 0.
-1, 0, 1/2, 1
Let i(m) be the third derivative of m**8/6720 + m**7/30 + 49*m**6/15 + 13*m**5/60 + m**4/4 - 2*m**2 - 1. Let r(k) be the third derivative of i(k). Factor r(n).
3*(n + 28)**2
Let i(k) be the third derivative of -k**5/15 - 785*k**4/3 - 1232450*k**3/3 - 1079*k**2 + 2*k. Factor i(b).
-4*(b + 785)**2
Let f(r) be the second derivative of -10*r**7/273 + 97*r**6/195 - 59*r**5/130 - 37*r**4/78 + 3*r**3/13 - 5507*r. Find s such that f(s) = 0.
-1/2, 0, 1/5, 1, 9
Factor -28000/13*v**2 + 0 - 160/13*v**4 - 61250/13*v - 300*v**3 - 2/13*v**5.
-2*v*(v + 5)**2*(v + 35)**2/13
Factor 3/2*t**2 - 495/2*t - 1275.
3*(t - 170)*(t + 5)/2
Let v be (3/2)/(-2 + 22/8). Suppose 4*w = 2*p, -v*w + 20 = -3*p + 7*p. Suppose 5*c**2 - 2*c**5 - p*c**5 + 3*c**3 - 8*c**2 + 3*c**4 + 3*c**5 = 0. What is c?
-1, 0, 1
Suppose 47*b + 14 = 44*b - 2*c, -2*b = -c - 21. Factor 0*j**2 - 3/2*j**3 + 0 + 0*j - 2*j**b - 1/2*j**5.
-j**3*(j + 1)*(j + 3)/2
Solve 10938/7*t**3 + 2/7*t**5 + 0 - 4402*t**2 + 20164/7*t - 290/7*t**4 = 0.
0, 1, 2, 71
Factor 37*t**3 + 431*t**2 - t**5 + 388*t**2 - 854*t**2 - t**4.
-t**2*(t - 5)*(t - 1)*(t + 7)
Suppose 698*y + 4*b = 701*y + 51, 2*y - 96 = -6*b. Factor 97/4*i**2 - 11/4*i**y - 4 - 35/2*i.
-(i - 8)*(i - 1)*(11*i + 2)/4
Let t(q) = 10*q**2 - 60*q - 175. Let b(p) = -5*p**2 + 21*p + 88. Let m(z) = -5*b(z) - 2*t(z). Factor m(x).
5*(x - 3)*(x + 6)
Let b(l) = -l**2 + l. Let v(z) be the first derivative of -24 + 21*z - 19/2*z**2 - 2/3*z**3. Let g(q) = 5*b(q) - v(q). Factor g(p).
-3*(p - 7)*(p - 1)
Let c be (32/260)/((-2)/10)*(599 - 601). Let 10/13*m**3 - c*m**2 + 0 - 2/13*m**4 + 8/13*m = 0. Calculate m.
0, 1, 2
Let c(g) = -g**3 - 11*g**2 - 15*g + 35. Let h be c(-9). Let 5422*m**2 - 9*m**4 - 18*m**3 + h*m - 5*m**4 - 5398*m**2 = 0. Calculate m.
-2, -2/7, 0, 1
Let v be -18 - 111*14/(-84). Let o(w) be the third derivative of 1/20*w**5 - v*w**4 + 0 + 1/10*w**6 - 1/70*w**7 - 11*w**2 + 0*w**3 + 0*w. Factor o(a).
-3*a*(a - 4)*(a - 1)*(a + 1)
Factor -10*k + 13/4*k**2 - 1/4*k**3 + 0.
-k*(k - 8)*(k - 5)/4
Let r(i) = -2*i**3 - 12*i**2 - 22*i. Let n be r(-3). Let b(a) be the first derivative of -n - 1/8*a**3 + 0*a + 0*a**2. Factor b(q).
-3*q**2/8
Factor 268*z**2 - 802*z**2 - 84*z + 225 + 272*z**2 + 265*z**2.
3*(z - 25)*(z - 3)
What is m in 1845/7*m**2 + 216/7*m**3 + 879/7*m - 48/7*m**4 + 108/7 = 0?
-4, -1/4, 9
Let q(n) be the third derivative of -n**7/1470 + 13*n**6/840 - n**5/7 + 29*n**4/42 - 40*n**3/21 - 1023*n**2. Solve q(h) = 0.
2, 4, 5
Let g(n) = 61*n**3 + 1661*n**2 - 3315*n + 1631. Let s(v) = -13*v**3 - 332*v**2 + 663*v - 326. Let c(f) = -4*g(f) - 19*s(f). Solve c(x) = 0.
1, 110
Let m(x) be the second derivative of -11*x**4/2 + 1472*x**3/3 + 996*x**2 - 7*x - 16. Find j, given that m(j) = 0.
-2/3, 498/11
Let c(u) be the second derivative of u**7/168 + u**6/60 - u**5/60 + 17*u**2/2 + u + 18. Let q(k) be the first derivative of c(k). Determine f so that q(f) = 0.
-2, 0, 2/5
Let c(q) be the second derivative of 1/40*q**5 + 1 + 5/24*q**4 + 6*q - 5/4*q**2 - 1/12*q**3. Factor c(y).
(y - 1)*(y + 1)*(y + 5)/2
Let -5054/5 + 24/5*t**2 - 171/5*t + 1/5*t**3 = 0. Calculate t.
-19, 14
Factor 18/13*s**2 + 2/13*s**3 + 4*s + 48/13.
2*(s + 2)*(s + 3)*(s + 4)/13
Let h = -946/161 - -6984/805. Solve -28/5 + 2/5*i**4 + h*i**3 - 46/5*i - 6/5*i**2 = 0 for i.
-7, -1, 2
Suppose -4294 + 651 - 19551 = -7338*q - 1180. Factor 2*i + 1/2*i**4 + 2*i**q + 1/2 + 3*i**2.
(i + 1)**4/2
Let i(p) = -17*p**2 + 16*p - 78. Let z(f) = -3*f**2 + 3*f - 16. Let y(k) = 6*i(k) - 33*z(k). Factor y(r).
-3*(r - 4)*(r + 5)
Solve -349*i**2 + 713*i**2 + 5*i**3 + i**3 - 4*i**3 = 0.
-182, 0
What is y in -2 - 3*y**5 - 74090*y + 84*y**2 - 3*y**4 + 2 + 74138*y + 36*y**3 = 0?
-2, -1, 0, 4
Let t = -299 - -297. Let r(p) = -p**2 - 6*p - 3. Let h be r(t). Factor 1/4*i**h + 3/4*i**4 + 0*i + 3/4*i**3 + 0 + 1/4*i**2.
i**2*(i + 1)**3/4
Let y(b) be the first derivative of -3*b**4/8 + 179*b**3/2 + 543*b**2/2 - 1698. Factor y(h).
-3*h*(h - 181)*(h + 2)/2
Let i(k) be the third derivative of k**8/840 + 66*k**7/175 + 391*k**6/150 + 584*k**5/75 + 259*k**4/20 + 194*k**3/15 - 410*k**2 - 2. Let i(y) = 0. What is y?
-194, -1
Let h be ((-3)/(-2))/(512/1024). Factor 8/21*a**h + 52/3*a - 14/3 + 110/21*a**2.
2*(a + 7)**2*(4*a - 1)/21
Let v(f) be the second derivative of f**4/12 + 16*f**3/3 - 185*f**2/2 - 2*f - 1650. Factor v(q).
(q - 5)*(q + 37)
Let i be ((-39)/(-12675)*50)/(4/52). Solve -27/2*a + 15 + 27/2*a**3 + 3/2*a**4 - 33/2*a**i = 0.
-10, -1, 1
Factor -59/3*f + 1/3*f**2 - 122/3.
(f - 61)*(f + 2)/3
Let b(x) be the first derivative of -8*x**5/65 + 4*x**4/13 + 22*x**3/39 + 3*x**2/13 - 1350. Factor b(a).
-2*a*(a - 3)*(2*a + 1)**2/13
Factor 18*c**2 - 3/7*c**3 + 0 + 552/7*c.
-3*c*(c - 46)*(c + 4)/7
Suppose -15*b - 197*b + 788 = -272. Find t such that 0 - 178/11*t**4 - 14/11*t**b + 826/11*t**2 - 196/11*t - 438/11*t**3 = 0.
-7, 0, 2/7, 1
Let g = 44 - 38. Let y be (g/(-105))/((16/20)/(-4)). Factor n**3 + y + 3/7*n - 12/7*n**2.
(n - 1)**2*(7*n + 2)/7
Let q(s) be the first derivative of 75*s + 1/9*s**3 - 5*s**2 - 53. Factor q(n).
(n - 15)**2/3
Let d be (1 - 0)*(-42)/(-21). Let n(z) be the first derivative of 4/15*z**4 - 18/5*z + 2/75*z**5 + 0*z**d + 4/5*z**3 - 13. Factor n(y).
2*(y - 1)*(y + 3)**3/15
Let f(n) be the first derivative of 3*n**4/20 + 45*n**3 - 339*n**2/5 + 5529. Factor f(j).
3*j*(j - 1)*(j + 226)/5
Let t(z) be the second derivative of -3*z**4/2 - 7*z**3/3 + 60*z**2 + 1198*z. Let t(h) = 0. What is h?
-3, 20/9
Let b(v) be the first derivative of 6125*v + 175*v**2 + 5/3*v**3 - 18. Solve b(o) = 0 for o.
-35
Let v(o) = -7*o**4 - 243*o**3 + 245*o**2 + 246*o - 241. Let k(x) = -20*x**4 - 728*x**3 + 736*x**2 + 736*x - 724. Let t(j) = 3*k(j) - 8*v(j). Factor t(d).
-4*(d - 1)**2*(d + 1)*(d + 61)
Let g be 6/87 + 31/(-29). Let y be 75/(-50) + (-23)/(-6) + g. Factor -8/3 - y*i - 1/3*i**4 + 1/3*i**3 + 2*i**2.
-(i - 2)**2*(i + 1)*(i + 2)/3
Let v be (-1 - (-20)/18) + (-17)/(-9). Let g(w) be the first derivative of -10*w**v + 0*w - 25/3*w**3 - 5/4*w**4 + 14. Factor g(u).
-5*u*(u + 1)*(u + 4)
Let t(o) = 2*o**5 - 147*o**4 - 277*o**3 + 591*o**2 + 1157*o - 15. Let v(q) = -q**5 - 3*q**3 - q**2 + q + 5. Let f(m) = -t(m) - 3*v(m). Factor f(u).
u*(u - 2)*(u + 2)**2*(u + 145)
Let s(n) be the third derivative of 0 - 75*n + 1/80*n**5 - 2*n**2 - 1/4*n**3 + 1/32*n**4. Suppose s(q) = 0. What is q?
-2, 1
Let z(l) be the third derivative of -243/2*l**3 + 29/240*l**6 + 0 + 0*l + 405/16*l**4 - 99/40*l**5 - 1/420*l**7 + 88*l**2. Determine q, given that z(q) = 0.
2, 9
Let 0 + h**4 - 12/7*h**3 + 16/7*h - 1/7*h**5 - 4/7*h**2 = 0. What is h?
-1, 0, 2, 4
Let w(a) = 2*a**2 + a - 3. Suppose 0 = -4*u + u - 9. Let x(d) = -5*d**2 - 4*d + 9. Let c = -319 - -311. Let m(h) = c*w(h) + u*x(h). Factor m(g).
-(g - 3)*(g - 1)
Let t = 20 + -16. Suppose q - 135 = -t*q. Find x such that -q*x**2 - 24*x + 23*x**2 - 23 - 13 = 0.
-3
Suppose -1716 = -290*m - 527*m - 41*m. Suppose 0 + 7/9*h**m - 8/9*h + 1/9*h**3 = 0. Calculate h.
-8, 0, 1
Let j(v) be the second derivative of -3*v**5/50 + 241*v**4/60 - 137*v**3/15 + 39*v**2/10 + 2*v - 331. Factor j(o).
-(o - 39)*(o - 1)*(6*o - 1)/5
Suppose -2*l = -5*k - 25, -3*l + k - 12 = -6*l. Let w = 1272 - 1270. Find j, given that -l*j - 10*j + j**w + 2*j**2 - 3*j = 0.
0, 6
Suppose -10 - 47 = -19*i. Solve 6 + 22*f**3 + 6*f**3 + 36*f**2 - 40*f**4 - f**i - f**3 - 26*f - 2 = 0.
-1, 1/4, 2/5, 1
Let k(g) be the first derivative of -g**3/12 + 4*g**2 - 64*g + 1702. Let k(i) = 0. What is i?
16
Let w = -189957/4 - -189959/4. Solve 25/2*s**3 - 11 - w*s**4 - 69/2*s**2 + 67/2*s = 0 for s.
1, 22
Let f = 11490 - 218233/19. Let w = f + 131/38. Suppose -6*x - 3/2*x**2 + w = 0. What is x?
-5, 1
Let j(a) be the third derivative of -a**8/2688 - a**7/1680 + a**6/240 + a**5/120 + 26*a**2 + 13*a. Determine m so that j(m) = 0.
-2, -1, 0, 2
Let n(r) be the second derivative of r**7/294 - r**6/210 - 47*r**5/70 + 29*r**4/6 - 65*r**3/14 - 99*r**2/2 - 4*r + 297. Let n(f) = 0. What is f?
-11, -1, 3, 7
Let l(v) be the first derivative of v**4/16 - 5*v**3/4 + 27*v**2/8 - 13*v/4 + 340. Factor l(o).
(o - 13)*(o - 1)**2/4
Let o be 4*(16/(-120))/(62/(-465)). What is v in 0 - 8/9*v - 4/9*v**5 + 2/9*v**o - 8/9*v**2 + 2*v**3 = 0?
-2, -1/2, 0, 1, 2
Let l(g) = -17*g**3 + g**2 + 3*g + 3. Let q be 