 of 3/4*w**3 + 1/4*w**4 + 33*w**2 + 3/160*w**5 + 0 + 0*w - 1/320*w**6. Determine h, given that r(h) = 0.
-2, -1, 6
Let i(d) = -d**2 - 5*d - 3. Let z be i(-2). Suppose -z*a = -2*a - 2. Factor -4/5 - 6/5*k**a + 2*k.
-2*(k - 1)*(3*k - 2)/5
Let k(q) be the second derivative of -q**8/10080 - q**7/1260 - q**6/540 + 7*q**3/6 - q**2 - 21*q. Let z(v) be the second derivative of k(v). Factor z(y).
-y**2*(y + 2)**2/6
Factor 11025*k + 330*k**2 + 341*k**2 + 3*k**3 - 356*k**2 + 128625.
3*(k + 35)**3
Let t(k) be the first derivative of -5/4*k**4 + 0*k + 2*k**2 + 31 - 8/3*k**3. Factor t(a).
-a*(a + 2)*(5*a - 2)
Let o(x) be the third derivative of 3*x**8/196 - 74*x**7/735 + 29*x**6/105 - 2*x**5/5 + 13*x**4/42 - 2*x**3/21 + 313*x**2. Let o(h) = 0. Calculate h.
1/9, 1
Let p(h) = -2*h**3 + 8*h**2 + 9*h - 3. Let a(f) = -2*f**3 + 9*f**2 + 11*f - 4. Let x(o) = -3*a(o) + 4*p(o). Solve x(j) = 0 for j.
-1/2, 0, 3
Factor -4/3*s**2 + 4*s - 1/3*s**3 + 0.
-s*(s - 2)*(s + 6)/3
Let a(l) be the first derivative of -l**6/2520 + l**5/280 + 4*l**3 - 20. Let j(o) be the third derivative of a(o). Find c such that j(c) = 0.
0, 3
Let x(w) be the third derivative of -w**7/140 - w**6/5 - 3*w**5/8 - 523*w**2. Let x(t) = 0. Calculate t.
-15, -1, 0
Let u(m) = -m**3 + 7*m**2 + 118*m - 740. Let v be u(6). Factor 2/7*k**v + 0*k + 0*k**2 + 0*k**3 + 0 - 2/7*k**5.
-2*k**4*(k - 1)/7
Let c be 24/(-76)*(-4)/6. Find v such that 2/19*v - 2/19*v**2 + c = 0.
-1, 2
Let c(j) be the second derivative of 0 - 3/2*j**4 + 9*j + 3/2*j**3 - 1/2*j**2. Determine n, given that c(n) = 0.
1/6, 1/3
Let b(y) = 12*y - 6. Let m be b(2). Suppose -4*k = -3*d + m - 3, 5 = k + d. Find o such that 1/3*o**5 + 4/3*o - 2/3*o**4 + k - o**3 + 4/3*o**2 = 0.
-1, 0, 2
Let b = 3646/7 - 520. Let i be (102/(-18) + 6)*(-12)/(-14). Factor 2/7*v**4 - 4/7 - 6/7*v**3 + i*v**2 + b*v.
2*(v - 2)*(v - 1)**2*(v + 1)/7
What is x in 2/3*x**3 - 50/3 + 10*x + 6*x**2 = 0?
-5, 1
Let r(m) be the first derivative of -m**6/80 - m**5/120 - 7*m**2/2 + 13. Let i(g) be the second derivative of r(g). Find t such that i(t) = 0.
-1/3, 0
Let k(j) be the second derivative of j**8/840 - j**7/140 + j**6/60 - j**5/60 + 3*j**3 + 13*j. Let y(s) be the second derivative of k(s). Factor y(l).
2*l*(l - 1)**3
Factor 4*p**2 + 1/4*p**3 + 85/4*p + 75/2.
(p + 5)**2*(p + 6)/4
Let l(f) be the first derivative of -3*f**4/4 + 5*f**3 + 54*f**2 + 486. Determine c, given that l(c) = 0.
-4, 0, 9
Let w(l) be the second derivative of 14*l + 3/8*l**4 + 1/2*l**2 + 0 - 7/12*l**3 - 1/8*l**5 + 1/60*l**6. Factor w(z).
(z - 2)*(z - 1)**3/2
Let n be (-104)/676 + 82/26. Factor 0*k**2 - 2/13 + 2/13*k**4 + 4/13*k**n - 4/13*k.
2*(k - 1)*(k + 1)**3/13
Let j(a) = -a**3 - 4*a**2 + 8*a + 9. Let s be j(-5). Let k be ((-1)/(-7))/(s/(-24)). Find l, given that 0*l + 0 + k*l**3 - 2/7*l**2 - 2/7*l**4 = 0.
0, 1
Factor 1542*a**3 + 578*a - 13255*a**3 - 844 - 40890*a**2 - 30337*a**3 + 836 + 574*a.
-2*(a + 1)*(145*a - 2)**2
Let h(y) be the first derivative of -y**7/70 + y**5/20 + 11*y**2/2 - 9. Let g(x) be the second derivative of h(x). Solve g(l) = 0.
-1, 0, 1
Suppose 21*t - 19*t = -20*t. Let d(a) be the third derivative of 10*a**2 - 1/60*a**5 + 1/120*a**6 + 0 + 0*a**3 + 0*a + t*a**4. Find o such that d(o) = 0.
0, 1
Let a be (0 - -2) + -1 + 62. Let i = a - 43. Let -4*k**5 - 32*k**4 + i*k**4 - 8*k**3 + 0*k**5 = 0. Calculate k.
-2, -1, 0
Let q(r) be the third derivative of 2*r**7/63 - 11*r**6/90 + 7*r**5/45 - r**4/18 - 215*r**2. Factor q(l).
4*l*(l - 1)**2*(5*l - 1)/3
Let m(f) be the second derivative of f**6/240 + 13*f**5/160 + 11*f**4/32 + 31*f**3/48 + 5*f**2/8 + 156*f. Factor m(q).
(q + 1)**3*(q + 10)/8
Factor -18*q + 2/7*q**4 + 0 - 66/7*q**2 - 2/7*q**3.
2*q*(q - 7)*(q + 3)**2/7
Let g(q) be the first derivative of q**6/6 + q**5/4 - 5*q**4/12 - 5*q**3/6 + 12*q + 13. Let m(p) be the first derivative of g(p). Factor m(z).
5*z*(z - 1)*(z + 1)**2
Let b(j) = j**4 + 96*j**3 - 862*j**2 + 1440*j - 671. Let f(r) = 6*r**4 + 672*r**3 - 6033*r**2 + 10080*r - 4698. Let c(y) = 27*b(y) - 4*f(y). Factor c(z).
3*(z - 15)**2*(z - 1)**2
Let t(c) be the third derivative of -c**5/360 - c**4/36 + c**3/3 - 2*c**2 + 16. Determine m so that t(m) = 0.
-6, 2
Let a(i) = -6*i - 38. Let k be a(-12). Factor k*t**3 - 74*t**3 + 41*t**3 - t**5.
-t**3*(t - 1)*(t + 1)
Factor -54/11 - 24/11*w - 2/11*w**2.
-2*(w + 3)*(w + 9)/11
Factor -5/3*f + 40/3*f**2 + 5/3*f**3 - 40/3.
5*(f - 1)*(f + 1)*(f + 8)/3
Let m(q) be the third derivative of q**7/525 + q**6/25 + 7*q**5/25 + q**4/3 - 5*q**3 + 119*q**2. Solve m(a) = 0 for a.
-5, -3, 1
Let u(r) = r**2. Let k(l) = 7*l**2 - 2*l. Suppose 0 = 2*d + h + 9, -d - 4*h = -4*d + 14. Let t(b) = d*k(b) + 10*u(b). Determine g, given that t(g) = 0.
0, 1
Let k(g) = -g**2 + 4*g - 9. Let a be k(5). Let x be a/35 + ((-27)/15 - -3). Factor 0 + x*y**2 + 4/5*y**3 - 8/5*y.
4*y*(y - 1)*(y + 2)/5
Factor 134/9*r - 2/9*r**4 + 50/9*r**3 - 46/3*r**2 - 44/9.
-2*(r - 22)*(r - 1)**3/9
Suppose -4*l - 60 = -204. Let w = 36 - l. Factor w + 2/3*t**2 - t**3 + 0*t**4 + 0*t + 1/3*t**5.
t**2*(t - 1)**2*(t + 2)/3
Let z = -271 - -273. Let q = 1 + -1. Factor 10 + q*f**2 + z*f - f**2 - 10.
-f*(f - 2)
Let f(c) be the first derivative of -2197*c**6/60 + 169*c**5/5 - 13*c**4 + 8*c**3/3 + 7*c**2 - 17. Let t(x) be the second derivative of f(x). Factor t(n).
-2*(13*n - 2)**3
Let c(g) be the second derivative of 7*g**7/50 - 7*g**6/75 + 2*g**5/75 - 5*g**4/6 - 4*g. Let b(d) be the third derivative of c(d). Factor b(l).
4*(21*l - 2)**2/5
Let r be (-8)/(-1)*8/32. Let m(p) be the second derivative of 0 - 1/9*p**4 + 2*p - r*p**2 + 8/9*p**3. Find h, given that m(h) = 0.
1, 3
Let o be -7 + 0 - 9/(-9). Let t be (o/(2 - 5))/1. Factor 2*r**5 + 6*r**4 + 0*r**2 + 0*r**t + 0*r**5.
2*r**4*(r + 3)
Suppose 5*d + 5*t - 65 = 0, -2*d - 5*t = d - 47. Suppose -10*i**2 - d*i + 10*i**4 - 24*i + 48*i - 20*i**3 + 5*i**5 = 0. Calculate i.
-3, -1, 0, 1
Let y(r) be the first derivative of -r**5/5 + 17*r**4/4 - 80*r**3/3 + 32*r**2 + 87. Determine t so that y(t) = 0.
0, 1, 8
Let t(k) = -21*k - 39. Suppose 4*f = 3*x + 6, 0 = -f - x + 5. Let u(z) = z**2 + 21*z + 38. Let n(a) = f*u(a) + 2*t(a). Suppose n(s) = 0. What is s?
-4, -3
Let u be (1 - (4 - 2))*-5. Solve u*m - 3 + 3 - 2*m + 3*m**2 = 0 for m.
-1, 0
Let q = 1973/18 - 219/2. Find d such that 0*d - 2/9*d**2 - 4/9*d**4 + 5/9*d**3 + 0 + q*d**5 = 0.
0, 1, 2
Let a(n) be the second derivative of -n**4/78 + n**2/13 + 11*n. Factor a(u).
-2*(u - 1)*(u + 1)/13
Let b(n) be the second derivative of 5*n + 1/12*n**4 + 1/2*n**2 + 0 + 1/3*n**3. Let j(q) = -q**2 - 2*q - 1. Let h(m) = 4*b(m) + 3*j(m). Factor h(k).
(k + 1)**2
Determine x so that 3/2*x + 0 - 1/6*x**2 = 0.
0, 9
Let f(u) be the third derivative of u**8/12 - 248*u**7/105 + 262*u**6/15 + 286*u**5/15 - 177*u**4/2 - 108*u**3 - 146*u**2. Solve f(g) = 0.
-1, -2/7, 1, 9
Let r(u) be the first derivative of -u**5/200 + u**4/24 - u**3/10 + 19*u - 35. Let h(l) be the first derivative of r(l). Find p such that h(p) = 0.
0, 2, 3
Let p be (2 - (6 + -1)) + 20 + 4. Solve -p*b**2 + 26*b**3 - 8*b**3 - 1 + 21*b**4 + 1 - 6*b - 12*b**5 = 0 for b.
-1, -1/4, 0, 1, 2
Suppose 2*t - 11 = -1. Suppose t*n = -8 + 23. Determine f so that -3 + f**2 - 2*f**2 - f + n = 0.
-1, 0
Let k(l) be the second derivative of 5*l**7/42 + 5*l**6/6 + l**5/2 - 10*l**4/3 + l - 61. Let k(v) = 0. What is v?
-4, -2, 0, 1
Let r(x) be the third derivative of -x**6/540 + x**5/270 + 7*x**4/54 - 8*x**3/9 - 126*x**2. Factor r(o).
-2*(o - 3)*(o - 2)*(o + 4)/9
Let p(x) be the third derivative of 8*x**2 - 1/60*x**6 - 1/42*x**7 + 0 + 0*x**3 + 0*x + 0*x**5 + 0*x**4 - 1/112*x**8. Factor p(n).
-n**3*(n + 1)*(3*n + 2)
Suppose 2/5*f**2 - 22/5*f + 36/5 = 0. Calculate f.
2, 9
Let s(n) be the second derivative of 5*n**4/12 - 5*n**3 - 40*n**2 - 3*n + 22. Factor s(i).
5*(i - 8)*(i + 2)
Let a(k) = k**2 + 1. Suppose -7*v + 2*v = 55. Let z(o) = -o - 13. Let b be z(v). Let j(l) = -8*l**2 - 2*l + 2. Let w(h) = b*a(h) - j(h). Solve w(s) = 0.
-1, 2/3
Factor 18 + 2*i**2 + 1 - 6 - 14*i + 7.
2*(i - 5)*(i - 2)
Let u be (-30)/20*14/(-3). Let a be ((-5)/4)/(u/(-700)). Let 6*r**2 - r**3 - 22*r**2 - 75*r - a + r**2 = 0. What is r?
-5
Let c(u) be the third derivative of -u**6/72 - u**5/12 + 5*u**4/8 + 3*u**3/2 + 11*u**2. Let d(o) be the first derivative of c(o). Find x,