 + 0*u**7. Solve q(z) = 0.
-1, 0, 1
Let k(h) = 17*h**5 - 41*h**4 + 110*h**3 - 99*h**2 + 13*h. Let a(s) = -s**5 - s**4 + s**2 + s. Let o(g) = 22*a(g) + 2*k(g). Let o(d) = 0. Calculate d.
0, 2/3, 1, 6
Let s(u) be the first derivative of 2*u**3/15 + 4*u**2/5 + 8*u/5 - 65. Factor s(t).
2*(t + 2)**2/5
Let f(w) be the first derivative of -w**6/90 - 13*w**5/15 - 169*w**4/6 - 3*w**3 - 37. Let z(d) be the third derivative of f(d). Factor z(o).
-4*(o + 13)**2
Let k(y) be the second derivative of y**5/10 - 2*y**4 - 43*y**3/3 - 30*y**2 - 36*y + 5. Factor k(o).
2*(o - 15)*(o + 1)*(o + 2)
Factor 2*n - 2*n**3 - 2/3*n**4 + 2/3*n**2 + 0.
-2*n*(n - 1)*(n + 1)*(n + 3)/3
Suppose -3 = -4*i + 1. Suppose 4 = c + i. Suppose -50*h**c + 4*h**2 - 4*h**4 - h**5 + 45*h**3 - 6*h**2 = 0. What is h?
-2, -1, 0
Let h(q) = 2*q - 1. Let l(d) = -2*d**2 - 48*d + 9. Let t(x) = 18*h(x) + 2*l(x). Factor t(r).
-4*r*(r + 15)
Let k(l) be the second derivative of -l**7/189 - l**6/27 - l**5/18 + 5*l**4/54 + 2*l**3/9 - 636*l + 1. Find o such that k(o) = 0.
-3, -2, -1, 0, 1
Let r be 7/(21/2)*(-12)/(-72). Let u(i) be the second derivative of -2*i + r*i**3 + 0 - 1/54*i**4 + 0*i**2. Factor u(b).
-2*b*(b - 3)/9
Let y be 0/(-4 - 5 - -12). Let j(l) be the second derivative of -1/3*l**4 + y + 5*l - 2*l**3 + 0*l**2. Factor j(x).
-4*x*(x + 3)
Let k(g) be the third derivative of -g**5/300 - g**4/20 - 4*g**3/15 - 19*g**2 - 2*g. Find b, given that k(b) = 0.
-4, -2
Let r = 207 - 2263/11. Factor -r*b + 4/11 - 10/11*b**2 + 8/11*b**3.
2*(b - 2)*(b + 1)*(4*b - 1)/11
Let y(q) = q + 10. Let k be y(5). Suppose -12 + 0 = -4*f. Factor -x**f - 12 - 3*x**3 + 2*x**3 - k*x**2 - x**3 - 24*x.
-3*(x + 1)*(x + 2)**2
Find a, given that 0 - 17/7*a**2 - 1/7*a**3 - 16/7*a = 0.
-16, -1, 0
Suppose 5*v - 24 + 9 = 0. Let d be (v + -1 + -12)*10/(-20). Find t such that 0 + 0*t + 0*t**2 - 1/4*t**d + 1/4*t**3 + 0*t**4 = 0.
-1, 0, 1
Let u(c) = -c**2 - c + 60. Let d(f) = -9*f**2 - 12*f + 600. Let m(z) = 2*d(z) - 21*u(z). Factor m(i).
3*(i - 5)*(i + 4)
Suppose 20*u + 240 = 14*u. Let g be (30 + -22)*(-22)/u. Factor -4/5 - 18/5*i**2 + g*i.
-2*(i - 1)*(9*i - 2)/5
Let s(a) = -6 - 2 + 11 - 2 - 2*a - 4*a**3 + a**2. Let f(b) = 9*b**3 - b**2 + 5*b - 3. Let t(g) = 2*f(g) + 5*s(g). Suppose t(h) = 0. Calculate h.
-1/2, 1
Let t(o) be the second derivative of -11*o - 6*o**3 - 12/7*o**2 - 405/28*o**5 - 243/98*o**7 - 171/14*o**4 - 324/35*o**6 + 0. Determine x, given that t(x) = 0.
-2/3, -1/3
Let a be 2783/209 + -1 + -12. Determine v so that a*v + 0 + 2/19*v**2 = 0.
-3, 0
Factor 2/11*j**2 - 6/11 - 4/11*j.
2*(j - 3)*(j + 1)/11
Factor 6*n**2 + 5*n**2 + 5*n + 5*n**3 - n**2 - 20*n.
5*n*(n - 1)*(n + 3)
Let m be (3/(-3) + -2)/((-21)/14). Factor 1/2 + 1/4*t - 1/4*t**m.
-(t - 2)*(t + 1)/4
Let z(p) be the third derivative of p**5/15 + 23*p**4 + 3174*p**3 - 200*p**2 - p. Determine x, given that z(x) = 0.
-69
Let p(g) be the third derivative of 26*g**2 + 0 + 1/30*g**6 - 1/6*g**4 + 1/15*g**5 + 0*g - 2/3*g**3. Factor p(b).
4*(b - 1)*(b + 1)**2
Let f(t) = -3*t + t - 2*t + 3*t + 10. Let v be f(6). Find l such that -4*l**2 + 9*l**v - 3*l**5 + 2*l**3 + 0*l**4 - 3*l**5 - l**4 = 0.
-2/3, 0, 1
Let u be (-472)/(-295)*(-70)/(-88). Solve 30/11*w - u - 18/11*w**2 + 2/11*w**3 = 0 for w.
1, 7
Let s(y) = y**2 - 28*y + 56. Let m be s(26). Let q be ((m - -2)*1)/((-3)/(-2)). Factor -1/6*c**q + 0*c + 0 + 1/6*c**2 + 0*c**3.
-c**2*(c - 1)*(c + 1)/6
Suppose 4 = 3*o + 5*b, 5*o + 0*b + 3*b - 12 = 0. Let p be o - (-3 - (1 + -5)). Let -11*y - 15*y**p + 1 + 11 - 13*y = 0. What is y?
-2, 2/5
Factor 10/19*c + 0 + 2/19*c**2.
2*c*(c + 5)/19
Let d(x) = 2*x**2 + 1. Let i(m) = 21*m**3 + 636*m**2 + 4545*m - 1344. Let j(r) = -6*d(r) + i(r). Let j(z) = 0. Calculate z.
-15, 2/7
Let z(x) = 28*x + 32. Let d(h) = -h**2 - 55*h - 64. Let u(o) = -4*d(o) - 7*z(o). What is p in u(p) = 0?
-4, -2
Let r(m) be the second derivative of 3*m**6/20 - 21*m**5/40 - 53*m**4/24 - 9*m**3/4 - m**2 - 7*m + 16. Factor r(c).
(c - 4)*(c + 1)*(3*c + 1)**2/2
Let d = -4339/5 + 868. Factor 0*w + 0 + 0*w**2 - d*w**5 - 2/5*w**3 - 3/5*w**4.
-w**3*(w + 1)*(w + 2)/5
Let i(w) be the third derivative of w**6/180 - 14*w**5/45 + 119*w**4/36 - 92*w**3/9 + 811*w**2. Factor i(y).
2*(y - 23)*(y - 4)*(y - 1)/3
Let n(q) = 0*q + 0*q**3 - q + 1 + 0*q**3 + q**3. Let o(m) = 9*m**3 + 12*m**2 + 40*m + 72. Let k(y) = -24*n(y) + 3*o(y). Factor k(t).
3*(t + 4)**3
Let w be (53 + (-1232)/24)*18/5. Factor 3/2*s**4 + w*s + 9*s**2 - 15/2*s**3 - 12.
3*(s - 2)**3*(s + 1)/2
Suppose 3*n - 5*l = -10, 21 - 1 = 4*l. Factor -10 - 10*y + 3 - 3 - n + 5*y**2.
5*(y - 3)*(y + 1)
Let k be ((-4)/(-10))/((-21)/(-3150)*15). Determine o, given that 4/3 + 2*o - 20/3*o**2 - 20/3*o**k - 14*o**3 = 0.
-1, -1/2, 2/5
Let i(g) = -g**2 + 11*g - 11. Let o be i(10). Let w(s) = -s**3. Let y(p) = 20*p**4 + 49*p**3 + 45*p**2 + 5*p - 5. Let x(j) = o*y(j) + 6*w(j). Factor x(q).
-5*(q + 1)**3*(4*q - 1)
Let l(i) be the second derivative of -1/12*i**3 + 30*i - 1/80*i**5 + 0 - 1/16*i**4 + 0*i**2. Factor l(v).
-v*(v + 1)*(v + 2)/4
Suppose 11*i + 2 = 35. Let v(y) be the second derivative of 2/3*y**4 + 0 - 2*y - 1/3*y**i + 0*y**2. Suppose v(f) = 0. Calculate f.
0, 1/4
Let n(f) = -51*f**3 - f**2 + f + 1. Let u be n(-1). Let i = u + -26. What is z in 9*z - 5 + 21*z**2 - i*z**2 - 1 = 0?
1, 2
Suppose -19*w + 19 = -171. Let y(n) be the second derivative of n**3 - 1/12*n**4 + 0 - 9/2*n**2 - w*n. Factor y(t).
-(t - 3)**2
Let i be (1 - 2)/(15/(-12) + 0). Let z be 3 - 1 - (7 + (7 - 12)). Factor -i*g**2 + z*g + 0 + 2/5*g**3.
2*g**2*(g - 2)/5
Let h(p) be the second derivative of p**4/6 - 58*p**3/3 + 841*p**2 + 301*p. Suppose h(n) = 0. What is n?
29
Let w(x) be the second derivative of x**4/4 + 9*x**3/2 - 15*x**2 + 249*x + 2. Solve w(h) = 0.
-10, 1
Let u(p) be the first derivative of p**6/105 - p**5/35 + 3*p - 10. Let g(x) be the first derivative of u(x). Solve g(l) = 0.
0, 2
Let c be 63/231*(-3)/(-9). Let r(t) be the second derivative of -6*t - c*t**2 - 1/33*t**3 + 0 + 1/33*t**4. Solve r(s) = 0.
-1/2, 1
Let u = 96221/5 - 19244. Let l = 336/5 + -67. Let l*k**5 - 1/5*k**4 - 1/5 + 2/5*k**2 - 2/5*k**3 + u*k = 0. What is k?
-1, 1
Let o(g) = -291*g - 871. Let w be o(-3). Factor -2/3*t + 1/3 + 1/3*t**w.
(t - 1)**2/3
Let i(h) be the third derivative of -h**7/210 + 5*h**6/24 - 63*h**5/20 + 407*h**4/24 - 121*h**3/3 + 234*h**2. Find x, given that i(x) = 0.
1, 2, 11
Let l be (-8)/(-6)*15/(-10). Let c be 40/42 + l/3. Let -6/7*b**2 - 2/7 - 6/7*b - c*b**3 = 0. What is b?
-1
Factor 40*s**3 + 52*s**2 - 13437*s + 13349*s - 2*s**4 - 2*s**4.
-4*s*(s - 11)*(s - 1)*(s + 2)
Let v = 6 - 2. Factor 4*o**3 + 6*o**3 - v*o**3 + 3*o - 9*o**3 - 9*o**2 + 9.
-3*(o - 1)*(o + 1)*(o + 3)
Suppose 276*z = -4*t + 272*z - 4, -3*z - 3 = -2*t. Solve 16/3*p**2 + 2/3*p**5 + 0 - 8/3*p**3 + t*p - 4/3*p**4 = 0.
-2, 0, 2
Let n(r) be the third derivative of 0*r + 1/120*r**6 + 0*r**3 - 15*r**2 + 1/12*r**4 + 0 - 1/20*r**5. Factor n(x).
x*(x - 2)*(x - 1)
Let x(r) = -3*r - 6. Let b be x(-8). Let c be ((-16)/b)/(-2)*30/20. Factor -2/3*j**3 + c*j - 2/3*j**2 + 2/3.
-2*(j - 1)*(j + 1)**2/3
Let x be 60/45*(-1)/(-8)*2. Let p(l) be the first derivative of 1/20*l**2 + 3/5*l**4 - 5/12*l**6 - x*l**3 - 1 + 1/5*l**5 + 0*l. Suppose p(b) = 0. What is b?
-1, 0, 1/5, 1
Let u be -1 - (-4 + 13)/(-3). Determine m so that 10*m + 0*m**2 - 25 - 2*m**2 + m**u = 0.
5
Let j = -399 - -402. Let d(s) be the first derivative of -1/6*s**j + s - 6 + 1/4*s**2. Solve d(t) = 0.
-1, 2
Let p(y) = 1 - 22*y + 13*y + 8*y. Let q(n) = -20*n**2 + 79*n - 49. Let w(l) = -4*p(l) - q(l). Factor w(k).
5*(k - 3)*(4*k - 3)
Let s(f) be the first derivative of 3*f - 1/42*f**4 + 3/7*f**2 + 4 - 2/21*f**3. Let n(v) be the first derivative of s(v). Factor n(w).
-2*(w - 1)*(w + 3)/7
Let x(b) be the second derivative of -b**3 + 0 - 1/2340*b**6 + 1/780*b**5 + 1/78*b**4 - 3*b + 0*b**2. Let s(f) be the second derivative of x(f). Factor s(z).
-2*(z - 2)*(z + 1)/13
Let b = -25 - -31. Factor -12*y**2 + 5*y**2 + b*y + 2*y + 9*y**2.
2*y*(y + 4)
Let z(r) be the third derivative of 5*r**8/336 + 11*r**7/105 + 19*r**6/60 + 8*r**5/15 + 13*r**4/24 + r**3/3 - 24*r**2. Factor z(q).
(q + 1)**4*(5*q + 2)
Determine c so that -3 + 1/2*c**4 + 5/2*c**2 + 7/2*c**3 - 7/2*c = 0.
-6, -1, 1
Suppose -7*o + 10*o - 3*a = 0, 0 = -2*o - 4*a. 