= -11 - q. Factor 2/3*k + r - 2/3*k**3 + 0*k**2.
-2*k*(k - 1)*(k + 1)/3
Let s(o) be the second derivative of -1/15*o**3 + 1/15*o**4 - 1/5*o**2 - 1/105*o**7 + 0 - o - 1/75*o**6 + 1/25*o**5. Factor s(n).
-2*(n - 1)**2*(n + 1)**3/5
Let s(z) be the third derivative of 1/12*z**6 - 1/10*z**5 + 4/105*z**7 - 1/3*z**3 - z**2 + 0*z - 5/12*z**4 + 0. Solve s(j) = 0.
-1, -1/4, 1
Determine x, given that -37*x**4 - 28*x + 1 - 73*x**3 - 40*x**2 - 27*x**2 - 5 - 7*x**5 = 0.
-2, -1, -2/7
Let y(g) be the third derivative of -g**7/945 + g**6/270 - g**5/270 - g**2. Determine m so that y(m) = 0.
0, 1
Let y = -8 - -11. Let c be (y - 3)/((-1)/1). Factor 4/3*o**2 + c + 2/3*o + 2/3*o**3.
2*o*(o + 1)**2/3
Let l(w) be the third derivative of -w**5/30 - w**4/6 - w**3/3 - 7*w**2. Factor l(k).
-2*(k + 1)**2
Let u(w) be the first derivative of -w**3 - 21*w**2/2 - 18*w + 22. Factor u(l).
-3*(l + 1)*(l + 6)
Factor 8*r**3 + 21*r + 6*r**4 + 17*r**3 - 6 - 24*r**2 - 19*r**3 - 3*r**5.
-3*(r - 1)**4*(r + 2)
Let g(j) = j**2 + 6*j + 3. Let s be g(-9). Suppose 0 = 4*n - 2*n - 10, 2*z + 4*n = s. Factor -12*v**z - 5 - 3*v + 5 - 45*v**3 - 39*v**4 - 21*v**2.
-3*v*(v + 1)**3*(4*v + 1)
Let g(x) be the third derivative of -x**6/360 - x**5/60 - x**4/24 - x**3/2 + x**2. Let l(p) be the first derivative of g(p). Solve l(r) = 0 for r.
-1
Factor 6/5*h + 2/5*h**2 + 4/5.
2*(h + 1)*(h + 2)/5
Let g(v) = -8*v**3 - 3*v**2 + 13*v - 2. Suppose -5*q - 45 = -20. Let d = 1 - 0. Let z(a) = -a**2 + a. Let p(c) = d*g(c) + q*z(c). Find b, given that p(b) = 0.
-1, 1/4, 1
Let w(r) = r**3 + 9*r**2 - 12*r - 15. Let d be w(-10). Let v(b) be the third derivative of 2*b**2 - 1/6*b**4 + 0*b + 1/3*b**3 + 1/30*b**d + 0. Factor v(m).
2*(m - 1)**2
Let l(a) = -a**3 + 3. Let o be l(0). Factor 3*r**2 + 0*r + 2 + 2*r - 5*r**2 - 5*r**3 + o*r**3.
-2*(r - 1)*(r + 1)**2
Let k(m) be the third derivative of -m**8/1344 + m**7/420 - m**6/480 - 10*m**2. Let k(b) = 0. Calculate b.
0, 1
Let k be (-2 - -2) + 1*2. Factor -z**k + z + 0 + 0 + 0.
-z*(z - 1)
Let n(a) = -a**2 + 4*a + 4. Let x be -1 - 2 - (-7 + 7). Let b(f) = 1. Let m(d) = x*n(d) + 24*b(d). Factor m(g).
3*(g - 2)**2
Suppose -12*h + 39 = -21. Let v(n) be the third derivative of 0*n - 1/480*n**6 - n**2 + 0 - 1/12*n**4 + 1/48*n**h + 1/6*n**3. Determine r so that v(r) = 0.
1, 2
Suppose 2*l = -3*f - l - 12, -5*l - 20 = -2*f. Suppose f*z = z. Factor s - 5*s**2 - 4*s**3 + 7*s**3 + 1 + z*s**2.
(s - 1)**2*(3*s + 1)
Let m(i) be the first derivative of i**6/30 - i**5/30 - i**4/6 + i**3/3 + 3*i**2/2 + 3. Let y(u) be the second derivative of m(u). Solve y(q) = 0.
-1, 1/2, 1
Suppose -5 = 3*q - 11. Let x be (4/24)/(q/16). Suppose 2/3*k**2 + 0 - x*k = 0. Calculate k.
0, 2
Let u(q) be the first derivative of -q**5/20 + q**4/8 + q**3/3 - q**2 + 21. Determine c so that u(c) = 0.
-2, 0, 2
Let b(c) be the first derivative of 0*c + 0*c**2 + 2*c**3 + 3/4*c**4 + 3. Find q such that b(q) = 0.
-2, 0
Let v be (280/(-175))/(2/(-10)*6). Solve -1 - 1/3*w**2 + v*w = 0.
1, 3
Let c be 4 - (0 - (-33)/9). Let f(r) be the first derivative of 2 - c*r - 1/9*r**3 - 1/3*r**2. Factor f(t).
-(t + 1)**2/3
Let c(k) be the first derivative of 8*k**6/3 - 12*k**5/5 - 13*k**4 + 4*k**3/3 + 18*k**2 + 8*k + 34. Let c(p) = 0. Calculate p.
-1, -1/4, 1, 2
Factor 0 - 9/7*f**2 - 3/7*f**3 + 0*f.
-3*f**2*(f + 3)/7
Let g(k) be the second derivative of 2*k**6/15 - k**4 + 4*k**3/3 + 32*k. Factor g(x).
4*x*(x - 1)**2*(x + 2)
Let p(c) = c - 5. Let l be p(7). Suppose -l*n + 4*n = 2. Let 16*b**2 + 2*b**5 + 14*b**3 + 3 - b**5 - n + 9*b + 6*b**4 = 0. What is b?
-2, -1
Let r = 1 - -1. Let k be ((40/14)/5)/((-10)/(-7)). What is f in -k - 8/5*f**2 + r*f = 0?
1/4, 1
Suppose 33*h + 35 = 101. Factor -1/7*c**3 - 1/7*c**h + 0*c + 0.
-c**2*(c + 1)/7
Let v(s) be the first derivative of -26*s**3/63 + 5*s**2/7 - 4*s/21 + 5. Find n such that v(n) = 0.
2/13, 1
Factor -1/4*l**4 + 1/4*l**2 + 0 + 1/4*l**3 - 1/4*l.
-l*(l - 1)**2*(l + 1)/4
Let l(h) = 4*h**2 - 9*h - h - 3*h**2. Let t be l(10). Determine q, given that t - 1/4*q**2 - 1/4*q = 0.
-1, 0
Solve -6*h**4 - 3*h**2 - 3*h + h + 10*h**3 + h**2 = 0.
-1/3, 0, 1
Let g(p) be the first derivative of -p**3/9 - p**2/6 + 1. Suppose g(q) = 0. What is q?
-1, 0
Determine z, given that 3/7*z**3 + 0*z**4 + 0*z + 0 - 3/7*z**5 + 0*z**2 = 0.
-1, 0, 1
Let l(h) be the first derivative of -h**7/280 - h**6/120 + h**3 + 3. Let v(p) be the third derivative of l(p). Factor v(r).
-3*r**2*(r + 1)
Let c(s) be the third derivative of s**5/300 + s**4/60 + s**3/30 - 18*s**2. Factor c(w).
(w + 1)**2/5
Factor 2/15*m**4 - 2/15*m**2 + 2/15*m**3 + 0 - 2/15*m.
2*m*(m - 1)*(m + 1)**2/15
Let p(d) be the first derivative of 0*d - 1/12*d**6 - 1/6*d**3 - 5 + 1/10*d**5 + 0*d**2 + 1/8*d**4. Factor p(i).
-i**2*(i - 1)**2*(i + 1)/2
Let h(g) = g**3 - 3*g**2 - 6*g + 2. Let t(s) = -13*s - 2*s**3 + 37*s - 9 - s**3 + 12*s**2. Let f(p) = 9*h(p) + 2*t(p). Factor f(m).
3*m*(m - 2)*(m + 1)
Suppose 0 = 2*d - 4*d. Suppose d = -f - s - 2, -4 = 4*f + 2*s - 0. Factor f + 1/3*i**2 + 1/3*i.
i*(i + 1)/3
Let a(u) be the third derivative of u**7/280 + u**6/120 - u**5/40 - u**4/8 + 2*u**3/3 - 3*u**2. Let b(r) be the first derivative of a(r). What is w in b(w) = 0?
-1, 1
Let w(z) be the first derivative of -3 + 6/5*z - 1/30*z**4 - 2/9*z**3 - 1/5*z**2. Factor w(x).
-2*(x - 1)*(x + 3)**2/15
Let u(j) be the third derivative of 1/120*j**5 + 1/16*j**4 + 0*j**3 + 3*j**2 + 0 + 0*j. Let u(d) = 0. What is d?
-3, 0
Let w = -19 - -21. Let n(m) be the third derivative of 1/240*m**5 + 0*m + 0*m**3 - 1/480*m**6 - 1/840*m**7 + 0 + w*m**2 + 1/96*m**4. Solve n(l) = 0.
-1, 0, 1
Let u be -3*(-1)/9*(-2)/(-4). Let o(z) be the third derivative of 0 - 4/9*z**3 + 1/360*z**6 - 2*z**2 + u*z**4 - 1/30*z**5 + 0*z. Factor o(y).
(y - 2)**3/3
Let z be 4/(-8) - (-15)/6. Let q be 1/2 - (-33)/6. Factor q*b**3 - b**3 - 3*b**z + 4 - 4*b**3.
(b - 2)**2*(b + 1)
Let x(p) be the first derivative of p**6/6 + 3*p**5/10 + p**4/8 + 4. Factor x(y).
y**3*(y + 1)*(2*y + 1)/2
Let h(n) = -2*n + 8. Let a be h(3). Solve -2/3 + 0*p**a + 2/3*p**4 + 4/3*p - 4/3*p**3 = 0.
-1, 1
Factor -2/3*d**2 + 2/3 - 2/3*d**3 + 2/3*d.
-2*(d - 1)*(d + 1)**2/3
Let h(t) = -2*t**2 + 2 + t + 0*t**2 + 3*t**2. Let y be h(0). Factor 4*l - y*l**2 + 0*l**2 - 2*l.
-2*l*(l - 1)
Let f = -16 - -18. Factor -2/3*m + 0 - 1/3*m**f.
-m*(m + 2)/3
Suppose -12 = -5*b - 4*t, -3*t + t = 3*b - 6. Factor 2*v + 0*v + v**2 + 3*v**2 + b*v + 2*v**3.
2*v*(v + 1)**2
Let s(v) be the third derivative of 9*v**2 + 0*v**3 + 0 - 1/6*v**4 + 1/210*v**7 + 1/40*v**6 + 0*v + 0*v**5. Factor s(g).
g*(g - 1)*(g + 2)**2
Let s = 1/33 - 103/11. Let i = s + 10. Factor 0 + 2/3*z + 2/3*z**2 - i*z**3 - 2/3*z**4.
-2*z*(z - 1)*(z + 1)**2/3
Let i(d) = d**2 - d - 1. Let a be i(-2). Suppose 2*b + 8 + 8 = a*u, b - 2*u = -6. Suppose b*t**3 + t**4 - 5*t**3 + 2*t**3 = 0. What is t?
0, 1
Let r be (-2 + -2)*(-18)/252. Solve -r - 1/7*n + 1/7*n**2 = 0 for n.
-1, 2
Let h be (-9)/27 + 1/3. Suppose 2*d = 3*d - c - 9, 10 = 5*d + 2*c. Let h + 0*m**3 - 4/7*m**d + 4/7*m**2 - 2/7*m + 2/7*m**5 = 0. What is m?
-1, 0, 1
Let h(q) be the second derivative of q**7/105 - q**6/90 + 3*q**2/2 + 2*q. Let k(c) be the first derivative of h(c). Let k(m) = 0. What is m?
0, 2/3
Let z(x) be the first derivative of x**5/300 + x**4/60 + x**3/30 - x**2/2 - 1. Let o(j) be the second derivative of z(j). What is g in o(g) = 0?
-1
Let w(o) = o**3 + 7*o**2 + 7*o + 9. Let a be w(-6). Let d(f) be the second derivative of -1/2*f**2 + 0 + 1/12*f**4 - 2*f + 0*f**a. Find k, given that d(k) = 0.
-1, 1
Let x be 0/(-2) - -1 - -4. Let m be 20/(-150)*x*-1. What is s in -2/9 + 8/9*s**2 - m*s = 0?
-1/4, 1
Factor -74*j**2 + 6 + 3*j**3 + 5*j**4 + 65*j**2 - 3*j - 2*j**4.
3*(j - 1)**2*(j + 1)*(j + 2)
Find h such that 3 + 2 + 3*h**2 + 9*h + 1 = 0.
-2, -1
Let x(i) = -i**3 - 8*i**2 - 7*i + 5. Let o be x(-7). Suppose o*n - 9 = 1. What is z in z**4 + 3*z**3 + n*z + z**3 + 5*z**2 + 0*z**4 = 0?
-2, -1, 0
Factor -1/4*n**2 - 1/2 - 3/4*n.
-(n + 1)*(n + 2)/4
Let f(w) = -9*w**2 + 3*w + 6. Suppose 2*u + 12 = -5*z, -z - 1 = -u - 0. Let a(i) = -i**2 + i. Let c(j) = u*f(j) + 12*a(j). Factor c(b).
-3*(b - 2)*(b - 1)
Let v(p) be the third derivative of -9/80*p**5 + 0*p + 0 + 0*p**3 - 7/160*p**6 - 1/16*p**4 - 5*p**2. Determine m so that v(m) = 0.
-1, -2/7, 0
Solve -u**2 +