e third derivative of 0 - k**2 + 0*k + 3/280*k**7 + 1/32*k**4 - 1/160*k**6 + 1/4*k**3 - 1/16*k**s. Let v(l) = 0. What is l?
-1, -2/3, 1
Suppose 22*s = 24*s - 4. Factor -9*q**2 - q**2 + 7*q**s + 0*q - 3*q.
-3*q*(q + 1)
Let c = -49 - -57. Let l(n) be the third derivative of -1/15*n**5 + 0*n**3 + 0 + 1/12*n**6 + 1/168*n**c + 2*n**2 + 0*n + 0*n**4 - 4/105*n**7. Factor l(r).
2*r**2*(r - 2)*(r - 1)**2
Let d(h) be the second derivative of -h**5/110 - 50*h**4/33 - 799*h**3/11 + 5202*h**2/11 + 2*h - 104. Factor d(f).
-2*(f - 2)*(f + 51)**2/11
Let u(z) be the first derivative of 7*z**6/39 - 8*z**5/65 - 5*z**4/13 + 8*z**3/39 + 3*z**2/13 + 78. Let u(a) = 0. What is a?
-1, -3/7, 0, 1
Let j = -1135/12 + 381/4. Let l(z) be the third derivative of -3*z**2 + 1/15*z**5 - j*z**4 + 0 + 8/3*z**3 + 0*z. Factor l(y).
4*(y - 2)**2
Let l be (4/6)/(((-306)/(-81))/17). Solve 0 + 4/5*b + 2/5*b**l + 6/5*b**2 = 0 for b.
-2, -1, 0
Let a be (-32)/(-24)*1/(8/18). Let i be ((3*-2)/(-2) + -2)*a. Factor 2/5*l**2 + 2/5*l**i + 0 + 0*l.
2*l**2*(l + 1)/5
Let c(z) = -2*z**3 + 6*z**2 + z. Suppose -33 = -2*n - 9*n. Let a be c(n). Factor 0*f**2 - 2/5 + 2/5*f**4 + 4/5*f**a - 4/5*f.
2*(f - 1)*(f + 1)**3/5
Let m(d) be the second derivative of d**6/30 - d**5 - 67*d**4/12 - 23*d**3/3 - d - 64. Find g, given that m(g) = 0.
-2, -1, 0, 23
Let r(m) be the first derivative of -m**4/16 - 11*m**3/12 - 15*m**2/8 + 27*m/4 + 185. Find i such that r(i) = 0.
-9, -3, 1
Let d(s) = s + 8. Let w be d(-5). Let u be 2/((-6)/w)*-4. Factor 20*y - u*y**3 - 2*y**2 - 20*y - 2*y**4.
-2*y**2*(y + 1)**2
Let o be -6 + (-132)/(-21) + (-20668)/210. Let j = -98 - o. Suppose j*b**3 + 2/5*b**2 + 4/15*b + 0 = 0. Calculate b.
-2, -1, 0
Let t(d) be the first derivative of -d**5/30 + 2*d**3/9 - 271. Factor t(g).
-g**2*(g - 2)*(g + 2)/6
Let m(h) be the first derivative of 6*h**5/55 + 4*h**4/11 + 2*h**3/33 - 8*h**2/11 - 8*h/11 - 144. Determine r, given that m(r) = 0.
-2, -1, -2/3, 1
Let o be (4 - 4)/15*(4 + (-7)/2). Factor 9/5*m**2 + 0*m + o + 1/5*m**4 + 6/5*m**3.
m**2*(m + 3)**2/5
Let h(s) be the second derivative of s**5/60 - 7*s**4/36 - s**3 - 8*s + 2. Factor h(p).
p*(p - 9)*(p + 2)/3
Let k(j) be the third derivative of j**8/1008 - 5*j**7/126 - 11*j**6/36 - 17*j**5/18 - 115*j**4/72 - 29*j**3/18 + 162*j**2. Factor k(q).
(q - 29)*(q + 1)**4/3
Determine i so that -144/5 - 1/5*i**4 - 97/5*i**2 - 264/5*i + 22/5*i**3 = 0.
-1, 12
Let n(k) be the first derivative of k**3 + 9 - 3/2*k**2 + 0*k. Find l such that n(l) = 0.
0, 1
Let u(t) be the third derivative of -t**10/226800 + t**9/113400 - t**4/4 - 8*t**2. Let j(k) be the second derivative of u(k). Factor j(q).
-2*q**4*(q - 1)/15
Suppose -6 = -14*r + 11*r. Factor 27 + j**r - 10 - 3*j**2 - 9.
-2*(j - 2)*(j + 2)
Let h(f) be the first derivative of -f**5/100 + f**4/5 - 8*f**3/5 - 9*f**2 + 22. Let w(b) be the second derivative of h(b). Let w(a) = 0. What is a?
4
Let r(w) = -w**5 + w**4 + w**2 + 1. Let b(m) = 4*m**5 - 5*m**4 - m**2 - m - 3. Let k(c) = -b(c) - 3*r(c). Let k(q) = 0. What is q?
-1, 0, 1
Determine n, given that -22/3*n**2 - 8/9 - 44/9*n**3 - 40/9*n - 10/9*n**4 = 0.
-2, -1, -2/5
Find y such that 7/4*y - 7/4*y**2 + 15/4 + 1/4*y**3 = 0.
-1, 3, 5
Let w be 16/(-80) - (-8)/40. Let y(o) be the first derivative of -1/12*o**4 + 0*o - 4 + w*o**3 + 1/12*o**2 + 1/36*o**6 + 0*o**5. Find n such that y(n) = 0.
-1, 0, 1
Let j = 86 + -49. What is u in j - 37 - 3*u**2 + 9*u = 0?
0, 3
Solve -13864/3*z**3 + 26800/3*z + 1442/3*z**4 + 4000/3 + 40720/3*z**2 - 49/3*z**5 = 0.
-2/7, 10
Let i be 13 + 1/(-1)*-1. Let d be i/4 - (-3)/2. Factor -2*g + d*g**3 + 0*g**3 - 4*g**3 - 3*g**3 + 4*g**2.
-2*g*(g - 1)**2
Let k(g) be the first derivative of -g**7/252 - g**6/180 - 28*g - 28. Let w(y) be the first derivative of k(y). Factor w(s).
-s**4*(s + 1)/6
Let v(l) be the second derivative of 1/2*l**4 - 3*l - 4/3*l**3 + 4/3*l**2 - 1. Factor v(j).
2*(3*j - 2)**2/3
Let s = 157 + -153. Let o be -3*(-1)/(21/s). Factor -2/7*u**3 + 0 - 2/7*u - o*u**2.
-2*u*(u + 1)**2/7
Suppose -4*j - 8 = -8*j. Suppose -j*l - 5 = -4*i - 1, 0 = 2*l - 3*i + 2. Factor -22*a**2 + 21*a + 4*a**2 + 6*a**3 - 6 + 9*a**3 - 3*a**4 - 9*a**l.
-3*(a - 2)*(a - 1)**3
Let z(x) be the first derivative of x**4/12 - x**3 + 5*x**2/2 - 7*x/3 - 81. Factor z(t).
(t - 7)*(t - 1)**2/3
Let v(j) be the second derivative of -3*j**7 + 13*j**6/5 + 17*j**5/40 - j**4/4 - 2*j - 3. Find h such that v(h) = 0.
-3/14, 0, 1/6, 2/3
Let t(d) be the first derivative of 0*d**2 + 2 - 1/18*d**6 + 1/12*d**4 - 2/15*d**5 + 2/9*d**3 + 0*d. Let t(k) = 0. Calculate k.
-2, -1, 0, 1
Let d(t) be the third derivative of -t**6/140 + 17*t**5/210 - 11*t**4/42 + 8*t**3/21 + 4*t**2 - 57*t. Factor d(w).
-2*(w - 4)*(w - 1)*(3*w - 2)/7
Let 0*m - 2*m**4 + 2/3*m**2 + 0 - 4/3*m**3 = 0. What is m?
-1, 0, 1/3
Suppose -40*h + 45*h - 75 = 0. Suppose -5*u**5 - 44 + 23 + 26 + 10*u**2 - 10*u**3 + h*u - 15*u**4 = 0. What is u?
-1, 1
Let k(y) = y + 14. Let u be k(-13). Let t(l) be the first derivative of -1/10*l**2 + 0*l + 4/15*l**3 - u. Let t(b) = 0. Calculate b.
0, 1/4
Let w be (-315)/(-20) + (-4)/(-16). Let r be -1 - (-68)/w - 3. Suppose 0*u - 1/4*u**5 - r*u**3 + 0*u**2 + 1/2*u**4 + 0 = 0. What is u?
0, 1
Let s be 715/20 + ((-3)/4)/(-3). Factor -3*o**2 + 18*o**3 + 3*o - 89*o**4 - 15*o + 62*o**4 + s*o**2 - 12.
-3*(o - 1)**2*(3*o + 2)**2
Solve -7*w - w**3 + 0*w**2 + w + 3*w**2 + 4*w**3 = 0 for w.
-2, 0, 1
Suppose 3*r + f + f = 16, 5*f = 5*r + 15. Suppose 52*c**2 + 4*c - 4*c**3 + 8 + 55*c**2 - 115*c**r = 0. Calculate c.
-2, -1, 1
Factor 141/5*b - 28 - 1/5*b**2.
-(b - 140)*(b - 1)/5
Solve 52*z**2 - 148*z**3 + 26*z + 144*z**3 + 10*z - 1620 = 0.
-5, 9
Let q(h) be the first derivative of -h**3 - 12*h**2 + 27*h - 386. Factor q(r).
-3*(r - 1)*(r + 9)
Let o(b) be the third derivative of b**6/480 + b**5/40 + 11*b**4/96 + b**3/4 - 16*b**2. Factor o(l).
(l + 1)*(l + 2)*(l + 3)/4
Let b(t) be the second derivative of -t**7/14 + t**6/30 + 9*t**5/20 + t**4/4 - t**3/3 - 20*t + 3. Solve b(d) = 0 for d.
-1, 0, 1/3, 2
Let q(g) = g**4 + 19*g**2 + 32*g + 17. Let a(b) = -2*b**4 - 18*b**2 - 32*b - 18. Let z(y) = 5*a(y) + 6*q(y). Factor z(i).
-4*(i - 3)*(i + 1)**3
Let g be 12 - 24 - -18 - 58/10. Factor i + g*i**5 + 2*i**2 + 1/5 + i**4 + 2*i**3.
(i + 1)**5/5
Suppose -3*l + 4*s + 16 = -l, 5*l = s + 58. Factor 9 + 10 - 16*k**2 + 3*k**3 - l*k + 5 + 10*k**2.
3*(k - 2)**2*(k + 2)
Let i(p) be the third derivative of p**7/525 - 11*p**6/600 + p**5/25 + p**4/120 - 2*p**3/15 + 124*p**2. Factor i(o).
(o - 4)*(o - 1)**2*(2*o + 1)/5
Let z be (-2)/9 - (-1806)/4725. Find w such that -2/25*w**3 - z*w + 0 + 6/25*w**2 = 0.
0, 1, 2
Let n(w) be the first derivative of -4*w**5/15 + 12*w**3 + 36*w**2 - 113. Factor n(s).
-4*s*(s - 6)*(s + 3)**2/3
Let a(f) be the second derivative of -21*f + 0 - 1/40*f**5 + 1/3*f**3 - 1/8*f**4 + 0*f**2. Find z such that a(z) = 0.
-4, 0, 1
Let l(y) be the second derivative of -y**7/2100 + y**6/300 - y**4/15 - y**3/3 - 19*y. Let g(p) be the second derivative of l(p). Solve g(r) = 0.
-1, 2
Let k(u) be the first derivative of 3*u**4/20 + u**3/15 - u**2 + 129. Factor k(l).
l*(l + 2)*(3*l - 5)/5
Let y(f) be the third derivative of f**5/15 + 3*f**4/2 - 140*f**3/3 + 90*f**2. Let y(b) = 0. What is b?
-14, 5
Let f(s) be the second derivative of -s**4/36 + 5*s**3/3 - 75*s**2/2 - 45*s + 2. Determine v so that f(v) = 0.
15
Let p(i) be the second derivative of -25*i + 0*i**3 + 0 - 1/9*i**2 + 1/54*i**4. Factor p(g).
2*(g - 1)*(g + 1)/9
Suppose -3*o + 11 = -2*v, -4*v + 5*v = -4*o + 22. Let f = -34 - -50. Factor 3*i**v - 7*i**2 - 12 + f*i + 0*i**2.
-4*(i - 3)*(i - 1)
Find y such that 3/8*y**2 + 21/8*y - 3 = 0.
-8, 1
Let u(t) be the third derivative of 2/15*t**3 - 37*t**2 + 0*t + 0 + 3/200*t**6 + 7/300*t**5 - 1/6*t**4. Suppose u(w) = 0. Calculate w.
-2, 2/9, 1
Let b(y) be the second derivative of y**10/241920 + y**9/20160 - y**8/7680 + 9*y**4/4 - 40*y. Let v(q) be the third derivative of b(q). Factor v(l).
l**3*(l - 1)*(l + 7)/8
Let m(o) = 2*o + 2*o + 0 + 1 - 3*o. Let x(n) = -n**2 + 5*n. Let y(a) = 6*m(a) - 3*x(a). Find d, given that y(d) = 0.
1, 2
Let p(c) be the first derivative of c**7/420 - c**6/60 + c**4/3 - 2*c**3 - 6. Let g(t) be the third derivative of p(t). Factor g(f).
2*(f - 2)**2*(f + 1)
Let x(n) = 3*n**3 + 2*n**2 + 1. Let v(q