- 9/2*m**3 + 35/6*m**2 = 0. What is m?
-6, -5, -1, 2
Let u(i) be the first derivative of i**5/45 + 43*i**4/36 + 440*i**3/27 - 242*i**2/9 + 1932. Find h, given that u(h) = 0.
-22, 0, 1
Let r(i) be the first derivative of -i**8/420 - i**7/210 + i**6/30 + i**5/6 + i**4/3 - 36*i**3 - 41. Let d(g) be the third derivative of r(g). Factor d(l).
-4*(l - 2)*(l + 1)**3
Factor -56*j**2 + 2 - 53*j**2 - 44*j**2 + 151*j**2.
-2*(j - 1)*(j + 1)
Solve 6731 - 3047 + 32388 + 17106 - 428*i + i**2 - 7382 = 0.
214
Suppose 9*l = 7*l. Let h(v) = -4593*v - 27554. Let r be h(-6). Suppose -4/5*c**3 + 14/5*c**r + 0 + l*c**2 + 0*c = 0. Calculate c.
0, 2/7
Let q(y) be the first derivative of -1/360*y**5 + 0*y**3 + 0*y + 1/48*y**4 + 3/2*y**2 - 1. Let c(w) be the second derivative of q(w). Factor c(j).
-j*(j - 3)/6
Let r = 58 + -56. Factor 14*o**5 + 2*o**4 + 0*o**2 - 11*o**5 + 15*o**3 - 6*o**r - 14*o**4.
3*o**2*(o - 2)*(o - 1)**2
Determine w so that 4/9*w**4 - 10/3*w**3 + 20/3*w**2 - 8/3 - 10/9*w = 0.
-1/2, 1, 3, 4
Let s be 75/3500*6/9. Let p(n) be the third derivative of 0 - 8*n**2 + 13/300*n**5 + 1/40*n**4 + 7/200*n**6 + 0*n**3 + s*n**7 + 1/420*n**8 + 0*n. Factor p(j).
j*(j + 1)**3*(4*j + 3)/5
Solve 0*y - 72 - 2*y - 1854*y**2 + 14*y**3 + 1926*y**2 - 12*y**3 = 0.
-36, -1, 1
Suppose 4*c - 1 = y, 2*c + 1 = y - 0*y. Let -388 + 196 - 3*d**4 - y*d**2 + 192 + 6*d**3 = 0. Calculate d.
0, 1
Let r be (176/220)/((-2)/(-5) - 0). Suppose 4*g + 3*p = -2*p + 27, g + r*p = 9. Factor -15*k + 2*k**3 + 5*k**3 + 12*k**g - 10*k**4 + 6*k**3 + 20*k**2.
-5*k*(k - 3)*(k + 1)*(2*k - 1)
Let n(s) = 7*s + 17. Let u be n(7). Suppose 2*h = 6, -u = -a - 2*h - 15. Factor 45*f + 5*f**2 - a*f - 20.
5*(f - 2)*(f + 2)
Let t(d) be the second derivative of d**4/78 + 2*d**3/13 - 16*d**2/13 - 13*d - 21. Determine k so that t(k) = 0.
-8, 2
Let 81/4 + 63/4*r - 1/4*r**5 - 31/2*r**3 + 17/4*r**4 - 49/2*r**2 = 0. Calculate r.
-1, 1, 9
Let n(l) be the second derivative of -l**6/75 + 44*l**5/5 - 16133*l**4/10 - 88*l**3/3 + 9680*l**2 - 1875*l. What is g in n(g) = 0?
-1, 1, 220
Let t(m) = 11*m**2 + 8*m - 19. Let q be t(5). Factor -297*h**5 - 2*h**3 + q*h**5 + 3*h**3.
-h**3*(h - 1)*(h + 1)
Suppose -37 = 6*c + 59. Let q be -4 - (c/(-24) + -6). Let 4/3*i + 4/3 - q*i**3 - 4/3*i**2 = 0. Calculate i.
-1, 1
Let v(y) = -4*y**2 - 2*y - 1. Let a(t) = -51*t**2 + 333*t + 1464. Let i(c) = a(c) - 12*v(c). What is l in i(l) = 0?
-4, 123
Let x(q) = 162*q - 37098. Let m be x(229). Suppose 0*y + m + 3/2*y**4 + 9/2*y**5 + 0*y**2 - 3*y**3 = 0. What is y?
-1, 0, 2/3
Let p(v) be the first derivative of 2*v**5/65 - 51*v**4/13 + 400*v**3/39 + 6996. Factor p(z).
2*z**2*(z - 100)*(z - 2)/13
Let u(b) be the second derivative of 12/5*b**2 + 13/15*b**3 + 1/30*b**4 - 62*b + 0. Find h such that u(h) = 0.
-12, -1
Solve 0 + 2*h - 7/2*h**3 + 2*h**2 - 2*h**4 + 3/2*h**5 = 0 for h.
-1, -2/3, 0, 1, 2
Let m(w) = -2*w**3 - 3*w**2. Let k(t) = 7*t**3 + 568*t**2 + 5*t - 550. Let d(i) = -k(i) - 6*m(i). Solve d(o) = 0 for o.
-1, 1, 110
Let b(s) be the first derivative of 10/7*s**2 + 1/21*s**3 + 32 + 0*s. Factor b(f).
f*(f + 20)/7
Let p(t) be the first derivative of -t**3/2 + 2721*t**2/4 + 1362*t - 310. Suppose p(g) = 0. Calculate g.
-1, 908
Let f(z) = 4*z**3 + 120*z**2 - 3758*z + 19796. Let q(b) = -53*b**3 - 1541*b**2 + 48853*b - 257346. Let j(h) = -27*f(h) - 2*q(h). Find p, given that j(p) = 0.
-99, 10
Let 1182/7*a**2 + 3/7*a**5 - 1152/7 - 30/7*a**4 + 96/7*a - 99/7*a**3 = 0. Calculate a.
-6, -1, 1, 8
Let k be (3 - 148/10)*(-2 + -3). Suppose -2*l + k = 47. Factor -15*d**2 + l*d**3 - 21*d**3 + 20 + 8*d**3 + 12*d**3.
5*(d - 2)**2*(d + 1)
Let d(p) be the second derivative of 0*p**4 + 5/42*p**7 - 8 - 4*p + 4*p**5 + 0*p**3 + 0*p**2 + 4/3*p**6. Find s such that d(s) = 0.
-4, 0
Let b(h) be the second derivative of -3/10*h**3 + 0*h**2 + 3/100*h**5 - 1/10*h**4 + 234*h + 0. Factor b(p).
3*p*(p - 3)*(p + 1)/5
Let r(f) = -9*f**2 - 282*f - 588. Let s(y) = -y**2 - 6. Let u(o) = -r(o) + 6*s(o). Factor u(k).
3*(k + 2)*(k + 92)
Let s(c) be the third derivative of 1/112*c**8 + 0 - 1/35*c**7 + 9/10*c**5 + 27/8*c**4 - 51*c**2 + 0*c + 0*c**3 - 3/10*c**6. Solve s(k) = 0.
-3, -1, 0, 3
Let x(j) be the third derivative of j**2 - 3/80*j**5 - 9 + 0*j + 0*j**3 - 1/320*j**6 + 7/64*j**4. Factor x(c).
-3*c*(c - 1)*(c + 7)/8
Solve -38/7*q - 132/7 + 2/7*q**2 = 0 for q.
-3, 22
Let x(r) be the second derivative of -2 + 328/27*r**3 - 452/27*r**4 - 12*r**7 - 119/45*r**5 - 32/9*r**2 + 346/15*r**6 + 79*r. Let x(p) = 0. Calculate p.
-4/7, 2/9, 1/2, 1
Let y(a) be the second derivative of -a**6/105 + a**5/70 + 32*a**4/21 - 64*a**3/21 - 368*a. Determine j, given that y(j) = 0.
-8, 0, 1, 8
Let v(n) = -4*n - 123. Let o be v(-30). Let h be o/12*(-48)/60. Factor 16/5 + 8/5*f + h*f**2.
(f + 4)**2/5
Let c(i) be the first derivative of -i**4/4 - i**3 + 2*i**2 + 5*i - 20. Let a be c(-4). Factor 39*k + 16*k**2 - k**2 - 59*k + a*k**3.
5*k*(k - 1)*(k + 4)
Let k(u) be the first derivative of u**7/168 + u**6/72 - u**5/12 + 2*u**3 + 7*u - 4. Let q(y) be the third derivative of k(y). Find x, given that q(x) = 0.
-2, 0, 1
Factor 6*x**2 + 386 + 184*x**3 - 556*x - 18 + 76*x**4 - 236*x**4 + 82*x**4 + 76*x**4.
-2*(x - 92)*(x - 1)**2*(x + 2)
Let n(q) be the first derivative of -q**4/27 - 4*q**3/3 - 18*q**2 + 167*q - 135. Let l(u) be the first derivative of n(u). Solve l(t) = 0 for t.
-9
Factor 1/5*b**2 + 99/5 + 36/5*b.
(b + 3)*(b + 33)/5
What is k in -124/7 + 2/7*k**2 - 58/7*k = 0?
-2, 31
Let w be (3085/4319 + 1/(-7))/(6/21). Factor -1/8*f**w - 1 + 3/4*f.
-(f - 4)*(f - 2)/8
Let i = 199147/10 - 39827/2. Factor -i*o**3 + 0 + 0*o + 4/5*o**4 + 2/5*o**2.
2*o**2*(o - 1)*(2*o - 1)/5
Factor 4444 - 1073*d - 1419*d + 266*d + 4*d**2 - 11*d**2 + 9*d**2.
2*(d - 1111)*(d - 2)
Let m = 85285/4 - 21319. Find u such that 7/4*u - 1/2 + 11/4*u**2 - m*u**4 - 7/4*u**3 = 0.
-1, 2/9, 1
Solve 867259*j**3 - 320*j + 144 + 92*j - 867267*j**3 - 116*j**2 = 0 for j.
-12, -3, 1/2
Let t(x) be the first derivative of 108 - 35*x**2 - 5/4*x**4 + 40*x + 35/3*x**3. Factor t(b).
-5*(b - 4)*(b - 2)*(b - 1)
Let x(n) be the first derivative of n**4/16 - 17*n**3/12 + 11*n**2 - 36*n + 4110. Factor x(i).
(i - 9)*(i - 4)**2/4
Let t(p) = -125*p**3 - 70*p**2 - 55*p - 165. Let z(d) = 9*d**3 + 5*d**2 + 4*d + 12. Let w(m) = 4*t(m) + 55*z(m). Factor w(f).
-5*f**2*(f + 1)
Let i(s) be the second derivative of 89373/14*s**2 + 93/28*s**4 + 2883/14*s**3 + 2*s - 1 + 3/140*s**5. Solve i(t) = 0 for t.
-31
Let z(v) = 7*v - 7. Let i be z(1). Suppose -5*d - y + 3*y + 12 = i, 2*d + y = 3. Factor 20*u - 15*u - 5*u**d - 24*u - 125 - 31*u.
-5*(u + 5)**2
Let c = 23 + -21. Let f(z) be the first derivative of -2*z - 1/6*z**3 - 16 + 5/4*z**c. Factor f(d).
-(d - 4)*(d - 1)/2
Let s be -8 + -58 - (0 + -1)*0. Let v be 12/s + (-255)/(-11). Determine l so that 30*l**2 + 250 - 127*l + 26*l**3 - 28*l**3 - v*l = 0.
5
Let u be 1136/44 - 30/(-165). Suppose u*v = 36 + 16. Factor -1 - v*y - 5/4*y**2 - 1/4*y**3.
-(y + 1)*(y + 2)**2/4
Let p(n) be the third derivative of -n**8/672 + 25*n**7/84 - 23*n**6/3 + 268*n**5/3 - 1760*n**4/3 + 6976*n**3/3 + 3*n**2 - 1757. Factor p(v).
-(v - 109)*(v - 4)**4/2
Let z be 3 + 64/(-18) - -1. Suppose -i = -2*l - 15, -3*i + 4*l - 18 = -53. Let z*g**4 + 2*g**3 - 4/9*g**2 + 0*g - 2*g**i + 0 = 0. What is g?
-1, 0, 2/9, 1
Suppose -139*g = 3*v - 142*g + 9, 5*v = 4*g - 9. Factor 6*f**2 + 104/3 - 32*f + 2/3*f**v.
2*(f - 2)**2*(f + 13)/3
Factor 600*p - 3*p**2 + 0*p**2 + 3657 - 1628*p + 426 - 3052*p.
-3*(p - 1)*(p + 1361)
Let k(d) = 3*d**2 - d - 3. Let o(m) = -34*m**2 + 381*m - 34192. Let h(x) = -22*k(x) - 2*o(x). Determine a so that h(a) = 0.
185
Let q = 127 - 49. Let l = q + -76. Factor -2*i**l - 5*i - 9*i**2 - 5*i**3 + i**2.
-5*i*(i + 1)**2
Let y(x) be the third derivative of -x**6/300 - 37*x**5/75 - 43*x**4/12 - 142*x**3/15 - 91*x**2 + 10*x. Suppose y(q) = 0. Calculate q.
-71, -2, -1
Let h(w) = 4*w**2 + 1296*w - 106244. Let j(y) = -y**2 + y - 4. Let m(u) = h(u) + 8*j(u). Factor m(d).
-4*(d - 163)**2
Let t(b) be the first derivative of -b**4/8 + 11*b**3/2 - 8*b**2 - 1232. Find w such that t(w) = 0.
0, 1, 32
Let b = -15 + 20. Factor 96*s - 35 - 37*s**2 + 94*s - 80*s + 50*s**3 - b*s**4 - 83*s**2.
-5*(s - 7)*(s - 1)**3
Let k = 175 - 157. Let 38*n**2 + k*n**2 - 54*n**2 - 6*n - 12*n + 16 