r) be the first derivative of r**8/2520 - r**6/540 - 20*r**3/3 + 17. Let l(i) be the third derivative of k(i). Let l(z) = 0. What is z?
-1, 0, 1
Let y(x) = x**2 - 5*x - 4. Let a be y(6). Suppose -4*b + 5*u = 8, -b - a*b + 17 = 2*u. Factor w**b - 3*w**2 + 0*w**2 + 2*w**3.
3*w**2*(w - 1)
Let y(v) be the third derivative of v**6/300 + v**5/300 + 468*v**2. Solve y(m) = 0 for m.
-1/2, 0
Let b(s) be the first derivative of -3*s**5/5 + s**3 + 302. Let b(c) = 0. Calculate c.
-1, 0, 1
Let x = 2/2453 - -2443/12265. Let -x*u - 3/10 + 1/10*u**2 = 0. What is u?
-1, 3
Let w be ((-143)/33*2 + 9)*0. Factor 2/9*t + w - 2/3*t**2 + 2/3*t**3 - 2/9*t**4.
-2*t*(t - 1)**3/9
Factor -41*m - 224 + 12*m**2 - 2*m**2 - 4*m**2 - 179*m - 2*m**2.
4*(m - 56)*(m + 1)
Let b = -2425 + 2433. Factor 2*j**3 - b*j + 0*j**2 + 8 - 1/2*j**4.
-(j - 2)**3*(j + 2)/2
Let j(k) be the first derivative of -2*k**6/3 - 8*k**5/5 - 288. Let j(w) = 0. What is w?
-2, 0
Let w(j) be the third derivative of j**7/840 - 3*j**6/80 + 3*j**5/20 + 209*j**4/48 + 121*j**3/8 - 31*j**2 + j. Let w(g) = 0. Calculate g.
-3, -1, 11
Determine k so that 3*k**2 - 14*k + 18*k + 4*k**2 - 2*k**2 + 25 + 26*k = 0.
-5, -1
Suppose 0*x = 3*x, -4*a = -4*x - 96. Suppose 0 = 27*l - a*l - 6. Let 0*m**l - 2/7*m**5 + 2/7*m**4 + 0*m + 0 + 0*m**3 = 0. Calculate m.
0, 1
Factor -3/7*a + 4/7 - 1/7*a**2.
-(a - 1)*(a + 4)/7
Let j be 0/(-150) + 5*1. Let n(l) be the first derivative of -7/12*l**3 + 0*l - 1/24*l**6 - 1/4*l**j - 9/16*l**4 - 1/4*l**2 + 8. Factor n(q).
-q*(q + 1)**3*(q + 2)/4
Let w(k) = -6*k**3 + 2*k**2 - k. Let r be w(1). Let p = r + 5. Factor -4/3*x**4 + p - 2/3*x**5 + 0*x**2 + 0*x - 2/3*x**3.
-2*x**3*(x + 1)**2/3
Let u(h) be the second derivative of -h**7/168 + h**5/20 + h**4/24 - h**3/8 - h**2/4 + 6*h. Find s, given that u(s) = 0.
-1, 1, 2
Factor 82/3 - 13*h - 1/3*h**2.
-(h - 2)*(h + 41)/3
Factor -1/7*c**3 - c + 0 + 8/7*c**2.
-c*(c - 7)*(c - 1)/7
Factor 5/2*p**2 + 0 + 1/2*p**3 - 3*p.
p*(p - 1)*(p + 6)/2
Let k(o) = 5*o**4 - 45*o**3 - 55*o**2 + 35*o + 55. Let w(n) = 2*n**4 - 23*n**3 - 27*n**2 + 17*n + 28. Let t(m) = 3*k(m) - 5*w(m). Factor t(a).
5*(a - 5)*(a - 1)*(a + 1)**2
Let t(f) = -2*f**2 + 55*f + 16. Let k be t(28). Let s be (k/(-28))/((-9)/(-48)). Determine n so that 2/7*n**2 + 32/7 + s*n = 0.
-4
Let y = 5311 + -5311. Determine w, given that y + 15/2*w + 10*w**2 + 5/2*w**3 = 0.
-3, -1, 0
Let v(m) = -m**2 + 4*m - 3. Let h be v(3). Suppose 12 = -h*n + 3*n. Solve -50*s**4 - 34*s**n + 4*s**4 - 40*s**2 + 5*s + 27*s**3 + 73*s**3 = 0.
0, 1/4, 1/2
Suppose 4*d + 16 = 2*k, -3*k + 37 = -5*d + 17. Let k*h**2 + 1/2*h - 1/2*h**3 + 0 = 0. Calculate h.
-1, 0, 1
Let g(y) be the first derivative of -y**5/10 + y**4/8 + 7*y**3/6 - 13*y**2/4 + 3*y + 77. Suppose g(u) = 0. What is u?
-3, 1, 2
Suppose -v = -0*v. Factor -2*u**2 - 8*u - 8*u**3 - 18*u**2 + 0 + v.
-4*u*(u + 2)*(2*u + 1)
Factor 17*v + 37/4*v**2 - 3/4*v**3 + 7.
-(v - 14)*(v + 1)*(3*v + 2)/4
Determine y, given that 45*y + 3*y**3 - 4*y**3 - 61*y + 8*y**2 = 0.
0, 4
Let y be (3/6 - 1)*(-3 + -1). Suppose -1588 + 4*g**3 - 4*g**y + 1588 = 0. Calculate g.
0, 1
Let m(v) = v**3 + 10*v**2 + 8*v + 211. Let y be m(-11). Suppose 4/5*j**y - 48/5*j + 144/5 = 0. What is j?
6
Suppose -4*s + 4*h + 16 = -4, -3*h - 6 = 0. Let u be (-15 - s)*(12/(-45))/2. Factor 18/5 + u*j + 2/5*j**2.
2*(j + 3)**2/5
Let d be 1*(-14 - -9) - -7. Let p(w) be the second derivative of 4/21*w**3 + 6/7*w**d - 4*w + 0 - 1/21*w**4. Determine q so that p(q) = 0.
-1, 3
Let -23 + 8 + 10*b - 16 + 22*b - b**2 = 0. What is b?
1, 31
Let t(m) = 16*m**3 + 18*m**2 + 18*m + 6. Let u(v) = 5*v**3 + 6*v**2 + 6*v + 2. Let b = 4 - 1. Let i(n) = b*t(n) - 10*u(n). Factor i(g).
-2*(g + 1)**3
Let b(d) be the third derivative of d**6/360 - 7*d**5/90 + 49*d**4/72 + 2*d**2 + 65. Find f, given that b(f) = 0.
0, 7
Find l such that -386*l**3 + 33*l**4 - 288*l + 800*l**2 - l**5 + 19*l**4 - l**5 - 154*l**2 - 22*l**2 = 0.
0, 1, 12
Let o(n) = n**2 + 601*n - 1808. Let a be o(3). Factor -16/3*s - 56*s**3 + 0 - 49/3*s**a + 36*s**2.
-s*(s + 4)*(7*s - 2)**2/3
Let q = 17 - 27. Let r = 15 + q. Factor 3*k**3 - k + k - r*k**2 + 2*k**2.
3*k**2*(k - 1)
Let s(j) be the first derivative of -32/3*j + 1 - 2/3*j**3 + 4*j**2 + 1/24*j**4. Solve s(u) = 0 for u.
4
Let o = 644 - 642. Let s(z) be the first derivative of -o + z**2 + 4/3*z + 0*z**3 - 1/6*z**4. Factor s(q).
-2*(q - 2)*(q + 1)**2/3
Let s = 518 + -515. Let w(h) be the second derivative of 0 + 0*h**2 - 1/6*h**4 + 5/42*h**7 - 2/5*h**6 + h + 9/20*h**5 + 0*h**s. Find g such that w(g) = 0.
0, 2/5, 1
Let j(r) = -39*r - 24. Let q be j(-7). Let u = q - 2737/11. Factor -4/11*n**4 + 0 + 0*n**2 - 6/11*n**3 + u*n.
-2*n*(n + 1)**2*(2*n - 1)/11
Let d(m) be the second derivative of m**7/21 - m**5/5 + m**3/3 - 43*m - 3. Factor d(k).
2*k*(k - 1)**2*(k + 1)**2
Let j be (-21)/(-81)*6*(1 - 0/3). Solve 52/9*w**3 + j*w**4 + 6*w**2 - 8/9 + 8/9*w = 0.
-2, -1, 2/7
Let k(m) = 2*m - 15. Let o be k(10). Suppose 5*q + 2*t - o*t = -3, -t + 1 = q. Let 2/5*y - 2/5*y**3 + 2/5*y**2 - 2/5*y**4 + q = 0. What is y?
-1, 0, 1
Factor 0*k + 2/23*k**4 - 4/23*k**2 + 0 + 2/23*k**3.
2*k**2*(k - 1)*(k + 2)/23
Let c(t) be the second derivative of 3*t**5/100 + 9*t**4/20 - 21*t**3/10 + 33*t**2/10 - 50*t + 1. Factor c(p).
3*(p - 1)**2*(p + 11)/5
Let m = -269 + 271. Let l(n) be the second derivative of -4/3*n**3 + 0 - 5*n + 1/6*n**4 + 3*n**m. Factor l(f).
2*(f - 3)*(f - 1)
Let x be (-6)/135*(11 + -12). Let v(s) be the first derivative of x*s**5 + 5/18*s**4 + 7/9*s**2 + 4/9*s + 3 + 2/3*s**3. Factor v(z).
2*(z + 1)**3*(z + 2)/9
Let g be 48/30 - (-19)/(-15). Factor 4/3 + 8/3*h - 5/3*h**3 - 1/3*h**4 + g*h**2 + 1/3*h**5.
(h - 2)**2*(h + 1)**3/3
Let u(r) be the second derivative of 3*r**5/20 + 7*r**4/4 + 3*r**3 - 76*r. Find c, given that u(c) = 0.
-6, -1, 0
Let y = 2569 - 28255/11. Factor -2/11*g**2 + 0 - 2/11*g**3 + y*g.
-2*g*(g - 1)*(g + 2)/11
Let j(d) be the second derivative of 2/15*d**3 - 1/5*d**2 + 4*d + 1/10*d**4 + 0. Solve j(z) = 0.
-1, 1/3
Let q(x) be the second derivative of x**7/210 - x**6/75 + x**4/30 - x**3/30 + x + 32. Factor q(z).
z*(z - 1)**3*(z + 1)/5
Suppose -7*m = 18 - 4. Let p(d) = d**3 - d**2 - 1. Let v(y) = -127*y**3 + 152*y**2 + 180*y + 42. Let b(z) = m*p(z) - v(z). Solve b(f) = 0 for f.
-2/5, 2
Let a(s) be the third derivative of s**5/100 + 7*s**4/40 - 22*s**3/5 - 126*s**2. Factor a(x).
3*(x - 4)*(x + 11)/5
Let y(b) be the first derivative of -b**4/4 + b**3/3 + 3*b**2 + 85. Suppose y(l) = 0. What is l?
-2, 0, 3
Let p(v) be the third derivative of -1/105*v**5 + 0*v + 0*v**3 + 0 - 1/84*v**4 - 1/420*v**6 + 4*v**2. Factor p(o).
-2*o*(o + 1)**2/7
Let n(j) be the second derivative of -j**4/42 + 116*j**3/21 - 3364*j**2/7 - 250*j. What is q in n(q) = 0?
58
Suppose -2*k = -5*k - 4*b + 58, 5*b = -5*k + 100. Solve 9*g**2 + 12 - 9*g**2 - k*g + 5*g**3 + 12*g**2 - 7*g**3 = 0.
1, 2, 3
Let u(f) be the third derivative of -f**8/112 + 2*f**7/35 - f**6/10 - f**5/10 + 5*f**4/8 - f**3 + 19*f**2. Factor u(o).
-3*(o - 2)*(o - 1)**3*(o + 1)
Let g = -32 - -34. Let a be (-1)/(5/(-2) - 21/14). Find j such that -3/2*j - a - 3*j**g - 2*j**3 = 0.
-1/2
Let d be 0 - 2 - -29*212/28. Let x = -217 + d. Solve -x*l**3 - 16/7 - 32/7*l - 20/7*l**2 = 0 for l.
-2, -1
Suppose -14*v - 292 = -348. Factor -1/8*i**2 + 3/8*i**3 + 0 - 3/8*i + 1/8*i**v.
i*(i - 1)*(i + 1)*(i + 3)/8
Let m = -2/6917 - -6921/13834. Factor 1/2*w + m*w**5 + 3*w**3 + 2*w**2 + 0 + 2*w**4.
w*(w + 1)**4/2
Let m(n) be the first derivative of 1/30*n**4 + 6*n - 1/15*n**3 + 6 - 2/5*n**2. Let l(q) be the first derivative of m(q). Factor l(t).
2*(t - 2)*(t + 1)/5
Let z(b) be the third derivative of -b**8/5880 + b**7/588 - b**6/210 - b**5/105 - 25*b**4/24 + 6*b**2. Let w(d) be the second derivative of z(d). Factor w(h).
-2*(h - 2)**2*(4*h + 1)/7
Let m = 5 - 1. Factor 0*w**5 - 14*w**4 - 22*w**4 - 5*w**5 + 51*w**m.
-5*w**4*(w - 3)
Let l = -195/191 + 3267/955. Find o such that -108/5*o - 2/5*o**4 + 162/5 + 0*o**2 + l*o**3 = 0.
-3, 3
Let f(w) be the first derivative of -8/51*w**3 + 3/34*w**4 + 0*w**2 + 11 + 2/85*w**5 + 0*w. Suppose f(b) = 0. What is b?
-4, 0, 1
Factor -3/7*c**2 - 24/7*c + 27/7.
-3*(c - 1)*(c + 9)/7
Let v(n) = -2*n**3 - 3*n**2 + n. Let u be v(-2). Find x such that 1/2*x**u - x + 0 = 0.
0, 2
Let s(p) = -1. Let t(l) =