= 0.
-1/5, 0
Let l(m) be the third derivative of -3*m**8/112 - m**7/70 + 9*m**6/20 + 3*m**5/2 + 17*m**4/8 + 3*m**3/2 - 49*m**2. Determine z, given that l(z) = 0.
-1, -1/3, 3
Let k be 2489/(-15)*(-140)/84. Let l = 277 - k. Factor 2/3*s**3 + 0*s + l*s**2 + 2/9*s**4 + 0.
2*s**2*(s + 1)*(s + 2)/9
Let z(u) = u**2 + 47*u - 94. Let l be z(-49). Find t such that -4/13*t + 14/13*t**l + 6/13*t**2 + 0 + 24/13*t**3 = 0.
-1, 0, 2/7
Factor 0*s + 0*s**2 - 2/9*s**5 + 10/9*s**4 - 8/9*s**3 + 0.
-2*s**3*(s - 4)*(s - 1)/9
Let f be (-5)/(-15) - (-2)/(12 - 0). Factor -u**2 + f*u + 1/2*u**3 + 0.
u*(u - 1)**2/2
Let b = -96 - -98. Suppose p**2 + 5*p - 3*p**b - p + 2*p = 0. What is p?
0, 3
Let g(b) be the third derivative of -b**5/75 - b**4/15 - 2*b**3/15 - 61*b**2. Factor g(y).
-4*(y + 1)**2/5
Factor -192*z + 190 + 43 - 2*z**3 + 15*z**2 + 21*z**2 + 23.
-2*(z - 8)**2*(z - 2)
Let o(q) = -q**2 + 25*q - 21. Let v be o(24). Let -2*n + 0*n**3 + 17*n + 3*n**2 - v*n**3 + 9 = 0. What is n?
-1, 3
Let y(c) be the second derivative of -1/6*c**3 - 1/80*c**5 + 1/12*c**4 + 0*c**2 + 0 - 6*c. Suppose y(q) = 0. Calculate q.
0, 2
Suppose -2*a = 5*m - 3, m - 4*a = 2113 - 2086. Find k, given that 2/3*k**4 + 4/3*k + 0 - 1/3*k**5 + k**m - 8/3*k**2 = 0.
-2, 0, 1, 2
Let t(u) = -2*u + 28. Let j be t(13). Let c(y) be the first derivative of -3/8*y**4 + 0*y**j + 0*y + 1/2*y**3 + 3. Suppose c(k) = 0. What is k?
0, 1
Let c(d) be the third derivative of d**8/10080 - d**7/2520 - d**6/180 - d**5/4 + 21*d**2. Let o(m) be the third derivative of c(m). Factor o(k).
2*(k - 2)*(k + 1)
Let c(u) be the third derivative of u**7/105 + 71*u**6/20 + 5041*u**5/10 + 357911*u**4/12 + 786*u**2. Factor c(r).
2*r*(r + 71)**3
Let l(r) be the first derivative of -2*r - 91*r**3 + 90*r**3 + 26*r - 9*r**2 - 45 + 6*r**2. Factor l(c).
-3*(c - 2)*(c + 4)
Let p(s) be the first derivative of s**3 + 42*s**2 + 156*s - 203. Factor p(u).
3*(u + 2)*(u + 26)
Suppose 1032 = -25*o + 1107. Suppose 3/4*i**2 - 3/4 - 1/4*i + 1/4*i**o = 0. What is i?
-3, -1, 1
Let k(d) be the second derivative of -3*d**6/80 - 11*d**5/80 + d**4/16 - 35*d**2/2 + 11*d. Let a(s) be the first derivative of k(s). Factor a(q).
-3*q*(q + 2)*(6*q - 1)/4
Let j(q) be the second derivative of -1/60*q**5 + 1/18*q**3 - 1/3*q**2 - 3*q - 13 + 1/18*q**4. What is t in j(t) = 0?
-1, 1, 2
Suppose 0 = -8*c + 1 + 239. Let f = c - -23. Factor 28*i**3 + 19*i**2 + 30*i + f*i**2 + 4*i**4 + 50*i + 32.
4*(i + 1)*(i + 2)**3
Suppose -89*x = 272*x - 217*x - 288. Let -3*r + 9/4*r**3 - 3/4*r**5 - 3/2*r**4 + 0 + 3*r**x = 0. Calculate r.
-2, 0, 1
Let y be 49/14*(-1 + 25). Let -12 - 192*w**3 - 42*w**4 - 27*w**3 + 21*w**4 - 21*w**5 - y*w - 90*w**4 - 201*w**2 = 0. What is w?
-2, -1, -2/7
Suppose -3*x + 14 = -4*d, -3*x + 11 + 8 = -5*d. Let h = 0 - x. Suppose -12*c**h + 11*c**2 + 0 + 2*c + 3 = 0. What is c?
-1, 3
Let q(o) be the second derivative of -o**6/240 - 3*o**5/80 - o**3/2 + 8*o. Let g(r) be the second derivative of q(r). Solve g(i) = 0 for i.
-3, 0
Let a(u) = 2*u**3 - 4*u**2 - u - 3. Let q(k) = 9*k**3 - 16*k**2 - 3*k - 13. Let g(x) = -26*a(x) + 6*q(x). Find s, given that g(s) = 0.
-2, 0
Factor -112 + 33*b**2 + 124*b - 66*b**2 - 8 + 29*b**2.
-4*(b - 30)*(b - 1)
Let j(p) be the third derivative of p**8/336 - 13*p**7/35 + 1597*p**6/120 - 247*p**5/5 + 361*p**4/6 + 27*p**2 + 2*p. What is f in j(f) = 0?
0, 1, 38
Let d(g) = 328*g + 15090. Let m be d(-46). What is u in -4/3*u**m + 4*u + 40/3 = 0?
-2, 5
Let a(z) be the second derivative of z**4 + 73*z**3/2 + 27*z**2 - 180*z. Factor a(y).
3*(y + 18)*(4*y + 1)
Let x(u) = 4*u**3 - 11*u**2 - 36*u + 27. Let k(p) = 3*p**3 - 13*p**2 - 37*p + 27. Let o(q) = -6*k(q) + 5*x(q). Factor o(m).
(m + 3)*(m + 9)*(2*m - 1)
Let w(k) be the third derivative of -k**7/840 - k**6/240 + k**5/30 + 3*k**4/16 + 3*k**3/8 - 14*k**2 + k. Factor w(y).
-(y - 3)*(y + 1)**2*(y + 3)/4
Let s(q) be the third derivative of 3*q**7/10 + 11*q**6/5 + 121*q**5/20 + 31*q**4/4 + 4*q**3 - 341*q**2 + q. Find n, given that s(n) = 0.
-2, -1, -4/21
What is x in -6*x**2 - 40 - 164*x + 0*x**2 + x**2 - 11*x**2 = 0?
-10, -1/4
Let m(q) = -7*q**4 - 3*q**3 + 7*q**2 - q - 2. Let v(r) = -8*r**4 - 4*r**3 + 8*r**2 - 2*r - 3. Let u = 35 - 33. Let h(w) = u*v(w) - 3*m(w). Factor h(f).
f*(f - 1)*(f + 1)*(5*f + 1)
Factor -983*c**2 + 1788*c**2 - 1872*c - 7609*c**2 - 192 - 10935*c**3 - 6561*c**4.
-3*(3*c + 1)*(9*c + 4)**3
Let p(g) be the first derivative of -g**5/10 - 15*g**4/8 - 2*g**3 + 7*g**2 - 204. Suppose p(b) = 0. What is b?
-14, -2, 0, 1
Let k be (163 - 160)/(((-6)/(-2))/((-1)/(-4))). Determine p so that k*p**2 - 3 - p = 0.
-2, 6
Factor 114*v + 1/3*v**2 + 9747.
(v + 171)**2/3
Let u(w) = -5*w**2 + 886*w + 1855. Let j(l) = -3*l**2 + 590*l + 1237. Let d(r) = 7*j(r) - 5*u(r). Factor d(a).
4*(a - 77)*(a + 2)
Let w(u) be the first derivative of 3/40*u**4 - 1/50*u**5 + 19 - 1/30*u**3 + 1/5*u - 3/20*u**2. Let w(l) = 0. What is l?
-1, 1, 2
Let h(l) be the third derivative of 5*l**8/168 + l**7/35 - 8*l**6/15 - 4*l**5/15 + 4*l**4 - 16*l**3/3 - 16*l**2 + 7*l. Find d such that h(d) = 0.
-2, 2/5, 1, 2
Let l be ((-8)/6)/(1100/(-150)). Find t, given that 4/11*t**3 - 2/11*t + 2/11 - 4/11*t**2 + l*t**4 - 2/11*t**5 = 0.
-1, 1
Factor -1/8*y - 3/8*y**3 + 5/4*y**2 - 3/4.
-(y - 3)*(y - 1)*(3*y + 2)/8
Let j(d) be the third derivative of 5/12*d**4 - 5/6*d**3 + 23*d**2 + 0*d + 0 + 1/4*d**5. Factor j(f).
5*(f + 1)*(3*f - 1)
Suppose 11*p - 5*p - 12 = 0. Factor 0*a**p - a**2 - 24 + a - 7*a + 4*a**2.
3*(a - 4)*(a + 2)
Let r(n) be the second derivative of n**4/36 + 10*n**3/9 + 6*n**2 + n - 213. Solve r(v) = 0 for v.
-18, -2
Suppose 6 = -87*a + 89*a. Factor 3*j**2 - 6 + 5*j - a*j + j.
3*(j - 1)*(j + 2)
Let t(f) be the second derivative of -4*f**7/21 + 6*f**6/5 + 6*f**5/5 - 5*f**4/3 - 3*f - 5. Find i, given that t(i) = 0.
-1, 0, 1/2, 5
Let n(o) = -o**3 + 20*o**2 - 73*o + 147. Let c be n(16). Factor 0*q**c + 0 - 4/9*q**2 + 1/9*q**5 + 1/3*q**4 + 0*q.
q**2*(q - 1)*(q + 2)**2/9
Let v(r) be the second derivative of 0 + 0*r**2 + 0*r**3 - 1/75*r**6 + 10*r - 1/15*r**4 - 3/50*r**5. Find x such that v(x) = 0.
-2, -1, 0
Suppose -2*s + a = -1, -17 = -5*s + s - a. Solve 13 + s*d**2 + 6 + 18*d + 11 - 3 = 0.
-3
Let l(q) be the first derivative of -q**6/3 + 6*q**5/5 - q**4/2 - 2*q**3 + 2*q**2 + 252. Solve l(u) = 0 for u.
-1, 0, 1, 2
Factor 9*k**3 + 607*k**4 - 604*k**4 - 51*k**3.
3*k**3*(k - 14)
Let l(g) be the first derivative of -g**3/4 - 17*g**2/8 - 6*g - 151. Let l(i) = 0. What is i?
-3, -8/3
Let p = -378 + 757/2. Factor p*t**2 - 2 - 2*t + 1/2*t**3.
(t - 2)*(t + 1)*(t + 2)/2
Let u(h) = h**5 - h**4 + h**3 - 2*h**2. Let z(g) = 20*g**5 - 8*g**4 - 44*g**3 - 100*g**2 - 24*g. Let d(t) = 12*u(t) - z(t). Suppose d(w) = 0. Calculate w.
-2, -1, -1/2, 0, 3
Suppose 3*o + 4*h - 8 = 0, -h - 20 = -6*o + 4*o. Suppose 0 = a + 8*a - o*a. Factor -4/13*m**3 + 2/13*m - 2/13*m**2 + a.
-2*m*(m + 1)*(2*m - 1)/13
Let d(g) be the first derivative of -1/12*g**3 - 25/4*g + 5/4*g**2 + 12. Find c such that d(c) = 0.
5
What is j in 4 - 196*j**2 - 205*j**2 + 406*j**2 - 24 - 4*j**3 - 20*j + 9*j**3 = 0?
-2, -1, 2
Let y(g) = 6*g**2. Let l be y(-1). Suppose 0 = -5*k + 3*k + l. Determine n so that -2/3*n**2 + 2*n**k - 2*n + 2/3 = 0.
-1, 1/3, 1
Let l(u) be the second derivative of u**4/12 + u**3/6 + 5*u**2/2 - 2*u. Let g(x) = x**2 + x + 3. Let t(n) = 5*g(n) - 3*l(n). Suppose t(m) = 0. What is m?
-1, 0
Let h(d) be the first derivative of d**4/12 - 5*d**3/9 + d**2/3 + 8*d/3 + 313. Factor h(x).
(x - 4)*(x - 2)*(x + 1)/3
Let f(q) = 7*q**3 + 34*q**2 + 131*q - 157. Let r(w) = 4*w**3 + 17*w**2 + 66*w - 78. Let s(l) = 3*f(l) - 5*r(l). Factor s(b).
(b - 1)*(b + 9)**2
Let r(g) = -g + 8. Let b be r(8). Let s(d) = d**3 - d**2 - d + 1029. Let c be s(b). Factor -252*q**3 - 39 + 39 - c*q**5 + 13*q**2 + 882*q**4 + 11*q**2.
-3*q**2*(7*q - 2)**3
Let x(n) be the second derivative of 3*n**2 + 3*n - 2*n**4 + 0 - 3/4*n**5 - 1/2*n**3. Factor x(j).
-3*(j + 1)**2*(5*j - 2)
Let j be (0*(-4)/(-12))/(-1) - 27. Let a be ((-2)/9)/((-18)/j)*0. Factor 0*f + 0*f**3 - 2/9*f**4 + a*f**2 + 0 - 2/9*f**5.
-2*f**4*(f + 1)/9
Suppose -2*y = 4*a - 6, 8*a - 3*y + 9 = 5*a. Let f(u) be the first derivative of 0*u + a*u**2 + 1 + 1/6*u**4 - 2/9*u**3. Solve f(b) = 0.
0, 1
Let r(a) be the second derivative of 0 + 5/3*a**4 + 1/2*a**