*o**2 + 47. Factor d(z).
-2*z*(z - 2)*(z - 1)*(z + 2)/3
Let d(z) = 4*z - z**2 + 10 + 0*z + 0 - 11*z. Let c be d(-8). Factor -9/5*o**c + 0 + 6/5*o - 9/5*o**5 - 9/5*o**3 + 21/5*o**4.
-3*o*(o - 1)**3*(3*o + 2)/5
Let p be (-2)/(-3)*(-18 - -21). Let w(u) be the third derivative of 0 + 8*u**p + 0*u**3 + 1/60*u**6 + 0*u**5 + 0*u + 0*u**4 + 1/105*u**7. Factor w(n).
2*n**3*(n + 1)
Let z(j) be the first derivative of 5*j**6/18 + 28*j**5/15 - 9*j**4/4 - 274*j**3/9 - 64*j**2/3 + 32*j + 249. Suppose z(k) = 0. What is k?
-4, -1, 2/5, 3
Let t(u) = 3*u**3 - 5*u**2 - 2*u. Let q(s) = s**3 - 2*s**2. Let c(p) = -6*q(p) + 3*t(p). Solve c(i) = 0 for i.
-1, 0, 2
Let v(r) = -17*r**4 - 78*r**3 - 56*r**2 + 16*r. Let s(b) = -52*b**4 - 234*b**3 - 169*b**2 + 50*b. Let x(c) = -4*s(c) + 11*v(c). Suppose x(m) = 0. Calculate m.
-2, 0, 2/7
Let b be 136 - (0/(2 + -5))/2. Determine d, given that -4*d - 7*d**2 + 28*d**5 - 104*d**4 - 67*d**2 + 10*d**2 + 8 + b*d**3 = 0.
-2/7, 1
Factor 7/5*a**2 + 0*a + 1/5*a**3 + 0.
a**2*(a + 7)/5
Let i = -4326 - -4329. Factor -8/5 + 38/5*d - 22/5*d**2 - 8/5*d**i.
-2*(d - 1)*(d + 4)*(4*d - 1)/5
Suppose -5*q - 2*s = -61, -q + 0*q - 3*s + 7 = 0. Let b = -11 + q. Factor -4*i**b - 45 + 9 - 18*i - 6*i.
-4*(i + 3)**2
Let f be 14/4 + (-1338)/(-892). Let 1/2*o**2 + 0*o - 1/4*o**f + 3/4*o**3 + 0 + 0*o**4 = 0. What is o?
-1, 0, 2
Let p(m) be the second derivative of 17*m + 3/40*m**6 - 7/16*m**4 + 9/56*m**7 + 0 - 51/80*m**5 + 3/2*m**2 + m**3. Let p(w) = 0. What is w?
-1, -2/3, 1
Let k = 33 + -13. Let v = k + -14. Suppose -2*y**3 + 3*y**3 - v*y**2 + 7*y**2 = 0. Calculate y.
-1, 0
Let p(i) be the second derivative of -i**6/900 - i**5/150 + i**4/20 - 2*i**3 - 17*i. Let v(y) be the second derivative of p(y). Factor v(d).
-2*(d - 1)*(d + 3)/5
Let k(g) be the first derivative of -5*g**6/6 - 5*g**5 + 35*g**4/4 + 385*g**3/3 + 345*g**2 + 360*g - 823. Suppose k(f) = 0. What is f?
-3, -2, -1, 4
Suppose -9 = -3*k + 3. Suppose -20 = c - k*g, -g = 4*c - 0*g - 5. Factor 1/4*r**2 + 1/2*r + c - 1/4*r**3.
-r*(r - 2)*(r + 1)/4
Find b such that 8/3 + 175*b**5 - 34/3*b**2 + 1040/3*b**4 - 4877/9*b**3 + 260/9*b = 0.
-3, -2/15, 2/7, 1
Let s = 21 + -17. Let b be (-9)/(-24)*((-32)/(-6))/s. Factor 9/2 + b*f**2 - 3*f.
(f - 3)**2/2
Factor -3/2*s + 3/8*s**4 + 6 - 3/8*s**3 - 9/2*s**2.
3*(s - 4)*(s - 1)*(s + 2)**2/8
Solve -54*v + 13*v**2 + 3*v**3 + 19*v + 0*v**2 + 24*v - 5 = 0 for v.
-5, -1/3, 1
Let a(g) = 7*g**2 + 30*g - 40. Let x(h) = -16*h**2 - 57*h + 80. Let b(c) = -7*a(c) - 3*x(c). Suppose b(v) = 0. What is v?
-40, 1
Let n(o) be the second derivative of o**5/450 - 9*o**2/2 - 4*o. Let f(g) be the first derivative of n(g). Factor f(z).
2*z**2/15
Let p(z) be the second derivative of 5*z**7/42 - z**5/4 - 362*z. Factor p(t).
5*t**3*(t - 1)*(t + 1)
Suppose -10*g + 13 = -57. Suppose -9*c - h = -g*c, -2*h = -2*c. Factor 8/5*u**2 + c + 2/5*u.
2*u*(4*u + 1)/5
Let f(g) be the third derivative of g**6/780 - 2*g**5/65 - 7*g**4/39 - 2*g**2 + 145*g. Factor f(u).
2*u*(u - 14)*(u + 2)/13
Let k(g) be the second derivative of 2 + 0*g**2 - 12*g - 1/10*g**6 + 2*g**3 - 9/20*g**5 + 0*g**4. Factor k(a).
-3*a*(a - 1)*(a + 2)**2
Let n(f) be the first derivative of -f**3/4 - 117*f**2/4 - 4563*f/4 + 162. Factor n(i).
-3*(i + 39)**2/4
Let t(a) = a**2 - 1. Let o(r) = -r. Let h(i) = 4*i**2 - 6. Let n(x) = -h(x) + 4*o(x). Let p(c) = -n(c) - 6*t(c). Determine q so that p(q) = 0.
0, 2
Determine j so that 122*j + 90*j**2 + 120 - 150 - 98*j**2 = 0.
1/4, 15
Let g be 4/70 + -22*167/(-3080). Factor g*l**3 + 1/2*l - 7/4*l**2 + 0.
l*(l - 1)*(5*l - 2)/4
Let p(i) be the third derivative of -i**8/84 - 2*i**7/5 - 119*i**6/30 - 79*i**5/15 + 20*i**4 + 200*i**3/3 + 30*i**2 - i. What is n in p(n) = 0?
-10, -1, 1
Let f be ((-10)/(-6))/(2/6). Factor -4 + 5*x**2 + f*x - 26*x**2 - 21*x - 9*x**3.
-(x + 1)*(3*x + 2)**2
Let x = 725 - 723. Let d(r) be the second derivative of 1/25*r**5 + 1/15*r**4 + 0*r**3 - 7*r + 0 + 0*r**x. Let d(j) = 0. What is j?
-1, 0
Let j(f) be the second derivative of f**9/22680 - f**8/6720 + f**7/7560 - f**4 + 13*f. Let m(y) be the third derivative of j(y). Suppose m(c) = 0. Calculate c.
0, 1/2, 1
Suppose 0*f - 3*f - 3*y = -567, 5*f - 5*y = 985. Suppose -g = 4*j - f, 9*j - 4*j - 5*g - 235 = 0. Factor -39/4*o**4 - 3/4*o**5 - 84*o**2 - 45*o**3 + 0 - j*o.
-3*o*(o + 1)*(o + 4)**3/4
Let s be 26/65 + (-24)/10. Let w be s/6 - 21/(-9). Factor 0*b**3 + 0*b**3 - 3*b**3 + 3*b + 3 - 3*b**w.
-3*(b - 1)*(b + 1)**2
Let v = 72232/5 - 14527. Let h = v + 83. Factor -h*d + 18/5 + 2/5*d**2.
2*(d - 3)**2/5
Suppose 14/3*g + 0 - 2/3*g**2 = 0. Calculate g.
0, 7
Let v(c) = -c**2 - 9*c + 25. Let s be v(-11). Let k(t) be the second derivative of 0*t**2 + 0*t**3 + s*t + 0 + 1/12*t**4 + 1/10*t**5 + 1/30*t**6. Factor k(u).
u**2*(u + 1)**2
Let c(o) be the third derivative of o**6/600 - 19*o**5/300 + 11*o**4/24 + 5*o**3/2 - 48*o**2. Let c(i) = 0. What is i?
-1, 5, 15
Factor -510/7*v + 21675/7 + 3/7*v**2.
3*(v - 85)**2/7
Let z be (-465)/(-15) + 3/(-3). Let h be 3*(z/(-8) + (14 - 10)). Factor -1/2*b**2 + h*b**4 - 3/4*b - 1/4 + 1/4*b**5 + 1/2*b**3.
(b - 1)*(b + 1)**4/4
Let j be -4 - ((-342)/(-2) + -2). Let y = -173 - j. Find b, given that y - 12*b**3 - 3/2*b + 33/4*b**2 + 21/4*b**4 = 0.
0, 2/7, 1
Let v = -1508296/11 + 137237. Let l = -119 + v. Determine o, given that l*o**2 + 2/11*o + 0 = 0.
-1, 0
Let c(n) = 45*n**3 - 2860*n**2 + 40895*n + 16825. Let y(p) = 22*p**3 - 1428*p**2 + 20448*p + 8413. Let j(i) = 3*c(i) - 5*y(i). Solve j(o) = 0 for o.
-2/5, 29
Let o be (2*(-28)/24)/((-147)/126). Let y(m) be the second derivative of -1/14*m**o - 8*m + 1/42*m**3 + 0 - 1/140*m**5 + 1/84*m**4. Factor y(c).
-(c - 1)**2*(c + 1)/7
Let a be 60*7/((-21)/(-2)). Suppose -3*f + 42 = -3*r, -2*f + a = -3*r + 13. Factor -19*d**2 + 0*d**3 - 6 + 7*d**2 - f*d + 3*d**3 - 6*d**3.
-3*(d + 1)**2*(d + 2)
Let y(s) be the first derivative of s**5/150 - 7*s**4/60 + 23*s**2/2 + 2. Let d(n) be the second derivative of y(n). Factor d(h).
2*h*(h - 7)/5
Let -3849*x**5 + 56*x**3 + 202*x**4 + 7724*x**5 + 43*x**4 - 3800*x**5 - 12*x**2 = 0. Calculate x.
-3, -2/5, 0, 2/15
Suppose -3*h = -2*h. Let o be -4 + 1/((-5)/(-35)). Let 6 - 5*n**3 + h*n + 10*n - n + 2*n**o = 0. What is n?
-1, 2
Let x(b) = -2*b**2 + 31*b - 101. Let j(l) = -113 - 4*l**2 - 27*l - 88 + 46*l + 42*l. Let r(m) = 3*j(m) - 5*x(m). What is g in r(g) = 0?
7
Let p(y) be the third derivative of y**7/105 + y**6/12 + y**5/5 + 2*y**2 - 269*y. Factor p(w).
2*w**2*(w + 2)*(w + 3)
Let j = -8176/39 - -2838/13. Factor -6*c**3 + 0 - 10/3*c**5 - 2/3*c**2 + j*c**4 + 4/3*c.
-2*c*(c - 1)**3*(5*c + 2)/3
Let b(z) be the second derivative of z**4/8 - 7*z**3/4 + 9*z**2/2 - 2*z - 11. Determine a, given that b(a) = 0.
1, 6
Suppose -2*b + 3 = -7. Find l such that -12*l**5 - 4*l**4 + 12*l**3 - 3*l**5 - 6*l**5 - 8*l + 4*l**2 + 17*l**b = 0.
-2, -1, 0, 1
Factor 3/2*f**2 - 7/4*f**4 + 3/4*f**5 + 1/4 - 5/4*f + 1/2*f**3.
(f - 1)**3*(f + 1)*(3*f - 1)/4
Let p(f) = -f**2 + 9*f - 16. Let n be p(6). Let a(i) = -i - 2. Let g be a(-5). What is d in 99*d**n + 3 + 6*d + 6 - 9*d - 27*d**g - 54*d = 0?
1/3, 3
Let u(b) be the third derivative of -2*b**7/105 - b**6/30 + 2*b**5/15 - 152*b**2. Factor u(j).
-4*j**2*(j - 1)*(j + 2)
Let t(p) be the second derivative of p**6/10 + 2*p**5/5 + p**4/12 - 4*p**3/3 - 2*p**2 - 74*p. Determine k so that t(k) = 0.
-2, -1, -2/3, 1
Let a(s) = -61*s**2 + 482*s + 256. Let p(k) = -k**3 - 304*k**2 + 2411*k + 1280. Let o(l) = 22*a(l) - 4*p(l). Suppose o(u) = 0. What is u?
-1/2, 16
Suppose -3*o + 29 = 2*p, 0*o + 5*o = 4*p + 19. Factor o*d - 12*d - 11 + d**2 + 1 + 4*d**2.
5*(d - 2)*(d + 1)
Suppose -5 = -2*y + 3*q, 28*y - 27*y - q = 3. Suppose -4/3*w**2 + 0 + 4/3*w**3 + 4/3*w**y - 4/3*w**5 + 0*w = 0. What is w?
-1, 0, 1
Suppose -6 = -62*t + 242. Factor 0*y**3 - y**2 + 1/2*y + y**t - 1/2*y**5 + 0.
-y*(y - 1)**3*(y + 1)/2
Let i(a) be the first derivative of -a**5/15 + a**4/2 - 4*a**3/3 - 7*a**2/2 - 18. Let m(v) be the second derivative of i(v). Find o such that m(o) = 0.
1, 2
Let p(l) be the first derivative of 3/8*l**2 - 3/16*l**4 - 4 + 1/4*l**3 - 3/20*l**5 + 0*l. Factor p(x).
-3*x*(x - 1)*(x + 1)**2/4
Let -4*q**2 + 0*q + 14 + 6*q + 15 - 31 = 0. What is q?
1/2, 1
Let c be (-44)/506 + (-456)/(-483). Factor c*o**2 - 9/7 + 3/7*o**4 - 12/7*o + 12/7*o