 l.
-2, -1, 0
Let u(o) = 17*o**2 - 62*o - 527. Let w(g) = 9*g**2 - 29*g - 264. Let k(n) = 4*u(n) - 7*w(n). Let k(c) = 0. What is c?
-4, 13
Let j(g) = 2*g**3 + 17*g**2 + 22*g + 11. Let l be j(-7). Let d(z) be the third derivative of -1/210*z**5 + 1/21*z**3 - 10*z**2 + 0*z + 0 + 0*z**l. Factor d(o).
-2*(o - 1)*(o + 1)/7
Let u(f) be the second derivative of f**9/19656 - f**8/1365 + f**7/420 - f**6/390 + 4*f**3 - 17*f. Let z(n) be the second derivative of u(n). Factor z(h).
2*h**2*(h - 6)*(h - 1)**2/13
Factor -3/4*m**2 + 1/4*m**3 + 1/2*m + 0.
m*(m - 2)*(m - 1)/4
Suppose 65*z - 66*z + 2 = 0. What is c in -z*c**4 - 20*c + 2*c**4 - 12*c**2 + 16 + 20*c**3 - 4*c**4 = 0?
-1, 1, 4
Let z(x) be the third derivative of -x**5/140 + 61*x**4/56 - 30*x**3/7 + 191*x**2. Determine w, given that z(w) = 0.
1, 60
Let z(u) = 2*u**4 - 6*u**3 - 14*u**2 + 19*u. Let b(v) = -v**4 + v**2 + v. Suppose -1 = 4*h - 5. Let q(d) = h*b(d) - z(d). Factor q(i).
-3*i*(i - 3)*(i - 1)*(i + 2)
Suppose 13 + 6 = -19*b. Let w be (-8)/8 - (-3 + b). Let 0 + 0*u**2 - 2/9*u**5 + 0*u**w + 0*u - 2/9*u**4 = 0. What is u?
-1, 0
Let l be 2 + (1 - -4) + -2. Suppose -2*p**3 + 4*p**4 + 5*p**5 - 3*p**5 - 4*p**l = 0. Calculate p.
0, 1
Let a(k) = 7*k**5 + 13*k**4 - 9*k**3 - 4*k**2 - 7*k. Let b(l) = l**5 + l**4 - l**3 - l. Suppose 37 = 6*v - 71. Let q(p) = v*b(p) - 2*a(p). Factor q(u).
4*u*(u - 1)**3*(u + 1)
Let m = -1307 + 3925/3. Factor -2*t**5 + 0 + 2/3*t**3 + 0*t - m*t**4 + 0*t**2.
-2*t**3*(t + 1)*(3*t - 1)/3
Let t(m) be the third derivative of -23/30*m**5 - 1/2*m**3 - 1/48*m**8 + 0*m - 9/20*m**6 + 0 + 21*m**2 - 31/210*m**7 - 19/24*m**4. Let t(k) = 0. Calculate k.
-1, -3/7
Factor 0 - 2/13*m**3 + 6/13*m**2 + 20/13*m.
-2*m*(m - 5)*(m + 2)/13
Let d(q) be the third derivative of q**6/240 - 13*q**5/60 - q**4/48 + 13*q**3/6 + 40*q**2. Determine h so that d(h) = 0.
-1, 1, 26
Let i(n) be the second derivative of -n**5/20 - 5*n**4/6 - 9*n**3/2 - 9*n**2 + 46*n - 3. Factor i(b).
-(b + 1)*(b + 3)*(b + 6)
Let -5190*y**2 - 3*y**4 + 38*y - 84*y - 618*y**2 - 264*y**3 + 46*y = 0. What is y?
-44, 0
Let h(c) = -10*c**2 + 346*c - 3233. Let k(y) = 5*y**2 - 172*y + 1616. Let l(r) = -4*h(r) - 7*k(r). Determine j so that l(j) = 0.
18
Let m(i) be the first derivative of 2 - 1/2*i**2 + 0*i - 1/3*i**3. Find b, given that m(b) = 0.
-1, 0
Let v(t) be the third derivative of -2/15*t**4 - 48*t**2 + 0*t**6 + 0*t**3 + 0 - 2/525*t**7 + 1/1680*t**8 + 4/75*t**5 + 0*t. Suppose v(m) = 0. Calculate m.
-2, 0, 2
Let i = -124 + 127. Suppose 0 = 4*h + 3*x + 6, 0 = -4*h + 8*x - i*x + 10. Factor 0*n**4 + h*n**2 + 0*n - 1/2*n**5 + 0 + 1/2*n**3.
-n**3*(n - 1)*(n + 1)/2
Factor -4/7*h**3 - 372/7*h**2 - 11532/7*h - 119164/7.
-4*(h + 31)**3/7
Let m be (-3)/(-1 + 4) + 4. Factor f**4 - 4*f**4 - m + 12*f + 12*f**3 - 57*f**2 + 39*f**2.
-3*(f - 1)**4
Suppose 6*y = 4 + 8. Find d such that -6*d + 7*d + 3*d + 2 + 2*d**y = 0.
-1
Let h(m) be the third derivative of -m**8/1512 - 2*m**7/315 - 52*m**2. Let h(a) = 0. Calculate a.
-6, 0
Factor 4*f + 24 + 1/6*f**2.
(f + 12)**2/6
Factor 4/3*i**3 + 676/3 + 36*i**2 + 260*i.
4*(i + 1)*(i + 13)**2/3
Find x such that -10*x**5 - 40*x + 35*x**4 - 35*x**4 + 30*x**4 - 150*x**3 + 140*x**2 + 35*x**4 = 0.
0, 1/2, 2
Let h be (-1)/3 + (-25)/(-3). Factor 9*w**3 - 16*w**3 - 20*w + 4*w**4 - 12*w**2 + 11*w**3 - h.
4*(w - 2)*(w + 1)**3
Let n(y) be the third derivative of y**5/630 + y**4/28 + 2*y**3/9 + 212*y**2. Suppose n(x) = 0. Calculate x.
-7, -2
Let l(t) be the third derivative of 1/105*t**7 + 0 + 0*t + 1/12*t**6 + 3/10*t**5 + 2/3*t**3 + 7/12*t**4 - 9*t**2. Solve l(g) = 0.
-2, -1
Let y(g) be the first derivative of -1/2*g**2 + 3 + 2*g + 1/24*g**3. What is w in y(w) = 0?
4
Suppose 2*v = -2*v - 20, 0 = -3*y - 3*v - 15. Let n(w) be the second derivative of -1/4*w**4 + y + 0*w**2 - 5*w - 3/10*w**5 - 1/10*w**6 + 0*w**3. Factor n(m).
-3*m**2*(m + 1)**2
Let y(i) be the first derivative of -4*i**3/3 - 14*i**2 + 72*i - 175. Factor y(t).
-4*(t - 2)*(t + 9)
Let d be (-4)/12*-1*0/(-1). Let n(o) be the third derivative of 2*o**2 + 0 + 1/20*o**5 - 3/8*o**4 + o**3 + d*o. Determine j so that n(j) = 0.
1, 2
Suppose -14*q = -11*q - 24. Let z = 6 + -4. Factor -z*i**2 - q - 2*i**2 - 6*i + 18*i.
-4*(i - 2)*(i - 1)
Let s(g) be the second derivative of -g**6/40 - 69*g**5/20 - 2205*g**4/16 - 2025*g**3/4 - 2*g - 254. Suppose s(b) = 0. What is b?
-45, -2, 0
Let j(d) = 18*d**3 + 4*d**2 - 18*d + 2. Let c(s) = 2*s**4 + 19*s**3 + 4*s**2 - 19*s + 3. Let p(k) = 2*c(k) - 3*j(k). Factor p(n).
4*n*(n - 4)*(n - 1)*(n + 1)
Let p(l) be the third derivative of -l**6/1800 + l**5/75 - 7*l**4/120 + 11*l**3/6 + 26*l**2. Let z(o) be the first derivative of p(o). Factor z(d).
-(d - 7)*(d - 1)/5
Determine f, given that -5/3*f**4 + 0 - 7*f**3 - 23/3*f**2 - 8/3*f + 1/3*f**5 = 0.
-1, 0, 8
Suppose -4*d = 2*m + 2, -5*m + 11 = -2*m - d. Factor -10*n**4 - 9*n**2 + 8*n**4 + 2*n + m*n**2 + 6*n**3.
-2*n*(n - 1)**3
Let q be -2*(-52)/(-32)*3/(156/(-8)). Solve -q + p + 2*p**3 + 7/2*p**2 = 0 for p.
-1, 1/4
Let v(y) = -7*y**4 - 16*y**3 - 48*y**2 - 64*y - 32. Let t(i) = -24*i**2 - 4*i**4 - 20*i + 0 - 5*i - 8*i**3 - 16 - 7*i. Let b(a) = 10*t(a) - 6*v(a). Factor b(j).
2*(j + 2)**4
Let r be (1 + -1)*(-4 - (-3)/1). Find c such that 93*c**4 + 12*c**2 - 96*c**4 + c**5 - 8*c - 2*c**3 + r*c = 0.
-2, 0, 1, 2
Determine j, given that -5*j - 8*j**2 + 70 - j - 70 = 0.
-3/4, 0
Let x(b) = -4*b**3 + 12*b**2 - 32*b + 24. Let m(g) = 5*g**3 - 12*g**2 + 33*g - 26. Let w(j) = -5*m(j) - 6*x(j). Find h, given that w(h) = 0.
-14, 1
Let n(p) = -17*p**5 - 151*p**4 - 539*p**3 - 203*p**2 + 14. Let o(c) = -c**5 - c**4 + c**3 - c**2 + 2. Let m(j) = -2*n(j) + 14*o(j). Find q such that m(q) = 0.
-7, -2/5, 0
Factor 9/8*v**3 + 3/2 - 15/8*v**2 + 3/8*v**4 - 9/8*v.
3*(v - 1)**2*(v + 1)*(v + 4)/8
Let o be 18 + -12 + 27/(-5). Suppose 3/5*f**3 + 0 + 0*f - 6/5*f**4 + o*f**5 + 0*f**2 = 0. What is f?
0, 1
Factor -17/5*o**2 - 2 - 2/5*o**3 + 29/5*o.
-(o - 1)*(o + 10)*(2*o - 1)/5
Let w(f) be the second derivative of 1/5*f**5 - 2/21*f**7 + 0*f**3 - 1/3*f**4 + 2/15*f**6 + 0 - 9*f + 0*f**2. Factor w(t).
-4*t**2*(t - 1)**2*(t + 1)
Let h(d) be the first derivative of 1/4*d**3 - 3/2*d**2 + 9/4*d - 17. Factor h(z).
3*(z - 3)*(z - 1)/4
Suppose -7*r + 5*r + 20 = 4*f, -4*r + 31 = 5*f. Let t(m) be the first derivative of -m**f + 0*m + 0*m**2 - 3 - 3/8*m**4. Factor t(d).
-3*d**2*(d + 2)/2
Factor 11/6*v**4 + 8 + 8*v**3 + 56/3*v + 1/6*v**5 + 52/3*v**2.
(v + 2)**4*(v + 3)/6
Let c(d) be the third derivative of -d**8/1680 - d**7/525 + d**6/300 + d**5/75 - d**4/120 - d**3/15 - 14*d**2 + 1. Determine w so that c(w) = 0.
-2, -1, 1
Let c(r) be the second derivative of r**5/80 + 11*r**4/48 + 5*r**3/3 + 6*r**2 - 15*r + 3. Suppose c(t) = 0. What is t?
-4, -3
Let z(v) be the third derivative of -42*v**2 + 5/3*v**3 - 15/8*v**4 - 1/6*v**6 + 0 + v**5 + 0*v. Solve z(t) = 0 for t.
1/2, 2
Let d(m) be the first derivative of m**8/840 - 17*m**7/1680 + m**6/36 - m**5/60 - 11*m**3/3 - 13. Let p(f) be the third derivative of d(f). Factor p(i).
i*(i - 2)**2*(4*i - 1)/2
Let v(m) be the first derivative of m**8/336 - m**7/210 - m**6/120 + m**5/60 + 3*m**2 + 25. Let n(f) be the second derivative of v(f). Factor n(a).
a**2*(a - 1)**2*(a + 1)
Suppose 0 = 4*c + 4*t - 44, 42 + 8 = 2*c - 5*t. Suppose 0 = -c*u - 0. Factor 0 + u*o**2 - 1/7*o**3 + 1/7*o.
-o*(o - 1)*(o + 1)/7
Let p(u) be the third derivative of -4*u**8/35 - 32*u**7/525 + u**6/150 + u**5/150 - 429*u**2 - 2*u. Determine m so that p(m) = 0.
-1/4, 0, 1/6
Let m(w) be the third derivative of 0 + 0*w**7 + 0*w - 1/96*w**4 + 0*w**5 + 0*w**3 + 1/240*w**6 - 6*w**2 - 1/1344*w**8. Suppose m(c) = 0. Calculate c.
-1, 0, 1
Let f(s) = -3*s - 17. Let a be f(-8). Suppose 18 - 3*n**2 - a*n + 6*n**2 - n - 7*n = 0. What is n?
2, 3
Let m = -21 - -35. Let -m + 9 + 4*u**2 - 16*u + 17 = 0. What is u?
1, 3
Suppose 0 = -219*r + 154*r. Factor 2/9*u + 1/9*u**4 - 2/9*u**3 - 1/9 + r*u**2.
(u - 1)**3*(u + 1)/9
Let a(r) = r**2 - 1. Let v(n) = 2*n**2 + 3*n + 1. Let q be ((-4)/6)/((8/(-3))/(-4)). Let h(b) = q*v(b) + 3*a(b). Factor h(g).
(g - 4)*(g + 1)
Let c be -6 + (-454)/(-30) + -9. Let s(p) be the second derivative of 1/10*p**4 + 0*p**2 - p - 1/75*p**6 + 0 + 0*p**5 - c*p**3. Suppose s(m) = 0. Calculate m.
-2, 0, 1
Let g(r) be the second derivativ