4*b**3/3 + 172*b**2 - 7396*b + 45. Solve d(n) = 0 for n.
43
Let o(t) be the second derivative of -t**4/12 + 5*t**3/6 - 5*t. Let g be o(5). Suppose -3*v**2 - 6*v + g*v**2 + 3*v**3 + 0*v = 0. What is v?
-1, 0, 2
Let m = 49 - 49. Suppose m = s - 7 + 4. Find a such that 0*a - a**2 + a**4 - 1/2*a**s + 0 + 1/2*a**5 = 0.
-2, -1, 0, 1
Let f = -12 + 14. Suppose -b + f*b - 3 = 0. Factor -2*y**3 - 5*y + 1 - y**4 + 3*y + 4*y**b.
-(y - 1)**3*(y + 1)
Let p = -51 + 81. Let h be 106/p + -3 + (-4)/20. Factor 4/3 + h*b**2 - 4/3*b.
(b - 2)**2/3
Let z be 12*4/(-24)*-3*6. Let i = z - 71/2. Factor -i*b - 2*b**2 + 0.
-b*(4*b + 1)/2
Suppose -9*q + 10*q - 3 = 0, -v + 5*q - 12 = 0. Factor 3*l - 4 + 1 - 11*l**3 + 8*l**v + 3*l**2.
-3*(l - 1)**2*(l + 1)
Factor -b**4 + 5*b**4 + 3*b**5 - 5*b**3 - 2*b**5 - 2*b**4 - 6*b**4.
b**3*(b - 5)*(b + 1)
Let j(g) be the third derivative of -7/3*g**4 + 0*g + 1/15*g**5 + 98/3*g**3 + 13*g**2 + 0. Factor j(q).
4*(q - 7)**2
Let x(z) be the third derivative of -z**6/1260 + z**5/420 + z**4/42 + 5*z**3/6 - 4*z**2. Let d(v) be the first derivative of x(v). Factor d(t).
-2*(t - 2)*(t + 1)/7
Let i be 3/(2 - 14/8). Factor -18 + i*d**2 - 17*d + 50 + 32 - 31*d - d**3.
-(d - 4)**3
Let w(u) be the third derivative of -u**7/70 - u**6/8 - 2*u**5/5 - u**4/2 + 97*u**2. Factor w(g).
-3*g*(g + 1)*(g + 2)**2
Let x be 1*-2*(-3 - (-25 - -23)). Determine n, given that -5/8*n**3 + 17/8*n**2 - x*n + 1/2 = 0.
2/5, 1, 2
Let k(b) = 5*b**2 + 25*b + 33. Let r(p) = -256*p - 430 - 19*p**2 - 46*p**2 + 18*p - 87*p. Let c(i) = -40*k(i) - 3*r(i). Determine d so that c(d) = 0.
-3, -2
Find p such that 9/7*p**3 + 3/7*p**4 - 3/7*p**5 + 0 - 3/7*p**2 - 6/7*p = 0.
-1, 0, 1, 2
Suppose -x - 3*x = -20. Let u = x + -3. Factor 10 + y**3 + 12*y**2 - 4*y**4 - 4*y - 16*y - u + 3*y**3.
-4*(y - 1)**3*(y + 2)
Let w(t) = 16*t + 2098. Let x be w(-131). Factor -2/17*u**x - 12/17 - 14/17*u.
-2*(u + 1)*(u + 6)/17
Factor 0*m + 2/5*m**5 + 0 + 6/5*m**3 - 6/5*m**4 - 2/5*m**2.
2*m**2*(m - 1)**3/5
Suppose s = 5*s. Suppose -v + s*v = -8. Find i, given that -v*i + 4 - 6*i**2 - 5 - 1 = 0.
-1, -1/3
Let u(x) = 3*x**2 + 9*x - 3. Let t(c) = -6*c**2 - 17*c + 7. Let d = -92 + 85. Let l(r) = d*u(r) - 3*t(r). Factor l(b).
-3*b*(b + 4)
Let d(j) be the first derivative of j**6/150 + 3*j**5/100 + j**4/20 + j**3/30 - 15*j - 11. Let r(y) be the first derivative of d(y). Let r(p) = 0. What is p?
-1, 0
Suppose 164*j = -3*w + 169*j + 36, 22 = -w - 4*j. Factor 16/7 + 44/7*d**w - 12/7*d**3 - 48/7*d.
-4*(d - 2)*(d - 1)*(3*d - 2)/7
Let y be (3/(-3))/(3/(-6)). Factor -8*k + 4*k**2 - 17*k**4 + 13*k**4 + 8*k**y.
-4*k*(k - 1)**2*(k + 2)
Let v = -43483/3 + 14495. Suppose 1/3*z**2 + 1/3 + v*z = 0. Calculate z.
-1
Let v = 6713 + -6711. Let j(o) = -o + 1. Let a be j(-4). Suppose -9/2*n + 1/2*n**a + 0 + 3*n**v - 3*n**4 + 4*n**3 = 0. What is n?
-1, 0, 1, 3
Let s(k) be the third derivative of -k**5/60 + k**3/3 - 2*k**2. Let n be s(0). Solve 2*d**2 + d**2 - 4*d**2 - d**n - 2*d + 4 = 0.
-2, 1
Solve 0*u + 3/4*u**4 + 0*u**2 + 0 + 3/2*u**3 = 0 for u.
-2, 0
Let r(h) be the first derivative of -h**5/140 + 3*h**4/28 - 4*h**3/7 + h**2 - 21. Let s(i) be the second derivative of r(i). Determine q so that s(q) = 0.
2, 4
Factor -24*f - 8*f**3 - 24*f**2 + 95 + 11*f - 5*f - 95.
-2*f*(2*f + 3)**2
Let u be (-5)/((-385)/187) + 1. Let h(k) = -k + 7. Let x be h(7). Let x + u*d**2 + 12/7*d + 3/7*d**4 + 15/7*d**3 = 0. What is d?
-2, -1, 0
Let h(b) be the first derivative of -b**3/9 + 25*b**2/3 + 104*b/3 - 946. Let h(d) = 0. What is d?
-2, 52
Let r(m) be the first derivative of m**6/1620 - m**5/180 + 2*m**3/3 + 17. Let y(l) be the third derivative of r(l). Factor y(j).
2*j*(j - 3)/9
Suppose 3*d = 4*d. Suppose -514*z - 496*z + 1029*z = 57. Find f, given that -2/9*f**2 + 0 + 2/9*f**4 + 0*f + d*f**z = 0.
-1, 0, 1
Suppose 2*w - w = 0. Let q(l) be the second derivative of w - 9/10*l**2 - 1/5*l**3 + 5*l - 1/60*l**4. Factor q(k).
-(k + 3)**2/5
Let k(r) = 24*r - 525. Let d be k(22). Factor 1/5*z**2 + 0*z - 1/5*z**4 + 0*z**d + 0.
-z**2*(z - 1)*(z + 1)/5
Let x = 8 + -5. Let -x + 7*f**2 - 5*f**2 + f**2 = 0. Calculate f.
-1, 1
Let c(r) be the first derivative of -r**4/3 + 4*r**3/9 - 136. Factor c(u).
-4*u**2*(u - 1)/3
Let w be (-18)/(-12)*1*2. Let a be 0 + ((-60)/(-8))/5 + w. Factor 9/2*i - a*i**2 - 3/2 + 3/2*i**3.
3*(i - 1)**3/2
Let p(l) be the third derivative of l**9/141120 - l**8/15680 - l**7/2940 - l**5/12 - 3*l**2. Let v(i) be the third derivative of p(i). Factor v(r).
3*r*(r - 4)*(r + 1)/7
Suppose 33*x = -6*x + 195. Let l(r) be the third derivative of 0 - 1/36*r**3 - 1/72*r**4 - 1/360*r**x + 5*r**2 + 0*r. Determine g, given that l(g) = 0.
-1
Let h(f) be the third derivative of -2*f**7/105 + f**6/15 + f**5/5 - 4*f**4/3 + 8*f**3/3 + 4*f**2 - 2. Let h(w) = 0. Calculate w.
-2, 1, 2
Suppose -31*g - 28*g - 15*g**2 - 36*g + 35*g**3 + 70 + 5*g**4 = 0. What is g?
-7, -2, 1
Let a(b) be the first derivative of -5*b**6/6 - 4*b**5 + 15*b**4/2 + 80*b**3/3 - 145*b**2/2 + 60*b + 84. Suppose a(m) = 0. Calculate m.
-4, -3, 1
Let d(h) be the first derivative of 2/9*h**2 + 0*h**3 - 2/45*h**5 - 1/9*h**4 + 2/9*h - 24. Determine m so that d(m) = 0.
-1, 1
Let c = 5369 + -5367. Factor 1/3*n**3 + 0 - 2/3*n - 1/3*n**c.
n*(n - 2)*(n + 1)/3
Suppose -3*p - 15 = -2*w, 8 = -5*p - 7. Determine t so that 37 - 19 - 22 - 6*t + 2*t**w = 0.
-1, 2
Let r = -7/27 + 113/54. Let j = -5/3 + r. Determine n so that 1/6*n**4 + 0 + 0*n - 1/6*n**3 - j*n**2 + 1/6*n**5 = 0.
-1, 0, 1
Let p = -49 - -49. Factor p*d**2 - 3*d**2 + 2*d**2 - 4 - 10*d + 14*d.
-(d - 2)**2
Let j(x) be the first derivative of -5*x**3/3 - 275*x**2 - 545*x - 351. Factor j(d).
-5*(d + 1)*(d + 109)
Suppose 5*u + 9 = -11, -2*w = -u - 10. Let f be 15 - 12 - w/1. Factor f*b - 3/7*b**4 + 0 + 3/7*b**5 + 3/7*b**2 - 3/7*b**3.
3*b**2*(b - 1)**2*(b + 1)/7
Let v(x) be the second derivative of x**7/1155 - x**6/220 - 37*x**2/2 - 38*x. Let o(j) be the first derivative of v(j). Let o(z) = 0. Calculate z.
0, 3
Factor 8*a**2 + 7*a**2 + 15123 - 17*a**2 - a**2 + 6*a**2 + 426*a.
3*(a + 71)**2
Let b(y) be the third derivative of y**7/42 - y**6/24 - y**5/4 + 5*y**4/24 + 5*y**3/3 + 8*y**2 + 15*y. Solve b(p) = 0.
-1, 1, 2
Let k be ((-7)/(-2))/((-10)/(-100)). Determine m so that 45*m**2 + 85 - k*m - 19*m**3 + 5*m**4 - 75 - 6*m**3 = 0.
1, 2
Let w = 173/95 + -7/5. Let m = -13/76 + w. Factor -m*s**5 + 1/4*s + 1/2*s**4 - 1/2*s**2 + 0 + 0*s**3.
-s*(s - 1)**3*(s + 1)/4
Factor 18*s**4 + 9*s**2 - 23*s**4 - 14*s**3 - 12*s**3 + 16*s**2 + 6*s**3.
-5*s**2*(s - 1)*(s + 5)
Let n(c) = -3*c**2 + 140*c - 132. Let g(m) = 3*m**2 - 141*m + 132. Let o(k) = 5*g(k) + 6*n(k). Factor o(h).
-3*(h - 44)*(h - 1)
Let i(n) = -n**2 + 18*n - 23. Let v be i(17). Let s be 10/(-6)*v/15. Factor s*z**3 - 1/3 - 2/3*z + 0*z**2 + 1/3*z**4.
(z - 1)*(z + 1)**3/3
Let y be ((-9)/(20 + -38))/((-14)/(-4)). What is f in 4/7 + y*f**2 + 5/7*f = 0?
-4, -1
Let o(u) = 62*u**2 - 7*u - 45. Let s(g) = 21*g**2 - 3*g - 15. Let y(x) = 3*o(x) - 8*s(x). Factor y(d).
3*(d + 1)*(6*d - 5)
Let k be ((-2)/20)/(131/(-524)). Factor 4/5*g**3 + 0*g + 2/5*g**2 + k*g**4 + 0.
2*g**2*(g + 1)**2/5
Solve -9/5*d**4 - 24/5 + 18/5*d + 3/5*d**5 + 33/5*d**2 - 21/5*d**3 = 0 for d.
-2, -1, 1, 4
Let j be (20/(-18))/5 - 1341/(-5670). Let m(d) be the third derivative of 1/8*d**4 + 3/40*d**6 + j*d**7 + 0*d + 3/20*d**5 + 0 - 6*d**2 + 0*d**3. Factor m(p).
3*p*(p + 1)**3
Factor 1 - 22 - 8*n + n**3 + 5*n**2 + 9.
(n - 2)*(n + 1)*(n + 6)
Let x(b) = -11*b**2 - 69*b - 14. Let m(n) = -10*n**2 - 66*n - 12. Let o(j) = -7*m(j) + 6*x(j). Solve o(d) = 0.
-12, 0
Let o(m) be the third derivative of m**7/210 + m**6/24 - 3*m**5/10 - 5*m**4/6 + 28*m**3/3 + 2*m**2 + 6*m. Factor o(v).
(v - 2)**2*(v + 2)*(v + 7)
What is b in 4*b**4 + 421696 - 384*b**3 + 13824*b**2 - 221184*b + 838586 + 66822 = 0?
24
Let w be (-12)/(-21) + (-136)/(-56). Suppose 0 = 2*f - 3*f + 2. Factor 4*v - 8*v**2 - 16*v**w - 2*v**2 - 2*v**f.
-4*v*(v + 1)*(4*v - 1)
Let a(o) be the third derivative of 3*o**7/385 - o**6/110 + o**5/330 + 196*o**2. Factor a(q).
2*q**2*(3*q - 1)**2/11
Suppose -83*m + 38*m = -945. Suppose 0 - 49/3*i - 1/3*i**4 - m*i**2 - 5*i**3 = 0. What is i?
-7, -1, 0
Let b(k) = -k**2 - 4*k - 2. Let h be b(-2). Suppose -14 = -4*c - h. Let -2*r + c*r + 3*r**2 - 4*r**2 = 0. What is r?
0, 1
