- 2/75*y**7. Find x such that j(x) = 0.
-14, 0
Let f be (-22)/(-33)*((-57)/(-6) + -2). Suppose 5430*g**f - 5438*g**5 + 4*g - 18*g**4 + 13*g**2 + 4*g**3 + 5*g**2 = 0. What is g?
-2, -1, -1/4, 0, 1
Let n(o) = -o + 13. Let s be n(15). Let f(y) = -y**3 - 2*y**2 + 2. Let d be f(s). Let -d*x - 12*x**2 + 0*x**2 + 10*x - 4 + 8*x**2 = 0. What is x?
1
Determine c so that 362*c + 22511 - 7312 + 98*c**2 - 47*c**2 + 17562 - 50*c**2 = 0.
-181
Let a(b) be the second derivative of -1/6*b**4 + 0*b**3 + 0 + 271*b + 1/40*b**5 + 0*b**2. Determine z so that a(z) = 0.
0, 4
Let d(f) be the third derivative of -2*f - 27*f**2 + 1/210*f**5 + 0 + 27/7*f**3 + 3/14*f**4. Let d(b) = 0. Calculate b.
-9
Let -2/9*r**2 - 2/3*r + 56/9 = 0. Calculate r.
-7, 4
Let c(j) = 8*j**2 + 45*j + 2082. Let v(r) = -19*r**2 - 112*r - 5208. Let f(i) = 12*c(i) + 5*v(i). Suppose f(k) = 0. Calculate k.
-24, 44
Let p(x) be the first derivative of x**6/30 - x**5/4 + x**4/4 + 3*x**3/2 + 10*x - 44. Let b(y) be the first derivative of p(y). Factor b(q).
q*(q - 3)**2*(q + 1)
Let k(i) be the second derivative of i**6/10 - 9*i**5/20 - 9*i**4/2 - 2*i**3 + 36*i**2 - 4*i - 137. Determine w, given that k(w) = 0.
-2, 1, 6
Let l(m) be the first derivative of -m**3/9 + 359*m**2/6 + 362*m - 2981. What is k in l(k) = 0?
-3, 362
Let u(c) be the third derivative of -c**6/1260 - 5*c**5/126 + 53*c**4/252 - 3*c**3/7 + 4*c**2 + 163. Let u(h) = 0. What is h?
-27, 1
Solve 20 - 11 - 43*y - 138*y + 20*y**2 = 0 for y.
1/20, 9
Let j = -9 - -13. Suppose -4*y + w - 3*w = -14, 0 = j*y - 4*w - 8. Determine c so that -3*c**5 + 4*c**3 - y*c**3 - 3*c**4 - c**3 = 0.
-1, 0
Let j(n) be the first derivative of n**6/45 - n**5/60 - n**4/36 - 8*n - 11. Let p(x) be the first derivative of j(x). Determine c, given that p(c) = 0.
-1/2, 0, 1
Suppose -18 = -l - 5*x, 7*l - 15*x - 18 = -14*x. Find q, given that -36/7 - 34/7*q + 34/7*q**l - 2/7*q**4 + 38/7*q**2 = 0.
-1, 1, 18
Let n(b) be the third derivative of -1/168*b**8 - 3/80*b**6 + 1/120*b**5 + 62*b**2 + 11/420*b**7 + 0 + 1/48*b**4 + 0*b**3 + 0*b. Factor n(z).
-z*(z - 1)**3*(4*z + 1)/2
Suppose -4*n = 4*f - 8, -4*n + 5*f + 0*f = -26. Let a = 327573 - 982714/3. Solve 25/3*t**2 + a*t**n + 0 - 20/3*t**3 - 10/3*t = 0.
0, 1, 2
Solve 286 - 523*l**4 + 4*l**5 + 1640*l**2 + 218 + 1092*l**4 - 624*l**3 - 537*l**4 - 1556*l = 0.
-18, 1, 7
Let z be 20/(-10) - (-4 - -2). Suppose x + 2*x = -5*r - 15, z = -x - 5. Factor r + 2*o**3 + 14/11*o**2 + 10/11*o**4 + 2/11*o.
2*o*(o + 1)**2*(5*o + 1)/11
Suppose 610*d - 1417 + 699 - 1722 = 0. Solve 28/5*p**2 - 8/5*p**d + 6/5*p**3 - 2/5*p**5 + 16/5*p + 0 = 0.
-4, -1, 0, 2
Let 1076/3*z**3 + 8/3 - 1088/3*z + 1606/3*z**2 = 0. What is z?
-2, 2/269, 1/2
Factor -512/3 + 4/3*q**3 - 496/3*q - 112/3*q**2.
4*(q - 32)*(q + 2)**2/3
Let z(t) be the first derivative of 5*t**4/12 + 25*t**3/6 + 10*t**2 + 25*t - 13. Let y(a) be the first derivative of z(a). Let y(h) = 0. Calculate h.
-4, -1
Let o(d) be the third derivative of 0 + 1/2*d**3 - 5/6*d**4 + 1/5*d**5 + 0*d + 60*d**2. Factor o(q).
(2*q - 3)*(6*q - 1)
Let c(r) be the second derivative of -1/4*r**4 + 0 + 9*r**2 + 5/2*r**3 - 19*r. Solve c(b) = 0.
-1, 6
Suppose 64547*m = 64598*m - 102. Let b(k) be the first derivative of 0*k - 22 - 13/4*k**4 + 2*k**m - 11/5*k**5 + 20/3*k**3. Factor b(q).
-q*(q - 1)*(q + 2)*(11*q + 2)
Suppose 0 = -3*q - q, 2*q = 4*t - 12. Suppose t = a + 1. Factor 28 + 4*z**a + 32 + 6*z**3 - 60.
2*z**2*(3*z + 2)
Solve -141*u**3 + 28353*u - 594*u**2 - 3*u**4 + 343399 + 6331*u + 263537 + 16136*u = 0.
-22, 19
Let d(o) be the second derivative of o**8/4480 + o**7/240 + 13*o**4/4 - o - 7. Let r(j) be the third derivative of d(j). Suppose r(a) = 0. What is a?
-7, 0
Suppose -3*t = -0*t - z - 29, 3*t - 5*z - 73 = 0. Find n, given that t*n**3 - 3/2*n**5 + 0*n + 3/2*n**4 - 6*n**2 + 0 = 0.
-2, 0, 1, 2
Factor -786 - 5*v**2 - 10 - 830*v - 29.
-5*(v + 1)*(v + 165)
Let g(j) = 40*j**2 + 2635*j - 865922. Let v(w) = 26*w**2 + 2634*w - 865924. Let u(d) = 2*g(d) - 3*v(d). Factor u(z).
2*(z - 658)**2
Let y(w) = w - 7. Let t(z) = -2*z + 14. Let i(m) = -3*t(m) - 5*y(m). Let k be i(13). Factor -k*f**2 - 3 + 5*f + f + 3*f**2.
-3*(f - 1)**2
Suppose -12*o = -6*o - 18. Factor 13*h**5 - 13*h**4 - 31*h**5 - 3*h**o + 8*h**5.
-h**3*(h + 1)*(10*h + 3)
Determine v, given that 548*v + 191*v**3 - 6594*v**2 + 6252*v**2 - 2*v**4 - 73*v**3 - 112 - 210*v = 0.
1, 56
Let b(z) = -2*z**2 + 6*z - 8. Suppose -3*k + 2*k + 5*r = 8, -3*k + 2*r + 2 = 0. Let s(h) = h**3 - 3*h**2 + 6*h - 10. Let p(y) = k*s(y) - 3*b(y). Factor p(x).
2*(x - 1)**2*(x + 2)
Let u(g) = -g**2 - 5*g - 4. Let t(p) = 196*p - 464. Let s(m) = t(m) - 4*u(m). Let s(l) = 0. Calculate l.
-56, 2
Let a(j) be the first derivative of 5/6*j**2 - 4/9*j**3 + 1/12*j**4 - 7 - 2/3*j. Factor a(k).
(k - 2)*(k - 1)**2/3
What is u in 5948/3*u + 2*u**2 + 1982/3 = 0?
-991, -1/3
Let x be ((-35)/(-18))/((-2070)/(-4347)). Let k(z) be the third derivative of -x*z**3 + 0*z - 1/120*z**5 + 12*z**2 + 0 + 7/24*z**4. Factor k(n).
-(n - 7)**2/2
Suppose -138*g = -131*g - 21. Factor -7 - 1 - 8*x**2 - 807*x**3 - 4*x**5 + 791*x**g + 20*x + 16*x**4.
-4*(x - 2)*(x - 1)**3*(x + 1)
Factor -4 - 1/4*k**2 + 17/4*k.
-(k - 16)*(k - 1)/4
Let o(r) = -150*r + 3019. Let p be o(20). Let i(c) be the second derivative of -3/4*c**2 + 1/48*c**4 + 0 - p*c - 1/24*c**3. Factor i(d).
(d - 3)*(d + 2)/4
Let g(f) = 7*f + 73. Let a be g(-10). Suppose -2 + 2*p**2 - 727*p**3 + 0*p + p + 726*p**a = 0. What is p?
-1, 1, 2
Let l(u) = -u**3 + 12*u**2 + u + 7. Let m be l(12). Suppose -5*o - 4 + m = 0. Solve 2*z**o - 21*z**2 - 2*z - z**5 + 21*z**2 + z = 0.
-1, 0, 1
Suppose 38 - 11 = -9*i. Let o be i + (24/10 - -1). Factor -8/5*w**2 - o*w**3 + 2*w + 0.
-2*w*(w - 1)*(w + 5)/5
Let b(o) be the first derivative of o**4 - 38/3*o**3 + 28*o**2 - 128 + 2/5*o**5 - 24*o. What is k in b(k) = 0?
-6, 1, 2
Let i(n) = -13909*n + 70. Let w be i(-8). Suppose -w*l**3 - 18*l + 111330*l**3 - 79*l**2 - 31*l**2 = 0. Calculate l.
-9, -1/6, 0
Factor 0 - 7*l**2 - 1/2*l**3 - 12*l.
-l*(l + 2)*(l + 12)/2
Let o(s) be the first derivative of s**4/2 + 202*s**3/3 + 388*s**2 + 10496. Factor o(t).
2*t*(t + 4)*(t + 97)
Let r be ((-2)/(-102))/((-855)/(-10260)). Factor 2/17*a**2 - r + 2/17*a.
2*(a - 1)*(a + 2)/17
Suppose 221*f - 205*f - 256 = 0. Determine r, given that 33*r**2 - f*r**2 + 48*r - 61*r**2 - 16 + 12*r**3 = 0.
2/3, 1, 2
Factor -74/7*o**2 + 2720/7*o - 99200/21 + 2/21*o**3.
2*(o - 40)**2*(o - 31)/21
Let v(x) be the third derivative of -x**7/26460 - x**6/90 - 7*x**5/5 - x**4/24 - 16*x**3/3 + 36*x**2. Let f(w) be the second derivative of v(w). Factor f(p).
-2*(p + 42)**2/21
Let r(g) be the third derivative of 5*g**8/336 - 58*g**7/21 - 59*g**6/6 - g**5/6 + 1175*g**4/24 + 295*g**3/3 + g**2 - 290*g. Factor r(q).
5*(q - 118)*(q - 1)*(q + 1)**3
Let g(o) be the first derivative of -o**6/42 - 8*o**5/35 + 79*o**4/28 - 10*o**3/3 - 528. Solve g(l) = 0.
-14, 0, 1, 5
Factor 170*f**2 + f**5 + 1069906*f**4 - 335*f**3 + 4*f**5 - 1069746*f**4.
5*f**2*(f - 1)**2*(f + 34)
Let a(g) be the third derivative of 19/140*g**5 + 109*g**2 + 0*g + 5/14*g**3 + 0 + 3/280*g**6 + 3/8*g**4. Factor a(f).
3*(f + 1)*(f + 5)*(3*f + 1)/7
Let t(j) = -j**3 + 8*j**2 + 14*j - 43. Let v be t(9). Determine x so that -2*x**2 + v*x**3 + 14*x**2 - 2*x**2 - 8*x**2 = 0.
-1, 0
Let g(z) be the first derivative of z**2 - 35 + 3*z - 1/3*z**3. Suppose g(n) = 0. Calculate n.
-1, 3
Let p(d) = -20*d**2 - 336*d + 2268. Let v(l) = -12*l**2 - 224*l + 1511. Let w(b) = -5*p(b) + 8*v(b). What is a in w(a) = 0?
11, 17
Suppose 36*x = 114*x. Let c(r) be the second derivative of -2/9*r**3 + 0*r**4 + x - 2/3*r**2 - 24*r + 1/60*r**5 + 1/360*r**6. Determine w, given that c(w) = 0.
-2, 2
Determine o so that 11076 - 1339*o - 437*o - 5*o**2 - 4719 - 4577 + o**2 = 0.
-445, 1
Let i(o) = -36*o**2 - 24*o - 8. Suppose 165 = 15*y + 180. Let r(h) = h. Suppose 96 = 5*z + c, 4*c = -z + 8*c + 36. Let g(v) = y*i(v) + z*r(v). Factor g(t).
4*(t + 1)*(9*t + 2)
Let p be ((-1869)/(-42) + -66)/(-2). Factor 1/2 - p*q + 111/4*q**2.
(3*q - 1)*(37*q - 2)/4
Factor -14/9*t + 2/9*t**2 + 4/3.
2*(t - 6)*(t - 1)/9
Let k = -1923948 - -32707126/17. Let i be 4/51*(-3)/(-2). Factor -k*w**2 + 0 - i*w**3 - 12/17*w.
-2*w*(w + 2)*(w + 3)/17
Let p = -55848 - -279252/5. Factor -54/5 + 9/5*j + p*