q(v) = 17*v**2 + 1282*v - 3. Let z(h) = -3*j(h) - q(h). Let z(o) = 0. Calculate o.
-257, 0
What is u in 3*u**4 + 9810*u**2 - 3129*u + 122*u**4 + 409 - 56*u**3 - 8219*u**3 + 111 - 779*u = 0?
2/5, 65
Let z be 2*(-4)/24 + 58*3/360. Let k(n) be the second derivative of -2*n**3 + 3/4*n**4 + 0 + z*n**5 - 19*n + 0*n**2. Let k(o) = 0. What is o?
-4, 0, 1
Let x(o) = o**3 - 2*o**2 - 10*o + 31. Let f be x(5). Solve -95*k**3 + 376*k - 58*k**3 - f*k + 145*k**3 + 48 - 308*k**2 - 52*k**3 = 0 for k.
-6, -2/15, 1
Let f(y) be the first derivative of -y**6/900 - 7*y**5/300 - y**4/10 - 27*y**3 + 17. Let n(j) be the third derivative of f(j). Determine o, given that n(o) = 0.
-6, -1
Let t = 10307/1140 + -1879/228. Find k, given that t*k + 2/5*k**2 + 0 = 0.
-2, 0
Let h(n) be the second derivative of n**6/90 - 29*n**5/60 + 7*n**4/9 - 34*n + 2. Determine q so that h(q) = 0.
0, 1, 28
Factor -83/3*l**2 + 1/3*l - 27*l**4 + 163/3*l**3 + 0.
-l*(l - 1)**2*(81*l - 1)/3
Let o = -10/10363 + 82954/51815. Factor -o + 16/15*l - 2/15*l**2.
-2*(l - 6)*(l - 2)/15
Let o be 22/8 + ((-1)/(-8))/((-45)/(-90)). Suppose 2/3*p - 2/3*p**o + 2/3*p**2 + 0 - 2/3*p**4 = 0. What is p?
-1, 0, 1
Let o = -418807/2 + 209405. Factor -3/2 - 3/2*g**3 + 3/2*g + o*g**2.
-3*(g - 1)**2*(g + 1)/2
Let c = 1474 - 2026. Let w = c - -554. Factor 8/7*z**w + 0 - 8/7*z**3 + 0*z + 2/7*z**4.
2*z**2*(z - 2)**2/7
Factor 15*y**2 + 79251 + 3*y**3 - 39648 - 39630 + 9*y.
3*(y - 1)*(y + 3)**2
Let s(v) = -v**3 + 14*v**2 - 16*v + 49. Let l be s(13). Suppose -28*h - l*h = -11*h. Factor -2/5*c**3 - 2/5*c**4 + h*c**2 + 0*c + 0.
-2*c**3*(c + 1)/5
Let k(n) be the second derivative of n**5/10 + 20*n**4/3 + 64*n**3 - 4608*n**2 - 36*n - 5. Determine c so that k(c) = 0.
-24, 8
Let s be (-57)/(-4) - 3/(-4). Suppose -s*c = -c. Factor -6/7*r**5 + c + 0*r + 6/7*r**3 + 6/7*r**4 - 6/7*r**2.
-6*r**2*(r - 1)**2*(r + 1)/7
Let r(d) be the second derivative of -d**5/190 + 111*d**4/38 - 8957*d**3/19 - 142805*d**2/19 + 1148*d. Factor r(x).
-2*(x - 169)**2*(x + 5)/19
Let o(j) be the second derivative of j**4/6 - 730*j**3/3 + 1456*j**2 - 7515*j. Factor o(d).
2*(d - 728)*(d - 2)
Let s(r) be the third derivative of -r**7/945 + r**6/180 + 19*r**5/135 + 2*r**4/9 - 64*r**3/27 + 57*r**2 + 11*r. Let s(l) = 0. What is l?
-4, -2, 1, 8
Let z(i) be the third derivative of -i**8/6720 + i**7/280 - i**6/48 + i**5/20 + 11*i**3/6 + 126*i**2. Let u(n) be the third derivative of z(n). Factor u(b).
-3*(b - 5)*(b - 1)
Let l(h) = -8*h + 127. Let y be l(15). Suppose 9 + y = 8*u. Suppose 8/3*k + 16/3 + 1/3*k**u = 0. Calculate k.
-4
Let g = -951 - -952. Let l be (-81)/9*g + 11. Find m, given that -626/11*m**l - 292/11*m**3 - 72/11 - 408/11*m - 42/11*m**4 = 0.
-3, -2/3, -2/7
Let k(i) be the third derivative of -i**6/660 + i**5/132 - i**4/66 + 29*i**3/2 - 18*i**2. Let g(s) be the first derivative of k(s). What is v in g(v) = 0?
2/3, 1
Factor 443 + 30*q + 28*q**2 - 402*q + 781.
4*(q - 6)*(7*q - 51)
Let v(a) = 12*a**2 - 4 - 181*a + 168*a - 12 - 6*a**3. Let n(s) = -s**3 + s**2 - s. Let f(k) = 5*n(k) - v(k). Factor f(h).
(h - 4)**2*(h + 1)
Let d(x) be the second derivative of x**5/45 + 5*x**4/27 + 14*x**3/27 + 2*x**2/3 + 2610*x. Determine a, given that d(a) = 0.
-3, -1
Suppose 0 = -8*v + 747 + 389. Factor v*g + 5*g**3 - 285*g + 138*g.
5*g*(g - 1)*(g + 1)
Let r(q) be the first derivative of -q**7/252 - 8*q**6/135 - 19*q**5/60 - q**4/2 - 14*q**3/3 - 4*q + 84. Let v(t) be the third derivative of r(t). Factor v(z).
-2*(z + 3)**2*(5*z + 2)/3
Let v(b) be the third derivative of b**5/40 - 11*b**4/16 - 13*b**3/2 - 488*b**2. Factor v(u).
3*(u - 13)*(u + 2)/2
Let q(b) = -b**3 + 9*b**2 - 22*b + 8. Let f be q(4). Suppose 0 = 9*d - f*d. Factor -4/7*i**2 + 2/7*i**5 + 10/7*i**3 + d*i - 8/7*i**4 + 0.
2*i**2*(i - 2)*(i - 1)**2/7
Let j(k) be the second derivative of -k**4/36 + 604*k**3/9 - 182408*k**2/3 + 4764*k. Factor j(h).
-(h - 604)**2/3
Let s = -367/12 - -2699/60. Solve 3/5*d**3 + 27/5*d**2 + 48/5 + s*d = 0.
-4, -1
Let z(q) = q**4 - q**3 + q**2 - q. Let x(l) = 122*l**4 - 166*l**3 - 50*l**2 + 114*l - 20. Let n(o) = x(o) - 2*z(o). Let n(f) = 0. Calculate f.
-5/6, 1/5, 1
Suppose -6*m + 250 = -110. Let g be (m/(-16))/((-6)/8). Find l such that 8*l**5 - 25*l**2 + 6*l + l**g + 40*l**2 - l**4 - 14*l**4 - 15*l**3 = 0.
-1, -1/3, 0, 1, 2
Let g(n) be the first derivative of -n**6/50 + 11*n**5/150 + n**4/30 + 43*n**2 - 56. Let q(m) be the second derivative of g(m). Let q(p) = 0. What is p?
-1/6, 0, 2
Let q(n) be the first derivative of n**3/15 - 28*n**2/5 + 108*n/5 - 360. Suppose q(c) = 0. What is c?
2, 54
Let q(f) be the first derivative of f**6/9 - 28*f**5/15 - 31*f**4/6 - 32*f**3/9 + 1863. Suppose q(c) = 0. What is c?
-1, 0, 16
What is r in 344/7*r + 4/7*r**2 + 7396/7 = 0?
-43
Factor 152/5*j + 438/5 + 2/5*j**2.
2*(j + 3)*(j + 73)/5
Let g(k) be the second derivative of 0 - 8*k**2 - 5/12*k**4 - 28*k - 2*k**3. Let l(a) = -a**2 - a. Let x(n) = 5*g(n) - 20*l(n). Factor x(j).
-5*(j + 4)**2
Let x(h) be the third derivative of -3/4*h**5 + 1/24*h**6 + 0*h**4 + 7*h**2 + 15 + 0*h**3 + 0*h. Solve x(i) = 0.
0, 9
Let q(w) be the first derivative of -w**9/12096 + w**7/1680 - w**5/480 + 38*w**3 + 5. Let b(x) be the third derivative of q(x). Factor b(c).
-c*(c - 1)**2*(c + 1)**2/4
Let b be (-4 - -9)/(1 - 0). Solve 24*l**3 - 18*l**4 + 745*l + 18*l**2 + 6*l**5 - 3*l**b - 772*l = 0.
-1, 0, 1, 3
Let -108*k**3 - 1408*k - 1/4*k**5 + 568*k**2 + 37/4*k**4 + 1344 = 0. Calculate k.
4, 21
Suppose -1/9*q**3 + 1/9*q - 35/3 + 35/3*q**2 = 0. Calculate q.
-1, 1, 105
Let s(q) be the third derivative of -q**7/105 + 71*q**6/60 + 373*q**5/30 + 529*q**4/12 + 76*q**3 - q**2 - 2799. Let s(y) = 0. Calculate y.
-3, -1, 76
Factor -3/4*j**2 - 40368 + 348*j.
-3*(j - 232)**2/4
Let k(l) be the first derivative of -l**6/3 + 818*l**5/5 - 22397*l**4 + 1223620*l**3/3 - 2959925*l**2 + 9702250*l - 3082. What is z in k(z) = 0?
5, 197
Let g = -4725 + 4729. Let u(x) be the first derivative of 0*x - 2/9*x**6 + 14 + 4/9*x**3 + 1/3*x**g - 4/15*x**5 + 0*x**2. Find m such that u(m) = 0.
-1, 0, 1
Let x(t) = -6*t**3 + 2094*t**2 + 5668*t + 3796. Let z(q) = 7*q**3 - 2094*q**2 - 5669*q - 3797. Let k(o) = 11*x(o) + 12*z(o). Determine b, given that k(b) = 0.
-4/3, 119
Let g = 46836/5 + -140483/15. Determine l so that 0*l + 35/6*l**4 - 10/3*l**5 - 5/6*l**2 + 0 - g*l**3 = 0.
-1/4, 0, 1
Let z(x) be the first derivative of -13/2*x**2 + 1/150*x**5 + 0*x - 1/20*x**4 - 5 + 2/15*x**3. Let q(o) be the second derivative of z(o). Factor q(p).
2*(p - 2)*(p - 1)/5
Let w = -2052 + 2056. Suppose -v = w*v - 15. Factor 1/2*i**5 + 10*i**2 - i**4 - 6*i + 0 - 7/2*i**v.
i*(i - 2)**2*(i - 1)*(i + 3)/2
Let t(i) = -8*i**4 - i**3 - i**2 + i - 3. Let l(n) = 174*n**4 + 102*n**3 - 182*n**2 - 742*n + 2064. Let r(x) = -2*l(x) - 44*t(x). Solve r(b) = 0.
-3, 3, 37
Let h(r) = 2*r**4 + 116*r**3 - 736*r**2 + 1548*r - 838. Let f(v) = -v**4 - 2*v**2 - 20. Let l(u) = 4*f(u) + h(u). Factor l(w).
-2*(w - 51)*(w - 3)**2*(w - 1)
Let i(k) be the first derivative of k**6/1440 + k**5/60 + k**3 + 58. Let j(d) be the third derivative of i(d). Suppose j(u) = 0. What is u?
-8, 0
Let l(c) be the third derivative of -c**6/1320 - 149*c**5/660 - 665*c**4/33 + 2888*c**3/11 - 9*c**2 - 156*c. Solve l(i) = 0 for i.
-76, 3
Let f(n) = 674*n + 294540. Let c be f(-437). Determine z, given that 0 + 20/7*z**c - 4/7*z - 5/7*z**4 + 1/7*z**3 = 0.
-2, 0, 1/5, 2
Let l(w) = -31*w**2 + 31*w + 11. Let p = 502 + -491. Let v = -5 - -3. Let f(t) = -6*t**2 + 6*t + 2. Let i(g) = p*f(g) + v*l(g). Suppose i(r) = 0. What is r?
0, 1
Let m(d) = -d**5 + 7*d**4 - d**3 + 4*d**2 + 8*d - 2. Let f(h) = -3*h**3 - 2*h**2 + h - 1. Let c(n) = -6*f(n) - 2*m(n). Suppose c(z) = 0. Calculate z.
-1, 1, 5
Let q(h) be the first derivative of 1/2*h**2 + 24*h + 1/12*h**3 - 1/24*h**4 + 6. Let x(k) be the first derivative of q(k). What is y in x(y) = 0?
-1, 2
Let l = -4651 - -4657. Let k(p) be the second derivative of -1/36*p**4 + l*p + 4/9*p**3 + 0 - 8/3*p**2. Determine h, given that k(h) = 0.
4
Let n be (-5)/(-3)*42/(-35) - (-8 + 3). Suppose 4/3*f**n + 36*f + 12*f**2 + 36 = 0. Calculate f.
-3
Suppose 211100 = -252*q + 211856. Let 128/9 - 2/9*c**q + 40/9*c**2 - 136/9*c = 0. Calculate c.
2, 16
Let x(o) = -o**3 + 18*o**2 - 52*o - 24. Let t be x(16). Let i be 1/(8