*z**4 - 196000*z**3/3 + 37*z. Let l(x) = 0. What is x?
-4, 0, 140
Let o(v) be the first derivative of -35*v**4/2 + 2*v**3/3 + 35*v**2 - 2*v - 39. Determine n so that o(n) = 0.
-1, 1/35, 1
Let n(y) be the second derivative of y**6/135 - 2*y**5/9 + 22*y**4/9 - 320*y**3/27 + 256*y**2/9 + 10*y + 352. Determine j so that n(j) = 0.
2, 8
Let p(q) = 111*q**2 - 1371*q + 2640. Let b(s) = 12*s**2 - 5*s. Let l(u) = 9*b(u) - p(u). Factor l(h).
-3*(h - 440)*(h - 2)
Let s be 4/22 - (4 - (-1184)/(-22)). Let p be ((-45)/s)/(-3) - 10257/(-910). Factor -p - 18/7*u - 1/7*u**2.
-(u + 9)**2/7
Suppose 0 = 2624586*v - 2624516*v - 210. Factor -42/5*b**2 - 42/5*b - 8/5 - 8/5*b**v.
-2*(b + 1)*(b + 4)*(4*b + 1)/5
Let j(m) be the first derivative of -m**7/210 + m**6/60 + m**5/20 + 3*m**2 + 4*m - 34. Let u(d) be the second derivative of j(d). Factor u(c).
-c**2*(c - 3)*(c + 1)
Let o(f) = -f**3 + f**2 + 2*f + 2. Let w be o(0). Let s = 64 - 60. Solve s*h**w + 10*h - 3*h + 12 + 10*h - h = 0 for h.
-3, -1
Let a(i) be the first derivative of -2*i**3/27 - 188*i**2/9 + 776*i/3 + 10786. Factor a(g).
-2*(g - 6)*(g + 194)/9
Let f(i) = i**3 - 210*i**2 - 414*i - 215. Let l(n) = n**3 - 211*n**2 - 413*n - 217. Let u(x) = 4*f(x) - 3*l(x). Find s, given that u(s) = 0.
-1, 209
Let t = -140 + 137. Let u be 273/(-49) - -3 - t. Find n, given that -3/7 + 6/7*n - u*n**2 = 0.
1
Let n(r) be the first derivative of r**6/1440 - r**5/160 - r**4/24 - r**3/3 + 15*r**2/2 + 228. Let f(b) be the third derivative of n(b). Factor f(h).
(h - 4)*(h + 1)/4
Let s(i) = 31065*i + 62130. Let k be s(-2). Factor 8/3*v**2 + 0*v + 2/3*v**3 + k.
2*v**2*(v + 4)/3
Let z(t) be the third derivative of t**7/1260 - t**6/72 - 11*t**5/360 + 25*t**2 - 18. Let z(b) = 0. Calculate b.
-1, 0, 11
Suppose -32*t + 151 = -73. Let t*b**2 + 10*b**2 + 2*b**2 - 5*b**3 - 24*b**2 = 0. What is b?
-1, 0
Let y(u) = -u + 4 - 14 + 2*u + 5*u. Let z be y(2). Factor -3*s**z + 26*s + 3 - 55*s + 29*s.
-3*(s - 1)*(s + 1)
Let c(z) be the third derivative of -z**6/780 - 17*z**5/10 - 9130*z**4/13 + 110224*z**3/39 - 570*z**2. Factor c(q).
-2*(q - 1)*(q + 332)**2/13
Let o(z) be the second derivative of -2 - 5/84*z**4 + 0*z**2 + 43*z - 1/140*z**5 + 1/7*z**3. What is l in o(l) = 0?
-6, 0, 1
Let c = -839 + 841. Factor 20*i**3 - 42*i**5 + 20*i**5 + 21*i**5 + 132*i**c + 15*i**4 - 72*i - 94*i**3.
-i*(i - 6)**2*(i - 2)*(i - 1)
Let r = 75 + -56. Factor -7*t + 58*t**2 - r*t**2 - 19*t**2 + 10 - 19*t**2.
(t - 5)*(t - 2)
Let h = 12/64321 + 2122533/321605. Solve 0 + h*u**3 - 12*u + 3/5*u**4 + 24/5*u**2 = 0.
-10, -2, 0, 1
Let r(b) = 3*b**2 - 12*b + 14. Let i(s) = 109*s + 111. Let j be i(-1). Let c be r(j). Find z, given that 0*z - 1/4*z**5 - 1/2*z**c - 5/4*z**3 - z**4 + 0 = 0.
-2, -1, 0
Let d(n) = -n**4 + 7*n**3 - 13*n**2 + 25*n - 13. Suppose 35*b + 110 = 13*b. Let j(r) = -r**2 - r + 1. Let u(z) = b*j(z) - d(z). Factor u(v).
(v - 2)**3*(v - 1)
Suppose 0 = -16*n - 38*n + 378. Let c be n*3*(-5)/(-6). Factor -15*v + 5/2*v**2 - c.
5*(v - 7)*(v + 1)/2
Factor 39/4*v**2 - 15/4*v - 63/4 - 9/4*v**3.
-3*(v - 3)*(v + 1)*(3*v - 7)/4
Let 715/6*q**2 + 5/3 - 160/3*q**4 - 40*q**3 - 55/2*q = 0. Calculate q.
-2, 1/8, 1
Let q be (798/(-63))/19 - 49/(-24). Factor 1/8*j**2 + 3/2*j + q.
(j + 1)*(j + 11)/8
Factor -25*t**2 - 83794*t**4 + 84194*t**4 - 206*t**2 + 27*t**2 - 36*t - 160*t**3.
4*t*(t - 1)*(10*t + 3)**2
Let q(k) = 6*k**2 - 244*k + 241. Let d be q(1). Factor 1/4*m**5 + 2 + 7*m + 25/4*m**d + 2*m**4 + 19/2*m**2.
(m + 1)**2*(m + 2)**3/4
Let w be (5/(-500)*-10)/((-30)/(-16)). Let p = 18/25 - w. Suppose 0 + 2/3*n - p*n**2 = 0. What is n?
0, 1
Let c(k) = -k**3 - 1. Let m(j) = -7*j**3 - 3*j**2 - 6. Let y be (-1)/4 - (-11)/((-220)/(-105)). Let t(r) = y*m(r) - 30*c(r). Solve t(b) = 0.
-3, 0
Let w = -117794/21 + 39267/7. Factor w*z + 2/3*z**2 - 1/3*z**3 - 2/3.
-(z - 2)*(z - 1)*(z + 1)/3
Let y = -9/187 - -997/16830. Let c(h) be the third derivative of -1/45*h**5 + 0 - 2/9*h**4 + 8/9*h**3 + 0*h + y*h**6 - 31*h**2. What is r in c(r) = 0?
-2, 1, 2
Let t(f) = -25*f + 342. Let y be t(12). Let o be (7 - 258/y)/(30/56). Determine q, given that -6/5*q - o + 2/5*q**2 = 0.
-1, 4
Find j such that -39632*j**2 - 6390*j**3 + 13422*j**2 - 2*j**5 - 8882*j - 25683*j - 335*j**4 - 3*j**5 - 14415 = 0.
-31, -3, -1
Let n(t) be the first derivative of t**3/3 - 63*t + 166. Let f be n(-8). Find z such that f - 9/2*z + 2*z**2 = 0.
1/4, 2
Let c(b) be the first derivative of b**4/2 - 214*b**3/3 - 554*b**2 - 1344*b - 579. Factor c(s).
2*(s - 112)*(s + 2)*(s + 3)
Let v(g) be the first derivative of 18 + 9*g**3 + 15/2*g + 3/10*g**5 + 12*g**2 + 3*g**4. Determine j, given that v(j) = 0.
-5, -1
Factor 21*l**3 + 96*l**2 + 3/4*l**4 - 768*l + 0.
3*l*(l - 4)*(l + 16)**2/4
Suppose -24 = -d - 2*d. Suppose 8*o - 4*f + d = 4*o, -4*f = -20. Solve -6*q**2 - 4*q**3 - 4*q**o - 35*q**4 + 3*q**5 + 41*q**4 + 5*q**3 = 0.
-2, -1, 0, 1
Let k(b) = 43*b**4 - 2*b**3 - 55*b**2 - 10*b - 6. Let c(x) = -86*x**4 + 4*x**3 + 112*x**2 + 22*x + 13. Let f(w) = -6*c(w) - 13*k(w). Let f(t) = 0. What is t?
-1, 0, 2/43, 1
Let t = 21/92 - -25/92. Let d(r) be the second derivative of 0 - 3/20*r**5 + 0*r**4 + 0*r**2 - 2*r + t*r**3. Find m, given that d(m) = 0.
-1, 0, 1
Let y = 28 + -24. What is x in 4*x**4 - 5*x**y + x**2 + 4*x**2 - 4*x**3 = 0?
-5, 0, 1
Let s(k) be the third derivative of k**9/120960 - k**8/8064 + k**5/10 - k**3/6 - k**2 - 4. Let q(d) be the third derivative of s(d). Factor q(h).
h**2*(h - 5)/2
Suppose -v - 5*j + 96 = v, v = 3*j + 26. Suppose v = -7*m + 59. Let 0 + t**2 + 1/2*t + 1/2*t**m = 0. Calculate t.
-1, 0
Let k(o) be the first derivative of -1/2*o**4 + 2/15*o**5 + 0*o + 0*o**2 + 30 + 4/9*o**3. Factor k(x).
2*x**2*(x - 2)*(x - 1)/3
Let i be 10/(40/(-12)) + 7. Find o, given that -318 + 59*o - o**i + 508*o - 135*o + 7*o**3 - 144*o**2 + 13*o**3 - 114 = 0.
2, 6
Let o be (4 - 3)*(-1 - 4) - 17. Let q(g) = -g**3 - 22*g**2 + 3*g + 71. Let y be q(o). Factor 44/21*l**2 + 2/7 - 12/7*l**3 - 26/21*l + 2/3*l**4 - 2/21*l**y.
-2*(l - 3)*(l - 1)**4/21
Factor -8450 - 2/3*l**3 + 254/3*l**2 - 7670/3*l.
-2*(l - 65)**2*(l + 3)/3
Suppose 51 = 5*p + 4*n, -3*p - n + 39 = 7. Factor -g**3 + 7*g**3 - 5*g**3 - p + 10*g**2 - g + g**2.
(g - 1)*(g + 1)*(g + 11)
Factor 264*s + 0*s**2 + 5092582 - 5110006 - s**2.
-(s - 132)**2
Let k = -132676 - -132689. Factor 3*z - 4/3*z**4 - 26/3*z**2 + 0 - k*z**3.
-z*(z + 1)*(z + 9)*(4*z - 1)/3
Find j such that 512/3*j + 46 - 254/3*j**2 - 16/3*j**4 - 380/3*j**3 = 0.
-23, -3/2, -1/4, 1
Let d(f) be the first derivative of -28*f**5/5 - 86*f**4 - 1076*f**3/3 - 476*f**2 - 192*f + 438. Let d(v) = 0. Calculate v.
-8, -3, -1, -2/7
Let l(z) = -3*z**2 + 5745*z + 4147225. Let o(g) = 2*g**2 - 2871*g - 2073615. Let n(x) = -3*l(x) - 5*o(x). Factor n(y).
-(y + 1440)**2
Let r(t) = -t**2 + 15*t + 182. Let x(i) = -i - 2. Let q(c) = -r(c) + 6*x(c). Let d be q(-7). Factor 1/2*y**d + 1/2 - y.
(y - 1)**2/2
Let s(d) be the second derivative of 13*d**5/70 - 5*d**4/42 - 6*d**3/7 + 228*d + 4. Find f, given that s(f) = 0.
-1, 0, 18/13
Let q(k) = k**2 - 2*k + 18. Let w be q(4). Let f be (-1 - w)*(8 + -9). Solve l**4 - 2*l**4 - 26*l**5 + f*l**5 = 0.
0, 1
Let q(g) = g - 34. Let d be q(-6). Let z = -28 - d. Factor 3*m**3 - 10*m - 4*m**3 + 5*m**3 + 18*m - z*m**2.
4*m*(m - 2)*(m - 1)
Let o(y) be the second derivative of 2*y**7/105 - 4*y**6/25 + 18*y**4/5 - 54*y**3/5 - 5*y + 191. Determine p so that o(p) = 0.
-3, 0, 3
Let s(u) = u**2 - u - 2. Let y(h) = 9*h**2 - 13*h - 8. Let d = -288 - -287. Let g(z) = d*y(z) + 4*s(z). Factor g(v).
-v*(5*v - 9)
Let w(g) be the first derivative of 4*g**3/3 + 314*g**2 - 189. What is v in w(v) = 0?
-157, 0
Let i(y) be the third derivative of 0*y**4 - 1/210*y**7 + 0*y - 1/10*y**6 + 0*y**3 - 3/5*y**5 + 4 - y**2. Factor i(o).
-o**2*(o + 6)**2
Let n(o) be the second derivative of 1/54*o**4 + 247*o + 11/27*o**3 + 0 + 0*o**2. Let n(b) = 0. Calculate b.
-11, 0
Let d(a) be the second derivative of -a**5/20 - 5*a**4/2 - 42*a**3 - 324*a**2 + 3*a + 55. Factor d(w).
-(w + 6)**2*(w + 18)
Let c(h) be the second derivative of h**4/36 - 137*h**3/9 - 723*h. Factor c(o).
o*(o - 274)/3
Let 16408*z - 83812*z - 40*z**2 - 4*z**3 - 16*z**2 + 490*z**2 - 525532 + 634*z**2 = 0. Calculate z.
-7, 137
Let k(u) be the first derivative of 5*u**4/4 - 2240*u**3 + 1505280