3*u**5/40 - 1030301*u**4/8 + 104060401*u**3/8 + 162*u**2. Find g, given that h(g) = 0.
101
Let p(r) be the second derivative of -1/5*r**5 - 2/15*r**6 + 0 + 0*r**3 + 7*r + 0*r**4 + 0*r**2. Factor p(s).
-4*s**3*(s + 1)
Let v(i) = 17*i**4 + i**3 - 4*i - 4. Let j(d) = -4*d**4 + d**3 + d + 1. Let s(x) = -20*j(x) - 5*v(x). Suppose s(u) = 0. Calculate u.
-5, 0
Factor -38/3*j**2 + 2/3*j**3 - 40 + 128/3*j.
2*(j - 15)*(j - 2)**2/3
Let g(u) be the second derivative of -u**4/54 + u**3/3 - 2*u**2 + u - 223. Factor g(t).
-2*(t - 6)*(t - 3)/9
Let f = 26183 - 183279/7. Factor -f*r**2 + 12/7*r + 0.
-2*r*(r - 6)/7
Factor -20*n**4 + 7*n**3 - 14*n**3 + 7*n**5 + 27*n**3 - 2*n**5.
5*n**3*(n - 2)**2
What is k in 54*k**3 + 6909*k**2 + 16*k**3 - 7269*k**2 + 5*k**4 = 0?
-18, 0, 4
Let t = -32 - -35. Solve 9*v - v + t*v**2 + 4*v = 0.
-4, 0
Let a(t) = t**2 + 4*t + 4. Let n(i) = -i**2 + i + 1. Let c(w) = 2*a(w) - 6*n(w). Let x be c(-1). Factor -x*y + 4*y + 0*y - 2*y**2 + 2*y**4 + 4*y**3.
2*y*(y - 1)*(y + 1)*(y + 2)
Factor 3*a**2 - 8*a**2 + 41*a - 4*a**2 - a**3 + 20 - 53*a + 2*a**3.
(a - 10)*(a - 1)*(a + 2)
Let i be (6/4*(-19)/(-38))/180. Let f(q) be the third derivative of i*q**5 + 0*q**3 + 0*q + 5*q**2 + 0 + 0*q**4. What is y in f(y) = 0?
0
Factor 2 + 8*o + 10 + 15*o**2 + 6*o + 3*o**3 + 10*o.
3*(o + 1)*(o + 2)**2
Let v(p) be the first derivative of 28/3*p**3 - 8*p - 6 + 10*p**2. Suppose v(x) = 0. Calculate x.
-1, 2/7
Let 88*d + 3*d + 4*d**2 - 2*d**2 + 63*d - 18*d = 0. What is d?
-68, 0
Let i be (3/(-2))/(702/(-18)). Let h(d) be the second derivative of -1/13*d**3 - 1/130*d**5 - 1/13*d**2 + 0 + d - i*d**4. Factor h(s).
-2*(s + 1)**3/13
Suppose 0 = 202*z - 221*z. Factor -2/3*p**3 + 1/3*p**4 + 0 + 0*p + z*p**2.
p**3*(p - 2)/3
Let g(p) be the third derivative of -p**5/100 - 23*p**4/20 - 529*p**3/10 + 23*p**2. Factor g(c).
-3*(c + 23)**2/5
Let w(f) be the first derivative of -f**4/2 + 8*f**3/3 - f**2 - 12*f - 64. Find h, given that w(h) = 0.
-1, 2, 3
Let r(a) be the second derivative of a**10/20160 + a**9/10080 - a**8/2240 + 11*a**4/12 + 6*a. Let k(w) be the third derivative of r(w). Let k(z) = 0. What is z?
-2, 0, 1
Let x(v) = -v**3 - 4*v**2 + 14*v + 5. Let b be x(-6). Let w(q) = -8*q**2 + 12. Let r(j) = j**3 - 17*j**2 - j + 24. Let z(o) = b*w(o) + 4*r(o). Factor z(g).
4*(g - 3)*(g - 1)*(g + 1)
Let n(x) be the third derivative of -x**7/1365 + 11*x**6/780 - 7*x**5/390 - 49*x**4/52 - 278*x**2. Factor n(v).
-2*v*(v - 7)**2*(v + 3)/13
Let o(v) = -v**3 - v - 115. Let g be o(0). Let q = g - -233/2. Find h such that 0 + h - 15/2*h**4 + q*h**2 - 7*h**3 = 0.
-1, -1/3, 0, 2/5
Let h be 50/(-3) + (-38)/(-57). Let f(y) = 5*y**2 - 24*y + 72. Let d(r) = 26*r**2 - 120*r + 360. Let c(g) = h*f(g) + 3*d(g). Factor c(b).
-2*(b - 6)**2
Let v be (-1065)/710*(-3 + 2/2). Let q(d) be the second derivative of -1/9*d**4 - 1/90*d**5 + 0 + 6*d - 4/9*d**2 - 1/3*d**v. Factor q(f).
-2*(f + 1)**2*(f + 4)/9
Suppose h - 19 = -4*w, -28 = -5*h + h - 4*w. Factor 0*q**3 - 1 - 5*q**4 - 10*q - 25*q**2 - 20*q**h + 1.
-5*q*(q + 1)**2*(q + 2)
Find a such that -1/10*a**4 + 1/10*a**3 - 1/10*a + 1/10*a**2 + 0 = 0.
-1, 0, 1
Let k(q) = q**4 + 11*q**3 - 10*q**2 - 64*q - 36. Let d(b) = -10*b**3 + 10*b**2 + 65*b + 35. Let y(w) = 4*d(w) + 5*k(w). Solve y(v) = 0 for v.
-2, -1, 2
Suppose 36*l - 3 + 3 = 0. Let p(m) be the second derivative of -m + 0*m**4 - 3/10*m**5 + 4/3*m**3 + 0*m**2 + l - 1/15*m**6. Factor p(f).
-2*f*(f - 1)*(f + 2)**2
Let w(v) be the first derivative of 10/21*v**3 - 3/7*v**2 - 1/14*v**4 + 6 - 2/35*v**5 + 0*v. Factor w(k).
-2*k*(k - 1)**2*(k + 3)/7
Factor -32/9*r**2 - 52/9 - 2/9*r**3 - 82/9*r.
-2*(r + 1)*(r + 2)*(r + 13)/9
Let i(c) = -3*c**2 - 4*c + 3. Let f(s) = -6*s**2 - 7*s + 6. Let g(b) = 2*b + 12. Let z be g(-8). Let o(p) = z*f(p) + 7*i(p). Determine a so that o(a) = 0.
-1, 1
Let c(k) be the second derivative of -k**4/6 - 11*k**3/3 + 6*k - 9. Solve c(r) = 0 for r.
-11, 0
Let t(p) be the second derivative of -p**5/5 - 2*p**4/3 + 16*p**3/3 + 3*p - 7. Factor t(d).
-4*d*(d - 2)*(d + 4)
Factor 1/2*j**5 - 4*j**4 - 5*j**2 + 0*j + 0 - 19/2*j**3.
j**2*(j - 10)*(j + 1)**2/2
Find h such that 7 + 4*h - 9*h - 5*h**5 - 342*h**3 - 10*h**4 + 20*h**2 - 17 - 332*h**3 + 684*h**3 = 0.
-2, -1, 1
Suppose 2*v = -4*w - 0*v + 22, -4*w - 3*v + 27 = 0. Suppose -w*a**2 - a**5 + 3*a**4 - a**3 - 177 + 2*a + 177 = 0. Calculate a.
-1, 0, 1, 2
Let s = -76 + 91. Factor -15 - 5*j**2 - s*j + 0 - 5*j.
-5*(j + 1)*(j + 3)
Let g(c) be the second derivative of -c**5/5 + c**4/3 + 20*c**3/3 + 16*c**2 - 187*c. Factor g(w).
-4*(w - 4)*(w + 1)*(w + 2)
Let c(g) be the second derivative of -1/40*g**5 - 9*g - 1/90*g**6 + 1/18*g**4 + 0 + 1/9*g**3 + 1/252*g**7 + 0*g**2. Solve c(x) = 0.
-1, 0, 2
Let m(x) be the third derivative of x**2 + 0*x**3 - 3 + 0*x**4 + 0*x + 1/20*x**5 + 1/120*x**6. Factor m(q).
q**2*(q + 3)
Let 4*p + 23/3*p**3 - 28/3*p**2 + 1/3*p**5 + 0 - 8/3*p**4 = 0. Calculate p.
0, 1, 2, 3
Find s such that -2*s**4 - 13 - 50*s + 114*s**3 - 54*s**2 + 121*s**3 - 3 - 257*s**3 = 0.
-8, -1
Let p be ((-17)/(-15) - 1) + (-206)/(-3090). Factor p*w**2 + 0*w - 1/2*w**3 - 1/10*w**5 + 0 + 2/5*w**4.
-w**2*(w - 2)*(w - 1)**2/10
Let m(f) be the first derivative of -5*f**3/3 - 5*f**2 + 22. Factor m(u).
-5*u*(u + 2)
Factor 10*c**2 - 2*c**3 + 2*c**2 - 4*c - 10*c - 2*c.
-2*c*(c - 4)*(c - 2)
Let z(v) = v - 7. Let x be z(9). Suppose x*j = j + 7. Factor -4*r**4 - 12*r**2 + 16 + j*r + 3*r - 10*r**3 + 2*r**4 - 2*r.
-2*(r - 1)*(r + 2)**3
Let z(h) be the first derivative of -h**3 - 177*h**2/2 - 342*h - 504. Suppose z(n) = 0. What is n?
-57, -2
Let k(i) = -6*i**2 - i - 1. Let n(p) = -p**2. Let g(o) = -k(o) + 3*n(o). Let u be g(-1). Factor -w - 4*w**2 - 2 - 4*w + 0 - w**u + 0.
-(w + 1)**2*(w + 2)
Suppose 6 = 4*a + 2. Let k(r) = -4*r**2 - 40*r - 36. Let h(p) = p + 1. Let c(o) = a*k(o) + 16*h(o). Factor c(b).
-4*(b + 1)*(b + 5)
Factor 2/9*s**3 + 52/9*s + 32/9 + 22/9*s**2.
2*(s + 1)*(s + 2)*(s + 8)/9
Let t be 2 + -60*(-50)/15. Factor 204*z**3 + 2*z**2 + z**2 - t*z**3.
z**2*(2*z + 3)
Let d(s) be the third derivative of 0*s**4 + 0*s**3 + 0 + 0*s - 1/135*s**5 - 11*s**2 + 1/540*s**6. Solve d(r) = 0 for r.
0, 2
Let r(c) = -c + 26. Let x be r(17). Let k be x/2 + (-6)/4. Solve -1/2 - 1/2*m + 1/2*m**2 + 1/2*m**k = 0.
-1, 1
Let z(c) = -c + 1. Let j = 62 + -65. Let d(a) = 35*a**2 + 48*a + 7. Let w(v) = j*z(v) - d(v). Suppose w(q) = 0. What is q?
-1, -2/7
Factor 4/11*j + 16/11 - 2/11*j**2.
-2*(j - 4)*(j + 2)/11
Let z = 61 + -56. What is x in -x**2 + 4*x - 2*x - z*x + x - 1 = 0?
-1
Let u(p) be the third derivative of p**7/840 + 13*p**6/480 - p**5/16 - 13*p**4/96 + 7*p**3/12 - 4*p**2 + 9. Suppose u(j) = 0. Calculate j.
-14, -1, 1
Let u = 64 + -60. Let b be (10 - 6)*2/u. Factor 6/13*d**b + 2/13 - 8/13*d.
2*(d - 1)*(3*d - 1)/13
Let x = -26 + 28. Factor -12*n**2 + 30*n**2 - 10*n - 13*n**x.
5*n*(n - 2)
Factor -63/4*b**2 + 3/4*b**3 + 54*b + 324.
3*(b - 12)**2*(b + 3)/4
Solve 40/7*q**2 - 4*q**4 + 24/7*q**3 - 4/7*q - 20/7*q**5 - 12/7 = 0.
-1, 3/5, 1
Factor -32 - 1/3*h**3 + 191/3*h - 94/3*h**2.
-(h - 1)**2*(h + 96)/3
Let m be -1 - (9 + 0)*-1. Let x(u) = u**3 + 15*u**2 + 14*u + 2. Let b be x(-14). Factor -7*q + 18*q + 9 - m*q + q**3 - 5*q**b.
(q - 3)**2*(q + 1)
Let p(j) be the first derivative of j**5/300 - j**4/60 + j**3/30 + j**2 - 13. Let n(h) be the second derivative of p(h). Factor n(s).
(s - 1)**2/5
Let x(j) = -j**2 + 8*j - 2. Let n be x(5). Factor -n + 17*d**2 - 5*d**2 + 17 + 12*d + 4*d**3.
4*(d + 1)**3
Let t(o) be the second derivative of -o**7/168 + o**6/5 - 9*o**5/16 + 11*o**4/24 + 128*o. Factor t(w).
-w**2*(w - 22)*(w - 1)**2/4
Let z(d) be the second derivative of d**7/105 - d**6/75 + 164*d. Factor z(l).
2*l**4*(l - 1)/5
Let n(f) = f - 12. Let o be 245/14*4/5. Let c be n(o). Factor -u**2 - u**c - 1 + 3*u**2.
(u - 1)*(u + 1)
Let a be (144/27)/(-4)*-3. Let o(x) be the first derivative of 1/3*x**2 + 2/15*x**5 + 1/2*x**a + 2/3*x**3 + 0*x + 8. Solve o(u) = 0.
-1, 0
Let f(o) be the first derivative of o**4/42 - 2*o**3/7 + 9*o**2/7 + 30*o - 35. Let g(a) be the first derivative of f(a). Suppose g(w) = 0. What is w?
3
Let h(o) = o**3 - 7*o**2 + o - 7. Let l be -1 + (6 - 1) + 3. Let k be h(l). Let -1 - 4 + 1 - a**2 + k - 4*a = 0. What is a?
-2
Factor -1/10*v**3 + 1/5*v**2 + 12/5*v + 0.
-v*(v - 