5)/(-2)*(-40)/(-25). Let v(j) be the third derivative of 1/15*j**5 + 0 + 3*j**2 + 1/12*j**u + 0*j**3 + 0*j + 1/60*j**6. Find h, given that v(h) = 0.
-1, 0
Let v be 0 + (4/(-22) - (-10)/55). Let r(d) be the first derivative of v*d - 3 - 1/6*d**2 - 1/9*d**3. Let r(w) = 0. Calculate w.
-1, 0
Let t(i) be the first derivative of -i**9/9072 + i**8/5040 + i**7/2520 - i**6/1080 + i**3 + 2. Let o(h) be the third derivative of t(h). Factor o(w).
-w**2*(w - 1)**2*(w + 1)/3
Determine u so that 0 + 1/4*u**2 - 1/4*u**3 + 1/2*u = 0.
-1, 0, 2
Suppose 2*z - 36 = -2*z. Suppose 3*y - 4*x = -2*x + z, 0 = 4*x. Find o, given that 3 + o**3 - 4*o**y - 1 - 2*o**2 - o + 4*o**3 = 0.
-1, 1, 2
Let l(w) be the first derivative of -9*w**6/14 + 36*w**5/35 + 69*w**4/28 - 54*w**3/7 + 54*w**2/7 - 24*w/7 - 15. Let l(m) = 0. Calculate m.
-2, 2/3, 1
Let x be (-10)/(-35) + (-4)/14*1. Determine b, given that -1/4*b**4 - 1/4*b + x - 3/4*b**3 - 3/4*b**2 = 0.
-1, 0
Factor 484/5 + 4/5*r**2 - 88/5*r.
4*(r - 11)**2/5
Let r(v) = -v. Suppose 2*d - 2 = -q, -5*q + 4*d - 28 = -q. Let g = q - -3. Let t(y) = y**3 + y**2 + y - 1. Let b(x) = g*t(x) - 2*r(x). Factor b(f).
-(f - 1)*(f + 1)**2
Let s(g) be the third derivative of -g**7/5460 + g**5/260 - g**4/78 + 5*g**3/6 - 8*g**2. Let y(u) be the first derivative of s(u). Find z, given that y(z) = 0.
-2, 1
Let f(t) = 9*t**2 + t - 1. Let w be f(1). Factor 3*k**4 + w*k**5 + 3*k**4 - 3*k - 6*k**2 - 6*k**5.
3*k*(k - 1)*(k + 1)**3
Let p be (-7)/(-21)*3*2. Suppose -1/2*i**p - 5/4*i**3 - i**4 + 0 + 0*i - 1/4*i**5 = 0. What is i?
-2, -1, 0
Let w(x) = x**2 - 2*x + 2. Let l be w(2). Suppose 6 = -c + 3*a, 0*c + l*c - 3*a + 3 = 0. Factor 0*o**2 + 2/7*o - 2/7*o**c + 0.
-2*o*(o - 1)*(o + 1)/7
Let p(u) be the first derivative of -5*u**3/3 - 5*u**2/2 + 23. Suppose p(b) = 0. What is b?
-1, 0
Let p(r) be the first derivative of -9*r**4/28 - 2*r**3 + 15*r**2/14 - 25. Factor p(y).
-3*y*(y + 5)*(3*y - 1)/7
Let h(r) be the second derivative of -r**7/1260 - r**6/180 - r**5/90 + r**3/2 - r. Let m(w) be the second derivative of h(w). Factor m(f).
-2*f*(f + 1)*(f + 2)/3
Let g(s) = s**3 + 2*s**2 - 4*s - 1. Let o be g(-3). Let v = 3 + -1. Solve 3 + 4*j - 6 + 1 - o*j**v = 0 for j.
1
Let a(t) be the third derivative of t**8/2520 + t**7/1575 - t**6/450 - t**5/225 + t**4/180 + t**3/45 + 35*t**2. Solve a(p) = 0.
-1, 1
Let z(k) be the first derivative of -2*k**3/3 - 9*k**2 + 20*k - 12. Determine c so that z(c) = 0.
-10, 1
Let g(o) be the third derivative of -o**8/16800 + o**7/6300 + o**6/1800 - o**5/300 + o**4/12 + 2*o**2. Let z(r) be the second derivative of g(r). Factor z(n).
-2*(n - 1)**2*(n + 1)/5
Let h(g) be the third derivative of -g**9/7560 + g**7/1260 - g**4/24 - 5*g**2. Let b(c) be the second derivative of h(c). Determine f, given that b(f) = 0.
-1, 0, 1
Factor 1/3*b**2 + 16/3*b + 64/3.
(b + 8)**2/3
Suppose 0 = -l - 3*l. Let a be 0 - l/((-1)/1). Find i such that 2/7*i**5 + a*i + 0*i**3 + 0 + 0*i**2 - 2/7*i**4 = 0.
0, 1
Let u(k) be the first derivative of -2/3*k**3 - 8/5*k**2 + 5 + 8/5*k. Solve u(w) = 0 for w.
-2, 2/5
Let d(l) be the second derivative of 2*l**6/105 + l**5/140 - l**4/21 - l**3/42 + 3*l. Solve d(n) = 0 for n.
-1, -1/4, 0, 1
Let o(i) be the third derivative of 0*i**3 + 0 + 0*i + 1/540*i**6 - 1/270*i**5 - 3*i**2 + 0*i**4. Determine w, given that o(w) = 0.
0, 1
Let s(d) be the third derivative of -d**5/300 - d**4/60 - d**3/30 - 7*d**2. Determine a so that s(a) = 0.
-1
Suppose 5*d - 40 = 4*v, 5*d - 3*v - 9 = 26. Suppose -4*b = -2*b - d. Determine f so that f**2 + 3*f**b - 6*f**2 - 2*f = 0.
-1, 0
Let f(q) be the third derivative of -1/90*q**6 + 1/105*q**7 + 0*q + 2*q**2 + 0*q**4 + 0*q**3 + 0 + 0*q**5 - 1/504*q**8. Factor f(s).
-2*s**3*(s - 2)*(s - 1)/3
Let u = 1/131 + 111/2620. Let p(x) be the second derivative of 2*x + u*x**5 + 0 + 1/2*x**2 - 1/12*x**4 - 1/6*x**3. Factor p(d).
(d - 1)**2*(d + 1)
Let g = -757 + 757. Factor g - 2/11*x**2 + 6/11*x.
-2*x*(x - 3)/11
Let g = -15 + 5. Let f = 12 + g. Factor 1 - i**f + 5/2*i - 5/2*i**3.
-(i - 1)*(i + 1)*(5*i + 2)/2
Let p(b) be the first derivative of -2*b**5/25 + 2*b**3/15 + 21. Determine c so that p(c) = 0.
-1, 0, 1
Let p(c) be the second derivative of -5*c**4/12 - 35*c**3/6 + 19*c - 1. Factor p(u).
-5*u*(u + 7)
Let p(c) = -c**2 + 20*c + 4. Let f(x) = x**2 - 13*x - 3. Suppose -10 = -4*q + 2*q. Let m(n) = q*p(n) + 8*f(n). Factor m(o).
(o - 2)*(3*o + 2)
Let a = -94 + 96. Let r(t) be the third derivative of -a*t**2 + 0 + 1/30*t**5 + 0*t + 1/168*t**8 + 0*t**3 + 1/20*t**6 + 1/35*t**7 + 0*t**4. Factor r(p).
2*p**2*(p + 1)**3
Let c(j) be the third derivative of -j**7/42 + j**6/3 - 4*j**5/3 - 26*j**2. Determine a, given that c(a) = 0.
0, 4
Let w = -33/5 + 7. Factor 2/5 + w*u**2 + 4/5*u.
2*(u + 1)**2/5
Let x(m) = 4 + 2 - 5*m**2 + 2*m + m**2. Suppose -26 = -2*z - 0*z. Let k(j) = 9*j**2 - 4*j - 13. Let u(p) = z*x(p) + 6*k(p). Factor u(d).
2*d*(d + 1)
Determine k so that -6*k - 1/4*k**2 - 1/4*k**4 - 4 + 3/2*k**3 = 0.
-1, 4
Let l(c) = -c**3 + 6*c**2 + 2. Let j be l(6). Let x = 15 - 11. Factor -5*d + x*d**2 + j*d - d**2.
3*d*(d - 1)
Let a(c) be the third derivative of 0 - 1/12*c**4 - 2*c**2 + 1/30*c**5 - 2/3*c**3 + 0*c. Factor a(k).
2*(k - 2)*(k + 1)
Factor 26/9*z**4 + 2/9 + 4*z**2 - 14/9*z - 44/9*z**3 - 2/3*z**5.
-2*(z - 1)**4*(3*z - 1)/9
Let y be (-132)/(-18) + 1/(-3). Let z = 9 - y. Let z + 3/2*a**2 - 1/4*a**3 - 3*a = 0. Calculate a.
2
Let f(r) be the first derivative of -1/5*r**2 + 3/5*r**4 + 0*r + 0*r**3 - 1 + 1/5*r**6 - 16/25*r**5. Find j, given that f(j) = 0.
-1/3, 0, 1
Let g be (6/(-4))/(2/(-4)). Factor -h**2 + 1 + h + h - h**g + h - 2*h.
-(h - 1)*(h + 1)**2
Let r(k) be the second derivative of -k**5/10 - k**4/2 - k**3 - k**2 + 10*k. Suppose r(g) = 0. What is g?
-1
Suppose 48*c = 45*c. Factor 0 + 1/2*n**3 + c*n + 1/2*n**2.
n**2*(n + 1)/2
Let r be 10/2 + (-1 - 1). Factor p**5 + r*p**2 - 4*p**5 - 9*p**4 + 3*p**3 + 6*p**4.
-3*p**2*(p - 1)*(p + 1)**2
Let m(u) = 4*u**5 - 3*u**4 - u**3 + 5*u + 5. Let b(z) = 4*z**5 - 3*z - z**3 + 4 + 7*z - 2*z**4 - z**5. Let d(k) = -5*b(k) + 4*m(k). Let d(f) = 0. What is f?
0, 1
Let h(f) be the third derivative of -f**9/90720 + f**7/2520 + f**6/540 + f**5/20 + 3*f**2. Let x(p) be the third derivative of h(p). Factor x(o).
-2*(o - 2)*(o + 1)**2/3
Suppose -4*u = 2*b - 524, -5*u - b + 5*b + 668 = 0. Let g be ((-1)/(-4))/(55/u). Factor -2/5 - 1/5*t**2 + g*t.
-(t - 2)*(t - 1)/5
What is s in 0 + 2/5*s**3 + 4/5*s**2 + 2/5*s = 0?
-1, 0
Let r(f) be the second derivative of -f**7/5880 - f**6/1260 - f**5/840 + f**3/6 - 2*f. Let a(t) be the second derivative of r(t). Factor a(b).
-b*(b + 1)**2/7
Let z be 3 + -4 + 4 - 0. Suppose 2*y - z*a + 3 = 13, 6 = -3*a. Factor -2/3*w + 1/3*w**3 - 1/3*w**y + 0.
w*(w - 2)*(w + 1)/3
Let v = -3955561049/651 - -6076133. Let p = v + 20/93. Find l, given that -12/7*l + 2/7 - 32/7*l**3 - 4/7*l**5 + p*l**4 + 4*l**2 = 0.
1/2, 1
Factor -8*t**2 + 13/2*t + 2*t**3 - 3/2.
(t - 3)*(2*t - 1)**2/2
Let m(k) be the second derivative of k**6/30 + k**5/40 - k**4/6 - k**3/4 + 2*k - 12. Let m(d) = 0. What is d?
-1, 0, 3/2
Let c = -22/133 - -598/399. Factor 0 + c*m**2 - 4/3*m.
4*m*(m - 1)/3
Let h = 4445/306 - 4/153. Let b = 15 - h. Factor -2*t - 2 - b*t**2.
-(t + 2)**2/2
Let u(a) be the first derivative of -a**3/3 + a**2 - a - 8. Determine z so that u(z) = 0.
1
Let m(v) be the second derivative of -1/9*v**3 + 5/72*v**4 - 2*v + 0 - v**2 + 7/180*v**5. Let y(n) be the first derivative of m(n). Factor y(k).
(k + 1)*(7*k - 2)/3
Factor 4*r**3 + 5*r**2 + 9*r - 23*r + r**3 - 11*r + 15.
5*(r - 1)**2*(r + 3)
Let j be (-8)/20 - (-34)/10. Factor -2*i + 0*i + j*i - 3*i + 2*i**3.
2*i*(i - 1)*(i + 1)
Suppose y - m + 9 = 0, 5*y - m = 1 - 42. Let h be 18/8 - 6/y. Factor -t**5 - 2*t**4 - 2*t**5 + 2*t**3 + 2*t**5 - 3*t**h.
-t**3*(t + 1)**2
Let y(w) = -w**2 + w - 1. Let b(v) = 3*v**2 - 4*v + 3. Let g(l) = -b(l) - 4*y(l). Let m be g(-1). Factor 9*j - m*j + 5*j**2 + 0 + 2.
(j + 1)*(5*j + 2)
Let p be 0/(-19) - (1 - 1/1). Factor -8/9 + 2/9*s**2 + p*s.
2*(s - 2)*(s + 2)/9
Factor -5 + 3*c**3 - 3*c**4 + 6*c**3 + 5.
-3*c**3*(c - 3)
Let z(b) be the third derivative of -b**5/180 + b**4/72 + b**3/9 - 12*b**2. Factor z(s).
-(s - 2)*(s + 1)/3
Let q(i) = 7*i**2 + 6. Let w(n) = -13*n**2 - 12. Let t(g) = -11*q(g) - 6*w(g). Let o(y