or d(a).
2*(a - 1)*(a + 2)*(a + 4)
Let b = 96/983 + 3452/4915. Suppose -12/5*u**3 + 8/5*u + 0 + 4/5*u**4 + 4/5*u**5 - b*u**2 = 0. Calculate u.
-2, -1, 0, 1
Let x be (-980)/(-924) + (1 - (-40)/(-55)). Factor 44/3*q + x*q**2 + 0.
4*q*(q + 11)/3
Let m be (-3)/(-8)*(-129668)/(-231). Let l = m + -210. Factor -5/2*w + l*w**2 + 3.
(w - 3)*(w - 2)/2
Let v be (-32 - ((-197519)/(-87))/(-49)) + 13/(-1). Factor 1/3*l**4 + 0 + v*l - 1/3*l**5 + 11/3*l**2 + 3*l**3.
-l*(l - 4)*(l + 1)**3/3
Determine g, given that -16613*g + 3 - 3*g**3 + 16541*g + 42*g**2 - 3 = 0.
0, 2, 12
Let g(x) be the second derivative of x**6/15 - 19*x**5/25 - 371*x**4/30 + 248*x**3/15 + 156*x**2/5 - 1530*x. Suppose g(p) = 0. Calculate p.
-6, -2/5, 1, 13
Let 71*g**3 + 30503*g**4 + 52*g**3 + 27*g - 30491*g**4 + 138*g**2 = 0. Calculate g.
-9, -1, -1/4, 0
Let z be (-1)/(3/(-24)*1). Suppose -z*m - 18 = -17*m. Factor 2/5*a - 2/5*a**m + 0.
-2*a*(a - 1)/5
Let h(j) be the third derivative of -j**7/7980 + j**6/342 - j**5/95 - 6*j**4/19 + 23*j**3/2 + 83*j**2. Let n(y) be the first derivative of h(y). Factor n(l).
-2*(l - 6)**2*(l + 2)/19
Let z(j) be the second derivative of -j**8/4480 + j**7/560 - j**6/240 - j**4/12 - 15*j**2/2 - 9*j. Let f(i) be the third derivative of z(i). Factor f(u).
-3*u*(u - 2)*(u - 1)/2
Let u(z) be the first derivative of -z**4/36 + 22*z**3/9 - 161*z**2/2 + 10580*z/9 - 714. Factor u(m).
-(m - 23)**2*(m - 20)/9
Let k be ((-1465415)/(-40425) - 33) + (-12)/22 - 2/(-21). Factor -4*m**3 - 54/5*m**2 - 48/5*m - k.
-2*(m + 1)**2*(10*m + 7)/5
What is n in 0 - 1/6*n**2 + 14/3*n = 0?
0, 28
Let f(q) = -16*q**3 - 2*q**2 - 4*q - 2. Let p be f(-1). Suppose 49 = -p*l + 81. Let 54/5*n + 2/5*n**3 + 18/5*n**l + 54/5 = 0. Calculate n.
-3
Let v = -15 - -15. Solve v*y - 6*y + 8*y**2 + 76*y**3 - 78*y**3 = 0 for y.
0, 1, 3
Suppose -115*q = -6*q - 3*q + 163*q. Let g(l) be the second derivative of 7/24*l**3 - 1/48*l**4 + 0*l**2 + 18*l + q. Factor g(o).
-o*(o - 7)/4
Suppose -37*a + 21 = -32*a - 2*i, -2*a - a - 3*i = 0. Let c be -4*(-14)/36 + 2. Solve -16/9*d**4 + 0*d**2 + 2/9*d**5 + c*d**a + 0 + 0*d = 0 for d.
0, 4
Determine v so that -38*v**3 - 37 + 6 - 45*v**2 + 206*v - 89 + 2*v**4 - 5*v**2 + 0*v**4 = 0.
-3, 1, 20
Let u = -132346 - -132348. Let -26/5*a - 2/15 + 16/3*a**u = 0. What is a?
-1/40, 1
Let a(s) be the first derivative of s**6/33 + 2*s**5/5 + 4*s**4/11 - 40*s**3/33 + 1813. Find m, given that a(m) = 0.
-10, -2, 0, 1
Let i(k) be the first derivative of -3*k**5/5 + 255*k**4/4 + 443*k**3 + 1881*k**2/2 + 810*k + 6753. Factor i(r).
-3*(r - 90)*(r + 1)**2*(r + 3)
Let y = -23 + 12. Let k = y + 16. Let -5*w**2 - 3*w**3 + w**3 - k*w**4 + 7*w**2 + 2*w + 3*w**2 = 0. Calculate w.
-1, -2/5, 0, 1
Let d(b) = 3*b**4 - 203*b**3 + 412*b**2 - 212*b - 20. Let s(i) = -i**4 - i**3 + 2*i**2 + 4. Let h(a) = d(a) + 5*s(a). Factor h(k).
-2*k*(k - 1)**2*(k + 106)
Let v(a) = 3*a**4 - 55*a**3 - 65*a**2 + 47*a + 54. Let o(p) = 6*p**4 - 109*p**3 - 128*p**2 + 95*p + 108. Let j(l) = 4*o(l) - 7*v(l). Let j(u) = 0. Calculate u.
-1, 1, 18
Suppose -2*i**4 + 106*i - 214*i**2 - 422*i**3 + 1383*i**3 - 423*i**3 - 428*i**3 = 0. What is i?
0, 1, 53
Let m(q) be the third derivative of -q**8/2688 - 739*q**7/560 - 409221*q**6/320 + 1229881*q**5/480 - 5378*q**2. Factor m(t).
-t**2*(t - 1)*(t + 1109)**2/8
Let u(j) be the third derivative of -2/51*j**3 - 1/170*j**5 + 0*j - 1/1020*j**6 + 0 + 5/204*j**4 + 312*j**2 + 1/1785*j**7. Factor u(i).
2*(i - 1)**3*(i + 2)/17
Let t(o) be the second derivative of -3*o + 0*o**2 + 0 + 4/9*o**3 + 67/90*o**5 - 26/27*o**4 - 32/135*o**6 + 5/189*o**7. Determine k so that t(k) = 0.
0, 2/5, 1, 2, 3
Suppose 42*c - 115 - 11 = 0. Find h such that 35*h**4 - h**2 + 84*h**5 - 251*h**c - 11*h**2 - 1214*h + 52*h**4 + 80*h**3 + 1226*h = 0.
-2, -2/7, 0, 1/4, 1
Let n(i) be the third derivative of 0 + 0*i - 1/120*i**7 + 23/480*i**6 + 0*i**3 - 1/40*i**5 - 130*i**2 + 0*i**4. Factor n(z).
-z**2*(z - 3)*(7*z - 2)/4
Determine h so that -2/5*h**3 + 2*h**2 + 16/5*h - 24/5 = 0.
-2, 1, 6
Let q(z) = 11809*z - 129899. Let b be q(11). Factor 2/5*i + b + 2/5*i**3 - 4/5*i**2.
2*i*(i - 1)**2/5
Let b(j) = -j**3 + 35*j**2 + 1. Let n be b(35). Let x(d) = d**3 + d**2 - d. Let a(q) = 4*q**3 + 9*q**2 - 19*q - 40. Let i(m) = n*a(m) + x(m). Factor i(p).
5*(p - 2)*(p + 2)**2
Let v(o) be the first derivative of -2*o**3/11 - 114*o**2/11 - 222*o/11 - 264. Let v(w) = 0. Calculate w.
-37, -1
Let b = -11809 + 47239/4. Let q(n) be the first derivative of 20 - b*n**2 + 1/12*n**3 + 9/4*n. Factor q(r).
(r - 3)**2/4
Solve -2/11*z**4 + 12/11*z**3 - 24/11*z + 0 - 10/11*z**2 = 0 for z.
-1, 0, 3, 4
Let l(b) be the first derivative of 68*b**2 - 16*b**2 - 34*b**2 - 35 - b**3 - 89. Factor l(c).
-3*c*(c - 12)
Suppose -511*s - 21*s - 106*s + 1092 = -1460. Find n such that -20/3 + 2*n + 2/3*n**3 + s*n**2 = 0.
-5, -2, 1
Let g be ((-2)/12)/((-1269)/(-72) + -10 + -8). Factor 1/9*y**3 - 11/9*y + 2/3 + g*y**2.
(y - 1)**2*(y + 6)/9
Let m = 410 - 275. Let f be (2/5)/(27/m). Find l such that 0 + 3/5*l - 6/5*l**4 - 3/5*l**5 + 6/5*l**f + 0*l**3 = 0.
-1, 0, 1
Let y be -60*(-41 + 110580/2700). Suppose 2*d = -3*d + 20. Factor 0*q - y*q**3 - 8/3*q**2 - 2/3*q**d + 0.
-2*q**2*(q + 2)**2/3
Let y(v) be the second derivative of -25/3*v**4 + 1/4*v**5 + 203*v - 115/6*v**3 + 0 + 105*v**2. Determine h so that y(h) = 0.
-2, 1, 21
Let w(g) be the third derivative of 0*g**3 - 1/90*g**5 - 5*g**2 + 0*g + 1/945*g**7 + 1/54*g**4 + 10 + 0*g**6. Let w(v) = 0. Calculate v.
-2, 0, 1
Find r, given that -450*r - 2750 - 2/11*r**3 + 210/11*r**2 = 0.
-5, 55
Let x(v) be the first derivative of -5*v**3/3 + 50*v**2 - 180*v + 77. Determine q so that x(q) = 0.
2, 18
Factor -84*t**2 + 2*t**2 + 176*t**2 - 1008*t + 167*t**2 + 1419 - 423 - 3*t**3.
-3*(t - 83)*(t - 2)**2
Let i(g) be the second derivative of 4312*g**6/75 - 9807*g**5/25 + 976*g**4/3 - 392*g**3/5 - 32*g**2/5 - 2058*g - 2. Determine a so that i(a) = 0.
-1/44, 2/7, 4
Suppose h - 5/6*h**4 - 5/6*h**3 + 5/6*h**2 + 0 - 1/6*h**5 = 0. Calculate h.
-3, -2, -1, 0, 1
Let g(c) be the third derivative of 0*c + 20/3*c**3 - 2/3*c**5 - 5/8*c**4 - 34*c**2 + 1/8*c**6 + 0. Let g(w) = 0. Calculate w.
-1, 1, 8/3
Let t(b) be the third derivative of b**6/50 - 17*b**5/75 - 9*b**4/10 - 14*b**3/15 - 3401*b**2. Let t(l) = 0. Calculate l.
-1, -1/3, 7
Let v = 34 + -29. Let y be v - (3 + -3 + 2 - 1). Factor 12*t**2 - 5*t + 5*t - 15*t**2 + 9*t**3 + 3*t**5 - 9*t**y.
3*t**2*(t - 1)**3
Determine f, given that -4*f**2 + f**3 + 3416*f - f**2 - 3422*f = 0.
-1, 0, 6
Let i(u) be the second derivative of u**7/840 - u**5/10 + 31*u**4/12 + 24*u - 2. Let y(f) be the third derivative of i(f). Suppose y(o) = 0. What is o?
-2, 2
Factor i**4 - 1/6*i**5 + 0*i**2 + 0*i + 0*i**3 + 0.
-i**4*(i - 6)/6
Solve -196/9 + 200/9*t - 4/9*t**2 = 0.
1, 49
Factor 90/7*m**2 - 75*m + 0 + 3/7*m**3.
3*m*(m - 5)*(m + 35)/7
Find x such that 15/4*x**3 + 0*x + 13/4*x**4 - 15/4*x**5 - 13/4*x**2 + 0 = 0.
-1, 0, 13/15, 1
Let m be 222/9 - (-8)/(-96)*-4. Find h, given that m - 5*h**4 - 280*h + 15*h**3 - 20*h**2 + 15*h**3 + 250*h = 0.
-1, 1, 5
Let g(n) = -n**2 + 17*n - 34. Let r be g(14). Let 8*c**5 + r*c**2 - 48*c**3 - 6 + 44*c + 16*c**4 - 18 + 10*c**5 - 14*c**5 = 0. Calculate c.
-6, -1, 1
Find k such that 16*k**4 - 355*k**2 - 169*k**2 - 8*k**3 + 28*k**3 - 124*k**2 - 4*k**5 + 2592 + 184*k**3 - 2160*k = 0.
-6, -3, 1, 6
Suppose -6*r**3 - 336/5*r + 2524/5*r**2 + 0 = 0. What is r?
0, 2/15, 84
Let b(j) be the third derivative of 1/1365*j**7 - 4*j**2 - 1/195*j**6 + 5/39*j**3 + 16*j - 1/65*j**5 + 1/39*j**4 + 0. Determine h so that b(h) = 0.
-1, 1, 5
Suppose -9*c + 29 = -3 + 5. Let s(w) be the third derivative of 0*w + 3/32*w**4 + 1/4*w**c + 0 + 1/80*w**5 + 16*w**2. Find t, given that s(t) = 0.
-2, -1
Let y(a) be the first derivative of -a**5 + a**4/2 + 179*a**3/15 - 18*a**2/5 - 324*a/5 - 552. Solve y(g) = 0.
-9/5, 2
Suppose -l + 4*a + 21 = 0, -17*l + 84 = -13*l + 2*a. Let q be (12 + 9 + -19)/(l/18). Solve 4/7*t**2 - q*t - 16/7 = 0.
-1, 4
Let l(v) be the third derivative of -4/3*v**3 - 4/3*v**4 - 6*v**2 + 3/10*v**5 + 2*v + 0. Factor l(t).
2*(t - 2)*(9*t + 2)
Factor 179*p**2 - 344*p**2 - 170*p + 171*p**2 + 58*p**3 + 0*p**4 - 2*p**4 - 116.
-2*(p - 29)*(p - 2)*(p + 1)**2
Let r(s) = s - 1. Let i(m) be the third derivative of m**5/60