(d) = 0. Calculate d.
-1, 1
Factor -32/7 - 36/7*d**3 + 136/7*d**2 - 16*d.
-4*(d - 2)**2*(9*d + 2)/7
Suppose 33*d - 93*d = -13 - 227. Factor 2/3*j**d + 0*j + 2/3*j**5 + 0 - 2/3*j**3 - 2/3*j**2.
2*j**2*(j - 1)*(j + 1)**2/3
Let z be ((-138)/92)/((-22)/16 + 1). Let d be 10/z*(64/10)/8. Factor 0 - 3/5*k**4 - 9/5*k**3 + 0*k - 6/5*k**d.
-3*k**2*(k + 1)*(k + 2)/5
Let z = -3 - -8. Suppose -3*g - 5*m = -25, m + 0 = z. Solve 5*d**3 - d**3 - 2*d - 3*d**3 + g*d + d**2 = 0.
-2, 0, 1
Let j(s) = 26*s**3 + 42*s**2 + 8*s + 4. Let y(l) = 25*l**3 + 41*l**2 + 7*l + 5. Let m(z) = -5*j(z) + 4*y(z). Factor m(f).
-2*f*(3*f + 1)*(5*f + 6)
Let n(w) be the first derivative of -33/16*w**4 + 7/5*w**5 + 0*w - 11 - 5/24*w**6 + 1/6*w**3 + w**2. Solve n(h) = 0 for h.
-2/5, 0, 1, 4
Let k = 0 + 8. Suppose k*z + 9 = 5*z, q - 2*z = 8. Factor 6*s + 3*s**3 + q + 13/2*s**2 + 1/2*s**4.
(s + 1)**2*(s + 2)**2/2
Let f = -459 - -463. Let y be (-3)/(-12) + (-15)/(-4). Factor 2*x**3 + 0*x**3 + 4*x**f - 4*x**2 - 12*x**2 + 2*x**y + 8*x.
2*x*(x - 1)*(x + 2)*(3*x - 2)
Let v = 1187 + -1187. Factor v + 0*o**4 - 2/9*o**3 + 0*o + 0*o**2 + 2/9*o**5.
2*o**3*(o - 1)*(o + 1)/9
Let m = 3968 - 3968. Find d, given that 0*d - d**2 + m - 1/2*d**3 = 0.
-2, 0
Let m = 13/51 - -133/34. Determine p so that -5/3*p**2 - m*p - 5/3 = 0.
-2, -1/2
Let v(b) be the first derivative of -3/2*b + 5/8*b**2 - 1/12*b**3 - 25. Factor v(z).
-(z - 3)*(z - 2)/4
Let b(l) = l**3 - 9*l**2 + 8*l + 3. Let c be b(8). Suppose 5*t**2 + 7*t**5 - 6*t**3 + 13*t**5 - 9*t**c = 0. Calculate t.
-1, 0, 1/2
Let l(f) be the first derivative of -4*f - 5/9*f**3 + 2/3*f**2 + 2/9*f**4 - 1/30*f**5 - 6. Let a(j) be the first derivative of l(j). What is t in a(t) = 0?
1, 2
Let g(u) be the second derivative of -u**4/54 + 11*u**3/27 + 4*u**2/3 + 2*u + 116. Factor g(l).
-2*(l - 12)*(l + 1)/9
Suppose -3*z - 21*n + 19*n = -12, 0 = 5*n - 15. Solve -2/5*m**z + 0 - 1/5*m = 0.
-1/2, 0
Suppose -3*l**5 + 29 + 9*l**5 + 1 + 20*l**2 + 65*l - l**5 - 30*l**3 - 10*l**4 = 0. What is l?
-1, 2, 3
Let m(w) = -2*w**2 - 2*w - 6. Let t be m(-4). Let k = 38 + t. Factor -q**2 - k + 3*q**4 + 12*q**3 + q**4 + 5*q**2 - 12*q.
4*(q - 1)*(q + 1)**2*(q + 2)
Let a = -13567/91 + 1940/13. Factor 0 - a*i**2 + 0*i.
-i**2/7
Suppose -4 = -y - 8. Let p be (-2)/(2/y*2). Suppose -s**2 + 2*s**2 + 3*s - p*s**2 + 0*s**2 = 0. Calculate s.
0, 3
Let t be (((-192)/(-10))/(-12))/((-2)/1). Factor 1/5*w**4 + t*w**3 + 1/5 + 6/5*w**2 + 4/5*w.
(w + 1)**4/5
Suppose z - 17 = -2*u + 14, 5*u - 5*z - 115 = 0. Let -44*r + 36*r - 62*r + 484 + 4*r**2 - u*r = 0. What is r?
11
Let s(j) be the first derivative of j**4/14 + 10*j**3/21 - 17*j**2/7 - 6*j + 478. Factor s(g).
2*(g - 3)*(g + 1)*(g + 7)/7
Let y(w) = -w**3 + 3*w**2 + 3*w + 3. Let i be y(4). Let b = 1 - i. Solve -3*r**2 + 4*r + 6*r**3 + 2*r**4 - 10*r**5 + 17*r**b - 10*r**4 - 6*r**4 = 0 for r.
-1, -2/5, 0, 1
Let k = 786 - 498. Let b be (k/495)/((-3)/(-90)*3). Factor 32/11 + 112/11*m**2 - b*m**3 - 96/11*m - 2/11*m**5 + 18/11*m**4.
-2*(m - 2)**4*(m - 1)/11
Suppose 4*m = -3*s - 2*s + 23, s + 3*m = 9. Solve -4*z**2 - 2*z**s - 2*z**2 + 5*z**3 + 0*z**2 = 0 for z.
0, 2
Factor 8/11 - 8/11*t**2 + 1/11*t**3 - 1/11*t.
(t - 8)*(t - 1)*(t + 1)/11
Let t(h) be the first derivative of 5*h**3 - 36*h**2 + 81*h - 298. Factor t(v).
3*(v - 3)*(5*v - 9)
Let w be (-8)/((-15120)/18903) - 10. Let m(b) be the third derivative of 0 + 0*b - 2*b**2 - w*b**5 + 1/1260*b**6 - 1/252*b**4 + 1/63*b**3. Factor m(a).
2*(a - 1)**2*(a + 1)/21
Let g(r) be the first derivative of -r**3/3 - 2*r**2 - 3*r - 553. Factor g(t).
-(t + 1)*(t + 3)
Let i(p) = 15*p**2 + 147*p - 138. Let j(r) = 6*r**2 + 59*r - 55. Let w(k) = 5*i(k) - 12*j(k). Factor w(t).
3*(t - 1)*(t + 10)
Solve -12/5 - 3/5*b + 3*b**2 = 0.
-4/5, 1
Factor i - 4028*i**2 + 4025*i**2 - i.
-3*i**2
Let s(n) be the third derivative of 16*n**2 + 0 - 1/390*n**6 - 1/2184*n**8 - 1/195*n**5 - 1/39*n**3 + 1/455*n**7 + 0*n + 1/52*n**4. Factor s(f).
-2*(f - 1)**4*(f + 1)/13
Let d(u) be the first derivative of -3*u**5/25 + 6*u**4/5 - 22*u**3/5 + 36*u**2/5 - 27*u/5 - 55. Let d(z) = 0. What is z?
1, 3
Let o be (609/42)/(-29)*4/(-6). Factor 2/9 - 4/3*a**2 - o*a - 7/9*a**3.
-(a + 1)**2*(7*a - 2)/9
Let d(x) be the second derivative of -x**4/33 + 89*x**3/33 + 45*x**2/11 - 2*x + 54. Determine p so that d(p) = 0.
-1/2, 45
Let -5*j**4 + 80*j**3 - 40*j**4 + 8*j - 4*j**4 - 52*j**2 + 13*j**4 = 0. What is j?
0, 2/9, 1
Suppose 2/5*g**3 - 20*g + 0 - 46/5*g**2 = 0. What is g?
-2, 0, 25
Let t(z) be the second derivative of -3/4*z**3 - 5/12*z**4 - 3/40*z**5 - 1/2*z**2 + 0 - z. Factor t(x).
-(x + 1)*(x + 2)*(3*x + 1)/2
Let y(s) be the first derivative of -8*s**5 - 25*s**4/2 + 175*s**3/3 - 50*s**2 + 15*s - 123. Let y(h) = 0. Calculate h.
-3, 1/4, 1/2, 1
What is f in -6/5*f**2 + 12/5 + 2/5*f**4 + 14/5*f - 6/5*f**3 = 0?
-1, 2, 3
Let p = 232 - 232. Factor -1/2*x + p*x**2 + 1/2*x**3 + 0.
x*(x - 1)*(x + 1)/2
Let r(v) be the second derivative of v**9/68040 - v**8/6048 + v**7/1620 - v**6/1080 - 5*v**4/3 + 19*v. Let y(c) be the third derivative of r(c). Factor y(u).
2*u*(u - 3)*(u - 1)**2/9
Let w(a) = -a**3 - 10*a**2 - 9*a + 7. Let q be w(-9). Factor -g**2 - g - 4*g**2 + q*g - g.
-5*g*(g - 1)
Let h(o) be the second derivative of 7*o**5/10 + 5*o**4 + 12*o**3 + 8*o**2 + 18*o. Solve h(b) = 0 for b.
-2, -2/7
Let v(y) = y + 16. Let c be v(-19). Let b(o) = -4*o**3 - 6*o + 4. Let h(w) = w**3 + w**2 + w - 1. Let f(g) = c*h(g) - b(g). Solve f(s) = 0.
1
Let k(y) be the third derivative of -y**7/168 + y**6/36 - y**5/24 - 10*y**3/3 - 16*y**2. Let l(h) be the first derivative of k(h). What is n in l(n) = 0?
0, 1
Let g = -299 + 159. Let v = 140 + g. Factor 2/5*d**4 - 6/5*d**3 + v + 4/5*d**2 + 0*d.
2*d**2*(d - 2)*(d - 1)/5
Find d, given that 0*d**4 + 0 + 88/9*d**3 - 4/9*d**5 + 32/3*d**2 - 20*d = 0.
-3, 0, 1, 5
Factor 0 + 0*o + 45/4*o**2 - 5/4*o**3.
-5*o**2*(o - 9)/4
Factor 14/9*t - 2/3 - 8/9*t**2.
-2*(t - 1)*(4*t - 3)/9
Let a be (2 + -6)*(-3)/4. Let p = a + -1. Find y, given that 11 - 13 - 2*y**4 + 4*y**2 + 4*y**p - 4*y**2 = 0.
-1, 1
Let d be (-2 - -2)/((-39)/(-13)). Suppose 0 = 6*f + 2*f - d*f. Find a such that f - 2/7*a**4 + 0*a - 6/7*a**3 - 4/7*a**2 = 0.
-2, -1, 0
Let i(j) be the first derivative of -1715/2*j + 15 - 5/8*j**4 - 735/4*j**2 - 35/2*j**3. Factor i(l).
-5*(l + 7)**3/2
Let w(p) be the first derivative of p**7/1890 - p**6/162 + 2*p**5/135 - 11*p**3/3 - 11. Let f(i) be the third derivative of w(i). Factor f(v).
4*v*(v - 4)*(v - 1)/9
Let u(o) = -o**2 - 5*o + 338. Let j be u(16). Let f(w) be the first derivative of 2/5*w + 4 - 3/10*w**j + 1/15*w**3. Factor f(s).
(s - 2)*(s - 1)/5
Let y = -18 + 17. Let v be (3 - 0)/(3*y/(-3)). Solve 3*h**2 + 0 + 3/2*h + 3/2*h**v = 0 for h.
-1, 0
Factor -110*f + 1815 + 5/3*f**2.
5*(f - 33)**2/3
Let n(z) = 3*z**4 + 5*z**3 - 9*z**2 + 9*z - 5. Let m(p) = -2*p**3 + p**2 - p + 1. Let y(c) = -5*m(c) - n(c). Let y(u) = 0. What is u?
-1, 0, 2/3, 2
Suppose -5*u + 4*t + 19 = 0, 0 = -19*u + 24*u - 19*t - 34. Determine l, given that -1/8*l**4 + 0*l + 0 - 1/4*l**u - 1/8*l**2 = 0.
-1, 0
Let c(q) be the second derivative of q**8/11200 + q**7/2100 + q**6/1200 + 25*q**4/12 - 53*q. Let l(b) be the third derivative of c(b). Factor l(z).
3*z*(z + 1)**2/5
Let b = 262 - 167. Let d = 96 - b. Factor -3/2*v - 1/2*v**2 - d.
-(v + 1)*(v + 2)/2
Let t(d) be the third derivative of 20*d**2 + 4/3*d**3 + 0 + d**4 - 1/2*d**5 + 0*d + 1/15*d**6. Suppose t(g) = 0. What is g?
-1/4, 2
Find k such that -52*k**2 + 0 - 154/3*k - 2/3*k**3 = 0.
-77, -1, 0
Suppose 8*d = -12*d - 16*d + 72. Factor 10/11*z + 12/11 + 2/11*z**d.
2*(z + 2)*(z + 3)/11
Let l be 6/4 - (7/(-2))/7. Let 13*p**2 - 6*p**3 - 1 - 3 - 15*p**4 + p**l + 6*p + 5*p**4 = 0. What is p?
-1, 2/5, 1
Let u(b) be the second derivative of -b**6/360 + 7*b**5/480 + b**4/48 - 5*b**3 + 14*b. Let l(p) be the second derivative of u(p). Factor l(t).
-(t - 2)*(4*t + 1)/4
Let -9*o - 15/7*o**2 - 1/7*o**3 - 7 = 0. What is o?
-7, -1
Factor 0 + 1/3*p**2 - 53/3*p.
p*(p - 53)/3
Solve -10*z**2 + 40*z**4 + 100*z**3 + 229 + 138 - 111 + 4*z**5 - 320*z - 70*z**2 = 0 for z.
-4, 1
Let 2/3*o**3 + 0 + 2/3*o**2 + 0*o = 0. What is o?
-1, 0
Let 92 - 3*h**2 - 56 - 36 - 162*h = 0. What is h?
-54, 0
Let y be (10 - 11)/(0 + 69). Let l = y - -74/345. Factor l*o**2 - 2/5*o + 1/5.
