rivative of 0*o + 0*o**2 + o**4 - 9 + 4/3*o**u. Let x(j) = 0. Calculate j.
-1, 0
Let o(a) = 9*a**4 - 36*a**3 + a**2 + 15*a + 11. Let v(u) = -u**3 - u**2 + u + 1. Let y(m) = 2*o(m) - 22*v(m). Solve y(c) = 0 for c.
-2/9, 0, 1, 2
Let d = 32 - 30. Suppose -2*p - 8*p**3 + 4*p**3 + 2*p - p**4 - 4*p**d = 0. Calculate p.
-2, 0
Let t(i) = i - 2. Let c(f) = f**2 - 7*f + 19. Let u(m) = -4*c(m) - 36*t(m). Factor u(j).
-4*(j + 1)**2
Let w(f) be the third derivative of -f**6/40 + 5*f**5/4 - 143*f**4/8 - 169*f**3/2 - 97*f**2 + f. Find i such that w(i) = 0.
-1, 13
Let l = 31 + -29. Suppose -5 - 13*n**3 + 2*n**2 + l + 14*n**3 - 4*n - 5 = 0. Calculate n.
-2, 2
Let s = -2285/2 + 1143. Solve 0 - 1/4*g**4 + 1/2*g + 1/4*g**2 - s*g**3 = 0 for g.
-2, -1, 0, 1
Let j be 2552/(-484) - (2 - 8). Let o(x) be the first derivative of 2/33*x**3 + j*x + 4/11*x**2 - 1. Let o(k) = 0. What is k?
-2
Let g = 3269615/266908 + 2/66727. Determine t so that g*t**4 + 56*t**3 + 25*t + 263/4*t**2 + 3 = 0.
-3, -1, -2/7
Let -19 + 3*o**2 + 27 + 153*o - 8 = 0. What is o?
-51, 0
Let m(d) be the second derivative of 1/7*d**2 + 0 - 8*d + 2/21*d**3 - 1/105*d**6 + 0*d**4 - 1/35*d**5. Let m(o) = 0. Calculate o.
-1, 1
Let k(w) be the second derivative of w**7/441 - w**5/210 + 107*w. Factor k(p).
2*p**3*(p - 1)*(p + 1)/21
Suppose -4 = 2*d - 4*y, y - 13 = -d - 2*y. Suppose -6 = n - d*n, 4*l - 4*n = 0. Factor 2/9*g + 0 + 2/9*g**l.
2*g*(g + 1)/9
Suppose -55*m + 1/2*m**2 + 3025/2 = 0. Calculate m.
55
Let v(n) be the first derivative of -n**3 + 135*n**2/2 + 282*n + 291. Factor v(y).
-3*(y - 47)*(y + 2)
Let n = -1655 + 4966/3. Factor 4/3*c - c**4 - n*c**3 + 0 + 4*c**2.
-c*(c - 2)*(c + 2)*(3*c + 1)/3
Suppose 13 = 6*v - 11. Suppose v*w + 20 = 0, -4*j + 3*w = -11 - 28. Suppose -5 + 4*t - 18*t**3 + j*t**5 - 2*t**4 - 3 + 8 - 6*t**2 = 0. What is t?
-1, 0, 1/3, 2
Let k = 54 + -38. Factor -6*w**2 - 4 - 8*w - 2*w**2 + k + 4*w**2.
-4*(w - 1)*(w + 3)
Let a(d) be the second derivative of 3/7*d**2 + 0 - 1/35*d**5 + 1/28*d**4 + 35*d + 25/42*d**3. Factor a(z).
-(z - 3)*(z + 2)*(4*z + 1)/7
Let n(t) be the first derivative of 4*t**5/5 - 22*t**4 + 388*t**3/3 + 528*t**2 + 576*t - 62. Factor n(l).
4*(l - 12)**2*(l + 1)**2
Suppose -2*q + 110 = -0*q. Solve -2*c**2 - q*c - 1 + 51*c - 1 = 0 for c.
-1
Suppose -o - m + 4 = 0, 4*m + 48 = -0*o + 4*o. Let z be o + 5/(5/(-3)). Find n such that -z*n**5 - 2*n**5 + 4*n**3 + 3*n**5 + 4*n**4 - 4*n**2 = 0.
-1, 0, 1
Suppose -8*i - 2 = -26. Let v be (i/(-4))/((-9)/24). Factor 1/2 + 5/4*r + 3/4*r**v.
(r + 1)*(3*r + 2)/4
Let p(h) be the first derivative of -h**4/4 - h**3 + 9*h**2/2 + 13*h + 6. Let y(z) be the first derivative of p(z). Suppose y(n) = 0. What is n?
-3, 1
Let y = -187 - -143. Let t(j) = -j**2 + j. Let s(n) = 8*n**2 + 24*n - 12. Let v(m) = y*t(m) - 2*s(m). Factor v(d).
4*(d - 3)*(7*d - 2)
Let c(g) be the first derivative of 5*g**4/4 - 10*g**3/3 + 5*g**2/2 - 24. Suppose c(p) = 0. What is p?
0, 1
Let s(d) = -96*d**2 + 32*d - 6. Let o(l) = -29*l**2 + 11*l - 2. Let u(y) = -7*o(y) + 2*s(y). What is h in u(h) = 0?
2/11, 1
Let b(i) be the first derivative of i**3/9 - 7*i**2/6 - 8*i/3 + 160. Suppose b(p) = 0. Calculate p.
-1, 8
Suppose -4*t - 15 + 3 = -4*k, 20 = 2*k + 5*t. Suppose 12 = k*z - z. Factor -5 + 7 + 0*s**2 - 2*s**z - 2*s**2 + 2*s.
-2*(s - 1)*(s + 1)**2
Let l = 395 + -1184/3. Let v(f) be the first derivative of 0*f**3 + 10 - 1/18*f**4 - 4/9*f + l*f**2. Factor v(r).
-2*(r - 1)**2*(r + 2)/9
Let z(l) be the second derivative of l**7/15120 + l**6/4320 - l**5/360 - l**4 + 8*l. Let i(a) be the third derivative of z(a). Let i(t) = 0. What is t?
-2, 1
Let o(k) be the second derivative of 0 + 1/24*k**4 - 3/4*k**2 - 3*k + 1/6*k**3. Suppose o(z) = 0. What is z?
-3, 1
Factor -10/3*l**2 + 3*l**3 + 4/3*l**4 + 0 - l.
l*(l - 1)*(l + 3)*(4*l + 1)/3
Suppose 6*w - 10*w - 3*b = -12, -2*w + 4*b = -6. Let z be 14/(-7) - 9/(-4). Factor -1/2*s - z + 3/4*s**2 - s**4 + s**w.
-(s - 1)**2*(2*s + 1)**2/4
Let i(k) be the third derivative of 0 + 1/420*k**7 - 1/120*k**5 + 1/48*k**4 + 0*k - 1/240*k**6 + 8*k**2 + 0*k**3. Factor i(m).
m*(m - 1)**2*(m + 1)/2
Let t(k) be the second derivative of k**4/36 + 14*k**3/9 - 10*k**2 - 98*k. Factor t(i).
(i - 2)*(i + 30)/3
Let x(y) = -2*y**2 - 4*y - 2. Let m be x(-3). Let l = 19 + m. Let 45*n**3 - 10*n**2 + 12*n - l*n**2 - 12*n**4 - 24*n - 15*n**2 = 0. Calculate n.
-1/4, 0, 2
Let c(d) be the third derivative of d**7/630 + 11*d**6/180 + 41*d**5/180 + 5*d**4/18 - 13*d**2 - 15. Solve c(j) = 0.
-20, -1, 0
Let 1114*u**2 + 8*u - 1109*u**2 + 34*u + 23*u = 0. Calculate u.
-13, 0
Let d = 697 - 498. Let v = -991/5 + d. Factor 0*a**2 + 0*a - 8/5*a**3 + v*a**4 + 0.
4*a**3*(a - 2)/5
Determine v so that 2/21*v**4 + 10/21*v**3 + 0*v + 0 + 2/7*v**2 - 2/21*v**5 = 0.
-1, 0, 3
Let r(x) = -2*x**3 - 9*x**2 + 8*x + 17. Let a be r(-8). Let o = 1613/4 - a. Find g, given that -3/4*g + 0 - 3/2*g**2 + o*g**3 = 0.
-1/3, 0, 1
Let x(d) be the third derivative of 1/70*d**7 + 8*d**2 + 1/20*d**5 - 3/40*d**6 + 0 + 0*d - d**3 + 3/8*d**4. Factor x(k).
3*(k - 2)*(k - 1)**2*(k + 1)
Let a(u) be the third derivative of -u**5/90 - 7*u**4/2 - 125*u**3/9 + u**2 + 3. Let a(c) = 0. What is c?
-125, -1
Suppose 0 = 4*l - 44 + 36. Let 6/17*p**3 + 4/17*p**l - 4/17 - 6/17*p = 0. Calculate p.
-1, -2/3, 1
Let h = -472 - -477. Let b(s) be the third derivative of -5*s**2 + 0 + 1/33*s**3 - 1/660*s**6 + 0*s + 1/132*s**4 - 1/330*s**h. Factor b(i).
-2*(i - 1)*(i + 1)**2/11
Suppose 5*u = -5*u - 720. Let k = 72 + u. Suppose 0*h + 1/3*h**2 + k - 1/3*h**3 = 0. What is h?
0, 1
Let a be 10/(-20) - 1/(-2). Let i(o) be the second derivative of a + 0*o**2 - 1/54*o**4 - o - 1/90*o**5 + 0*o**3. Find j, given that i(j) = 0.
-1, 0
Let h be 3 - 1141/273 - (-16)/12. Factor h*d - 2/13*d**3 - 2/13 + 2/13*d**2.
-2*(d - 1)**2*(d + 1)/13
Suppose 230 + 254*t + 27*t**3 - 2*t**3 - 54*t - 158 - 212 + 365*t**2 = 0. What is t?
-14, -1, 2/5
Let q(t) be the first derivative of -1/45*t**6 - 4/15*t**3 + 0*t + 1/3*t**2 - 2/15*t**4 + 4/25*t**5 + 18. Determine r, given that q(r) = 0.
-1, 0, 1, 5
Suppose -69*j = -1175 + 1037. Factor -1/4 + 1/2*y**j + 0*y**3 - 1/4*y**4 + 0*y.
-(y - 1)**2*(y + 1)**2/4
Let d be ((-3)/12)/(6/4 + (15 - 18)). Solve 1/6*o**4 + d - 4/3*o**3 - 1/3*o**2 + 2/3*o**5 + 2/3*o = 0 for o.
-1, -1/4, 1
Let m(p) = -p**5 - 3*p**4 - 3*p**3 + 7*p**2 - 4. Let z(u) = -3*u**5 - 9*u**4 - 11*u**3 + 21*u**2 - 12. Let w(d) = 21*m(d) - 6*z(d). Let w(r) = 0. What is r?
-2, -1, 1
Let n(z) be the first derivative of z**3/24 - 5*z**2/4 - 203. Find c such that n(c) = 0.
0, 20
Factor 2/5*r**2 - 18/5*r + 16/5.
2*(r - 8)*(r - 1)/5
Let t be (-14 - -16)*(-10)/(-4). Let m(g) be the first derivative of -t + 7/4*g**4 + 0*g + g**2 + 3*g**3. Factor m(a).
a*(a + 1)*(7*a + 2)
Let w be (9/6)/((-18)/(-48)). Find d, given that -d**2 + 10*d - 20*d**w - 20*d**3 + 21*d**2 + 12*d**5 + 0*d**3 - 2*d = 0.
-1, -1/3, 0, 1, 2
Let z be 2967/344 + (-1 - (-54)/48). Factor z*r + 45/4*r**2 + 5/2 + 5/4*r**4 + 25/4*r**3.
5*(r + 1)**3*(r + 2)/4
Let c be (-10)/(-4)*(-20)/2750*-10. Solve 8/11*a**2 - 8/11*a - 2/11*a**4 + 0 + c*a**3 = 0 for a.
-2, 0, 1, 2
Suppose 0 = z - 3*s + 15, z - 2*z + 5 = s. Let q be 2331/9990 + (-2)/(-12). Find m, given that -q*m**2 + z + 4/5*m = 0.
0, 2
Let v(a) be the first derivative of a**6/1440 + a**5/48 + 25*a**4/96 + 8*a**3 - 29. Let l(x) be the third derivative of v(x). Factor l(i).
(i + 5)**2/4
Let w(b) be the second derivative of b**7/210 - 2*b**6/75 - 3*b**5/25 + 8*b**4/15 + 32*b**3/15 - 14*b + 1. Solve w(c) = 0.
-2, 0, 4
Let k(g) = -6*g**2 + 5*g**2 - g**3 - g**2 + g**2. Let h(j) = 7*j**3 + 6*j**2 - j. Let f be (-18)/4*12/(-9). Let c(y) = f*k(y) + h(y). Factor c(r).
r*(r - 1)*(r + 1)
Let o(a) be the third derivative of 0*a**3 + 28*a**2 + 0*a + 1/30*a**5 + 1/18*a**4 + 0. Factor o(y).
2*y*(3*y + 2)/3
Suppose -2/7*y**4 - 24/7 + 26/7*y**2 - 16/7*y - 2/7*y**5 + 18/7*y**3 = 0. Calculate y.
-2, -1, 1, 3
Let z = 6/47 - 176/2115. Let m(w) be the first derivative of 0*w - z*w**3 + 5 + 1/30*w**4 + 0*w**2. Factor m(k).
2*k**2*(k - 1)/15
Let c(a) be the first derivative of 40*a**2 - 58 - 19/3*a**3 + 100*a + 1/4*a**4. What is p in c(p) = 0?
-1, 10
Let j(i) be the second derivative of -7*i**5/10 + 7*i**4/6 + 4*i**3/21 - 4*i**2/7 + 6*i - 1. Determine d, given that j(d) = 0.
-2/7,