f) be the second derivative of 1/2*f**u - 3/2*f**2 + 0 + 9/4*f**4 - 7*f - 27/20*f**5. Factor v(m).
-3*(m - 1)*(3*m - 1)*(3*m + 1)
Let f be 126/(-70)*5/(-6). Factor -5/2*v**2 + 0 + 1/2*v**5 + 1/2*v**4 - f*v**3 - v.
v*(v - 2)*(v + 1)**3/2
Let f(o) be the first derivative of -14*o**5/19 - 58*o**4/19 + 178*o**3/19 - 136*o**2/19 + 40*o/19 + 618. Suppose f(g) = 0. Calculate g.
-5, 2/7, 2/5, 1
Let u(o) be the third derivative of -o**6/24 + o**5/12 - 2*o**2 + 18. Factor u(f).
-5*f**2*(f - 1)
Let x(m) be the third derivative of 0 - 9*m**2 - 1/7*m**8 - 49/160*m**6 + 0*m + 253/80*m**5 + 2*m**4 + 1/2*m**3 - 26/35*m**7. Suppose x(a) = 0. Calculate a.
-2, -1/8, 1
Suppose b + 5*l = 18, -6 - 3 = -5*b + 2*l. Let w(x) be the second derivative of 0 - 1/48*x**b - 3*x - 1/8*x**2 + 1/96*x**4. Factor w(p).
(p - 2)*(p + 1)/8
Suppose -9 = -4*x + 3. Let d(a) = 4*a**2 - 3*a. Let u(z) be the third derivative of -z**4/24 + 9*z**2. Let l(i) = x*d(i) - 6*u(i). Factor l(w).
3*w*(4*w - 1)
Let b be 4/(-14) - 0 - 4*32171/(-3710). Let -64/5 - 496/5*r**3 + 608/5*r**2 - 224/5*r + b*r**4 - 22/5*r**5 = 0. What is r?
-2/11, 2
Let m(s) be the first derivative of 0*s - 12 - 9/2*s**2 - 1/3*s**4 - 1/15*s**5 + 0*s**3. Let y(b) be the second derivative of m(b). Solve y(v) = 0.
-2, 0
Suppose 14*x - 3*h + 380 = 18*x, -4*x + 400 = -2*h. Let q = x + -95. Find b, given that 0*b**q + 0*b**2 + 0 + 0*b - 1/7*b**4 + 1/7*b**5 = 0.
0, 1
Let h(m) be the second derivative of -m**5/100 - m**4/60 + 2*m**3/15 + 2*m**2/5 + 68*m. Find n, given that h(n) = 0.
-2, -1, 2
Let l(g) = g**3 + 3*g**2 - 4*g + 1. Let i be l(-3). Suppose i = -10*f + 33. Factor 0*t - 1/3*t**f + 1/3.
-(t - 1)*(t + 1)/3
Let m(u) be the second derivative of 1/18*u**4 + 1/3*u**2 + 0 + 2/9*u**3 + 28*u. Suppose m(i) = 0. What is i?
-1
Find d, given that -8*d**2 - 56/5 + 4/5*d**3 + 92/5*d = 0.
1, 2, 7
Let u(r) = -r**2 - 12*r - 12. Let a be u(-9). Suppose -2*p = -7*p + a. Factor -24*b + 27*b - 24*b**4 - 18*b**p + 3*b**5 - 12*b**5.
-3*b*(b + 1)**3*(3*b - 1)
Let 4*j**2 + j**2 - 5388 + 5383 = 0. What is j?
-1, 1
Let m(g) be the first derivative of 119*g**4/4 + 33*g**3 - 12*g**2 - 4*g + 175. Factor m(w).
(w + 1)*(7*w - 2)*(17*w + 2)
Let b(p) = 0*p**4 - 1 + 5 - 5*p**4 + 11*p**3 - 2*p**4 + 3*p**2 - p. Let k(j) = 3*j**4 - 5*j**3 - j**2 + j - 2. Let w(o) = -2*b(o) - 5*k(o). Solve w(x) = 0.
-1, 1, 2
Let f be (9/(-3) - -4)*3. Solve -16*q + 6*q**3 + 17*q**2 + 4 - 2*q**3 - 9*q**f + 0*q**3 = 0.
2/5, 1, 2
Let q = -6283 + 6285. Factor 1/8*s**4 - 3/8*s**3 + 0*s + 0*s**q + 0.
s**3*(s - 3)/8
Let p(s) be the first derivative of s**6/900 + 2*s**5/75 + 4*s**4/15 + 6*s**3 + 14. Let f(n) be the third derivative of p(n). Factor f(y).
2*(y + 4)**2/5
Let a be 15/10 - 2 - (-30)/12. Find c, given that 1/8*c**a + 0*c + 0 = 0.
0
Let a be (-46)/(-12) + (-1)/(-6). Solve -12*f**2 - 8*f**3 - 13*f + 0*f**2 + a*f**3 - 4 + f = 0.
-1
Let y be -10*4/16*(-248)/155. Find m, given that 4/5*m - 2/5 - 4/5*m**3 + 2/5*m**y + 0*m**2 = 0.
-1, 1
Let v = -12 + 17. Let c = v + -2. Determine t so that -102 - 84*t**4 + 102 + 6*t**2 - 3*t**c = 0.
-2/7, 0, 1/4
Factor -9*q**2 - q + 14*q**2 + 2*q**3 - 2 - q**3 - 3*q**4.
-(q - 1)**2*(q + 1)*(3*q + 2)
Let r(d) be the first derivative of -d**7/56 - d**6/24 - d**5/80 + d**4/48 + 11*d - 29. Let b(q) be the first derivative of r(q). Factor b(g).
-g**2*(g + 1)**2*(3*g - 1)/4
Determine g, given that -2/9*g**2 + 2/9*g**4 + 0*g + 0*g**3 + 0 = 0.
-1, 0, 1
Let v be 2/(-4)*42/(-126). Suppose -1/6*y - 1/3 + v*y**2 = 0. What is y?
-1, 2
Let i be (-390)/(-165) - (-8)/(-22). Factor 0*n**i - 6/5*n + 2/5*n**3 + 4/5.
2*(n - 1)**2*(n + 2)/5
Let h(c) be the second derivative of 5*c**4/16 - 37*c**3/8 + 21*c**2/4 - 53*c. Suppose h(b) = 0. Calculate b.
2/5, 7
Solve -2/3*l + 0 - 2/9*l**3 - 8/9*l**2 = 0.
-3, -1, 0
Suppose -8*i = -12*i + 100. Factor 20*c**3 - 3*c**2 - i*c**3 - 2*c**2 + 10*c.
-5*c*(c - 1)*(c + 2)
Let j(u) be the third derivative of -u**8/8400 - u**7/3150 + u**6/450 + 3*u**4/4 + 18*u**2. Let a(f) be the second derivative of j(f). Factor a(z).
-4*z*(z - 1)*(z + 2)/5
Let b = 122 + -1829/15. Let f(d) be the third derivative of 0 - 1/6*d**3 + 1/80*d**6 - 3*d**2 - b*d**5 + 7/48*d**4 + 0*d. Determine c so that f(c) = 0.
2/3, 1
Let k(t) be the third derivative of t**6/1620 + t**5/540 - t**4/54 - 14*t**3/3 + 13*t**2. Let y(c) be the first derivative of k(c). Factor y(z).
2*(z - 1)*(z + 2)/9
Solve 1/5*j**2 - 2*j + 1/5*j**3 + 8/5 = 0 for j.
-4, 1, 2
Let r = 408 - 2853/7. Let 3/7*d + 0*d**3 - 6/7*d**4 + 6/7*d**2 - r*d**5 + 0 = 0. What is d?
-1, 0, 1
Solve -2*c**2 - 69 + 23*c**2 - 18*c**2 - 18*c - 12 = 0 for c.
-3, 9
Let i be ((-621)/(-27) + -22)*5. Factor 0 - 8/5*b**4 + 8/5*b**2 - 4/5*b + 0*b**3 + 4/5*b**i.
4*b*(b - 1)**3*(b + 1)/5
Let w(y) be the second derivative of y**8/1344 - y**6/240 + y**4/96 + 2*y**2 + 9*y. Let z(v) be the first derivative of w(v). Factor z(s).
s*(s - 1)**2*(s + 1)**2/4
Let g(j) be the second derivative of j**7/294 - j**5/140 + 111*j + 2. Factor g(r).
r**3*(r - 1)*(r + 1)/7
Let t(h) = -h**3 + h**2 + 22*h + 8. Let z(d) = d**2 - 1. Let r(n) = -3*t(n) - 24*z(n). Factor r(p).
3*p*(p - 11)*(p + 2)
Let y(n) be the second derivative of 0 + 0*n**2 - 3/14*n**3 + 1/28*n**4 - 12*n. Solve y(o) = 0.
0, 3
Let q(i) be the third derivative of -i**5/15 + i**4/6 + 4*i**3/3 + 67*i**2 + 1. Factor q(t).
-4*(t - 2)*(t + 1)
Let z(g) be the first derivative of -325*g**6/6 - 41*g**5 - 43*g**4/4 - g**3 - 119. Find o such that z(o) = 0.
-3/13, -1/5, 0
Let b be (2 - (-11)/(-8))*28*13/910. Factor -b*h + 0 - 1/2*h**3 - 3/4*h**2.
-h*(h + 1)*(2*h + 1)/4
Let p(f) = 6*f**2 + 108*f + 189. Let g(i) = 5*i**2 + 107*i + 192. Let q(w) = 3*g(w) - 2*p(w). Solve q(t) = 0.
-33, -2
Let q(b) = -35*b + 177. Let i be q(5). Suppose -4/3*z**3 + 4/3*z + 0*z**i + 0 = 0. What is z?
-1, 0, 1
Let b(o) = o**3 + 16*o**2 + 15*o + 4. Let t be b(-15). Solve -11*c**2 - c**2 + 31*c - 39*c + 5*c**4 - c**t = 0 for c.
-1, 0, 2
Find s such that -2*s**2 + 2/3*s**4 - 44/3 - 22/3*s**3 + 70/3*s = 0.
-2, 1, 11
Let a = -1/2517 + 5051/42789. Factor -a*c**2 + 6/17 - 4/17*c.
-2*(c - 1)*(c + 3)/17
Let g be 45/18*(-32 + 2). Let j be (-105)/g*(-2)/(-7). Factor -j*z**2 + 4/5*z + 0.
-2*z*(z - 2)/5
Suppose -5*y + 15*y - 10 = 0. Let j be y*7/((-28)/(-16)). Find m, given that 3/2 + 3/2*m**3 + 3*m**j - 3/2*m - 9/2*m**2 = 0.
-1, 1/2, 1
Let g(d) = -2*d**2 + 1 - 3*d**2 + 4*d**2 - 4*d**3. Let o be g(-1). What is r in -2*r**5 + o + 2*r**3 + 3*r**2 - 4*r**4 - 4 + r**2 = 0?
-2, -1, 0, 1
Let s(f) be the first derivative of -2*f**6/15 - 4*f**5/5 - f**4 + 8*f**3/3 + 8*f**2 - 9*f + 25. Let w(c) be the first derivative of s(c). Factor w(a).
-4*(a - 1)*(a + 1)*(a + 2)**2
Let h(x) = 11*x**5 - 4*x**4 - x**3 - 3*x**2 + 2. Let g(c) = -13*c**5 + 5*c**4 + 4*c**2 + c - 3. Let j(s) = 5*g(s) + 6*h(s). Solve j(d) = 0.
-3, -1, 1
Let d = -4 + 6. Suppose 0 = 5*m + u - 9, 48 - 39 = 3*m - 3*u. Factor d*o**m + 2/5*o - 2/5 + 6/5*o**3.
2*(o + 1)**2*(3*o - 1)/5
Factor -156/5*z + 3/5*z**2 + 2028/5.
3*(z - 26)**2/5
Suppose 67/2*s - 1/6*s**3 - 105/2 - 29/6*s**2 = 0. What is s?
-35, 3
Suppose 19*g = 8 + 30. Factor l**g - 12 - 28 - 10*l + 4*l**2.
5*(l - 4)*(l + 2)
Let v(r) be the third derivative of 0*r - 15*r**2 + 0 - 2/39*r**3 - 1/390*r**5 - 1/52*r**4. Solve v(x) = 0 for x.
-2, -1
Let n = 37/113 + 2/339. Let l(x) be the second derivative of -x**4 + 0*x**2 + 4*x - 9/10*x**5 - n*x**3 + 0. Suppose l(v) = 0. What is v?
-1/3, 0
Suppose -45 + 17 = -4*j. Let a(g) = -12*g**2 + 2*g + 7. Let d(w) = 11*w**2 - w - 6. Let c(x) = j*d(x) + 6*a(x). Factor c(i).
5*i*(i + 1)
Factor -1472 + 0*k**2 - 487 - 637 + 571 + 90*k - k**2.
-(k - 45)**2
Let r(a) = 6*a**3 - 2*a + 2. Let z be r(1). Suppose 14 = 5*o - z. Factor 2/9*l**5 + 0*l**2 + 4/9*l**o + 0 + 2/9*l**3 + 0*l.
2*l**3*(l + 1)**2/9
Let p(x) be the first derivative of -3*x**4/16 + 7*x**3/4 - 9*x**2/2 + 29. Factor p(i).
-3*i*(i - 4)*(i - 3)/4
Let p(z) = -5*z**3 - z**2 - 1. Let f be p(-1). Let y(c) be the first derivative of -2*c - 5/3*c**2 + 1/6*c**4 - 8 - 2/9*c**f. Factor y(m).
2*(m - 3)*(m + 1)**2/3
Let d(j) be the first derivative of -3*j**5/5 - 27*j**4/4 + 48*j**3 - 78*j**2 + 29. Factor d(p).
-3*p*(p - 2)**2*(p + 13)
Let x(q) = 120*q**3 - 710*q**2 + 570*q - 100. Let j(g) = -24*g**3 + 142*g**2 - 114*g + 20. Let w(m) = 14*j(m) 