*6 - 1/420*m**7 - m**2 + 0*m. Factor w(a).
-a*(a - 1)*(a + 3)**2/2
Let h(s) be the third derivative of 0*s**4 + 0*s + 0*s**3 + 1/6*s**6 + 7*s**2 + 0 - 1/12*s**5. Find q such that h(q) = 0.
0, 1/4
Let p(y) be the second derivative of 0 + 2/3*y**4 - 6*y**2 - 10/3*y**3 - 25*y. Solve p(c) = 0 for c.
-1/2, 3
Suppose 4*v - 2 = -3*w + 14, 4*w - 14 = 2*v. Factor 8*b - w*b**3 + 12*b - 16*b + 8 + 8*b.
-4*(b - 2)*(b + 1)**2
Let n = -33263/352 + -1/352. Let u = 96 + n. Find l such that -u*l**2 + 0*l + 3/2 = 0.
-1, 1
Let d(g) = 4*g - 4. Let u(k) = 8*k - 7. Let q(f) = 5*d(f) - 2*u(f). Let y be q(2). Suppose 3/2*j + 1/2*j**y + 1 = 0. What is j?
-2, -1
Let r(b) = 5*b**4 - 5*b**2. Let s(y) = y**4 + y**3 - y**2 - y. Let n(j) = -4*r(j) - 4*s(j). Factor n(h).
-4*h*(h - 1)*(h + 1)*(6*h + 1)
Let v(q) = 7*q**5 - q**4 + 142*q**3 - 137*q**2 - 4105*q - 8174. Let o(r) = -r**5 + r**4 + 2*r**3 + r**2 + r - 2. Let y(b) = 18*o(b) + 2*v(b). Factor y(j).
-4*(j - 8)**2*(j + 4)**3
Let q(t) be the first derivative of 27/2*t**2 - 11 - 3/4*t**4 - 15*t - 3*t**3. Solve q(d) = 0 for d.
-5, 1
Let b be (-28)/(-16)*(16/280 - 0). Let n(x) be the third derivative of 0*x + 0 + b*x**4 + 1/150*x**6 - 6/5*x**3 - 5*x**2 + 1/15*x**5. Let n(c) = 0. Calculate c.
-3, 1
Let k = -11921 + 11923. Factor 2/7*d + 1/7*d**k - 3/7.
(d - 1)*(d + 3)/7
Determine d, given that 34/13*d**2 - 32/13 + 34/13*d**3 - 32/13*d - 2/13*d**5 - 2/13*d**4 = 0.
-4, -1, 1, 4
Let m(n) = -3*n**3 - 7*n**2 + 19*n - 1. Let z(f) = -15*f**3 - 36*f**2 + 96*f - 3. Let s(c) = 21*m(c) - 4*z(c). Factor s(o).
-3*(o - 1)**2*(o + 3)
Let w(l) be the third derivative of -l**7/2100 + l**5/100 + l**4/30 - 2*l**3/3 + 11*l**2. Let z(r) be the first derivative of w(r). What is y in z(y) = 0?
-1, 2
Let i(s) be the second derivative of s**6/165 - 2*s**5/55 + s**4/11 - 4*s**3/33 + s**2/11 + 78*s. Factor i(v).
2*(v - 1)**4/11
Factor -a**2 + 2/3*a + 4 - 1/6*a**3.
-(a - 2)*(a + 2)*(a + 6)/6
Let m = 425 + -300. Factor -28*u**4 + 8*u**2 - 75*u**3 - 70*u**3 + m*u**3.
-4*u**2*(u + 1)*(7*u - 2)
Let q(c) be the second derivative of -c**7/28980 + c**6/8280 - 5*c**4/4 + 5*c. Let d(y) be the third derivative of q(y). Find f, given that d(f) = 0.
0, 1
Let i(u) be the third derivative of -u**6/3060 - u**5/170 - 5*u**4/204 + 7*u**3/6 - 12*u**2. Let b(k) be the first derivative of i(k). Let b(z) = 0. What is z?
-5, -1
Let u(p) be the first derivative of 56/3*p**2 + 8/3*p**4 + 16*p + 4/15*p**5 + 46 + 92/9*p**3. Let u(j) = 0. Calculate j.
-3, -2, -1
Let f = -22 - -13. Let l = -7 - f. Let 0 + 2/3*j**l - 7/3*j**4 + 0*j + 5/3*j**3 = 0. What is j?
-2/7, 0, 1
Let c(p) be the third derivative of 1/51*p**3 + 1/170*p**5 + 0 + 0*p - 1/68*p**4 + 13*p**2 - 1/1020*p**6. Factor c(g).
-2*(g - 1)**3/17
Let n(l) be the second derivative of -l**7/2940 + l**6/1260 + l**5/420 - l**4/84 - 5*l**3/3 - 12*l. Let s(a) be the second derivative of n(a). Factor s(i).
-2*(i - 1)**2*(i + 1)/7
Let i(l) = 3*l**3 + 2*l**2 - 13*l - 22. Let z be i(-4). Let g = 133 + z. Let 4/5*k + 18/5*k**2 + 0 + 14/5*k**g = 0. What is k?
-1, -2/7, 0
Suppose 18 = c - 2*c - 5*t, 12 = -2*c - 4*t. Find l such that -3*l + 5*l + 4*l**c - 6*l = 0.
0, 1
Let c(a) be the first derivative of -a**6/2 - 9*a**5/5 + 4*a**3 - 344. Factor c(r).
-3*r**2*(r - 1)*(r + 2)**2
Let c = 169/4 - 42. Let w be ((-9)/36)/(-1 + 0/(-4)). Solve 0 - c*r - w*r**2 = 0 for r.
-1, 0
Let k = -5351 - -16054/3. Suppose -3*s + 5*s = 0. Factor -1/6*a**4 + 0 + 0*a**2 + s*a - k*a**3.
-a**3*(a + 2)/6
Suppose -5*x + 8 = -3*x. Let y be -2*(-3 + (8 - 6)). Factor 4*q**3 - 160 + 160 - y*q**5 - 2*q**x.
-2*q**3*(q - 1)*(q + 2)
Let r(w) be the second derivative of -9*w + 5*w**2 + 8/3*w**3 + 2*w**4 - 7/15*w**5 + 0. Let t(j) be the first derivative of r(j). Factor t(m).
-4*(m - 2)*(7*m + 2)
Let f(l) be the first derivative of l**6/42 + 2*l**5/35 + l**4/28 - 382. Find s such that f(s) = 0.
-1, 0
Let n(i) = -12*i - 4. Let s be n(3). Let p be 93/(-124) + 2/(s/(-27)). Factor -1/5*a - 4/5*a**2 + p.
-(a + 1)*(4*a - 3)/5
Let t(f) be the second derivative of -2/3*f**3 - 4*f**2 + 0 + 1/3*f**4 + 6*f. Factor t(b).
4*(b - 2)*(b + 1)
Let m(p) = -p**2 - 19*p + 3. Let a be m(-19). Factor -3*d**2 + 2*d**4 + 2*d**4 - 3*d - d**4 + 3*d**a.
3*d*(d - 1)*(d + 1)**2
Let p be ((-9 - (-177)/9) + -11)/(1/(-9)). Factor 4/3*q**2 - 4/3 - 2/3*q**p + 2/3*q.
-2*(q - 2)*(q - 1)*(q + 1)/3
Let b(v) = v**2 - 18*v - 6. Let n(h) = -67*h - 93 + 6*h**2 - 62*h + 61 + 39*h. Let y(j) = -16*b(j) + 3*n(j). Factor y(t).
2*t*(t + 9)
Let z(l) be the second derivative of l**7/420 + l**6/90 + l**5/60 - 5*l**3/3 - 21*l. Let n(p) be the second derivative of z(p). Factor n(j).
2*j*(j + 1)**2
Suppose -12/5*l**5 - 512/5*l - 292/5*l**4 - 2392/5*l**3 - 1344*l**2 + 4096/5 = 0. What is l?
-8, -1, 2/3
Let d(f) be the first derivative of -f**4 + 128*f**3 - 4608*f**2 + 40. Solve d(x) = 0 for x.
0, 48
Suppose 0 = 2*z + 3*z - 15. Factor -7*m**3 - z*m**2 + 2*m**4 - m**2 + 11*m**3 - 2*m**3.
2*m**2*(m - 1)*(m + 2)
Let t(b) = -b**3 + 10*b**2 + 11*b + 2. Let g be t(11). Factor 6*w**g - 4*w + 2*w**5 + 0*w**3 - 6 - 6*w**4 + 2*w**3 + 6.
2*w*(w - 2)*(w - 1)**2*(w + 1)
Let z = -25 - -32. Let y be z*6/28*2. Suppose 0*p**2 - 1/6*p**4 + 0 - 1/6*p**5 + 0*p**y + 0*p = 0. What is p?
-1, 0
Let c(b) be the third derivative of b**7/840 - 3*b**6/160 + b**5/10 - 5*b**4/24 - 57*b**2. Factor c(m).
m*(m - 5)*(m - 2)**2/4
Suppose -445 = 7*t + 325. Let r = -879/8 - t. Suppose -1/8*c**2 + 0*c + r = 0. What is c?
-1, 1
Let h(z) be the first derivative of -z**4/2 - 2*z**3/3 + 23. Factor h(t).
-2*t**2*(t + 1)
Suppose -2*y + 2 + 32 = 0. Let j be (1 + -11)/(y - 19). Factor -33*a**5 + 29*a**j + 7*a - 4*a + 8*a**4 + a - 8*a**2.
-4*a*(a - 1)**3*(a + 1)
Let u(d) = d**3 - 26*d**2 + 29*d - 3. Let n be u(25). Factor 7 - 51*m - n*m - 37 - 10 - 28*m**2.
-4*(m + 5)*(7*m + 2)
Let g(a) be the first derivative of a**5 + 35*a**4/2 - 335*a**3/3 + 220*a**2 - 180*a + 378. Solve g(w) = 0 for w.
-18, 1, 2
Let h(o) be the third derivative of o**7/42 - 4*o**6/45 + o**5/30 + o**4/3 - o**3 + 4*o**2. Let m(c) be the first derivative of h(c). Factor m(x).
4*(x - 1)**2*(5*x + 2)
Let u = -295 - -298. Let z(c) be the third derivative of 3/2*c**4 - 4*c**u + 1/40*c**6 + 0*c + 0 - 3/10*c**5 + 4*c**2. Factor z(a).
3*(a - 2)**3
Let o(b) be the second derivative of b**4/114 - 2*b**3/57 - 15*b**2/19 + 139*b. Solve o(f) = 0 for f.
-3, 5
Factor 67627 + 93*d - 32*d**2 + 12*d**4 + 164*d**2 - 67603 - 3*d**5 + 78*d**3.
-3*(d - 8)*(d + 1)**4
Let m(a) be the first derivative of 0*a - 1/4*a**4 + 2/15*a**5 + 0*a**2 - 2/9*a**3 - 9. Determine z so that m(z) = 0.
-1/2, 0, 2
Let k = 134 + -930/7. Let f(h) = -h**2 - 19*h - 34. Let w be f(-17). Determine o, given that -k + 2/7*o**2 + w*o = 0.
-2, 2
Let w(u) = -16*u**2 - 49*u - 6. Let v(h) = -4*h**2 - 12*h - 2. Let o(l) = 22*v(l) - 6*w(l). Determine i, given that o(i) = 0.
-4, 1/4
Let s(j) be the third derivative of j**8/1344 - j**6/96 + j**4/24 + 121*j**2. Suppose s(m) = 0. What is m?
-2, -1, 0, 1, 2
Let h be (-4)/38 - 8448/(-8778). Let -4/7 - 2/7*y**2 - h*y = 0. What is y?
-2, -1
Let y = 211 + -208. Let x(o) be the second derivative of 0 - 1/4*o**4 - 2/3*o**2 + o - 10/9*o**y. Find a such that x(a) = 0.
-2, -2/9
Suppose 35 = -4*k + 11*k. Suppose -3*u + 6*u + 6 = -v, 10 = 2*v - k*u. Factor -2/3*o**3 + v + 4/3*o**4 + 0*o**2 + 0*o - 2/3*o**5.
-2*o**3*(o - 1)**2/3
Let v(h) be the first derivative of -2*h**4 - 58*h**3/3 - 7*h**2 + 29. Factor v(w).
-2*w*(w + 7)*(4*w + 1)
Suppose -1146 = -90*v - 365*v - 236. Let 1/4*q + 0 - 1/4*q**v = 0. What is q?
0, 1
Let v(h) be the second derivative of h**7/168 - h**6/24 + 9*h**5/80 - 7*h**4/48 + h**3/12 + 77*h. Factor v(p).
p*(p - 2)*(p - 1)**3/4
Let a(f) = -10*f + 224. Let m be a(22). Let i(j) be the first derivative of 2*j**2 + 6 + 4/3*j**3 + 0*j - 4/5*j**5 - j**m. Determine w so that i(w) = 0.
-1, 0, 1
Let r(q) = -5*q - 142. Let v be r(-29). Let b(x) be the first derivative of 2/15*x**v + 0*x - 2/25*x**5 + 1/10*x**4 - 1/5*x**2 + 5. Factor b(c).
-2*c*(c - 1)**2*(c + 1)/5
Let o(h) = -17*h - 2*h + 5*h**3 - h**2 + h**4 + 7*h. Let s(k) = -k**4 - 2*k**3 + k**2 + 6*k. Let t(r) = 4*o(r) + 7*s(r). Factor t(p).
-3*p*(p - 2)*(p - 1)*(p + 1)
Let b = -95 - -107. Let w be ((-8)/(-32))/(45/b + -2). Find f such that w*f**3 - 1/7*f - 2/7 - 4*