ctor -1891*x**2 - 331182 - 603639*x - 561843 - x**3 - 291276*x.
-(x + 1)*(x + 945)**2
What is q in 1130*q + 810*q**2 - 425238*q**5 + 40*q**4 + 425243*q**5 - 595*q**3 + 310*q = 0?
-16, -1, 0, 3, 6
Let w(d) be the first derivative of -672*d**6 + 6176*d**5/5 + 913*d**4 + 96*d**3 - 38*d**2 - 8*d + 103. What is j in w(j) = 0?
-1/4, -1/9, 1/7, 2
Find t, given that 0*t**5 - 19*t**2 + 12 - 11*t - 15*t**4 + 2*t**5 - t**2 + 9*t + 23*t**4 = 0.
-3, -2, -1, 1
Let x(r) be the first derivative of -r**5/30 + 5*r**4/24 - 4*r**3/9 + r**2/3 + 101. Factor x(j).
-j*(j - 2)**2*(j - 1)/6
Factor -60*z + 2/5*z**2 + 2250.
2*(z - 75)**2/5
Let p(l) be the first derivative of l**4/12 + 10*l**3 + 352*l**2 + 3872*l/3 + 2550. Factor p(a).
(a + 2)*(a + 44)**2/3
Let w(f) be the first derivative of f**7/84 + 58*f - 189. Let b(x) be the first derivative of w(x). Factor b(d).
d**5/2
Let d(u) be the second derivative of -3/5*u**3 + 44 + 1/4*u**4 + 2*u - 3/100*u**5 + 0*u**2. Factor d(b).
-3*b*(b - 3)*(b - 2)/5
Let l be (-49)/(-4) - (17/4 + -4). Suppose -22*d - l = -25*d. Factor 23*v - 9*v + d*v**5 - 2 - 21*v**4 + 41*v**3 + v - 37*v**2.
(v - 2)*(v - 1)**3*(4*v - 1)
Let i(k) be the third derivative of -k**6/60 + 89*k**5/10 - 133*k**4/6 - 784*k**2 - 3*k. Solve i(a) = 0 for a.
0, 1, 266
Let c = -257 + 259. Suppose -5*o = -3*h - 20, -5*h + 3*o = -c*o + 20. Factor 0 + 1/7*d**3 + 0*d + 2/7*d**4 + 1/7*d**5 + h*d**2.
d**3*(d + 1)**2/7
Let x = 502 - 497. Factor -x*a - 7*a - 194*a**3 - 46*a**2 - 33*a + 193*a**3.
-a*(a + 1)*(a + 45)
Let k(n) be the second derivative of -5/12*n**4 + 25/2*n**2 + 0 + 35/6*n**3 + 102*n - 3/4*n**5. Determine s, given that k(s) = 0.
-1, 5/3
Let n(g) = 23*g**2 + 22*g + 24. Let m be (15/(-9))/((-36)/108). Let u(l) = 42*l**2 + 45*l + 48. Let d(q) = m*u(q) - 9*n(q). Solve d(k) = 0 for k.
-8, -1
Let v be (3 + ((-39)/(-26))/((-1)/2))/1. Let s(y) be the third derivative of -16/9*y**3 - 1/90*y**5 + v*y + 0 - 2/9*y**4 + 21*y**2. Find a such that s(a) = 0.
-4
Let i = -128 - -147. Suppose 3*x + 17*x - x**2 - 5 - 3*x**2 - i = 0. What is x?
2, 3
Let x(c) = 152*c**3 - 3221*c**2 + 116641*c + 21316. Let g(y) = -71*y**3 + 1610*y**2 - 58321*y - 10658. Let l(r) = 13*g(r) + 6*x(r). Factor l(b).
-(b - 73)**2*(11*b + 2)
Let z(a) be the first derivative of -3/22*a**2 + 3/44*a**4 + 137 + 0*a - 1/55*a**5 + 1/33*a**3. Factor z(f).
-f*(f - 3)*(f - 1)*(f + 1)/11
Let h(b) be the first derivative of -20/3*b + 105 + 1/9*b**3 + 19/6*b**2. Determine k, given that h(k) = 0.
-20, 1
Let h(v) = 9*v**3 + 173*v**2 - 4410*v + 8089. Let l(a) = a**3 - a**2 - 1. Let b(i) = 2*h(i) - 22*l(i). Factor b(y).
-4*(y - 45)**2*(y - 2)
Let d(k) be the second derivative of k**7/1008 + 7*k**6/288 + k**5/4 - 215*k**4/12 - 245*k. Let l(b) be the third derivative of d(b). Factor l(n).
5*(n + 3)*(n + 4)/2
Factor -148/3*p + 152/3 + 1/3*p**3 + 34/3*p**2.
(p - 2)**2*(p + 38)/3
Let z(g) be the first derivative of -g**7/42 - g**6/5 - 19*g**5/30 - g**4 + 28*g**3 + 63. Let p(j) be the third derivative of z(j). Factor p(r).
-4*(r + 1)*(r + 2)*(5*r + 3)
Let z = 1073/4 - 7341/28. Let h = -11/2 + z. Determine c, given that 4*c + h*c**3 + 20/7*c**2 + 12/7 = 0.
-3, -1
Let c(z) = z**3 + z**2 - z. Let r(w) = 14*w**3 + 23*w**4 + 4*w - 32*w**3 - 66*w**3 - 4*w**5 + 60*w**2 + 9*w**4. Let y(u) = -4*c(u) - r(u). Factor y(i).
4*i**2*(i - 4)*(i - 2)**2
Let z(v) be the first derivative of -v**8/6720 - 31*v**7/3360 - v**3 - 8*v - 90. Let b(j) be the third derivative of z(j). Factor b(l).
-l**3*(l + 31)/4
Let w = -239874 - -4070316/17. Let g = 444 + w. Factor 2/17*u**2 + g - 8/17*u.
2*(u - 3)*(u - 1)/17
Find o such that -189*o - 111*o**2 - 104*o**2 + 192 - 108*o**2 + 320*o**2 = 0.
-64, 1
Let o(w) = -w**3 - 66*w**2 - 560*w - 483. Let i(m) = -66*m**2 - 556*m - 482. Let y(q) = -3*i(q) + 2*o(q). Suppose y(d) = 0. Calculate d.
-6, -1, 40
Let a(g) = g**3 - 1048*g**2 + 1047*g - 3. Let v(u) = -10*u**3 + 8385*u**2 - 8375*u + 25. Let h(y) = -25*a(y) - 3*v(y). Factor h(l).
5*l*(l - 1)*(l + 210)
Factor -303/2*r - 153/4 + 6*r**2.
3*(2*r - 51)*(4*r + 1)/4
Suppose -27 = -5*i - 7. Suppose -15 = i*p - 7, 0 = -4*l - 2*p - 4. Suppose 2/17*n**5 + l*n + 0 + 2/17*n**3 + 0*n**2 + 4/17*n**4 = 0. What is n?
-1, 0
Suppose -3*l + 24 = -3*o, 4*l = -3*o - 1 + 5. Let w be (1/3)/(l/(-408)*-2). Factor -12*b - 3*b**2 - w + 48 - 16.
-3*(b - 1)*(b + 5)
Let t(k) be the first derivative of 4/3*k**3 - 62 - 24*k**2 + 12*k**4 - 4/5*k**5 + 0*k. Determine i, given that t(i) = 0.
-1, 0, 1, 12
Suppose 3*l - 31 = -4*a, -6*a - 26 = -2*l - 10*a. Let y be ((-18)/15)/((-2)/l). Find x, given that 0*x - 20/17*x**2 + 0 + 2/17*x**y = 0.
0, 10
Let n = -136 - -140. Determine i, given that -i**2 - n*i**2 - i**3 + 7*i**2 = 0.
0, 2
Let m be -4 - 5/(-1) - (-162)/44 - 90/495. What is i in -841/2 + 87*i**3 - 87*i + 416*i**2 + m*i**4 = 0?
-29/3, -1, 1
Let h(d) = -7*d - 13. Let v be h(-5). Let -94 - 67*c + v*c - 53 + 3*c - 3*c**2 = 0. Calculate c.
-7
Let g(p) = -p**3 - 95*p**2 - 363*p + 9. Let i be g(-4). What is a in 62/19*a**4 - 30/19*a**i + 40/19*a - 54/19*a**2 - 10/19*a**3 - 8/19 = 0?
-1, 2/5, 2/3, 1
Let g(h) be the first derivative of 5*h**4/4 - 10*h**3/3 - 365*h**2/2 - 350*h - 7643. Factor g(b).
5*(b - 10)*(b + 1)*(b + 7)
Let z = -41059 + 41059. What is p in z + 10/11*p**2 + 8/11*p + 2/11*p**3 = 0?
-4, -1, 0
Let m(b) be the third derivative of 2/3*b**3 + 0*b + 0 + 7/12*b**4 + 1/10*b**5 + 141*b**2. Let m(d) = 0. What is d?
-2, -1/3
Let c = -241 - -243. Find k, given that -197*k**c + 20*k**4 + 167*k**2 + 22*k**5 - 31*k**3 - 7*k**5 - 54*k**3 = 0.
-3, -1/3, 0, 2
Let f = 32686/5 - 6537. Let o(a) be the first derivative of 3/10*a**2 + 12 + f*a**3 + 0*a. Factor o(q).
3*q*(q + 1)/5
Let s(c) be the second derivative of -c**8/1120 + c**7/112 + c**6/40 - 8*c**3 - 3*c - 15. Let t(u) be the second derivative of s(u). Solve t(z) = 0 for z.
-1, 0, 6
Let y(n) be the third derivative of -n**8/1848 + n**7/165 - 3*n**6/220 - 7*n**5/330 + 5*n**4/66 - 66*n**2. Find w such that y(w) = 0.
-1, 0, 1, 2, 5
Let v = 153848/3 - 52217. Let c = v + 935. Let 11/2*b + 11/6*b**2 - 4/3*b**3 - c*b**4 + 3 = 0. What is b?
-3/2, -1, 2
Factor 1381/6 - 230*h - 1/6*h**2.
-(h - 1)*(h + 1381)/6
Let d(j) = -3*j - 75. Let g be d(-26). Let m be (g + 8/4*-3)/(-7). Factor 3/7*z**3 + m*z**2 - 3/7*z - 3/7.
3*(z - 1)*(z + 1)**2/7
Let j(q) be the third derivative of q**6/30 + 2761*q**5/5 + 7623121*q**4/2 + 42094874162*q**3/3 + 10022*q**2. Find y such that j(y) = 0.
-2761
Let c be -8 + 2280/96 + (-1)/((-70)/(-15) + -5). Factor -c*n**2 - 1/4*n**3 - 15625/4 - 1875/4*n.
-(n + 25)**3/4
Let c be 9/99 + (-1)/253 - (-536)/184. Let t(v) be the second derivative of 33*v + 0 + 3/14*v**c + 0*v**2 - 1/28*v**4. Let t(f) = 0. What is f?
0, 3
Factor -44/7*f**2 - 102/7*f + 2/7*f**3 + 144/7.
2*(f - 24)*(f - 1)*(f + 3)/7
Let p = 93/110 + 163/165. Let f(r) be the first derivative of -p*r**2 - 1/12*r**4 + 7/9*r**3 + 23 + 5/3*r. Suppose f(b) = 0. Calculate b.
1, 5
Let y(n) = 7*n**3 - 25*n**2 + 40*n. Let p = -448 - -445. Let r(s) = -36*s**3 + 124*s**2 - 200*s. Let h(m) = p*r(m) - 16*y(m). Let h(k) = 0. Calculate k.
0, 2, 5
Let k(f) be the first derivative of 4*f**5/5 + 798*f**4 + 284080*f**3 + 38483300*f**2 + 223315500*f - 13186. Let k(n) = 0. Calculate n.
-265, -3
Factor -608*t**2 - 448*t - 923 + 1326 - 124*t**4 + 4*t**5 + 544*t**3 + 429.
4*(t - 26)*(t - 2)**3*(t + 1)
Let v(l) be the third derivative of l**6/120 - 221*l**5/60 - 445*l**4/24 - 223*l**3/6 + 3610*l**2. What is c in v(c) = 0?
-1, 223
Let p = -10843939/1386 + 86116/11. Let k = -25/18 + p. Factor -15/7*f**3 + 3/7*f**5 - 3/7*f**4 + 12/7 + k*f + 3/7*f**2.
3*(f - 2)**2*(f + 1)**3/7
Factor 44/7*z**2 + 80/7 + 64*z.
4*(z + 10)*(11*z + 2)/7
Factor 1/6*u**3 + 106785/2*u - 107163/2 + 1133/6*u**2.
(u - 1)*(u + 567)**2/6
Factor 4088*r**2 - 2043*r**2 + 64*r - 2046*r**2 + 160 - 12 + 8*r.
-(r - 74)*(r + 2)
Let q(b) be the first derivative of 3/28*b**4 + 3/7*b - 75 + 3/7*b**3 + 9/14*b**2. Factor q(z).
3*(z + 1)**3/7
Let h(q) be the third derivative of q**6/600 + 452*q**5/25 + 408608*q**4/5 + 2955053056*q**3/15 - q**2 - 397*q. Factor h(p).
(p + 1808)**3/5
Let z = -7 - -12. Let k(w) = -2*w + 14. Let g be k(z). Factor -15*y**2 - 6*y - 12*y**3 + 2*y**4 - 7*y**g + 4*y**4 - 2*y**4.
-3*y*(y + 1)**2*(y + 2)
Let r(w) be the second deriva