/8*r**3 + 1/480*r**6 + 0 - 5/96*r**4 + 12*r**2 + 0*r. Find m such that z(m) = 0.
-3, 1
Let d(o) be the second derivative of 1/6*o**3 + 0 - 1/60*o**5 - 2*o - 2*o**2 + 1/30*o**6 - 1/6*o**4. Let w(z) be the first derivative of d(z). Factor w(l).
(l - 1)*(l + 1)*(4*l - 1)
Let o = 12 + -9. Suppose -3*b**5 + 80*b + 35*b**4 - 80 + 4*b**5 - 6*b**5 - 80*b**o + 40*b**2 = 0. What is b?
-1, 2
Let i(n) be the third derivative of n**7/420 - n**6/45 + n**3/2 + n**2. Let y(b) be the first derivative of i(b). Determine z, given that y(z) = 0.
0, 4
Let a = 16 + -12. Suppose a*r - 15 - 1 = 0. Factor -r*s**5 + 3*s + 0*s + s**5 - 6*s**2 + 6*s**4.
-3*s*(s - 1)**3*(s + 1)
Let f = 36 - -2. Factor -f + 38 - 5*i**3 + 8*i - 3*i.
-5*i*(i - 1)*(i + 1)
Let d = 1876 - 1874. Let m(c) be the first derivative of 11/6*c**3 + 2 - c - 5/4*c**d - 1/2*c**4. Let m(s) = 0. What is s?
-1/4, 1, 2
Suppose -y = -3*z + 4*z - 10, 4*y + 5*z - 45 = 0. Factor 5*l + 3*l - y*l + 3*l**2 - 3*l**4 - 3*l**3.
-3*l*(l - 1)*(l + 1)**2
Let y(m) = 2*m - 9. Let w be y(7). Let -w*h**5 + 1667*h**3 + 1 - 1 - 1662*h**3 = 0. What is h?
-1, 0, 1
Suppose 11012 - 11012 + 4*i**3 + 15*i**2 + i**3 - 20*i = 0. What is i?
-4, 0, 1
Suppose -5*c + 5*t = -4*c + 15, -36 = -4*c - 4*t. Determine z so that 8*z**3 - 2*z**5 + 22*z**2 - 3*z**4 - 4*z**c - 19*z**2 - 3*z + z**3 = 0.
-1, 0, 1/2, 1
Factor -1/3*o**4 + 5/3*o**3 + 1/3*o**2 - 4 - 17/3*o.
-(o - 4)*(o - 3)*(o + 1)**2/3
Suppose -218 = -12*d - 26. Factor 2*f**3 + 4 + 2*f**3 - 20*f**2 + 32*f**4 - 6*f + d*f**5 + 2*f.
4*(f + 1)**3*(2*f - 1)**2
Let i(x) be the third derivative of x**7/490 - 109*x**6/280 - 333*x**5/140 - 335*x**4/56 - 8*x**3 - 317*x**2 - 1. Factor i(m).
3*(m - 112)*(m + 1)**3/7
Let j(b) = -b**2 - 5*b. Let w be j(-4). Find u, given that u + w*u + 0*u + 6*u**2 + 19*u**2 = 0.
-1/5, 0
Let a(w) be the second derivative of -w**5/45 + 2*w**3/9 + 4*w**2/9 + 220*w. Suppose a(j) = 0. Calculate j.
-1, 2
Let o = 65 - 13. Factor -143*z**2 - 3*z**3 - 250 + o*z**2 + 150*z + 61*z**2 + 5*z**3.
2*(z - 5)**3
Let u(p) = 3*p**2 - 1305*p + 145200. Let k(q) = -6*q**2 + 2605*q - 290400. Let n(y) = -3*k(y) - 7*u(y). Solve n(m) = 0 for m.
220
Let s(o) be the second derivative of -5*o**4/12 + 125*o**2/2 + o + 7. Factor s(y).
-5*(y - 5)*(y + 5)
Let h(i) be the first derivative of -1058*i**3 - 92*i**2 - 8*i/3 - 418. Determine k so that h(k) = 0.
-2/69
Factor -17 - 4*z**3 - 16 + 5*z**3 - 17 + 59 + 19*z + 11*z**2.
(z + 1)**2*(z + 9)
Solve -9*q**2 - 15/2*q**3 - 12 + 3*q**4 + 30*q = 0 for q.
-2, 1/2, 2
Let z(r) be the second derivative of 5/12*r**4 - 20*r - 1/8*r**5 - 1/30*r**6 + 1/84*r**7 + 0 + 1/3*r**3 - 2*r**2. Find v, given that z(v) = 0.
-2, -1, 1, 2
Let d(q) be the first derivative of q**4/12 + 7*q**3/18 + 7*q**2/12 + q/3 + 233. Let d(z) = 0. What is z?
-2, -1, -1/2
Let m(n) be the first derivative of 4*n**5/5 + 3*n**4 - 8*n**3 - 56*n**2 - 96*n - 81. Let m(h) = 0. What is h?
-2, 3
Let n = 50 + -48. Let h(i) be the first derivative of 0*i**n - 1/16*i**4 + 1/10*i**5 + 5 + 1/24*i**6 + 0*i - 1/6*i**3. Factor h(l).
l**2*(l - 1)*(l + 1)*(l + 2)/4
Suppose 0 = 2*f - 3*u + 72 - 73, -3*u + 9 = 3*f. Determine y so that 0 - 8/7*y - 6/7*y**f + 2/7*y**3 = 0.
-1, 0, 4
Let s be (4 + -8)*(-533)/14. Let o = s - 152. Factor 4/7*w + o + 2/7*w**2.
2*(w + 1)**2/7
Let p(h) = 5*h - 9. Let g be p(2). Let q be 14/30 - (1/(-3))/g. Factor 0*b + 6/5*b**4 + 0*b**2 - q*b**3 + 0.
2*b**3*(3*b - 2)/5
Let y(r) be the first derivative of r**5/20 - 3*r**4/2 + 59*r**3/6 + 39*r**2 + 169*r/4 - 36. Factor y(n).
(n - 13)**2*(n + 1)**2/4
Let s be (1 - 0)*(-22 - 196). Let p = s - -656/3. Factor -4/3 + p*w**2 + 2/3*w.
2*(w - 1)*(w + 2)/3
Determine a, given that 16/7*a**2 - 26/7*a + 12/7 - 2/7*a**3 = 0.
1, 6
Suppose -15*h + 10*h - 190 = 0. Let t = -75/2 - h. Find s such that 0*s + 1/2*s**4 + 0 - 1/2*s**3 - 1/2*s**2 + t*s**5 = 0.
-1, 0, 1
Let c(s) be the first derivative of -s**5/20 + s**4/4 - s**3/2 + 7*s**2 - 1. Let i(p) be the second derivative of c(p). Suppose i(d) = 0. Calculate d.
1
Let s be (-416)/(-143) + (-30)/(-330). Factor 1/5*m**s + 3/5*m**5 + 0 - m**4 + 0*m + 1/5*m**2.
m**2*(m - 1)**2*(3*m + 1)/5
Let s(m) be the third derivative of 0*m + 0 - 1/60*m**4 - 1/840*m**8 + 0*m**3 - 25*m**2 + 0*m**5 + 1/150*m**6 + 0*m**7. Find g, given that s(g) = 0.
-1, 0, 1
Let w(f) be the first derivative of f**5/30 - 2*f**4/3 + 16*f**3/3 + 11*f**2/2 + 9. Let y(t) be the second derivative of w(t). Factor y(l).
2*(l - 4)**2
Let q(i) be the third derivative of i**7/525 - 9*i**6/25 + 1511*i**5/75 - 477*i**4/5 + 2809*i**3/15 - 20*i**2 - i. Determine l so that q(l) = 0.
1, 53
Let s(a) be the first derivative of a**7/2520 - a**6/270 + a**5/90 - 11*a**3/3 + 6. Let q(o) be the third derivative of s(o). Factor q(i).
i*(i - 2)**2/3
Let d(o) be the third derivative of 0 - 7/240*o**5 + 12*o**2 + 1/80*o**6 + 1/96*o**4 + 0*o**3 + 0*o. Factor d(q).
q*(q - 1)*(6*q - 1)/4
Let t(d) be the third derivative of -d**8/784 - 3*d**7/245 - 9*d**6/280 - 247*d**2. Factor t(x).
-3*x**3*(x + 3)**2/7
Let f = -139 - -141. Let o(k) = -5*k**2 + 12*k + 15. Let r(h) = 10*h**2 - 25*h - 30. Let d(i) = f*r(i) + 5*o(i). Factor d(l).
-5*(l - 3)*(l + 1)
Suppose -5*c + j + 32 = -23, 0 = -c + 4*j + 30. Suppose -4*y = c - 18. Factor -3*l**3 + 2*l**5 - 5*l**y + 4*l**4 - l**5 - 2*l - 3*l**4.
l*(l - 2)*(l + 1)**3
Let m = 3785/4 + -946. Let k(q) be the first derivative of 1/12*q**3 + 5/8*q**4 + 0*q - m*q**2 + 1. Factor k(j).
j*(2*j + 1)*(5*j - 2)/4
Let c(z) be the third derivative of -z**8/8640 - z**7/1680 - z**6/1080 - 7*z**5/20 - 15*z**2. Let y(k) be the third derivative of c(k). Factor y(p).
-(p + 1)*(7*p + 2)/3
Let j be -19 + 15 - (-1 + -7). Factor -11*r + 6*r**3 + 15*r - 14*r**2 + 32 - j*r**3 + 12*r.
2*(r - 4)**2*(r + 1)
Let v(b) = b**2 + 9*b + 21. Let c be v(-7). Factor 9*p - c*p**2 - 3*p**2 + 6*p**4 + 4*p**2 + 3*p**5 - 12*p.
3*p*(p - 1)*(p + 1)**3
Suppose 5*k + 20 + 257 = 2*c, -5*c = -k - 727. Let z = c + -430/3. Factor -8/3*d - z - 2/3*d**2.
-2*(d + 2)**2/3
Let i be 2/((4/10)/1). Suppose 13*k = -3*k - 19*k. Solve -i*x**2 + x**2 - 1 + k*x**2 + 5 = 0.
-1, 1
Factor -1/4*r**2 - 5/4*r - 1.
-(r + 1)*(r + 4)/4
Let f(s) be the second derivative of -1/70*s**6 - 1/14*s**3 + 3/140*s**5 + 0 - 3/7*s**2 - 27*s + 3/28*s**4. Suppose f(x) = 0. Calculate x.
-1, 1, 2
Let s(v) be the first derivative of v**6/30 - 2*v**5/5 + 9*v**4/20 + 21. Find t such that s(t) = 0.
0, 1, 9
Let n(f) = 2*f**2 - 65*f - 2171. Let m be n(53). Let 1/6 + 1/6*w**m + 1/3*w = 0. Calculate w.
-1
Let u(n) = -2*n - 8. Let z be u(-6). Suppose -z*b + 5 + 3 = 0. Solve -w**4 - 2*w**3 - 4*w**2 + 5*w**3 + b*w**2 = 0.
0, 1, 2
Let q(l) be the third derivative of -1/120*l**5 - 5/72*l**4 - 12*l**2 - 1/12*l**3 + 0 + 0*l. Factor q(n).
-(n + 3)*(3*n + 1)/6
Let u(t) = -41 + t**2 + 6*t - 2*t + 29. Let l be u(-6). Factor -8/7*z**2 + l + 2/7*z**5 - 8/7*z**4 + 12/7*z**3 + 2/7*z.
2*z*(z - 1)**4/7
Factor 112*s + 54*s**3 + 1684*s**4 - 16*s - 1686*s**4 - 148*s**2.
-2*s*(s - 24)*(s - 2)*(s - 1)
Let y(k) = -7*k**2 - 12*k - 21. Let z(q) = -16*q**2 - 24*q - 40. Let u(p) = -7*y(p) + 3*z(p). Factor u(b).
(b + 3)*(b + 9)
Suppose -1671 = 17*o + 2392. Let x = -1193/5 - o. Factor x*u**3 - 2/5*u + 2/5 - 2/5*u**2.
2*(u - 1)**2*(u + 1)/5
Let k = -106 - -114. Factor 15*w - 3*w**3 + 5 - 4 + k*w**2 + 8 - 5*w**2.
-3*(w - 3)*(w + 1)**2
Let h(g) = g**2 + 2*g + 2. Let w(k) = 6*k**2 - 8*k + 332. Let v(o) = 10*h(o) - w(o). Factor v(m).
4*(m - 6)*(m + 13)
Factor 1/6*j**2 - 1/3 - 1/6*j.
(j - 2)*(j + 1)/6
Let o(h) be the third derivative of h**7/1050 + h**6/120 + h**5/150 - h**4/15 + 4*h**2 - 12. Factor o(s).
s*(s - 1)*(s + 2)*(s + 4)/5
Suppose 2*g - 9 = -5. Suppose 3*u + g*u + 3*l + 2 = 0, 2*u = -5*l - 16. Solve -18*n + u - n**2 + 2*n**2 + 15*n = 0 for n.
1, 2
Suppose -56/11*g + 2/11*g**2 + 392/11 = 0. What is g?
14
Let x(k) = k**3 + 10*k**2 + 2*k + 20. Let v be x(-10). Let n be 2 + v + 1 + (-6 - -6). Factor 0 + 0*r - 2/5*r**n + 2/5*r**2.
-2*r**2*(r - 1)/5
Suppose 2/17*c**4 + 46/17*c**2 + 30/17*c + 18/17*c**3 + 0 = 0. What is c?
-5, -3, -1, 0
Suppose -5*z - 3 + 23 = 0. Suppose -2*q + z = -q. Factor -4*b**2 + q - 3 + b**2 + 2*b**2.
-(b - 1)*(b + 1)
Let d(i) be the second derivative of 2*i**6/15 - 12*i**5/5 + 17*i**4 - 176*i**3/3 + 96*i**2 - 102*i. Factor d(z).
4*(z - 4)*