+ 442. Let d be h(-40). Let f(r) be the first derivative of 2*r**2 - 1/3*r**3 - 1/4*r**4 + d + 4*r. Factor f(p).
-(p - 2)*(p + 1)*(p + 2)
Let -10*p**3 - 16/5*p**4 + 24*p + 2/5*p**5 + 88/5*p**2 + 0 = 0. What is p?
-3, -1, 0, 2, 10
Let l(i) = 5*i + 46. Let n be l(-8). Let b(m) = -10*m**2 - 145*m - 1130. Let q(r) = -11*r**2 - 144*r - 1131. Let y(d) = n*b(d) - 5*q(d). What is f in y(f) = 0?
-15
Let b(k) be the first derivative of -5*k**4/12 + 15*k**3 - 85*k**2/2 + 227*k - 265. Let s(l) be the first derivative of b(l). Factor s(u).
-5*(u - 17)*(u - 1)
Let x(s) be the second derivative of 141*s**5/140 - 165*s**4/7 + 639*s**3/14 - 39*s**2/7 - 1396*s. Suppose x(b) = 0. What is b?
2/47, 1, 13
Factor 0 + 2/19*g**2 - 84*g.
2*g*(g - 798)/19
Let j = -1835 + 1838. Let h(x) be the third derivative of 0 + 10*x**2 + 2/5*x**6 + 18*x**4 + 18/5*x**5 + 0*x + 54*x**j + 2/105*x**7. What is o in h(o) = 0?
-3
Let f(z) be the first derivative of 486*z**6 + 10692*z**5/5 + 1971*z**4 - 3460*z**3/3 + 208*z**2 - 16*z + 1698. Let f(j) = 0. What is j?
-2, 1/9
Factor -2*r**2 + 12/13*r**3 + 0 + 14/13*r.
2*r*(r - 1)*(6*r - 7)/13
Let c(y) = y**2 - y. Let j(d) = 3*d**4 - 3*d**3 - 15*d**2 + 9*d. Let m be (-70)/8 + 5 + (-42)/8. Let v(n) = m*c(n) - j(n). Factor v(u).
-3*u**2*(u - 2)*(u + 1)
Let m = 836 + -1208. Let o = m - -372. Factor 0 - 4/17*d**4 + 2/17*d**5 + 4/17*d**2 - 2/17*d + o*d**3.
2*d*(d - 1)**3*(d + 1)/17
Let m(j) = -8*j**2 + 34*j - 26. Let h(l) be the first derivative of 58*l**3/3 - 120*l**2 + 182*l - 143. Let v(g) = -6*h(g) - 44*m(g). Factor v(w).
4*(w - 13)*(w - 1)
Let 0 - 181/6*n**3 + 1/2*n**5 - 2/3*n**4 + 56*n + 193/3*n**2 = 0. Calculate n.
-8, -2/3, 0, 3, 7
Let q be (3/2)/(45/(-60)) - -4. Suppose -5*n + 5*b = -30, -6 + 8 = -n - 3*b. Factor 37/6*i - 32/3*i**n - 26*i**q + 40*i**3 - 1/2.
-(i - 3)*(4*i - 1)**3/6
Let w(q) be the second derivative of q**4/18 - 2446*q**3/9 + 1495729*q**2/3 - 1839*q. Factor w(b).
2*(b - 1223)**2/3
Let -8*o**2 + 841*o - 6*o**3 - 367*o + 3*o**3 - 61*o**2 - 324*o = 0. Calculate o.
-25, 0, 2
Let p(t) be the first derivative of t**5/150 - t**4/90 - 2*t**3/45 + 80*t + 28. Let x(b) be the first derivative of p(b). Let x(y) = 0. What is y?
-1, 0, 2
Factor 1998 - 3/2*v**2 - 84*v.
-3*(v - 18)*(v + 74)/2
Let b = 6338 - 101405/16. Let z(q) be the second derivative of 3/2*q**2 + q**3 + 13*q + 0 + b*q**4. Factor z(p).
3*(p + 2)*(3*p + 2)/4
Determine g, given that 15905 + 120207 + 5*g**2 + 76268 + 219800 + 2940*g = 0.
-294
Let k(s) be the first derivative of -1/12*s**6 + 7/10*s**5 - 4*s**2 + 2*s + 25/6*s**3 - 19/8*s**4 - 24. Find b, given that k(b) = 0.
1, 2
Let n(r) be the second derivative of 3*r**5/5 + 153*r**4/4 - 509*r**3 - 396*r**2 - 2356*r - 2. Factor n(t).
3*(t - 6)*(t + 44)*(4*t + 1)
Let a(d) be the first derivative of -12*d**2 - 17 + 1/6*d**4 - 1/3*d**3 - 11*d. Let p(i) be the first derivative of a(i). Let p(w) = 0. Calculate w.
-3, 4
Let n(a) be the first derivative of 245/2*a**4 + 30*a**5 + 97 + 16/3*a + 1268/9*a**3 + 44*a**2. Suppose n(h) = 0. Calculate h.
-2, -1, -2/15
Suppose 4*o + 7 = 5*t + o, -3*o = 2*t + 14. Let n(b) = 12*b**3 + 34*b**2 + 48*b + 34. Let s(h) = h**3 + h**2 + 2. Let w(k) = t*n(k) + 8*s(k). Factor w(c).
-2*(c + 3)**2*(2*c + 1)
Suppose 36*g = 19 + 53. Let a = -89/3 - -30. Factor 0 + a*i - 1/3*i**g - i**4 - 5/3*i**3.
-i*(i + 1)**2*(3*i - 1)/3
Factor -512*a + 2*a**4 - 84*a**2 + 416*a + 46*a**3 + 32*a**2.
2*a*(a - 2)*(a + 1)*(a + 24)
Let x(t) = 7*t**2 + 30*t - 48. Let b(q) = -3*q**2 - 14*q + 24. Suppose -4*g - 12 = 0, -4*f = -3*f - 2*g. Let m(c) = f*x(c) - 15*b(c). Factor m(n).
3*(n - 2)*(n + 12)
Let n(x) = x**3 + 36*x**2 + 31*x + 81. Let p be n(-35). Factor 54*z**2 - 108 - 113 - z**3 - 243*z - 2*z**3 + p.
-3*z*(z - 9)**2
Let j(f) be the first derivative of -f**6 + 218*f**5/25 - 107*f**4/5 + 24*f**3/5 + 136*f**2/5 + 64*f/5 - 931. Solve j(m) = 0.
-2/5, -1/3, 2, 4
Let x(i) = -4*i + 1. Let a(g) = -g**2 - 2288*g - 1313317. Let k(t) = 5*a(t) + 5*x(t). Suppose k(u) = 0. Calculate u.
-1146
Let n(k) be the third derivative of 1/1470*k**7 + 45*k**2 + 0*k**3 + 0*k**4 + 0 + 0*k + 1/420*k**6 + 1/420*k**5. Factor n(q).
q**2*(q + 1)**2/7
Determine s, given that 5*s**5 + 137*s + 48 - 50*s**3 - 8*s**4 - 33*s + s**5 - 4830*s**2 + 4850*s**2 = 0.
-2, -1, -2/3, 2, 3
Let q(t) be the second derivative of t**7/21 + 23*t**6/15 - 3*t**5/5 - 65*t**4/3 + 181*t**3/3 - 69*t**2 + 2*t + 1037. Factor q(r).
2*(r - 1)**3*(r + 3)*(r + 23)
Let w(x) = x**2 + 18*x - 592. Let l be w(-35). Let v(b) be the first derivative of 3/4*b**4 - 12*b - 3 - 5*b**l + 12*b**2. Factor v(s).
3*(s - 2)**2*(s - 1)
Suppose 0 = 75*o - 84*o. Suppose o = -5*b - 5*r - 15, b - 6*r + 9 = -9*r. Factor 0*u + b*u**3 + 0 - 2/9*u**2 + 2/9*u**4.
2*u**2*(u - 1)*(u + 1)/9
Let v(t) be the first derivative of t**5/20 + t**4/2 + 5*t**3/6 - 30*t - 6. Let x(q) be the first derivative of v(q). Find y, given that x(y) = 0.
-5, -1, 0
Let k(c) be the second derivative of c**5/50 - 4*c**4/5 - 47*c**3/5 - 116*c**2/5 + 2*c - 1010. Let k(m) = 0. What is m?
-4, -1, 29
Factor 865*j**2 - 9383*j + 314*j**2 + 0*j**4 + 3*j**4 - 8017*j + 40368 + 150*j**3.
3*(j - 4)**2*(j + 29)**2
Let h(z) be the first derivative of -3/10*z**2 - 25 + 1/15*z**3 - 4/5*z. Solve h(b) = 0 for b.
-1, 4
Let h(u) be the first derivative of u**3/12 - 48*u**2 + 9216*u + 1130. Factor h(x).
(x - 192)**2/4
What is s in 328*s**2 + 32412005 + 108*s + 8*s**4 + 228*s**3 - 32412005 = 0?
-27, -1, -1/2, 0
Let d(j) be the second derivative of -7*j**5/160 + 227*j**4/48 - 383*j**3/48 - 4*j**2 + 2*j + 1516. Factor d(h).
-(h - 64)*(h - 1)*(7*h + 1)/8
Let k(c) be the second derivative of -11/3*c**4 + 1/10*c**5 - 226*c + 19/3*c**3 + 0 + 42*c**2. Factor k(n).
2*(n - 21)*(n - 2)*(n + 1)
Let o be (888/126 - 0) + (-2 - 5). Let q(p) be the first derivative of 0*p**3 - 14 + 0*p**5 - 1/21*p**2 + 0*p + o*p**4 - 1/63*p**6. Factor q(n).
-2*n*(n - 1)**2*(n + 1)**2/21
Let z = 130998 - 1438090/11. Factor 18/11 - 190/11*v**2 - z*v**3 + 156/11*v.
-2*(4*v - 1)*(19*v + 3)**2/11
Let y(w) = -5*w**2 - 8*w - 5. Suppose 0*f = 2*f + 4, 3*a - 4*f = 131. Let r = 38 - a. Let p(b) = -b**2 - b - 1. Let l(s) = r*p(s) + y(s). Solve l(j) = 0 for j.
-2, -1/2
Suppose 77 = 20*w - 163. Determine r so that 24*r**3 + w*r**2 - 10*r**3 - 12*r**3 + 8 + 18*r = 0.
-4, -1
Factor -75/4*j**2 - 3 - 12*j - 21/4*j**4 - 3/4*j**5 - 57/4*j**3.
-3*(j + 1)**3*(j + 2)**2/4
Factor 2/9*x**2 - 48 - 100/9*x.
2*(x - 54)*(x + 4)/9
Let b(q) be the first derivative of 8 - 17*q - 1/165*q**6 + 0*q**3 + 0*q**2 - 1/55*q**5 - 1/66*q**4. Let g(r) be the first derivative of b(r). Factor g(n).
-2*n**2*(n + 1)**2/11
Let z = 229/31920 - 2/665. Let u(t) be the third derivative of -1/12*t**3 + 0 - 12*t**2 + 0*t - 1/40*t**5 - 1/16*t**4 - z*t**6. Factor u(i).
-(i + 1)**3/2
Let t(y) = -y**5 - y**4 - y**3 - y**2 - y. Let v(w) = -2*w**5 - 2*w**4 - 16*w**3 - 28*w**2 - 15*w. Let a(u) = 3*t(u) - v(u). Determine x so that a(x) = 0.
-3, -1, 0, 4
Suppose 3*o = -g + 13 + 9, -3*g - 22 = -2*o. Suppose 4*b - 20 - o = 0. Factor 18*t + 5*t**4 + 12*t - b*t**3 + 50*t - 13*t**3 - 80.
5*(t - 2)**3*(t + 2)
Let o be 32/10*50/(-60)*9. Let d be (18 - (-1241)/(-68)) + (-14)/o. Factor 1/9*v**3 - d*v**2 + 1/3*v - 1/9.
(v - 1)**3/9
Let n be -34*(-2)/(-4) + 37920/1440. Solve n*m**3 + 80/3*m - 104/3*m**2 + 32/3 = 0 for m.
-2/7, 2
Let v(n) be the second derivative of -73/18*n**3 + 3 - 4*n + 4*n**2 + 1/12*n**4. Solve v(g) = 0.
1/3, 24
Let p = 6/667 + 1280/6003. Let n(j) be the second derivative of 0*j**2 + 15*j + p*j**4 + 0 + 1/18*j**3 + 4/15*j**5. Find w such that n(w) = 0.
-1/4, 0
Let f(n) = -n**3 - 7*n**2 - 2*n - 13. Let a be f(-7). Let -25*q**3 + 25*q - 1333*q**2 + 1331*q**2 + a + 1 = 0. What is q?
-1, -2/25, 1
Let q(j) = -38*j**2 - 77*j + 476. Let s(t) = -15*t**2 - 37*t + 238. Let v(k) = 2*q(k) - 5*s(k). Solve v(r) = 0.
14, 17
Let v(g) = -65*g + 2. Let y be v(-1). Factor 46*n**2 + 40 + 40 + y*n + 9*n - 50*n**2.
-4*(n - 20)*(n + 1)
Let -7*g**2 + 13*g**3 + 45*g**3 + 183 - 77*g**2 + 6*g**3 - 16*g - 135 - 12*g**4 = 0. Calculate g.
-2/3, 1, 2, 3
Let u be ((-231)/539)/((-42)/490). Factor 28*y**4 - 1/2*y**u - 392*y**3 + 0*y + 0*y**2 + 0.
-y**3*(y - 28)**2/2
Let l(v) be the third derivative of -6/13*v**3 - 7/780*v**6 + 0 + 0*v + 4/39*v**5 + 61*v**2 - 17/52*v**4. Su