 - r*t = -16. Let f(s) = t*w(s) + 11*l(s). Solve f(i) = 0.
1
Let l(q) be the third derivative of q**8/10080 + q**7/2520 + q**5/12 - 9*q**2. Let c(w) be the third derivative of l(w). Factor c(x).
2*x*(x + 1)
Let i(r) be the first derivative of -r**7/70 - r**6/20 + r**4/4 + r**3/2 + r**2 - 6. Let w(z) be the second derivative of i(z). Solve w(j) = 0 for j.
-1, 1
Let z(s) = -s - 1. Let c(y) = -y**2 - 5. Let r(n) = -c(n) + 5*z(n). Factor r(d).
d*(d - 5)
Let t be -2*-1*(-6)/(-4). Suppose -9*c = -8*c. Factor -2*v + 3 + c*v - t - v**2.
-v*(v + 2)
Let f(i) be the third derivative of i**5/270 + i**4/36 + 2*i**3/27 + 6*i**2. Solve f(p) = 0.
-2, -1
Solve -3*k + 3/2*k**2 + 0 + 3/2*k**3 = 0 for k.
-2, 0, 1
Suppose -4*q - 2*s = 8, -3*q = 2*s - s + 4. Let v be 2 + 3 - 2/4. Factor v*d**3 + d**2 + 0*d + 7/2*d**4 + q.
d**2*(d + 1)*(7*d + 2)/2
Suppose -3*d - 4 = -2*m - 3, 2*d - 11 = -m. Find z, given that -8*z**2 + 12*z**d + 6*z**5 - 2*z**5 - 8*z**5 = 0.
-2, 0, 1
Let x = 47 + -47. Find n, given that 1/5*n + x - 1/5*n**2 - 2/5*n**3 = 0.
-1, 0, 1/2
Let y(j) be the second derivative of -1/60*j**4 - 1/15*j**3 - 1/10*j**2 + 0 - 2*j. Factor y(b).
-(b + 1)**2/5
Let h be (-7 - -10) + (0 - (-11)/(-4)). Factor -1/4*s + 0 + 3/4*s**4 - 3/4*s**2 + h*s**3.
s*(s - 1)*(s + 1)*(3*s + 1)/4
Let d be (-24)/(-15) + 2/5. Suppose -d*u + 0*u = -6. Factor 0*w - 2/7*w**2 - 2/7*w**u + 0.
-2*w**2*(w + 1)/7
Let i be 8*-1 + 25 + -15. Factor 0 + 2/5*y**i + 2/5*y.
2*y*(y + 1)/5
Suppose m = 5*m. Suppose m = -3*z + 6*z - 12. Factor 15*p**2 + 0*p**3 - z*p - 10*p**3 - p**2.
-2*p*(p - 1)*(5*p - 2)
Let g(x) be the first derivative of -2/3*x + 1 + 2/9*x**3 + 0*x**2. Factor g(a).
2*(a - 1)*(a + 1)/3
Let a(s) be the third derivative of 1/108*s**4 + 0 + 2/945*s**7 + 0*s + 0*s**3 - 1/1512*s**8 + 3*s**2 - 1/135*s**5 + 0*s**6. Factor a(i).
-2*i*(i - 1)**3*(i + 1)/9
Let a be (0 + 1/(-2))*16. Let b = a + 10. Let 1/4*o + 0 + 1/4*o**b = 0. Calculate o.
-1, 0
Let t(i) be the third derivative of i**8/6720 + i**7/3360 - 2*i**3/3 + i**2. Let d(q) be the first derivative of t(q). Factor d(j).
j**3*(j + 1)/4
Determine j so that -13*j**2 + 5*j**5 + 82*j**4 - 6*j - 81*j**4 - 7*j**3 - 4*j**5 = 0.
-2, -1, 0, 3
Let k(w) be the second derivative of -w**2 - w**3 - 1/10*w**5 + 0 + 2*w - 1/2*w**4. Find o such that k(o) = 0.
-1
Let a be -6 + (-9)/((-3)/1). Let x be (-20)/8*a/15. Solve 7/4*b - x - 7/4*b**3 + 1/2*b**2 = 0 for b.
-1, 2/7, 1
Factor 4*v**3 - 5 - 7*v**3 - 7*v**3 + 10*v + 5*v**4.
5*(v - 1)**3*(v + 1)
Let u(b) be the second derivative of b**5/60 - b**4/24 - b**3/3 - 3*b**2/2 + 3*b. Let c(i) be the first derivative of u(i). What is h in c(h) = 0?
-1, 2
Let n(x) be the third derivative of x**6/30 + x**5/5 + 11*x**2. Determine l so that n(l) = 0.
-3, 0
Let m be 2/8 - (-2)/8. Find x such that 0*x - 1/2*x**2 + m = 0.
-1, 1
Let c(v) = v**3 - v - 1. Let d(z) be the first derivative of 3*z**4/2 + z**3 - 3*z**2/2 - 5*z - 7. Let h(r) = 5*c(r) - d(r). Factor h(x).
-x*(x + 1)*(x + 2)
Let y = -636/7 - -1915/21. Factor -1/6*u**4 - 1/3*u + 1/6 + 0*u**2 + y*u**3.
-(u - 1)**3*(u + 1)/6
Let i(k) be the second derivative of 0*k**3 - 1/80*k**5 - 1/48*k**4 + 1/168*k**7 + 1/120*k**6 + 2*k + 0*k**2 + 0. Determine s, given that i(s) = 0.
-1, 0, 1
Suppose 3 - 2 = t. Let v be 1/t - (-1)/3. Factor -2/3*h**2 - 2/3*h + v.
-2*(h - 1)*(h + 2)/3
Let w(a) be the first derivative of a**3 + 12/5*a - 3/20*a**4 - 12/5*a**2 + 6. Factor w(l).
-3*(l - 2)**2*(l - 1)/5
Let n(v) be the first derivative of -v**6/24 + 5*v**5/4 - 125*v**4/8 + 625*v**3/6 - 3125*v**2/8 + 3125*v/4 + 16. Solve n(a) = 0.
5
Let s be (-1)/6 - (-76)/24. Suppose -4*u + s*p - 7 = 0, 3*p = 7 + 8. What is j in 0 + 1/3*j**u + 0*j - 1/3*j**3 + 1/3*j**5 - 1/3*j**4 = 0?
-1, 0, 1
Let d(s) = s**2 - 11*s - 9. Let p be d(12). Let y**3 - 2*y**2 - y + y**p - 3*y**3 = 0. Calculate y.
-1, 0
Find b, given that -1/5*b + 3/10*b**4 + 0 + 9/10*b**2 - b**3 = 0.
0, 1/3, 1, 2
Suppose -2*x + 8 = 2*m, -m + 3*x = 6*x - 8. Factor -1/2*k + 0 + 1/2*k**m.
k*(k - 1)/2
Solve -2*n**3 + 0*n + 10*n + 2*n**2 - 2 - 8*n = 0 for n.
-1, 1
Let j = -25 - -29. Factor 0*r + 0 + 2/7*r**3 - 4/7*r**j + 0*r**2 + 2/7*r**5.
2*r**3*(r - 1)**2/7
Let y be -1*(-4)/(-16)*(-3 - -1). Factor o**2 + 5/4*o + y + 1/4*o**3.
(o + 1)**2*(o + 2)/4
Let y be (1/2)/(3/(-36)). Let a be (3/y)/((-2)/12). Factor r**2 - 3*r**2 + a*r**2 - 4 - 4*r + 8.
(r - 2)**2
Let v be 1 + 2/(-2) + 2. Factor -6*s**2 + 0*s**2 + 7*s**v.
s**2
Let t = 101/210 - -2/105. Solve r**3 - 1/2*r - 1/2 - t*r**4 + r**2 - 1/2*r**5 = 0 for r.
-1, 1
Factor 4*d**2 + 4*d**2 + 4*d**2 - 10*d**2 + 4 + 6*d.
2*(d + 1)*(d + 2)
Let w(l) be the second derivative of l**7/2520 + l**4/12 - 2*l. Let b(k) be the third derivative of w(k). What is r in b(r) = 0?
0
Let q = 1/169 + 329/1521. Factor 2/9*t**2 + 2/9*t**3 - q - 2/9*t.
2*(t - 1)*(t + 1)**2/9
Let f(t) be the second derivative of -t**5/20 + t**4/18 + t**3/18 - 21*t. Factor f(c).
-c*(c - 1)*(3*c + 1)/3
Let x(j) = 36*j**5 - 99*j**4 + 99*j**3 - 15*j + 15. Let c(l) = 5*l**5 - 14*l**4 + 14*l**3 - 2*l + 2. Let v(n) = -15*c(n) + 2*x(n). Solve v(q) = 0.
0, 2
What is v in 21*v**3 + 3*v**4 + 21*v**3 - 42*v**3 + 3*v**5 = 0?
-1, 0
Factor 0 - 5/4*r**5 + 5/4*r**2 + 0*r + 5/4*r**3 - 5/4*r**4.
-5*r**2*(r - 1)*(r + 1)**2/4
Let c be 5 - 7/((-7)/(-3)). Let g(s) be the second derivative of 0 + c*s - 1/18*s**4 + 1/90*s**6 + 1/6*s**2 + 0*s**5 + 0*s**3. Find b, given that g(b) = 0.
-1, 1
Let z be 1/(-5)*(-25)/90. Let p(k) be the first derivative of -2/45*k**5 - 2 + z*k**4 + 0*k**3 + 0*k**2 + 0*k. Determine t, given that p(t) = 0.
0, 1
Suppose -a + 17 = 3*c + 7, -8 = -4*a + 4*c. Let t(f) be the first derivative of 1/16*f**a + 1/4*f + 1 + 1/4*f**3 + 3/8*f**2. Factor t(r).
(r + 1)**3/4
Let u(z) = 3*z**5 + z**4 - 2*z**3 - 11*z**2 + 9*z. Let j(k) = 5*k**5 + k**4 - 3*k**3 - 17*k**2 + 14*k. Let r = -8 + 16. Let y(s) = r*u(s) - 5*j(s). Factor y(v).
-v*(v - 2)*(v - 1)**2*(v + 1)
Let s = -8/3 - -4. Suppose s + 2/3*h**2 - 2*h = 0. What is h?
1, 2
Let z(g) be the first derivative of -g**3/6 + g**2/4 - 10. Factor z(o).
-o*(o - 1)/2
Let b(a) be the second derivative of -a**4/138 + 4*a**3/23 - 36*a**2/23 - 40*a. Factor b(v).
-2*(v - 6)**2/23
Let h(d) = 3*d - 3. Let f be h(3). Let k = f - 4. Let 0*o + 0 + 0*o**3 + 1/2*o**k - 1/2*o**4 = 0. What is o?
-1, 0, 1
Let i be (8/32)/((-1)/(-8)). Let -8*b**2 - 3*b - 5*b**3 + 2 - 3*b**3 + i*b + 3*b**3 = 0. Calculate b.
-1, 2/5
Let d(f) = -4*f**2 - 61*f - 253. Let m(u) = -u - 1. Let p(g) = -d(g) - 3*m(g). Let p(v) = 0. Calculate v.
-8
Let o = -5 + 1. Let w be (-9)/o + (-1)/4. Factor -8/3 - 8/3*s - 2/3*s**w.
-2*(s + 2)**2/3
Let u(m) = m**3 + m**2 - 2. Let o(z) = z**3 - z - 3. Let k(v) = -2*o(v) + 3*u(v). Factor k(n).
n*(n + 1)*(n + 2)
Let q = 13 + -13. Let z(a) be the second derivative of 1/60*a**5 + q*a**2 - a + 0*a**4 + 0 - 1/18*a**3. Find g such that z(g) = 0.
-1, 0, 1
Let n(j) be the first derivative of -j**7/70 - j**6/40 + j**5/20 + j**4/8 + 2*j**2 + 5. Let z(a) be the second derivative of n(a). Solve z(b) = 0.
-1, 0, 1
Suppose -4*a = 3*z - 371, a - 5*a + 5*z + 331 = 0. Let y = a + -443/5. Determine u, given that 2/5*u + 2*u**2 - y + 6/5*u**3 = 0.
-1, 1/3
Suppose -n = -5*o - 0*o + 31, n - 17 = -3*o. Let q be (15/6)/(10/o). Factor -q*d**2 + 0 - 1/2*d.
-d*(3*d + 1)/2
Let o(y) = 7*y**2 - 3*y - 15. Let g(h) = -h**2 - h + 1. Let x(v) = 10*g(v) + 2*o(v). Factor x(t).
4*(t - 5)*(t + 1)
Let g(y) = 4*y - 99. Let m be g(26). Let a(q) be the first derivative of 3 + q**3 - 3/5*q**m + q**6 + 3/2*q**2 + 0*q - 9/4*q**4. Determine z so that a(z) = 0.
-1, -1/2, 0, 1
Let d(h) be the second derivative of -h**4/12 - 5*h**3/3 - 25*h**2/2 - 13*h. Factor d(b).
-(b + 5)**2
Factor 1/3*k**3 + 1/3*k**4 + 0 - 1/3*k**2 - 1/3*k.
k*(k - 1)*(k + 1)**2/3
Let b(x) be the second derivative of -3*x + 1/16*x**4 + 0 + 0*x**2 - 1/8*x**3. Factor b(k).
3*k*(k - 1)/4
Let y be 3*4*3/(-9). Let c = y + 7. Find o such that 1 + 3 - 6 + o**2 + 2*o + c = 0.
-1
Let k(n) be the second derivative of -1/6*n**3 + 0*n**2 - 5*n + 0 + 1/6*n**4 - 1/20*n**5. Solve k(v) = 0.
0, 1
Let k be (-2)/(-3) + 8/(-30). Let t be 1 + (-56)/35 - -1. Let 0 + t*f**3 - 4/5*f + k*f**2 = 0. What is f?
-2, 0, 1
Let c(b) = -b + 1. Let r(g) = 3*g**2 + 5*g + 3. Let u(l) = -l**2 + l + 1. Let h(d) = r(d) - 6*u(d). Let j(t) 