 + 1)/5
Let q(f) be the first derivative of -36*f**3 + 90*f**2 - 75*f + 531. Let q(d) = 0. What is d?
5/6
Let v(s) be the second derivative of -s**5/120 + 51*s**4/8 - 17933*s**3/12 + 257645*s**2/12 - 3*s + 2294. Solve v(a) = 0.
5, 227
Determine g, given that 54*g**2 - 109*g**2 + 563*g + 52*g**2 - 1179 - 1745*g = 0.
-393, -1
Let h(t) be the third derivative of 0*t**6 + 236*t**2 + 0*t**3 + 0*t + 1/1155*t**7 + 0 + 1/22*t**4 - 7/330*t**5. Let h(d) = 0. What is d?
-3, 0, 1, 2
Let n(m) = 23*m + 160. Let i be n(-5). Let q be 32/(-240) - -3*2/i. Find u such that 2/11 - 4/11*u**3 + q*u**2 + 4/11*u - 2/11*u**4 = 0.
-1, 1
Let o(v) be the first derivative of -v**6/540 - 2*v**5/45 - 5*v**4/12 - 2*v**3/3 - 43*v**2/2 - 172. Let u(y) be the third derivative of o(y). Factor u(r).
-2*(r + 3)*(r + 5)/3
Let r = 4/8661 + 77909/86610. Determine i so that -3/10*i**3 + 3/10*i**5 - 2/5*i + 0 + r*i**2 - 1/2*i**4 = 0.
-4/3, 0, 1
Suppose w = 2*s - 4*w, 17 - 17 = 2*s + 2*w. Factor -1/9*t**5 - 2/3*t**2 + 0*t + s - 13/9*t**3 - 8/9*t**4.
-t**2*(t + 1)**2*(t + 6)/9
Let m(k) = 2*k - 7*k + 21 - 10*k + 5*k**2 + 10 - 7*k. Let c(x) = -7*x**2 + 22*x - 27. Let p(j) = 7*c(j) + 6*m(j). Factor p(f).
-(f - 1)*(19*f - 3)
Suppose 141*u - 69*u + 284 = 214*u. Find w such that -1/2*w**u - 4 + 3*w = 0.
2, 4
Let x be (9 - 20) + (-7 - -28) - (-50)/(-5). Factor -2/9*m**2 + x - 14/9*m.
-2*m*(m + 7)/9
Factor 59/2*g**2 - 1/2 - 29*g.
(g - 1)*(59*g + 1)/2
Let t = -1 - -5. Suppose t*x - f + 5 = 13, -3*x - 4*f + 6 = 0. Suppose 0*m - 4*m + m - x*m**2 + 7*m = 0. What is m?
0, 2
Suppose 3*q + o = 2*q - 2, -4*q + 3*o + 6 = 0. Suppose b + q = 6. Factor 3*k**5 - 5*k + 3 + b*k**2 - 9*k**4 + 6*k**3 - 4*k + 0*k**2.
3*(k - 1)**4*(k + 1)
Let g(v) be the second derivative of v**7/504 - v**6/24 + 3*v**5/8 - 10*v**4/3 + 12*v. Let q(c) be the third derivative of g(c). Find f, given that q(f) = 0.
3
Let f be (7/8)/(4403/62900). Solve 5/6*g**2 + f - 20/3*g = 0.
3, 5
Suppose -4*f = 2*o, -26 = -25*o + 20*o + 3*f. Suppose 0*m = o*m - m. Factor -3/4*a**2 + 3/4*a**4 + 0*a + 0*a**3 + m.
3*a**2*(a - 1)*(a + 1)/4
Suppose -32*m + 43 + 277 = 0. Solve -104*v + 59*v + m*v**3 - 60*v**2 + 0*v**3 - 5*v**5 + 20*v**4 = 0 for v.
-1, 0, 3
Let g = 131699 + -131696. Factor -6/7 + v - 1/7*v**g + 0*v**2.
-(v - 2)*(v - 1)*(v + 3)/7
Suppose -14*u + 2 = -26. Suppose 0 = -w + 5*w - 148. Find r, given that -60*r**3 + 42 + w - 15*r - 5*r**5 + 30*r**4 + 50*r**u - 79 = 0.
0, 1, 3
Suppose -42*m - 18 = -48*m. Determine v so that 86*v**4 + 4*v**m + 92*v**4 - 176*v**4 = 0.
-2, 0
Let d(j) be the second derivative of 16/15*j**6 - 8*j + 0*j**3 + 0*j**2 + 0 + 4/5*j**5 + 1/6*j**4. Factor d(i).
2*i**2*(4*i + 1)**2
Let l(i) = i**3 - 9*i**2 + 12*i - 30. Let m be l(8). Factor 17 - 6*o**2 + 8*o + 3 + 6*o + 0*o**m.
-2*(o + 1)*(3*o - 10)
Let f(u) be the second derivative of u**9/1512 + u**8/840 - 23*u**3/3 + u**2/2 + u - 42. Let k(x) be the second derivative of f(x). Let k(z) = 0. Calculate z.
-1, 0
Let z be (-1156)/(-306) - ((-388)/(-36) - 11). Let 16/5 - 2/5*x**3 - 34/5*x + z*x**2 = 0. What is x?
1, 8
Let q(f) = 6*f**2 + 104*f + 326. Let v(t) = 32*t**2 + 534*t + 1628. Let y(i) = -11*q(i) + 2*v(i). Let y(j) = 0. Calculate j.
-33, -5
Suppose -776*t + 752*t = -72. Suppose -4*x + 733 = 5*g, 2*g + 2*x = 4*g - 304. Let 111*v**4 + 100*v + 85*v**2 - 156*v**4 + 29*v**t - 60 - g*v**3 = 0. What is v?
-3, -1, 2/3
Let r be (-3920)/196 - (10 - 32). Find s, given that 12 - 1/3*s**r - 16/3*s = 0.
-18, 2
Let a(n) = 5*n**2 + 61*n - 22. Let q be a(-14). Suppose q*y = 132*y. Suppose -4/11*p**3 + 4/11*p + y - 2/11*p**4 + 2/11*p**2 = 0. Calculate p.
-2, -1, 0, 1
Let o be 120466/(-279) + (22/(-18) - -1). Let n = o + 3467/8. Factor 11/8*p - 1/4 - n*p**3 + 1/4*p**2.
-(p - 1)*(p + 1)*(11*p - 2)/8
Let n be (-6 + 5 + -7)*5/(-4). Let t(f) = -f**2 + 100. Let j be t(n). Factor j - 2*z - 1/2*z**2.
-z*(z + 4)/2
Let m = -944 + 955. Let j be 0 - (132/(-15))/m. What is z in 12/5*z**3 - 5*z**4 + 9/5*z**5 + 0 + 0*z + j*z**2 = 0?
-2/9, 0, 1, 2
Let w = -217/12 + 67/4. Let h = w + 17/6. Suppose -h - 1/2*d**2 + 2*d = 0. What is d?
1, 3
Suppose -12684 = -118*b + 111*b. Determine l so that l**2 + b + 16*l - 1812 = 0.
-16, 0
Let t = 143725 + -143725. Factor 4/9*y**2 + 4/9*y**3 + 0 + t*y.
4*y**2*(y + 1)/9
Let -57/2*t**2 - 5819/2 + 1035/2*t + 1/2*t**3 = 0. What is t?
11, 23
Let m(b) be the second derivative of b**5/24 - b**4/24 - 7*b**3/12 - 20*b**2 - 223*b. Let z(k) be the first derivative of m(k). Factor z(f).
(f + 1)*(5*f - 7)/2
Let h = 4421 + -39781/9. Let i(u) be the first derivative of -16 + 32/9*u + h*u**2 + 2/27*u**3. Factor i(a).
2*(a + 4)**2/9
Let z(m) be the second derivative of -m**7/1680 + m**6/192 - m**5/60 + m**4/48 - 46*m**2 - 83*m. Let x(q) be the first derivative of z(q). Solve x(b) = 0.
0, 1, 2
Suppose 0 = -2*f + 6, -f - 159 = -5*m - 152. Suppose 54/5*u + 3/5*u**m + 243/5 = 0. Calculate u.
-9
Let j be 2/14*30/(-30). Let f = j + 11/28. Factor 0*r**2 + 1/4*r**3 - 1/2*r**4 + 0*r + f*r**5 + 0.
r**3*(r - 1)**2/4
Find z, given that -31/4*z**2 + 0 - 4*z**3 + 9/4*z**4 - 3/2*z = 0.
-1, -2/9, 0, 3
Let o(v) = -26*v**3 + 150*v**2 - 512*v + 358. Let j(l) = -8*l**3 + 50*l**2 - 171*l + 120. Let p(s) = 10*j(s) - 3*o(s). Factor p(y).
-2*(y - 21)*(y - 3)*(y - 1)
Factor 0 - 1/4*r**2 + 65/2*r.
-r*(r - 130)/4
Let h(g) = -g**2 - 16*g - 37. Let n be h(-13). What is y in y**2 + 16*y**3 - 4 - 8*y**2 - 37*y**n + 26*y = 0?
1/4, 1/2, 2
Let x be (-495)/(-171) - (-12 + (-904)/(-76)). Factor 16/5 - 24/5*n - 1/5*n**x + 9/5*n**2.
-(n - 4)**2*(n - 1)/5
Let v be 23868/4032 + 1/7 + -6. Let y(t) be the third derivative of -3/8*t**3 + 1/160*t**6 + 0*t + 0 - v*t**5 + 7/32*t**4 - 13*t**2. Factor y(x).
3*(x - 3)*(x - 1)**2/4
Let -3/5*w**4 + 1224/5*w**2 + 1236/5*w + 297/5*w**3 + 0 = 0. What is w?
-2, 0, 103
Let z = 682 + -676. Factor 60*i + 53*i**2 - z*i**3 + 31*i**3 - 7*i**3 - 13*i**3 + 12*i**2.
5*i*(i + 1)*(i + 12)
Let p(w) be the first derivative of 12/7*w - 5/7*w**2 - 2/21*w**3 - 38. Factor p(o).
-2*(o - 1)*(o + 6)/7
Factor -24738 + 309255 + 264*z**2 - 261*z**2 + 176475 - 2352*z.
3*(z - 392)**2
Let q = -284 + 287. Find z such that -5162 + 4*z + q*z**2 - z + 5144 = 0.
-3, 2
Let t(z) be the third derivative of z**7/70 - 29*z**6/40 + 13*z**5/10 + 7*z**4 + 7847*z**2. Factor t(l).
3*l*(l - 28)*(l - 2)*(l + 1)
Let y be ((-128)/(-66))/(5/(-15)) - 29970/(-4995). Factor 0*q**2 + 0*q**4 + y*q**5 - 4/11*q**3 + 0 + 2/11*q.
2*q*(q - 1)**2*(q + 1)**2/11
Suppose 0 + 2/5*o**4 - 36*o + 34/5*o**2 + 24/5*o**3 = 0. What is o?
-9, -5, 0, 2
Let g be ((-6)/(-5))/((-12)/30). Let p be 12/6*(-1 - g). Factor -4*v**2 - 16 - p*v - 8*v - v - 3*v.
-4*(v + 2)**2
Suppose -280*j - 61032 = -284*j. Factor -15258 + j + 33*m + m**2.
m*(m + 33)
Let t(h) be the first derivative of h**6/150 - 7*h**5/75 + h**4/5 + h**2 + 2*h + 14. Let a(m) be the second derivative of t(m). Let a(z) = 0. Calculate z.
0, 1, 6
Let j(s) = 7*s + 2. Let c(f) = 38*f + 11. Let w(m) = -2*c(m) + 11*j(m). Let x(v) = 5*v**4 + 10*v**3 - 5*v**2 - 14*v. Let i(d) = -4*w(d) - x(d). Factor i(h).
-5*h*(h - 1)*(h + 1)*(h + 2)
Suppose -8 + 6 = -t. Factor 30*b + 48 - 520*b**t + 262*b**2 + 261*b**2.
3*(b + 2)*(b + 8)
Let i be 593/2372 - (2/6 + (-98)/24). Let u(c) be the second derivative of 1/18*c**3 + 0 + 1/12*c**2 + 19*c - 1/24*c**i. Factor u(h).
-(h - 1)*(3*h + 1)/6
Let y(c) be the second derivative of 8/3*c**3 + 0 + 321*c + 0*c**2 + 1/3*c**4 - 2/15*c**6 - 4/5*c**5. Determine d so that y(d) = 0.
-4, -1, 0, 1
Let r(j) = -98*j**3 + 46*j**3 + 24 + 53*j**3 + 15*j + 13*j**2 + 6*j. Let w be r(-11). Factor w*q**2 - 59*q**2 + 4*q**3 - 12*q + 32*q**2.
4*q*(q - 1)*(q + 3)
Suppose -23*r - 370 = -24*r. Factor -4*v**4 + 370*v**3 - r*v**3 + 4*v**2.
-4*v**2*(v - 1)*(v + 1)
Let y = 14 + -40. Let t(x) = x**2 - 4*x - 6. Let q be t(4). Let u(c) = -4*c**2 + 5*c + 12. Let n(z) = z**2 - z - 3. Let k(w) = q*u(w) + y*n(w). Factor k(o).
-2*(o - 1)*(o + 3)
Let y be ((-74424)/32 - 6)*12/(-7182). Let x = 36/133 + y. Solve -5/6*a**2 + 5 - x*a = 0.
-6, 1
Let f(p) = 230*p**2 - 49570*p + 102787912. Let v(t) = -82*t**2 + 16521*t - 34262637. Let i(q) = 5*f(q) + 14*v(q). Let i(j) = 0. Calculate j.
4139
Let w = -76303 + 76324. Factor 1/3*c**3 - 3087 - w*c**2 + 441*c.
(c - 21)**3/3
Suppose 0 = 2*k - 38, 1759 = -5*y + 2*k - 5*k + 1831. S