6/100 - 31*l**5/150 - 31*l**4/30 + 8*l**3/5 - 2*l**2 + 199. Determine j so that t(j) = 0.
-2, 1/3, 12
Suppose -1 = k - h - 3, 3*k + h = 6. Factor -u**2 + 5*u**4 + k*u**2 - 2*u**2 - 4*u**2.
5*u**2*(u - 1)*(u + 1)
Factor 204/7*i + 5202/7 + 2/7*i**2.
2*(i + 51)**2/7
Let u(q) be the third derivative of q**5/120 - 3*q**4/16 + 3*q**3/2 - 437*q**2. Factor u(o).
(o - 6)*(o - 3)/2
Let b(k) be the second derivative of 14*k + 0 - 1/20*k**4 - 7/30*k**3 - 1/5*k**2. Let b(o) = 0. What is o?
-2, -1/3
Let w be ((-2)/3)/((-14)/(-21)). Let v(s) = s**4 - s**3 - s**2 - s. Let z(g) = 5*g**4 - 3*g**3 - 8*g**2 - 8*g. Let c(h) = w*z(h) + 4*v(h). Factor c(a).
-a*(a - 2)*(a + 1)*(a + 2)
Let c(s) = -s**4 - 20*s**3 + 23*s**2 + 2. Let w(r) = 40*r**3 - 45*r**2 - 5. Let h(i) = 5*c(i) + 2*w(i). Solve h(t) = 0.
-5, 0, 1
Let h = 664 + -664. Let z(p) be the second derivative of 0 + h*p**3 + 10*p - 1/12*p**4 + 0*p**2. Determine v, given that z(v) = 0.
0
Let m(t) be the first derivative of -2*t - 1/2*t**2 + 6 + t**3. Determine u so that m(u) = 0.
-2/3, 1
Let w(x) = -x**2 + 8*x - 5. Let k be w(7). Suppose g = k*g - 3. Factor 1 - 4*u + 4*u**3 + u**3 - u**g - 8*u**2 + 7.
4*(u - 2)*(u - 1)*(u + 1)
Let s(a) = -6*a - 27. Let b be s(-5). Solve -388*x**3 + 3*x**2 + 3*x**2 + 385*x**b - 3*x**2 = 0.
0, 1
Let p be 72/495*(-5)/(-6)*13. Let t = p - 10/11. What is r in -t*r - 1/3*r**2 + 0 = 0?
-2, 0
Let n(p) be the first derivative of 0*p**4 - 11 - 4/5*p**5 + 0*p**2 + 0*p + 0*p**3. Factor n(h).
-4*h**4
Let b(k) be the second derivative of -1/20*k**5 + 0*k**3 + 1/126*k**7 + 0*k**2 + 19*k + 0 + 1/18*k**4 + 0*k**6. Factor b(l).
l**2*(l - 1)**2*(l + 2)/3
Let p(u) be the first derivative of 2*u**3/7 + 15*u**2/7 - 36*u/7 - 164. Factor p(y).
6*(y - 1)*(y + 6)/7
Let n(o) be the first derivative of 0*o + 5/3*o**3 - 20*o**2 - 39. Factor n(m).
5*m*(m - 8)
Let g(n) be the first derivative of 3*n**7/10 + n**6/5 - n**5/5 - 11*n**2/2 - 20. Let h(w) be the second derivative of g(w). Suppose h(o) = 0. What is o?
-2/3, 0, 2/7
Let l(o) be the third derivative of -o**7/840 - o**6/120 - o**5/48 - o**4/48 + 84*o**2 - 2*o. Solve l(t) = 0 for t.
-2, -1, 0
Let y(k) = 21*k - 231. Let h be y(11). Let d(g) be the first derivative of 2 - 10/27*g**3 + h*g - 1/9*g**2. Factor d(t).
-2*t*(5*t + 1)/9
Let i be 4 + -7 - (3 - 2). Let h be 22 - (-1 - (-4)/i). Let -9*a**2 + 8*a**4 + 35*a**2 + 1 - h*a**3 - 12*a + 1 = 0. What is a?
1/2, 1
Suppose 951*k + 40 = 961*k. Let w be (-1 - -16)*(-2)/(-6). Let 0*z**2 + 0 + 0*z + 0*z**3 - 1/3*z**w + 0*z**k = 0. Calculate z.
0
Let 13*w**2 - 2*w**3 - 7*w**2 - 6 - 2 = 0. What is w?
-1, 2
Let n be ((-88)/16 - -5)/((-12)/18). Let -r - 1/4 - n*r**2 = 0. Calculate r.
-1, -1/3
Let a be (-2)/(-4) + -1 + 1. Let n be (-45)/36*(216/(-40) + 3). Factor s**2 + 0*s**n - a*s**4 + 0*s - 1/2.
-(s - 1)**2*(s + 1)**2/2
Let w(s) = s**2 - s - 1. Let m(g) = -10*g**2 - 10*g - 6. Let r(h) = -m(h) - 6*w(h). Find u such that r(u) = 0.
-3, -1
Let c be 4 - 2 - ((-1272)/138)/(-4). Let n = c - -65/138. Factor -1/2*f - 1/6*f**3 + n*f**4 + 0 - 5/6*f**2.
f*(f - 3)*(f + 1)**2/6
Let v(l) be the second derivative of -l**4/18 - l**3/9 + 58*l. Factor v(f).
-2*f*(f + 1)/3
Let v(j) be the second derivative of 7/54*j**4 - 1/3*j**3 + 2/9*j**2 + 5*j + 0. Factor v(y).
2*(y - 1)*(7*y - 2)/9
Let s(u) = 26*u + 521. Let c be s(-20). Suppose -5/2*a + 2*a**4 - a**2 + 1/2*a**5 - c + 2*a**3 = 0. What is a?
-2, -1, 1
Let q(r) be the first derivative of 4*r**4/3 - 2*r**2 + 14*r - 8. Let c(b) be the first derivative of q(b). Factor c(i).
4*(2*i - 1)*(2*i + 1)
Let l(f) be the second derivative of -f**7/630 - f**6/36 - 2*f**5/15 + f**4 + 9*f. Let b(v) be the third derivative of l(v). Factor b(s).
-4*(s + 1)*(s + 4)
Let g = -216877/14 + 30983/2. Suppose -16/7 + 24/7*y - 12/7*y**2 + g*y**3 = 0. Calculate y.
2
Solve -2 + 17*z**5 - 18*z - 10 + 34*z**2 - 41*z**5 + 94*z**3 - 28*z - 46*z**4 = 0.
-3, -2/3, -1/4, 1
Let y(k) = 5*k**4 + 70*k**3 + 175*k**2 - 180*k + 35. Let f(m) = -m**4 - 12*m**3 - 29*m**2 + 30*m - 6. Let z(r) = -35*f(r) - 6*y(r). Factor z(h).
5*h*(h - 2)*(h - 1)*(h + 3)
Let p = -318 + 1909/6. Let n(u) be the second derivative of 0*u**5 + p*u**4 - 1/15*u**6 + 0*u**3 - 4*u + 0*u**2 + 0. Factor n(a).
-2*a**2*(a - 1)*(a + 1)
Let a(q) = q**5 - 2*q**4 + 3*q**3 + 2*q**2 + 2. Let v(g) = -3*g**5 + 4*g**4 - 7*g**3 - 4*g**2 - 5. Let m(j) = 5*a(j) + 2*v(j). Factor m(n).
-n**2*(n - 1)*(n + 1)*(n + 2)
Solve 2*i**4 - 470 + 165*i**2 + 3*i**4 - i**3 + 1161*i - 76*i**3 - 16 = 0 for i.
-3, 2/5, 9
Let l = -2 + 12. Suppose 4*u - 5*f = -l, -2*f = 5*u + 2*f - 8. Solve -2*d**3 + 0*d**3 - 4*d**3 + u*d**3 + 3*d**4 + 3*d**5 = 0 for d.
-2, 0, 1
Suppose 6 = -86*o + 73*o + 32. Let -4/7 - 6/7*v - 2/7*v**o = 0. What is v?
-2, -1
Let x(b) be the third derivative of -b**8/112 + b**7/7 - 29*b**6/40 + 8*b**5/5 - 3*b**4/2 + 162*b**2 + b. Determine s, given that x(s) = 0.
0, 1, 2, 6
Let d(w) be the third derivative of w**5/270 + w**4/108 - 2*w**3/9 + 5*w**2 + 3*w. Find b, given that d(b) = 0.
-3, 2
Let i = 16 + -16. Let l = i - -2. Let 2 + 3 - 1 + 10*f - 10*f**3 - 4*f**l = 0. Calculate f.
-1, -2/5, 1
Let s = 262 - 262. Determine u so that 0*u**3 + 0*u**2 + s + 3/4*u**5 - 3*u**4 + 0*u = 0.
0, 4
Suppose -4*n + 7*j - 8*j = -804, -4*j = n - 216. Let c = n + -198. Factor -4/7*b**c + 6/7*b - 4/7*b**3 - 2/7 - 2/7*b**5 + 6/7*b**4.
-2*(b - 1)**4*(b + 1)/7
Let d(f) = -f. Let l be d(-4). Suppose 5*z + 18 = l*r, -r + 4 = 12*z - 13*z. Factor 1/3*n**r + 2/3*n + 0.
n*(n + 2)/3
Determine d so that 0 - 9/4*d + 5/2*d**3 - 1/4*d**5 + 2*d**4 - 2*d**2 = 0.
-1, 0, 1, 9
Let d(p) be the first derivative of 7 - 1/4*p**4 - p + 1/3*p**3 + 1/2*p**2. Let l(s) = 11*s**3 - 2*s**2 - 5*s + 5. Let x(z) = 5*d(z) + l(z). Factor x(r).
3*r**2*(2*r + 1)
Let h = -12 + 15. Factor 43*b + 3*b**3 - 24*b**2 - 3*b**3 - 54 - 106*b - h*b**3.
-3*(b + 2)*(b + 3)**2
Let u(x) = -x**2 - 5*x + 2. Let b be u(-6). Let t be (-10)/(-4) - 2/b. Let a**4 - 4*a + 3*a**2 + t*a**3 + 5*a - 2*a**3 + 2*a**3 = 0. Calculate a.
-1, 0
Let z(h) = 3*h**3 - 15*h**2 + 5*h + 4. Let q be z(6). Let i = q - 704/5. Factor -24/5*g**2 - 21/5*g + i*g**4 + 3/5*g**5 - 6/5 - 6/5*g**3.
3*(g - 2)*(g + 1)**4/5
Let m = 408 + -406. Let i(a) be the first derivative of 4/9*a**3 + 0*a + 4/3*a**m + 3. Factor i(w).
4*w*(w + 2)/3
Determine p so that 56 - 169/3*p + 1/3*p**2 = 0.
1, 168
Let k(m) be the second derivative of m**5/35 + 4*m**4/21 + 13*m**3/42 + 3*m**2/14 - 11*m - 4. Factor k(z).
(z + 3)*(2*z + 1)**2/7
Let s = -16 - -7. Let x = 13 + s. Suppose 10*b**x + b**3 + b**5 + 8*b**4 - 16*b**4 = 0. Calculate b.
-1, 0
Suppose -3*r - 12*r + 135 = 0. Let i(y) be the first derivative of r*y**3 + 15/4*y**4 + 4 + 6*y + 3/5*y**5 + 21/2*y**2. Find b such that i(b) = 0.
-2, -1
Let q(s) be the second derivative of -6*s + 0 - 3/2*s**2 - 3/20*s**5 + 1/4*s**4 + 1/2*s**3. What is f in q(f) = 0?
-1, 1
Let w be (-112)/(-12) + (-4)/(-6). Suppose w*t - 7*t = 0. Suppose -a**2 + 12 - 2*a**2 + t*a + 0*a = 0. What is a?
-2, 2
Factor -1/6*f**2 + 2/3 + 0*f.
-(f - 2)*(f + 2)/6
Let -8*y + 1350*y**5 - 36*y**3 + 23*y**2 + 15*y**3 - 1349*y**5 + 5*y**4 = 0. Calculate y.
-8, 0, 1
Let l(p) = 41 - 127 + p**2 - 13*p + 21 + 38. Let w be l(15). Factor -2/11*q**4 - 26/11*q**2 - 12/11*q**w - 24/11*q - 8/11.
-2*(q + 1)**2*(q + 2)**2/11
Let l(x) = 22*x**2 - 225*x + 49. Let u(w) = -7*w**2 + 75*w - 14. Let i(k) = 2*l(k) + 7*u(k). Factor i(p).
-5*p*(p - 15)
Determine q, given that 592224*q - 592224*q + 69*q**5 + 73*q**3 + 140*q**4 + 2*q**2 = 0.
-1, -2/69, 0
Let k be 2/(-28)*432/108*-5. Factor -k*n + 6/7*n**2 - 4/7.
2*(n - 2)*(3*n + 1)/7
Let s(b) be the first derivative of b**6/15 + 6*b**5/25 + b**4/10 - 2*b**3/5 - 2*b**2/5 - 270. Let s(u) = 0. What is u?
-2, -1, 0, 1
Let z(r) be the second derivative of r**7/42 - 2*r**6/3 + 9*r**5/5 + r**4/6 - 37*r**3/6 + 9*r**2 + 224*r. Factor z(t).
(t - 18)*(t - 1)**3*(t + 1)
Let m(h) be the first derivative of h**9/756 + h**8/168 + h**7/420 - h**6/90 - 11*h**3/3 - 20. Let f(z) be the third derivative of m(z). Solve f(s) = 0 for s.
-2, -1, 0, 1/2
Determine m, given that -4/5*m - 2/15*m**2 - 16/15 = 0.
-4, -2
Let c(h) be the second derivative of 3*h**5/20 + h**4/2 - h**3/2 - 3*h**2 + 448*h. Factor c(u).
3*(u - 1)*(u + 1)*(u + 2)
Let u = -1174/63 - -169/9. Factor u*v**4 + 0 + 4/7*v**