3975 = 0.
-5, -1, 53
Let o(k) be the third derivative of -1/3*k**5 + 0*k**4 + 46*k**2 + 0 + 0*k + 0*k**3 - 1/24*k**6. Factor o(m).
-5*m**2*(m + 4)
Let r(f) = -6*f**3 - 2*f**2 - f. Let x be r(-1). Suppose -5*y = -4*z - 7, 0 = -4*z - 4*y - 15 + 35. Let -x*w**z + w**2 - 30*w - 45 - w**2 = 0. What is w?
-3
Let b = -66013 - -462111/7. Factor 6/7 + 24/7*z**2 + 2/7*z**4 + 12/7*z**3 + b*z.
2*(z + 1)**3*(z + 3)/7
Suppose -3632/3 + 4/3*c**2 - 3628/3*c = 0. Calculate c.
-1, 908
Factor 1/4*m**2 + 119*m + 14161.
(m + 238)**2/4
Let o(q) be the third derivative of q**8/168 + 4*q**7/105 - 127*q**6/60 - 191*q**5/15 + 237*q**4 - 1080*q**3 - 514*q**2. Suppose o(h) = 0. Calculate h.
-9, 2, 10
Let c(w) be the second derivative of -w**7/483 - 2*w**6/69 - 39*w**5/230 - 37*w**4/69 - 68*w**3/69 - 24*w**2/23 + 8745*w. Solve c(d) = 0 for d.
-3, -2, -1
Let j = -602 + 620. Let l be -4 - (32/(-24))/(4/j). Factor 8/9*c - 2/9*c**3 + 2/9*c**l - 8/9.
-2*(c - 2)*(c - 1)*(c + 2)/9
Let p = 24867/80 - 4967/16. Determine n so that -p*n**2 + 6/5*n**3 + 0 - 4/5*n - 2/5*n**5 + 2/5*n**4 = 0.
-1, 0, 1, 2
Let o(g) be the first derivative of g**3/7 - 9*g**2/2 + 324*g/7 + 3227. Factor o(l).
3*(l - 12)*(l - 9)/7
Let z = 233 + -243. Let j(m) = 2*m**2 - 7*m - 9. Let q = -7 - -1. Let k(n) = -n**2 + 4*n + 5. Let x(f) = q*j(f) + z*k(f). Factor x(u).
-2*(u - 2)*(u + 1)
Let c(i) be the third derivative of -i**8/1008 + 19*i**7/630 - 17*i**6/180 - 2659*i**2. Find q, given that c(q) = 0.
0, 2, 17
Let t(h) be the first derivative of h**4/16 + 79*h + 13. Let m(k) be the first derivative of t(k). Factor m(g).
3*g**2/4
Suppose g - 14 = -5*x, 17*x - 15*x - 2*g + 4 = 0. Suppose 4 = -x*p + 4*z, 0 = -4*p + 5*z + 8 - 10. Factor 3*i + 1/2*i**4 + 0 - 7/2*i**p + 0*i**3.
i*(i - 2)*(i - 1)*(i + 3)/2
Let d(r) be the first derivative of -r**6/3 + 18*r**5 + 93*r**4/2 + 94*r**3/3 - 3007. What is k in d(k) = 0?
-1, 0, 47
Factor -4526*h - 417*h**2 + 7099*h + 14017536 + 12403*h + 421*h**2.
4*(h + 1872)**2
Let q(t) be the second derivative of t**4/28 - 229*t**3/14 - 99*t**2 - 326*t. Factor q(z).
3*(z - 231)*(z + 2)/7
Let l(q) be the third derivative of q**7/10 + 1259*q**6/80 - 9*q**5/4 - 2947*q**2. Factor l(b).
3*b**2*(b + 90)*(14*b - 1)/2
Let i be (-1)/1*(-16)/4. Suppose -4*j - o = -i*o - 9, -4*j = -o - 11. Factor -7*v**3 + 20 - 44*v + 28*v**2 + v**3 + 2*v**j.
-4*(v - 5)*(v - 1)**2
Let r be 22 + -20 - (-2 - 4/(-2)). Let b(s) = -s - 1. Let h be 22/77 - (-18)/(-14). Let y(j) = -5*j**2 - 42*j - 82. Let z(l) = h*y(l) + r*b(l). Factor z(i).
5*(i + 4)**2
Suppose 5*f + 27205 = -5*l + 27250, -3*f + 27 = l. Factor -21/2*g**2 - 9/2*g**3 - 11/2*g + l + 1/2*g**4.
g*(g - 11)*(g + 1)**2/2
What is u in 543*u + 357*u**2 - 63*u**3 - 669*u**2 + 3*u**4 + 483*u**2 + 306 = 0?
-1, 6, 17
Let n(c) be the third derivative of -c**6/240 + 689*c**5/40 - 474721*c**4/16 + 327082769*c**3/12 - c**2 + 5*c - 8. Determine g so that n(g) = 0.
689
Suppose 0 = -4*i - m + 3, 0 = 3*i - 3*m - 2 - 19. Factor 16 + 4*j**3 - 51*j**2 + 41*j**i - 2*j**3 + 4*j.
2*(j - 4)*(j - 2)*(j + 1)
Determine k so that 0 + 0*k - 1167/2*k**3 + 585*k**2 - 3/2*k**4 = 0.
-390, 0, 1
Let x(h) = -2*h**2 + 28*h - 24. Let a be x(19). Let m = a - -650/3. Factor -m*n**2 + 10/3*n + 2/3*n**3 - 4/3.
2*(n - 2)*(n - 1)**2/3
Let l be 5 + ((-12)/(-3))/(-4). Factor l*g + 3*g**5 + 29*g**3 - 7*g**3 - 12*g**2 - g - 12*g**4 - 4*g**3.
3*g*(g - 1)**4
Let t(a) be the second derivative of a**8/73920 + a**7/5544 + 7*a**6/7920 + a**5/440 + 7*a**4/12 + 22*a. Let p(n) be the third derivative of t(n). Factor p(u).
(u + 1)**2*(u + 3)/11
Let a(l) = -757*l**2 + 1512*l + 10. Let g(z) = 755*z**2 - 1508*z - 8. Let d(q) = -2*a(q) - 3*g(q). Factor d(u).
-(u - 2)*(751*u + 2)
Let o(p) be the second derivative of 169*p + 5/42*p**7 + 1/6*p**6 + 5/4*p**4 + 0*p**2 + 0 - 5/4*p**5 + 0*p**3. Find q, given that o(q) = 0.
-3, 0, 1
Find z, given that 2 - 5/4*z**2 - 39/4*z = 0.
-8, 1/5
Determine z, given that 64822 + 2592*z + 658704 - 6*z**2 + 8*z**2 + 116282 = 0.
-648
Let n = -297/238 + 11/7. Let y(b) be the second derivative of n*b**4 + 2/17*b**2 + 0 + 29/170*b**5 + 3/85*b**6 + 5/17*b**3 - 11*b. Solve y(a) = 0 for a.
-1, -2/9
Let j(p) = -p**2 - 11*p - 26. Let w be j(-4). Let c be (4 - w) + (2 - -2 - 3). Determine k, given that 2*k**2 - 26*k**2 - 287*k**4 + 4 + 32*k**c + 275*k**4 = 0.
-1/3, 1
Let a = 24159 - 24158. Factor -a - 1/2*x**3 - 3/2*x**2 + 5/2*x + 1/2*x**4.
(x - 1)**3*(x + 2)/2
Let o = -1559724/7 + 222818. Let o*c**3 + 102/7*c**2 + 9826/7 + 1734/7*c = 0. Calculate c.
-17
Suppose -4*n + 18*n - 18*n + 38 = -2*q, 75 = -5*q. Suppose 1/4*t + 2*t**3 + 0 - 3/2*t**n = 0. Calculate t.
0, 1/4, 1/2
Let r(c) be the second derivative of c**6/30 + c**5/10 - 25*c**4/12 - c**3/3 + 12*c**2 - 373*c + 1. Find d such that r(d) = 0.
-6, -1, 1, 4
Suppose 12*t + 2*j = 8*t + 78, 2*j = 3*t - 48. Let o(x) be the third derivative of -1/12*x**3 - 1/24*x**4 + 0*x + 0 - 1/120*x**5 + t*x**2. Solve o(n) = 0 for n.
-1
Let o = 364 - 252. Suppose -o = -19*g + 12*g. Factor 38*j**2 - 12*j - 24*j**4 - 9*j**4 - g*j**3 + 23*j**4.
-2*j*(j - 1)*(j + 3)*(5*j - 2)
Let t be (-1)/(4/(-108)*-9) + 7. Let g(j) be the second derivative of 0 + 0*j**2 - 2/57*j**3 + 6*j - 1/114*j**t. What is p in g(p) = 0?
-2, 0
Let x(u) be the first derivative of -8*u**3/3 + 302*u**2 - 300*u + 905. Solve x(d) = 0.
1/2, 75
Let s be (-3 + 17 - 8) + 26. Find i, given that 3*i**3 + 24*i**3 - s*i**2 - 51*i + 48 + 10*i**4 - i - i**5 = 0.
-2, 1, 12
Factor 255*c - 23*c + 2579*c - 35*c**3 - 3105*c**2 - 897 + 1229*c - 3.
-5*(c - 1)*(c + 90)*(7*c - 2)
Suppose -6*p = -10831 + 10819. Suppose -6 + 3/4*a**p + 3/2*a = 0. What is a?
-4, 2
Let d be 10 - (-5 - (-30)/3). Determine q, given that -20*q - d*q**5 - 14*q**4 + 4*q**4 + 10*q**5 + 120*q - 20*q**2 - 75*q**3 = 0.
-2, 0, 1, 5
What is g in -2/7*g**3 + 258/7*g + 34 + 18/7*g**2 = 0?
-7, -1, 17
Let i(n) be the second derivative of 28*n + 0*n**2 + 1/6*n**3 + 0 + 3/4*n**4. Let x(c) = c**2 + c. Let f(s) = 2*i(s) - 14*x(s). Solve f(m) = 0.
0, 3
Let r = 517858/194199 - -2/64733. Solve -r*l**5 + 2*l**2 + 10/3*l**3 - 2*l**4 - 2/3*l + 0 = 0.
-1, 0, 1/4, 1
Let v = 9402 - 103030/11. Suppose -2/11*s**2 - 56/11*s - v = 0. What is s?
-14
Let n(j) = -2*j**2 + 64*j + 70. Let y be n(33). Let x(d) be the first derivative of -1/8*d**y - d + d**2 - 1/4*d**3 + 1/20*d**5 - 13. Factor x(h).
(h - 2)*(h - 1)**2*(h + 2)/4
Let o be (-4)/6*-57 - -4. Suppose -4*l - 3*l + o = 0. Factor -24*y**2 + l*y**2 - 2 + 5*y + 14*y**3 + 5*y - 4*y**4 + 0.
-2*(y - 1)**3*(2*y - 1)
Let y = -43284 + 43286. Let 0 + 0*a + 5/4*a**3 - 1/2*a**4 - 5/4*a**5 + 1/2*a**y = 0. What is a?
-1, -2/5, 0, 1
Factor 35*j**2 - 133*j**3 - 88*j + 40*j**3 + 57*j**2 + 47*j**3 + 42*j**3.
-4*j*(j - 22)*(j - 1)
Let r(g) be the first derivative of 0*g**4 + 0*g - 1/11*g**2 + 1/33*g**6 - 4/33*g**3 + 4/55*g**5 - 30. Factor r(c).
2*c*(c - 1)*(c + 1)**3/11
Suppose 2*a = -10, -36*c + 3*a + 9 = -37*c. Let n(z) be the third derivative of 1/30*z**5 + 0 + 0*z**3 - 1/24*z**4 + 0*z + 4*z**2 - 1/120*z**c. Factor n(w).
-w*(w - 1)**2
Let -10481*s - s**4 + 5257*s + 5245*s - 8*s**3 - 19*s**3 + 20 + 6*s**3 - 19*s**2 = 0. Calculate s.
-20, -1, 1
Let d(f) be the second derivative of 4 + 0*f**2 - 1/6*f**3 - 19*f - 1/36*f**4 + 1/90*f**6 + 1/20*f**5. Determine t so that d(t) = 0.
-3, -1, 0, 1
Let n(a) = -10*a**3 - 43*a**2 + 120*a + 3. Let o(z) = 12*z**3 + 48*z**2 - 120*z - 4. Let q(d) = -4*n(d) - 3*o(d). Suppose q(g) = 0. Calculate g.
-10, 0, 3
Let q be 6*(2 - 1)*76/608. What is b in 19*b - q*b**2 + 13 = 0?
-2/3, 26
Let h be (20/(-6))/(20/(-30)) + -3. Let m(p) be the third derivative of 0*p + 0 + 1/8*p**4 + 21*p**h - 1/80*p**5 - 1/2*p**3. Factor m(x).
-3*(x - 2)**2/4
Let v(x) be the second derivative of x**4/54 - 23*x**3/9 + 68*x**2/9 - 198*x. Factor v(a).
2*(a - 68)*(a - 1)/9
Let i(f) be the third derivative of f**6/12 - 133*f**5/10 + 660*f**4 + 1600*f**3/3 + 4*f**2 + 111. Factor i(n).
2*(n - 40)**2*(5*n + 1)
Let m(j) = 2*j**2 - 15*j - 153. Let w be m(-6). Suppose -22*b + 9 = w. Factor b*x - 1/3*x**3 + 0*x**2 + 0.
-x**3/3
Let o be ((90/5)/6)/(7/189). Let f be ((-216)/o)/((-39)/9 - -1). Determine q, given that 16/5*q + 16/5*q**2 + f*q**3 + 0 = 0.
-2, 0
Let g(v) be the first derivative of -10*v**3/39 - 847*v**2/13 - 52*v - 3520. Factor g(q).
-2*(q 