x be (34/(-51 + 17))/(-3). What is i in x*i**3 - 1/3*i**2 + 0 - 2*i = 0?
-2, 0, 3
Let f = -67 + 75. Let l be (-8 - -1)*(f/14 + -1). Let 5*v**3 - 15*v**2 - 2*v**l + 30*v**2 - 18*v = 0. What is v?
-6, 0, 1
Let c(l) be the third derivative of l**8/1008 - 4*l**7/315 - 11*l**6/120 - l**5/45 + 11*l**4/18 - 1090*l**2. Find a, given that c(a) = 0.
-2, 0, 1, 11
Let f(g) = 366*g**2 - 59184*g - 62506766. Let x(m) = -55*m**2 + 8455*m + 8929538. Let q(y) = -3*f(y) - 20*x(y). Find s such that q(s) = 0.
-2113
Let 3361*g**2 - 3021*g - 13*g**4 + 54*g**4 - 15*g**4 - 25*g**4 - 6498 - 118*g**3 + 3*g**3 = 0. Calculate g.
-1, 2, 57
Factor 0 - 1/7*b**5 - 11/7*b**3 - 5/7*b**2 + 0*b - b**4.
-b**2*(b + 1)**2*(b + 5)/7
Let t(k) be the third derivative of 5*k**9/3024 + k**8/84 + 5*k**7/168 + k**6/36 + 11*k**3/3 - 39*k**2. Let a(c) be the first derivative of t(c). Factor a(f).
5*f**2*(f + 1)**2*(f + 2)
Let i(p) be the first derivative of 3*p**4/4 + 50*p**3 - 993*p**2/2 + 840*p + 1880. Factor i(s).
3*(s - 5)*(s - 1)*(s + 56)
Let h(g) be the third derivative of 11*g - 1/240*g**6 - 7/48*g**4 + 0 + 1/4*g**3 + 3*g**2 + 1/24*g**5. Factor h(x).
-(x - 3)*(x - 1)**2/2
Let k(o) = -7*o**4 - 11*o**3 - 6*o. Let g(x) = -x**4 - x**3 - x. Let h = 314 + -320. Let m(f) = h*g(f) + k(f). What is n in m(n) = 0?
-5, 0
Let c(a) = -11*a**2 + 460*a - 1409. Let w(g) = 2*g**2 - 92*g + 282. Let d(t) = 3*c(t) + 16*w(t). Factor d(y).
-(y - 3)*(y + 95)
Suppose j - 3 = -v, 5*v - 5 = 5*j - 0*j. Factor -1236 + 275 + 29*y + 33*y + 14171*y**2 - 14172*y**v.
-(y - 31)**2
Let o(s) be the first derivative of s**6/2 - 3*s**5/5 - 951*s**4/4 - 783*s**3 + 40824*s**2 + 428652*s - 2492. Solve o(v) = 0.
-9, 14
Factor 15/2*u**2 - 3/2*u**3 + 153*u - 324.
-3*(u - 12)*(u - 2)*(u + 9)/2
Suppose 216 = 159*u - 738. Let d(o) be the third derivative of 5/24*o**4 - 1/42*o**7 + 1/12*o**5 - 1/24*o**u + 0 + 0*o**3 + 23*o**2 + 0*o. Factor d(v).
-5*v*(v - 1)*(v + 1)**2
Let d(h) = h**2 - 200*h + 7602. Let q be d(149). Let 0 + 136/3*f**2 - 155/3*f**q - 25/3*f**4 - 28/3*f = 0. What is f?
-7, 0, 2/5
Let x(w) = 49*w**3 - 827*w**2 + 3325*w - 3382. Let q(h) = 22*h**3 - 413*h**2 + 1663*h - 1690. Let v(s) = 11*q(s) - 5*x(s). Suppose v(d) = 0. Calculate d.
-140, 2
Let u(f) be the first derivative of -32*f + 106 + 4/3*f**3 + 4*f**2. Find w, given that u(w) = 0.
-4, 2
Suppose 518*d = 475*d + 86. Let c(k) = 5*k - 2. Let q be c(1). Factor 6 + 12*m + 3/2*m**q + 15/2*m**d.
3*(m + 1)*(m + 2)**2/2
Let i be (0 + (-4 - 1))/((-7390)/4434). Determine g, given that -5/4*g**i - 5/4*g**2 + g + 1 + 1/4*g**4 + 1/4*g**5 = 0.
-2, -1, 1, 2
What is q in -119*q + 3*q**3 + 638*q + 3566 + 180*q**2 - 3224 = 0?
-57, -2, -1
Let o be 25/14 + (-17)/((-578)/(-51)). Solve 13/7*d**2 + o*d + 0 = 0 for d.
-2/13, 0
Let k(w) be the second derivative of w**4/6 - 43*w**3 + 620*w**2 - 4*w + 123. Let k(b) = 0. What is b?
5, 124
Let a(k) = 2*k**2 - 68*k - 62. Suppose 29 = -16*u + 93. Let c(j) = -3*j**2 + 70*j + 63. Let w(o) = u*c(o) + 5*a(o). Find s, given that w(s) = 0.
-29, -1
Factor -160/3 - 200/3*g + 10/3*g**3 - 20*g**2 + 5/3*g**4.
5*(g - 4)*(g + 2)**3/3
Let o(s) be the third derivative of -105*s**2 - 2/25*s**5 + 0 + 0*s**3 + 0*s + 2/15*s**4 + 1/50*s**6 - 1/525*s**7. Factor o(h).
-2*h*(h - 2)**3/5
Let j(q) be the second derivative of -q**7/6300 + 2*q**6/225 - 16*q**5/75 - 19*q**4/12 - 13*q + 2. Let p(x) be the third derivative of j(x). Factor p(y).
-2*(y - 8)**2/5
Let j(i) be the third derivative of i**6/200 - 39*i**5/100 + 27*i**4/10 + 1560*i**2. What is z in j(z) = 0?
0, 3, 36
Suppose -3*i + o + 6 + 7 = 0, 2*i - 18 = -4*o. Suppose 17 + 43 = i*g. Determine y, given that 3/4*y**3 + 27/4*y**2 + g + 18*y = 0.
-4, -1
Let w(l) be the first derivative of -4*l**5/5 - 2*l**4 + 212*l**3/3 - 180*l**2 + 703. Suppose w(t) = 0. What is t?
-9, 0, 2, 5
Let f = -277 - -271. Let t(g) = -26*g**2 - 95*g + 36. Let w(z) = 9*z**2 + 33*z - 12. Let c(q) = f*t(q) - 17*w(q). Factor c(p).
3*(p - 1)*(p + 4)
Let m(c) be the second derivative of 441/8*c**2 + 0 - 41/48*c**4 - 1/80*c**5 - 133/8*c**3 + 129*c. Factor m(s).
-(s - 1)*(s + 21)**2/4
Let t(z) be the second derivative of 54*z**2 + 2 - 84*z**3 + 1/2*z**7 - 12*z - 37/10*z**6 + 51/20*z**5 + 145/4*z**4. Determine v so that t(v) = 0.
-2, 2/7, 1, 3
Let h(t) be the third derivative of t**6/120 - 3*t**5/8 - 2*t**4 - 7*t**3/3 - 2*t**2 + 6*t. Let v(g) be the first derivative of h(g). Find x such that v(x) = 0.
-1, 16
Let q = -212917 + 212921. Let g(f) = -f + 10. Let b be g(8). Factor 0*y + 0 - 12*y**b - 3/4*y**q + 6*y**3.
-3*y**2*(y - 4)**2/4
Let v(g) be the third derivative of 7*g**6/60 + 10*g**5/3 - 77*g**4/12 - 10*g**3 - 982*g**2. What is h in v(h) = 0?
-15, -2/7, 1
Factor 0 - 2/7*a**2 + 22/7*a + 2/7*a**4 - 22/7*a**3.
2*a*(a - 11)*(a - 1)*(a + 1)/7
Suppose 5*p + d = 20, -2*p + 2*d + 2*d = 14. Let z be 2/p - (-78)/(-144). Factor 3/8*j**2 + z*j**3 + 0 + 1/4*j.
j*(j + 1)*(j + 2)/8
Let l(p) be the third derivative of -p**7/70 - 443*p**6/200 - 8517*p**5/100 + 58703*p**4/40 - 2209*p**3 + 2*p**2 + 631. Find c such that l(c) = 0.
-47, 2/5, 5
Let d = -3453 + 51796/15. Let n(p) be the second derivative of -2*p - 1/50*p**5 + d*p**3 + 2/5*p**2 + 0 - 1/15*p**4. Solve n(r) = 0.
-2, -1, 1
Let w(r) = r**2 + 9*r - 34. Let v be w(-12). Determine t so that -558*t**3 + t**v + 560*t**3 - 3*t**2 = 0.
0, 1
Suppose -1883*j**2 - 644 - 1617*j + 5807*j - 116 + 1828*j**2 = 0. What is j?
2/11, 76
Let 420 + 1/4*s**2 - 421/2*s = 0. Calculate s.
2, 840
Let d be 576/(-168)*49/2. Let b be ((-8)/(-14))/((-30)/d). Factor b - 1/5*o**2 + 7/5*o.
-(o - 8)*(o + 1)/5
Let c(v) be the first derivative of 2*v**3/5 - 1014*v**2/5 + 1528. Factor c(f).
6*f*(f - 338)/5
Factor 747*w - 1035*w**4 - 560*w**2 + 1040*w**4 - 27*w - 59*w**3 - 106*w**3.
5*w*(w - 36)*(w - 1)*(w + 4)
Let v(l) = -4*l + 14. Let p be v(3). Let y be (1 + -1)/(p + -15 + 12). Solve 0*g - 2/13*g**5 + 0*g**2 - 2/13*g**3 + 4/13*g**4 + y = 0 for g.
0, 1
Let f(v) = -12*v**3 + 3*v**2 - 22*v + 1. Let x be f(3). Let n = 364 + x. Factor -2/3*r**3 + 8/5*r**n - 6/5*r + 4/15.
-2*(r - 1)**2*(5*r - 2)/15
Let k(v) be the first derivative of v**4/18 + 2*v**3/9 - 64*v**2/9 + 40*v/3 + 363. Factor k(g).
2*(g - 6)*(g - 1)*(g + 10)/9
Suppose 4455 = -19*b + 275. Let z be b/352 + 3/4. Factor 11/8*r**3 + 1/2*r**4 + 9/8*r**2 + 1/8*r - z.
(r + 1)**3*(4*r - 1)/8
Suppose -330*u = -332*u + 6. Suppose -30 = -k + 3*z - 17, 0 = -u*k + 2*z + 18. Find v, given that -4/7*v**5 + 16/7*v**2 + 0 + 16/7*v**3 + 0*v - 4/7*v**k = 0.
-2, -1, 0, 2
Let a(h) = -5*h**2 - 83*h - 430. Let j(t) = t**2 + 2*t + 4. Let l(o) = a(o) + 4*j(o). Let p be l(-6). Let -2/9*c**2 + 0*c - 1/9*c**3 + p = 0. Calculate c.
-2, 0
Let f(r) be the third derivative of -3/20*r**3 - 13/120*r**4 - 17*r - 1/200*r**6 - 1/25*r**5 - 3*r**2 + 0 + 1/2100*r**7. Suppose f(z) = 0. Calculate z.
-1, 9
Let p = -8 + 48. Let h = 42 - p. Factor 15*k - 21*k + 2*k**3 + h*k**5 - 16*k**2 - 14*k**3.
2*k*(k - 3)*(k + 1)**3
Let i(w) be the second derivative of -w**6/30 - 3*w**5/4 - 19*w**4/6 - 4*w**3 + 801*w. Suppose i(f) = 0. Calculate f.
-12, -2, -1, 0
Let c(v) be the third derivative of -v**6/30 - 1413*v**5/5 - 1996569*v**4/2 - 1880767998*v**3 - 3721*v**2. Factor c(d).
-4*(d + 1413)**3
Factor -43 + 42*y - 1/4*y**3 - 39/4*y**2.
-(y - 2)**2*(y + 43)/4
Suppose -55*h + 364 = -42*h. Factor 4*f + 44*f + 333*f**2 + 47*f**2 + 196*f**4 + 700*f**3 - h*f**2.
4*f*(f + 3)*(7*f + 2)**2
Let s be (-3)/10 - 9513/(-1510). Let r(p) be the second derivative of 1/135*p**s - 6*p + 1/54*p**4 - 1/9*p**3 + 0 + 1/30*p**5 - 2/9*p**2. Factor r(c).
2*(c - 1)*(c + 1)**2*(c + 2)/9
Let g(o) be the third derivative of o**6/660 + o**5/66 + o**4/33 - 276*o**2. Factor g(k).
2*k*(k + 1)*(k + 4)/11
Let u be 2/(-6) - -2 - 4061/2511. Let i = u + 428/81. Let -16/3 - 4/3*s**2 + i*s = 0. What is s?
2
Suppose -16*y - v = -9*y - 18, y - 5*v + 18 = 0. Suppose -4*c - 8 = -c - y*b, -4*c = 4*b - 16. Factor 1/2*s - 1/6*s**2 + c.
-s*(s - 3)/6
Let t(u) = -u**2 - 3*u + 5. Let j be t(-3). Determine q so that -3 + 19*q**3 + 22*q**3 - q**5 - 3*q**4 - 3*q - 57*q**3 + 22*q**3 - 2*q**j + 6*q**2 = 0.
-1, 1
Let v(k) = 25*k**2 - 35*k - 71. Let y(z) = 11*z**2 - 18*z - 36. Let i = 152 - 161. Let x(w) = i*y(w) + 4*v(w). Solve x(b) = 0.
-20, -2
Let k(z) = z**2 - 13*z + 1. Let l be k(13). Let 