- 97*a - 209. Let l(x) = 14*x**3 + 3*x**2 - 65*x - 139. Let r(p) = -7*l(p) + 5*w(p). Solve r(h) = 0.
-3, 4
Let z = 731/560 + -13/80. Suppose -z*l + 2/7*l**2 + 8/7 = 0. Calculate l.
2
Let v(q) be the first derivative of 0*q**3 - 1/16*q**4 + 1/2*q**2 + 4 + 0*q. Factor v(y).
-y*(y - 2)*(y + 2)/4
Let g = 1431 + -4292/3. Factor 1/3*a - 1/3*a**4 + 0 - g*a**3 + 1/3*a**2.
-a*(a - 1)*(a + 1)**2/3
Factor 2*d**2 - 9*d**2 - 5*d**3 - 6*d**2 + 20*d - 2*d**2.
-5*d*(d - 1)*(d + 4)
Suppose 3*s = -i + 9, 2*s - 17 = -0*s + 3*i. Suppose -2*z = -s - 2. What is m in -6*m**3 - 109*m**4 + 35*m**5 - 20*m**2 + 106*m**z - 6*m**4 = 0?
0, 2/7, 1, 2
Suppose 2*m = -2*z + 3*m + 9, m = 5*z - 18. Let s = z - -2. Solve s*h**2 - h**2 - 5*h**3 + 6*h**2 = 0.
0, 2
Factor -337*b - 102*b**2 + 62*b**2 + 2*b**3 + 329*b + 10*b**4.
2*b*(b - 2)*(b + 2)*(5*b + 1)
Let x(g) be the second derivative of -g**5/80 + g**4/3 - 29*g**3/24 + 7*g**2/4 - 66*g. Determine l so that x(l) = 0.
1, 14
Let t(b) be the second derivative of -b**4/16 + 3*b**3/4 + 15*b**2 - 29*b - 3. Suppose t(k) = 0. Calculate k.
-4, 10
Find w such that -86/7*w - 82/7*w**2 + 6/7*w**4 - 10/7*w**3 - 20/7 = 0.
-2, -1, -1/3, 5
Let z(c) be the first derivative of -2*c**3/9 - 61*c**2/3 - 40*c + 171. Find d such that z(d) = 0.
-60, -1
Let u(h) be the first derivative of 8*h**3/21 - 3*h**2/7 - 2*h/7 - 116. Find l such that u(l) = 0.
-1/4, 1
Let m(s) be the first derivative of 2/45*s**3 - 1/15*s**2 + 4 + 0*s. Factor m(u).
2*u*(u - 1)/15
Let i be 8 - (6 + (3 - 5)). Let q(u) be the second derivative of 1/9*u**3 - 2/3*u**2 + i*u + 1/15*u**5 + 5/18*u**4 + 0. Find v, given that q(v) = 0.
-2, -1, 1/2
Let n(b) = b + 11. Let z be n(-6). Suppose -4*k - 2*h + 18 = 0, 4*h - z = 3*h. Factor -4*p**2 + 2*p**2 + 2*p**2 + 12*p - 3*p**k.
-3*p*(p - 4)
Suppose -32 + 2/3*j**3 - 32/3*j**2 + 104/3*j = 0. Calculate j.
2, 12
Let x(i) be the second derivative of 0 + 9*i + 1/3*i**6 + 2/3*i**4 + 0*i**2 + 0*i**3 - 6/5*i**5. Factor x(d).
2*d**2*(d - 2)*(5*d - 2)
Factor 0 - 2/3*c**2 + 1/6*c**3 + 1/2*c.
c*(c - 3)*(c - 1)/6
Let o(h) be the third derivative of -h**5/15 + 88*h**4/3 - 15488*h**3/3 - 386*h**2 - 2*h. Factor o(r).
-4*(r - 88)**2
Let c be (-270)/360 + 34/24. Determine q so that -c*q**2 + 2/3*q**3 + 0 - 4/3*q = 0.
-1, 0, 2
Let l be (4/(-2) + 1 - -4) + -81. Let g be (1 + -1)*(7 + l/12). Find s such that g + 1/6*s**2 - 1/6*s = 0.
0, 1
Let p = 19/36 - 1/2. Let v(g) be the second derivative of 0 + 6*g - 1/120*g**5 + 0*g**2 - 1/36*g**3 + p*g**4. Factor v(m).
-m*(m - 1)**2/6
Let q(h) be the second derivative of h**5/30 + 55*h**4/36 + 3*h**3/2 + 184*h. Determine s so that q(s) = 0.
-27, -1/2, 0
Let w(u) be the second derivative of 0 - 8*u + 3/130*u**5 + 1/273*u**7 + 1/65*u**6 + 0*u**2 + 0*u**3 + 1/78*u**4. Determine q, given that w(q) = 0.
-1, 0
Let q(z) be the first derivative of 3*z**5/20 - 3*z**4/4 + 5*z**3/4 - 3*z**2/4 - 83. Factor q(m).
3*m*(m - 2)*(m - 1)**2/4
Let p(f) be the first derivative of 7 - 1/18*f**4 + 0*f + 0*f**3 + 2/45*f**5 + 0*f**2. Find x, given that p(x) = 0.
0, 1
Let a(k) be the second derivative of k**6/900 - 2*k**5/75 + 4*k**4/15 + k**3/6 + k. Let m(y) be the second derivative of a(y). Determine b so that m(b) = 0.
4
Let p(z) be the first derivative of 2 + 0*z - 1/4*z**2 + 7/12*z**3. Solve p(o) = 0.
0, 2/7
Let b(h) = 7*h**2 - 19*h - 5. Let n(o) = -8*o**2 + 19*o + 4. Let u(j) = 2*b(j) + 3*n(j). Factor u(m).
-(m - 2)*(10*m + 1)
Let x(f) = -3*f**4 - 11*f**3 - 19*f**2 - 11*f - 11. Let h(o) = 2*o**4 + 6*o**3 + 10*o**2 + 6*o + 6. Let i(b) = 11*h(b) + 6*x(b). Factor i(n).
4*n**2*(n - 1)*(n + 1)
Let b = -215 + 1508/7. Let n(p) be the first derivative of b*p**4 - 26/21*p**3 + 12/7*p**2 - 2/35*p**5 - 1 - 8/7*p. Suppose n(h) = 0. Calculate h.
1, 2
Let d be 1/3 + (-3)/9. Let m be (-8)/264*39 - -1 - (-48)/22. What is r in -1/2*r**2 + m + d*r = 0?
-2, 2
Let t(c) be the third derivative of -c**5/30 - 11*c**4/12 + 26*c**3/3 - 9*c**2 - 2*c. Suppose t(y) = 0. Calculate y.
-13, 2
Let y(m) = -5*m**5 - 33*m**4 - 3*m**3 + 163*m**2 - 3. Let t(f) = 10*f**5 + 67*f**4 + 7*f**3 - 327*f**2 + 7. Let x(a) = 3*t(a) + 7*y(a). Factor x(q).
-5*q**2*(q - 2)*(q + 4)**2
Suppose -4*o = 24 + 16. Let q be (-15)/25 - 26/o. What is g in 20/9*g**q - 2/9*g**5 - 10/9*g + 2/9 - 20/9*g**3 + 10/9*g**4 = 0?
1
Let d(s) be the first derivative of -s**6/10 + 12*s**5/25 - 9*s**4/10 + 4*s**3/5 - 3*s**2/10 - 193. Determine a so that d(a) = 0.
0, 1
Suppose -3*f - 5 = 5*j, 3*f + 5*j - j = -7. Let l(c) = 3*c + 17. Let m be l(f). Factor -5*o**3 + m*o - 9*o**2 + 11*o**3 + 3*o**2 + 0*o - 2*o**4.
-2*o*(o - 1)**3
Let x = -3099/2 + 1551. Factor 0 - 3*r**4 - x*r**5 - 3/2*r**3 + 0*r**2 + 0*r.
-3*r**3*(r + 1)**2/2
Let h = 105 + -97. Suppose 0*y - h*y = y. Suppose 1/4*n**2 + 3/4*n**3 + 0 + y*n + 1/4*n**5 + 3/4*n**4 = 0. Calculate n.
-1, 0
Determine c, given that 2/5*c**4 - 28/5*c + 8/5*c**3 - 6/5*c**2 - 16/5 = 0.
-4, -1, 2
Factor -718 - 4*u**3 + 4*u + 742 - 6*u**2 - 18*u**2.
-4*(u - 1)*(u + 1)*(u + 6)
Suppose 5*u + 5*y - 15 = 0, 2*u - 8*y - 6 = -3*y. Let -u*n**2 + 2*n**2 - 2*n**2 - 2*n**2 = 0. Calculate n.
0
Let b(q) be the second derivative of q**7/42 + 4*q**6/15 + 5*q**5/4 + 19*q**4/6 + 14*q**3/3 + 4*q**2 - 3*q + 5. Determine j so that b(j) = 0.
-2, -1
Let o(w) be the first derivative of 0*w - 14/15*w**5 + 14 - 8/3*w**4 - 8/9*w**3 + 0*w**2. Factor o(q).
-2*q**2*(q + 2)*(7*q + 2)/3
Factor 4/9*m**2 + 2/9*m**5 + 0*m - 2/3*m**3 + 0*m**4 + 0.
2*m**2*(m - 1)**2*(m + 2)/9
Let p = -2653/99 - -242/9. Factor -1/11*f**5 - 1/11*f**2 + 0 + p*f**4 + 0*f + 1/11*f**3.
-f**2*(f - 1)**2*(f + 1)/11
Factor 2/3*b**3 + 32/3*b + 8 + 14/3*b**2.
2*(b + 2)**2*(b + 3)/3
Suppose 5*b + 4*k = -10, -b + 2*k - 13 = 5*k. Suppose -11 = -b*t - f - 4, -2*t - 5*f = -19. Factor t + 0 + 23*l - 2*l**2 - 23*l.
-2*(l - 1)*(l + 1)
Let z be 18/18 + -4*(-14)/40. Determine o so that z*o + 2 + 2/5*o**2 = 0.
-5, -1
Suppose -5*r + 7 = -8. Determine x, given that 377*x + 45*x**r + 10 - 422*x + 35*x**2 - 10*x**2 - 35*x**4 = 0.
-1, 2/7, 1
Let v(i) = 2*i**3 - i**2 + i. Let z be (-15)/(-6)*2/5. Let a be v(z). Let a*b + 11*b**4 + 2*b**3 + 1 - 14*b**4 - 5*b + 4*b**5 - 3*b**5 + 2*b**2 = 0. What is b?
-1, 1
Let h(l) be the second derivative of 1/4*l**4 + 0*l**2 + 0 - 3*l**3 - 30*l. Let h(k) = 0. Calculate k.
0, 6
Let m(j) = -j - 2*j + 2*j. Let k(u) = -u**2 + 2*u - 4. Let z(w) = w**2 - w + 3. Let f(c) = 2*k(c) + 3*z(c). Let o(q) = 2*f(q) + 6*m(q). Solve o(g) = 0.
1
Let n = -21 + 25. Suppose -4*v - 16 = -n, -4*z + 149 = v. Suppose z*m**2 - 19*m**2 - 18 - 21*m**2 + 12*m = 0. What is m?
3
Let k(a) = a**3 + 23*a**2 + 34*a - 300. Let o(f) = -3*f**3 - 68*f**2 - 103*f + 900. Let x(b) = -17*k(b) - 6*o(b). Suppose x(r) = 0. What is r?
-10, 3
Let k = -10 + 11. Let i be (3 - 3) + k*2. Let p**4 + 10*p**4 - 2*p**5 - 7*p**4 - 4*p**i + 2*p = 0. What is p?
-1, 0, 1
Let g be ((-12)/36)/(15/(-36)). Factor -g*v + 2/5*v**2 + 2/5.
2*(v - 1)**2/5
Let g(j) be the third derivative of -j**8/196 + 16*j**7/245 - 13*j**6/56 + 5*j**5/28 - 3*j**2 + 4. Solve g(a) = 0 for a.
0, 1/2, 5/2, 5
Let m = -43 - -44. Let g be ((-16)/(-5) + -3)*(1 + m). Factor 2/5*d**3 + 0*d + 0 - g*d**5 - 2/5*d**2 + 2/5*d**4.
-2*d**2*(d - 1)**2*(d + 1)/5
Factor -6*s - 2*s**3 - 6*s**2 - 2/9*s**4 + 0.
-2*s*(s + 3)**3/9
Let a = -215 - -219. Suppose -13*y + 14*y + 2*b - 10 = 0, -a*y - 5*b + 25 = 0. Factor -1/3*v**2 - 1/6*v + 1/2*v**3 + y.
v*(v - 1)*(3*v + 1)/6
Let w(x) be the third derivative of 1/12*x**3 - 18*x**2 + 0*x + 1/20*x**5 - 7/48*x**4 + 0. Factor w(j).
(j - 1)*(6*j - 1)/2
Let w be (0 - -2) + 0/79. Factor -1/2*i**3 - 1/6*i + 0 - 2/3*i**w.
-i*(i + 1)*(3*i + 1)/6
Let h be ((-2)/(-130))/(((-84)/(-245))/(-3)). Let v = h + 451/260. Factor 2/5*q**3 + 6/5*q**2 - v + 0*q.
2*(q - 1)*(q + 2)**2/5
Let a(s) be the second derivative of -s**5/10 + 9*s**4/2 + s + 83. Suppose a(x) = 0. What is x?
0, 27
Let m be -3 + 4 + -9 + (-9 - -17). Let -x**3 + 0*x**4 + 1/2*x**5 + 0*x**2 + 1/2*x + m = 0. What is x?
-1, 0, 1
Let k(n) be the first derivative of n**6/3 - 2*n**4 - 4*n**3/3 + 3*n**2 + 4*n + 123. What is t in k(t) = 0?
-1, 1, 2
Suppose 16*b + 44 = 44. Let c(k) be the third derivative of b*k**4 + 0*k + 0*k**6 - 1/150*k**5 + 1/1050*k**7 - 9*k**2 + 1/30*k**3 + 0. Factor c(u).
(u - 1)**2*(u + 1)**2/5
Let f(u) be the second derivative