 second derivative of 0 + 1/6*w**4 + 1/2*w**2 - 1/2*w**3 - g*w. Suppose z(h) = 0. Calculate h.
1/2, 1
Let g = 87/7 + -205/21. Let b be -6*(93/(-27) - -3). Solve b*r**2 + 2/3*r**4 + 0*r + g*r**3 + 0 = 0 for r.
-2, 0
Let w(t) = t**4 - t**3 + t**2 - t. Let k(l) = 8*l**4 - 14*l**3 + 18*l**2 - 14*l + 2. Let g(y) = -k(y) + 6*w(y). What is r in g(r) = 0?
1
Let j(g) be the second derivative of g**4/6 - 4*g**3/3 - 101*g - 1. Factor j(u).
2*u*(u - 4)
Let t(f) = f**2 + 17*f - 26. Let y be t(-19). Find l such that -y*l - 4*l**2 - 9 - 4*l + 9 = 0.
-4, 0
Let s(p) = -p**3 + 2*p**2 - p + 6. Let r be s(0). Let -5 + 64*g - 108 - 137 - r - 4*g**2 = 0. What is g?
8
Let p(c) be the third derivative of 0*c**4 + 0 - 1/144*c**8 - 1/90*c**5 + 1/315*c**7 + 0*c - 10*c**2 + 0*c**3 + 7/360*c**6. Determine h, given that p(h) = 0.
-1, 0, 2/7, 1
Let f(o) be the third derivative of -o**7/210 - 13*o**6/30 - 169*o**5/15 - 83*o**2. Determine g so that f(g) = 0.
-26, 0
Let r(o) be the third derivative of 5*o**6/24 + 7*o**5/4 - 35*o**4/8 - 25*o**3/6 - 2*o**2. Suppose r(q) = 0. What is q?
-5, -1/5, 1
Let a(k) = -4*k**3 + 44*k**2 - 94*k - 140. Let t(d) = 8*d**3 - 88*d**2 + 187*d + 278. Let q(z) = 5*a(z) + 2*t(z). Find c such that q(c) = 0.
-1, 6
Let w be (2/7)/((-18)/171). Let d = w - -3. Factor 0*s - 4/7*s**3 + 0 - 2/7*s**4 - d*s**2.
-2*s**2*(s + 1)**2/7
Suppose -9*y + 0*y = -144. Suppose -8 - y - 5*d**3 - 45*d + 9 - 30*d**2 - 5 = 0. What is d?
-4, -1
Let v(f) be the third derivative of 0*f + 1/60*f**5 - 10*f**2 + 0 + 1/240*f**6 + 1/48*f**4 + 0*f**3. What is y in v(y) = 0?
-1, 0
Let f(c) be the first derivative of -21 + 64/15*c**3 + 16/25*c**5 + 6/5*c**2 - 8/5*c + 3*c**4. Solve f(s) = 0.
-2, -1, 1/4
Let w be 15/10 - 2421/1620. Let x(t) be the third derivative of w*t**6 + 1/36*t**4 + 0*t + 1/45*t**5 + 0*t**3 + 0 + t**2. Factor x(c).
2*c*(c + 1)**2/3
Let h(c) be the second derivative of 32*c + 0*c**2 + 0 + 1/36*c**4 + 1/18*c**3 - 1/90*c**6 - 1/60*c**5. Suppose h(l) = 0. What is l?
-1, 0, 1
Let h(q) be the second derivative of q**5/40 - q**4/4 + q**3 - 2*q**2 - 267*q. Factor h(a).
(a - 2)**3/2
Suppose 2*o + 10 = 2*l, -3*l - 5*o - 19 = -18. What is x in 2/3*x - 1/3*x**l + 1/3*x**2 + 0 = 0?
-1, 0, 2
Let t be (2 - 50/(-10)) + -3*1. Let w(f) be the first derivative of t*f**2 - 8*f + 1 - 2/3*f**3. What is p in w(p) = 0?
2
Factor 24*g**3 - 64*g**2 + 0 - 1/2*g**5 + 0*g**4 + 0*g.
-g**2*(g - 4)**2*(g + 8)/2
Determine g, given that 2/5*g**3 + 4*g**2 + 0 + 32/5*g = 0.
-8, -2, 0
Let k = 271/6 - 46. Let g = -1/30 - k. Factor g*f + 0 - 2/5*f**2.
-2*f*(f - 2)/5
Find g such that 2/9*g - 4/9*g**4 - 5/9*g**3 + 7/9*g**2 + 0 = 0.
-2, -1/4, 0, 1
Suppose 1384 = -12*f + 1408. Let 0 - 4/3*p**2 - 2/3*p**4 + 0*p + f*p**3 = 0. What is p?
0, 1, 2
Factor -s**3 - 8*s**2 + 177 - 177 + 9*s.
-s*(s - 1)*(s + 9)
Let u(l) be the first derivative of l**4/12 - 2*l**3/3 - l**2/6 + 2*l - 129. Factor u(b).
(b - 6)*(b - 1)*(b + 1)/3
Let h be 31/5 - (-18)/(-3). Let q(z) be the second derivative of 0 + 0*z**2 - 1/2*z**4 - 3/20*z**5 + 1/2*z**3 - z + h*z**6. What is t in q(t) = 0?
-1, 0, 1/2, 1
Let h(j) = 5*j**2 + 1. Let p = -19 + 13. Let r(f) = f**2. Let o(d) = p*r(d) + h(d). Find z such that o(z) = 0.
-1, 1
Factor -14/3*f - 49/3 - 1/3*f**2.
-(f + 7)**2/3
Suppose 9 + 0 = k + 2*w, 2*k - 19 = -5*w. Factor 3*c**2 + 15*c**3 + 2*c**2 + 4*c**4 + k*c**5 + 11*c**4 - 2*c**5.
5*c**2*(c + 1)**3
Let x be (-4)/(-6) - 39/(-9). Suppose 2*q + 5 = x*g - 3*q, -5*g + 15 = 5*q. Factor -c**3 + 0 + 5/2*c**4 + 0*c + 0*c**g.
c**3*(5*c - 2)/2
Let r(w) be the first derivative of w**4/5 - 104*w**3/15 + 338*w**2/5 - 332. Factor r(k).
4*k*(k - 13)**2/5
Let v(b) be the second derivative of -b**7/105 - b**6/75 + 9*b**5/50 + 3*b**4/10 + 5*b + 37. Let v(t) = 0. Calculate t.
-3, -1, 0, 3
What is q in -3 - 51*q**2 - 25 - q**4 + 20*q**3 - 15*q - 13*q**3 + 6*q**3 + 82*q = 0?
1, 4, 7
Suppose -j - 4*r + r - 6 = 0, -5*r = 20. Let i(s) be the first derivative of 1/3*s**3 + 1/4*s**4 - j + 0*s - s**2. Factor i(u).
u*(u - 1)*(u + 2)
Let v(u) be the first derivative of u**6/15 - 6*u**5/5 + 13*u**4/5 + 7. Determine g, given that v(g) = 0.
0, 2, 13
Let q(h) be the first derivative of h**5/190 + h**4/114 - 2*h**3/19 + 27*h - 42. Let y(k) be the first derivative of q(k). Factor y(b).
2*b*(b - 2)*(b + 3)/19
Let t(n) = 4*n**3 + 41*n**2 - 53*n + 29. Let u(q) = 3*q**3 + 39*q**2 - 54*q + 30. Let x(p) = -6*t(p) + 7*u(p). Factor x(r).
-3*(r - 6)*(r - 2)*(r - 1)
Factor -w**3 + 68/3*w + 28/3 + 37/3*w**2.
-(w - 14)*(w + 1)*(3*w + 2)/3
Let l = 131 + -155. Let y be l/(-84) + (-6)/21. Factor -10/3*h**4 + 0*h + y + 0*h**2 + 2*h**5 + 4/3*h**3.
2*h**3*(h - 1)*(3*h - 2)/3
Let n be -83 + 79 + 7*(-1 + 2). Let f(r) be the second derivative of r**2 + 5*r + 0 - 1/6*r**n + 1/96*r**4. Determine s so that f(s) = 0.
4
Let b be ((-35)/(-30))/((-252)/(-54)). Factor b + 1/4*i**3 - 1/4*i - 1/4*i**2.
(i - 1)**2*(i + 1)/4
Let v(w) be the second derivative of -17*w**4/12 - 31*w**3/6 + 3*w**2 - 9*w + 8. Factor v(z).
-(z + 2)*(17*z - 3)
Let j be 6/(11/(-44)*-14). Factor 2/7*t**2 + j*t + 18/7.
2*(t + 3)**2/7
Let u(b) be the second derivative of -b**7/630 - b**6/180 + b**5/15 + 5*b**4/12 + 4*b. Let m(y) be the third derivative of u(y). Let m(q) = 0. Calculate q.
-2, 1
Let g(v) be the third derivative of 0*v - 5/8*v**4 + 0*v**3 + 0 - 17*v**2 - 1/12*v**5. Determine m, given that g(m) = 0.
-3, 0
Let h(y) = -5*y**2 + y - 17. Let q(l) = l**2 + l + 1. Suppose -o - t + 5 = 4, -5*t + 3 = 4*o. Let m(s) = o*h(s) + 14*q(s). Factor m(w).
4*(w - 1)*(w + 5)
Factor -88/7*i + 416/7 - 4/7*i**2.
-4*(i - 4)*(i + 26)/7
Let k(u) = -40*u**2 - 44*u - 14. Let l(n) = -44*n**2 - 44*n - 12. Let t(r) = -6*k(r) + 5*l(r). Factor t(c).
4*(c + 1)*(5*c + 6)
Let l(x) = 9*x**4 - 2*x**2 + 8*x - 3. Let k(n) = -16*n**4 + n**3 + 3*n**2 - 15*n + 6. Let i(o) = -4*k(o) - 7*l(o). Factor i(h).
(h - 3)*(h - 1)**2*(h + 1)
Let m be (-4 + -4 + 2)/(-2). Factor 4 + 3*z**2 - 1/2*z**m - 6*z.
-(z - 2)**3/2
Let g = -117 - -122. Factor 2/3*z**4 + 0*z + 0 + 2/9*z**2 + 2/9*z**g + 2/3*z**3.
2*z**2*(z + 1)**3/9
Let c(w) be the second derivative of -w**7/280 + 23*w**3/6 - 3*w. Let p(r) be the second derivative of c(r). Factor p(x).
-3*x**3
Let o(i) be the first derivative of 0*i**4 + 0*i - 4/5*i**5 + 4*i**3 - 4*i**2 + 17. Determine a so that o(a) = 0.
-2, 0, 1
Let w(l) be the first derivative of l**8/420 - l**7/210 - l**6/30 + l**5/30 + l**4/3 + 14*l**3/3 + 13. Let p(y) be the third derivative of w(y). Factor p(k).
4*(k - 2)*(k - 1)*(k + 1)**2
Let o(t) = 3*t**2 - 5*t - 8. Let c(f) = 6 - 4 + 7 - 3*f**2 + 6*f. Let i(q) = -2*q + 28. Let z be i(15). Let s(h) = z*c(h) - 3*o(h). Factor s(u).
-3*(u - 2)*(u + 1)
Let y(i) be the second derivative of 0*i**3 + 1/6*i**6 + 5/4*i**5 + 1 + 0*i**2 - 7*i + 0*i**4. Factor y(q).
5*q**3*(q + 5)
Let v(r) be the first derivative of -4*r**3/3 + 50*r**2 - 96*r - 45. Factor v(d).
-4*(d - 24)*(d - 1)
Let p be -3 + 26/6 - 1148/(-714). Let -108/17*g**2 - 8/17*g**4 - 88/17*g - 16/17 - p*g**3 = 0. Calculate g.
-2, -1/4
Let t(m) = m**5 + m**2 - 2*m - 1. Let h(p) = -28*p**5 + 4*p**4 + 4*p**3 - 28*p**2 + 48*p + 24. Let u(d) = -h(d) - 24*t(d). Factor u(j).
4*j**2*(j - 1)**2*(j + 1)
Let k(w) be the third derivative of 5*w**8/336 + 4*w**7/21 + 11*w**6/12 + 7*w**5/3 + 85*w**4/24 + 10*w**3/3 + 107*w**2. Let k(h) = 0. Calculate h.
-4, -1
Let v(m) be the second derivative of m**8/336 + m**7/28 + m**6/8 - 7*m**3/6 + 8*m. Let c(i) be the second derivative of v(i). Factor c(r).
5*r**2*(r + 3)**2
Determine p so that -24*p**2 - 11*p**2 + 379*p - 122 + 39 + 226*p - 87 = 0.
2/7, 17
Factor 76*f**2 - 9*f**3 + 6*f**3 - 112*f**2 - 108*f.
-3*f*(f + 6)**2
Let z(m) be the third derivative of 2*m**8/21 - 24*m**7/35 + 41*m**6/60 + 19*m**5/5 - 15*m**4/4 - 18*m**3 - 159*m**2. Let z(g) = 0. Calculate g.
-3/4, 1, 2, 3
Let l(m) be the third derivative of -1/12*m**5 - 5/24*m**4 + 0 + 21*m**2 + 5/3*m**3 + 0*m. Factor l(s).
-5*(s - 1)*(s + 2)
Let x = 16 - 10. Let w(b) = 5*b - 27. Let q be w(x). Factor -1/6*g**q - 5/6*g**2 - 2/3 - 4/3*g.
-(g + 1)*(g + 2)**2/6
Let z(u) = 13*u**5 + 17*u**4 - 11*u**3 + 5*u. Let c(q) = 5*q**5 + 8*q**4 - 6*q**3 + 2*q. Let y(n) = -10*c(n) + 4*z(n). What is s in y(s) = 0?
0, 2, 4
Let l(p) be the third derivative of -p**6/120 + 13*p**5/45 + p**4/2 + 65*p*