(q) = q**3 + 10*q**2 + 8*q - 11. Let d be g(-9). Let j be ((-65)/d)/13*2. Factor 3/7*t**4 - 3/7*t**3 + 0*t + 1/7*t**2 - 1/7*t**j + 0.
-t**2*(t - 1)**3/7
Let a be 7774/(-90) + (-12)/30. Let m = 87 + a. Factor 0 - m*k**2 + 0*k.
-2*k**2/9
Let k(y) be the third derivative of 0 - 1/40*y**6 + 51*y**2 + 0*y**5 + 3*y**3 + 0*y + 7/8*y**4. Factor k(f).
-3*(f - 3)*(f + 1)*(f + 2)
Let b(g) be the third derivative of 0*g**3 + 4*g + 0 + 5/24*g**6 + 5/12*g**4 - 7/12*g**5 - 5*g**2. Let b(o) = 0. Calculate o.
0, 2/5, 1
Let w = 76/217 + -2/31. Let q be 156/60 - (-14)/35. Factor 4/7*g**q - 8/7*g + w*g**2 - 6/7.
2*(g + 1)**2*(2*g - 3)/7
Let q = 50/1789 + -1762365/7156. Let w = q + 247. Find f such that -3/2 + w*f**4 - 9/4*f**3 + 9/4*f + 3/4*f**2 = 0.
-1, 1, 2
Suppose 19*g - 16*g + 2*b = 0, 0 = g - 3*b. Let r(s) be the third derivative of 0*s**4 - 5*s**2 + 1/2*s**3 + 0*s + g - 1/20*s**5. Solve r(u) = 0 for u.
-1, 1
Let r(n) = n**3 + 10*n**2 + 9*n + 220. Let b be r(-11). What is v in 74/7*v**3 + 48/7*v + b - 148/7*v**2 - 10/7*v**4 = 0?
0, 2/5, 3, 4
Let t(c) be the first derivative of -1/4*c**6 + 27/4*c**4 - 15*c + 109/4*c**2 + 1/5*c**5 - 22*c**3 + 191. What is b in t(b) = 0?
-5, 2/3, 1, 3
Let y(t) be the second derivative of 5*t**6/54 + 31*t**5/18 + 1261*t**4/108 + 310*t**3/9 + 50*t**2 - 4*t + 129. Factor y(d).
(d + 5)**2*(5*d + 6)**2/9
Let u be (-84)/(-39) + (48/78)/(-4). Factor 1/2*x**4 + 0 + 0*x + 0*x**u + 0*x**3.
x**4/2
Let q be (-1056)/(-990) - 186/279. Factor 28/5 + 6*j + q*j**2.
2*(j + 1)*(j + 14)/5
Let y(p) = 8*p**2 + 42*p - 182. Let m(w) = -29*w**2 - 128*w + 547. Let r(z) = 4*m(z) + 14*y(z). Factor r(c).
-4*(c - 10)*(c - 9)
Suppose -i + 4*s = -4*i + 17, -3*s = -3*i + 3. Let g be (-12 - -6) + 0 - -8. Factor -2*f + 12*f**3 - 7*f**3 - 7*f**i + 4*f**g.
-2*f*(f - 1)**2
Suppose 0 = i - 4*w + 7 + 11, 27 = i + 5*w. Let r(a) be the third derivative of -18*a**i + 0 - 2/5*a**3 - 1/10*a**4 - 1/100*a**5 + 0*a. Factor r(o).
-3*(o + 2)**2/5
Let h(i) be the third derivative of 0 + 0*i + 67*i**2 + 19/450*i**5 - 59/180*i**4 + 2/15*i**3. Factor h(o).
2*(o - 3)*(19*o - 2)/15
Let p(a) = -a**3 - 17*a**2 - 76*a - 34. Let f be p(-9). Let y(k) be the first derivative of -1/10*k**4 + 2/5*k - 29 - 3/5*k**f + 2/5*k**3. Factor y(r).
-2*(r - 1)**3/5
Solve 12/5*g**5 + 33/5*g**2 + 0 - 33/5*g**4 - 21/5*g**3 + 9/5*g = 0 for g.
-1, -1/4, 0, 1, 3
Let r(b) be the second derivative of -b**5/70 - 25*b**4/42 - 8*b**3 - 144*b**2/7 + 4*b + 607. Factor r(q).
-2*(q + 1)*(q + 12)**2/7
Let j(x) = 19*x**2 + 61*x + 42. Let q = 16 - 10. Let s(z) = -3*z**2 - 10*z - 7. Let v(l) = q*j(l) + 39*s(l). Factor v(k).
-3*(k + 1)*(k + 7)
Let y(b) = 14*b**3 + 40*b**2 - 184*b + 204. Let s(m) = -26*m**3 - 81*m**2 + 372*m - 410. Let g(q) = 6*s(q) + 11*y(q). Suppose g(o) = 0. What is o?
-27, 2
Let r(i) = -5*i**3 + 412*i**2 - 9631*i + 61262. Let o(w) = 10*w**3 - 822*w**2 + 19261*w - 122522. Let m(l) = -6*o(l) - 11*r(l). Find v, given that m(v) = 0.
10, 35
Factor -2272/5*o - 454 - 2/5*o**2.
-2*(o + 1)*(o + 1135)/5
Let n(w) be the second derivative of 5*w**4/12 + 10*w**3/3 - 150*w**2 - 34*w - 18. Find s such that n(s) = 0.
-10, 6
Let o(i) be the third derivative of i**7/560 + 15*i**6/64 + 99*i**5/20 + 575*i**4/16 + 126*i**3 - 5258*i**2. Find z such that o(z) = 0.
-63, -8, -2
Let 91/2*v**2 - 2 - 363/2*v = 0. What is v?
-1/91, 4
Find l, given that -29*l**4 + 12*l**4 - 79*l**4 - 10*l**5 + 648*l - 274*l**2 - 50*l**3 + 1390*l**2 - 432 = 0.
-6, -1, 2/5, 3
Let h(g) be the second derivative of 9/10*g**2 + 1/2*g**3 + 1/20*g**4 + 84*g - 3/100*g**5 - 2. Suppose h(j) = 0. What is j?
-1, 3
Let k(b) be the second derivative of 243*b**5/20 + 1035*b**4/4 - 1300*b**3 + 2250*b**2 + b + 766. Find p such that k(p) = 0.
-15, 10/9
Let h be 14/(-4)*(-11)/154*8. Factor 112*t + 51*t**2 - 7*t**h - 3*t**3 + 16 - 49*t**3.
-4*(t - 2)*(t + 1)*(13*t + 2)
Let u be ((-3)/(-9))/((-2)/(-30)). Factor -6*h - 8*h - u*h**2 + 28*h + 31*h + 50.
-5*(h - 10)*(h + 1)
Let k = 196 - 191. Let k*u**4 - 3*u**3 + u**2 + 0*u - u + 2*u**2 - 4*u**4 = 0. Calculate u.
0, 1
Let o = 1100487/6176170 + 3/21595. Let m = o - -1/286. Solve -m*a**3 + 2/11*a - 2/11*a**2 + 2/11 = 0.
-1, 1
Let k = -714 + 706. Let r be (32/(-28))/(k + 204/28). Suppose -2/5 + r*f - 6/5*f**2 = 0. What is f?
1/3, 1
Factor 1/5*l**2 - 2/5*l + 1/5.
(l - 1)**2/5
Let o be ((-36)/(-21))/(6/((-336)/(-2))). Let -4*v**5 - o*v + 32 - 59*v**2 + 17*v**3 + 11*v**3 + 51*v**2 = 0. Calculate v.
-2, 1, 2
Let d(i) be the second derivative of i**7/2520 - i**6/360 + 19*i**4/4 - 2*i - 8. Let p(r) be the third derivative of d(r). Let p(b) = 0. Calculate b.
0, 2
Let n(m) be the third derivative of m**6/840 - 4*m**5/105 - 17*m**4/168 + 239*m**2. Factor n(u).
u*(u - 17)*(u + 1)/7
Let f(z) = z + 24. Let x be f(-22). Solve x*t**4 + 15*t**2 + 15*t**2 + 26*t + 8 - 36*t**3 + 50*t**3 = 0.
-4, -1
Factor 0*h**2 - 3*h**2 - 55581907 - 27984*h - 9676781.
-3*(h + 4664)**2
Let k(f) be the third derivative of -f**7/13860 - f**6/3960 + f**5/330 - 13*f**4/6 - f**2 + 40. Let n(g) be the second derivative of k(g). Factor n(v).
-2*(v - 1)*(v + 2)/11
Let u(q) = q**2 - 20*q + 53. Let l be u(17). Factor 30*z - 543*z**2 + 1085*z**2 - 543*z**l.
-z*(z - 30)
Factor 1847*l**3 - 455*l**2 + 11236 - 1845*l**3 + 247*l**2 + 5194*l.
2*(l - 53)**2*(l + 2)
Suppose 15 = -12*c + 135. Let j be 4/c*(-20)/(-4). Factor -i**2 + 1 - 4*i**j - 11 + 15*i.
-5*(i - 2)*(i - 1)
Let s(i) be the second derivative of -i**5/100 + i**4/15 + 22*i**3/15 - 48*i**2/5 - 482*i. Solve s(r) = 0.
-6, 2, 8
Let l(y) be the first derivative of y**4/4 - 10*y**3 + 13*y**2 + 89*y + 45. Let x be l(29). Factor -10/3*i - 5/6*i**x + 25/6.
-5*(i - 1)*(i + 5)/6
Let h(x) be the first derivative of -3/2*x**3 - 1/2*x**4 - 1/20*x**5 - 3*x + 0*x**2 - 25. Let m(k) be the first derivative of h(k). Let m(i) = 0. Calculate i.
-3, 0
Let c = -153 + 157. Find m, given that 242*m**3 - 47*m - 22 + 58 - 226*m**3 - m - 8*m**2 + 4*m**c = 0.
-3, 1
Let u(a) be the third derivative of a**7/42 - a**6/3 - a**5/12 + 5*a**4/3 + 1034*a**2. Determine x so that u(x) = 0.
-1, 0, 1, 8
Let u(q) = -q**3 + 6*q**2 + 7*q + 5. Let b be u(7). Let y(x) = 2*x - 8. Let i be y(b). Find n, given that -25 + 56 + i*n**2 + 3*n - 33 = 0.
-2, 1/2
Let l(v) be the second derivative of 0*v**2 + 47/120*v**6 - 5/168*v**7 - 5 + 0*v**4 - 9/40*v**5 + 0*v**3 + 16*v. Factor l(k).
-k**3*(k - 9)*(5*k - 2)/4
Let r(m) be the third derivative of -6*m**2 - 4/15*m**4 - 19/300*m**6 - 3/350*m**7 - 4 + 91/300*m**5 - 2/5*m**3 + 0*m. Find s, given that r(s) = 0.
-6, -2/9, 1
Let m(j) be the third derivative of j**8/42 + 2*j**7/15 - j**6/6 - 4*j**5/15 - 2*j**2 + 1801. Solve m(s) = 0.
-4, -1/2, 0, 1
Let x(v) be the first derivative of -4/3*v**3 - 1/2*v**4 + 0*v**2 + 0*v + 53. Factor x(s).
-2*s**2*(s + 2)
Find k, given that -64*k**2 - 5 + 7 - 12*k + 154*k**2 - 15*k**3 - 54*k**3 - 26 + 15*k**4 = 0.
-2/5, 1, 2
Suppose 0 = 33215*o - 33145*o - 210. Solve 16/5*n**2 + 12/5*n - 4/5*n**5 - 16/5*n**4 + 0 - 8/5*n**o = 0 for n.
-3, -1, 0, 1
Let x(n) = 737*n + 36853. Let g be x(-50). Determine c so that 0*c + 0 - 17/5*c**2 + 1/5*c**g = 0.
0, 17
Let h(v) = 27*v**2 + 5625*v + 11256. Let k(g) = -g**2 - 201*g - 402. Let d(m) = -2*h(m) - 57*k(m). Factor d(s).
3*(s + 2)*(s + 67)
Let y(v) be the third derivative of 0*v**3 + 0*v - 1/240*v**6 + 4*v**2 + 1/2016*v**8 + 1/18*v**4 + 1/315*v**7 - 1/36*v**5 - 2. Solve y(a) = 0 for a.
-4, -2, 0, 1
Let o(u) = 3*u**3 + 23*u**2 - 6*u + 18. Let n be o(-8). Let r**5 + 24*r**3 - 9*r**4 + 18*r**4 + r**5 + 16*r**n - r**5 = 0. What is r?
-4, -1, 0
Find k such that 0*k**2 + 0 + 2/7*k**3 - 8/7*k = 0.
-2, 0, 2
Suppose 173*c - a - 7 = 179*c, 23 = 2*c - a. Factor 0 - 1/8*i**3 - 1/4*i**c + i.
-i*(i - 2)*(i + 4)/8
Let l(z) be the first derivative of 2*z**3/21 + 73*z**2/7 - 88*z - 627. Factor l(c).
2*(c - 4)*(c + 77)/7
Let c = -93894 + 93894. Let -2/7*j**3 + c + 4/7*j + 2/7*j**2 = 0. What is j?
-1, 0, 2
Suppose -10*j + 1102 = -1458. Suppose 4*a - 2*g - g + 7 = 0, 4*g - 12 = 4*a. Determine l, given that -135*l + j*l**2 - 31*l**2 + 22 - 5*l - a = 0.
2/9, 2/5
Let b = 35036 - 35034. Find w, given that 0 + 0*w - 3/2*w**3 - 1/2*w**4 + b*w**2 = 0.
-4, 0, 1
Let p(a) be the second derivative of a**6/30 + 19*a**5/4 + 703*a**4/4 - 7007*a**3/6 + 2401*a**2 - 3*a - 34. Solve p(i) 