2 + 19*p + 72. Let m(b) = 4*l(b) - 5*u(b). Let m(o) = 0. What is o?
-6
Suppose 4*g - 6 = 2*t, -2*g = 6*t - 2*t - 28. Let 0*b**3 - 2*b**3 + 2*b**5 + 4*b**t - 4*b**5 = 0. Calculate b.
-1, 0, 1
Suppose 0*q - 2 = -q. Let l(o) be the first derivative of -2/3*o**3 + 0*o + 3*o**6 + 2 + 0*o**q - 5/2*o**4 - 6/5*o**5. Factor l(c).
2*c**2*(c - 1)*(3*c + 1)**2
Let g(h) be the first derivative of -1 + 0*h**2 - 8/27*h**3 + 7/27*h**6 + 38/45*h**5 + 0*h + 4/9*h**4. Find m such that g(m) = 0.
-2, -1, 0, 2/7
Let r(d) be the second derivative of 5*d**4/12 + 5*d**3/3 - 15*d**2/2 - 47*d. Factor r(h).
5*(h - 1)*(h + 3)
Let h(n) = 5*n**3 - 13*n**2 - 12*n - 3. Let c(m) = 5*m**3 - 12*m**2 - 13*m - 2. Let v(k) = 3*c(k) - 2*h(k). Factor v(f).
5*f*(f - 3)*(f + 1)
Suppose 0 = 3*p - 4*p. Let t(v) be the third derivative of -1/210*v**5 + v**2 + 1/420*v**6 + 1/21*v**3 + p*v - 1/84*v**4 + 0. Factor t(d).
2*(d - 1)**2*(d + 1)/7
Let b(p) = p**2 - p - 12. Let w be b(4). Factor 0 + 2/7*t**2 - 2/7*t**4 + w*t + 0*t**3.
-2*t**2*(t - 1)*(t + 1)/7
Let m(g) be the second derivative of -1/40*g**5 - 1/4*g**4 - 3*g + 0 - 2*g**2 - g**3. Determine k, given that m(k) = 0.
-2
Let h be (-1*3/12)/(-30). Let c(z) be the third derivative of h*z**5 + 0*z**4 - 2*z**2 + 0*z**3 + 0 + 0*z - 1/240*z**6. Factor c(a).
-a**2*(a - 1)/2
Suppose -14 = 2*k - 20. Let s(c) be the first derivative of -1/2*c + 5/16*c**4 + 1 + 9/8*c**2 - c**k. Determine x so that s(x) = 0.
2/5, 1
Let s(b) = b**2 + 7*b + 6. Let f be s(-6). Let -15*d**2 + 10*d - 6*d**5 + f*d**2 - 27*d**3 - 13*d - 21*d**4 = 0. What is d?
-1, -1/2, 0
Let k(c) be the first derivative of c**4/22 + 14*c**3/33 + 15*c**2/11 + 18*c/11 + 23. Determine l, given that k(l) = 0.
-3, -1
Let b be (1 + 38/(-32))/(72/(-96)). Factor -1/4*h**3 + 0*h - b*h**2 + 0.
-h**2*(h + 1)/4
Let p = -21 - -32. Find o, given that p*o - 11*o + 3*o**2 - 2*o**2 = 0.
0
Let n(w) be the second derivative of w**7/35 + w**6/15 - w**5/25 - w**4/5 - w**3/15 + w**2/5 - 7*w. Find d such that n(d) = 0.
-1, 1/3, 1
Let d(k) be the third derivative of k**5/90 - k**4/12 - 4*k**3/9 + 23*k**2. Suppose d(x) = 0. Calculate x.
-1, 4
Let b(a) be the second derivative of 3*a**6/40 + 7*a**5/80 - 11*a**4/48 - 7*a**3/24 + a**2/4 + 15*a. Factor b(x).
(x - 1)*(x + 1)**2*(9*x - 2)/4
Let r = 4 - 2. Factor r*j**4 - 4*j + 2*j**5 + j**2 - 3*j**2 - j**5 + 3*j.
j*(j - 1)*(j + 1)**3
Let r(x) be the first derivative of x**5/20 - x**4/2 + 2*x**3 - 7*x**2/2 - 4. Let b(n) be the second derivative of r(n). Factor b(y).
3*(y - 2)**2
Let g(y) be the first derivative of -8*y**3/15 - 3*y**2/5 - 6. What is c in g(c) = 0?
-3/4, 0
Factor 1/2*v**3 - 27/2 + 27/2*v - 9/2*v**2.
(v - 3)**3/2
Let y(s) be the first derivative of 2*s**3/39 - 6*s**2/13 + 18*s/13 + 3. Find b, given that y(b) = 0.
3
Let s(n) = 11*n**3 - 3*n**2 - 3*n - 5. Let j(h) = -5*h**3 + 2*h**2 + 2*h + 3. Let a(y) = 13*j(y) + 6*s(y). Let g be a(-7). Factor x + 0*x**2 + x + x**g.
x*(x + 2)
Let l(p) be the second derivative of p**6/120 - p**4/24 + p**2/8 - p. Suppose l(n) = 0. Calculate n.
-1, 1
Let g(w) = w**2 - 6*w - 7. Let a be 1 - 3 - -1*9. Let i be g(a). Let 2*x**4 - 2/3*x**5 + i*x + 0 - 2*x**3 + 2/3*x**2 = 0. What is x?
0, 1
Let f(g) be the second derivative of -g**4/120 - g**3/60 + g**2/10 + 11*g. Factor f(u).
-(u - 1)*(u + 2)/10
What is u in -9*u**3 - u + 4*u - 6*u**3 - 6*u**2 + 18*u**3 = 0?
0, 1
Let f(u) be the second derivative of u**5/110 + u**4/33 - u**3/11 - 13*u. Let f(z) = 0. What is z?
-3, 0, 1
Let j(d) be the second derivative of -d**6/15 - 6*d**5/5 - 9*d**4 - 36*d**3 - 81*d**2 - 8*d. Factor j(z).
-2*(z + 3)**4
Let a(x) be the second derivative of -x**4/36 + x**2/6 + 9*x. Factor a(j).
-(j - 1)*(j + 1)/3
Factor 2*j**5 - 2*j**5 - 3*j**5 - 3*j**4.
-3*j**4*(j + 1)
Factor -4*a + 5*a**2 - 9 + 1 - a**2.
4*(a - 2)*(a + 1)
Let b be 2/4*(10 + -4). Factor -1 - 2*j**2 - 5*j + b*j + j**2.
-(j + 1)**2
Let r(p) be the third derivative of p**6/180 + 2*p**5/75 + p**4/45 - 12*p**2. Determine w so that r(w) = 0.
-2, -2/5, 0
Let b = 1283 - 5131/4. Factor -1 - b*q**2 + q.
-(q - 2)**2/4
Solve -1/7*a**2 - 1/7*a**4 - 2/7*a**3 + 0*a + 0 = 0 for a.
-1, 0
Let s(l) = 2*l**4 - 8*l**3 - 2*l + 2. Let k(r) = 4*r**4 - 17*r**3 - 5*r + 5. Let g(i) = -2*k(i) + 5*s(i). Solve g(h) = 0.
0, 3
Let k(y) be the second derivative of 8/7*y**2 + 0 - 4*y + 1/21*y**4 + 8/21*y**3. Factor k(m).
4*(m + 2)**2/7
Let v(j) = 2*j - 2. Let d be v(4). Let b(n) = n - 2. Let s be b(d). Suppose -1 - s*x - x**3 + 2*x**3 + 3*x**3 + x**2 = 0. What is x?
-1, -1/4, 1
Let p(x) be the third derivative of x**6/360 - x**4/6 - 8*x**3/9 + 43*x**2. Factor p(l).
(l - 4)*(l + 2)**2/3
Suppose -3*y = y + 40. Let c be y/(-8) + (-3)/4. Find f such that c*f**2 - 2*f + 2 = 0.
2
Suppose 10*x = 12*x. Let j(w) be the second derivative of -2*w + x*w**2 + 0*w**3 + 0 + 0*w**6 + 0*w**4 - 1/21*w**7 + 1/10*w**5. Factor j(d).
-2*d**3*(d - 1)*(d + 1)
Let d(q) = -q**2 - 1. Let x(u) = 1 + u - 4*u**2 - 3*u - 3*u. Let p(i) = d(i) + x(i). Let z(l) = -16*l**2 - 16*l. Let t(r) = -10*p(r) + 3*z(r). Factor t(s).
2*s*(s + 1)
Factor 0*m + 2/3*m**4 + 0 - 2*m**2 + 4/3*m**3.
2*m**2*(m - 1)*(m + 3)/3
Suppose -3*a - 2*n - 2 = 3, 2*n = -4*a - 4. Let y(v) = v**2 - v - 1. Let h(m) = -3*m**2 + 2. Let r(t) = a*h(t) + 2*y(t). Factor r(g).
-g*(g + 2)
Let u(k) be the third derivative of -k**7/4200 + k**5/600 - k**3/6 + k**2. Let x(w) be the first derivative of u(w). What is m in x(m) = 0?
-1, 0, 1
Factor -1/5*h**3 - 2/5 + 3/5*h + 0*h**2.
-(h - 1)**2*(h + 2)/5
Let d = 253/10668 - 3/254. Let b(k) be the third derivative of 0*k - 1/210*k**5 + 0*k**3 + 1/420*k**6 + 0 - d*k**4 + 2*k**2 + 1/735*k**7. Factor b(v).
2*v*(v - 1)*(v + 1)**2/7
Let l(b) = -b**3 + b. Let g(d) = 9*d**3 + 16*d**2 + 15*d + 8. Let u(k) = g(k) + 5*l(k). Factor u(h).
4*(h + 1)**2*(h + 2)
Find p, given that 12 - 4 + 4 - p**2 - 3*p**2 - 8*p = 0.
-3, 1
Let u be (-2)/(112/24 - 7). Find x, given that -2/7*x**2 + u*x - 4/7 = 0.
1, 2
Let q(b) be the third derivative of -b**7/70 - b**6/20 + b**5/20 + b**4/4 + b**2. Factor q(s).
-3*s*(s - 1)*(s + 1)*(s + 2)
Factor -1/3*x**3 - x**2 + 4/3 + 0*x.
-(x - 1)*(x + 2)**2/3
Factor 2*f**3 + f**5 + 6*f - 5*f - 4*f**3.
f*(f - 1)**2*(f + 1)**2
Let p(s) = 2*s**3. Let u(b) = -8*b**3 + 36*b**2 - 216*b + 432. Let w(y) = 3*p(y) + u(y). Let w(q) = 0. What is q?
6
Let d(g) be the third derivative of -g**3 + 0*g + 0 - 7/20*g**5 - 9/8*g**4 - g**2. Determine i so that d(i) = 0.
-1, -2/7
Solve 13/10*b**2 - 3/10*b**3 + 11/10*b - 1/2 = 0 for b.
-1, 1/3, 5
Let b = -3716/7 + 532. Factor 1/7*k**2 + 16/7 - b*k.
(k - 4)**2/7
Let q(h) be the third derivative of -h**9/16632 + h**8/3080 - h**6/495 - h**3 + 4*h**2. Let g(l) be the first derivative of q(l). Factor g(x).
-2*x**2*(x - 2)**2*(x + 1)/11
Let w be -2 + 0 + (-7 - -8). Let y be (-7 - -3 - 0)*w. Solve 12*z**3 + z + 4*z**3 - 14*z**2 + 3*z + 0*z**3 - 6*z**y = 0 for z.
0, 2/3, 1
Let 12*m**2 - 11*m**2 - 6*m**2 = 0. Calculate m.
0
Let q(z) be the third derivative of 0 + 1/30*z**4 + z**2 + 0*z - 1/150*z**5 + 0*z**3. Factor q(m).
-2*m*(m - 2)/5
Let y(h) = -3*h**2 - 6*h - 4. Let z(w) = w**2 + w + 1. Let q(t) = y(t) + 4*z(t). Factor q(x).
x*(x - 2)
Suppose -22/5*d**2 + 18/5*d**3 + 4/5*d + 0 = 0. Calculate d.
0, 2/9, 1
Let b(s) be the third derivative of 0 + 0*s**3 + 0*s - 1/180*s**5 + 2*s**2 - 1/72*s**4. Factor b(z).
-z*(z + 1)/3
Let p(f) = f**3 + f**2 + 1. Let g(v) = -2*v**4 - 12*v**3 - 6*v**2 + 4*v - 8. Let o(r) = g(r) + 8*p(r). Determine h so that o(h) = 0.
-2, -1, 0, 1
Let t(m) be the third derivative of m**5/270 + 5*m**4/54 + 25*m**3/27 + 11*m**2. Factor t(x).
2*(x + 5)**2/9
Let q be (-4 - -5)/((-2)/(-6)). Let r be ((-3)/(-12))/(q/3). Determine h so that 1/4*h**3 - r*h + 0 + 0*h**2 = 0.
-1, 0, 1
Suppose 30 = 5*x - 0. Factor 5 - 3 + 2*r + x - 6*r**2 - 10*r.
-2*(r + 2)*(3*r - 2)
Let k(p) = p**2 - 26*p + 27. Let o be k(25). Let m(u) be the first derivative of 0*u - 1/15*u**3 + 1 + 1/5*u**o. Factor m(b).
-b*(b - 2)/5
Let o = -10 + 8. Let h be (o + 1)*(1 + -3). Factor 3*v**h - 2*v**2 + 0*v**3 - 3*v**2 - 2*v**3.
-2*v**2*(v + 1)
Let h(g) be the first derivative of -g**3/24 + g**2/16 + g/4 + 4. Factor h(v).
-(v - 2)*(v + 1)/8
Let i(u) be the third derivative of -1/6*u**3 + 0*u - 1/12*u**4 + 2*u**2 - 1/60*u**5 + 0. Solve i(h) = 0.
-1
Let n(q) = -5*q