0.
v**3*(v + 1)/2
Let s be 44 - (2 - 0) - 2. Let g(i) = i**2. Let c(j) = 9*j**2 - 4*j + 3. Let o(q) = s*g(q) - 5*c(q). Let o(f) = 0. Calculate f.
1, 3
Suppose 2*s - 8*b = -3*b + 11, b = -s - 5. Let a be s - (28/(-11))/1. Suppose -2*n**3 + a*n**5 - 2/11*n**4 + 18/11*n**2 + 8/11*n - 8/11 = 0. What is n?
-2, -2/3, 1
Suppose -51/5*i + 18/5 - 3/5*i**4 + 9*i**2 - 9/5*i**3 = 0. What is i?
-6, 1
Let p(w) be the third derivative of w**8/672 - w**7/210 - w**6/240 + w**5/60 + 4*w**2 + 2. Find x such that p(x) = 0.
-1, 0, 1, 2
Determine b so that -9/8*b**2 + 315/8*b - 3/8*b**3 + 1617/8 = 0.
-7, 11
Let j(b) be the second derivative of -b**4/4 + 29*b**3/2 - 81*b**2 - 30*b. Find s, given that j(s) = 0.
2, 27
Let l(t) be the first derivative of -4/9*t**3 + 0*t**2 - 15 + 0*t - 1/6*t**4. Suppose l(b) = 0. Calculate b.
-2, 0
Let b(i) be the second derivative of 65*i**4/66 + 67*i**3/33 + 2*i**2/11 + 26*i + 7. Factor b(q).
2*(q + 1)*(65*q + 2)/11
Let j(r) be the first derivative of -2*r**7/525 + r**5/100 - r**4/120 - 2*r**2 - 16. Let s(l) be the second derivative of j(l). What is p in s(p) = 0?
-1, 0, 1/2
Let s = 29 - 25. Suppose -2*n + 5 = r, -s*r + 8 = 3*n - 2*r. Solve h + 0 + 5/2*h**n + 1/2*h**4 + 2*h**3 = 0.
-2, -1, 0
Let z(i) be the first derivative of -i**6/4 + 21*i**5/10 + 9*i**4/8 - 23*i**3/2 + 21*i**2/2 + 126. Determine k, given that z(k) = 0.
-2, 0, 1, 7
Let j(s) be the second derivative of 10/3*s**3 + 5/2*s**2 + 0 - 54*s - 5/12*s**4 - s**5. Let j(r) = 0. Calculate r.
-1, -1/4, 1
Let m(b) be the first derivative of -72/5*b**5 + 15*b**3 + 0*b + 8*b**6 - 3*b**2 - 8 - 69/4*b**4. Solve m(i) = 0 for i.
-1, 0, 1/4, 2
What is k in 0 + 0*k - 4/9*k**2 + 2/9*k**3 = 0?
0, 2
Let v be (-5)/2*(-7)/(21/6). Let o be v + -5 + (-6)/(-3). Solve -2/5*d**5 - 16/5*d**3 + 0*d - 2*d**4 - 8/5*d**o + 0 = 0.
-2, -1, 0
Let i(u) be the second derivative of 9*u**5/4 + 31*u**4/4 - 6*u**2 + 14*u + 2. Factor i(d).
3*(d + 2)*(3*d - 1)*(5*d + 2)
Determine x so that 2/9*x**2 + 2/9*x**3 - 2*x - 2 = 0.
-3, -1, 3
Solve -37/4*h**2 - 3*h**3 + 1/2*h**5 + 3 - h + 11/4*h**4 = 0 for h.
-6, -1, 1/2, 2
Let 11 + 133*j - 3*j**2 + 27 + 68 - 16 = 0. Calculate j.
-2/3, 45
Factor 44/5*v - 144/5 - 2/5*v**2.
-2*(v - 18)*(v - 4)/5
Let q be (3/14)/((-36)/8*34/(-357)). Factor 0*x**3 - 6 + 9/2*x**2 - q*x**4 + 2*x.
-(x - 3)*(x - 1)*(x + 2)**2/2
Let i(n) be the first derivative of 363*n**4/10 + 616*n**3/15 + 47*n**2/5 + 4*n/5 - 19. Solve i(r) = 0.
-2/3, -1/11
Let a(j) = -3*j**2 - 8*j + 16. Let o(w) be the first derivative of -w**3/3 + 16. Let n(i) = a(i) - 4*o(i). Factor n(h).
(h - 4)**2
Let w = 346809 + -1743334/5. Let t = -1847 - w. Let -24/5 + 21/5*l**3 + 12*l - t*l**2 - 3/5*l**4 = 0. What is l?
1, 2
Find v such that 35*v**2 - 13*v**3 - 3*v + 2 + 3*v**4 - 2 - 22*v**2 = 0.
0, 1/3, 1, 3
Suppose 0 = 5*y - 9*y + 60. Let b = y + -13. Factor -4 + 31*o**3 - 80*o**2 + o**3 - 46*o - b.
2*(o - 3)*(4*o + 1)**2
Let y(h) be the second derivative of -h**4/12 + 10*h**3/3 - 19*h**2/2 + h - 191. Let y(z) = 0. Calculate z.
1, 19
Let r(s) be the first derivative of 0*s**2 - 5 + 0*s**5 - 3/10*s**4 - 4/15*s**3 + 1/15*s**6 + 0*s. Suppose r(x) = 0. Calculate x.
-1, 0, 2
Let t(r) be the third derivative of 1/8*r**6 + 0*r + 0*r**3 - 20*r**2 - 1/42*r**7 + 0 + 0*r**4 - 1/6*r**5. Suppose t(g) = 0. What is g?
0, 1, 2
Let b(a) be the third derivative of -a**6/300 - 106*a**5/25 - 11236*a**4/5 - 9528128*a**3/15 - 49*a**2 + 3*a. Find g such that b(g) = 0.
-212
Let s be -20 + -2 + 14 - -10. Factor 0 + 0*i**s + 1/6*i**3 - 1/6*i.
i*(i - 1)*(i + 1)/6
Suppose 4*r - 7*r = -9. What is f in 57*f**2 + 23*f - 274*f**3 + 11*f + 12 + 292*f**r + 14*f = 0?
-2, -2/3, -1/2
Suppose -18 = 8*w - 14*w. Factor 47*s**2 + 17*s + 19*s + 26 - 41*s**2 - 9*s**w - 3*s**4 - 2.
-3*(s - 2)*(s + 1)*(s + 2)**2
Let k(z) = -293*z + 3836. Let a be k(13). Find t, given that 6*t - a - 1/3*t**2 = 0.
9
Let w(d) = d**2 + 5*d - 21. Let t be w(3). Let z(n) be the first derivative of 5 + 0*n + n**2 - 1/3*n**t - 1/4*n**4. Find l, given that z(l) = 0.
-2, 0, 1
Let n(c) = 84 - 43 - 2*c**2 + 3*c - 44. Let f be -14*(-2 - 6/(-4)). Let d(r) = 4*r**2 - 5*r + 7. Let s(y) = f*n(y) + 3*d(y). Let s(z) = 0. What is z?
0, 3
Let w(x) be the first derivative of x**3/30 + 7*x**2/10 + 49*x/10 + 77. Determine r so that w(r) = 0.
-7
Let j(l) = -10*l**2 + 15*l - 5. Let v(k) = 15*k**2 - 23*k + 7. Let n be (-5 + (-75)/(-10))/(2/4). Let h(o) = n*v(o) + 7*j(o). Factor h(m).
5*m*(m - 2)
Let t be (-1)/(2/((-9)/(9/8))). Let w(y) be the third derivative of 4/3*y**3 + t*y**2 + 1/30*y**5 + 0*y + 0 - 1/3*y**4. Let w(o) = 0. Calculate o.
2
Let z(j) be the second derivative of -j**6/240 - j**5/160 + j**4/32 + 7*j**3/3 + 10*j. Let a(d) be the second derivative of z(d). Factor a(i).
-3*(i + 1)*(2*i - 1)/4
Factor -3/5*i**2 + 1/5*i**3 + 8/5 - 6/5*i.
(i - 4)*(i - 1)*(i + 2)/5
Let y(x) be the first derivative of x**3 + 0*x**2 - 21/5*x**5 + 0*x - 2*x**6 - 3/2*x**4 - 2. Factor y(j).
-3*j**2*(j + 1)**2*(4*j - 1)
Let y(u) be the second derivative of 0*u**3 + 28*u - 1/30*u**6 + 0*u**2 + 0 - 1/20*u**5 + 0*u**4. Factor y(t).
-t**3*(t + 1)
Suppose 0 = 73*y - 67*y - 12. Suppose -8/5*z**3 - 6/5*z**y - 2/5*z**4 + 0 + 0*z = 0. What is z?
-3, -1, 0
Let r(q) be the second derivative of 0 - 11/9*q**3 - 46*q + 4/3*q**2 + 7/18*q**4. Factor r(g).
2*(g - 1)*(7*g - 4)/3
Let q(i) be the third derivative of -i**6/360 - i**5/180 - 41*i**2. Factor q(z).
-z**2*(z + 1)/3
Let w(o) be the second derivative of -o**7/3360 + o**6/480 - o**5/160 - o**4/6 - 4*o. Let a(b) be the third derivative of w(b). What is r in a(r) = 0?
1
Let o be -10 + 910/50 + -8. What is h in 1/5*h**3 + 0 - 1/5*h + o*h**4 - 1/5*h**2 = 0?
-1, 0, 1
Let b(g) = 265*g**4 - 130*g**3 - 825*g**2 + 350*g + 615. Let f(v) = 19*v**4 - 9*v**3 - 59*v**2 + 25*v + 44. Let m(c) = 4*b(c) - 55*f(c). Factor m(n).
5*(n - 1)*(n + 1)**2*(3*n - 8)
Let m(x) be the first derivative of -x**6/720 - x**5/360 + x**4/144 + x**3/36 + 17*x**2/2 - 6. Let t(f) be the second derivative of m(f). Factor t(o).
-(o - 1)*(o + 1)**2/6
Let b(p) = -4*p**3 + 0*p**3 + 2*p**3 + 5*p + 5 + 3*p**3 + 5*p**2. Let r be b(-4). Factor l**2 - 11*l + 4*l + 5*l + r.
(l - 1)**2
Let b = -51 + 52. Let k = b - 1. What is y in k + 1/3*y - 2*y**3 - y**5 + 0*y**2 + 8/3*y**4 = 0?
-1/3, 0, 1
Let d(z) = -4*z**3 - 6*z**2 - 6*z - 4. Let n(v) = 18 + 13*v**2 + 9*v**3 + 19 - 28 + 13*v. Let m(o) = 7*d(o) + 3*n(o). Factor m(g).
-(g + 1)**3
Let m(n) = -n**3 + 18*n**2 - 20*n - 19. Let g(x) = x**2 - 2*x + 1. Let v(r) = -5*g(r) + m(r). Factor v(s).
-(s - 12)*(s - 2)*(s + 1)
Let k be 3/3 - 46/(-2). Let b = k + -22. Factor -2*q + q**4 + 2*q**4 + b*q + 3*q**2 - 6*q**3.
3*q**2*(q - 1)**2
Let u(y) be the first derivative of y**4/96 + y**3/12 + 3*y**2/16 + 51*y + 26. Let x(p) be the first derivative of u(p). Factor x(j).
(j + 1)*(j + 3)/8
Let f(l) = -l**4 - l**3 - 6*l**2 - 5*l + 1. Let k(q) = 6*q**2 + 4*q - 2. Suppose -3*z - z = -3*p - 30, 5*z = -2*p + 3. Let t(r) = p*k(r) - 4*f(r). Factor t(o).
4*(o - 1)**2*(o + 1)*(o + 2)
Solve 12*r**4 - 16*r**4 - 24*r**3 + 16*r**3 = 0.
-2, 0
Let h(p) = -2*p + 8 + 5*p - 5*p + p. Let v be h(4). Factor -c**v + 0*c**5 + c**4 - c**4 - 2*c + c**5 + 5*c**2 - 3*c**3.
c*(c - 1)**3*(c + 2)
Let g(a) be the first derivative of -a**3/3 + 9*a**2/2 + 5*a + 4. Let c be g(9). Determine f so that -9 + 1 - 2*f**3 + 8 + f**c + f = 0.
-1, 0, 1
Let y = -52651/44640 - -5/2976. Let q = y + 16/9. Factor -3/5 - 3/5*d + 3/5*d**3 + q*d**2.
3*(d - 1)*(d + 1)**2/5
Let v(h) be the first derivative of 5*h**3/2 - 10*h**2 - 15*h/2 - 133. Determine s, given that v(s) = 0.
-1/3, 3
Let r(d) be the third derivative of -d**10/378000 + d**8/50400 + 3*d**5/20 + 5*d**2. Let n(s) be the third derivative of r(s). Determine g so that n(g) = 0.
-1, 0, 1
Solve -27*d**4 + 1650 - 1650 - 3*d**3 - 3*d**3 = 0 for d.
-2/9, 0
Suppose -22*d + 18 = -16*d. Let u(c) be the first derivative of 0*c**d + 1/3*c**6 + 0*c**2 + 0*c + 1/2*c**4 - 5 - 4/5*c**5. Factor u(t).
2*t**3*(t - 1)**2
Let b(w) be the first derivative of 3*w**4/8 - 73*w**3/2 + 3885*w**2/4 + 4107*w/2 + 101. Factor b(l).
3*(l - 37)**2*(l + 1)/2
Let u be (-2)/7 + 2440/8589. Let o = u - -4930/13497. Solve -4/11*g + 0*g**2 + 2/11 + o*g**3 - 2/11*g**4 = 0.
-1, 1
Let f(o) be the second derivative of o**7/2520 - o**6/270 - 7*o