 1/4*x**3 - 49/4*x**p = 0 for x.
-49, 0
Let f(n) = -6*n**3 - 10*n**2 + 4. Let y be (7/(-5) + 2)/(1/15). Suppose -4*j = -y - 7. Let p(k) = -k**2 + 1. Let c(h) = j*p(h) + f(h). Factor c(v).
-2*(v + 1)*(v + 2)*(3*v - 2)
Determine z, given that -6750/7 + 18/7*z**4 + 66/7*z**3 - 525*z + 1/7*z**5 - 460/7*z**2 = 0.
-9, -5, 6
Let i = 29450 + -29446. Let d(u) be the second derivative of 5/12*u**i + 0*u**2 + 0*u**3 + 19*u + 0. Factor d(l).
5*l**2
Let k be (20/(-75))/((6/42)/(260/(-182))). Factor 1/6*g**4 - k - 13/3*g + 4/3*g**3 - 1/2*g**2.
(g - 2)*(g + 1)**2*(g + 8)/6
Let y(u) = u**2 - 23*u + 163. Let n be y(15). Suppose -n*s + 36*s = -21. Let -1/8 + 1/2*w + 1/2*w**s - 3/4*w**2 - 1/8*w**4 = 0. Calculate w.
1
Let j be 3/(-2) - 2737/(-598). Let y = j - 41/26. Let 0 - 3/2*f**2 + y*f**5 - 3/2*f**3 + 3/2*f**4 + 0*f = 0. What is f?
-1, 0, 1
Let r(c) be the third derivative of -10/3*c**3 + 1/4*c**5 - 54 + 1/12*c**6 + 0*c - 5/6*c**4 + c**2 - 1/42*c**7. Factor r(h).
-5*(h - 2)**2*(h + 1)**2
Let y(j) = -104*j + 228. Let n be y(-5). Let c = n - 1489/2. Determine d so that 71/6*d**3 + 4/3*d + 25/3*d**2 + 0 - c*d**4 = 0.
-1/3, -2/7, 0, 4
Let g(o) = -5*o**3 + 30*o**2 - 387*o + 362. Let r(f) = 9*f**3 - 59*f**2 + 772*f - 722. Let q(x) = 11*g(x) + 6*r(x). Factor q(k).
-(k - 10)*(k - 1)*(k + 35)
Let c(a) be the second derivative of a**5/90 - 91*a**4/27 + 361*a**3/27 - 20*a**2 - 542*a. Factor c(i).
2*(i - 180)*(i - 1)**2/9
Factor -309*c - 10*c**2 - 67*c - 48*c + 8*c**2 - 22472.
-2*(c + 106)**2
Suppose 4*x - 2 - 78 = -2*c, 2*x + 4*c = 34. Suppose x*k = 59*k. Solve k - 1/2*d - d**4 - 2*d**3 - 1/6*d**5 - 5/3*d**2 = 0.
-3, -1, 0
Factor -207*t - 398*t + 8*t**2 - 2196 + 5730 - 3*t**2 + 2516.
5*(t - 110)*(t - 11)
Suppose 46 - 96 = 5*b, 8 = -3*h - 2*b. Factor 0 + 6/7*t**3 + 0*t - 10/7*t**h + 4/7*t**2.
-2*t**2*(t - 1)*(5*t + 2)/7
Let w(d) be the first derivative of -3/28*d**4 - 47 + 24/7*d**2 + 1/7*d**3 - 48/7*d. Let w(m) = 0. What is m?
-4, 1, 4
Let z = -2 - -1. Let j be ((7 - -2)*(-8 + 7))/z. Suppose -2*a**3 + 32*a + 6*a**3 - 7 - 24*a**2 - j + 4*a**2 = 0. Calculate a.
1, 2
Suppose 634*q - 176*q = -1141*q + 274*q. Determine j so that 4/3*j**4 + 0*j - 2*j**5 + 0 + q*j**2 + 0*j**3 = 0.
0, 2/3
Let c(d) be the third derivative of d**5/90 - 13*d**4/12 + 22*d**3 - 1078*d**2. Factor c(f).
2*(f - 33)*(f - 6)/3
Let u(p) be the first derivative of -1/9*p**6 - 1/3*p**2 + 11 + 1/3*p**4 - 2*p**5 + 20/3*p**3 - 10*p. Determine a so that u(a) = 0.
-15, -1, 1
Let j(t) be the first derivative of 1161*t**2 - 51 - 1143*t**2 - 19 - t**3. Factor j(r).
-3*r*(r - 12)
Factor 477405 + 265*w + 1332*w + 1869*w - 376*w + 5*w**2.
5*(w + 309)**2
Factor -1/4*g**3 - 99/4*g + 15/2*g**2 - 65/2.
-(g - 26)*(g - 5)*(g + 1)/4
Let x = 92774 - 1020512/11. What is o in -x*o**2 + 2/11*o + 4/11 = 0?
-1, 2
Let l be 2/(-10) + (-102340)/425. Let m = l + 733/3. Factor -5/3*x**3 + 5/3*x + m - 10/3*x**2.
-5*(x - 1)*(x + 1)*(x + 2)/3
Let h = 247254 - 247250. Let -2/11*o**4 - h*o**2 + 16/11*o**3 - 18/11 + 48/11*o = 0. Calculate o.
1, 3
Suppose -15*y + 17*y = 54. Solve -20*u**4 + 14*u**2 + 4*u**2 - 11*u**4 + y*u**4 + 24*u + 2*u**2 - 8*u**3 = 0.
-3, -1, 0, 2
Let t(v) = -v**3 + 2*v**2 + 60*v - 115. Let i be t(2). Let c(m) be the first derivative of 1/4*m**3 - 1/8*m**2 - 1/2*m + 8 - 1/20*m**i + 1/16*m**4. Factor c(a).
-(a - 2)*(a - 1)*(a + 1)**2/4
Let q be (468/(-60) - -8)/((-302)/80 - -4). Let x(r) be the first derivative of q*r**3 + r**4 + 1/9*r**6 - 8/3*r**2 + 0*r - 26 - 2/3*r**5. Factor x(g).
2*g*(g - 2)**3*(g + 1)/3
Let v = 22 - 18. Suppose 0 = -v*b + 12, 52 + 35 = 2*n - 5*b. Let -n*k**2 + k + 49*k**2 - 5*k = 0. What is k?
-2, 0
Let z(x) = x**3 - 6*x**2 + 40*x + 9*x**2 - 31*x + 7*x**4. Let f(w) = 8*w**4 + 2*w**3 + 4*w**2 + 10*w. Let o(r) = -5*f(r) + 6*z(r). Find k such that o(k) = 0.
-1, 0, 1, 2
Let l(c) be the first derivative of c**7/4620 - c**6/198 - 2*c**5/55 - 3*c**3 - 3*c + 14. Let d(a) be the third derivative of l(a). Factor d(r).
2*r*(r - 12)*(r + 2)/11
Let k(j) be the first derivative of j**6/6 + 48*j**5/5 - 107*j**4/4 - 118*j**3 - 100*j**2 - 3969. Solve k(g) = 0 for g.
-50, -1, 0, 4
Let m(p) be the first derivative of 16/3*p**3 + 0*p**2 + 0*p - 25 - p**4. Factor m(u).
-4*u**2*(u - 4)
Let w(o) = -4*o**2 + 6*o - 4. Let m(j) = -5*j**2 + 6*j - 4. Suppose 0 = -5*q - 64 + 49. Let x(p) = q*w(p) + 2*m(p). Factor x(h).
2*(h - 2)*(h - 1)
Let s(p) be the second derivative of -p**6/70 - 213*p**5/70 - 4441*p**4/28 + 21300*p**3/7 - 135000*p**2/7 + 566*p. Factor s(j).
-3*(j - 4)**2*(j + 75)**2/7
Let 1240*d**2 + 125*d + 245*d**5 - 1805*d**4 + 2820*d**3 + 3415*d**4 + 35*d = 0. Calculate d.
-4, -2, -2/7, 0
Let m = -9900 + 188170/19. Solve 8/19 - 8/19*l + 10/19*l**5 - 34/19*l**2 + m*l**3 - 46/19*l**4 = 0.
-2/5, 1, 2
Let v(c) be the second derivative of -c**5/50 - c**4/5 + 19*c**3/15 + 84*c**2/5 - 374*c + 1. Solve v(b) = 0.
-7, -3, 4
What is m in 3007*m - 23574*m**2 - 10711*m**3 - 2712 + 14597*m - 147*m**4 - 6110*m**3 = 0?
-113, -2, 2/7
Let g be (-95)/15*-3*(-178)/(-1691). Solve 0*i**g - 24/7*i**3 + 216/7*i - 4/7*i**4 + 324/7 = 0 for i.
-3, 3
Let k = -5/727 + 2191/1454. Let r(v) be the first derivative of -1/3*v**3 + k*v**2 + 1/5*v**5 + 0*v - 3 - 3/4*v**4. Factor r(z).
z*(z - 3)*(z - 1)*(z + 1)
Factor -1521/4*a**2 - 39/2*a**3 + 0 + 0*a - 1/4*a**4.
-a**2*(a + 39)**2/4
Let d(a) be the first derivative of 2*a**5/55 + a**4/11 - 2*a**3/11 - 4*a**2/11 + 8*a/11 - 1298. Suppose d(x) = 0. Calculate x.
-2, 1
Suppose 0 = -5*b + 1928 + 997. Solve 9680*g**2 - 2452 - 3208*g**3 + b*g**4 + 9600*g - 2668 - 1222*g**3 - 24*g**5 - g**5 = 0 for g.
-1, 2/5, 8
Suppose -4*m = -3*s - 19 - 164, -5*m - 3*s = -195. Factor 3 - 9*a**2 - 6*a**3 - 13*a - 29*a + m*a.
-3*(a + 1)**2*(2*a - 1)
Let y(n) be the third derivative of -1/60*n**6 + 2/945*n**7 - 1/12*n**4 - n**2 + 7/135*n**5 + 2/27*n**3 + 12 + 0*n. What is f in y(f) = 0?
1/2, 1, 2
Let p(h) be the second derivative of -h**6/20 - 129*h**5/10 + 173*h**4/8 + 32*h - 6. Factor p(d).
-3*d**2*(d - 1)*(d + 173)/2
Suppose 87*k - 90 = 57*k. Let z(u) be the second derivative of 1/48*u**4 + 0 - 8*u + 1/4*u**2 - 1/8*u**k. Factor z(y).
(y - 2)*(y - 1)/4
Let q(o) be the second derivative of -9/10*o**5 - 6*o**2 - 9/10*o**6 + 11/4*o**4 - 9*o + 2*o**3 + 0. Determine c, given that q(c) = 0.
-1, 2/3
Let n(h) = -9*h**2 + 318*h + 677. Let w be n(-2). Factor 0*o**3 + 1/4*o**w - 1/4*o + 1/2*o**4 - 1/2*o**2 + 0.
o*(o - 1)*(o + 1)**3/4
Let 98*r**2 - 210*r + 225/2 = 0. What is r?
15/14
Let n(d) be the first derivative of -5*d**6/6 - 419*d**5 - 54600*d**4 + 73500*d**3 - 977. Let n(i) = 0. What is i?
-210, 0, 1
Solve 263/7*x**2 + 36/7*x**5 + 0 + 565/7*x**3 - 888/7*x**4 + 24/7*x = 0.
-1/6, 0, 1, 24
Let l(u) = -19*u**2 - 78*u + 648. Let f(h) = -21*h**2. Let v(b) = -f(b) + l(b). Find m, given that v(m) = 0.
12, 27
Let t(n) = 7*n**2 + 3202*n + 2544103. Let m(f) = f**2 + 2*f + 13. Let j(c) = 6*m(c) - t(c). Suppose j(w) = 0. Calculate w.
-1595
Let p(g) be the first derivative of -2*g**3/27 - 28*g**2/9 - 392*g/9 + 740. Suppose p(x) = 0. What is x?
-14
Let p be (-8)/124 - (-6400)/3100. Let d(q) be the first derivative of -20/3*q**3 - 8*q**p - 8/3*q - 7/3*q**4 - 3/10*q**5 - 16. Solve d(i) = 0 for i.
-2, -2/9
Let v(r) be the second derivative of -r**6/60 + r**5/30 + 17*r**4/12 + 5*r**3 + 253*r**2/2 + r - 16. Let a(q) be the first derivative of v(q). Factor a(f).
-2*(f - 5)*(f + 1)*(f + 3)
Let n(s) be the third derivative of s**6/120 + 9*s**5/5 + 71*s**4/8 + 53*s**3/3 + 404*s**2 - 2*s. Determine a, given that n(a) = 0.
-106, -1
Let p(w) be the first derivative of 17/8*w**4 + 11/20*w**5 + 23/6*w**3 + 7/4*w + 70 + 1/24*w**6 + 29/8*w**2. Factor p(t).
(t + 1)**4*(t + 7)/4
Let p be (-3 + 10)/(-455) - 0. Let q = p - -68/195. Factor q*n**2 + 0 - 1/3*n.
n*(n - 1)/3
Let d be 50/8 + 4/(-16). Let o be (10/d)/((-13)/(-78)). Factor 6*c - 11 - o + 20 + 2*c**2 - 7.
2*(c - 1)*(c + 4)
Let d(q) = 57*q**2 - 12*q. Let w(l) = 30*l + 17*l - 44*l - 15*l**2. Let z(r) = 4*d(r) + 15*w(r). Factor z(c).
3*c*(c - 1)
Suppose 44*n + 157*n - 287 - 115 = 0. Suppose -2/19*j**4 + 0 + 0*j - 968/19*j**n + 88/19*j**3 = 0. What is j?
0, 22
Let w(a) be the second derivative of 43*a**5/5 - 428*a**4/3 - 3394*a**3/3 - 156*a**2 - 346*a - 1. Factor w(p).
4*(p - 13)*(p + 3)*(43*p + 2)
Let a(t) = 