 3)/3
Let o be (((-3)/(-4))/3)/((-30)/(-60)). Determine a so that -1/2*a + o*a**2 + 0 = 0.
0, 1
Let n(o) be the second derivative of -4/35*o**6 - 3/70*o**5 + 0*o**3 + 0*o**2 + 0 + 1/21*o**4 - o - 1/21*o**7. Find w such that n(w) = 0.
-1, 0, 2/7
Factor -6 + 6*k - 13*k**2 + 3*k + 10*k**2.
-3*(k - 2)*(k - 1)
Let u(x) be the third derivative of x**5/15 - x**4 + 6*x**3 - x**2. Factor u(m).
4*(m - 3)**2
Let n(p) = -6*p**2 - 4*p + 9. Let i(s) = -8*s**2 + 1 - s + 4*s**2 + 3*s**2. Let y(h) = 14*i(h) - 2*n(h). Factor y(k).
-2*(k + 1)*(k + 2)
Let a(w) = 12*w**2 + 16*w - 16. Let z(i) = -i**2. Let c(s) = a(s) + 16*z(s). Let c(o) = 0. Calculate o.
2
Suppose -2*b + 5*f + 28 = 0, -f - 9 = -5*b + 15. Suppose 6*w**3 - 2*w**3 - b*w + 2 + 5*w**4 - 7*w**4 = 0. What is w?
-1, 1
Let d(x) be the first derivative of -3 - 1/6*x**6 + 2/3*x**3 + 2*x - x**4 + 5/2*x**2 - 4/5*x**5. Factor d(s).
-(s - 1)*(s + 1)**3*(s + 2)
Solve 2*j**2 + 3*j**5 - j**3 - j**2 - 4*j**4 + 3*j**4 - 2*j**5 = 0.
-1, 0, 1
Let s(l) be the first derivative of -l**3/6 - l**2/4 + 16. Find p, given that s(p) = 0.
-1, 0
Let t(g) be the first derivative of 1/14*g**4 + 8/21*g**3 + 1 + 0*g + 4/7*g**2. Let t(l) = 0. What is l?
-2, 0
Let t(l) be the first derivative of 2*l**3/15 + l**2/5 - 4*l/5 + 4. Suppose t(b) = 0. Calculate b.
-2, 1
Let r be ((-4)/5)/(4/(-30)). Let c = r - 6. Let l + l**4 - 3 - 2*l**3 + 2 + c*l + l = 0. What is l?
-1, 1
Let m(d) = d - 8. Let t be m(5). Let g(q) = q**2 + q + 2. Let k be g(t). Solve k*l + 1 + 4 - 12*l**2 - 7 - 2*l**4 + 8*l**3 = 0 for l.
1
Let b(p) be the third derivative of 0*p + 0 + 1/24*p**4 + 7*p**2 - 1/9*p**3 + 7/180*p**5 - 1/120*p**6 - 1/126*p**7. Find i, given that b(i) = 0.
-1, 2/5, 1
Let v(q) = 9*q**4 + 13*q**3 + 13*q**2 - 13*q + 11. Let z(g) = -g**4 - g**3 - g**2 + g - 1. Let r(w) = 2*v(w) + 22*z(w). Suppose r(c) = 0. What is c?
-1, 0, 1
Solve -56 - 6*n**2 - 2*n**4 + 4*n**4 + 4*n + 56 = 0 for n.
-2, 0, 1
Factor 0 + 4/7*z**2 + 0*z + 6/7*z**3.
2*z**2*(3*z + 2)/7
Suppose -5*p + d + 140 = 0, -2*p = -5*d - 23 - 33. Suppose 3*f + 4*s = 21 + 7, -5*s = 2*f - p. Suppose 0*r - r**f + 2*r + 3 - 2*r**3 - 2 = 0. Calculate r.
-1, 1
Let g be 6/33 - 80/(-44). Factor 4*a**2 + 2*a**3 + g*a + 19 - 19.
2*a*(a + 1)**2
Find i, given that 2/11*i**2 + 4/11*i + 2/11 = 0.
-1
Let k(i) be the second derivative of i**6/180 - i**5/60 + i**4/72 - 11*i. Suppose k(t) = 0. Calculate t.
0, 1
Let i(b) be the second derivative of 5*b**4/12 + 10*b**3/3 + 10*b**2 + 10*b. What is u in i(u) = 0?
-2
Let h = -84387573/175 + 482217. Let z = h - 36/25. Determine y so that z*y**4 + 0 - 8/7*y**5 - 6/7*y**2 - 2/7*y + 10/7*y**3 = 0.
-1, -1/4, 0, 1
Let v be 351/6*52/30. Let m = v - 101. Factor 0*d - m*d**4 + 0*d**3 + 2/5*d**2 + 0.
-2*d**2*(d - 1)*(d + 1)/5
Factor 0*h - 2/3*h**2 + 0 - 1/3*h**3.
-h**2*(h + 2)/3
Determine s so that 0 + 0*s**4 - 6/7*s**3 + 3/7*s + 3/7*s**5 + 0*s**2 = 0.
-1, 0, 1
Let r = -1003 - -5019/5. Determine a, given that 2/5*a**3 - 2/5*a + 4/5*a**2 - r = 0.
-2, -1, 1
Let s(z) be the third derivative of -z**5/210 - z**4/42 + z**3/7 - 11*z**2. Suppose s(l) = 0. Calculate l.
-3, 1
Suppose -h - 2*p = -20, -2*p = -4*h - 7*p + 65. What is o in 2*o + 2*o**2 - h*o + 1 + 5 + 2 = 0?
2
Let d = 345 + -709/2. Let j = -9 - d. Find l, given that -j*l**3 + 0 + l**2 - 1/2*l = 0.
0, 1
Let n be 2/6*(-12)/(-40). Let i = n + 1/10. What is v in -i - 1/5*v**2 + 2/5*v = 0?
1
Let i = 0 - -4. Solve -w + i*w - w - 2*w**3 = 0.
-1, 0, 1
Suppose -2*v + 8 = -0*v. Let w(p) = 4*p**2. Let k(d) = 17*d**2 + d. Let g(q) = v*k(q) - 18*w(q). Factor g(c).
-4*c*(c - 1)
Factor -5*p**5 + 8*p**5 - 6*p**4 + 6*p**2 - 3*p + 0*p.
3*p*(p - 1)**3*(p + 1)
Factor -52*k + 34*k**2 + 64*k**2 + 8 - 4*k.
2*(7*k - 2)**2
Let c(l) be the first derivative of -l**4/8 + 2*l**3/3 + l**2/4 - 2*l - 6. Factor c(j).
-(j - 4)*(j - 1)*(j + 1)/2
Let d(o) be the second derivative of 0 - 1/45*o**6 - 4/3*o**2 - 2*o - 1/15*o**5 + 1/6*o**4 + 4/9*o**3. Let d(y) = 0. Calculate y.
-2, 1
Let g(t) be the third derivative of 3/70*t**7 - 3/40*t**6 + 0 - 1/112*t**8 - 2*t**2 + 0*t**4 + 1/20*t**5 + 0*t + 0*t**3. Solve g(c) = 0.
0, 1
Let s(k) be the second derivative of k**4/36 - k**3/9 + k**2/6 + 10*k. Solve s(l) = 0.
1
Let a(r) be the third derivative of -r**5/270 - 2*r**4/27 - 16*r**3/27 + 9*r**2. Solve a(j) = 0.
-4
Factor -8/17 - 152/17*g - 722/17*g**2.
-2*(19*g + 2)**2/17
Let a = -1 + 2. Let i(h) = 18*h**3 + 20*h**2 + 10*h - 4. Let f(l) = l**3 + l**2 + l. Let m(u) = a*i(u) - 12*f(u). What is g in m(g) = 0?
-1, 2/3
Let n(d) be the first derivative of d**6/12 + 7*d**5/5 + 73*d**4/8 + 86*d**3/3 + 44*d**2 + 32*d + 9. Suppose n(w) = 0. Calculate w.
-4, -1
Let b(k) be the first derivative of k**4/10 - 2*k**3/15 - 2*k**2/5 + 1. Find j such that b(j) = 0.
-1, 0, 2
Factor 0*h + 8/3*h**3 + 0 - 4/3*h**4 - 4/3*h**5 + 0*h**2.
-4*h**3*(h - 1)*(h + 2)/3
Let b(l) = 63*l**3 - 27*l**2 - 39*l + 33. Let a(p) = 31*p**3 - 13*p**2 - 20*p + 16. Let x(m) = -9*a(m) + 4*b(m). Suppose x(i) = 0. Calculate i.
-1, 2/3
Let q(b) be the third derivative of 2*b**7/105 - b**6/100 - 29*b**5/150 + b**4/2 - 8*b**3/15 + 4*b**2 + 8*b. Let q(z) = 0. What is z?
-2, 1/2, 4/5, 1
Let h(j) be the first derivative of j**6/12 + 7*j**5/10 + 5*j**4/4 - 3*j**3 - 27*j**2/4 + 27*j/2 + 16. Find k such that h(k) = 0.
-3, 1
Let i(d) be the first derivative of d**6/2 - 3*d**5/5 - 9*d**4/4 + d**3 + 3*d**2 + 9. Suppose i(u) = 0. Calculate u.
-1, 0, 1, 2
Let t(a) be the second derivative of 0*a**2 - 1/3*a**3 - 1/10*a**5 + 0 - 4*a + 1/3*a**4. Factor t(d).
-2*d*(d - 1)**2
Let c be (-8)/(-6) + 64/96. Solve -8/7*k**3 + 2/7*k**4 + 0 + 10/7*k**c - 4/7*k = 0 for k.
0, 1, 2
Factor 0*c + 0 + 1/2*c**3 + 7*c**2.
c**2*(c + 14)/2
Suppose 2*h + 2*h - 21 = -5*j, 0 = -3*j + 3*h + 18. Let n be ((-24)/20)/((-2)/5). Factor -d**n + 0 + 0*d - 5/4*d**4 - 1/4*d**2 - 1/2*d**j.
-d**2*(d + 1)**2*(2*d + 1)/4
Let h = -5 + 12. Let w be (11 - h)*2/12. Solve 0*b**2 + 1/3*b**4 - 2/3*b + w*b**3 - 1/3 = 0 for b.
-1, 1
Let l be 3/(-2)*2/(-6). Let m(f) be the second derivative of -1/48*f**4 + 0 - 1/6*f**3 - l*f**2 - 2*f. Factor m(s).
-(s + 2)**2/4
Determine l, given that 35*l**4 - 35*l**2 - 2*l**3 - 24*l + 34*l - 15*l**5 + 3*l**3 + 4*l**3 = 0.
-1, 0, 1/3, 1, 2
Let c(g) be the second derivative of -g**6/105 - 3*g**5/35 - 3*g**4/14 - 4*g**3/21 + 15*g. Solve c(d) = 0.
-4, -1, 0
Factor m + 2 + 1 - 2*m - 22*m**2 + m**3 + 19*m**2.
(m - 3)*(m - 1)*(m + 1)
Let g(n) be the third derivative of n**10/15120 + n**9/3780 - n**7/630 - n**6/360 + n**4/6 - n**2. Let w(r) be the second derivative of g(r). Factor w(x).
2*x*(x - 1)*(x + 1)**3
Let z(b) = -b**3 + 5*b**2 + 13*b + 10. Let g be z(7). Factor 19*d**2 - 4*d + 2*d - 17*d**2 + 2*d**g - 2.
2*(d - 1)*(d + 1)**2
Solve 7 - 1 + 33*u**2 - 10*u**4 - 29*u + 2*u - 2*u**4 = 0.
-2, 1/2, 1
Suppose m + 5*j = -3*m - 2, -5*m - 5 = 5*j. Let w(z) = -z - 1. Let o be w(m). Factor o + 2*d**2 - 2*d**2 - 2*d**2.
-2*(d - 1)*(d + 1)
Let p = -779 - -779. Factor 0 + p*a - 2/3*a**2.
-2*a**2/3
Let i(m) = 7*m**4 + 9*m**3 - 7*m**2 - m. Let f(z) = z**4 + z**3 - z**2. Let l(o) = 24*f(o) - 3*i(o). Determine v, given that l(v) = 0.
-1, 0, 1
Let t(j) = -7*j**3 + 7*j - 5. Let s(a) = 1 + 8*a - 2*a**3 - 7 - a**2 - 5*a**3. Let c be ((-70)/(-4))/7*2. Let i(r) = c*s(r) - 6*t(r). Factor i(f).
f*(f - 1)*(7*f + 2)
Let u(z) be the first derivative of -1/3*z**3 + 2 + 1/12*z**4 + 1/2*z**2 - 1/3*z. Factor u(y).
(y - 1)**3/3
Factor -4*f**3 + 4*f - 2 + 2.
-4*f*(f - 1)*(f + 1)
Let o(a) be the third derivative of a**5/90 + a**4/18 + a**3/9 - 8*a**2. Factor o(q).
2*(q + 1)**2/3
Let n(g) be the first derivative of g**4/10 - 2*g**3/15 - 4. Factor n(f).
2*f**2*(f - 1)/5
Let g(p) = -4*p**2 - p. Let c = -8 + 24. Suppose 0 = 6*m - 2*m - c. Let l(f) = 3*f**2 + f. Let k(a) = m*g(a) + 5*l(a). Solve k(i) = 0.
0, 1
Let f = -28 - -12. Let n be (-4)/f + 5/4. Find l, given that -7/2*l - n*l**2 - 1 + 5/2*l**4 + 7/2*l**3 = 0.
-1, -2/5, 1
Let r(a) be the second derivative of a**7/280 - a**6/180 - a**5/40 + a**4/12 - a**3/3 - a. Let s(y) be the second derivative of r(y). Solve s(b) = 0.
-1, 2/3, 1
Suppose -4*s + 4*h + 28 = 0, -s + 2*h + 15 = -h. Factor 0 - 1/6*z**s + 1/6*z + 0*z**2.
-z*(z - 1)*(z + 1)/6
Let k be ((-3)/(-6)*2)/1. Factor -1 - 5*f - 2*f**3 + k + 7*f.
-2*f*(f - 1)*(f + 1)
Let h(i) be t