*2. Let a(v) = 0. What is v?
-3, 1, 4
Let y(t) be the first derivative of -11*t**5/300 - 31*t**4/120 + t**3/5 - t**2/2 + 48*t + 88. Let s(m) be the second derivative of y(m). Solve s(a) = 0.
-3, 2/11
Let c = 56753/368901 - -1/368901. What is y in -14/13*y - 4/13*y**2 - 6/13 + 10/13*y**4 + 12/13*y**3 + c*y**5 = 0?
-3, -1, 1
Let s(b) be the third derivative of -b**6/2340 + b**5/130 - 2*b**4/39 - 25*b**3/2 - 2*b**2 + 6. Let x(m) be the first derivative of s(m). Factor x(c).
-2*(c - 4)*(c - 2)/13
Suppose -3*g - 5*b = -1, 0 = b - 3*b - 8. Factor -1 - 13*k + 11 - 12*k**2 + 24*k**2 - 2*k - g*k**2.
5*(k - 2)*(k - 1)
Factor 302/11*k**2 + 3536/11*k + 6/11*k**3 - 6760/11.
2*(k + 26)**2*(3*k - 5)/11
Let p be -2 + (378/3)/2. Let g = p + -58. Factor -10*x - 4 - x**2 + 3*x**2 + 10*x**3 + 5*x**2 - g*x**2.
2*(x - 1)*(x + 1)*(5*x + 2)
Let v(k) = -k**3 + 13*k**2 + 12*k + 1. Let d be v(14). Let y = d + 30. Solve 8*o**y + 7*o**3 - 16*o**3 + 2*o + o**2 = 0 for o.
-1, 0, 2
Let i(w) = -w**2 - 1011*w + 6106. Let j be i(6). Factor -3*h**2 - 15/2 - 33/2*h + 21/2*h**j + 3/2*h**5 + 15*h**3.
3*(h - 1)*(h + 1)**3*(h + 5)/2
Suppose 1265/4*c**2 + 1/4*c**4 + 319/4*c**3 + 1577/4*c + 315/2 = 0. Calculate c.
-315, -2, -1
Factor 0 + 5*c + 1/8*c**2.
c*(c + 40)/8
Let o(g) be the first derivative of -2*g**3/3 + 106*g**2 - 1386*g + 5509. Solve o(v) = 0.
7, 99
Let d(m) = -3*m + 8. Let a(x) = -7*x + 17. Let g(f) = -2*a(f) + 5*d(f). Let h be g(0). Factor -3*z**2 - 4*z - h*z + 2*z - z**2.
-4*z*(z + 2)
Let c(r) be the second derivative of 5*r**7/399 + 14*r**6/285 - 39*r**5/95 + 50*r**4/57 - 47*r**3/57 + 6*r**2/19 + 9078*r. What is g in c(g) = 0?
-6, 1/5, 1
Let u(i) be the third derivative of 0*i + 4/21*i**3 - 1/70*i**5 + 0 + 1/42*i**4 + 1/1470*i**7 - 9*i**2 - 1/840*i**6. Suppose u(g) = 0. What is g?
-2, -1, 2
Let x(c) = 2*c**2 - 28*c - 2. Let o(k) = 6*k**2 - 84*k - 7. Let g(w) = 2*o(w) - 7*x(w). Factor g(s).
-2*s*(s - 14)
Factor -5*c**2 - 358 - 2780 - 456 + 464 - 3135*c.
-5*(c + 1)*(c + 626)
Find d such that -1443 + 3848*d**2 - 570 - 10*d**3 + 1907*d**2 - 3825*d - 5*d**3 + 98 = 0.
-1/3, 1, 383
Suppose -3*w + 5*c = 10 + 10, 2*w + 5*c = 20. Let j be (8/(-20) - w)*50/(-15). Solve -2*z + j + 2/3*z**2 = 0 for z.
1, 2
Let c(m) be the second derivative of -2/15*m**6 + 0 + 1/3*m**4 + 12*m - 1/63*m**7 + 0*m**2 + 8/9*m**3 - 7/30*m**5. Find b, given that c(b) = 0.
-4, -2, -1, 0, 1
Let n(s) be the second derivative of 283 - 1/27*s**4 - 1/90*s**5 + 2*s + 1/9*s**3 + 0*s**2. Factor n(x).
-2*x*(x - 1)*(x + 3)/9
Let o(w) = w**3 + 3*w**2 + 10*w - 52. Let u be (-4)/10 + 242/55. Let r(f) = 2*f**3 + 2*f**2 + 11*f - 54. Let x(z) = u*r(z) - 6*o(z). Solve x(p) = 0.
-3, 4
Factor 4*y**3 - y**3 - 802 - 1184 + 422*y**2 - 3591*y + 189 - 2213*y**2.
3*(y - 599)*(y + 1)**2
Factor 456/7 - 222/7*d - 3/7*d**2.
-3*(d - 2)*(d + 76)/7
Suppose 15*b - 2407 = -682. Let g = -106 + b. Factor -3/2*y**3 + 33/2*y - g - 6*y**2.
-3*(y - 1)**2*(y + 6)/2
Let i(j) be the first derivative of -j**6/54 - 2*j**5/45 + j**4/6 + 4*j**3/27 - 13*j**2/18 + 2*j/3 + 928. Factor i(y).
-(y - 1)**3*(y + 2)*(y + 3)/9
Let u(l) = -1371*l + 4117. Let g be u(3). Let b(i) be the first derivative of 0*i**2 + 0*i - 26 + 1/4*i**3 + 3/8*i**g + 3/20*i**5. Find f, given that b(f) = 0.
-1, 0
Suppose 34*q - 46*q + 60 = 0. Suppose -x**5 + x**q - 5*x**5 + 79*x**2 - 25*x**3 + 20*x**4 + 0*x**5 - 69*x**2 = 0. Calculate x.
0, 1, 2
Suppose 2*r = 7*r + j - 360, j = 5*r - 360. Let x(g) = -3*g**2 - 105*g - 570. Let t be x(-28). Find p such that -3/2*p**3 + t*p**2 - r*p + 96 = 0.
4
Let o = 1079651/5 + -215075. Let m = o - 854. Suppose 4/5*i**2 - m*i - 2/15*i**3 + 8/15 = 0. What is i?
1, 4
Let f(q) be the second derivative of -q**6/150 - 4*q**5/25 + 5*q**4/12 + 62*q**3/15 - 102*q**2/5 + 1393*q. Let f(y) = 0. What is y?
-17, -3, 2
Let m(k) be the first derivative of 4*k**5/5 - 333*k**4/4 + 6803*k**3/3 + 2688*k**2 - 1764*k - 670. Suppose m(y) = 0. What is y?
-1, 1/4, 42
Factor -17/3*s**2 - 10 - 47/3*s.
-(s + 1)*(17*s + 30)/3
Suppose -22/5*c - 2 + 14/5*c**4 - 4/5*c**2 + 2/5*c**5 + 4*c**3 = 0. Calculate c.
-5, -1, 1
Let s be (-2520)/(-700) + (-560)/225 - (2 - 1023/270). Find a such that 9/10*a**4 - 3/5 - s*a - 3/10*a**2 + 29/10*a**3 = 0.
-3, -1, -2/9, 1
Let o(s) be the third derivative of 1/28*s**4 + 0*s - 4/21*s**3 + 1/210*s**5 + 0 - 49*s**2. Solve o(g) = 0 for g.
-4, 1
Let d(w) be the first derivative of w**6/9 - 4*w**5/3 - 5*w**4/6 + 100*w**3/9 + 4*w**2/3 - 80*w/3 + 6041. Determine q so that d(q) = 0.
-2, -1, 1, 2, 10
Let n be 23/(-5) + -326 + 333. Determine c, given that n*c**2 + 0 - 18/5*c - 2/5*c**3 = 0.
0, 3
Let d(b) be the second derivative of -b**6/180 + 311*b**5/60 - 32447*b**4/24 + 48205*b**3/9 - 24025*b**2/3 + 70*b + 5. What is w in d(w) = 0?
1, 310
Let u = -64 + 46. Let n = u + 20. Factor -10*o**n + 8*o + 567 - 567 - o**3 - 33*o.
-o*(o + 5)**2
Find d such that 38/3*d**4 - 76/3*d**2 + 38/3 + 2/3*d**3 - 1/3*d**5 - 1/3*d = 0.
-1, 1, 38
Let k(d) be the third derivative of 0*d**5 + 0*d**4 + 1/24*d**6 + 0*d**3 + 0*d - 28 + 5*d**2 + 1/21*d**7 + 5/336*d**8. Find v, given that k(v) = 0.
-1, 0
Let j(x) be the first derivative of -95*x**4/12 - 191*x**3/3 - 291*x**2/2 - 9*x + 4701. Factor j(h).
-(h + 3)**2*(95*h + 3)/3
Let j(v) be the second derivative of -v**4/30 - 31*v**3/15 + 72*v**2 - v + 2046. Determine t, given that j(t) = 0.
-40, 9
Suppose 5*l + 88 = 5*w - 557, 5*l + 267 = 2*w. Let z = -91 + w. Factor -z - 11*x**2 - x**2 + 35 + 3*x**3 + 9*x.
3*x*(x - 3)*(x - 1)
Let d(u) = -22*u**2 - 122. Let a(l) = -50*l**2 - l - 243. Let m(c) = -4*a(c) + 9*d(c). Factor m(n).
2*(n - 7)*(n + 9)
Let k(y) be the first derivative of -18745/2*y**4 - 5/6*y**6 - 661010/3*y**3 - 1212505/2*y**2 - 149*y**5 - 588245*y - 31. Factor k(d).
-5*(d + 1)**2*(d + 49)**3
Let g(w) be the second derivative of 1/2*w**2 - 1/12*w**4 + 1/3*w**3 + 95*w - 1/10*w**5 + 0. Factor g(f).
-(f - 1)*(f + 1)*(2*f + 1)
Let k(m) be the first derivative of 5*m**4/24 - 65*m**3/9 + 665*m**2/12 + 1824. Let k(g) = 0. What is g?
0, 7, 19
Let c(u) = u**3 - 9*u**2 + 9*u - 5. Let l be c(8). Let -8*f - 6880*f**5 - 7*f**4 - 12*f**2 + 35*f**4 + 12*f**l + 6892*f**5 = 0. What is f?
-1, 0, 2/3
Find z, given that -z**2 - 1440*z - 183821 - 4*z**2 + 80141 = 0.
-144
Let t be 126/12 + -1*6. Let v = -4126 - -4129. Determine d, given that 0*d**4 + 0 - t*d - 9*d**v + 12*d**2 + 3/2*d**5 = 0.
-3, 0, 1
Suppose 0 = 14*d - 11*d + 6. Let y be (55/(-55))/(1 - (-3)/d). Suppose -1/6*s**3 + 0*s + 0 + 1/6*s**y = 0. Calculate s.
0, 1
Let t = -9173/2 - -5286. Let n = -698 + t. Find o, given that -2/3*o + 0 - o**3 - n*o**2 - 1/6*o**4 = 0.
-4, -1, 0
Suppose -2*d + 30 = -0*d - 5*l, -3*l - 12 = 0. Factor -4*i + d*i**2 + 5*i**3 - 91*i + 15*i + 100.
5*(i - 2)**2*(i + 5)
Find f such that 0 + 180/7*f**4 + 0*f**2 + 3*f**5 - 81/7*f**3 + 0*f = 0.
-9, 0, 3/7
Suppose 4*x + 96 = -3*d + 215, 5*d - 245 = 5*x. Let p be (30/(-18))/(d/(-54)). Factor 8/5*a - p + 2/5*a**2.
2*(a - 1)*(a + 5)/5
Let j(h) = h**4 + 48*h**3 - 8*h**2 + 15*h - 2. Let g(k) = -6*k**3 - k + 1. Let x(z) = 36*g(z) + 4*j(z). Solve x(p) = 0 for p.
-1, 1, 7
Let w(y) be the second derivative of -7/6*y**5 - 80/3*y**2 + 5/126*y**7 + 135*y + 0 + 20/9*y**3 - 1/18*y**6 + 35/9*y**4. Solve w(s) = 0.
-4, -1, 2
Let f(o) be the first derivative of 5/2*o + 77 - 9/8*o**2 - 1/12*o**3. Factor f(q).
-(q - 1)*(q + 10)/4
Let b(c) be the second derivative of 4*c**4/3 - 31*c**2/2 - 24*c. Let x be b(15). Factor -11*g - 3533 + 32*g + 3*g**2 + x.
3*(g + 3)*(g + 4)
Let b(u) be the second derivative of -u**4/3 + 2356*u**3/3 + 2199*u. Factor b(h).
-4*h*(h - 1178)
Let k = -1751/178 + 920/89. Factor -2*m + 2*m**2 + k.
(2*m - 1)**2/2
Factor 20/17*f**2 - 2/17*f**3 + 24/17 + 46/17*f.
-2*(f - 12)*(f + 1)**2/17
Suppose 205*v - 42*v + 2 = 2. Let b(p) be the third derivative of 1/360*p**5 + v*p**3 - 27*p**2 + 0*p - 1/144*p**4 + 0. Suppose b(a) = 0. What is a?
0, 1
Let v be 8/36*243/27. Suppose 4*q = 10 + 2. Solve -15*m**3 - 15*m**q + 22*m - 37*m + 5*m**5 + 40*m**v = 0.
-3, 0, 1
Let b(s) be the third derivative of s**7/420 - 4*s**6/15 + 25*s**5/24 - 31*s**4/24 - 1682*s**2. What is o in b(o) = 0?
0, 1, 62
Let z be (-4)/(-3) - -1*(-7)/(-15). Let d be ((-8)/(-32) - (-122)/(-200))*(-10)/3. Suppose -z*n + 0 + d*n**2 = 0. What is n?
0, 3/2
Let b = 45 - -2