1, 0, 1
Solve 2*q - 11*q + q**2 + 10*q - q + 9*q - 52 = 0 for q.
-13, 4
Factor 20*r + 15/2*r**3 + 1/2*r**4 + 27*r**2 + 0.
r*(r + 1)*(r + 4)*(r + 10)/2
Let k(m) be the second derivative of 5*m**4/12 + 1990*m**3/3 + 396010*m**2 - 1954*m. Factor k(x).
5*(x + 398)**2
Let h = -983243/2 + 491623. Factor 0 + 1/2*s**3 + h*s + 2*s**2.
s*(s + 1)*(s + 3)/2
Let l(n) = -n**4 + n**3 + 2*n - 1. Let z(x) = -8*x**4 + 2063*x**3 - 318270*x**2 + 21854546*x - 562754408. Let c(k) = -3*l(k) + z(k). Solve c(j) = 0.
103
Let u be (-4)/(-82) + 5836523/4028332. Let g = u + 3/1276. Factor 0 - 24*a + 12*a**2 - g*a**3.
-3*a*(a - 4)**2/2
Let o(c) be the third derivative of -c**8/1512 - 29*c**7/945 - 247*c**6/540 - 169*c**5/90 - 301*c**2 + 4*c + 2. Factor o(t).
-2*t**2*(t + 3)*(t + 13)**2/9
Let q = 126/1355 + 1103/2710. Factor 0 - q*o**2 + o - 1/2*o**3.
-o*(o - 1)*(o + 2)/2
Let t = -267514 + 3474652/13. Let g = t + 234. Solve -g*s**2 - 2/13*s + 2/13*s**3 + 12/13 = 0 for s.
-1, 1, 6
Let s(o) be the second derivative of -o**4/60 + 497*o**3/3 - 1235045*o**2/2 + 39*o - 16. Solve s(k) = 0.
2485
Let v(o) be the first derivative of 2*o**3/9 + 320*o**2/3 + 51200*o/3 + 1056. Determine h, given that v(h) = 0.
-160
Suppose 5*l - 5 = 5. Find b, given that -b + 12*b**4 - 5*b - 25*b**4 + 14*b**4 - b**5 - b**l + 7*b**3 = 0.
-2, -1, 0, 1, 3
Factor -14271/4*h**3 + 15123/2*h**2 + 0*h - 3/4*h**5 - 105*h**4 + 0.
-3*h**2*(h - 2)*(h + 71)**2/4
Let s(f) be the first derivative of 3*f**5/25 - 3*f**4/20 - 2*f**3 - 12*f**2/5 + 862. Determine t so that s(t) = 0.
-2, -1, 0, 4
Let l be 5/((-25)/6) + 143/(388960/8024). Determine f so that -17/4*f**3 + 17/4*f**2 - 1/4*f**5 + 0 + l*f**4 - 3/2*f = 0.
0, 1, 2, 3
Let t(x) be the first derivative of -x**6/200 + x**5/25 - 12*x**2 - 4*x + 237. Let p(g) be the second derivative of t(g). Find i such that p(i) = 0.
0, 4
Let v = 154334 + -1234631/8. Factor -v*g + 1/8*g**2 + 0.
g*(g - 41)/8
Let c(g) be the first derivative of 0*g + 1/4*g**4 - 2*g**2 - 4/3*g**3 - 57 + 1/5*g**5. Find u, given that c(u) = 0.
-2, -1, 0, 2
Let t(x) = x**3 + 4*x**2 - 9*x - 2. Let o be t(-6). Let g be (o/(-120))/(-3 + 4). Factor -1/3*f**3 + 1/6*f**5 + 1/3*f**2 - 1/6 - g*f**4 + 1/6*f.
(f - 1)**3*(f + 1)**2/6
Determine d, given that -16/7*d**2 + 0 + 0*d + 4/7*d**3 + 2/7*d**4 = 0.
-4, 0, 2
Let r(m) be the third derivative of 2*m**3 + 0 - 58*m**2 + 1/15*m**6 - 1/3*m**4 + 2/105*m**7 + 0*m - 4/15*m**5. Factor r(p).
4*(p - 1)**2*(p + 1)*(p + 3)
Let d(z) be the first derivative of -z**5 + 15*z**4 - 35*z**3 - 245*z**2 + 1436. What is f in d(f) = 0?
-2, 0, 7
Factor 0 - 2/9*k**3 + 14/9*k**2 + 20/3*k.
-2*k*(k - 10)*(k + 3)/9
Let l(a) be the first derivative of a**4/2 - 478*a**3/3 - 968*a**2 - 1944*a + 468. Factor l(f).
2*(f - 243)*(f + 2)**2
Let i be (463 - 444) + (-186)/10. Let k be 1*(2 - 4)*-2. Factor -2*c + 4/5*c**k - 14/5*c**3 + 18/5*c**2 + i.
2*(c - 1)**3*(2*c - 1)/5
Suppose 58 = 38*r + 134. Let n(g) = g**2 - 12*g - 23. Let v be n(r). What is p in 1/6*p + 1/3*p**4 + 0 - 1/3*p**2 + 0*p**3 - 1/6*p**v = 0?
-1, 0, 1
Let b = -566 + 573. Let u(g) = -9*g + 63. Let c be u(b). Determine r so that -12/7*r**2 + 0*r - 4/7*r**3 + c = 0.
-3, 0
Let k = 5072 + -40541/8. Let g(f) be the first derivative of 0*f + f**2 - 11/3*f**3 + k*f**4 - 13 - 5/4*f**5. Factor g(z).
-z*(z - 2)*(5*z - 2)**2/4
Find y such that -554/15*y - 238/15*y**3 - 2/3*y**4 - 614/15*y**2 - 56/5 = 0.
-21, -1, -4/5
Let g = 2103869/4908995 + -2/701285. Factor -3/7*m**4 + 1/7*m**5 + g*m**3 + 0*m + 0 - 1/7*m**2.
m**2*(m - 1)**3/7
Let o(y) be the second derivative of y**7/28 - 21*y**6/8 + 4197*y**5/80 - 209*y**4/8 - 819*y**3/2 - 507*y**2 - 2055*y. Determine b, given that o(b) = 0.
-1, -1/2, 2, 26
Let r = 19 - 11. Factor 2 - 1 - r - 1 - 6*n - n**2.
-(n + 2)*(n + 4)
Factor -1424/5*z - 1/5*z**3 - 184/5*z**2 - 2816/5.
-(z + 4)**2*(z + 176)/5
Let v(p) be the second derivative of -p**4/66 - 3*p**3 - 194*p**2/11 + p - 610. Factor v(i).
-2*(i + 2)*(i + 97)/11
Determine y so that -3/5*y**2 - 306/5*y + 0 = 0.
-102, 0
Let l be (-2)/(-6)*(-1 + 19). Suppose -w - 3*w - 3*v = -3, -w - 3*v = l. Factor -18*b**5 - 26*b**3 + 6*b**4 + 49*b**w - 7*b**3 - 8*b**2.
-2*b**2*(b + 1)*(3*b - 2)**2
Let y(t) = -t**4 - t**3 + 2*t**2 - 2. Let q(n) = -n**5 + 12*n**4 + 14*n**3 - 17*n**2 - 8*n + 10. Let p(r) = q(r) + 5*y(r). Factor p(j).
-j*(j - 8)*(j - 1)*(j + 1)**2
Let v = -463550/21 - -154624/7. Factor 2/3*q**3 + 94/3*q - 50/3*q**2 - v.
2*(q - 23)*(q - 1)**2/3
Let l(u) = 10*u**2 - 16*u + 22. Suppose -12 = 3*g + 3. Let z(b) = -5*b + 118*b**2 - 73*b**2 - 42*b**2 + 7. Let n(k) = g*l(k) + 16*z(k). Factor n(r).
-2*(r - 1)*(r + 1)
Find f such that -1/5*f**4 - 717/5*f**2 - 2116/5 + 460*f + 10*f**3 = 0.
2, 23
Let x(f) = 10*f + 131. Let h be x(-14). Let k(d) = -d**2 - 5*d + 41. Let s be k(h). Factor s - 3*a - 1/5*a**3 - 9/5*a**2.
-(a - 1)*(a + 5)**2/5
Suppose -3 - 2*m**5 + 69/4*m**3 - 1/4*m + 11/4*m**4 + 61/4*m**2 = 0. What is m?
-1, 3/8, 4
Let b(w) be the third derivative of -13/72*w**4 + 0 - 24*w + 1/360*w**6 - 7/18*w**3 - 1/36*w**5 + w**2. Factor b(n).
(n - 7)*(n + 1)**2/3
Let i(x) = -8 + 2*x**2 + 0*x**2 - 3 + 4 - 4*x + 3. Let h(k) be the second derivative of k**3/6 - 2*k. Let g(b) = -2*h(b) - i(b). Factor g(c).
-2*(c - 2)*(c + 1)
Let o(f) = -2572*f - 7713. Let k be o(-3). Factor 18/13*c**4 - 2/13*c**2 + 0 + 0*c + 10/13*c**5 + 6/13*c**k.
2*c**2*(c + 1)**2*(5*c - 1)/13
Let m = 81 - 82. Let o be m/(1/16*-4). Factor -2/3 + g**3 + 1/3*g**o - g + 1/3*g**2.
(g - 1)*(g + 1)**2*(g + 2)/3
Let z(a) = 6*a**3 + 184*a**2 - 282*a - 8. Let x(v) = -11*v**3 - 369*v**2 + 541*v + 14. Let i(g) = -4*x(g) - 7*z(g). Let i(o) = 0. Calculate o.
-95, 0, 1
Suppose 14*y - 296 = -156. Factor 10 + 27*u - 7*u - y*u**2 - 52 + 8*u**2.
-2*(u - 7)*(u - 3)
Let d = 315663 + -3472277/11. Factor 24/11 - 38/11*m - 2/11*m**3 + d*m**2.
-2*(m - 4)*(m - 3)*(m - 1)/11
Suppose -136*h**2 + 29*h**5 - 185*h**5 + 162*h**3 - 24*h**4 + 123*h**5 + 31*h**5 = 0. What is h?
-17, 0, 1, 4
Determine y, given that 96/7*y**3 + 0*y + 0 + 16/7*y**4 - 2/7*y**5 + 0*y**2 = 0.
-4, 0, 12
Factor -8540/3*b + 3646580/3 + 5/3*b**2.
5*(b - 854)**2/3
Let b(k) be the third derivative of 5*k**8/168 - 1216*k**7/945 - k**6/27 + 127*k**5/27 - 25*k**4/108 - 2*k**3 + 5252*k**2. Determine c, given that b(c) = 0.
-1, -1/5, 2/9, 1, 27
Let a(n) be the second derivative of -n**7/6 - 8*n**6 - 551*n**5/20 + 13021*n**4/6 - 12870*n**3 - 12100*n**2 - 10*n + 36. Determine p so that a(p) = 0.
-22, -2/7, 5
Suppose 32/7 - 32/7*c**2 + 5/7*c**3 - 68/7*c = 0. Calculate c.
-2, 2/5, 8
Let i(w) be the first derivative of -100/3*w**3 - 175 + 3*w**6 - 83/2*w**4 + 0*w - 24/5*w**5 - 8*w**2. Suppose i(z) = 0. Calculate z.
-2, -1/3, 0, 4
Let n(d) be the second derivative of -186*d - 128*d**2 - 97/12*d**4 + 2 + 48*d**3 - 1/120*d**6 + 9/20*d**5. Suppose n(q) = 0. Calculate q.
2, 16
Factor -24*j + 1/3*j**4 + 11/3*j**3 + 0 - 6*j**2.
j*(j - 3)*(j + 2)*(j + 12)/3
Factor 10/7*c**2 - 1696/7*c - 680/7.
2*(c - 170)*(5*c + 2)/7
Let x(h) = 2*h**2 + h + 1. Let f(z) be the second derivative of -z**2 + 0*z**3 + 4*z + 0 - 1/12*z**4. Let a(d) = -2*f(d) - 3*x(d). Find r such that a(r) = 0.
-1, 1/4
Let w be ((-2)/(-14))/(2/(-7))*-10. Let m(q) be the first derivative of 4/33*q**3 + 0*q**4 - 1/33*q**6 + 1/11*q**2 - 13 + 0*q - 4/55*q**w. Factor m(o).
-2*o*(o - 1)*(o + 1)**3/11
Let i(z) be the first derivative of -1/2*z**3 - 9747/2*z + 171/2*z**2 - 15. Determine w, given that i(w) = 0.
57
Let h(o) = 3*o**2 - 8*o - 11. Let u(l) be the first derivative of 6*l**2 + 17*l + 14 - 5/3*l**3. Let y(m) = 7*h(m) + 5*u(m). Solve y(j) = 0.
-1, 2
Let r(x) be the third derivative of -x**8/336 + 191*x**7/245 - 779*x**6/14 - 3362*x**5/105 - 1484*x**2. Factor r(g).
-g**2*(g - 82)**2*(7*g + 2)/7
Let c(t) = 2*t - 23. Let m be c(9). Let a(h) = h + 8. Let r be a(m). Solve 5 - 36*d**r + 25*d + 4 + 6 - 15*d**2 + 11*d**3 = 0.
-1, -3/5, 1
Factor 2779696*o + 376*o**3 + 1692003 - 769*o**3 + 396*o**3 - 2865*o**2 - 1092199*o - 1638*o**2.
3*(o - 751)**2*(o + 1)
Let q(f) be the third derivative of f**6/420 - f**5/3 - f**4/84 + 10*f**3/3 - 271*f**2. Let q(t) = 0. Calculate t.
-1, 1, 70
Let n = 12049 - 12049. Let m(p) be the third derivative of 0*p**3 + 0*p + 7*p**2 + 1/150*p**5 + n - 1/30*p**4. Let m(k) = 0. What is k?
0, 2
Determine s, given