1247*b**4 - 13198*b**4 + 5405*b**4 - 79*b**3 = 0.
0, 1/68, 1
Let v(d) be the third derivative of 28*d**2 - 1/5*d**5 + 0*d + 0*d**3 + 1/60*d**6 + 0*d**4 + 0. What is p in v(p) = 0?
0, 6
Let m(o) be the first derivative of 0*o + 28/15*o**3 - 10 - 3/5*o**4 + 0*o**2. Factor m(d).
-4*d**2*(3*d - 7)/5
Let r(b) be the third derivative of b**7/70 + b**6/8 + b**5/10 - 5*b**4/2 - 12*b**3 - b**2 + 365. Factor r(p).
3*(p - 2)*(p + 2)**2*(p + 3)
Let p be ((-776)/(-582))/((-5)/(-3)). Let o(n) be the first derivative of 6/5*n + 2/15*n**3 + p*n**2 - 45. Factor o(l).
2*(l + 1)*(l + 3)/5
Let z(m) be the first derivative of -m**7/210 - m**6/150 + 3*m**5/100 + m**4/12 + m**3/15 - 62*m + 58. Let v(i) be the first derivative of z(i). Factor v(f).
-f*(f - 2)*(f + 1)**3/5
Let l be (531/(-12))/((-18)/192). Suppose 8*k + 0 - 416*k**2 - 34*k**3 - 30*k**4 + l*k**2 + 0 = 0. What is k?
-2, -2/15, 0, 1
Suppose -24 = -8*y + 40. Let l be 6/75*5*(13 - y). Determine t, given that 4/17*t - 6/17 + 2/17*t**l = 0.
-3, 1
Let d = 36785 - 36783. Let c = 32/221 - 6/221. Factor 2/17*x**d + 0 + c*x.
2*x*(x + 1)/17
Suppose 5*f - 159 = -34. Suppose 26*a - f*a = 0. Determine g, given that a*g**3 - 4*g**3 + 0*g**3 + 8*g**2 - 2*g**5 + 6*g - 441*g**4 + 433*g**4 = 0.
-3, -1, 0, 1
Let p = -123 + 147. Determine w, given that -3*w - 8*w**4 - p*w**2 - w + 30*w**3 - 4*w = 0.
-1/4, 0, 2
Factor -30/7*w - 1/7 + 31/7*w**2.
(w - 1)*(31*w + 1)/7
Let z(k) = k**4 + k**3 - k**2 - 2*k + 4. Let r(g) = -12*g**3 - 1004*g**2 + 9808*g - 26084. Let f(c) = r(c) + 4*z(c). Factor f(u).
4*(u - 7)**3*(u + 19)
Suppose -171 + 652 = 13*x. Suppose 31 + 43 = x*q. Factor -2/17*d**q + 0*d + 8/17.
-2*(d - 2)*(d + 2)/17
Let l(x) = 10*x**2 - 13*x - 326. Let z(v) = -v**2 + 4*v + 8. Let i(j) = 2*l(j) + 22*z(j). Factor i(n).
-2*(n - 17)*(n - 14)
Let d(n) be the third derivative of 0 - 13/6*n**3 + 20*n**2 - 1/80*n**5 - 1/160*n**6 + 1/32*n**4 + 0*n. Let r(z) be the first derivative of d(z). Factor r(q).
-3*(q + 1)*(3*q - 1)/4
Let o be 2*((819/14)/(-13))/(-6). Let a = 45 - 42. Factor -o*u**4 + 0 - 36*u**2 + 33/2*u**a - 54*u.
-3*u*(u - 6)**2*(u + 1)/2
Let u be -12*75/(-1260)*154/55. Factor 0 + 13/3*x**u + 11/3*x**3 + x**4 + 5/3*x.
x*(x + 1)**2*(3*x + 5)/3
Let h(d) be the third derivative of -d**6/24 - 29*d**5/6 + 525*d**4/8 - 166*d**2 - 2*d + 2. Factor h(g).
-5*g*(g - 5)*(g + 63)
Let v(b) be the second derivative of -b**10/90720 + b**9/45360 + b**4/12 + 2*b**3/3 + 35*b. Let y(u) be the third derivative of v(u). Factor y(a).
-a**4*(a - 1)/3
Let j = 341205 + -1364803/4. Find z, given that -2*z**2 - 9/2 + j*z**3 - 75/4*z + z**4 = 0.
-3, -1/4, 2
Let f(r) be the second derivative of -37/54*r**4 + 88/27*r**3 + 85*r + 0 - 7/90*r**5 + 28/9*r**2. Determine u so that f(u) = 0.
-7, -2/7, 2
Let w(m) = 2*m + 135*m + 223 - 24*m**2 - m**3 - 42*m**2. Let o(v) = -22*v**2 + 46*v + 74. Let n(t) = 14*o(t) - 4*w(t). Suppose n(j) = 0. What is j?
-1, 6
Suppose -q - 36 = -3*r, 0 = -q + 20*r + 541 - 781. Factor 0*c**2 + 1/3*c**4 - c**3 + q + 0*c.
c**3*(c - 3)/3
Let m = -555/392 - -2449/1176. Factor -8/3*t**4 + 2/3*t**3 + m*t**5 - 16/3 - 8/3*t + 20/3*t**2.
2*(t - 2)**3*(t + 1)**2/3
Let b(k) be the first derivative of -6*k**2 + 4/3*k**3 - 122 + 8*k. Find n, given that b(n) = 0.
1, 2
Let w = -2999 - -3013. Let y(v) be the third derivative of 0*v - 1/80*v**5 - 1/24*v**3 - w*v**2 + 1/32*v**4 + 1/480*v**6 + 0. Find s, given that y(s) = 0.
1
Suppose 2*g = p + 38 + 13, 2*p = g - 102. Let l = -51 - p. Factor 36*x**2 + 9*x**2 + 35*x - 10 + l.
5*(x + 1)*(9*x - 2)
Find n such that -135*n**3 + 36*n + 20*n**5 - 72*n**4 + 42435*n**2 - 5*n**5 - 42279*n**2 = 0.
-2, -1/5, 0, 1, 6
Suppose 59*n = 248 - 12. Let y(u) be the third derivative of 0*u - 1/120*u**5 + 16*u**2 - 1/240*u**6 + 0 + 0*u**3 + 0*u**n. Determine x, given that y(x) = 0.
-1, 0
Suppose -m - 5*t + 24 = 0, -4*t - 4 = 2*m - 7*t. Let k be (7/(-70))/(90/24 - m). Let 0*u - 6/5*u**3 + 0 - 4/5*u**2 - k*u**4 = 0. Calculate u.
-2, -1, 0
Let b(v) be the second derivative of -v**6/60 + 9*v**5/20 + 83*v**4/24 + 9*v**3 + 11*v**2 - 2080*v. Factor b(m).
-(m - 22)*(m + 1)**2*(m + 2)/2
Solve 0*r + 2/11*r**4 + 0 - 32/11*r**2 - 30/11*r**3 = 0.
-1, 0, 16
Let w(s) = 2*s**2 + 17*s + 34. Let g be w(-2). Factor 50*u**3 + u - 52*u**3 - 7*u - g*u**2 + 0*u.
-2*u*(u + 1)*(u + 3)
Let a = -202 + 294. Let s = a - 90. Factor -24*t + 34 + 13*t**2 + 12*t**s - 5*t**3 - 14 - 16*t.
-5*(t - 2)**2*(t - 1)
Let d(r) be the second derivative of r**6/240 + 59*r**5/40 + 3481*r**4/16 - 59*r**3/6 - 61*r. Let w(j) be the second derivative of d(j). Factor w(b).
3*(b + 59)**2/2
Let r(q) be the third derivative of -q**5/60 + q**4/2 + 18*q**3 + 749*q**2. Factor r(g).
-(g - 18)*(g + 6)
Let a = 91007/455085 + 2/91017. Determine q so that 0*q**2 - a*q**3 - 7/5*q**4 + 0*q + 0 = 0.
-1/7, 0
Let m(j) = 87*j**4 + 79*j**3 + 696*j**2 + 1419*j + 933. Let a(w) = -8*w**4 + 3*w**3 - w + 1. Let c(q) = -44*a(q) - 4*m(q). Suppose c(y) = 0. Calculate y.
-2, 118
Factor 0 + 0*d**2 - 1/9*d**4 + 0*d + 13/3*d**3.
-d**3*(d - 39)/9
What is a in 4/5*a**2 + 1568/5*a + 153664/5 = 0?
-196
Let y = 216/311 + 4518/1555. Solve -y*i + 16/5 + 2/5*i**2 = 0 for i.
1, 8
Suppose 8*o = -214 + 142. Let w be 0*((-9)/o)/((-2)/2). Suppose w*x**3 + 0 + x**2 - x**4 + 1/2*x - 1/2*x**5 = 0. Calculate x.
-1, 0, 1
Let q be 272*(-24)/(-768) - 11/2. Determine c, given that -2 + 7/4*c**q - 1/4*c**5 + 1/2*c**2 - 3*c + 0*c**4 = 0.
-2, -1, 2
Suppose 371 - 1001 = -9*u. Factor 145*x**2 + 5*x**3 - 62*x**3 + 5*x**4 - 23*x**3 - u*x.
5*x*(x - 14)*(x - 1)**2
Let z(y) be the first derivative of y**7/147 - 3*y**5/35 - 4*y**4/21 - y**3/7 - 35*y - 79. Let a(h) be the first derivative of z(h). Factor a(f).
2*f*(f - 3)*(f + 1)**3/7
Let w be (-295 - -1)/3 - 0. Let q be 2/(-3) + w/(-21). Factor -2*z**2 - 2 - 5*z**3 + 6*z + 5*z**4 - z**3 + 3*z**4 - 4*z**q.
2*(z - 1)**2*(z + 1)*(2*z - 1)
Factor -76*w**4 + 245*w**4 - 83*w**4 - 83*w**4 - 48*w**2.
3*w**2*(w - 4)*(w + 4)
Let l = -1712 - -1714. Let j(u) be the second derivative of 1/2*u**3 + 0 + 3*u**l - 1/4*u**4 + 23*u. Factor j(n).
-3*(n - 2)*(n + 1)
Let q be ((-1)/(-2)*-1)/((-41)/(7708/141)). Factor 0 - 2/3*u**4 + 0*u + 2/3*u**2 + q*u**5 - 2/3*u**3.
2*u**2*(u - 1)**2*(u + 1)/3
Suppose -48 = -76*y + 256. Let f(u) be the first derivative of -26 + 1/4*u**y - 5/3*u**3 + 0*u + 3*u**2. Determine k, given that f(k) = 0.
0, 2, 3
Let x be (-14)/(-27)*546/208 + 55/(-220). Let -x*d**2 - 2/9*d**4 - 16/9*d**3 + 28/9*d + 0 = 0. Calculate d.
-7, -2, 0, 1
Let w(o) be the first derivative of 1/6*o**6 + 5/6*o**4 + 3/4*o**5 - 51 + 0*o**3 + 42*o + 0*o**2. Let h(l) be the first derivative of w(l). Factor h(z).
5*z**2*(z + 1)*(z + 2)
Let b(j) be the second derivative of -33*j - 1/5*j**5 - 4*j**2 + 0 - 10/3*j**3 - 4/3*j**4. Solve b(a) = 0.
-2, -1
Let k = 156 + -148. Suppose 7*q - 3*q + k = -2*g, -6 = 2*q. Find y such that 1/9*y**3 + 1/3*y**g + 5/9 - y = 0.
-5, 1
Let z be 7 + -1 + -2 - (37 + -38). Suppose i = -5*u + 20, 0*i + 4 = 3*u - i. Let -2*x**3 - 192 - 5*x**u - 36*x**2 - 144*x - x**3 + z*x**3 = 0. What is x?
-4
Factor -3*z**3 + 1202*z**5 + 318*z**4 - 392*z**2 - 2402*z**5 + 1201*z**5 - 560*z**2 + 636*z.
z*(z - 1)**2*(z + 2)*(z + 318)
Let k(o) be the first derivative of o**5/5 - 43*o**4/4 - 46*o**3 - 2*o**2 + 184*o - 2460. Find u such that k(u) = 0.
-2, 1, 46
Let b(m) be the first derivative of 2*m**3/3 - 25*m**2 + 252*m + 1447. What is r in b(r) = 0?
7, 18
Let c be 170/(-102)*(-12)/80. Let t(g) be the second derivative of 0*g**2 + 1/6*g**3 + 0 + c*g**4 + 3/20*g**5 + 13*g + 1/30*g**6. Factor t(d).
d*(d + 1)**3
Let z(j) be the second derivative of -j**9/3780 + j**8/336 - j**7/90 + j**6/60 + 34*j**4/3 - 197*j. Let q(g) be the third derivative of z(g). Factor q(s).
-4*s*(s - 3)*(s - 1)**2
Suppose -19*m + 20*m - 821 = 0. Solve -m + 5*s**2 + 1388 + 290*s + 3638 = 0 for s.
-29
Let l(o) = -2*o**3 + 1221*o**2 + 7366*o + 10852. Let m(i) = -i**3 + 1223*i**2 + 7353*i + 10851. Let z(k) = 6*l(k) - 7*m(k). Find b such that z(b) = 0.
-241, -3
Factor 583*v**3 + 139*v**2 - 13300 - 1302*v - 22*v**2 - 581*v**3 - 3968*v - 629*v**2.
2*(v - 266)*(v + 5)**2
Let p be 51/(-7) + (-3)/(42/(-4)). Let i be (4 + p)/(54/(-4)). What is r in 4/9*r - 2/9*r**2 - i = 0?
1
Let y = 325129/2 - 162561. What is p in 1/2*p**5 - p**2 - 11/2*p + 5*