x) = -4*d(x) - 22*l(x). Factor n(w).
4*w**3
Let b(m) be the first derivative of -2*m**3/21 + 13*m**2/7 - 80*m/7 + 169. Find j, given that b(j) = 0.
5, 8
Let u(r) be the third derivative of 0*r + 2/105*r**7 + 0 - 18*r**2 + 0*r**4 + 0*r**3 + 2/15*r**5 + 1/10*r**6. Let u(s) = 0. Calculate s.
-2, -1, 0
Let t(x) be the third derivative of -x**8/1680 + x**6/360 - 6*x**3 - 22*x**2. Let n(o) be the first derivative of t(o). Let n(f) = 0. What is f?
-1, 0, 1
Let b(h) = 13*h - 208. Let o be b(16). Let q(p) be the first derivative of -2/3*p**6 + o*p - 8/3*p**3 - 4 + 2*p**2 + 8/5*p**5 + 0*p**4. Factor q(r).
-4*r*(r - 1)**3*(r + 1)
Let m(z) = 2*z**2 + 32*z + 26. Let n(c) = 4*c**2 + 34*c + 24. Let r(h) = 6*m(h) - 4*n(h). Factor r(w).
-4*(w - 15)*(w + 1)
What is y in -5*y**4 + 42 - 268*y**3 + 23 + 318*y**3 + 190*y + 180*y**2 = 0?
-1, 13
Let w be 0/(-2)*7/14. Let v be ((-205)/35 + 5)*42/(-12). What is p in 4/9*p**v + w + 2/9*p**2 - 4/9*p - 2/9*p**4 = 0?
-1, 0, 1, 2
Let r(t) = -40*t**2 - 33*t + 6. Let j(g) = 14*g**2 + 11*g - 2. Let x(d) = 11*j(d) + 4*r(d). Solve x(k) = 0 for k.
-2, 1/6
Let r(g) = g**3 - 9*g**2 - 11*g + 12. Let j be r(10). Let a(f) be the first derivative of -1/10*f**5 + 1/2*f**j + 5 + 0*f**3 - 1/4*f**4 + 1/2*f. Factor a(y).
-(y - 1)*(y + 1)**3/2
Let z(j) be the third derivative of -1/17*j**3 - 6*j**2 + 0*j**6 + 0 + 2/51*j**4 + 1/1785*j**7 - 1/85*j**5 + 0*j. Factor z(g).
2*(g - 1)**3*(g + 3)/17
Let k be (-2 - 16/(-6))/((-6)/117). Let d be (3 + k/5)/((-4)/(-15)). Factor -d*g**3 + 15*g**2 - 12 + 6*g - 6*g**4 - 3/2*g**5.
-3*(g - 1)**2*(g + 2)**3/2
Let z(v) = 5*v**2 + 207*v - 239. Let r(d) = 10*d**2 + 415*d - 470. Let g(h) = -3*r(h) + 5*z(h). Factor g(f).
-5*(f - 1)*(f + 43)
Suppose 5*n + 5*q - 30 = 0, -5*q = 76*n - 74*n - 24. Let p(a) be the second derivative of -1/9*a**3 + 0 + 1/30*a**5 + 1/9*a**4 - 2/3*a**n + a. Factor p(x).
2*(x - 1)*(x + 1)*(x + 2)/3
Let d(y) be the second derivative of -1/120*y**6 + 1/6*y**4 + 4/3*y**3 + 1/2*y**2 - 1/30*y**5 + 4*y + 0. Let a(o) be the first derivative of d(o). Factor a(n).
-(n - 2)*(n + 2)**2
Suppose -75*g**2 + 16*g**5 - 15*g**3 - 12*g**5 - 48 + 4*g**5 + 15*g**4 + 120*g - 5*g**5 = 0. What is g?
-4, 1
Let y(l) be the first derivative of -20*l**2 - 20*l - 28 + 95/3*l**3 - 35/4*l**4. Solve y(z) = 0.
-2/7, 1, 2
Let m(v) be the second derivative of -v**4/24 + 13*v**3/12 - 3*v - 64. Determine q so that m(q) = 0.
0, 13
Let i(r) be the first derivative of -r**6/12 - r**5/5 - r**4/8 - 223. Factor i(c).
-c**3*(c + 1)**2/2
Let f(v) = v**3 + 14*v**2 - 70*v - 1073. Let a be f(-13). Find j such that 88/7*j + 2/7*j**3 + 16/7 + 116/7*j**2 - a*j**4 = 0.
-1, -2/3, -2/7, 2
Let b(j) = j**2 - 27*j - 2. Let r be b(27). Let v be (-1)/3 + r/(3 + -5). Find h, given that -v*h + 2/3*h**2 + 0 = 0.
0, 1
Let j = 112 - 90. Suppose 21*l**2 + 3 + 62*l**3 - 25*l**3 + 13*l - j*l**3 + 4*l**4 = 0. What is l?
-1, -3/4
Let h(p) = 2*p**2 + 4*p + 4. Let d be h(-3). Suppose d = 8*f + 2*f. Factor a + 1/4*a**2 + f.
(a + 2)**2/4
Let r(t) = 5*t - 4*t + 394*t**2 + 4*t**4 - 4*t**3 - 389*t**2. Let i(o) = o**4 + o. Let d be (-2)/6 - (-4)/3. Let q(a) = d*r(a) - 3*i(a). Factor q(w).
w*(w - 2)*(w - 1)**2
Suppose 2*p + 2 = -d - 4, -4*d + 28 = -5*p. Suppose 24*g = -f + 28*g - 20, -4*g + 20 = 2*f. Factor -2/9*l**d + f + 0*l - 2/9*l**3.
-2*l**2*(l + 1)/9
Determine z, given that 1 + 3*z**5 + 2540*z**3 + 0*z**5 + 18*z**2 - 2518*z**3 + 13*z**4 + 7*z = 0.
-1, -1/3
Let b(i) = i**2 - 3*i. Let d be b(3). Suppose d = 5*g + h - 0*h, -4*h - 22 = -2*g. Suppose 1 - 1 + 0 - 8*w**2 + 2*w + g = 0. What is w?
-1/4, 1/2
Let r = -9 - -8. Let k(w) = -8*w**4 - 8*w**3 - 2*w**2 + 8*w - 10. Let c(j) = -j**4 - j**3 + j - 1. Let m(g) = r*k(g) + 10*c(g). Factor m(x).
-2*x*(x - 1)*(x + 1)**2
Let t = 5155/6 + -859. Let p(x) be the first derivative of 0*x**2 - 7 + 1/8*x**4 - t*x**3 + 0*x. Determine w, given that p(w) = 0.
0, 1
Suppose -35 = 68*f - 145 - 26. Find t such that 9*t - 1/2*t**f - 81/2 = 0.
9
Let d be 63/6 + 3/2. Factor 6*u**4 - 2*u**4 - d + 16*u - 21*u**2 - 16*u**3 + 29*u**2.
4*(u - 3)*(u - 1)**2*(u + 1)
Let b be (-5 - (-462)/90) + ((-214)/30 - -7). Solve b + 4/7*i + 6/7*i**2 = 0 for i.
-2/3, 0
Let g(k) be the third derivative of -11*k**8/2016 + k**7/140 + 101*k**6/720 + 139*k**5/360 + 11*k**4/24 + 2*k**3/9 - 175*k**2. Find m, given that g(m) = 0.
-1, -2/11, 4
Let t be (-7 - (-51)/7)/((-112)/(-1764)). Determine f, given that 1 - 25/2*f**3 - 21/2*f**2 - t*f**4 - 3/2*f = 0.
-1, 2/9
Let f = 78 + -76. Suppose -4*k - 37 = -5*s, 4*k = f*s - 0 - 22. Factor 0*g + 0*g**2 + 0 + 1/4*g**s - 1/2*g**3 + 1/4*g**4.
g**3*(g - 1)*(g + 2)/4
Suppose 4*t + 17 - 29 = 0. Factor -14*a**2 - t*a - 23*a**3 + 2*a**3 + a - 9*a**3 - 18*a**4.
-2*a*(a + 1)*(3*a + 1)**2
Let l be (-20)/6*30/(-50). Factor -3*y**l - 2*y**2 + 7*y**2.
2*y**2
Suppose 0 = 8*d - 32*d + 96. Let o(q) be the first derivative of 4/9*q**3 - 16/9*q - 4/9*q**2 + 5/18*q**4 + 2/45*q**5 - d. Factor o(l).
2*(l - 1)*(l + 2)**3/9
Let c = -3394 - -16972/5. Find a, given that -c - 2*a**5 + 4/5*a**2 - 2*a - 2/5*a**4 + 4*a**3 = 0.
-1, -1/5, 1
Let c(z) be the first derivative of -15/11*z**2 + 9 - 8/11*z**3 + 3/22*z**4 + 0*z. Suppose c(d) = 0. Calculate d.
-1, 0, 5
Let o(q) be the third derivative of 2*q**7/105 - 13*q**6/30 + 4*q**5/5 - 417*q**2 - 1. Find t such that o(t) = 0.
0, 1, 12
Let p(g) be the third derivative of g**2 + 0*g**3 - 1/3*g**4 + 2/15*g**5 - 1/60*g**6 + 0*g + 0. Let p(h) = 0. What is h?
0, 2
Suppose 27/5*j**2 + 21/5 + 3/5*j**3 + 9*j = 0. Calculate j.
-7, -1
Suppose 5*q - 2*z = 13, 13 = -4*q + q - 4*z. Suppose -5*v - q = u + 3, u + v = 0. Factor -j - 2*j**2 - u + j**3 + j**4 + 2 - j**5 + j**3.
-(j - 1)**3*(j + 1)**2
Suppose 0 = -2*g + 5*s + 6, g - s - 1 = 2. Suppose 36*f**g - 2*f**5 - 11*f**4 - 7*f**4 + 5*f**5 - 24*f**2 + 0*f**4 = 0. What is f?
0, 2
Let r = 898 - 3629/4. Let w = r + 10. Solve 0*f**4 - 1/2 + 1/2*f**2 + f**3 - w*f - 1/4*f**5 = 0.
-1, 1, 2
Let p = -117 - -120. Let v(y) = 17*y**3 - 2*y**2 + y. Let h be v(1). Solve -h - 2*l + 4*l**2 + 2*l**p - 6*l + 0*l = 0 for l.
-2, 2
Let w(v) = -v**3 + 15*v**2 + 45*v + 29. Let p(y) = 2*y**3 - 15*y**2 - 45*y - 28. Let a(z) = 4*p(z) + 3*w(z). Suppose a(g) = 0. Calculate g.
-1, 5
Let c(m) be the first derivative of -m**6/40 + 3*m**5/20 + 15*m**2/2 + 21. Let t(h) be the second derivative of c(h). Factor t(a).
-3*a**2*(a - 3)
Let p be (-78)/260 + 45/50. Solve 0 + p*n**2 + 0*n = 0.
0
Let w(j) = -13*j**3 + 233*j**2 + 88*j - 158. Let h(c) = -90*c**3 + 1630*c**2 + 615*c - 1105. Let l(g) = -2*h(g) + 15*w(g). Solve l(b) = 0.
-1, 2/3, 16
Let u = 1/105 - -1567/840. Factor 3/8*t**3 + 1/2 - u*t + t**2.
(t - 1)*(t + 4)*(3*t - 1)/8
Let l(v) be the third derivative of -v**6/320 - 19*v**5/160 + 11*v**4/8 - 23*v**3/4 + 4*v**2 + 43. Find x, given that l(x) = 0.
-23, 2
Let w(l) be the first derivative of -l**6/630 + 3*l**5/280 - l**4/84 - 2*l**3/3 - 3. Let n(c) be the third derivative of w(c). Let n(y) = 0. What is y?
1/4, 2
Let x(m) be the first derivative of m**3/9 + 6*m**2 + 108*m - 33. Factor x(s).
(s + 18)**2/3
Let z = -1818 + 1818. Let u = -11 + 13. Factor z + 3/7*f**u + 6/7*f.
3*f*(f + 2)/7
Let o = -23 + 21. Let p be (3/4)/(o/(-8)). Factor -1/2*q + 0 - q**2 - 1/2*q**p.
-q*(q + 1)**2/2
Let l(r) be the third derivative of r**8/1848 + 2*r**7/385 - 9*r**5/55 - 27*r**4/44 + 372*r**2. Factor l(x).
2*x*(x - 3)*(x + 3)**3/11
Suppose -3*y + 103 = -464. Let s = y + -189. Factor 4/7*t**4 - 32/7*t - 24/7*t**2 - 12/7 + s*t**3.
4*(t - 3)*(t + 1)**3/7
Determine s, given that 12*s**3 + 152*s**3 + 135 + 55*s**4 + 420*s**2 + 30*s**2 + 138*s**3 + 405*s + 5*s**5 - 72*s**3 = 0.
-3, -1
Let o(k) be the first derivative of -k**6/10 + 3*k**5/5 - k**4 + 4*k + 2. Let l(g) be the first derivative of o(g). Factor l(q).
-3*q**2*(q - 2)**2
Let k(z) be the first derivative of -2*z**6/15 + z**4/3 - 4*z + 16. Let u(s) be the first derivative of k(s). Let u(l) = 0. Calculate l.
-1, 0, 1
Determine c, given that -48*c**2 + 8 - 172*c - 9*c**3 + 13*c**3 - 128 = 0.
-2, -1, 15
Let g(x) be the third derivative of -x**7/840 - x**6/120 - x**5/40 - 7*x**4/24 - 8*x**2. Let p(a) be the second derivative of g(a). Factor p(b).
-3*(b + 1)**2
Let b be 26/7 + (-204)/21 + 10. Let a(c) be the first derivative of 1/22*c**b + 2/11*c - 1/11*c**2 - 2 - 2/33*c*