tor -b + 1/3 - r*b**h + b**2.
-(b - 1)**3/3
Let b(s) be the second derivative of -1/20*s**5 + 0 + s + 0*s**2 - 1/6*s**3 + 1/6*s**4. Find v such that b(v) = 0.
0, 1
Let q(i) be the third derivative of -i**6/120 + i**5/20 - i**3/3 - 3*i**2. Let z(g) be the first derivative of q(g). Solve z(v) = 0.
0, 2
Let k(l) be the first derivative of 2/3*l**3 + 2 - l**2 - 4*l. Factor k(h).
2*(h - 2)*(h + 1)
Suppose 2*r - 692 = 4*u, -2*u - 1349 = -4*r - u. Determine m so that -180*m**2 - r*m**3 - 1 - 17*m - 22*m - 2 - 143*m**4 - 49*m**4 = 0.
-1, -1/4
Let y(o) be the second derivative of o**6/60 - 3*o**5/40 + o**3/3 + 3*o - 1. Suppose y(k) = 0. What is k?
-1, 0, 2
Let v = 228 - 2048/9. Factor v + 2/9*k**2 - 2/3*k.
2*(k - 2)*(k - 1)/9
Let z(q) be the second derivative of q**7/315 + q**6/180 + q**2/2 + 2*q. Let x(k) be the first derivative of z(k). Factor x(p).
2*p**3*(p + 1)/3
Suppose -4*t + 14 = 5*y + 9, -4*t - 4*y = -4. Let r(a) be the first derivative of 1/9*a**2 - 2/27*a**3 + t*a - 3. What is i in r(i) = 0?
0, 1
Let q(s) be the third derivative of 0*s + 0 - 1/420*s**6 + 2*s**2 + 1/735*s**7 + 0*s**5 + 0*s**3 + 0*s**4. Let q(p) = 0. What is p?
0, 1
Factor -4/9 + 4/9*c**2 + 2/9*c**3 - 2/9*c.
2*(c - 1)*(c + 1)*(c + 2)/9
Let w(b) = -2*b - 8. Let t be w(-6). Find c, given that -3*c**3 - c**t + 3*c**2 + 2*c**4 - c + 0*c = 0.
0, 1
Let l(f) be the third derivative of -f**7/210 + f**6/120 + 9*f**2. Factor l(o).
-o**3*(o - 1)
Let j be 3 + 1*(1 + -2). Factor -4*h**2 - 1 - 2*h - 5*h**2 + 8*h**j.
-(h + 1)**2
Let -4/3*l**2 + 8/3*l + 0 = 0. Calculate l.
0, 2
Let a = -26 + 79/3. Solve -2/3 + a*r + 1/3*r**2 = 0 for r.
-2, 1
Factor 2*t**3 + t**4 + 4*t**2 - 2*t**4 - 7*t**2 + 2*t**4 - 8*t - 4.
(t - 2)*(t + 1)**2*(t + 2)
Let w(d) = -d**3 + 2*d**2 + 21*d + 18. Let j(a) = -4*a**3 + 11*a**2 + 105*a + 90. Let f(m) = -2*j(m) + 11*w(m). Factor f(b).
-3*(b - 3)*(b + 1)*(b + 2)
Let a(u) be the third derivative of -u**7/1680 - u**6/288 - u**5/120 - u**4/96 + 2*u**3/3 - 4*u**2. Let g(l) be the first derivative of a(l). Factor g(c).
-(c + 1)**2*(2*c + 1)/4
Let z(w) be the third derivative of -w**6/160 + w**5/8 - 23*w**4/32 + 7*w**3/4 - 40*w**2 - 2. Suppose z(x) = 0. Calculate x.
1, 2, 7
Let v(r) be the third derivative of 1/90*r**5 + 0 - 1/36*r**4 + 0*r**3 - 1/315*r**7 + 0*r + r**2 + 1/180*r**6. Find k such that v(k) = 0.
-1, 0, 1
Let j(p) be the third derivative of -p**6/1140 - p**5/285 + p**4/228 + 2*p**3/57 - 12*p**2. Factor j(x).
-2*(x - 1)*(x + 1)*(x + 2)/19
Let o = 2 - -2. Let -i**2 + 3*i**2 - 7*i**o + 8*i**4 - 3*i**2 = 0. Calculate i.
-1, 0, 1
Let k = -6/41 - -124/287. Let h = 24/5 - 158/35. Factor 0*r - k*r**2 - h*r**4 + 0 + 4/7*r**3.
-2*r**2*(r - 1)**2/7
Let x(a) be the first derivative of 5*a**4/4 - 35*a**3/3 + 35*a**2 - 40*a + 1. Solve x(p) = 0 for p.
1, 2, 4
Let m(o) be the second derivative of o**5/210 + o**4/42 + o**3/21 + 3*o**2/2 - 2*o. Let i(a) be the first derivative of m(a). Let i(t) = 0. What is t?
-1
Let s(h) = -7*h**3 - 8*h**2 - h. Let j(w) = -48*w**3 - 56*w**2 - 8*w. Let z(p) = 3*j(p) - 20*s(p). Factor z(c).
-4*c*(c + 1)**2
Let p(s) be the first derivative of 1/180*s**6 - 1/45*s**5 + 0*s + 2 + 0*s**3 + 1/36*s**4 + 1/2*s**2. Let v(l) be the second derivative of p(l). Factor v(d).
2*d*(d - 1)**2/3
Let h be (-11)/(198/(-20))*18/30. Suppose k - 3*y - 2 = 0, 4*k - y - 6 = 2. Factor -h - 1/3*v**k + v.
-(v - 2)*(v - 1)/3
Factor 20/11 + 2/11*t**2 + 2*t.
2*(t + 1)*(t + 10)/11
Let b(z) be the second derivative of 0 - 2*z + 1/6*z**4 + z**2 - 2/3*z**3. Factor b(c).
2*(c - 1)**2
Let u(k) be the third derivative of 0 + 0*k**3 + 1/20*k**5 - 2*k**2 - 1/8*k**4 + 0*k. Factor u(o).
3*o*(o - 1)
Let p = -110 - -113. Let l(s) be the first derivative of -3/4*s**2 + s + 2 + 1/6*s**p. Factor l(n).
(n - 2)*(n - 1)/2
Let u(d) be the third derivative of d**9/5880 + d**8/1960 + d**7/2205 + d**4/4 + d**2. Let s(l) be the second derivative of u(l). Factor s(i).
2*i**2*(3*i + 2)**2/7
What is p in -24*p**3 - 47*p**4 + p + 4*p**5 + 43*p**4 - p = 0?
-2, 0, 3
Factor -4/7*n**2 - 5/7*n - 1/7.
-(n + 1)*(4*n + 1)/7
Suppose 3*z - 12 = 2*a, 2*z - 4*a - 14 = 2. Factor 4*p**2 + 5*p**3 - 10*p**z - 5*p**4 + p**3 + 3*p**4 + 2*p.
-2*p*(p - 1)**3
Let k(y) be the first derivative of 0*y - 2/7*y**2 + 2/3*y**3 + 6. Determine t so that k(t) = 0.
0, 2/7
Let j(z) be the first derivative of 4*z**3/3 + 4*z**2 + 4*z - 2. Factor j(a).
4*(a + 1)**2
Suppose -8*m + 18 = -6. Find q, given that -6/7*q**m + 0*q + 2/7*q**4 + 4/7*q**2 + 0 = 0.
0, 1, 2
Let i(t) be the second derivative of 2*t**2 + 4*t + 0 - 1/108*t**4 + 0*t**3 + 1/270*t**5. Let k(r) be the first derivative of i(r). Solve k(v) = 0 for v.
0, 1
Let n be 4/(-22) - 79/(-11). Determine m so that 210*m**2 + 18 - 156*m - n + 85*m**3 + 13 + 62*m**3 = 0.
-2, 2/7
Let w(m) be the second derivative of m**3/6 + 2*m. Let j(x) = 3*x**3 + 3*x**3 - 2*x**3 - 3*x - 5*x**3. Let f(h) = 2*j(h) + 6*w(h). Factor f(q).
-2*q**3
Factor 4/3 + 2*j + 2/3*j**2.
2*(j + 1)*(j + 2)/3
Let l = -59/3 - -419/21. Solve -2/7*m**3 + 0*m + 0 + l*m**4 - 4/7*m**2 = 0 for m.
-1, 0, 2
Let d(p) be the first derivative of p**3 - 3*p**2 - 9*p - 2. Find l, given that d(l) = 0.
-1, 3
Let c(b) be the third derivative of -b**6/10 - 4*b**5/15 + 13*b**4/6 - 4*b**3 - 3*b**2. Suppose c(r) = 0. What is r?
-3, 2/3, 1
Let n = 101/55 + -1/5. Suppose -10/11*g + n*g**3 - 6/11*g**2 - 2/11 = 0. Calculate g.
-1/3, 1
Let g = 67/30 + 4/15. Suppose 0 - c - g*c**2 = 0. What is c?
-2/5, 0
Let m(a) be the second derivative of a**6/495 + a**5/132 + a**4/132 + a**3/6 + 3*a. Let v(t) be the second derivative of m(t). What is u in v(u) = 0?
-1, -1/4
Let j(l) = 8*l**3 - 24*l**2 + 15*l - 17. Let m(n) be the first derivative of -2*n**3 + 1/2*n**4 - 4*n + 2*n**2 + 1. Let r(s) = 2*j(s) - 9*m(s). Factor r(x).
-2*(x - 1)**3
Factor 2/9*k**2 + 40/9*k + 200/9.
2*(k + 10)**2/9
Factor -1/5*n**2 + 0 + n.
-n*(n - 5)/5
Suppose 4 = 7*t - 6*t. Let b(y) be the third derivative of 1/150*y**5 - y**2 + 0*y - 1/15*y**3 + 1/60*y**t - 1/300*y**6 + 0. Factor b(q).
-2*(q - 1)**2*(q + 1)/5
Let q(h) be the second derivative of h**4/102 - 2*h**3/51 + h**2/17 + h - 2. Factor q(x).
2*(x - 1)**2/17
Suppose 12*m - 11*m = 0. Let p be (-54)/(-12) - (4 - m). Suppose -t**3 + 0 - p*t**2 + 0*t - 1/2*t**4 = 0. What is t?
-1, 0
Let m be 4/8*(-2)/(-5). Let p = 5 - 2. Factor -1/5*k**2 - m*k + 0 + 1/5*k**4 + 1/5*k**p.
k*(k - 1)*(k + 1)**2/5
Factor -15/2*w - 7/2 - 9/2*w**2 - 1/2*w**3.
-(w + 1)**2*(w + 7)/2
Suppose -7 = y - 10. Suppose -4*t + 3*t = -y. Factor 0 + 0*n + 2/3*n**4 - 10/9*n**t + 4/9*n**2.
2*n**2*(n - 1)*(3*n - 2)/9
Let n = 506 - 506. Factor 0*k + n - 1/4*k**2 + 1/4*k**3.
k**2*(k - 1)/4
Suppose -5*j = -2*d + 4, 2*j - 3 - 3 = -3*d. Suppose d + 5*c**2 + 16*c - c**2 + 14 = 0. Calculate c.
-2
Let m be ((-51)/(-12) - 2) + 14/(-7). Suppose -1/4*h**2 - m - 1/2*h = 0. What is h?
-1
Let a(y) = -3*y - 4. Let n be a(8). Let f be (-36)/n + 2/(-2). Solve 0 - 2/7*v**2 - f*v**4 + 0*v + 4/7*v**3 = 0.
0, 1
Let w(p) be the second derivative of p**6/210 + p**5/28 + p**4/12 + p**3/14 - 32*p. Factor w(z).
z*(z + 1)**2*(z + 3)/7
Let s be 8/14*(-14)/(-44). Suppose 8/11*q**2 - s*q**3 + 0 - 8/11*q = 0. What is q?
0, 2
Let r(l) be the first derivative of 2/45*l**5 + 0*l**2 - 1/18*l**4 - 2 + 0*l**3 + 0*l. Let r(t) = 0. What is t?
0, 1
Factor 0 - 3*f**2 - 6/5*f.
-3*f*(5*f + 2)/5
Let y(v) be the first derivative of -v**4/48 + v**3/12 - v**2/8 + v - 2. Let b(u) be the first derivative of y(u). Factor b(s).
-(s - 1)**2/4
Let f(c) be the third derivative of c**7/945 + 30*c**2. Solve f(j) = 0.
0
Suppose 5*l = -2*i + 3*i + 280, l - 3*i = 42. Let t = l - 397/7. Let 6/7*h + 4/7 + t*h**2 = 0. What is h?
-2, -1
Let w(t) be the second derivative of -t**6/300 + t**5/75 + t**4/60 - 2*t**3/15 + t**2/2 - 4*t. Let i(h) be the first derivative of w(h). Solve i(l) = 0.
-1, 1, 2
Let p(f) = -f**3 + 2*f**2 + 2*f - 3. Let r(d) = -d**4 + d**2 - d + 1. Let y(q) = 2*p(q) + 2*r(q). Determine j, given that y(j) = 0.
-2, -1, 1
Let g be (-2 + 10)/(-4) + 5. Factor 4*h - 3 + 10*h - 8*h**2 - 8*h**g - 1.
-2*(h + 2)*(2*h - 1)**2
Factor 23*t**2 - 5*t**3 - 17*t**2 + 15 + 5*t + 20*t**4 - 41*t**2 + 0.
5*(t - 1)**2*(t + 1)*(4*t + 3)
Suppose -3*j + 12 - 6 = 3*u, 4*j - 8 = 5*u. What is r in -1/4*r**5 + 0*r**2 + 0 + u*r + 0*r**4 + 1/4*r**3