Suppose -4*v = 3*j - 7 - 11, -4*j - v = -11. Find k, given that 22*k + 3*k**4 - j*k**4 + 11*k - 2*k**3 - 37*k - 7*k**2 = 0.
-1, 0, 4
Let n be (-244)/64*-2 - (-12)/32. Suppose -439 + 15*g + 5*g + 439 + n*g**3 + 7*g**3 - 65*g**2 = 0. What is g?
0, 1/3, 4
Let s = 3147183/85 - 185884/5. Let x = -151 - s. Factor 0 - x*g**3 + 0*g + 4/17*g**2.
-2*g**2*(g - 2)/17
Let g(s) be the second derivative of 0*s**2 + 1/3*s**4 + 2/3*s**3 - 2*s - 6. Factor g(f).
4*f*(f + 1)
Let z be (6 - 36/7)*(35 - 0). Determine b, given that -4*b**2 + z*b - 52*b + 2*b**2 = 0.
-11, 0
What is l in -206/13*l**2 - 406/13*l + 2/13*l**4 - 228/13 - 2*l**3 = 0?
-3, -2, -1, 19
Let t(r) = -5*r**3 + 350*r**2 - 7*r - 344. Let u(v) = 7*v**3 - 350*v**2 + 9*v + 342. Let y(l) = -4*t(l) - 3*u(l). Find c such that y(c) = 0.
-350, -1, 1
Let h(r) = -41*r**2 - 1636*r - 251. Let c(z) = -40*z**2 - 1636*z - 236. Let j(w) = -3*c(w) + 4*h(w). Factor j(o).
-4*(o + 37)*(11*o + 2)
Let y(v) = -2*v**2 - v + 1. Let m(w) = -20*w**3 - 126*w**2 + 59*w - 3. Suppose -h - 12 = -0*h - 3*t, -5*h - 4*t + 35 = 0. Let l(d) = h*y(d) + m(d). Factor l(p).
-4*p*(p + 7)*(5*p - 2)
Suppose x - 3*c - 16 = 0, 3*c = -2*x - 1 - 3. Let h = 9629072/5 - 1925814. Let 2*o**3 - 16/5*o**2 + 0 - h*o**x + 8/5*o = 0. What is o?
0, 1, 2
Let m be (-19)/38*16/(-11)*(32 + -31). Factor -m*v + 7/11 + 1/11*v**2.
(v - 7)*(v - 1)/11
Let m(t) be the first derivative of 1/12*t**4 + 1/60*t**5 - 38 + 0*t - 13*t**2 + 0*t**3. Let f(u) be the second derivative of m(u). Suppose f(n) = 0. What is n?
-2, 0
Let j be (-3)/20*408/(-4284). Let w(s) be the second derivative of -14*s - j*s**5 - 6/7*s**4 - 1728/7*s**2 - 144/7*s**3 - 2. Suppose w(q) = 0. What is q?
-12
Let t = 2159/143940 + 4/2399. Let i(a) be the third derivative of a**3 + 7/12*a**4 + 1/6*a**5 - 11*a**2 + 0 + 0*a + t*a**6. Solve i(j) = 0 for j.
-3, -1
Let n(w) = 10*w + 222. Let d be n(-22). Let 404*q + 5*q**2 + 6 - 4*q**d - 182*q + 26 - 204*q = 0. Calculate q.
-16, -2
Let o(h) be the first derivative of 0*h - 1/15*h**3 + 1/20*h**4 + 1/25*h**5 - 110 - 1/10*h**2. What is y in o(y) = 0?
-1, 0, 1
Let y(g) be the third derivative of g**8/23520 + g**7/2940 + g**6/1260 + 13*g**4/6 - 94*g**2. Let t(i) be the second derivative of y(i). Factor t(u).
2*u*(u + 1)*(u + 2)/7
Find t such that -1/6*t**2 + 200/3 + 7*t = 0.
-8, 50
Let p(u) be the first derivative of -u**4/12 + 529*u**3/9 + 1067*u**2/2 + 1605*u - 3343. What is i in p(i) = 0?
-3, 535
Let b(u) be the third derivative of -1/390*u**5 + 42*u**2 + 5/13*u**4 - 300/13*u**3 + 0*u + 0. Let b(t) = 0. What is t?
30
Determine v so that 1/2*v**2 - 9/2*v**3 + 9/4*v - 1/4*v**4 + 9/4*v**5 - 1/4 = 0.
-1, 1/9, 1
Let p = -344 + 348. Let r be 18/(-3) + (5 - (p + -5)). Determine v, given that -21/8*v**4 - 15/8*v**3 + 3/4*v**2 + r*v + 0 = 0.
-1, 0, 2/7
Solve 5*b**5 + 7*b**4 - 5581 + 1640*b**3 + 148*b**4 + 12960*b + 14221 + 7020*b**2 = 0.
-12, -3, -2
Let i = 24 - 10. Let a(d) = -d + 16. Let j be a(i). Solve 9*u**2 - 6*u + 5 + 0*u**j - 5 = 0 for u.
0, 2/3
Let i = 458/1383 - -1/461. Let h(z) be the second derivative of -i*z**3 + 8*z - 11/5*z**5 - 3/7*z**7 + 4/3*z**4 + 8/5*z**6 + 0 + 0*z**2. Solve h(t) = 0 for t.
0, 1/3, 1
Let q(w) be the first derivative of 2*w**5/55 - 8*w**4/11 + 64*w**3/11 - 256*w**2/11 + 512*w/11 + 400. Factor q(h).
2*(h - 4)**4/11
Suppose -184*s + 665*s - 2103 = -220*s. Let t(z) be the first derivative of -38 - 11/4*z + 53/16*z**2 + 5/24*z**s. Let t(h) = 0. What is h?
-11, 2/5
Let o(l) = -l**2 - 10*l - 14. Let g be o(-2). Solve -15*h**4 + 72*h - 47 - 44*h**g + 15 - 11*h**4 + 30*h**4 = 0.
-4, 1, 2
What is b in -19 - 140 + 69 + 85*b**2 - 45*b + 5*b**4 + 45*b**3 = 0?
-6, -3, -1, 1
Let f(y) be the first derivative of 1/4*y**2 - 9/32*y**4 - 3*y + 7 + 3/4*y**3 + 1/40*y**5. Factor f(a).
(a - 6)*(a - 2)**2*(a + 1)/8
Suppose 41*h - 40*h - 1 = 0. Suppose h = 14*t - 41. Determine j so that 0*j**2 + 2/3 + j - 1/3*j**t = 0.
-1, 2
Let o be ((-6)/(156/(-737)) - 30/(-195))/((-27)/(-6)). Factor 100/3 - 80/3*a - 1/3*a**3 - o*a**2.
-(a - 1)*(a + 10)**2/3
Let q = -1 + 15. Let w(c) = -c**2 + 17*c - 40. Let n be w(q). Solve -12 - 5 - 4*r**2 + 7*r**n + 14 = 0.
-1, 1
Let i(k) = -82*k**2 + 1800*k + 269995. Let p(b) = -65*b**2 + 1800*b + 269996. Let c(s) = -4*i(s) + 5*p(s). Determine f, given that c(f) = 0.
-300
Let f be 7 + (1/(-5) - -5*38/(-50)). Let c(w) be the second derivative of 20*w - 1/5*w**5 + 0 + 0*w**2 + 0*w**f - 5/3*w**4. Solve c(d) = 0.
-5, 0
Let q(k) be the first derivative of k**4/36 + 3*k**3 + 243*k**2/2 - 146*k + 116. Let r(y) be the first derivative of q(y). Factor r(p).
(p + 27)**2/3
Let y be (-17)/2*(-34)/17. Factor y*n**3 + 56*n - 12*n - 24*n**2 - 13*n**3 + 4*n - 32.
4*(n - 2)**3
Suppose 2575*i = 344*i. Suppose 2*f + 0*a + 4*a - 12 = 0, 0 = 4*f + 3*a - 14. Suppose i - 1/4*d**f - 5/8*d**3 + 0*d = 0. Calculate d.
-2/5, 0
Let o(g) be the second derivative of 0 + 300*g - 11/2*g**3 - 1/4*g**4 - 36*g**2. Find l such that o(l) = 0.
-8, -3
Let n(y) be the second derivative of -y**6/150 - 11*y**5/5 - 5939*y**4/30 + 814*y**3 - 12321*y**2/10 - 149*y - 2. Factor n(k).
-(k - 1)**2*(k + 111)**2/5
Let x = 201 - 191. Suppose -x*i - 73 + 93 = 0. Factor -4/7 - 2/7*q**i + 6/7*q.
-2*(q - 2)*(q - 1)/7
Let w(q) be the second derivative of -2*q - 13/8*q**2 - 75 - 9/16*q**3 - 1/96*q**4. Solve w(z) = 0.
-26, -1
Find r, given that -788/7*r - 4/7*r**2 - 1560/7 = 0.
-195, -2
Let d(w) = w**4 + 7*w**2 + 1. Let k(q) = 11*q**4 + 28*q**3 - 63*q**2 + 80*q + 7. Let y(j) = -7*d(j) + k(j). Let y(a) = 0. What is a?
-10, 0, 1, 2
Let p = 2717/32460 + -1/2705. Let l(a) be the third derivative of 10*a**2 + 0 - 1/30*a**5 - p*a**4 + 0*a + 2/3*a**3. Factor l(u).
-2*(u - 1)*(u + 2)
Factor 0*a - 26*a**4 - 14*a**4 + 30*a**3 - 5*a - 143934*a**5 + 143949*a**5.
5*a*(a - 1)**3*(3*a + 1)
Let d(w) be the third derivative of 46*w + w**2 - 1/27*w**4 + 1/1512*w**8 - 1/60*w**6 + 11/270*w**5 + 0 + 0*w**3 + 1/945*w**7. Determine g so that d(g) = 0.
-4, 0, 1
Solve -792 + 996*o - 15*o**4 + 19681*o**3 - 436*o**2 + 11*o**4 - 19605*o**3 = 0 for o.
2, 3, 11
Let t = -796 + 800. Let q(r) be the second derivative of 0 - 4/11*r**2 - 23*r + 1/66*r**t + 4/33*r**3 - 1/110*r**5. What is v in q(v) = 0?
-2, 1, 2
Let m(n) be the first derivative of -2*n**3/15 - 2514*n**2/5 - 3160098*n/5 + 6090. Factor m(a).
-2*(a + 1257)**2/5
Let -58*v**4 - 39*v**4 - 77*v**4 - 18*v**4 - 540 + 47*v**4 + 15*v**5 - 1440*v + 645*v**2 + 265*v**3 = 0. Calculate v.
-2, -1/3, 3, 6
What is k in k + 0 - 1/9*k**3 - 8/9*k**2 = 0?
-9, 0, 1
Let a(m) be the second derivative of -m**4/54 + 1283*m**3/27 + 428*m**2/3 + 1127*m - 1. Suppose a(q) = 0. Calculate q.
-1, 1284
Factor 9 - u - 3/2*u**3 + 1/4*u**4 - 27/4*u**2.
(u - 9)*(u - 1)*(u + 2)**2/4
Let x = 101 + -98. Factor d - d**4 + 83*d**x + 83*d**3 - 167*d**3 + d**2.
-d*(d - 1)*(d + 1)**2
Let v(l) be the third derivative of -l**6/1080 - 47*l**5/540 + 2*l**4/9 - 2539*l**2. Factor v(g).
-g*(g - 1)*(g + 48)/9
Suppose -2784*v + 382*v = 1184*v - 418*v - 6336. Factor 0 + 1/5*f**v - 18/5*f.
f*(f - 18)/5
Let w(r) be the second derivative of 81*r**5 + 510*r**4 + 4025*r**3/6 + 735*r**2/2 - 349*r - 3. Factor w(d).
5*(d + 3)*(18*d + 7)**2
Find k, given that -2/7*k**4 + 48/7*k - 8/7*k**2 - 12/7*k**3 + 64/7 = 0.
-4, -2, 2
Let j = 719 - 717. Suppose -j*r**2 + 45*r - 30*r - r**2 - 5 + 5 = 0. Calculate r.
0, 5
Solve 43*z**2 - 90*z**3 - 133*z + 123*z**2 - z**5 + 223 + 19*z**4 + 0*z**5 - 184 = 0 for z.
1, 3, 13
Let r be (-832)/156*246/4. Let t be 10/2*(r/40 - -9). Let -114/5*f**3 - 2*f**5 - 64/5*f**t + 0 + 0*f - 36/5*f**2 = 0. Calculate f.
-3, -2/5, 0
Let i = 246061/12 - 20505. Let r(v) be the second derivative of 3/2*v**3 + 31*v + 4*v**2 + i*v**4 + 0. Factor r(d).
(d + 1)*(d + 8)
Let g(v) = v**4 - v**2 + 6*v - 6. Let d(j) = 16 + 6*j**2 + 3*j**4 - j**4 + 11*j + 0*j**4 - 8*j**2 - 27. Let m(y) = 6*d(y) - 11*g(y). Factor m(k).
k**2*(k - 1)*(k + 1)
Solve 131*j + 654/5 + 1/5*j**2 = 0.
-654, -1
Let c(f) be the second derivative of f**7/70 - 2*f**6/45 + f**5/30 + 9*f**3 + 4*f - 3. Let n(v) be the second derivative of c(v). Factor n(l).
4*l*(l - 1)*(3*l - 1)
Let l = -69/719 + 22467/9347. Find z, given that -144/13*z - l*z**2 - 2/13*z**3 - 216/13 = 0.
-6, -3
Let c be (-20)/70 - (-594)/21. Let y be 26/7 + 8/c. What is w in -2*w**5 - 12*w**3 -