, -1, 1/4, 1
Let u(b) be the second derivative of 0 - 1/33*b**4 - 2*b**2 - 2/165*b**5 - 1/660*b**6 + b + 0*b**3. Let y(s) be the first derivative of u(s). Factor y(h).
-2*h*(h + 2)**2/11
Suppose 3*r - 7*f + 6 = -4*f, 5*r - 3*f = 0. Factor -r*v**3 - 11/2*v**2 + 2*v + 2 + 9/2*v**4.
(v - 1)**2*(3*v + 2)**2/2
Determine m so that 110/9*m - 38/3*m**2 - 2/9*m**4 + 14/3*m**3 - 4 = 0.
1, 18
Solve 0*l**2 + 2*l**3 + 3*l - 6*l**2 - 5*l**3 - 6*l**2 + 12 = 0 for l.
-4, -1, 1
Let w = 14 + -11. Let f be (0 - (w - 3)) + -1. Let o(l) = 4*l**3 + 3*l**2 - l - 3. Let y(u) = -u**3 - u**2 + 1. Let g(k) = f*o(k) - 3*y(k). Factor g(i).
-i*(i - 1)*(i + 1)
Let i(x) be the third derivative of -x**6/200 + x**5/100 + x**4/40 - x**3/10 - 89*x**2 - 1. Factor i(v).
-3*(v - 1)**2*(v + 1)/5
Let o(j) be the third derivative of -j**5/60 - j**4/24 + j**3/6 - 3*j**2. Let g(h) = 8*h**2 - 4*h. Let i(n) = -g(n) - 4*o(n). Find v, given that i(v) = 0.
1
Let c(u) = -9*u**3 + 21*u**2 - 12*u + 6. Let g(a) = a + 1. Let q(s) = -c(s) + 3*g(s). What is j in q(j) = 0?
1/3, 1
Let o(s) be the first derivative of s**4/14 + 32*s**3/21 + 51*s**2/7 + 72*s/7 - 724. Factor o(k).
2*(k + 1)*(k + 3)*(k + 12)/7
Let o = 292 - 290. Find l, given that 4/7*l**o + 12/7*l + 0 = 0.
-3, 0
Determine p, given that -10/23*p**5 + 6/23*p**4 + 44/23*p**3 - 24/23*p**2 + 0 - 16/23*p = 0.
-2, -2/5, 0, 1, 2
Let r(d) be the third derivative of 1/960*d**6 + 0*d + 0 + 1/24*d**3 + 1/120*d**5 - 4*d**2 + 5/192*d**4. Factor r(a).
(a + 1)**2*(a + 2)/8
Let g(v) be the third derivative of 3*v**6/160 - 25*v**5/8 + 1281*v**4/8 + 441*v**3 + 357*v**2. Let g(m) = 0. Calculate m.
-2/3, 42
Let c(l) be the second derivative of -l**6/20 + 27*l**5/20 - 17*l**4/8 - 96*l. Find t, given that c(t) = 0.
0, 1, 17
Let j(f) be the first derivative of f**6/24 - 7*f**5/20 + f**4/16 + 9*f**3/4 + 9*f**2/4 + 493. Factor j(r).
r*(r - 6)*(r - 3)*(r + 1)**2/4
Let b be 3 + 20 - 2403/108. Find v, given that -3*v**2 + b*v**3 + 0 + 3*v = 0.
0, 2
Let y(p) = -4*p**4 - 2*p**3 + 12*p**2 + 16*p + 8. Let x(a) = 17*a**4 + 9*a**3 - 48*a**2 - 64*a - 33. Let m(t) = 4*x(t) + 18*y(t). Solve m(v) = 0 for v.
-1, 3
Let h(x) = -4*x**5 + 9*x**4 + 5*x**3 - 3*x**2 - x - 3. Let y(l) = -2*l**5 + l**4 + l**3 + l**2 + l - 1. Let s(i) = -h(i) + 3*y(i). Solve s(v) = 0 for v.
-2, -1, 0, 1
Let p be (12/50)/1*4360/1308. Factor p*v - 1/5*v**4 + 3/5 - 4/5*v**3 - 2/5*v**2.
-(v - 1)*(v + 1)**2*(v + 3)/5
Let t(v) be the first derivative of -5*v**3/3 - 45*v**2 - 325*v - 296. Factor t(c).
-5*(c + 5)*(c + 13)
Suppose -v - 4*c = 16, v + 0*c + 20 = -5*c. Let m(p) be the second derivative of -1/66*p**4 - 1/55*p**5 - p + 0 + v*p**2 + 1/33*p**3. Find z such that m(z) = 0.
-1, 0, 1/2
Let z(w) be the third derivative of w**6/480 + w**5/24 + 11*w**4/32 + 3*w**3/2 + 4*w**2 + 46*w. Suppose z(s) = 0. What is s?
-4, -3
Let m be 4/(-15) + 14/21. Let c = -4800 + 4802. Factor -16/5*f + 2/5*f**c - 24/5 + m*f**3.
2*(f - 3)*(f + 2)**2/5
Let k(x) = -x**3 + 17*x**2 + 2*x - 23. Let t be k(17). Suppose -11*a + 10*a = -t. Find r, given that 7*r - 17 - 2*r**2 - 7*r**3 + 8 + a = 0.
-1, -2/7, 1
Suppose 0 = 66*c - 256*c - 121*c + 622. Determine u so that 0 + 0*u**c - 2/15*u**3 + 2/15*u = 0.
-1, 0, 1
Let l(u) be the second derivative of u**7/28 - 17*u**6/10 + 297*u**5/10 - 847*u**4/4 + 1331*u**3/4 - 111*u. Factor l(t).
3*t*(t - 11)**3*(t - 1)/2
Determine w so that 30*w**2 + 6*w**3 - 36 - 84 + 3*w - 23*w - w**3 = 0.
-6, -2, 2
Let i(m) be the third derivative of m**6/600 + 29*m**5/300 + 11*m**4/24 + 9*m**3/10 + 12*m**2 + 2*m. Factor i(j).
(j + 1)**2*(j + 27)/5
Let u(m) = -2*m**2 - 115*m + 27. Let h(j) = j**2 + 57*j - 12. Let y(a) = -9*h(a) - 4*u(a). Factor y(q).
-q*(q + 53)
Let v(j) = 22*j**4 + 50*j**3 - 76*j**2 - 170*j + 42. Let x(l) = 45*l**4 + 101*l**3 - 152*l**2 - 339*l + 83. Let z(b) = -13*v(b) + 6*x(b). Solve z(y) = 0 for y.
-3, -2, 1/4, 2
Let c(o) be the third derivative of -o**8/30240 + o**7/3780 - o**6/1620 + 5*o**4/24 - 2*o**2. Let f(l) be the second derivative of c(l). What is p in f(p) = 0?
0, 1, 2
Find y such that -1/2*y**4 + 71*y**3 - 2592 - 4897/2*y**2 - 5112*y = 0.
-1, 72
Let q be ((-35)/(-14))/(9/(-12))*(-3)/5. Factor -2/5*r**q + 6/5*r - 4/5.
-2*(r - 2)*(r - 1)/5
Suppose t + 3*w + 6 = -w, 0 = t - 2*w - 6. Let c be -1 - -5 - (-92)/(-24). Factor 1/6 + 1/6*v**3 - 1/6*v**t - c*v.
(v - 1)**2*(v + 1)/6
Let s(h) be the third derivative of -h**5/180 + 5*h**4/6 + 61*h**3/18 - 12*h**2 - 11*h. Factor s(q).
-(q - 61)*(q + 1)/3
Let x(z) = 0 - 90 + 32 + 12*z. Let a be x(5). Solve 9*c**a + 36*c + 48 + 3/4*c**3 = 0.
-4
Suppose -2 = -z - 5*u + 4*u, 3*z + u = 6. Let r(o) be the third derivative of -1/12*o**3 + 1/32*o**4 - 4*o**z - 1/240*o**5 + 0*o + 0. Factor r(d).
-(d - 2)*(d - 1)/4
Let q be 10/15*(-24)/(-4). Factor 25*n**2 - 3*n**3 + 11*n**4 - 14*n**4 - 27*n**3 + 8*n**q.
5*n**2*(n - 5)*(n - 1)
Factor 5*x**3 - 17 - 35*x + 38 + 29 - 43*x**2 + 81*x**2 - 58*x**2.
5*(x - 5)*(x - 1)*(x + 2)
Find y, given that -372*y**2 - 6*y**4 + 17352*y + 304 - 238*y**3 - 8458*y - 8582*y = 0.
-38, -2, -2/3, 1
Let z = 47/823872 + 4/1839. Let n(r) be the third derivative of -1/168*r**7 - 1/240*r**6 - z*r**8 + 0 + 0*r**5 + 0*r + 0*r**4 + 0*r**3 - 5*r**2. Factor n(h).
-h**3*(h + 1)*(3*h + 2)/4
Let h = 91449/19 - 4813. Factor h*x**5 + 4/19*x**4 - 14/19*x - 4/19 - 16/19*x**2 - 4/19*x**3.
2*(x - 2)*(x + 1)**4/19
Let g be 24/6 + 8/(-2). Suppose g*f - 7*f + 7 = 0. Let z(m) = m - 1. Let y(i) = -4*i**2 - 8*i + 20. Let x(o) = f*y(o) + 12*z(o). What is j in x(j) = 0?
-1, 2
Let m be 26/65 + 14/(-60)*-4. Factor 0 + 4*x - m*x**2.
-4*x*(x - 3)/3
Factor t + 5/6*t**2 - 1/6*t**3 + 0.
-t*(t - 6)*(t + 1)/6
Let f(v) be the first derivative of v**7/700 - 11*v**6/900 + v**5/50 - 26*v**3/3 + 1. Let n(l) be the third derivative of f(l). Suppose n(p) = 0. What is p?
0, 2/3, 3
Let u(f) = -f**3 + 11*f**2 - 8*f + 3. Let x be u(10). Factor 4*l**3 - 4*l**2 + 0*l**3 + x*l - 31*l.
4*l*(l - 2)*(l + 1)
Let z = -43 + 107. Let f be (7/(-28))/((-10)/z). Suppose 0*b**2 + 32/5 - 32/5*b - 2/5*b**4 + f*b**3 = 0. What is b?
-2, 2
Let h = 1819 - 45473/25. Let z(c) be the first derivative of 2/5*c - 4/15*c**3 + h*c**5 + 1/5*c**6 - 3/5*c**4 + 3/5*c**2 - 9. Solve z(a) = 0 for a.
-1, -1/3, 1
Suppose -5*z - 2*z = 0. Suppose z*w + 4 = 2*w. Suppose -3*j**w - 4*j - 8*j + 1 - 4 - 9 = 0. Calculate j.
-2
Let u = -1420/9 + 158. Let w(f) be the first derivative of 2/3*f - 1/6*f**4 - u*f**3 + 1/3*f**2 - 3. Factor w(g).
-2*(g - 1)*(g + 1)**2/3
Let g(z) be the third derivative of 0*z - 5/24*z**4 + 0 + 0*z**3 - 1/24*z**6 - 12*z**2 - 1/6*z**5. Factor g(o).
-5*o*(o + 1)**2
Let x(o) be the second derivative of o**5/90 + o**4/3 - 7*o**3/3 + 2*o + 259. Factor x(g).
2*g*(g - 3)*(g + 21)/9
Let z(n) be the third derivative of n**6/30 + 16*n**5/15 + 29*n**4/6 + 28*n**3/3 - 45*n**2 - n. Factor z(q).
4*(q + 1)**2*(q + 14)
Let u(h) be the third derivative of h**9/75600 - h**8/16800 + h**7/12600 + 11*h**4/12 - 2*h**2. Let s(r) be the second derivative of u(r). Solve s(t) = 0 for t.
0, 1
Let w(t) be the second derivative of 0 - 2/9*t**3 - 1/15*t**5 + 1/135*t**6 - 42*t + 0*t**2 + 11/54*t**4. Find b, given that w(b) = 0.
0, 1, 2, 3
Let m(v) be the second derivative of -v**6/6 - 3*v**5 - 35*v**4/4 - 25*v**3/3 - 12*v + 9. Determine w, given that m(w) = 0.
-10, -1, 0
Suppose 8 = 12*f - 4. Determine n so that -5*n + 32*n**4 - 29*n**4 + 3*n**3 - 7 - 9*n**2 - 10*n + f = 0.
-1, 2
Let a = 146 + -86. Factor -10 - 25*u + 27*u**3 - a*u**3 - 20*u**2 + 28*u**3.
-5*(u + 1)**2*(u + 2)
Determine a so that -54/7*a + 20/7 + 36/7*a**2 - 12/7*a**4 + 10/7*a**3 = 0.
-2, 5/6, 1
Let d(t) be the first derivative of -t**9/6048 + t**7/560 - t**6/360 - 3*t**3 + 2. Let s(m) be the third derivative of d(m). Factor s(a).
-a**2*(a - 1)**2*(a + 2)/2
Let v(c) be the second derivative of -c**7/21 - c**6/15 + c**5/10 + c**4/6 + 8*c + 1. What is f in v(f) = 0?
-1, 0, 1
Suppose 0 = 8*r - 1 - 55. Factor -268*n**3 + 133*n**3 - 6*n + r*n**2 + 134*n**3.
-n*(n - 6)*(n - 1)
Let c(f) be the second derivative of -f**9/9072 + f**8/2520 + f**7/1890 + f**4 + 8*f. Let g(h) be the third derivative of c(h). Suppose g(x) = 0. What is x?
-2/5, 0, 2
Let v be ((-1)/((-6)/(-8)))/(144/(-324)). Let n(b) be the first derivative of 0*b + 4 + 2/21*b**v - 1/14*b**2 - 1/28*b**4. Fact