 - 8/7*b**3 - 8/7*b**4 + g + 0*b.
-2*b**3*(b + 2)**2/7
Factor -24860 + 16*w**4 - 16*w**2 + 0*w**3 + 4*w**5 + 24860 - 4*w**3.
4*w**2*(w - 1)*(w + 1)*(w + 4)
Let p(u) = -6*u**2. Let t(z) = -z**2. Suppose -3*h = j, j = 4*j - 9. Let y(q) = q**2 - 3*q - 1. Let n be y(4). Let w(b) = h*p(b) + n*t(b). Factor w(a).
3*a**2
Let g(z) be the first derivative of z**7/2100 + z**6/450 - z**5/300 - z**4/30 + 19*z**3/3 + 3. Let m(i) be the third derivative of g(i). What is h in m(h) = 0?
-2, -1, 1
Let r(t) be the third derivative of 5*t**8/1512 - 13*t**7/945 + t**6/60 + t**5/270 - t**4/54 - 2*t**2 - 103. Suppose r(x) = 0. Calculate x.
-2/5, 0, 1
Let m(q) be the second derivative of -q**6/135 + q**4/18 - 2*q**3/27 + 2*q + 32. Let m(p) = 0. What is p?
-2, 0, 1
Suppose 0*y - 18 = -2*y. Find w, given that 5*w - 12*w - 1 - y*w + 17 - 12*w**2 = 0.
-2, 2/3
Let d(f) be the first derivative of -f + 0*f**4 + 3/80*f**5 + 7 - 3/8*f**3 - 3/4*f**2. Let x(u) be the first derivative of d(u). Factor x(n).
3*(n - 2)*(n + 1)**2/4
Factor 88*t + 410 + 2*t**2 + 576 - 18.
2*(t + 22)**2
Factor -44*p + 5 - 11 + 11*p**2 + 10*p**2 - 5*p**2 - 6.
4*(p - 3)*(4*p + 1)
Let l(v) be the second derivative of -v**5/35 - 2*v**4/21 + 8*v**3/21 + 16*v**2/7 - 19*v + 3. Factor l(c).
-4*(c - 2)*(c + 2)**2/7
Let y = 62 - 27. Suppose 0 = -5*a + y - 10. Factor 0*o + 2*o**5 + a*o**2 - 2*o - o**2 - 4*o**4.
2*o*(o - 1)**3*(o + 1)
Let j(f) be the second derivative of 0 - 7/90*f**4 + 12*f - 2/45*f**3 + 0*f**2 + 3/50*f**5. Factor j(o).
2*o*(o - 1)*(9*o + 2)/15
Let r(g) = 16*g**2 - 84*g + 68. Let j(v) = 5*v**2 - 28*v + 23. Let p(c) = -10*j(c) + 3*r(c). Factor p(a).
-2*(a - 13)*(a - 1)
Let t = -53 + 55. Let 940*v**2 - v**3 - 3*v**3 - 6*v - 928*v**2 - t*v = 0. Calculate v.
0, 1, 2
Let a(k) = -8*k**3 + 48*k**2 + 4. Let t be a(6). Factor 8/5 - 1/5*v**t - 6/5*v**2 - 4/5*v + v**3.
-(v - 2)**3*(v + 1)/5
Let o(q) be the second derivative of -3/2*q**2 + 0*q**3 + 0 + 1/4*q**4 + 4*q. Factor o(c).
3*(c - 1)*(c + 1)
Let u(o) be the second derivative of 0 + 1/36*o**4 + 1/60*o**5 - 1/6*o**2 + 9*o - 1/18*o**3. Factor u(f).
(f - 1)*(f + 1)**2/3
Determine r, given that -28 + 25*r**2 - 132 - 118*r + 30*r - 547*r - 5*r**2 = 0.
-1/4, 32
Let w(z) be the third derivative of 0*z**3 + 2/35*z**7 - 4/15*z**5 + 0 + 0*z + 2/15*z**6 - 8*z**2 + 0*z**4. Solve w(q) = 0.
-2, 0, 2/3
Let s(t) be the third derivative of -t**5/160 + 5*t**4/64 + 9*t**3/4 + 98*t**2 + 2*t. Factor s(m).
-3*(m - 9)*(m + 4)/8
Let v(o) be the second derivative of 11*o**4/84 + 13*o**3/42 + o**2/7 - 473*o. Factor v(p).
(p + 1)*(11*p + 2)/7
Let l(s) = -s**2 - 19*s + 24. Let u(t) = 3*t**2 + 78*t - 96. Let i(p) = 15*l(p) + 4*u(p). Suppose i(o) = 0. What is o?
1, 8
Let m(j) = 19*j**2 - 16*j**2 + j**3 + j + 0*j + 2 - j**4. Let g(q) = -2*q**4 + 3*q**2 + q + 3. Let o(b) = -2*g(b) + 3*m(b). Find h such that o(h) = 0.
-1, 0
Let c = 45748/183 + -250. Let p = 541/732 - c. Factor 0 + 0*l - 3/2*l**3 - p*l**5 + 9/4*l**4 + 0*l**2.
-3*l**3*(l - 2)*(l - 1)/4
Suppose 3*l + 13*v - 125 + 61 = 0, 4*v = 5*l - 4. Factor 0*t + 0 - 2*t**l - 2/7*t**2 - 16/7*t**3.
-2*t**2*(t + 1)*(7*t + 1)/7
Let s(l) = 3*l**4 + 32*l**3 - 151*l**2 + 206*l - 86. Let d(u) = 3*u**4 + 33*u**3 - 150*u**2 + 207*u - 87. Let m(q) = -2*d(q) + 3*s(q). Factor m(c).
3*(c - 2)*(c - 1)**2*(c + 14)
Suppose 0 = 5*w - r - 22, 0 = 4*w - 2*r + 3*r - 14. Solve 0 - 1/9*s**w + 1/9*s**2 + 0*s + 0*s**3 = 0 for s.
-1, 0, 1
Let y be (-6)/(-22) + 60/(-220). Suppose -3*x - 2 = -14. Factor 3/5*m**x + y*m**3 + 0 - 3/5*m**2 + 0*m.
3*m**2*(m - 1)*(m + 1)/5
Let o(z) = 25*z - 50. Let i be o(2). Let v be i/2 - 0/(9 + -2). Factor -567/4*h**5 + v - 96*h**2 - 270*h**3 - 324*h**4 - 12*h.
-3*h*(3*h + 2)**3*(7*h + 2)/4
Let z be ((-18 + 15)/3)/(1/(-10)). Let h(d) be the first derivative of -6*d - d**3 + z - 9/2*d**2. Factor h(m).
-3*(m + 1)*(m + 2)
Let u(j) = -j**2 - 15*j + 43. Let x(k) = 16*k - 44. Suppose 0 = 2*o - 8. Let l(f) = o*u(f) + 3*x(f). Factor l(r).
-4*(r - 2)*(r + 5)
Solve 5*n + 4 + 4*n + 11*n + 7*n**3 - 19*n**2 - 12*n = 0.
-2/7, 1, 2
Let m(g) be the third derivative of -g**7/1155 - 3*g**6/220 - 4*g**5/165 - 243*g**2. Factor m(n).
-2*n**2*(n + 1)*(n + 8)/11
Let g(j) = 2*j**4 + 32*j**3 + 98*j**2 - 300*j + 162. Let w(x) = -x**2 + 2*x. Let q(i) = -g(i) - 6*w(i). Let q(z) = 0. Calculate z.
-9, 1
Suppose -16 = -2*d - 6. Suppose m - 7 + d = 0. Factor -6*q**m + 3*q**2 - 3*q**2 + 2*q**2.
-4*q**2
Let l(j) = 13*j**3 + 13*j**2 - 6*j. Let d(r) = 35*r**3 + 38*r**2 - 16*r. Let s(o) = -3*d(o) + 8*l(o). Solve s(c) = 0.
-10, 0
Let o(r) be the first derivative of -r**7/560 + r**6/48 - 7*r**5/80 + 3*r**4/16 + 3*r**3 + 17. Let g(a) be the third derivative of o(a). Factor g(l).
-3*(l - 3)*(l - 1)**2/2
Let d be 40/12 + 0 - 2/6. Suppose 7*k - 3*w = 3*k - d, -3*k - 4*w + 29 = 0. Determine l, given that 4/9*l**4 - 2/3*l**2 + 2/9*l**k - 2/9*l + 2/9 = 0.
-1, 1/2, 1
Let a be (-32)/160 - 157/(-15). Let j(u) be the first derivative of 0*u**2 - 16/3*u**4 - 49/9*u**6 + 0*u - 8/9*u**3 - 2 - a*u**5. Let j(h) = 0. Calculate h.
-1, -2/7, 0
Let z(x) be the third derivative of -x**6/60 - 61*x**5/30 - 899*x**4/12 + 961*x**3/3 + 140*x**2. Factor z(m).
-2*(m - 1)*(m + 31)**2
Let n(c) be the third derivative of c**8/630 - 3*c**7/175 + 61*c**6/900 - 17*c**5/150 + 7*c**4/180 + 2*c**3/15 - 2*c**2 + 1. Suppose n(q) = 0. What is q?
-1/4, 1, 2, 3
Let q = -168 - -170. Let c(d) be the third derivative of 0 - 1/6*d**4 + 0*d - 1/3*d**3 - 1/30*d**5 + 10*d**q. Suppose c(v) = 0. What is v?
-1
Suppose -3*p + 6*p + 4*u + 4 = 0, u = -4. Let d be (p/10)/((-3)/(-15)). Factor -q**2 + 21*q**3 + 4*q**d + 0*q**2 - 2*q + 25*q**4 + 0*q**2 + 9*q**5.
q*(q + 1)**3*(9*q - 2)
Suppose 7/6*b - 2 - 1/6*b**2 = 0. What is b?
3, 4
Let o(j) = 4*j - 23. Let m be o(7). Factor 971 + 15*q**2 + m*q**3 - 971.
5*q**2*(q + 3)
Suppose -3*u = c - 56, c = -u - 4*c. Find l, given that -18*l**2 + u*l - 8 - 178*l**3 + 2*l**4 - 3*l**4 + 185*l**3 = 0.
1, 2
Let x(n) be the first derivative of 2*n**3/51 - 52*n**2/17 + 1352*n/17 + 23. Factor x(j).
2*(j - 26)**2/17
Suppose 3*g + 7 - 16 = 0. Suppose -4*r + 13 = -i, 9 = g*r - i - 1. Solve -10 + 108*f - r + 2 - 243*f**2 - 1 = 0.
2/9
Solve 14/5*o**4 + 144/5*o**3 + 0 + 36/5*o + 166/5*o**2 = 0.
-9, -1, -2/7, 0
Let a = -358 - -5729/16. Let i(j) be the third derivative of 1/20*j**5 + a*j**4 - 1/2*j**3 + 0*j - 1/80*j**6 - j**2 + 0. Solve i(r) = 0.
-1, 1, 2
Let m(h) = -15*h**4 - 6*h**3 + 18*h**2 - 18. Let r(y) be the first derivative of -y**5/5 + y**3/3 - y + 14. Let f(k) = -m(k) + 18*r(k). Factor f(x).
-3*x**3*(x - 2)
Let p(y) be the third derivative of -y**8/504 + y**7/105 + y**6/30 - 14*y**5/45 + 2*y**4/3 - y**2 + 29*y. Factor p(u).
-2*u*(u - 2)**3*(u + 3)/3
Let -10*f + 1109*f**2 - 2226*f**2 - 5*f**4 + 1132*f**2 = 0. Calculate f.
-2, 0, 1
Let w(h) be the second derivative of -h**7/18900 + h**6/5400 + h**5/450 + h**4/3 + 9*h. Let k(d) be the third derivative of w(d). Solve k(c) = 0.
-1, 2
Let o be 6*7/210 - 4/(-80). Let b(l) be the first derivative of 1/4*l**3 + 0*l + 7 - 1/8*l**2 + o*l**4. Factor b(z).
z*(z + 1)*(4*z - 1)/4
Factor 2*j**4 + 32/7*j + 16/7*j**2 - 32/7*j**3 - 2/7*j**5 - 32/7.
-2*(j - 2)**4*(j + 1)/7
Let r(p) = -7*p**3 + 3*p**2 - 9*p - 5. Let x be 18*(-2)/9*-3. Let s(k) = 3*k**2 + 0 + 2*k - x*k - 8*k**3 - 6. Let n(b) = 7*r(b) - 6*s(b). Factor n(c).
-(c - 1)**3
Let p = -4/491 + -1888/9329. Let k = 74/171 + p. Determine i so that -k*i**2 - 2/9*i + 0 = 0.
-1, 0
Let c be 3/4*(4 + 0)*1. Let f(o) be the second derivative of -1/9*o**c - 1/60*o**5 - 1/12*o**4 - 4*o + 0 + 0*o**2. Solve f(a) = 0 for a.
-2, -1, 0
Let u(k) be the first derivative of k**6/40 - 3*k**4/8 + k**3 - 9*k**2/2 - 16. Let h(y) be the second derivative of u(y). What is c in h(c) = 0?
-2, 1
Let p(u) be the first derivative of 7*u**5/150 + u**4/10 - 4*u**3/15 - 4*u**2/15 + u + 8. Let f(v) be the first derivative of p(v). What is y in f(y) = 0?
-2, -2/7, 1
Solve 9*k**2 - 22*k**3 + 13*k**3 + 3*k + 3*k**4 - 6*k = 0.
0, 1
Let y(q) be the third derivative of -q**8/336 + q**7/30 - 11*q**6/120 + q**5/12 - 70*q**2. Factor y(a).
-a**2*(a - 5)*(a - 1)**2
Let z = -1442 + 1444. Factor 2/5*p**z - 2*p + 2/5*p**3 + 6/5.
2*(p - 1)**2*(p + 3)/5
Let k be 8 - ((-512)/(-8))/8. Factor 1/6*r**4 + 0*r - 1/6*r**2 + k*r**3 + 0.
r**2*(r - 1)*(r + 1)/6