r -161*t**2 + 783*t**2 + 1074*t**4 + 5184 + 1266*t**2 + 160*t**3 - 1070*t**4 + 5760*t.
4*(t + 2)**2*(t + 18)**2
Suppose -7*u + 6*u + 2 = -1. Factor 0*s - s**u + 0 + 1/2*s**2 + 1/2*s**4.
s**2*(s - 1)**2/2
Let l(a) = -5*a - 13. Let r be l(-3). Suppose -r = -z - 0*z. Suppose 2*p + 4/7*p**2 - 4/7 - z*p**3 = 0. What is p?
-1, 2/7, 1
Suppose 0*d = -d + 4*c + 9, 2*d = -4*c - 6. Factor 7 + 742*o**3 - 802*o**3 + 60*o - 8*o**2 + d.
-4*(o - 1)*(o + 1)*(15*o + 2)
Let r = 4906 - 4906. Determine i so that -1/8*i**2 + r + 0*i = 0.
0
Let y(v) be the third derivative of -v**8/1344 - v**7/504 + v**4/3 + 7*v**2. Let s(c) be the second derivative of y(c). Factor s(b).
-5*b**2*(b + 1)
Let v(a) = a**2 - 85*a + 168. Let i be v(2). Find r, given that 0*r**3 + 16/3*r + 2/3*r**4 - i - 4*r**2 = 0.
-3, 1
Suppose -28 = -1657*h + 1650*h. Suppose 6*b = 2*b. Find u, given that 0*u**3 + 2/7*u**h - 4/7*u - 6/7*u**2 + b = 0.
-1, 0, 2
Solve -1/3*f**5 + 4/3*f**4 + 0*f + 0*f**2 + 0 - f**3 = 0.
0, 1, 3
Let h(i) = 9*i**4 + 72*i**3 + 106*i**2 + 50*i + 13. Let d(f) = f**3 + f**2 - 1. Let v(w) = -30*d(w) - 5*h(w). Find s such that v(s) = 0.
-7, -1, -1/3
Let a = 1596/53 - 20536/689. Factor -18/13*m**2 - a*m + 0.
-2*m*(9*m + 2)/13
Let b(l) = 4*l**2 - 20*l - 29. Let a(r) = 1 - 3 - 3 + 4. Let u(p) = 5*a(p) - b(p). Factor u(m).
-4*(m - 6)*(m + 1)
Let f = 1448 + -20225/14. Let h = -20/7 + f. Suppose n + h*n**2 + 0 = 0. What is n?
-2, 0
Let s(n) be the first derivative of 0*n**2 + 5 - 1/40*n**5 - 1/120*n**6 - 1/48*n**4 + n + 0*n**3. Let g(t) be the first derivative of s(t). Factor g(c).
-c**2*(c + 1)**2/4
Let w(u) = -2*u**5 - u**3 + u**2 + u + 1. Let l(o) = -12*o**5 - 44*o**4 + 82*o**3 - 82*o**2 + 54*o + 2. Let h(z) = -l(z) + 10*w(z). Solve h(g) = 0.
1/2, 1, 2
Let r(p) be the third derivative of -p**8/2184 - 8*p**7/1365 - 7*p**6/260 - 7*p**5/195 + 5*p**4/39 + 8*p**3/13 + 51*p**2. Solve r(u) = 0 for u.
-3, -2, 1
Let g(o) be the third derivative of o**7/175 + 7*o**6/300 - 37*o**5/150 + 17*o**4/60 + 2*o**3/3 + 6*o**2 + 45*o. Solve g(v) = 0 for v.
-5, -1/3, 1, 2
Let a = -32 + 123. Let v = a - 86. Let 0 - 1/3*s**v + 8/3*s - 2*s**3 - 5/3*s**4 + 4/3*s**2 = 0. What is s?
-2, 0, 1
Let h(d) be the first derivative of d**6/540 + d**5/90 + 25*d**3/3 + 13. Let w(j) be the third derivative of h(j). Let w(x) = 0. Calculate x.
-2, 0
Let a(s) be the third derivative of s**9/60480 - s**7/1680 - s**6/360 - 13*s**5/60 - 8*s**2. Let u(v) be the third derivative of a(v). Factor u(k).
(k - 2)*(k + 1)**2
Suppose 6*g - 38 = 4*g. Let o = g - 12. Let 2*k**2 - o*k**4 + 3*k**4 - 2*k**5 + 2*k**3 + 2*k**2 + 0*k**4 = 0. What is k?
-2, -1, 0, 1
Suppose 5*k = 2*k. Suppose 13*i - 3 - 36 = k. Suppose 6/5*z**i + 0 + 4/5*z**4 + 0*z**2 - 2/5*z = 0. Calculate z.
-1, 0, 1/2
Let m = 3746/5 - 749. Factor -1/5*n**3 + m*n + 0 + 0*n**2.
-n*(n - 1)*(n + 1)/5
Let d be -3 - -7 - (-118)/(-177). Let d*n**2 + 2*n - 6 + 2/3*n**3 = 0. Calculate n.
-3, 1
Let s be (-6331)/(-39585) - (-2)/5. Let c = s + 1/87. Determine r so that -2/7*r**2 + 0 + c*r = 0.
0, 2
Suppose -3*h - 4 = -13. Factor 18 - 10*u**h + 8*u**3 - 24*u**2 - 7*u**3 + 9*u + 6*u.
-3*(u - 1)*(u + 3)*(3*u + 2)
Let z(p) be the second derivative of 5*p**4/12 + p**3/2 + 2*p**2 - 6*p. Let f(l) = l**2 + 1. Let k(a) = -4*f(a) + z(a). Factor k(v).
v*(v + 3)
Let f(o) be the third derivative of -1/840*o**8 + 1/50*o**6 + 0*o + 15*o**2 + 0*o**3 + 0 - 1/12*o**4 - 2/75*o**5 + 4/525*o**7. Suppose f(s) = 0. What is s?
-1, 0, 1, 5
Let a(j) be the third derivative of -1/100*j**5 - 1/200*j**6 + 33*j**2 + 1/350*j**7 + 0*j**3 + 0*j + 1/40*j**4 + 0. Factor a(z).
3*z*(z - 1)**2*(z + 1)/5
Let v(b) be the third derivative of -b**5/20 + b**4/8 + 3*b**3 + 34*b**2 + 3*b. Factor v(g).
-3*(g - 3)*(g + 2)
Let s be ((34 + -4)/10)/(0 + 5). Let g(c) be the first derivative of -3/4*c**4 - s*c**5 + 3/2*c**2 + c**3 - 2 + 0*c. Factor g(p).
-3*p*(p - 1)*(p + 1)**2
Find y, given that 64/7*y - 10/7*y**4 + 0 - 48/7*y**3 + 2/7*y**5 - 8/7*y**2 = 0.
-2, 0, 1, 8
Let k(t) = -9*t - 3. Let m be k(-3). Let a be (-22)/(-77) + m/14. Solve -o**3 - 8 + 8*o - 14*o**5 + 46*o**a + 8*o + o**3 - 38*o**4 - 2*o**3 = 0.
-2, -1, 2/7, 1
Let o = -26 - -24. Let i(j) = 2*j**4 + 2*j**3 + 5. Let u(b) = -b**4 - b**3 - 2. Let v(k) = o*i(k) - 5*u(k). What is w in v(w) = 0?
-1, 0
Let u be 9 + -22 + 8 - (186/(-26) - -2). Factor 0 - u*h**3 + 4/13*h - 2/13*h**2.
-2*h*(h - 1)*(h + 2)/13
Let u(x) be the first derivative of x**7/280 - x**6/40 + 19*x**3/3 - 35. Let w(g) be the third derivative of u(g). What is d in w(d) = 0?
0, 3
Let z(b) be the first derivative of -b**7/105 + 11*b**6/180 - b**5/15 + 23*b**2/2 - 25. Let m(y) be the second derivative of z(y). Factor m(a).
-2*a**2*(a - 3)*(3*a - 2)/3
Suppose 2*k - 6 = -2*z, -5*z + 5*k = 6*k - 11. Let t be (-77)/(-35) + (-4)/(-5). Suppose 0*w**z + 9/4*w**t + 3/4*w**4 - 3*w + 0 = 0. What is w?
-2, 0, 1
Let d(m) = 2*m - 2. Let p(f) = 5*f**2 - 66*f + 61. Let l(h) = -3*d(h) - p(h). Suppose l(u) = 0. Calculate u.
1, 11
Factor -6/5*c**3 + 2/5*c**4 - 2/5*c**2 + 0 + 6/5*c.
2*c*(c - 3)*(c - 1)*(c + 1)/5
Let t(w) be the first derivative of 1/72*w**4 + 1/180*w**5 + 0*w + 1/1080*w**6 + 0*w**2 + 2 - 1/3*w**3. Let v(z) be the third derivative of t(z). Factor v(p).
(p + 1)**2/3
Let k(v) = -14*v**2 + 46*v - 8. Let l(g) = -g**2 + 3. Let z(f) = k(f) - 12*l(f). Solve z(a) = 0 for a.
1, 22
Let c(s) be the third derivative of s**5/30 + 5*s**4/6 - 8*s**3 - 9*s**2. Solve c(i) = 0 for i.
-12, 2
Solve 194/3*s - 14/3*s**3 - 44/3 - 136/3*s**2 = 0 for s.
-11, 2/7, 1
Let z(w) be the second derivative of w**5/100 - w**4/20 + 2*w**2/5 + 719*w. Factor z(g).
(g - 2)**2*(g + 1)/5
Let l(w) = -w - 1. Let z(n) = -4*n**2 + 12*n - 8. Let y(x) = 8*l(x) - z(x). Factor y(k).
4*k*(k - 5)
Determine p, given that -4/7*p**2 - 14884/7 - 488/7*p = 0.
-61
Let a(j) be the first derivative of 5*j**3/4 - 35*j**2/4 - 25*j/4 + 166. Let a(d) = 0. Calculate d.
-1/3, 5
Let c(v) = -v**3 - 2*v**2 - 3*v. Let b be c(-2). Let z = 10 - b. Suppose 5*o - 4*o - z*o + 3*o**3 = 0. Calculate o.
-1, 0, 1
Let t(y) be the first derivative of -y**3/15 + 6*y**2/5 - 11*y/5 + 518. Factor t(o).
-(o - 11)*(o - 1)/5
Solve -9/2*m + 0 + 3/4*m**2 = 0 for m.
0, 6
Let i(v) = 49*v**2 - v - 1. Let a be i(1). Factor -2 + 2 - a*y**2 + 46*y**2.
-y**2
Factor 36/7*u**2 - 4/7*u + 0.
4*u*(9*u - 1)/7
Suppose 3*p - 31 = -5*i, 10 = 5*i - 15. What is j in -2*j**3 - p*j**4 - 8*j**3 + 2*j**5 + 16*j - 3*j**2 + 8 + j**2 + 4*j**2 = 0?
-1, 2
Let q(b) be the first derivative of -b**6/80 + 3*b**4/32 - b**3/8 + 8*b + 22. Let u(l) be the first derivative of q(l). Factor u(r).
-3*r*(r - 1)**2*(r + 2)/8
Factor -2/7*b**3 - 286/7*b + 242/7 + 46/7*b**2.
-2*(b - 11)**2*(b - 1)/7
Let g = 8538 + -8534. Factor 0*d**3 + 3/4*d**5 - 3/4*d + 0 - 3/2*d**2 + 3/2*d**g.
3*d*(d - 1)*(d + 1)**3/4
Let t(g) be the third derivative of g**7/1260 + g**6/48 + g**5/5 + 3*g**4/4 + 510*g**2. Find w such that t(w) = 0.
-6, -3, 0
Let y(s) be the second derivative of -2*s**4/9 - 29*s**3/9 - 7*s**2/3 - 492*s. Factor y(o).
-2*(o + 7)*(4*o + 1)/3
Suppose -5*l = 4*f + 12, -l = 2*f + 2*l + 8. Let v(x) be the second derivative of 5/12*x**4 - 15/2*x**f + 5/3*x**3 + 0 - 3*x. Find b, given that v(b) = 0.
-3, 1
Let y(q) be the second derivative of 0 + 7/90*q**5 + 0*q**2 + 1/27*q**4 + 0*q**3 - 3*q + 8/135*q**6 + 1/63*q**7. Let y(z) = 0. Calculate z.
-1, -2/3, 0
Let o(d) be the first derivative of -4*d**5/15 + 5*d**4/3 + 4*d**3/9 - 10*d**2/3 + 52. Find g, given that o(g) = 0.
-1, 0, 1, 5
Let w(c) be the second derivative of -1/15*c**6 - 1/10*c**5 + 0*c**4 + 0*c**3 + 0*c**2 - 3*c + 0. Solve w(k) = 0.
-1, 0
Let m(x) = x**2 + 67*x + 368. Let v be m(-6). What is b in 2/3*b**4 - 2/3*b**3 + 2/3*b**5 + 0*b + 0 - 2/3*b**v = 0?
-1, 0, 1
Let f = 515 + -12359/24. Let a(w) be the second derivative of 0 + f*w**4 + 3/4*w**2 - 1/3*w**3 - 9*w. Suppose a(y) = 0. Calculate y.
1, 3
Let p(h) = -6*h**3 - 131*h**2 + 1156*h + 5. Let s(o) = 20*o**3 + 392*o**2 - 3468*o - 16. Let n(k) = -16*p(k) - 5*s(k). Suppose n(b) = 0. What is b?
0, 17
Let b(m) = -34*m - 677. Let z be b(-20). Solve 2/15*q**z - 4/15 + 0*q**2 - 2/5*q = 0.
-1, 2
Suppose 2*x + 2*j = -8, 4*x - 8 = j + j. Suppose 7*y - 16 - 5 = x. Determine v, given that 1/4*v - 3/4*v**y - v**4 + 1/2*v**2 + 0 + v**5 = 0.
-1/2, 0, 1
Let b 