 1/3*q**5 = 0. What is q?
-2, -1, 0, 1
Let k(s) be the second derivative of s**5 + 27*s**4 + 224*s**3 + 128*s**2 - 6*s - 1. Determine f, given that k(f) = 0.
-8, -1/5
Let l be (-33)/(-117) + -1*1/(-3). Let m = -11/39 + l. Let 0 + m*j**2 + 0*j + 1/6*j**3 = 0. What is j?
-2, 0
Let n(z) be the third derivative of z**9/60480 - z**8/13440 + z**7/10080 + z**4/6 - 5*z**2. Let o(g) be the second derivative of n(g). Solve o(x) = 0.
0, 1
Let o be (2/(-12))/(8/(-40)). Factor -o*y + 1 + 1/6*y**2.
(y - 3)*(y - 2)/6
Let m(f) be the third derivative of -f**8/80640 - f**7/2520 - f**6/240 + f**5/30 - f**3/6 - 2*f**2 + 2. Let a(l) be the third derivative of m(l). Factor a(n).
-(n + 2)*(n + 6)/4
What is k in -7*k**3 + 13*k**3 - 36*k - 7*k**2 - 4*k**3 - 17*k**2 - 6*k**3 = 0?
-3, 0
Let q(c) be the third derivative of c**6/300 + 7*c**5/150 + 11*c**4/60 + c**3/3 - 47*c**2. Factor q(v).
2*(v + 1)**2*(v + 5)/5
Suppose -16/3*c**2 + 0 - 16/9*c - 4*c**3 = 0. Calculate c.
-2/3, 0
Let s(v) be the first derivative of -v**4/24 - 2*v**3/3 + v**2/12 + 2*v - 678. Factor s(l).
-(l - 1)*(l + 1)*(l + 12)/6
Suppose -q - q = -3*a, 0 = -a + 2*q - 4. Factor 9*g**3 - 11*g**2 - 6*g**3 + a*g**3 + 6*g**2.
5*g**2*(g - 1)
Suppose -260*l = -253*l - 14. Suppose l*v = -5*v + 14. Solve -1/2*o**v - 9/2 - 3*o = 0 for o.
-3
Let d(a) be the second derivative of 4*a**7/147 - 29*a**6/105 + 3*a**5/70 + 29*a**4/42 - a**3/3 - 3*a + 60. Let d(i) = 0. Calculate i.
-1, 0, 1/4, 1, 7
Let n = -105 + 534/5. Let y be -1 - (-8 + 1 + 3). Factor -n*t**y + 0 + 3/5*t**4 + 0*t + 0*t**2.
3*t**3*(t - 3)/5
Let v(o) = -10*o + 3. Let g be v(-2). Let b = g + -21. Factor -k**2 - 3*k - 6 + 6*k**b - 2*k**2.
3*(k - 2)*(k + 1)
Let z be ((-1458)/(-1944))/(7*1/8). Factor 3/7*n + 3/7*n**2 - z.
3*(n - 1)*(n + 2)/7
Suppose -86*j = 135*j - 19*j - 404. Solve -1/3*n + 1/3*n**j + 0 = 0 for n.
0, 1
Let z be 1/4 - (-2530)/(-17480). Determine p, given that 2/19*p**2 + 0 - z*p = 0.
0, 1
Suppose 2 - 5 = -3*y. Let u be 48/(-12) + 5*y. Factor -25/4*b**2 - 19/4*b**3 - u - 4*b - 7/4*b**4 - 1/4*b**5.
-(b + 1)**3*(b + 2)**2/4
Let w(s) be the second derivative of -5*s**6/6 + 73*s**5/4 - 475*s**4/4 + 595*s**3/6 + 245*s**2 - 21*s - 5. Solve w(n) = 0.
-2/5, 1, 7
Let q be (-6)/(8/4 + -4). What is o in -4*o**q + 15*o**4 - 17*o**4 + 2*o**3 = 0?
-1, 0
Let t(g) = g**2 + 10*g - 9. Let m = -9 - 2. Let r be t(m). Suppose -4*y**2 + 3*y**r - 3*y**2 - 2*y**3 - 2*y = 0. Calculate y.
-1, 0
Let f(g) be the third derivative of g**7/210 + 7*g**6/160 - 47*g**5/240 + 5*g**4/32 + 7*g**3/24 + 327*g**2. Factor f(k).
(k - 1)**2*(k + 7)*(4*k + 1)/4
Let y(g) be the third derivative of 0*g**4 - 16*g**2 + 0*g + 0*g**3 + 0 + 1/350*g**7 + 1/200*g**6 + 0*g**5. Factor y(a).
3*a**3*(a + 1)/5
Let i be (-48)/(-6) - (-2124)/(-270). Let t = 657 - 9851/15. Determine h, given that 2/5*h + i*h**2 + t = 0.
-2, -1
Suppose -41*s = -59*s. Let p(h) be the third derivative of 0*h - 1/100*h**5 - 1/40*h**4 + 1/5*h**3 - 10*h**2 + s. Solve p(f) = 0 for f.
-2, 1
Let u = -11 + 21. Suppose -u = -0*v - 2*v. Factor 2*a**2 + 2 - v*a**2 + 4*a + 5*a**2.
2*(a + 1)**2
Let d(t) = 5*t**3 + 140*t**2 - 625*t + 465. Let i(j) = -2*j**3 + j**2 + j + 3. Let y(q) = -d(q) - 5*i(q). What is k in y(k) = 0?
1, 4, 24
Let b(h) = 3*h**4 - 6*h**3 - 6*h**2 - 3*h + 3. Let q(l) = -6*l**4 + 10*l**3 + 11*l**2 + 5*l - 5. Let k(n) = -5*b(n) - 3*q(n). Suppose k(v) = 0. What is v?
-1, 0, 1
Let v(p) = -118*p**4 - 143*p**3 + 649*p**2 - 299*p - 54. Let a(o) = 78*o**4 + 95*o**3 - 433*o**2 + 199*o + 36. Let q(y) = 7*a(y) + 5*v(y). Solve q(h) = 0 for h.
-3, -3/22, 1
Suppose -k + 4 = 8. Let f be 10/k + 2 - 10/(-4). Let 2/11*u**f - 6/11*u + 4/11 = 0. What is u?
1, 2
Let l(i) be the second derivative of 0 - 1/32*i**4 - 30*i - 1/48*i**3 + 0*i**2. Find y, given that l(y) = 0.
-1/3, 0
Let h = -15757/2 + 7879. Determine d, given that d - h*d**2 + 3/2 = 0.
-1, 3
Suppose -9*v = -14*v + 20. Let k be (6/(-4))/((-6)/8). Determine i so that 4*i**3 - 3*i**3 + 0*i**2 - i**v + 0*i**k = 0.
0, 1
Let u(m) = -9*m**4 + 36*m**3 + 192*m**2 + 21. Let l(c) = 2*c**4 - 9*c**3 - 46*c**2 - 5. Let r(v) = -21*l(v) - 5*u(v). Factor r(j).
3*j**2*(j + 1)*(j + 2)
Let r(f) be the first derivative of -f**7/84 + f**5/20 - f**3/12 + 14*f - 13. Let n(j) be the first derivative of r(j). Factor n(d).
-d*(d - 1)**2*(d + 1)**2/2
Factor 7*n**3 - 3*n**3 + 12*n**2 - 34*n - n**3 + 19*n.
3*n*(n - 1)*(n + 5)
Let n(x) = 55*x**4 - 185*x**3 + 169*x**2 - 57*x + 18. Let g(p) = -p**4 - p**3 + p + 1. Let f(s) = -18*g(s) + 2*n(s). Factor f(i).
2*(i - 1)**2*(8*i - 3)**2
Let z(i) = -3*i**2 - 2*i - 1. Let d(r) = -4*r**2 - 2*r - 1. Suppose 3*y - 4 = 2. Let w(h) = y*d(h) - 3*z(h). Factor w(t).
(t + 1)**2
Let t(v) be the second derivative of -v**4/48 - 11*v**3/12 - 21*v**2/8 + 2*v - 2. Solve t(k) = 0 for k.
-21, -1
Let o(m) be the first derivative of m**5/40 - m**4/32 - m**3/8 + 5*m**2/16 - m/4 + 35. Let o(l) = 0. Calculate l.
-2, 1
Factor -3/2*p + 3/8*p**2 - 15/8.
3*(p - 5)*(p + 1)/8
Let b(a) be the second derivative of 0 - 1/60*a**4 + 41*a - 72/5*a**2 - 4/5*a**3. Determine s, given that b(s) = 0.
-12
Let d(i) be the third derivative of -7*i**5/270 - i**4/2 + 16*i**3/27 + 481*i**2. Factor d(b).
-2*(b + 8)*(7*b - 2)/9
Let d(r) be the second derivative of -2*r**7/21 - 2*r**6/15 + 6*r**5/5 - 2*r**4/3 - 10*r**3/3 + 6*r**2 + 105*r. Solve d(g) = 0 for g.
-3, -1, 1
Let f = 26152/143 - 2010/11. Factor -f*p**2 - 4/13 - 6/13*p.
-2*(p + 1)*(p + 2)/13
Let t = 81985/4 + -20656. Let y = -159 - t. Determine f, given that -y*f**2 - 1/4 + 1/4*f**3 + 3/4*f = 0.
1
Suppose 2446 = 7*m + 591. Let i = m - 1851/7. Factor -2/7*x + i + 2/7*x**3 - 4/7*x**2.
2*(x - 2)*(x - 1)*(x + 1)/7
Let j(k) be the first derivative of -k**3/6 - k**2 + 5*k/2 - 8. Factor j(s).
-(s - 1)*(s + 5)/2
Let g(q) be the first derivative of 5*q**3/12 - 625*q**2/4 + 78125*q/4 + 325. Factor g(c).
5*(c - 125)**2/4
Suppose 5*b - s = 77, -4*s = -4*b - 2*s + 64. Suppose -7*r - b = -10*r. Solve -4/3*d**2 + 0*d + 2/3*d**3 - 2/3*d**r + 0 + 4/3*d**4 = 0 for d.
-1, 0, 1, 2
Let l(u) be the second derivative of -u**4/12 + u**3/3 + 4*u**2 + 5*u. Determine x, given that l(x) = 0.
-2, 4
Let u(f) be the first derivative of -f**4/50 + 28*f**3/75 - 24*f**2/25 - 560. Factor u(d).
-2*d*(d - 12)*(d - 2)/25
Factor 0 + 2/9*g**3 - 8/3*g**2 + 0*g.
2*g**2*(g - 12)/9
Let d(a) be the third derivative of a**8/80640 - a**7/3360 + a**6/320 + 23*a**5/60 - 14*a**2. Let z(i) be the third derivative of d(i). Solve z(w) = 0 for w.
3
Let f(a) be the first derivative of 1/2*a**2 - 1/2*a**3 + 10 + 1/4*a**4 - 1/20*a**5 - 1/4*a. Factor f(k).
-(k - 1)**4/4
Let n(i) = -2*i + i - 21 - 4*i + 20. Let r be n(-1). Factor -3*u**4 - 5*u + r*u + 11*u**4 - 15*u**3 + 16*u**5 - 8*u**2.
u*(u - 1)*(u + 1)*(4*u + 1)**2
Let v(t) = -2*t - 37. Let s be v(-18). Let i(w) = w**2. Let r(y) = -6*y**2 + 10*y - 25. Let l(f) = s*r(f) - 5*i(f). Solve l(z) = 0 for z.
5
Let h = 32 - 14. Let c = -196/11 + h. Solve 0 - c*w - 12/11*w**2 - 18/11*w**3 = 0 for w.
-1/3, 0
Factor 0 + 21/4*t**2 - t**3 + 0*t - 1/4*t**4.
-t**2*(t - 3)*(t + 7)/4
Suppose -4*k + 12 = -8, -3*k = l - 15. Let t = l - -4. Factor -9*r**2 - r - 3*r**4 + 12 + 12*r**3 - 15*r + t*r.
-3*(r - 2)**2*(r - 1)*(r + 1)
Factor 284*c - 269*c - 9*c**2 - 12 + 3*c**4 - 3*c**3 + 6.
3*(c - 1)**3*(c + 2)
Solve 225*t**4 + 14*t**3 - 124*t - 86*t**2 - 61*t + 191*t**3 - 20*t**5 - 199*t**2 + 60 = 0 for t.
-1, 1/4, 1, 12
Suppose 18*x = 25*x. Let i(d) be the third derivative of 0 - 7*d**2 - 1/210*d**5 + 1/21*d**4 + x*d - 1/7*d**3. Suppose i(v) = 0. What is v?
1, 3
Let o(y) be the second derivative of 49*y**4/3 + 112*y**3 + 288*y**2 - y - 3. Find v, given that o(v) = 0.
-12/7
Let s(c) = -10*c**2 - 1095*c - 50. Let d(k) = -k**2 - 137*k - 6. Let i(p) = -25*d(p) + 3*s(p). Solve i(f) = 0 for f.
0, 28
Let u(c) be the third derivative of -1/30*c**6 + 0*c**3 - 1/6*c**5 + 0*c + 0 + 12*c**2 - 1/6*c**4. Find d, given that u(d) = 0.
-2, -1/2, 0
Let q be 58/18 - ((-329)/(-63) - 5). Suppose 3*n**3 - 2*n**3 - 4 + 22*n + 0 - 8*n**2 - 11*n**q = 0. Calculate n.
-2, 1/5, 1
Solve -42 + 15/7*t**4 + 237/7*t**3 + 1107/7*t**2 + 177*t = 0.
-7, -2, 1/5
Suppose -5*q = -15, -3*x - 4*q + 18 + 3 = 0. Let f(h) be the second derivative of -1/6*h**x - 2*h + 0 + 0*h**2 + 1/24*h**4. What is z in f(z) = 0?
0, 2
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