/9
Let z(a) = 4*a**2 - 89*a + 15. Let l be z(22). Let k be 6/l*(-27)/(1053/182). Factor 0 + 0*b + 25/9*b**2 + 1/9*b**k - 10/9*b**3.
b**2*(b - 5)**2/9
Let k = -355 + 360. Suppose 3*a = -a + 80. Suppose -a + k*f**2 - 5*f + 0*f - 20*f - 10*f**2 = 0. Calculate f.
-4, -1
Factor -2/7*o + 2*o**2 + 2/7*o**3 - 2.
2*(o - 1)*(o + 1)*(o + 7)/7
Let m be 1*-4*(-86)/8. Let n = m + -38. Suppose a**5 - 10*a**2 + n*a**4 - 6*a**5 - 5*a + 10*a**3 + 184 - 179 = 0. What is a?
-1, 1
Suppose 6*c - 102 = -90. Solve c*w**2 + 0*w**2 + 0*w + 10 - 7*w + 8*w + 11*w = 0 for w.
-5, -1
Determine q, given that 11/2*q**2 - 31/10*q**4 - 7/10*q**5 - 3/2*q**3 - 12/5 + 11/5*q = 0.
-3, -2, -1, 4/7, 1
Let a(c) be the second derivative of 185*c**4/12 - 65*c**3/2 + 5*c**2 - 1416*c. Factor a(m).
5*(m - 1)*(37*m - 2)
Let t(v) be the second derivative of 0 + 2/9*v**3 + 67*v - 1/72*v**4 - 5/4*v**2. Factor t(x).
-(x - 5)*(x - 3)/6
Suppose 8 + 6 + 13 + 6*h**2 - 8 - 47*h - 68*h = 0. Calculate h.
1/6, 19
Let n(u) be the second derivative of 5*u**4/48 + 6845*u**3/12 + 9370805*u**2/8 - 4*u - 35. Factor n(h).
5*(h + 1369)**2/4
Suppose 6*h - 211 = -151. Let j(v) = -v + 4. Let t be j(-4). Find f such that -h*f - t*f**2 - 299 + 304 + 13*f**2 = 0.
1
Suppose -2*c = 14*c - 32. Determine l, given that -35*l + 128 + 3*l + 54*l**2 - 23*l**c - 29*l**2 = 0.
8
Let d(g) be the second derivative of -g**4/42 - 16*g**3/3 - 27*g + 6. Factor d(q).
-2*q*(q + 112)/7
Let d(m) = -m**2 - 3*m + 2. Let f be d(-3). Let p be 8/2 - ((-1036)/276 + 52/598 + 5). Factor 11/3*x**f - x**3 - p*x - 4/3.
-(x - 2)**2*(3*x + 1)/3
Let q(g) be the first derivative of -g**4/20 + 4*g**3/15 + g**2/2 - 12902. What is u in q(u) = 0?
-1, 0, 5
Suppose 3*v = 2*x + 51, 4*v + 98 - 186 = -4*x. Suppose -v*p - 100 = -100. Determine i so that 2*i**3 + p - 9*i - 3/2*i**2 + 1/2*i**4 = 0.
-3, 0, 2
Let n(x) = 6*x**3 + 129*x**2 + 138*x. Let w(f) = 2*f**3 + 64*f**2 + 68*f. Let l(b) = -2*n(b) + 5*w(b). Factor l(s).
-2*s*(s - 32)*(s + 1)
Let k = 266004 - 10641049/40. Let f = 128/5 + k. Let f*c**2 + 3/2 + 15/2*c = 0. What is c?
-2, -2/9
Let w = -4 + 6. Let m be 3*(-8)/(-72) - (16/(-21))/(-4). Factor -m*x + 1/7*x**w + 0.
x*(x - 1)/7
Let r = -88349/70 - -14397/10. Let v = r - 177. Determine h, given that 0 - v*h**5 + 0*h + 0*h**4 + 12/7*h**3 + 8/7*h**2 = 0.
-1, 0, 2
Solve 0 + 5/3*h**4 - 16*h - 16*h**3 - 140/3*h**2 = 0.
-2, -2/5, 0, 12
Let g(r) be the third derivative of -29*r**2 + 1/784*r**8 + 1/70*r**6 + 0 + 0*r + 0*r**5 + 0*r**3 + 0*r**4 - 2/245*r**7. What is x in g(x) = 0?
0, 2
Let q(g) be the first derivative of 3*g**4/20 - g**3/5 - 39*g**2/2 + 135*g - 2119. Factor q(f).
3*(f - 5)**2*(f + 9)/5
Let o(a) = -a**2 + 6*a - 12. Let f be o(2). Let n be (f - -8) + -1 + 20/(-15). Factor 5/3*d - d**2 - 1/3*d**4 + 4/3 - n*d**3.
-(d - 1)*(d + 1)**2*(d + 4)/3
Let k(j) = j**3 + 9*j**2 + 26*j + 51. Let x be k(-6). Let w(q) be the second derivative of 1/33*q**x + 0 - 1/66*q**4 + 0*q**2 - 8*q. What is c in w(c) = 0?
0, 1
Let j(p) be the third derivative of 1/12*p**6 - 11*p**2 + 0*p**4 + 3*p - 1/105*p**7 - 2/15*p**5 + 0 + 0*p**3. Factor j(g).
-2*g**2*(g - 4)*(g - 1)
Let b(w) = 4*w**3 + 63*w**2 - 124*w + 22. Let h(q) = 2*q**3 + 22*q**2 - 42*q + 8. Let n(u) = -2*b(u) + 7*h(u). Factor n(d).
2*(d - 1)*(d + 6)*(3*d - 1)
Let m(i) = 3696*i + 3700. Let y be m(-1). Factor -1/4*w**3 - 3/8*w**y + 0 + 7/8*w**2 - 1/4*w.
-w*(w - 1)*(w + 2)*(3*w - 1)/8
What is s in 0 + 111/2*s - 3/2*s**2 = 0?
0, 37
Let 89*i**2 - 1/2*i**5 - 8*i**4 + 0 + 68*i + 27/2*i**3 = 0. What is i?
-17, -2, -1, 0, 4
Let z = -42 - -56. Suppose 3*h - 11 = -p, -3*h - z = -3*p - p. Determine f so that f + 2*f - 6*f**4 + 12*f**h + 10*f**5 - 7*f**5 - 6*f**3 - 6 = 0.
-1, 1, 2
Factor 288*u + 4*u**3 - 6832 - 2941 + 1349 + 46*u**2 - u**3 - 5*u**3.
-2*(u - 18)**2*(u + 13)
Let t = 22 + -58. Let r = t - -40. Find c such that -24*c**3 + 3*c**r - 20*c + 2*c**4 + 64*c**3 + 5 - 2*c**2 - 20*c**5 - 8*c**2 = 0.
-1, 1/4, 1
Let k = 6192 - 6187. Let d(t) be the second derivative of -2/5*t**k + 20*t + 1/12*t**4 + 0*t**3 + 8/15*t**6 + 0*t**2 + 0. Factor d(h).
h**2*(4*h - 1)**2
Let g(m) be the first derivative of -m**4/2 - 10*m**3 - 14*m**2 - 9119. Find v such that g(v) = 0.
-14, -1, 0
Let j(x) be the second derivative of x**7/3360 - x**6/192 - 3*x**5/80 - 3*x**4/4 - x**3/6 - 8*x - 3. Let s(y) be the third derivative of j(y). Factor s(z).
3*(z - 6)*(z + 1)/4
Let h(k) be the second derivative of -4*k**5/15 - 85*k**4/6 - 14*k**3 - 73*k**2/2 + 4*k - 2. Let q(w) be the first derivative of h(w). Factor q(y).
-4*(y + 21)*(4*y + 1)
Let t(x) be the third derivative of 1/90*x**5 + 0 - 2*x**2 + 7*x + 0*x**3 - 1/36*x**4. Factor t(k).
2*k*(k - 1)/3
Let r(b) = b**2 + 9*b - 27. Let u be r(-9). Let j = -25 - u. Factor 15*m**3 - 1 + 6*m**4 + 5*m**j - m**4 - 15*m + 0*m - 9.
5*(m - 1)*(m + 1)**2*(m + 2)
Let k = -86 - -84. Let u(s) = -20*s**3 + 40*s**2 + 80*s - 169. Let l(t) = 5*t**3 - 10*t**2 - 20*t + 42. Let q(r) = k*u(r) - 9*l(r). Factor q(i).
-5*(i - 2)**2*(i + 2)
Let j(p) be the third derivative of -1/840*p**7 + 0*p**3 + 1/240*p**5 + 0 + 0*p + 1/96*p**4 - 1/480*p**6 + 191*p**2. Determine a, given that j(a) = 0.
-1, 0, 1
Let c(z) be the second derivative of -10*z**4/3 - 14465*z**3/6 + 2715*z**2 + 16*z + 203. Factor c(u).
-5*(u + 362)*(8*u - 3)
Let p(b) be the first derivative of -8/3*b**3 - 10*b - 1/4*b**4 - 17/2*b**2 + 41. Factor p(n).
-(n + 1)*(n + 2)*(n + 5)
Let x be 15*4*17/51. Factor -11*y + 22*y - 17*y - 3*y**2 - 108 - x*y - 19*y.
-3*(y + 3)*(y + 12)
Suppose -27*b - 12222 + 12276 = 0. Factor 10/7*y - 12/7 - 2/7*y**b.
-2*(y - 3)*(y - 2)/7
Let f = -2306 - -2309. Let u(n) be the second derivative of 1/14*n**7 + 3/20*n**5 + 16*n + 0 + 0*n**4 + 0*n**f + 1/5*n**6 + 0*n**2. Factor u(w).
3*w**3*(w + 1)**2
Let j(n) be the first derivative of 3*n**5/5 + 3939*n**4 + 10343814*n**3 + 13581427782*n**2 + 8916207338883*n + 6776. Factor j(a).
3*(a + 1313)**4
Let b be (-10)/(-1) + (1 - (-2 + 0)). Factor b*m**3 - 9*m**3 - 3*m**3 + 40 - 5*m**3 - 16*m**2 + 28*m.
-4*(m - 2)*(m + 1)*(m + 5)
Let l(t) = t**2 + 1652*t + 697231. Let h(j) = -4*j**2 - 6614*j - 2788922. Let z(o) = -3*h(o) - 11*l(o). Determine a so that z(a) = 0.
-835
Let j = -538 - -526. Let a be -1 + j/(-64)*78/9. Factor -1/8*y**2 - 3/4 + a*y.
-(y - 3)*(y - 2)/8
Let w(o) be the first derivative of -o**3/18 + 5*o**2/6 - 7*o/2 - 9130. Factor w(q).
-(q - 7)*(q - 3)/6
Factor 1/4*l**2 - 192*l + 36864.
(l - 384)**2/4
Suppose 3 = 2*z - 3*r, 5*r = 5*z - 0 - 10. Suppose z*t - 13 = -b, -2*t + b - 3*b + 14 = 0. Solve 3*u**3 + 2*u**4 - u - 2*u**2 + t*u - u**3 - 4*u = 0 for u.
-1, 0, 1
Let o(p) be the third derivative of -12*p**2 + 0*p**3 - 4*p + 0*p**5 + 0 + 1/180*p**6 + 0*p**7 - 1/72*p**4 - 1/1008*p**8. Factor o(h).
-h*(h - 1)**2*(h + 1)**2/3
Let m(x) = 2*x**2 - 30. Let h be m(4). Factor -4*q - 4*q**h + 50*q - 400 + 29*q + 5*q.
-4*(q - 10)**2
Let y(a) be the second derivative of -a**4/42 - 314*a**3/3 - 172543*a**2 + 12044*a. Factor y(g).
-2*(g + 1099)**2/7
Factor -505*q**3 - 736*q + 808*q**2 - 472*q**2 - 4*q**4 + 465*q**3 + 512.
-4*(q - 2)**3*(q + 16)
What is q in 8200*q**2 + 19*q**4 - 8230*q**2 + 4*q**3 - 3*q**5 + 17*q**3 - 7*q**4 = 0?
-2, 0, 1, 5
Let m(i) be the first derivative of i**6/120 - i**5/40 - i**4/4 - i**3/3 - 47*i + 9. Let n(a) be the third derivative of m(a). Find w such that n(w) = 0.
-1, 2
Let s(g) be the second derivative of g**6/300 - g**5/300 + 17*g**3/6 - 7*g**2/2 - 119*g. Let y(w) be the second derivative of s(w). Factor y(j).
2*j*(3*j - 1)/5
Let z(t) be the first derivative of t**4/18 + 368*t**3/27 + 980*t**2 + 7200*t + 2872. Determine d so that z(d) = 0.
-90, -4
Let j = 97833 - 97831. Factor 2/9*q**j + 2/9*q**4 - 14/3*q + 10/9*q**3 - 4.
2*(q - 2)*(q + 1)*(q + 3)**2/9
Let h(d) be the first derivative of 3*d**4/4 + 3768*d**3 + 7098912*d**2 + 5944155648*d + 5637. Suppose h(s) = 0. Calculate s.
-1256
Let n = -93 + 81. Let p be (-3 - n) + (-208)/24. Factor 1 - a**2 + 1/3*a - p*a**3.
-(a - 1)*(a + 1)*(a + 3)/3
Factor 86*p**2 + 942*p + 90*p**2 - 2142 + 76089 - 173*p**2.
3*(p + 157)**2
Let h(d) be the third derivative of -106/105*d**7 - 101*d**2 - 19/15*d**5 + 67/30*d**6 + 11/84*d**8 - d**4 + 0*d**3 + 0*d + 0. Determine n, given that h(n) = 0.
-2/11, 0, 1, 3
Let a(t) = 12*t**4 + 141*t**3 + 231*t**2 - 237*t.