 derivative of -193 - 27/8*m**2 + 1/24*m**6 + 13/6*m**3 + 9/4*m - 3/20*m**5 - 3/8*m**4. Let r(v) = 0. Calculate v.
-3, 1, 3
Suppose 5*v = -3*x + 5, 0 = 12*x - 11*x + 2*v. Let a be (x + 2)*14/105. Suppose 0 - 2/5*p**3 + a*p**2 - 6/5*p = 0. What is p?
0, 1, 3
Let j(i) be the first derivative of 375/4*i**2 + 5/12*i**3 + 86 + 28125/4*i. Factor j(d).
5*(d + 75)**2/4
Factor 104/7*w**2 - 326/7*w + 220/7 + 2/7*w**3.
2*(w - 2)*(w - 1)*(w + 55)/7
Solve 0 + 800/9*t + 8/9*t**5 + 128/9*t**3 + 360*t**2 - 14*t**4 = 0.
-4, -1/4, 0, 10
Let l(r) be the third derivative of 11*r**6/60 - 823*r**5/30 - 493*r**4/6 - 152*r**3/3 + 301*r**2 + 2*r - 1. Suppose l(c) = 0. Calculate c.
-1, -2/11, 76
Suppose 0 = 5*i + 21 - 131. Suppose -33*b + i = -44. Determine c so that 0*c**b - 6/7*c**3 + 3/7*c**4 - 3/7 + 6/7*c = 0.
-1, 1
Let x(t) be the third derivative of -t**7/315 + t**6/30 + 7*t**5/30 - 37*t**4/18 - 56*t**3/3 - 471*t**2 - 7. Suppose x(i) = 0. Calculate i.
-3, -2, 4, 7
Suppose 0 = 5*z + r - 35 + 8, -6 = 2*r. Suppose 4*s - 20 = 2*o, 0*s - 3*o = -4*s + 22. Factor -2*i**4 + 236*i**2 - 116*i**2 + s + z*i**3 - 6*i - 122*i**2.
-2*(i - 2)*(i - 1)**2*(i + 1)
Let c(o) be the first derivative of -35/2*o**2 + 98*o - 13/6*o**3 + 116 - 1/16*o**4. Factor c(b).
-(b - 2)*(b + 14)**2/4
Solve -23*y + 293*y**5 + 556*y**2 - 42*y - 28*y**4 - 297*y**5 - 2408 - 31*y + 52*y**3 - 472 = 0.
-5, -4, 3
Let v(i) = -i**4 - 2*i**3 - i**2. Let z(a) = -5*a**4 - 19*a**3 - 18*a**2 + 68*a + 112. Let t(h) = 30*v(h) - 5*z(h). Determine d so that t(d) = 0.
-2, 4, 7
Let w(z) be the second derivative of 0 - 166*z - 1/40*z**5 - 2/3*z**3 + 1/60*z**6 + 0*z**2 - 5/12*z**4. Factor w(m).
m*(m - 4)*(m + 1)*(m + 2)/2
Let z be 14*((-2676)/84 - -32). Determine c, given that 6/11*c**4 - 28/11*c**3 - 6/11 - 4/11*c + 32/11*c**z = 0.
-1/3, 1, 3
Let l(q) be the first derivative of q**3/15 - 13*q**2/10 - 14*q/5 + 534. Factor l(o).
(o - 14)*(o + 1)/5
Let i(z) = 9*z - 157. Let q be i(18). Let 645*g**4 - 1715*g**3 + 1019*g**2 - 2176*g**2 - 320 - 45*g**q - 2160*g - 3088*g**2 = 0. What is g?
-1, -1/3, 8
Let c be 14040/1350 + 2*44/(-20). Determine d so that c - 2/3*d**2 - 16/3*d = 0.
-9, 1
Let g = -90 + 95. Factor -6*p**5 - 6*p**3 - 9*p**4 + 4*p**g - p**5 + 0*p**5.
-3*p**3*(p + 1)*(p + 2)
Let q(z) be the second derivative of -z**4/8 + 38*z**3 - 4332*z**2 + 53*z - 18. Factor q(s).
-3*(s - 76)**2/2
Let n(p) be the first derivative of p**4/20 - 18*p**3/5 - p**2/10 + 54*p/5 + 1493. Factor n(u).
(u - 54)*(u - 1)*(u + 1)/5
Let v = -6314549/6 + 1052453. Let -v - 325/3*d - 2/3*d**3 + 103/6*d**2 = 0. What is d?
-1/4, 13
Let d(u) = 32*u**2 - 560*u + 52. Let p(y) = y - 1. Let i(c) = d(c) - 20*p(c). Let i(a) = 0. What is a?
1/8, 18
Let i(r) = r**2 - 56*r - 1161. Let y(p) = -5*p**2 + 395*p + 8130. Let v(b) = 15*i(b) + 2*y(b). Solve v(f) = 0.
-11, 21
Let l(p) be the third derivative of 116*p - 11/160*p**5 - 1/80*p**7 + 2*p**2 + 69/64*p**4 + 0 - 33/320*p**6 - 9/8*p**3. Suppose l(t) = 0. What is t?
-3, 2/7, 1
Suppose -5*z = 15, 3*n - 25*z + 22*z - 9 = 0. Let t = 179/350 + -2/175. What is u in 0*u**2 - 1/2*u + 0*u**4 - t*u**5 + u**3 + n = 0?
-1, 0, 1
Let m = -33010763/9 + 3667863. Suppose -w = 3*w. Factor 14/9*x**5 + 10/9*x**4 + w + 0*x + 0*x**2 - m*x**3.
2*x**3*(x + 1)*(7*x - 2)/9
Suppose -10*r - 1302 = -24*r. Factor -38*o**2 + r - o + 39*o**2 + o**3 - 94.
(o - 1)*(o + 1)**2
Let d(a) be the third derivative of -1/5*a**3 - 10*a**2 + 1/600*a**5 + 0 - 1/240*a**4 - 2*a. Suppose d(k) = 0. Calculate k.
-3, 4
Let m be ((-1)/35 + (-14136628)/64120)*1*(-8)/26. Determine q so that 0 + 2/13*q + m*q**3 + 84/13*q**2 = 0.
-1/21, 0
Suppose -3*o + 15 = 0, 2*u + 4*o - 59 = -o. Suppose 0 = -5*a - u*a + 44. Factor 0*t + 0*t**4 + 0 - 4/7*t**5 + 8/7*t**a + 12/7*t**3.
-4*t**2*(t - 2)*(t + 1)**2/7
Determine f so that 0*f + 1/2*f**5 + 63/2*f**2 + 61/2*f**4 - 125/2*f**3 + 0 = 0.
-63, 0, 1
Let o(s) be the third derivative of 0*s**3 + 3*s**2 + 0*s - 1/120*s**4 - 1/150*s**5 + 0 - 1/600*s**6. Let o(c) = 0. Calculate c.
-1, 0
Factor 3/5*u**2 + 63/5*u + 0.
3*u*(u + 21)/5
Suppose -w = 2*s - 7*s + 9, 0 = 5*s - 3*w - 7. Factor -61*u**s + 3*u**3 + 40 + 11*u + 25*u - 13*u - 5*u.
(u - 20)*(u - 1)*(3*u + 2)
Let t be -9 + 2 + (0 - 3) + 510/45. Suppose -2*r + 2 = b - r, 0 = 3*b - r - 10. Factor t*x**4 + 12 + 88/3*x**2 + 32*x + 32/3*x**b.
4*(x + 1)**2*(x + 3)**2/3
Let f = 51 - 51. Suppose 30 = -f*v + 10*v. Find a such that -24*a**5 + 26*a**5 - v*a**2 + 11*a**2 + 8*a**4 + 2*a + 12*a**3 = 0.
-1, 0
Let z(u) be the first derivative of 5*u**6/6 - 524*u**5 + 113525*u**4 - 25410880*u**3/3 - 53588480*u**2 - 109035520*u + 1636. What is s in z(s) = 0?
-2, 176
Let n(z) be the second derivative of z**5/90 + 5*z**4/54 - 46*z**3/27 + 40*z**2/9 - 690*z. Factor n(g).
2*(g - 4)*(g - 1)*(g + 10)/9
Solve -98/3*x + 1/6*x**2 + 4802/3 = 0 for x.
98
Suppose 9*p + c = 8*p + 9, 0 = -c + 4. Let v(i) be the first derivative of 216*i**2 + 324*i + 12*i**4 + 1 + 72*i**3 + 4/5*i**p. Factor v(w).
4*(w + 3)**4
Let -5*d**3 - 2 - 279*d**5 - 272*d + 283*d**5 + 273*d**3 - 276*d**4 + 2 + 276*d**2 = 0. What is d?
-1, 0, 1, 68
Let k = 98 + -93. Determine a, given that 186 - 95 - 111 - k*a**3 + 6*a + 29*a - 10*a**2 = 0.
-4, 1
Let s(b) be the second derivative of b**5/4 + 295*b**4/12 + 230*b**3 + 810*b**2 - 396*b. Factor s(x).
5*(x + 2)*(x + 3)*(x + 54)
Suppose -6*w + 62 = -2*w + t, 0 = 5*w + t - 78. Let p = w - 14. Let 2*f**2 - f - f**3 + 0*f**2 + 2*f**3 - p + 0 = 0. Calculate f.
-2, -1, 1
Let z(q) be the third derivative of q**5/60 + 13*q**4/48 - 7*q**3 + 77*q**2 - 7*q. Let z(b) = 0. What is b?
-21/2, 4
Let k(f) be the second derivative of 4*f**5/5 - 361*f**4/3 - 548*f**3/3 + 182*f**2 + 34*f + 6. Solve k(t) = 0.
-1, 1/4, 91
Let x(s) be the second derivative of s**4/42 - 64*s**3/7 - 6370*s - 2. Factor x(p).
2*p*(p - 192)/7
Let a(f) be the second derivative of f**4/20 - 36*f**3/5 + 561*f**2/2 + 1406*f. Find z, given that a(z) = 0.
17, 55
Let h(c) be the first derivative of 1780/3*c**3 + 3115/2*c**2 - 10*c**5 + 1470*c + 45/2*c**4 + 285 - 5/6*c**6. Determine w, given that h(w) = 0.
-7, -1, 6
Let y(d) be the second derivative of d**6/5 - 51*d**5/4 + 1003*d**4/4 - 1060*d**3 + 1800*d**2 + 10*d - 10. Find o such that y(o) = 0.
1, 3/2, 20
Suppose 12*r = 132, i + 38*r - 42*r + 41 = 0. Factor -8/5 + 2/5*v**2 + 1/5*v**i - 4/5*v.
(v - 2)*(v + 2)**2/5
Let f(r) be the third derivative of r**7/210 + 121*r**6/40 - 1463*r**5/60 + 611*r**4/8 - 367*r**3/3 + 3131*r**2. Factor f(q).
(q - 2)*(q - 1)**2*(q + 367)
Factor -1328/5*r**3 - 176/5*r**4 - 3904/5*r**2 - 2/5*r**5 - 512 - 5152/5*r.
-2*(r + 2)**4*(r + 80)/5
Find c such that 14*c + 16/5 - 34/5*c**3 - 57/5*c**2 + c**4 = 0.
-2, -1/5, 1, 8
Factor 2/5*m**3 + 0 + 72/5*m**2 + 14*m.
2*m*(m + 1)*(m + 35)/5
Suppose 21 = 5*s + 3*i, 0 = 5*s - 2*i + 319 - 330. Factor -44/3*m**s + 0 - 128/3*m**2 - 112/3*m - 4/3*m**4.
-4*m*(m + 2)**2*(m + 7)/3
Let w = 9 - 4. Suppose 5*o - 5*b - 239 + 74 = 0, -w*b + 99 = 3*o. Determine i so that o*i - 14*i**2 - 4*i**2 + 3*i**3 + 425 - 443 = 0.
1, 2, 3
Let l be 66 + 0/2 - (-84 + 81). Suppose -l*c**2 - 7*c**4 + 99*c**5 + 256*c**2 - 46*c**3 - 56*c - 97*c**5 - 80 = 0. Calculate c.
-5, -1/2, 1, 4
Let i = -68451 + 753033/11. Find k, given that -648/11 + i*k - 2/11*k**2 = 0.
18
Determine n, given that 536 + 1388*n - 341*n - 803*n + 598*n - 4072*n**2 + 60*n**3 + 2634*n = 0.
-2/15, 1, 67
Let d(t) be the second derivative of -t**4/42 + 27*t**3/7 - 80*t**2/7 + 42*t + 1. Factor d(g).
-2*(g - 80)*(g - 1)/7
Let q(w) = w**2 + 29*w + 31. Let s(m) be the first derivative of -m**3/3 - 29*m**2/2 - 32*m - 31. Let h(g) = 4*q(g) + 3*s(g). Factor h(j).
(j + 1)*(j + 28)
Let i be 30*20/(-250)*(-30)/24. Factor -22/7*h**2 + 2/7*h**4 + 0*h**i + 36/7*h - 16/7.
2*(h - 2)*(h - 1)**2*(h + 4)/7
Let j(y) be the second derivative of y**5/70 + y**4/6 - 10*y**3/7 + 15*y - 14. Determine p so that j(p) = 0.
-10, 0, 3
Let o(b) = -8*b**3 + 142*b**2 + 296*b + 143. Let j(w) = -11*w**3 + 140*w**2 + 297*w + 142. Let d(m) = -3*j(m) + 4*o(m). What is r in d(r) = 0?
-146, -1
Let p(w) be the first derivative of 44*w**3/15 - 1734*w**2/5 - 632*w/5 + 6183. Factor p(d).
4*(d - 79)*(11*d + 2)/5
Let -864/5 + 31/5*y**2 - 1/5*y**3 + 204/5*y = 0. Calculate y.
-8, 3, 36
Let v(l) be the second derivative of 5*l**7/42 + 5*l**6/6 + 