/(3/(-12)) + 7. Let 0 - 3*o**s - 45*o - 6*o**2 - 27 - 6*o**2 - 9*o**2 = 0. What is o?
-3, -1
Let g = 631/2556 - -2/639. Suppose 5*k - 3 = k + 3*x, 3*k - 5*x = -6. Factor -g*f**2 - 1/8*f**k + 1/8*f + 1/4.
-(f - 1)*(f + 1)*(f + 2)/8
Let s(a) be the first derivative of -a**6/40 + a**5/10 + a**4/2 - 4*a**3 - 5*a**2 - 2