g**2 + 5/48*g**4 + 0. Factor x(c).
(c + 2)*(5*c + 1)/4
Determine w so that 46/17*w + 44/17*w**2 - 2/17*w**3 + 0 = 0.
-1, 0, 23
Let d be 135/(-924) - (-19)/(627/6). Let x(g) be the third derivative of 0 + 1/210*g**5 + 0*g + d*g**4 - g**2 + 2/21*g**3. Factor x(p).
2*(p + 1)*(p + 2)/7
Let h(s) be the third derivative of 0 + 15*s**2 + 0*s + 0*s**3 + 1/150*s**6 + 2/75*s**5 + 0*s**4. Factor h(v).
4*v**2*(v + 2)/5
Let r be 86/21 + (-30)/315. Let x(s) be the first derivative of 6 - 18/5*s**5 + 5/4*s**6 + 0*s + 0*s**2 - s**3 + 27/8*s**r. Factor x(z).
3*z**2*(z - 1)**2*(5*z - 2)/2
Solve 32/9*j**2 + 4/9*j**3 + 8 + 28/3*j = 0 for j.
-3, -2
Let v(w) be the first derivative of 5*w**6/6 - w**5 - 5*w**4/2 + 137. Let v(l) = 0. What is l?
-1, 0, 2
Let d(u) = -20*u**2 + 45*u + 5. Let q(p) = -3*p**2 + 6*p + 1. Let w(c) = 2*d(c) - 15*q(c). Factor w(y).
5*(y - 1)*(y + 1)
Let z(w) be the first derivative of 24 + 16/27*w**3 - 2/3*w - 17/18*w**2 + 7/36*w**4. Factor z(n).
(n - 1)*(n + 3)*(7*n + 2)/9
Let d(t) be the first derivative of 5*t**3/3 - 120*t**2 - 500*t - 381. Determine g so that d(g) = 0.
-2, 50
Let z(l) be the second derivative of 0*l**2 + 0 + 13/110*l**5 + 1/231*l**7 - 2/55*l**6 - 2/11*l**4 + 15*l + 4/33*l**3. Factor z(s).
2*s*(s - 2)**2*(s - 1)**2/11
What is u in -60/23*u**2 + 0 - 58/23*u - 2/23*u**3 = 0?
-29, -1, 0
Solve -2/3*z**2 + 0*z - 4/3*z**4 + 1/3*z**5 + 0 + 5/3*z**3 = 0 for z.
0, 1, 2
Suppose -38*n + 195 = 27*n. Factor -4/7*j**n - 12/7*j**2 - 4/7 - 12/7*j.
-4*(j + 1)**3/7
Let w(y) be the first derivative of 3*y**4/8 + 10*y**3 + 351*y**2/4 + 243*y - 538. Determine l so that w(l) = 0.
-9, -2
Let x be (-155)/2945 - 2/(-38). Let l(g) be the second derivative of 1/20*g**5 + x*g**2 + 1/12*g**4 + 1/18*g**3 + 0 - 10*g + 1/90*g**6. Solve l(t) = 0.
-1, 0
Let i(o) be the third derivative of o**6/120 - 4*o**5/45 - 13*o**4/72 + o**3/3 - 581*o**2. Factor i(w).
(w - 6)*(w + 1)*(3*w - 1)/3
Solve -3/2*z**4 + 48*z + 12*z**3 - 24 - 36*z**2 = 0.
2
Factor 2/5*v**3 - 2/5*v**2 + 90 - 26*v.
2*(v - 5)**2*(v + 9)/5
Suppose 0 = -2*c - 3*l + 24, -2*c + 0*c = 2*l - 24. Determine m, given that 15/2*m**3 - 3/2*m**4 - c*m**2 + 0 + 6*m = 0.
0, 1, 2
Let x = -8 - -13. Let h be (-45)/(-75) - (-12)/x. Factor 2 - 5 + 42*c**3 - h + 6*c**3 - 45*c - 72*c**2.
3*(c - 2)*(4*c + 1)**2
Let v(x) be the third derivative of -x**7/70 - 3*x**6/20 - 3*x**5/5 - 5*x**4/4 - 3*x**3/2 - 3*x**2 - 1. Suppose v(p) = 0. What is p?
-3, -1
Let l be (-186)/186 + 3/(3 + -2). Solve 2*y**l - 22/7*y - 2/7*y**3 + 10/7 = 0 for y.
1, 5
Let l be -10 + 8 + -4 + 8. Let a(m) be the third derivative of 0*m - 1/6*m**4 + l*m**2 + 0*m**3 + 0 + 1/15*m**5. Factor a(z).
4*z*(z - 1)
Suppose -47/3 - 1/6*y**2 + 49/6*y = 0. What is y?
2, 47
Determine d, given that 19/4*d - 7/4*d**3 + 7/2 - 3/4*d**2 + 1/4*d**4 = 0.
-1, 2, 7
Let n(w) be the second derivative of w**7/14 - w**6/2 - 33*w**5/5 - 16*w**4 + 16*w**3 + 120*w**2 - 260*w. Factor n(r).
3*(r - 10)*(r - 1)*(r + 2)**3
Let s(k) = 3*k + 1. Let p be s(-7). Let i = p - -29. Factor -5*f**3 + 12*f**4 + 19*f**4 - 23*f**4 - i*f**3 + 2*f + 4*f**2.
2*f*(f - 1)**2*(4*f + 1)
Let z(r) be the third derivative of -1/24*r**4 + 0 + 5*r**2 + 0*r - 1/60*r**5 + 1/6*r**3 + 1/120*r**6. Let z(g) = 0. Calculate g.
-1, 1
Let k be ((-792)/(-33))/((-39)/2*-1). Let p = k - -24/65. Determine d, given that -4/5*d**2 + 0 - p*d = 0.
-2, 0
Let a(c) be the third derivative of c**7/1400 - c**6/600 - c**5/25 + 3*c**4/10 + 35*c**3/6 - 10*c**2. Let x(q) be the first derivative of a(q). Factor x(u).
3*(u - 2)**2*(u + 3)/5
Let a be ((-2)/(-5))/((12/(-20))/(-3)). Factor 5*h**4 + 6*h**4 + 8*h**a - 7*h**4 + 8*h**3 - 4*h**2.
4*h**2*(h + 1)**2
Let i be 3 + -2 - 7*(-20)/(-140). Determine h so that 0*h + 0 - 2/7*h**3 + i*h**2 - 2/7*h**5 + 4/7*h**4 = 0.
0, 1
Suppose -38*f + 40*f = m - 4, 5*f + 10 = 5*m. Let l(u) be the third derivative of 1/12*u**4 + 0*u - 1/60*u**6 - u**2 - 1/3*u**3 + m + 1/30*u**5. Solve l(h) = 0.
-1, 1
Let d(m) be the first derivative of -4*m**5/5 - 3*m**4 + 4*m**3 + 22*m**2 + 24*m + 156. Factor d(k).
-4*(k - 2)*(k + 1)**2*(k + 3)
Let x(o) be the second derivative of -o**6/3 + o**5/4 + 25*o**4/12 + 5*o**3/3 + 30*o. Determine s so that x(s) = 0.
-1, -1/2, 0, 2
Let x(a) be the third derivative of -1/63*a**7 + 0*a + 1/168*a**8 + 0 + 0*a**5 + 27*a**2 + 0*a**3 + 1/90*a**6 + 0*a**4. Let x(f) = 0. Calculate f.
0, 2/3, 1
Let r be (2/(-30))/((-27)/324). Let 2/5*f**2 - r*f + 2/5 = 0. Calculate f.
1
Let g(p) be the first derivative of -1/4*p**2 - 1/9*p**3 + 1/10*p**5 + 1/36*p**6 + 1/12*p**4 + 3 - 1/6*p. Factor g(n).
(n - 1)*(n + 1)**4/6
Let r(m) be the third derivative of -3/14*m**3 + 0*m - 1/140*m**5 + 1/280*m**6 + 4*m**2 - 5/56*m**4 + 0. Find f such that r(f) = 0.
-1, 3
Let u = -86 + 90. Factor -4*t**2 + t**u + 5 + 3 + 2*t**2 - 7.
(t - 1)**2*(t + 1)**2
Let s(a) = a - 11. Let u be s(14). Solve -12*t**u + 9*t**2 - 21*t**4 + 6 - 3*t**3 + 47*t - 6*t**5 + 6*t**2 - 26*t = 0 for t.
-2, -1, -1/2, 1
Let s = 2295 + -4585/2. Let 0*r - s*r**2 + 0 + 5/2*r**5 - 5/2*r**3 + 5/2*r**4 = 0. Calculate r.
-1, 0, 1
Factor -350*n - 19845 + 181*n - 403*n - 58*n - 5*n**2.
-5*(n + 63)**2
Let b(r) be the second derivative of -r**7/63 - r**6/5 - 23*r**5/30 - 7*r**4/18 + 8*r**3/3 + 16*r**2/3 - 2*r - 7. Suppose b(t) = 0. What is t?
-4, -1, 1
Let s(n) be the first derivative of 16*n**5/45 - 23*n**4/18 + 14*n**3/9 - 5*n**2/9 - 2*n/9 + 50. Factor s(z).
2*(z - 1)**3*(8*z + 1)/9
Let w(t) be the second derivative of 2*t**7/21 + 2*t**6/5 + 2*t**5/5 - t - 52. What is l in w(l) = 0?
-2, -1, 0
Let j(x) = 8*x**2 - 180*x - 216. Let r(y) = y**2 - 20*y - 24. Let d(z) = 3*j(z) - 28*r(z). Factor d(h).
-4*(h - 6)*(h + 1)
Factor -50/3 - 5/3*l**2 + 55/3*l.
-5*(l - 10)*(l - 1)/3
Let k(y) be the second derivative of 19*y + 0*y**2 - 1/66*y**4 + 0 + 1/110*y**5 - 2/33*y**3. Solve k(z) = 0.
-1, 0, 2
Let j(u) be the second derivative of 3*u**5/20 + 3*u**4/4 - u**3/2 - 9*u**2/2 - 6*u + 2. Suppose j(y) = 0. Calculate y.
-3, -1, 1
Suppose -2*o = -o - 2. Let c(x) = -7*x**2 + o*x**4 + 6 - 2*x**4 + x**4 - x - 5*x**3. Let b(h) = h**3 + h**2 - 1. Let i(g) = 6*b(g) + c(g). Factor i(w).
w*(w - 1)*(w + 1)**2
Let j(k) be the first derivative of -k**3 + 9*k**2/2 - 84. Factor j(r).
-3*r*(r - 3)
Let w(v) be the second derivative of v**9/12096 - v**8/3360 + v**6/720 - v**5/480 + v**3/3 + 16*v. Let r(h) be the second derivative of w(h). Factor r(j).
j*(j - 1)**3*(j + 1)/4
Let f(b) be the second derivative of -b**7/840 + b**5/40 + 31*b**4/12 - 5*b. Let l(h) be the third derivative of f(h). Let l(t) = 0. What is t?
-1, 1
Let q(j) = -j**3 + 4*j**2 + 2*j - 3. Let c be q(4). Factor 4*k**c - 88*k**2 + 84*k**3 + 137*k**4 - 99*k**4 + 16*k**2 - 70*k**4.
4*k**2*(k - 3)**2*(k - 2)
Let a be ((-8)/(-16))/(4/40). Let b(h) be the second derivative of 1/30*h**4 + 1/50*h**a + 0*h**2 - 1/15*h**3 - 1/75*h**6 + 6*h + 0. Factor b(s).
-2*s*(s - 1)**2*(s + 1)/5
Suppose -8 = -4*c - 12. Let f be 30*3*(c/14)/(-1). Suppose 7*k**4 - f*k**2 - 4/7 + 4*k**3 - 4*k = 0. Calculate k.
-1, -2/7, 1
Let o(d) = -5*d**4 + 12*d**3 + 21*d**2 - 30*d - 2. Let l(z) = 35*z**4 - 85*z**3 - 145*z**2 + 210*z + 15. Let k(a) = -2*l(a) - 15*o(a). Factor k(t).
5*t*(t - 3)*(t - 1)*(t + 2)
Suppose 15*w + 40 = 10*w. Let c be (-1 + -1 - w) + -4. Determine t so that 497 - 497 - 4*t**3 - c*t**4 = 0.
-2, 0
Let b = 3046/2289 - -2/763. Determine k, given that 4/3*k + 1/3*k**2 + b = 0.
-2
Let q = 51 - 47. Suppose q*z - 29 = -1. Suppose -3*y + z*y**2 + 9/2*y**4 - y**5 + 1/2 - 8*y**3 = 0. Calculate y.
1/2, 1
Let g(m) be the third derivative of 1/45*m**5 + 18*m**2 + 1/9*m**3 + 1/504*m**8 - 1/105*m**7 + 0*m + 1/90*m**6 - 1/12*m**4 + 0. Find a such that g(a) = 0.
-1, 1
Let s(m) be the second derivative of 10*m**7/21 + 52*m**6/15 + 21*m**5/5 - 12*m**4 + 16*m - 3. Suppose s(g) = 0. Calculate g.
-3, 0, 4/5
Factor -7 - 4*k + 4 + k + 7*k**2 - k.
(k - 1)*(7*k + 3)
Let b = 311 - 309. Suppose 2*x - b*g - 4 = 0, -2*x + g + 5 = -0*x. Factor 0*n + 0 + 2/3*n**x - 2/3*n**2 - 2/3*n**5 + 2/3*n**4.
-2*n**2*(n - 1)**2*(n + 1)/3
Let f(j) be the third derivative of 27*j**7/14 + 3*j**6/10 + j**5/75 - 642*j**2 - 2. Suppose f(z) = 0. What is z?
-2/45, 0
Let w(c) be the second derivative of c**7/13860 - c**6/3960 - c**4/2 - 12*c. Let v(k) be the third derivative of w(k). Fac