 c = 142 + z. Factor 0 - 10/13*b**c - 4/13*b.
-2*b*(5*b + 2)/13
Let a(q) be the first derivative of q**5/40 - 3*q**4/8 + 2*q**3 - 4*q**2 + 521. Factor a(n).
n*(n - 4)**3/8
Let w(t) be the third derivative of -t**6/40 + 3*t**5/20 - t**4/4 - 81*t**2. Factor w(c).
-3*c*(c - 2)*(c - 1)
Let n(d) = -d**4 + d**3 - 2*d**2. Let q(l) = 3*l**4 - 30*l**3 + 39*l**2. Let y(f) = 6*n(f) + q(f). Factor y(v).
-3*v**2*(v - 1)*(v + 9)
Let p be 9/(-12)*-4 - -6. Suppose 12 = 4*c - 5*x, c - 4*x - p = -2*c. Factor 7*d**4 + 3*d**5 - 12*d**c - 7*d**5 + 5*d**4 + d**2 + 3*d**2.
-4*d**2*(d - 1)**3
Let a(p) = -p**3 - 3*p**2 - 4. Let q be a(-5). Let y = q - 44. Factor 2*u - 4/5*u**2 + 4/5 - y*u**3.
-2*(u - 1)*(u + 1)*(5*u + 2)/5
Let k(j) be the third derivative of j**5/15 + 8*j**4/3 - 34*j**3/3 - 10*j**2 + 4. Factor k(b).
4*(b - 1)*(b + 17)
Let d(a) = -4*a + 3*a**3 - 16 + 16. Let b(n) = -5*n - 6. Let q(y) = 4*y + 5. Let t(w) = -5*b(w) - 6*q(w). Let r(v) = -d(v) - 4*t(v). Factor r(p).
-3*p**3
Factor -3200/11 - 2/11*f**2 - 160/11*f.
-2*(f + 40)**2/11
Let h(m) be the third derivative of -m**5/15 - 3*m**4/2 + 24*m**3 + 305*m**2. Factor h(u).
-4*(u - 3)*(u + 12)
Let w(q) be the third derivative of -q**8/112 - q**7/70 + q**6/10 + q**5/5 + 22*q**2. Suppose w(v) = 0. Calculate v.
-2, -1, 0, 2
Let j(i) = i**5 - 3*i**4 - i**3 + 5*i**2 + 4. Let w(q) = -q**5 + 3*q**4 + 2*q**3 - 6*q**2 - q - 5. Let c(r) = -4*j(r) - 3*w(r). Factor c(p).
-(p - 1)**4*(p + 1)
Factor -48*r**2 + 23*r**4 - 6*r**3 - 18*r**4 - 2*r**3 + 0*r**4 - r**4 - 56*r - 20.
4*(r - 5)*(r + 1)**3
Let p be -2*((-4)/10)/(24/20). Let t = 0 + p. Suppose -t - 26/3*s**3 - 8/3*s**4 - 14/3*s - 10*s**2 = 0. What is s?
-1, -1/4
Let n = 595 + -592. Let s(g) be the third derivative of 0*g**n - 1/140*g**7 + 0*g + 0 - 4*g**2 + 0*g**4 + 1/40*g**6 - 1/40*g**5. Suppose s(p) = 0. What is p?
0, 1
Let h(p) be the first derivative of 5*p**2 + 25/3*p**3 + 15/4*p**4 + 20 + 0*p. Factor h(f).
5*f*(f + 1)*(3*f + 2)
Let z(k) be the second derivative of 8*k**6/15 + 6*k**5 + 217*k**4/12 + 29*k**3/2 + 5*k**2 - 149*k. Factor z(u).
(u + 2)*(u + 5)*(4*u + 1)**2
Factor 88*z + 41 + 147 - 4*z**2 + 28 + z**2 + 14*z.
-3*(z - 36)*(z + 2)
Factor -5*v**3 + 20/3*v + 5/3*v**4 + 0*v**2 + 0.
5*v*(v - 2)**2*(v + 1)/3
Suppose 8*d = 9*d - 4. Factor -d*n**2 - 262*n - n**3 + 266*n + 2*n**3.
n*(n - 2)**2
Let d be (-1 + 5)*(-6)/(-4). Let i = d + 2. What is f in 0*f**5 - 12*f**3 + i*f**4 - 3*f**2 + 7*f**4 + 24*f - 12 - 3*f**5 - 9*f**3 = 0?
-1, 1, 2
Let t(w) = -12*w**3 + 2*w**2 + 10*w + 2. Let h(g) = -g**5 - 37*g**3 + 7*g**2 + 31*g + 7. Let d(b) = -2*h(b) + 7*t(b). Find o, given that d(o) = 0.
-2, -1, 0, 1, 2
Let t(w) be the second derivative of -w**7/210 - w**6/90 + 2*w**5/15 + 2*w**4/3 - w**3/3 - 14*w. Let x(f) be the second derivative of t(f). Factor x(d).
-4*(d - 2)*(d + 1)*(d + 2)
Let y = -52/501 + 605/1002. Factor -1/8*r**2 - y + 1/2*r.
-(r - 2)**2/8
Let r = -536 - -545. Let z(y) be the second derivative of 1/5*y**5 + 0*y**2 + 2/3*y**4 + 0 + 0*y**3 - r*y. Find m, given that z(m) = 0.
-2, 0
Let q(v) = v**2 - 1367*v - 93851. Let b(u) = -2*u**2 - u + 2. Let j(d) = 3*b(d) + q(d). Factor j(l).
-5*(l + 137)**2
Let w = -113695/13 - -8747. Let 10/13*m**2 - w*m - 2/13*m**3 + 8/13 = 0. Calculate m.
1, 2
Let y(b) be the first derivative of -5*b**3/3 - 435*b**2 - 37845*b + 10. Factor y(k).
-5*(k + 87)**2
Suppose -l + m = -2*l + 3, m - 9 = -3*l. Factor -l*g - 23*g + 0*g + g**2 + 169.
(g - 13)**2
Suppose 2 = 2*h - 26. Let t = -11 + h. Factor -4*g**t - g + 2 + 2*g**3 + 3*g**3 - 1 - g**2.
(g - 1)**2*(g + 1)
Suppose -12*b - 9*b**3 + 42*b**4 - 54*b**2 + 72 + 0*b**3 - 39*b**4 = 0. What is b?
-2, 1, 6
Let u(p) be the third derivative of 0 + 0*p + 0*p**3 + 1/120*p**5 + 2*p**2 + 0*p**4. What is w in u(w) = 0?
0
Let x(h) be the first derivative of 5*h**3/3 - 375*h**2 + 28125*h + 249. What is a in x(a) = 0?
75
Let o = 46 - 238/5. Let k = o + 2. Factor -8/5*j**3 + 0*j + 0 + k*j**2 + 6/5*j**4.
2*j**2*(j - 1)*(3*j - 1)/5
Let y be ((-9)/(225/(-55)))/((-52)/(-195)). Factor y*c - 3/2 + 51/4*c**3 - 15/4*c**4 - 63/4*c**2.
-3*(c - 1)**3*(5*c - 2)/4
Let k = 1425 - 3853/3. Let q = 141 - k. Factor -2/3*c - q*c**3 + c**2 + 0.
-c*(c - 2)*(c - 1)/3
Let o(l) be the second derivative of 26/35*l**5 - 28561/7*l**2 + 9*l - 169/7*l**4 - 1/105*l**6 + 0 + 8788/21*l**3. Factor o(q).
-2*(q - 13)**4/7
Let h(s) = -5*s. Let i be h(0). Suppose 0 = 3*o + 4*o - 21. Factor 0 + i*r**2 + 0*r**4 + 2/9*r - 4/9*r**o + 2/9*r**5.
2*r*(r - 1)**2*(r + 1)**2/9
Determine x, given that -1/2*x**2 + 11/3 - 65/6*x = 0.
-22, 1/3
Let b(w) be the third derivative of -w**6/24 + w**5/2 - 5*w**4/2 + 20*w**3/3 - 60*w**2. Solve b(z) = 0.
2
Let w = -9 + 3. Let y be ((-3)/2 - -1)*w. Factor -6*z**3 - 22*z**4 - 7*z**y + 13*z**4 + z**3 - 4*z**2.
-z**2*(3*z + 2)**2
Let o be 6/(-4)*26/(-39). Let u be (o - 2 - -4) + -1. Solve -12*p - 1 - 2 + 5 - 4 + 14*p**u = 0 for p.
-1/7, 1
Factor 2/7*h**2 + 142/7 - 144/7*h.
2*(h - 71)*(h - 1)/7
Let c(t) be the first derivative of 0*t - 2/25*t**5 - 3/10*t**4 + 2 - 4/15*t**3 + 0*t**2. What is j in c(j) = 0?
-2, -1, 0
Factor -30287*g + 76239 + 364934 - 3202*g - 3*g**3 + 549*g**2 + 239770.
-3*(g - 61)**3
Let t(p) = 5*p**2 - 15. Let h = 167 - 111. Let d be h/(-10) + 16/(-40). Let l(q) = -4*q**2 - q + 14. Let m(j) = d*l(j) - 5*t(j). Factor m(r).
-(r - 3)**2
Let w = 71/49 - 159/245. What is u in 2/5*u**2 + 7/5*u - w = 0?
-4, 1/2
Let c(i) = -i**2 - 13*i + 54. Let d be c(-15). Factor 15*k**2 + 8*k**5 + 4 + d*k + 66*k**3 + 34*k**3 - 36*k**3 + 41*k**2 + 36*k**4.
4*(k + 1)**4*(2*k + 1)
Suppose -t + 7 + 0 = 0. Suppose t - 1 = 3*a. Factor -a*c + c - 4*c + 3*c**2 + 2.
(c - 1)*(3*c - 2)
Suppose -75*v = -78*v. Factor -2/7*i**3 + 0 + v*i + 2/7*i**2.
-2*i**2*(i - 1)/7
Suppose 0 = 2*l - 3*l + 4. Suppose 0 = l*k - 0*m - m - 11, m = 5*k - 15. Factor 4*z**2 + k*z**4 + z + z**5 + 0*z - z + z + 6*z**3.
z*(z + 1)**4
Let c be (-12 - -6)*(-10)/20. Let o(f) be the first derivative of 0*f + c*f**2 + 1 - 3/4*f**4 + f**3. Factor o(l).
-3*l*(l - 2)*(l + 1)
Let y(r) = 8*r**3 + 16*r**2 + 3*r + 6. Let a(f) = -2*f**3 - 4*f**2 - f - 2. Let t(m) = -22*a(m) - 6*y(m). Factor t(p).
-4*(p - 1)*(p + 1)*(p + 2)
Let m(r) be the second derivative of r**9/120960 + r**8/26880 + r**4/3 - 4*r. Let x(g) be the third derivative of m(g). Factor x(z).
z**3*(z + 2)/8
Let f = -14/27 - -178/135. Let n(k) be the first derivative of 1/5*k**3 - f*k + 3 + 0*k**2 - 1/20*k**4. Factor n(g).
-(g - 2)**2*(g + 1)/5
Let m(z) be the third derivative of 5*z**8/112 - 9*z**7/70 - 7*z**6/40 + 9*z**5/20 + z**4/4 - 2*z**2 - 6. Determine i, given that m(i) = 0.
-1, -1/5, 0, 1, 2
Let s = 578 + -576. Let o(m) be the first derivative of m + 1/2*m**s + 8 + 1/12*m**3. Determine v, given that o(v) = 0.
-2
Let q(i) be the second derivative of i**5/120 - i**4/12 + i**3/4 + 46*i + 1. Factor q(o).
o*(o - 3)**2/6
Suppose 4*g - g - 2*i = 6, 2*g - 4*i - 4 = 0. Factor g*x + 1/2*x**2 - 5/2.
(x - 1)*(x + 5)/2
Solve 2/15*a**2 + 176/15 - 178/15*a = 0 for a.
1, 88
Let m(y) be the third derivative of -y**6/120 + y**5/20 - y**4/8 - 3*y**3 + 25*y**2. Let f(p) be the first derivative of m(p). Suppose f(w) = 0. What is w?
1
Suppose 4*s + 4*h - 19 = 5, 5*s - 2 = 2*h. Factor 1/3*k**s + 0*k - 1/3.
(k - 1)*(k + 1)/3
Determine t, given that -17/2*t - 7/2*t**2 - 9/2 + 1/2*t**3 = 0.
-1, 9
Factor 102/5*l - 8 - 13*l**2 + 21/5*l**4 - 1/5*l**5 - 17/5*l**3.
-(l - 20)*(l - 1)**3*(l + 2)/5
Let u be (-3 - -3)/(-3 + 1 + 0). Let z(v) be the second derivative of -1/6*v**3 + 6*v + u*v**2 - 1/36*v**4 + 0. Factor z(h).
-h*(h + 3)/3
Let z(v) be the third derivative of 1/5*v**3 + 7/40*v**4 - 1/25*v**5 + 0*v + 0 - 19*v**2. Find b, given that z(b) = 0.
-1/4, 2
Let p(j) = -5 + 2*j - j + 2 + 4 + j**3. Let q(c) = 7*c**3 - 6*c**2 + 11*c + 3. Let s(v) = -10*p(v) + 2*q(v). Determine w so that s(w) = 0.
1
Let p be 9/(65/25 - 2). Factor -p*q**2 - 15*q**2 - 16*q**2 - 12 - 46*q + 26*q**2.
-2*(q + 2)*(10*q + 3)
Let u(a) be the first derivative of -a**7/399 + a**5/95 - a**3/57 + 13*a + 12. Let j(h) be the first derivative of u(h). Factor j(q).
-2*q*(q - 1)**2*(q + 1)**2/19
Let f be (212/318)/(-1*(-2 - 5/(-3))). Suppose 4/3*a**f - 4/9*a**5 - 4/3*a**4 + 0 - 4/9*a**3 + 8/9*a = 0. What is a?
-2, -1, 0, 1
Suppose -45 = -3*p - 15. Let z(u) = -2*u**2 + 4*u - 