*2/4 + 37*c - 1436. Let s(f) = 0. Calculate f.
-74, -1, 1
Let z = -35 + 24. Let s(r) = r**2 + 13*r + 22. Let v be s(z). Factor 5*i**2 + 0*i**2 - 5*i**4 - 5*i**5 + v*i**2 + 5*i**3.
-5*i**2*(i - 1)*(i + 1)**2
Let p(v) = 4*v**3 + 425*v**2 + 45434*v + 44941. Let j(q) = 3*q**3 + 425*q**2 + 45412*q + 44942. Let w(g) = 3*j(g) - 2*p(g). Let w(x) = 0. What is x?
-212, -1
Suppose 12*c = -4 + 40. Suppose 23 = -c*q + 23. Let 2*m - 2/3*m**2 + q = 0. What is m?
0, 3
Let l(p) be the second derivative of 1/3*p**4 + 0 - 155*p - 4/9*p**3 - 1/15*p**5 + 0*p**2. Factor l(t).
-4*t*(t - 2)*(t - 1)/3
Let k(g) be the third derivative of -g**6/840 + 11*g**5/140 - 29*g**4/42 + 5*g**2 + 149*g. Factor k(z).
-z*(z - 29)*(z - 4)/7
Let c be (32 - (-1075)/(-50))/7. Determine f so that -c*f**3 - 1/2 - 7/2*f**2 - 5/2*f = 0.
-1, -1/3
Let w(d) be the second derivative of -d**7/84 + d**6/60 + 3*d**5/20 - 7*d**4/12 + 11*d**3/12 - 3*d**2/4 + 10*d + 53. Let w(g) = 0. What is g?
-3, 1
Let v(x) be the first derivative of -x**4/10 - 6*x**3/5 + 736*x**2/5 + 2549. Factor v(j).
-2*j*(j - 23)*(j + 32)/5
Let z be (-13)/((-78)/(-12)) - -4. Solve 12 + b**z - 18 + 2 = 0.
-2, 2
Let z(w) be the second derivative of -w**7/840 + 29*w**6/360 + 29*w**3/6 + w**2/2 + 64*w. Let l(v) be the second derivative of z(v). Factor l(x).
-x**2*(x - 29)
Let l = -1999/40 - -6077/120. Let 106/3*t**2 + l*t**4 + 142/3*t + 26/3*t**3 + 20 = 0. What is t?
-6, -5, -1
Let b(i) be the second derivative of -i**5/20 - i**4/12 + 5*i**3/6 + 5*i**2/2 - 28*i. Let t be b(-3). What is g in 7 - 7 + t + 10*g**2 + 18*g = 0?
-1, -4/5
Let i(m) be the second derivative of -81/2*m**2 + 18*m**3 - 9/2*m**4 + 3/5*m**5 + 38*m - 1/30*m**6 + 0. Factor i(x).
-(x - 3)**4
Let p(r) be the third derivative of -1/3*r**4 + 11/240*r**5 + 0*r - 1/480*r**6 + 0 - 107*r**2 + 7/6*r**3. Factor p(w).
-(w - 7)*(w - 2)**2/4
Let x(u) be the second derivative of -u**4/12 - 196*u**3 - 172872*u**2 - 2728*u. Suppose x(m) = 0. What is m?
-588
Suppose -630 = -4*k - 598. Suppose -2*a - 72*j + 76*j = -k, 0 = -4*a + 3*j + 11. Determine c, given that -12 - 1/3*c**a - 4*c = 0.
-6
Let u(j) be the third derivative of j**8/420 - 38*j**7/525 + 109*j**6/150 - 253*j**5/75 + 25*j**4/3 - 176*j**3/15 + 1525*j**2. Find m such that u(m) = 0.
1, 2, 4, 11
Let v be 3*(-20)/42 + ((-5250)/(-245) - 20). Factor v - 2*n**2 - 2/9*n**4 + 0*n + 20/9*n**3.
-2*n**2*(n - 9)*(n - 1)/9
Determine s so that 8/11*s**3 + 0 + 2/11*s - 10/11*s**5 - 12/11*s**4 + 12/11*s**2 = 0.
-1, -1/5, 0, 1
Suppose b = 10, -2*u + 2*b - 652 + 638 = 0. Determine t so that -6/11*t**4 - 8/11*t + 10/11*t**u + 8/11*t**2 + 0 = 0.
-1, 0, 2/3, 2
Find u such that -366*u - 178/5*u**3 + 6/5*u**4 + 828/5 + 998/5*u**2 = 0.
2/3, 3, 23
Let z(k) be the first derivative of k**6/42 - 4*k**5/35 - 5*k**4/28 + 20*k**3/21 + 2*k**2/7 - 16*k/7 - 10744. Solve z(f) = 0.
-2, -1, 1, 2, 4
Suppose 93 - 2 = 23*c + k, -1 = -c - 3*k. Determine o, given that 2/13*o**c + 0 - 6/13*o**3 - 2/13*o**2 + 4/13*o + 2/13*o**5 = 0.
-2, -1, 0, 1
Let v(k) = -k**2 - 12*k + 165. Let y be v(8). Factor -y*h**3 - 250*h**2 - 156*h + 194*h - 283*h.
-5*h*(h + 1)*(h + 49)
Solve 332/3*j**3 + 1304/3*j + 8 - 1322/3*j**2 = 0.
-3/166, 2
Let h be 15/22 + 1/(-2). Suppose 6*q + 40 = -4*q + 3*o, -q + 5*o - 98 = 0. Factor -q*b + h*b**2 + 20/11.
2*(b - 10)*(b - 1)/11
Factor 1/8*s**2 + 54*s + 5832.
(s + 216)**2/8
Suppose v - 15 = -11. Let g be 10/(-16)*v + 55/10. Determine c, given that 1/2*c - 2/3*c**2 - 1/6*c**g + 3 = 0.
-3, 2
Let t(k) = -55*k**2 - 2310*k + 9730. Let x(i) = -5*i**2 - 210*i + 884. Let s(v) = -6*t(v) + 65*x(v). Factor s(f).
5*(f - 4)*(f + 46)
Let a be 50/15*(-3)/(-2). Let l be 2*(45/6)/a. Factor -9/8*n**l + 3/4*n**2 + 0 + 0*n + 3/8*n**4.
3*n**2*(n - 2)*(n - 1)/8
Factor -1/7*h**2 + 4936/7*h - 6091024/7.
-(h - 2468)**2/7
Factor -442*n + 418 + 98 - 70*n - 64*n**2 + 88*n**2 - 28*n**2.
-4*(n - 1)*(n + 129)
Suppose 0 = -3*r - b - 495, 4*b + 0*b = 3*r + 480. Let j = r - -166. Factor -5/3*s**5 + 10/3*s**j + 0*s - 25/3*s**3 + 20/3*s**4 + 0.
-5*s**2*(s - 2)*(s - 1)**2/3
Let t be (-231)/77 - (-54)/2. Let k be 22/t - 9/72*2. Solve 7/3*d**2 - 13/3*d - k = 0.
-1/7, 2
Let q(r) be the first derivative of r**6/180 + r**5/6 + 3*r**4/4 + 67*r**3/3 + 141. Let d(b) be the third derivative of q(b). Determine u so that d(u) = 0.
-9, -1
Suppose c - 15 - 15 = 0. Suppose -14 = 4*i - c. Let l**2 + 1/2*l**5 - 1/2*l - l**i + 0 + 0*l**3 = 0. Calculate l.
-1, 0, 1
Let o = -2621 + 1279. Let g = -9392/7 - o. Solve -10/7*c + g*c**2 + 8/7 = 0 for c.
1, 4
Suppose -72/7 + 75/7*d**2 - 6/7*d**3 - 3/7*d**4 + 6/7*d = 0. Calculate d.
-6, -1, 1, 4
Suppose -2*t - 4 = -4*o, 0 - 2 = 4*o - 5*t. Find u, given that o*u**3 - 10*u - 21*u + 6*u + 5*u**2 + 3*u**3 + 15 = 0.
-3, 1
Suppose 0 = -3*t - 5*s + 32, -105*t - 3*s + 4 = -107*t. Factor -3/2 + i**2 + 2*i - 2*i**3 + 1/2*i**t.
(i - 3)*(i - 1)**2*(i + 1)/2
Let w be (-11)/33 + 833/147. Factor -2/3*s**3 - 6*s**2 + 0 - w*s.
-2*s*(s + 1)*(s + 8)/3
Let f = 48 - 42. Factor 5*y**2 + 48 - 30 - 4*y - f*y**2 + y.
-(y - 3)*(y + 6)
Let f(u) be the second derivative of u**5/110 - 23*u**4/66 - u**3/33 + 23*u**2/11 + 164*u. Factor f(r).
2*(r - 23)*(r - 1)*(r + 1)/11
Let l(i) = -i**4 + 2*i**2 - i. Let y(x) = 11765 - 2*x**5 + 12*x**4 - 11765 - 10*x**3 + 4*x - 4*x**2. Let v(f) = -4*l(f) - y(f). What is z in v(z) = 0?
0, 1, 2
Let n(j) be the first derivative of -j**4/50 - 206*j**3/75 - 587*j**2/25 - 194*j/5 - 4430. Solve n(x) = 0 for x.
-97, -5, -1
Let k(c) be the second derivative of -5*c**7/14 + 531*c**6/5 - 169797*c**5/20 + 10705*c**4/2 + 28302*c**3 - 33708*c**2 - 6173*c. Determine b so that k(b) = 0.
-1, 2/5, 1, 106
Let o be (1 + 1)*4/(-64)*(1 + -4). Factor 9/4 - o*a - 1/8*a**2.
-(a - 3)*(a + 6)/8
Suppose 9*r + 3*r - 4*r = 0. What is z in 1 - 16*z - 9 - 2*z**3 + r*z + 8*z**2 - 18*z**2 = 0?
-2, -1
Factor -110352*i + 1815*i**2 - 86640*i + 54308*i - 275427 - 56733*i - 74192*i - 3*i**3.
-3*(i - 303)**2*(i + 1)
Factor 0 + 1/6*x + 0*x**2 - 1/6*x**3.
-x*(x - 1)*(x + 1)/6
Suppose 24*m + 152 = 200. Let x(q) be the first derivative of 0*q**3 + 0*q + 7 - 5/4*q**4 + 5/2*q**m. Factor x(s).
-5*s*(s - 1)*(s + 1)
Let k(n) be the first derivative of -9*n**4/32 + 55*n**3/12 - 3*n**2/2 + 2669. Determine j, given that k(j) = 0.
0, 2/9, 12
Let z(a) = 8*a + 241. Let d be z(-29). Let f be (d - (-80)/(-9))*(5 - -1). Factor 4/9*b**3 + 2/9*b**5 - 2/3*b - f*b**4 + 4/9*b**2 + 2/9.
2*(b - 1)**4*(b + 1)/9
Factor 0*l + 0 + 1/4*l**3 - 298*l**2.
l**2*(l - 1192)/4
Let i(v) be the second derivative of 0*v**2 + 1/30*v**6 + 0 - 1/6*v**3 - 4/15*v**5 - 16*v + 5/6*v**4. Let c(r) be the second derivative of i(r). Factor c(j).
4*(j - 1)*(3*j - 5)
Suppose 48*i - 190 = 43*i. Suppose 14 = -3*w + i. Factor -2*y - 9*y**3 + w*y + 3*y**2 + 6*y**3.
-3*y*(y - 2)*(y + 1)
Factor -357*t**2 + 369715*t + 237785*t - 2343*t**2 + 2*t**3 + 2*t**3 + 19168370 - 64730870.
4*(t - 225)**3
Suppose -867/5*c - 21/5*c**2 - 246/5 = 0. What is c?
-41, -2/7
Let v(y) be the second derivative of -y**6/75 - 43*y**5/50 - 131*y**4/10 + 299*y**3/3 - 1058*y**2/5 + 2*y + 27. Find b such that v(b) = 0.
-23, 1, 2
Let p(w) be the third derivative of w**8/840 + w**7/140 + w**6/90 + 15*w**3/2 - 45*w**2. Let k(m) be the first derivative of p(m). Factor k(v).
2*v**2*(v + 1)*(v + 2)
Determine y, given that -2*y**2 + 0*y**2 + 18*y**2 - 322 - 60*y - 13*y**2 - 5*y**2 = 0.
-23, -7
Let m(d) be the second derivative of -23*d + 4*d**2 - 24/5*d**5 + 43/3*d**4 - 1 - 14*d**3. Factor m(w).
-4*(w - 1)*(3*w - 2)*(8*w - 1)
Let l be (-6)/(-15) + (-8 - (-190)/25). Let p(j) be the second derivative of 1/10*j**5 + 0 + 0*j**3 + l*j**2 + 10*j + 0*j**4 + 1/15*j**6. Factor p(g).
2*g**3*(g + 1)
Let f(x) be the first derivative of 0*x**3 + 0*x - 115 + 3/5*x**5 - 3*x**4 + 0*x**2. Determine s, given that f(s) = 0.
0, 4
Suppose -z + 4*z = -2*k - 12, 3*z + 12 = 5*k. Suppose 0*y - y + 4 = k. Factor 256 + 3*q**4 - 8*q**3 + q**y + 8*q - 4*q**2 - 256.
4*q*(q - 2)*(q - 1)*(q + 1)
Determine o, given that 449*o**3 + 397*o**3 + 540*o**2 - 2210*o**4 + 4401*o**4 - 2196*o**4 - 311*o**3 = 0.
-1, 0, 108
Let i(b) = 3*b - 49. Let r be i(32). Let h be 37/5 - 329/r. Determine z so that -h*z**2 + 2/5 + 2/5*z**3 - 2/5*z = 0.
-1, 1
Factor 1/6*m**2 + 268/3 - 23*m.
(m - 134)*(m - 4)/6
Solve 94/13*p**3 - 2/13*p**4 + 1