 Let q(d) = 6*k(d) - 5*w(d). Factor q(l).
2*(l - 1)*(5*l + 2)
Let m = -344 + 9289/27. Let v(w) be the third derivative of 1/135*w**7 + 0*w - w**2 + 0 + 0*w**3 + m*w**4 + 1/108*w**6 - 8/135*w**5. Solve v(h) = 0 for h.
-2, 0, 2/7, 1
Let f be 1 + -5 + -9 + (-583)/(-44). Solve 0 + f*z + 5/8*z**2 - 5/8*z**4 - 1/4*z**3 = 0.
-1, -2/5, 0, 1
Let v(x) = 2*x**3 + 6*x**2 - x + 2. Let m be v(-3). Let j(s) be the third derivative of 1/80*s**m - 2*s**2 + 0 - 1/32*s**4 + 0*s + 0*s**3. Factor j(c).
3*c*(c - 1)/4
Let m(s) = -s + 9. Let y be m(5). Let t be 11/14 - 2/y. Factor -t*p + 2/7*p**2 - 2/7 + 2/7*p**3.
2*(p - 1)*(p + 1)**2/7
Let v(w) = 4*w**2 + 4*w + 1. Let c(k) = -3*k**2 - 4*k - 2. Suppose 0 = i + 1 + 2. Let z = -3 - -1. Let y(p) = i*c(p) + z*v(p). Find d, given that y(d) = 0.
-2
Let y be ((-3)/8)/(-1)*12. Let -3 + 3*i**2 + y*i - 9/2*i**3 = 0. Calculate i.
-1, 2/3, 1
Let i = -10 - -6. Let l(x) = -x**2 - 5*x - 1. Let s be l(i). Let s*v**2 + 9*v**4 + 9*v**3 + 6*v**5 + 0*v**5 - 3*v**5 = 0. Calculate v.
-1, 0
Let n be 2*(-2)/4 - -6. Suppose 2 - 12 = -n*i. Let -8/3*t**3 - i*t**2 + 6*t - 4/3 = 0. What is t?
-2, 1/4, 1
Let q(h) = h**3 + 35*h**2 + 36*h + 68. Let b be q(-34). Find a, given that -3/4*a**2 + 1/4*a**3 + b + 0*a = 0.
0, 3
Let k(x) be the first derivative of -2 - 1/16*x**4 - 1/4*x**3 - 1/4*x**2 + 0*x. Find a, given that k(a) = 0.
-2, -1, 0
Suppose 5*s = 9 + 1. Let c(y) be the third derivative of 0*y - 1/60*y**5 + 0 + 1/24*y**4 + 0*y**3 - y**s. Factor c(q).
-q*(q - 1)
Let w(r) be the second derivative of -1/45*r**5 + 1/135*r**6 + 0*r**4 - 5*r + 0 - 1/9*r**2 + 2/27*r**3. Find u, given that w(u) = 0.
-1, 1
Let m(h) be the third derivative of -h**7/840 + h**6/60 - h**5/16 - h**4/12 + 2*h**3/3 - 17*h**2. Solve m(l) = 0 for l.
-1, 1, 4
Let h(x) = x - 5. Let w be h(8). Let j(p) be the first derivative of 0*p**2 + 0*p - 2 + 2/3*p**w. Factor j(c).
2*c**2
Let z be 1 + 1 + 2264/14. Let m = 164 - z. Suppose 6/7*t + 2/7 - 6/7*t**3 - m*t**2 = 0. Calculate t.
-1, -1/3, 1
Solve 2108*n - 27*n**3 - 2108*n - 6*n**2 = 0 for n.
-2/9, 0
Factor 0 - 3/2*j**2 + 1/4*j**3 + 0*j.
j**2*(j - 6)/4
Let y(o) = -o**2 - 4*o - 4*o - 3*o - 21. Suppose 5*a + 2*d + 65 = 0, 3*a + 12 = d - 16. Let j(p) = 2*p + 4. Let w(b) = a*j(b) - 2*y(b). Factor w(c).
2*(c - 1)*(c + 1)
Let 0 - 1/3*b**5 + 1/3*b**3 + 0*b + 1/3*b**4 - 1/3*b**2 = 0. What is b?
-1, 0, 1
Let j(l) be the second derivative of -l + 0 - 1/10*l**3 + 1/20*l**4 + 0*l**2 + 3/100*l**5 - 1/50*l**6. Suppose j(o) = 0. What is o?
-1, 0, 1
Let u(i) = -7*i**2 + 2*i + 9. Let j(m) = -4*m**2 + m + 5. Let g = -16 - -29. Let q = g + -8. Let x(s) = q*j(s) - 3*u(s). Factor x(f).
(f - 2)*(f + 1)
Let m be (14 - 15) + 0 + 4. Let c(y) be the first derivative of 1/2*y**2 + 1/3*y**m + 0*y - 1/4*y**4 - 1/5*y**5 - 2. Factor c(q).
-q*(q - 1)*(q + 1)**2
Let x(b) be the first derivative of -b**3/12 + b**2/8 + 1. Factor x(o).
-o*(o - 1)/4
Let v(n) be the second derivative of n**7/168 + n**6/20 - 7*n**5/80 - 32*n. Factor v(w).
w**3*(w - 1)*(w + 7)/4
Let c(i) = -2*i**2 - 23*i + 32. Suppose -5*s = 7 - 32. Let t(k) = -k**2 - 22*k + 31. Let h(r) = s*t(r) - 4*c(r). Factor h(v).
3*(v - 3)**2
Let n(y) be the second derivative of -1/48*y**4 + 0*y**2 - 3/80*y**5 + 0*y**3 + 0 - 2*y - 1/168*y**7 - 1/40*y**6. Solve n(l) = 0.
-1, 0
Let c(b) = 4*b**3 + 6*b**2 + 6*b - 3. Let i(r) = 5*r**3 + 6*r**2 + 5*r - 4. Suppose 12 = -g - 2*g. Let z(x) = g*c(x) + 3*i(x). Factor z(d).
-d*(d + 3)**2
Let b(k) = 24*k**3 + k**2 + 2*k + 1. Let n be b(-1). Let z = -14 - n. Factor 2 - 7/2*l**3 + 23/2*l**2 - z*l.
-(l - 2)*(l - 1)*(7*l - 2)/2
Factor -16/15 + 2/15*b**2 + 4/15*b.
2*(b - 2)*(b + 4)/15
Let m be 3/(-15) - 2/(-10). Let h(f) be the third derivative of 0*f**5 + 0 + 0*f**3 + 1/24*f**4 + m*f - 1/120*f**6 + 2*f**2. Factor h(i).
-i*(i - 1)*(i + 1)
Factor -258*f + 3*f**2 + 515*f - 260*f.
3*f*(f - 1)
Let r(u) be the second derivative of -u**8/6720 + u**7/3360 + u**3/3 + 3*u. Let w(c) be the second derivative of r(c). Factor w(k).
-k**3*(k - 1)/4
Let s(g) be the second derivative of -g**7/168 - g**6/30 + 3*g**5/40 + g**4/3 - 29*g**3/24 + 3*g**2/2 - 10*g. Determine t, given that s(t) = 0.
-4, -3, 1
Let c be 3*(-2 + (-8)/(-3)). Let y(x) be the second derivative of x - 1/24*x**4 - 1/40*x**5 + 1/84*x**7 + 0*x**3 + 0 + 1/60*x**6 + 0*x**c. Factor y(o).
o**2*(o - 1)*(o + 1)**2/2
Solve w - 4*w**3 + 0*w - 3*w - w**4 - 5*w**2 = 0.
-2, -1, 0
Solve 0*o - 1/4*o**2 + 1/4 = 0.
-1, 1
Let g be (24/9)/(2/3). Suppose 0 = g*x + 5*b - 14 + 31, 3*x - 2*b = 16. Factor 4*u**2 - 4*u - 1 + u - 6*u**x.
-(u + 1)*(2*u + 1)
Let q(o) = -2*o**2 - 9*o + 8. Let r be q(-5). Let j(p) be the first derivative of 1/5*p**r - 4 + 9/10*p**2 + 6/5*p. Suppose j(n) = 0. What is n?
-2, -1
Let -16/5*l**2 + 2/5*l**3 + 26/5*l - 12/5 = 0. Calculate l.
1, 6
Suppose m = -5*i + 2*i + 9, -2*m = -5*i + 4. Let y(z) = -3 + 6 + z**i + 0*z**2. Let j(r) = 2*r**2 + 7. Let v(c) = -3*j(c) + 7*y(c). Let v(b) = 0. What is b?
0
Let j = 550 - 550. Find h, given that 2/5*h - 2/15*h**2 + j = 0.
0, 3
Let v(x) = 29*x**2 + 8*x - 16. Let b(c) = -188*c**2 - 52*c + 104. Let t(y) = -5*b(y) - 32*v(y). Factor t(k).
4*(k + 1)*(3*k - 2)
Let t(r) = -r**2 + r. Let y(n) = -10*n**2 + 4*n + 6. Let l(s) = -13*s**3 + 1. Let w be l(1). Let x(a) = w*t(a) + y(a). Solve x(o) = 0 for o.
1, 3
Let m be (-2 - -4)*2/10. Let g be ((-14)/(-5))/2 - 0. Factor m*d + g*d**2 + 0.
d*(7*d + 2)/5
Factor 0*w + 0 + w**3 + 2/3*w**2.
w**2*(3*w + 2)/3
Let q(o) be the first derivative of -o**6/15 - 2*o**5/25 + o**4/5 - 3. Suppose q(v) = 0. Calculate v.
-2, 0, 1
Let t(d) be the first derivative of d**4/8 - d**3/6 - 3. Suppose t(g) = 0. What is g?
0, 1
Let o(t) be the third derivative of t**6/840 - t**5/60 + 5*t**4/56 - 3*t**3/14 + 18*t**2. Factor o(v).
(v - 3)**2*(v - 1)/7
Let h(p) be the third derivative of -1/24*p**4 + 0*p**3 - p**2 + 1/120*p**5 - 1/420*p**7 + 0 + 0*p + 1/120*p**6. Factor h(x).
-x*(x - 2)*(x - 1)*(x + 1)/2
Let n(w) = 11*w**3 - 11*w**2 + 5*w - 5. Let m(t) = -17*t**3 + 17*t**2 - 8*t + 8. Let h(g) = 5*m(g) + 8*n(g). Determine i so that h(i) = 0.
0, 1
Solve 2*b**4 - b + 6*b**2 - 3*b + 2*b - 6*b**3 = 0.
0, 1
Let y = 112/275 + -2/275. Factor 0*w**3 - y*w**4 + 4/5*w + 0 + 6/5*w**2.
-2*w*(w - 2)*(w + 1)**2/5
Let t(l) = 2*l**2 + l + 1. Let k be t(-1). Solve -3*i**3 - 2 + k*i**2 + 2*i**3 + 3*i - 2*i = 0 for i.
-1, 1, 2
Suppose 26 = -0*i - 2*i - 5*r, 0 = -3*i - 5*r - 44. Let d be ((-2)/(-6))/((-15)/i). Let -2/5*m**2 + 0 + d*m + 2/5*m**4 - 2/5*m**3 = 0. Calculate m.
-1, 0, 1
Let c(q) be the third derivative of q**8/168 + 2*q**7/35 + 13*q**6/60 + 2*q**5/5 + q**4/3 + 31*q**2. Solve c(t) = 0.
-2, -1, 0
Let l = 75 + -73. Factor 1/2 + 0*b - 1/2*b**l.
-(b - 1)*(b + 1)/2
Let b(s) = 8*s**2 - 2*s - 6. Let a(d) = -17*d**2 + 5*d + 12. Let w(k) = -6*a(k) - 13*b(k). Suppose w(g) = 0. Calculate g.
-3, 1
Let m(q) be the first derivative of 0*q**3 - 1/5*q**2 - 1/25*q**5 + 1/5*q - 4 + 1/10*q**4. Solve m(i) = 0 for i.
-1, 1
Let r = 6/29 - 211/1160. Let y(l) be the third derivative of -l**3 + 0*l - r*l**5 - l**2 - 1/4*l**4 + 0. Let y(z) = 0. What is z?
-2
Let w(i) be the second derivative of i**4/12 - i**3/3 + i**2/2 + 8*i. Find r, given that w(r) = 0.
1
Let o(m) be the second derivative of m**7/2520 - m**5/120 + m**4/6 + 7*m. Let u(j) be the third derivative of o(j). Suppose u(l) = 0. Calculate l.
-1, 1
Let i(s) = s**2 + 7*s + 1. Let w(a) = -a + 1. Let y = -5 + 6. Let v(x) = y*i(x) + 3*w(x). Factor v(q).
(q + 2)**2
Let u(j) be the third derivative of j**6/270 - j**5/54 + j**4/108 + 2*j**3/27 - 2*j**2. Factor u(w).
2*(w - 2)*(w - 1)*(2*w + 1)/9
Suppose 0*d + 4 = d. Solve v**5 + 7*v**3 - v**d + 2*v**4 - 9*v**3 - 2*v**4 = 0.
-1, 0, 2
Let r be 4/(-6) + (-1)/3. Let k = r + 3. Suppose -d**2 - d**2 + 0*d**2 + k*d**3 = 0. Calculate d.
0, 1
Let f(b) = -56*b**2 + 26*b + 4. Let p(i) = -55*i**2 + 25*i + 3. Let r(y) = 5*f(y) - 6*p(y). Factor r(v).
2*(5*v - 1)**2
Let o(v) be the second derivative of 2*v**7/21 - 4*v**6/15 - v**5/5 + 2*v**4/3 + 2*v. Factor o(q).
4*q**2*(q - 2)*(q - 1)*(q + 1)
Let b(d) be the third derivative of -d**6/30 - d**5/30 + d**4/6 + d**3/3 - 9*d**2. Suppose b(j) = 0. What is j?
-1, -1/2, 1
Let l(a) be the first derivative of -25*a**6/4 - 17*a**5/2 + 43*a**4/8 + 27*a**3/2 + 8*a**2 + 2*a - 8. Suppose l(o) = 