 + 2*a = -6, -a = 2. Let r be (-24)/(-39)*(-4615)/(-1775). Determine h so that -r*h + 2/5*h**v - 2 = 0.
-1, 5
Let c(d) be the first derivative of -d**6/60 + d**5/24 - 16*d**3/3 - 52. Let p(q) be the third derivative of c(q). What is l in p(l) = 0?
0, 5/6
Let m(n) be the first derivative of n**4 + 644*n**3 + 3147. Factor m(h).
4*h**2*(h + 483)
What is q in -97 - 1/8*q**2 + 777/8*q = 0?
1, 776
Let n be -7 - ((-20185)/(-220))/(1/(-4)). Let t be (-8)/(n/(-477)) + -9. Factor 0 - 2*q - t*q**2 + 2/5*q**3.
2*q*(q - 5)*(q + 1)/5
Let v(l) be the first derivative of -49*l**6/3 + 1554*l**5/5 - 958*l**4 + 17824*l**3/21 - 2304*l**2/7 + 416*l/7 - 1803. Solve v(w) = 0 for w.
2/7, 2, 13
Let r(g) = 46*g - 2710. Let z be r(59). Let x(k) be the second derivative of 0*k**2 - z*k + 3/80*k**5 + 0 + 1/2*k**3 + 1/4*k**4. Factor x(m).
3*m*(m + 2)**2/4
Let d(z) be the second derivative of -z**4/6 + 444*z**3 - 443556*z**2 + 9296*z. Determine t so that d(t) = 0.
666
Let w be 21000/(-2520) + -1 + (-202)/(-21). Find m such that -16/7*m**3 - 24/7 - 8*m - w*m**4 - 46/7*m**2 = 0.
-3, -2, -1
Let t(c) be the first derivative of -3*c**5/20 - 105*c**4/16 - 99*c**3 - 486*c**2 + 1296*c + 940. Determine o, given that t(o) = 0.
-12, 1
Factor 3/7*q**3 + 0 + 744/7*q**2 + 46128/7*q.
3*q*(q + 124)**2/7
Let a(h) be the first derivative of -2*h**3/9 + 394*h**2 - 232854*h + 2613. Factor a(d).
-2*(d - 591)**2/3
Let a be 20 + 5725/75 + -23 - 12. Solve 12*z**5 + 14*z**4 - a*z + 376/3*z**2 + 32/3 - 302/3*z**3 = 0 for z.
-4, 1/2, 2/3, 1
Let o be (6 - 4 - 5)*(2 + -13). Let d = -31 + o. Factor 4*l**2 + 0*l**2 - 8*l**d + 16.
-4*(l - 2)*(l + 2)
Factor 46*j**4 + 706/5*j**2 + 0 - 702/5*j**3 + 2/5*j**5 - 236/5*j.
2*j*(j - 1)**3*(j + 118)/5
Factor -284 - 113*y**2 + 48*y**2 + 35*y**2 + 364*y + 34*y**2 - 84.
4*(y - 1)*(y + 92)
Let h(d) be the first derivative of -8/3*d - 155 - d**2 + 2/9*d**3. Factor h(p).
2*(p - 4)*(p + 1)/3
Let r(x) be the third derivative of x**6/120 - 59*x**5/180 - 5*x**4/18 + 6076*x**2. Factor r(p).
p*(p - 20)*(3*p + 1)/3
Suppose 31*m**2 + 181*m**2 + 29*m**3 + 62*m**3 + 137*m**2 + m**4 - 84*m - 522 + 165*m = 0. Calculate m.
-87, -3, -2, 1
Let w(v) be the first derivative of v**5 + 105*v**4/4 + 55*v**3 - 505*v**2/2 - 570*v + 341. Let w(u) = 0. Calculate u.
-19, -3, -1, 2
Let r be 2/4*(17 + -7). Let k(u) be the first derivative of 18/5*u**r + 2/3*u**3 + 0*u**2 - 18 - 3*u**4 + 0*u - 4/3*u**6. Factor k(v).
-2*v**2*(v - 1)**2*(4*v - 1)
Factor -35*b - 3*b + 67 - 235 - 13*b - 25*b + 4*b**2.
4*(b - 21)*(b + 2)
Let u = -16/3149 + 9479/6298. Let u*o**2 + 1/6*o**4 + 1/3 - 5/6*o**3 - 7/6*o = 0. What is o?
1, 2
Let m(f) be the first derivative of -f**5/80 - f**4/8 - 109*f**2/2 - 171. Let j(q) be the second derivative of m(q). Determine y so that j(y) = 0.
-4, 0
Factor -2790/7 - 1/7*i**3 - 316/7*i**2 - 267*i.
-(i + 3)**2*(i + 310)/7
Factor -5*b**2 + 21418 - 17393 + 53*b - 593*b.
-5*(b - 7)*(b + 115)
Let z(f) be the second derivative of f**5/60 + 179*f**4/12 + 23941*f**3/6 - 72361*f**2/6 + 1273*f - 2. Factor z(i).
(i - 1)*(i + 269)**2/3
Suppose -g = 4*q - 1249, 5*q - 1565 = g - 3*g. Find i such that 0*i**2 - 300 + 3*i - i**2 + 7*i + q = 0.
-1, 11
Suppose 5*r + 629*a = 637*a + 42, 3*a + 12 = 0. Factor 3*q + 3/4*q**r + 0.
3*q*(q + 4)/4
Suppose -3*w + 28 = -4*q, -15 = -2*w + 4*q + 1. Suppose -w*v**2 - 20 + 20 + 4*v + 4*v = 0. Calculate v.
0, 2/3
Let z be (-90 + 34 - -58)/(-2 - 4*-2). Determine c so that 7/3*c - 6 + z*c**2 = 0.
-9, 2
Let b(y) be the third derivative of y**7/315 + 11*y**6/180 + 8*y**5/45 - 7*y**4/3 - 27*y**2 - 7. What is a in b(a) = 0?
-7, -6, 0, 2
Suppose 0 + 69/5*s**2 + 3/5*s**4 - 21*s + 33/5*s**3 = 0. Calculate s.
-7, -5, 0, 1
Suppose d - 22 + 19 = 0, -5*g = -d - 22. Let q(z) be the second derivative of 1/140*z**g - 12*z + 0*z**3 + 0*z**4 + 0 + 0*z**2. Factor q(s).
s**3/7
Let s(b) be the first derivative of b**5/6 + 8*b**4/3 - 20*b**3/9 - 58*b + 55. Let r(c) be the first derivative of s(c). Factor r(w).
2*w*(w + 10)*(5*w - 2)/3
Let i(v) = v**3 + 37*v**2 + 29*v - 100. Let z be i(-37). Let m = z - -10561/9. Factor 8*n**3 + 244/9*n**2 + m*n**4 - 80*n + 400/9.
4*(n - 1)**2*(n + 10)**2/9
Let u(j) be the first derivative of -1/2*j**2 + 5/12*j**3 - 15 - 1/8*j**4 + 33*j. Let h(c) be the first derivative of u(c). Suppose h(w) = 0. Calculate w.
2/3, 1
Suppose -19*g - 7 = -20*g - 5. What is w in -2/3*w + 2/3*w**3 - 2/3*w**g + 2/3 = 0?
-1, 1
Let c(s) = -s**3 - 16*s**2 - 12*s + 60. Let k be c(-15). Suppose 15 = -5*q + 9*p - 4*p, -5*p = -q - k. Factor -5*t**3 - 8*t**2 + 16/3*t - 2/3*t**4 + q.
-t*(t + 4)**2*(2*t - 1)/3
Find m such that -22*m**2 + 100*m**3 - 163/2*m**4 + 7/2*m**5 + 0*m + 0 = 0.
0, 2/7, 1, 22
Let l be ((-9)/(-63))/((-270)/(-35)). Let s(j) be the second derivative of -18*j - 2/9*j**2 + 0 + 1/27*j**3 + l*j**4. Find p such that s(p) = 0.
-2, 1
Suppose 96*l - 2/3*l**2 + 290/3 = 0. What is l?
-1, 145
Let q(x) be the first derivative of -11*x**2 + x**3 - 54 - 4*x**2 - 145. Factor q(o).
3*o*(o - 10)
Let g(u) = -11*u**4 + 174*u**3 - 2154*u**2 + 8640*u. Let p(o) = -35*o**4 + 520*o**3 - 6460*o**2 + 25920*o. Let v(h) = -10*g(h) + 3*p(h). Factor v(m).
5*m*(m - 12)**3
Let y = -25 + 28. Let w be (3/(-2))/(y - (-35)/(-10)). Let j**3 + w*j**3 + 0*j**3 + j - 5*j**3 = 0. Calculate j.
-1, 0, 1
Let b = 795 - -2496. Factor -20*t + b*t**2 - 80 - 3286*t**2 - 10*t.
5*(t - 8)*(t + 2)
Let v = 1 - 2/5. Let h be -2 - -6 - -3 - 5. Let -9/5*d**5 + 0*d - v*d**4 + 9/5*d**3 + 3/5*d**h + 0 = 0. What is d?
-1, -1/3, 0, 1
Let x(a) = -3*a**4 + 38*a**3 - 354*a**2 - 185*a + 5. Let n(y) = 7*y**4 - 79*y**3 + 709*y**2 + 371*y - 11. Let r(k) = -5*n(k) - 11*x(k). Solve r(w) = 0.
-20, -1/2, 0, 9
Suppose 2 = -3*m - 37. Let o = -33 - m. Let c(h) = 16*h**3 - 12*h**2 - 8*h. Let q(p) = p**3. Let x(z) = o*q(z) + c(z). Factor x(n).
-4*n*(n + 1)*(n + 2)
Let z(j) = -2*j**2 + 44*j - 42. Let p(m) = m - 1. Suppose 3*a + 4*y - 4 = a, -2*y = -a + 14. Let c(s) = a*p(s) + z(s). Solve c(d) = 0.
1, 25
Let s(m) be the first derivative of m**5/30 - 139*m**4/24 - 218*m**3/3 - 883*m**2/3 - 1480*m/3 - 12463. Find p such that s(p) = 0.
-5, -2, 148
Let z(f) = -f**2 + 10*f. Let j be z(10). Let 3*d + 3*d**3 - 3*d**3 + j*d**3 + 3*d**3 - 6*d**2 = 0. What is d?
0, 1
Let q(o) be the second derivative of 7*o**5/16 + 103*o**4/24 + 35*o**3/3 + 8*o**2 - 228*o + 1. What is h in q(h) = 0?
-4, -8/5, -2/7
Let l(u) be the second derivative of -129*u + 0 + 0*u**4 + 1/4*u**3 - 3/40*u**5 - 1/40*u**6 + 3/8*u**2. Solve l(q) = 0.
-1, 1
Suppose -7*d = -11*d + 120. Suppose -d*f - 81 = -57*f. Factor 1/3*g + 7/6*g**2 - 1/6 + 2/3*g**f.
(g + 1)**2*(4*g - 1)/6
Let c(z) be the second derivative of z**8/8400 + z**7/2100 - z**3/6 + 53*z**2/2 - 51*z - 2. Let d(i) be the second derivative of c(i). Factor d(p).
p**3*(p + 2)/5
Let i(r) be the first derivative of r**6/3 - 72*r**5/5 + 162*r**4 - 1137. Suppose i(f) = 0. What is f?
0, 18
Let m = -3920 - -1114. Let f = m - -36480/13. Solve -f*c**3 + 12/13*c**2 - 24/13*c + 16/13 = 0 for c.
2
Let q(c) be the second derivative of 1/2*c**4 + 1/21*c**7 + 0*c**2 - 1/5*c**6 + 1/10*c**5 + 0 - 2/3*c**3 + 22*c. Let q(v) = 0. Calculate v.
-1, 0, 1, 2
Suppose 816802 - 817570 = -192*b. Suppose 2*j + 8/3*j**2 - 4/3 - b*j**3 + 2*j**5 - 4/3*j**4 = 0. Calculate j.
-1, 2/3, 1
Factor 496*n - 31/2*n**3 + 256 + 897/4*n**2 + 1/4*n**4.
(n - 32)**2*(n + 1)**2/4
Factor 1/4*z**2 + 18 + 19/2*z.
(z + 2)*(z + 36)/4
Let x(u) be the third derivative of u**6/180 + 11*u**5/9 + 211*u**4/12 + 104*u**3 - 3850*u**2. Let x(a) = 0. Calculate a.
-104, -3
Find h such that 867 - 277598*h**5 - 762*h**3 + 99*h**4 - 376*h**2 - 590*h**2 + 765*h + 277595*h**5 = 0.
-1, 1, 17
Let g(s) = -s**2 + 12*s + 31. Let h be 0 + (6 - -4) - -4. Let b be g(h). What is v in b*v**3 + 0*v**2 + 5 + 6*v**2 - 5 = 0?
-2, 0
Factor 3792/5*m**2 + 902484/5*m + 4/5*m**3 + 1789832/5.
4*(m + 2)*(m + 473)**2/5
Let g = 973365/44 - 88487/4. Solve g*k**2 + 10/11*k - 2/11*k**3 + 6/11 = 0 for k.
-1, 3
Let c(v) = -2*v**2 + 8054*v - 4080406. Let i(y) = -5*y**2 + 24149*y - 12241221. Let w(p) = -7*c(p) + 2*i(p). Factor w(l).
4*(l - 1010)**2
Let w(m) be the first derivative of 0*m**2 + 1/72*m**6 + 14 + 0*m - 6*m**3 + 0*m**4 - 1/24*m**5. Let c(k) be the third derivative of w(k). Factor c(b).
5*b*(b - 1)
Let j(l) be the seco