m(t) = 0.
0, 1
Let f(y) be the second derivative of y**6/60 + 29*y**5/40 + 7*y**4/6 + 973*y. Factor f(u).
u**2*(u + 1)*(u + 28)/2
Suppose -96 = -10*f - 6. Find d, given that -8*d**2 + 15*d**2 - 4*d**4 - d**5 - f*d**3 + 2*d**4 - 2*d + 7*d**4 = 0.
0, 1, 2
Let q(s) be the first derivative of 8*s**2 + 0*s - 4/3*s**3 + 22. Factor q(w).
-4*w*(w - 4)
Let a = -1401223/4 + 350308. Factor 3/4*h**4 - 3/2 - a*h + 3/4*h**2 + 9/4*h**3.
3*(h - 1)*(h + 1)**2*(h + 2)/4
Let w(l) be the third derivative of l**6/420 + 3*l**5/140 + l**4/56 - 2*l**3/21 - 1133*l**2 - 4. Factor w(r).
(r + 1)*(r + 4)*(2*r - 1)/7
Let o = 3746 - 3725. Let p(l) be the first derivative of -5/4*l - 1/4*l**5 - o - 5/8*l**2 + 5/6*l**3 + 5/8*l**4 - 5/24*l**6. Factor p(v).
-5*(v - 1)**2*(v + 1)**3/4
Let f be (-3)/6 - (-2 + (-84)/8). Factor 18 - 2 + f*v - 5*v**2 + 13*v**2 - 6*v**2.
2*(v + 2)*(v + 4)
Let s(b) = b**3 - 13*b**2 - 3165*b + 31954. Let k be s(10). What is m in 180/11*m**2 + 8/11*m**k + 0*m + 2/11*m**5 - 102/11*m**3 + 0 = 0?
-10, 0, 3
Factor 3/4*v**2 - 27/4*v - 729/2.
3*(v - 27)*(v + 18)/4
Suppose 5*i - 12*i + 266 = 0. Factor 56*a + 73*a**2 + 6*a**4 + 2*a**4 - 27*a**2 + i*a**3 - 46*a - 6.
2*(a + 1)**2*(a + 3)*(4*a - 1)
Let k(c) = 3*c**5 - c**4 - c**3 + c**2 + c. Let w(j) = 8*j**5 + 110*j**4 + 324*j**3 + 458*j**2 + 310*j + 80. Let x(a) = 4*k(a) + 2*w(a). Factor x(p).
4*(p + 1)*(p + 2)**3*(7*p + 5)
What is n in -332*n**3 - 40 + 240*n**2 + 5*n - 2094*n**5 + 136*n**4 - 3*n + 2088*n**5 = 0?
-1/3, 1, 20
Let s(a) = -3*a + 9. Let z be s(-2). Suppose r + z = 2*r. Factor -29*m - 3 - 21*m**2 - 27*m - r - 13*m.
-3*(m + 3)*(7*m + 2)
Let v(y) = 3*y**2 + 21*y - 21. Let t be v(-8). Factor -2 + 8 + 206*x + 2 - 5*x**2 + x**t - 204*x.
(x - 4)*(x - 2)*(x + 1)
Let q = 782348/502857 + -14/55873. Let q + 4/3*r - 2/9*r**2 = 0. What is r?
-1, 7
Let y(p) = 5*p**3 - 147*p**2 - 242*p - 90. Let c(j) = -16*j**3 + 444*j**2 + 728*j + 268. Let n(f) = 3*c(f) + 8*y(f). Factor n(r).
-4*(r - 21)*(r + 1)*(2*r + 1)
Let l(p) be the third derivative of -p**5/15 + 217*p**4/24 - 71*p**3/2 + 1859*p**2. Determine v, given that l(v) = 0.
1, 213/4
Let f(b) be the first derivative of -2*b**6/21 - 34*b**5/35 - 22*b**4/7 - 100*b**3/21 - 26*b**2/7 - 10*b/7 - 856. Find d, given that f(d) = 0.
-5, -1, -1/2
Let q(d) be the first derivative of d**3/5 - 27*d**2/5 - 432*d/5 - 302. Find b such that q(b) = 0.
-6, 24
Let v be -26 + (-18 - 55/44*-46). Find o such that -v*o - 9/2 + 5*o**2 = 0.
-3/10, 3
Let t(x) be the first derivative of -841*x**5/20 - 203*x**4/2 + 1319*x**3/6 - 22*x**2 + 3*x/4 - 4387. Find q such that t(q) = 0.
-3, 1/29, 1
Suppose 202 = -143*i + 144*i. Let n = 204 - i. Let -6*x**3 - 3/4*x**4 - 21*x - 9 - 69/4*x**n = 0. What is x?
-3, -2, -1
Let l be (-1017)/(-42)*572/(-39). Let q = -354 - l. Factor 2/7*s**2 + 8/7 + q*s.
2*(s + 2)**2/7
Let f = -281/17 - -4925/119. Let r = f - 849/35. Determine b, given that r*b**2 + 9/5*b + 0 = 0.
-3, 0
What is d in 582/7*d**2 - 168*d + 3/7*d**3 + 0 = 0?
-196, 0, 2
Factor 42*l**2 + 6710*l - 4*l**3 + 4900 + 2*l**2 + 6773*l - 12279*l.
-4*(l - 25)*(l + 7)**2
Let b be (-475)/57*24/(-40). Let z(c) be the first derivative of -5/4*c**4 + 0*c - 5*c**2 - b*c**3 - 12. Determine d, given that z(d) = 0.
-2, -1, 0
Let u be (2*(-3)/33 - 7296/(-12540))/2. Factor 1/5*z - 2/5*z**3 - u*z**4 - 1/5 + 2/5*z**2 + 1/5*z**5.
(z - 1)**3*(z + 1)**2/5
Let t(m) be the first derivative of -m**4/96 + m**3/12 + 56*m + 75. Let i(h) be the first derivative of t(h). Find g such that i(g) = 0.
0, 4
Let j be (31 - (-12635)/(-420))*(-2)/(-11). Factor -3*h - 27/2 - j*h**2.
-(h + 9)**2/6
Solve 22776/7*g - 2704/7 + 252*g**2 + 34/7*g**3 = 0 for g.
-26, 2/17
Let i(n) be the third derivative of -n**7/210 + 9*n**6/10 - 52*n**5 + 1352*n**4/3 + 23*n**2 - 21*n. Solve i(x) = 0.
0, 4, 52
Suppose 0 = 637*y - 634*y + 3. Let d be (-2)/(-15) - ((-215)/(-75))/y. Let -2/13*m**d + 0*m + 0 + 12/13*m**4 + 0*m**2 - 18/13*m**5 = 0. What is m?
0, 1/3
Suppose -s + 3*v - 460 + 42 = 0, s + 394 = -3*v. Let r be (-58)/s - (0 + -1). Suppose 0 + 4/7*f**3 - 8/7*f**4 - 4/7*f**5 + 0*f + r*f**2 = 0. Calculate f.
-2, -1, 0, 1
Let r be (2/5)/((-3)/(-30)). Let z be 1955/68 + -41 + 13. Let r*m**3 + z*m**2 + 15/4*m**4 + 0 - 1/2*m + m**5 = 0. Calculate m.
-2, -1, 0, 1/4
Let t(k) be the third derivative of k**8/448 - k**7/8 - 147*k**6/80 + 2423*k**2 - k. Factor t(a).
3*a**3*(a - 42)*(a + 7)/4
Find s, given that -310/3*s**3 - 2410/3*s**2 - 804*s**5 - 518/3*s + 4/3 + 1882*s**4 = 0.
-1/3, 1/134, 1, 2
Let n(f) be the first derivative of -7/9*f**3 + 0*f + 1/15*f**5 - 1/6*f**4 + 37 - 2/3*f**2. Factor n(v).
v*(v - 4)*(v + 1)**2/3
Find w, given that 42532/5 + 8*w**3 + 2016/5*w**2 + 16856/5*w - 4/5*w**4 = 0.
-7, 31
Let l(u) = -3*u**3 - 40*u**2. Suppose 2*m - 4*m = -12. Let z(k) = 3*k**3 + 39*k**2. Let g(c) = m*l(c) + 5*z(c). Determine r, given that g(r) = 0.
-15, 0
Let z(h) be the first derivative of h**4/12 + 2*h**3/9 - 5*h**2/6 - 2*h + 8651. Factor z(j).
(j - 2)*(j + 1)*(j + 3)/3
Suppose -471*c + 2*k - 66 = -474*c, 5*c + 3*k - 105 = 0. Factor c*l - 1/3*l**3 + 16/3*l**2 + 0.
-l*(l - 18)*(l + 2)/3
Factor 140863 + 679202 + 287007 - 547584*x - 2968*x**2 - 4*x**3.
-4*(x - 2)*(x + 372)**2
Let t(g) = g**2 + 8*g - 19. Let u be t(-10). Let k be ((-8)/10)/(u/(-10)). Factor 16 - 3*p - k*p - 4*p**2 - p + 0*p.
-4*(p - 1)*(p + 4)
Suppose 0 = 4*z, 9*k + 2*z - 30 = 4*k. Let w be k + (-1)/((-4)/96*-6). Suppose -6/7*j**3 + 0 + 3/7*j**4 - 12/7*j - 3*j**w = 0. What is j?
-1, 0, 4
Let l(a) be the second derivative of a**6/225 - 2*a**5/75 + a**4/90 + 2*a**3/15 - 26*a + 2. Let l(r) = 0. Calculate r.
-1, 0, 2, 3
Suppose -59*p - 1 = -56*p - 7. Let x(q) be the first derivative of -q**p - 1 + 0*q - 1/3*q**3. Solve x(h) = 0.
-2, 0
Suppose -2/5*j**2 - 736/5*j - 67712/5 = 0. What is j?
-184
Let x(k) be the second derivative of -k**4/24 + 61*k**3/3 + 245*k**2/4 - 1324*k. Factor x(b).
-(b - 245)*(b + 1)/2
Let -123*o**2 - 712*o + 124*o**2 + 906*o + 384 = 0. What is o?
-192, -2
Let j(r) = -9*r**2 - 18*r + 36. Let w(q) = -20 - 2 + 8*q + 7*q**2 + 15*q - 14 - 4*q. Let u(v) = -5*j(v) - 6*w(v). Determine l so that u(l) = 0.
2, 6
What is j in 21*j**2 - 9/2 - 27*j**3 + 39/2*j - 33/2*j**4 + 15/2*j**5 = 0?
-1, 1/5, 1, 3
Let v(w) be the third derivative of w**7/168 + 17*w**6/72 - 49*w**3/3 + 4*w**2 + 3*w. Let q(a) be the first derivative of v(a). Factor q(i).
5*i**2*(i + 17)
Find z, given that -2/15*z**2 - 28/3*z + 96/5 = 0.
-72, 2
Suppose 2*w = 3*z + z - 10, -2 = -2*z + 4*w. Suppose -12*k**2 - 7*k**3 + 0*k**z - 12*k - 4*k**2 + 3*k**3 = 0. Calculate k.
-3, -1, 0
Let 82*r - 20*r**4 + 22*r**4 - 5*r + 72 + 126*r**2 + 93*r + 30*r**3 = 0. Calculate r.
-9, -4, -1
Let n be 5/65 + 1029/312. Let l = -3439 + 3441. Factor -3/8*k**3 - 9/4*k**l - n*k - 3/2.
-3*(k + 1)**2*(k + 4)/8
Let s(w) = -6*w**2 - 35*w + 9. Let t be s(-6). Factor -77*o**t + 17*o**4 + 95*o**3 - 14*o**4.
3*o**3*(o + 6)
Let k(o) be the first derivative of 45*o**2/2 - 348*o + 123. Let y be k(8). Factor -3*h - 3/2*h**2 + 0 - 15/2*h**4 + y*h**3.
-3*h*(h - 1)**2*(5*h + 2)/2
Let d = -215 + 215. Suppose d = -5*s + 48*s - 129. Factor z**2 + 0*z - 1/2*z**s + 0.
-z**2*(z - 2)/2
Suppose 9*q - 310 = -22. Factor -2*l - 31*l**2 + q*l**2 + 12*l.
l*(l + 10)
Suppose 10 = -191*k + 540 + 425. Determine l so that -175/3*l**4 - 10090/3*l**3 - 1/3*l**k - 205379/3 + 400315/3*l - 184670/3*l**2 = 0.
-59, 1
Let o = 420025 - 2935413/7. Let v = o - 678. Determine m, given that 6/7*m**2 - 6/7 - v*m = 0.
-1/3, 3
Let c be 6 + 261/(-72) - 1/8*3. Let o(h) be the third derivative of 0*h**4 + 0 - 6*h**c + 0*h**3 + 0*h + 1/60*h**5 + 1/80*h**6 + 1/420*h**7. Factor o(w).
w**2*(w + 1)*(w + 2)/2
Let o be -1 + (3 - 0) + 52 + -11. Suppose -37*z - 18 = -o*z. Suppose 0 - 10/23*l**2 - 2/23*l**z + 0*l = 0. What is l?
-5, 0
Let k = 4/293 - 2241/142691. Let h = k + 491/1948. Solve -h - 3/8*j - 1/8*j**2 = 0 for j.
-2, -1
Let p = 26402/15 - 1760. What is u in -2/15*u**2 + 2/15*u + p - 2/15*u**3 = 0?
-1, 1
Let z(p) = 3*p + 36. Let w be z(-11). Factor -194*j**2 - 75*j**w - 2*j**5 - 3*j**5 - 41*j**4 + 6*j**4 + 149*j**2.
-5*j**2*(j + 1)*(j + 3)**2
Factor 11/2*q + 3*q**3 - 1/2*q**5 - 7*q**2 + 1/2*q**4 - 3/2.
-(q - 1)**4*(q + 3)/2
Let l = 486531 + -486528. Suppose -6/13*n + 2/13*n**4 + 0 - 10/13*n**l + 14/13*n**2 = 0