j**3 - s - 231/2*j**2.
3*(j - 1)*(11*j + 2)**2/2
Let i(q) be the first derivative of -2*q**3/7 - 54*q**2/7 + 114*q/7 + 273. Determine u, given that i(u) = 0.
-19, 1
Let t(o) = -3*o**2 - 7. Let f(x) = x**2 + 2. Let z be (-699)/33 - 6/(-33). Let m(d) = z*f(d) - 6*t(d). Factor m(i).
-3*i**2
Let c be (1 - 1)/(-2*7/(-7)). Let a be (-3 + 3)/5 + c. Factor 0*w**2 + 0*w + 4/5*w**3 + a + 4/5*w**4.
4*w**3*(w + 1)/5
Let m be (-2)/((128/8)/(-2)). Suppose 0 = -5*f - 4*s + 7*s + 7, -s + 5 = 2*f. Factor m*p + 1/4*p**f + 0.
p*(p + 1)/4
Suppose p + 49*a = 53*a + 16, 5*a = 3*p - 27. Let j(x) be the first derivative of -3*x**3 - 12*x - 11 + 9*x**2 + 3/8*x**p. Find f such that j(f) = 0.
2
Let z be 3*(-12)/8*10/(-9). Let l(u) be the second derivative of -5*u + 0 + 25/6*u**z + 15*u**3 + 25/2*u**4 + 9*u**2. Determine k so that l(k) = 0.
-3/5
Suppose 16*h - 144 = 22*h. Let t = -22 - h. Factor 1 - 1/3*u**t + 2/3*u.
-(u - 3)*(u + 1)/3
Let a(b) = 2*b**3 + b**2 - b. Let p(m) = 11*m**3 - 60*m**2 - 1095*m. Let y(q) = 6*a(q) - p(q). Factor y(v).
v*(v + 33)**2
Let m(f) be the second derivative of -f**7/28 - 3*f**6/20 + 9*f**5/20 + 5*f**4/4 - 21*f**3/4 + 27*f**2/4 + 2*f + 122. Factor m(w).
-3*(w - 1)**3*(w + 3)**2/2
Suppose 0 = -7*n + 12 - 5. Factor -3 - 13*y**2 - n - 6*y**3 - 12*y + 0 - y**4.
-(y + 1)**2*(y + 2)**2
Suppose -3*n + 33 = -0*n. Let z(b) = -b**2 + 10*b + 13. Let r be z(n). Factor -2*m + r*m**3 + 0*m**3 - 2*m**2 + 0*m + 0*m**4 + 2*m**4.
2*m*(m - 1)*(m + 1)**2
Let z = 1697 + -13561/8. Find l such that -z*l**4 + 3/4*l - 27/8*l**2 + 9/2*l**3 + 0 = 0.
0, 2/5, 1
Suppose 8*l + l = -0*l. Suppose -2*p + l*p = 2*p. Solve p*u + 2/5 - 2/5*u**2 = 0 for u.
-1, 1
Let o = 12 + -9. Let -5*x**4 + 13*x**3 - 2*x**4 - 5*x**o + 3*x**4 = 0. What is x?
0, 2
Let z(s) = 3*s**3 - s**2 - 10*s + 2. Let m(t) = 13*t**3 - 5*t**2 - 42*t + 9. Let x(b) = -2*m(b) + 9*z(b). Solve x(r) = 0 for r.
-3, 0, 2
Let r(d) = 7*d**4 - 12*d**3 - 11*d**2 + 16*d. Let l(h) = 7*h**4 - 12*h**3 - 11*h**2 + 17*h - 1. Let w(v) = -4*l(v) + 5*r(v). Determine u, given that w(u) = 0.
-1, -2/7, 1, 2
Let f(z) be the third derivative of z**5/20 + 11*z**4/8 + 14*z**3 + 48*z**2. Factor f(x).
3*(x + 4)*(x + 7)
Let f(a) be the second derivative of -a**6/255 + 7*a**5/170 - 5*a**4/34 + 13*a**3/51 - 4*a**2/17 + 2*a + 13. Suppose f(t) = 0. What is t?
1, 4
Let y = 2510 - 30119/12. Factor 0*v**2 + 0 + 1/6*v**3 - y*v**4 + 0*v.
-v**3*(v - 2)/12
Let y(o) = -17*o**2 - 60*o + 3. Let w be y(-3). Let i(f) be the first derivative of 11 + w*f**2 - 10*f**3 - 40*f + 5/4*f**4. Factor i(n).
5*(n - 2)**3
Let k be ((-8)/16)/(2/(-156)). Suppose k - 39 = 3*m. Solve -16/3*s**3 + m - 4*s**4 + 8/3*s + 4/3*s**2 = 0.
-1, 0, 2/3
Let i(k) = -3*k**2 - 3*k - 4. Let h(q) = -16*q**2 - 15*q - 21. Let m(j) = 2*h(j) - 11*i(j). Factor m(g).
(g + 1)*(g + 2)
Let d be (-3)/(12/8 + 0). Let u be (-9)/d - (-18)/(-12). Let -3/5*m**5 + 6/5*m**u + 0*m**2 - 3/5*m + 0*m**4 + 0 = 0. What is m?
-1, 0, 1
Let b be (2/5)/((-2)/(-4820)). Suppose 4*y - b = 3*a - 58, -3*y + 5*a = -685. Factor -108*u + 10*u**2 - y*u**2 - 28*u**2 - 12.
-3*(9*u + 2)**2
Let m(l) be the third derivative of -l**8/84 + 4*l**7/15 - 2*l**6 + 24*l**5/5 + 11*l**2 - 29. Solve m(k) = 0 for k.
0, 2, 6
Let o = 3952 + -3949. What is c in -25/6*c**2 - 5/3*c - 5/3*c**o + 0 = 0?
-2, -1/2, 0
Factor -66/5*t**3 + 2/5*t**5 + 14*t**2 + 0 - 24/5*t + 18/5*t**4.
2*t*(t - 1)**3*(t + 12)/5
Let f be 6/(-21) - (-1)/(420/(-1119)). Let v = f + 16/5. Let 1/4*y - v*y**2 + 0 = 0. Calculate y.
0, 1
Let a(f) be the second derivative of f**5/20 + f**4/3 - 5*f**3/6 - 31*f - 2. What is x in a(x) = 0?
-5, 0, 1
Let u = -35663/6 - -5944. Find f such that -1/6*f**4 + 0*f**2 + 0*f + 0*f**3 + u*f**5 + 0 = 0.
0, 1
Suppose -91*s = -647 + 192. Factor -15/4*i**2 + 0 + 0*i - s*i**3 - 5/4*i**4.
-5*i**2*(i + 1)*(i + 3)/4
Let l = -91 + 76. Let f(g) = 3*g**2 - 9 - 12 - 15*g**2 - 18*g. Let a(v) = v**2 + v + 1. Let o(n) = l*a(n) - f(n). Suppose o(t) = 0. Calculate t.
-1, 2
Factor 1/3*h**3 - 61/3*h + 6*h**2 + 14.
(h - 2)*(h - 1)*(h + 21)/3
Let t(m) = 427*m - 5978. Let s be t(14). Factor -2/13*u**5 + 0*u - 10/13*u**3 + s + 4/13*u**2 + 8/13*u**4.
-2*u**2*(u - 2)*(u - 1)**2/13
Let k(h) = -h**3 - 19*h**2 + 7*h + 452. Let n be k(-18). Factor 1/4*v + 0 + 1/4*v**n.
v*(v + 1)/4
Let a be (-6 - 0)/24 + 18/8. Solve 1/2*z**3 - 1/6*z**4 - 1/3*z**a + 0*z + 0 = 0 for z.
0, 1, 2
Let i(n) = -n**2 - 18*n + 4. Let k be i(-18). Let o be (-301)/70 - -4 - k/(-5). What is r in -1/4*r + 1/4*r**3 + o - 1/2*r**2 = 0?
-1, 1, 2
Factor -5*o**3 + 0*o**2 + 3*o**3 + 3*o**2 - o**2.
-2*o**2*(o - 1)
Determine g so that -76/9*g + 2*g**2 + 16/9 = 0.
2/9, 4
Factor -3*u**4 - 3*u**4 + 2*u**3 + 4*u**3 + 9*u**3 + u**4.
-5*u**3*(u - 3)
Let l(h) be the first derivative of h**3 - 27*h - 33. Let l(j) = 0. Calculate j.
-3, 3
Let g(m) be the third derivative of -m**5/540 + 29*m**4/108 - 841*m**3/54 + 88*m**2 - 2*m. Factor g(a).
-(a - 29)**2/9
Suppose i + 4*p + 4 = -19, 34 = -2*i - 5*p. Let q be 4/i + 50/14 + -3. Suppose 22/5*s**3 + 8/5*s - 24/5*s**2 - 6/5*s**4 + q = 0. Calculate s.
0, 2/3, 1, 2
Factor -1/5*b - 7/5*b**2 + 0.
-b*(7*b + 1)/5
Let l(j) be the second derivative of j**5/5 + 8*j**4/3 + 14*j**3/3 - 2*j. Solve l(u) = 0.
-7, -1, 0
Let h(a) be the first derivative of 1/33*a**6 - 6/55*a**5 + 3/22*a**4 - 2/33*a**3 + 0*a**2 - 5 + 0*a. Let h(g) = 0. What is g?
0, 1
Let q(g) be the first derivative of 1/3*g**3 - 1/12*g**4 + 9*g - 9 + 0*g**2. Let u(f) be the first derivative of q(f). Factor u(l).
-l*(l - 2)
Let u(l) = -6 - 74*l**2 - 4*l**4 + 37*l**3 + 32*l - 2*l + 2*l + 3*l**3. Let z(d) = -d**3 - d**2 + 1. Let w(m) = u(m) + 6*z(m). Factor w(f).
-2*f*(f - 4)**2*(2*f - 1)
Let t(p) = -p**2 - 9*p + 14. Let w be t(-10). Factor 0*u + u - w*u**3 + u**5 + 2*u**3.
u*(u - 1)**2*(u + 1)**2
Let d(k) be the second derivative of k**5/80 - k**4/2 + 8*k**3 - 17*k**2/2 - 6*k. Let w(a) be the first derivative of d(a). Let w(z) = 0. Calculate z.
8
Let m = 23 + -21. Let k be ((-3)/27)/((-1)/6). Factor 2/3 + 0*b + 0*b**3 - 4/3*b**m + k*b**4.
2*(b - 1)**2*(b + 1)**2/3
Let y(u) be the third derivative of u**7/840 + u**6/120 - u**5/30 - u**3/3 - 16*u**2. Let o(d) be the first derivative of y(d). Factor o(v).
v*(v - 1)*(v + 4)
Factor 6*f**4 + 7 + 11*f**3 + 4*f**4 - 7*f - 4*f**3 - 9*f**4 - 9*f**2 + 1.
(f - 1)**2*(f + 1)*(f + 8)
Let c = 67 + -68. Let p be (3/(-15))/(c/8). Factor 2*y**4 + 0*y + p*y**2 + 16/5*y**3 + 0 + 2/5*y**5.
2*y**2*(y + 1)*(y + 2)**2/5
Determine c so that -52*c - 225*c + 115*c**2 - 80 - 845*c**4 + 1170*c**3 - 83*c = 0.
-4/13, 1
Let l = 2525 - 2523. Find s such that -3/5 + 6/5*s**3 + 6/5*s**l - 3/5*s - 3/5*s**5 - 3/5*s**4 = 0.
-1, 1
Find v such that -140*v - 9/4*v**3 - 143/4*v**2 + 16 = 0.
-8, 1/9
Let a(o) be the third derivative of -o**5/480 + 43*o**4/192 - 6*o**2 + 32. Suppose a(t) = 0. Calculate t.
0, 43
Find r such that 0*r - 1/5*r**5 + 0 + r**4 - r**2 + 1/5*r**3 = 0.
-1, 0, 1, 5
Let s(b) be the first derivative of 3*b**4/28 - 369*b**3/7 + 136161*b**2/14 - 5582601*b/7 + 551. Determine t so that s(t) = 0.
123
Solve -2*v**4 - 53*v**2 + 145*v**2 - 48*v**2 + 72*v - 52*v**2 - 18*v**3 + 64 = 0 for v.
-8, -2, -1, 2
Suppose 3*z + 4*s + s = 0, z = 2*s. Let n(c) be the second derivative of -2*c + 0 + 1/4*c**4 + z*c**2 - 3/2*c**3. Factor n(y).
3*y*(y - 3)
Suppose 23/7*i**3 - 6/7 - 94/7*i**2 + 11*i = 0. What is i?
2/23, 1, 3
Let k be (0/9)/((-9)/(-81)*9). Factor 2/5*u + k + 2/5*u**2.
2*u*(u + 1)/5
Determine g, given that 10/3*g + 2/3*g**2 + 4 = 0.
-3, -2
Let -539/4*u**3 + 3*u + 105/2*u**2 - 2 = 0. Calculate u.
-2/11, 2/7
Factor -7744/7 + 176/7*l - 1/7*l**2.
-(l - 88)**2/7
Let d(m) be the second derivative of -m**3/6 - 3*m**2 + 5*m. Let t be d(-8). Factor 0*q**3 + 5*q**2 - q**3 - 4*q**t - q**4 + 0*q**2 + q**5.
q**2*(q - 1)**2*(q + 1)
Let v(w) = -w**2 + 7*w - 7. Let k be v(5). Factor 8 + 36*o**k - 11*o**3 - 4*o**2 - 13*o**3 - 4*o**4 - 12*o + 0*o**4.
-4*(o - 2)*(o - 1)**2*(o + 1)
Suppose 1536/5 + 132/5*i**3 + 3*i**5 + 186/5*i**4 - 2856/5*i**2 + 2688/5*i = 0. Calculate i.
-8, -2/5, 2
Let o(i) be the first derivative of -i**5/510 - i**4/204 - 15*i**2/2 - 16. Let q(k) be the second derivative of o(k). Factor q(c).
-2*c*(c + 1)/17
Suppose 5*c - 4*m - m = 145, -c - 2*m + 23 = 0. Let u be (c/(-36))/(1/(-4)). Determine i, given t