(s). Factor i(r).
2*r*(r - 1)*(r + 2)
Let s(h) = 3*h**4 + 7*h**3 + 2*h + 2. Let k(c) = 8*c**4 + 14*c**3 - 4*c**2 + 5*c + 5. Let i(o) = 6*k(o) - 15*s(o). Find j such that i(j) = 0.
-1, 0, 8
Suppose 4*r - 26*y + 10 = -28*y, r - 2*y = 10. Let b be (-1)/(21/(-6) + -1). Find a such that 2/9*a**4 + 2/9*a**3 + r - 2/9*a**2 - b*a = 0.
-1, 0, 1
What is j in -69*j**2 + 4 - 4 + 66*j**2 - 81*j = 0?
-27, 0
Let w(l) be the first derivative of 3*l + 0*l**2 - 1/48*l**4 - 1/6*l**3 + 6. Let i(q) be the first derivative of w(q). Determine d, given that i(d) = 0.
-4, 0
Let r(f) = -9*f - 450. Let w be r(-50). Let d(s) be the second derivative of -1/12*s**4 + 0 - 3*s - 1/24*s**3 + w*s**2 + 1/16*s**5. Factor d(l).
l*(l - 1)*(5*l + 1)/4
Suppose o + 26 = 27. Let f(g) = -g**3 + g**2 - g + 1. Let q(z) = -10*z**3 + 10*z**2 + 2*z + 14. Let j(t) = o*q(t) - 8*f(t). Let j(s) = 0. What is s?
-1, 3
Factor 2450/3 + 142/3*v**2 + 2/3*v**3 + 2590/3*v.
2*(v + 1)*(v + 35)**2/3
Let r(o) be the first derivative of o**6/780 + 2*o**5/195 + o**4/39 - 2*o**2 + 2. Let f(s) be the second derivative of r(s). Factor f(v).
2*v*(v + 2)**2/13
Let y(c) = c**3 - 103*c**2 + 211*c - 906. Let h be y(101). Suppose -5/3*x**4 + 1/3*x**2 + 7/3*x**h + 4/3 - 8/3*x + 1/3*x**5 = 0. What is x?
-1, 1, 2
Let p(w) be the first derivative of -2*w**5/75 + 7*w**4/15 - 98*w**3/45 - 981. Factor p(y).
-2*y**2*(y - 7)**2/15
Let v(n) be the first derivative of 4/3*n**3 + 0*n**2 + 30 + 1/4*n**4 + 0*n. Factor v(c).
c**2*(c + 4)
Let s = -1879 - -9412/5. Let -1/5*z**2 + z**5 + 4/5 - s*z**3 + 12/5*z - 3/5*z**4 = 0. What is z?
-1, -2/5, 1, 2
Let f(s) be the third derivative of s**6/120 + 13*s**5/60 - 29*s**4/24 + 5*s**3/2 - 4*s**2 - 63*s. Factor f(o).
(o - 1)**2*(o + 15)
Let i(j) be the first derivative of j**4/8 + 8*j**3/3 - 9*j**2 - 801. Factor i(f).
f*(f - 2)*(f + 18)/2
Let w(j) be the first derivative of 4*j**3/27 + 2*j**2/3 + 8*j/9 - 187. Factor w(d).
4*(d + 1)*(d + 2)/9
Let w(d) = -d + 14. Let u be w(7). Suppose u*c - c - 42 = 0. What is s in -3*s**2 + c*s**2 - s**2 + 75 + 30*s = 0?
-5
Suppose 1008*x = 1010*x. Let l(v) be the third derivative of x*v**3 - 1/4*v**4 + 0 - 1/20*v**5 + 0*v + 1/40*v**6 + 9*v**2. Factor l(m).
3*m*(m - 2)*(m + 1)
Let y(q) be the second derivative of q**6/2160 + q**5/240 - q**3/3 - 6*q. Let v(d) be the second derivative of y(d). Factor v(o).
o*(o + 3)/6
Let i(l) be the third derivative of -l**5/60 + 2*l**4/3 - 8*l**3 - 75*l**2. Factor i(r).
-(r - 12)*(r - 4)
Let b be 2 + (-3)/2 + 0. Let c = -2209/10 + 1107/5. Factor c*m + 0 - b*m**2.
-m*(m - 1)/2
Let d = -5 + 6. Suppose -d = -5*y + 14. Let -4*w - 6*w**2 + y*w**2 + 4 + 4*w**3 + w**4 - 2*w**4 + 0*w**4 = 0. Calculate w.
-1, 1, 2
Let 2*z**2 - 247*z + 2*z**2 + 2*z**5 + 0*z**3 - 6*z**3 + 247*z = 0. What is z?
-2, 0, 1
Let h(a) be the first derivative of 0*a**2 + 0*a**3 - 1/18*a**6 + 0*a - 2/15*a**5 - 1/12*a**4 - 10. Factor h(c).
-c**3*(c + 1)**2/3
Let n(p) be the first derivative of 4*p**3/3 + 6*p**2 + 105. Find c such that n(c) = 0.
-3, 0
Let s(f) be the second derivative of f**7/3360 + f**6/80 + 9*f**5/40 - 5*f**4/4 - 31*f. Let v(p) be the third derivative of s(p). Factor v(a).
3*(a + 6)**2/4
Suppose 4 = 5*x - n, 2*x + 31*n + 2 = 32*n. Factor 12/17*m**3 - 2/17*m**4 + 24/17*m - 26/17*m**x - 8/17.
-2*(m - 2)**2*(m - 1)**2/17
Factor 1/4*s**3 + 1/4*s**2 + 3/4 - 5/4*s.
(s - 1)**2*(s + 3)/4
Suppose 3*i = 4*f - 15, -25*i = 3*f - 23*i - 7. Determine j, given that -3*j - 3*j**2 + 0 - 3/4*j**f = 0.
-2, 0
Let t(p) be the second derivative of -3*p**7/49 + p**6/14 + 9*p**5/28 - 2*p**3/7 - 40*p. Suppose t(z) = 0. What is z?
-1, -2/3, 0, 1/2, 2
Suppose -2*q + 2*x + 7 = -7, -1 = q + x. Let p(c) be the third derivative of -1/30*c**5 + 0*c + 0*c**3 + 0 - q*c**2 - 1/6*c**4. Factor p(h).
-2*h*(h + 2)
Let t = -466 + 469. Let c(p) be the second derivative of -1/42*p**4 - 4/7*p**2 + 4/21*p**t + 7*p + 0. Factor c(u).
-2*(u - 2)**2/7
Let g(f) be the second derivative of 0*f**2 - 1/48*f**4 + 1/24*f**6 + 0*f**3 + 1/80*f**5 + 0 + 8*f + 1/56*f**7. Find u such that g(u) = 0.
-1, 0, 1/3
Let b be (-22)/(-8) - (3 + (-52)/16). Factor 14*j + 4*j**4 - 4*j**b + 2*j - 6*j**2 - 8*j**2 - 2*j**2.
4*j*(j - 2)*(j - 1)*(j + 2)
Let f be ((-2)/4)/(10/3140). Let r = -153 - f. Determine a, given that 0*a + 0 - a**3 - 1/3*a**r - 2/3*a**2 = 0.
-2, -1, 0
Let z(m) be the third derivative of m**5/570 + 7*m**4/228 - 8*m**3/57 - 39*m**2. Factor z(v).
2*(v - 1)*(v + 8)/19
Let m(a) = 4*a + 61. Let u be m(-14). Let j(d) be the third derivative of 0 + 1/8*d**3 + 0*d + 3*d**2 - 1/240*d**u - 1/48*d**4. Let j(i) = 0. What is i?
-3, 1
Suppose 1 = -h, 3*m - 2*h - 20 = 3*h. Solve 133*j - m*j**3 - 2 - 5*j**2 + 2 - 123*j = 0.
-2, 0, 1
Let o = -18 - -21. Solve -6*w**2 + w + 0*w - w - 3*w**o = 0.
-2, 0
Let y(h) be the third derivative of h**5/160 + 35*h**4/16 + 1225*h**3/4 - 2*h**2 - 16*h. Factor y(s).
3*(s + 70)**2/8
Suppose 3*g + 3*q = -2*q + 19, -5*g + 4*q = 30. Let i be (-1)/(((-7)/g)/(-7)). Factor 8*j**2 - i*j**4 + 5*j**2 - 3*j - 4*j**2 - 7*j**4 + 3*j**3.
-3*j*(j - 1)*(j + 1)*(3*j - 1)
Let g(d) be the first derivative of -2*d**4/5 + 38*d**3/15 + d**2 + 78. Find v, given that g(v) = 0.
-1/4, 0, 5
Let o(u) = -3*u**2 - 6*u + 3. Let c(i) be the third derivative of 0 + 5/24*i**4 - 1/2*i**3 + 0*i - 5*i**2 + 1/20*i**5. Let p(j) = 6*c(j) + 5*o(j). Factor p(f).
3*(f - 1)*(f + 1)
Let y(j) = -3 - j**3 + 6*j**2 - 3*j - 2*j + 0 + 5. Let c be y(5). Determine n so that -n**5 + 3*n**5 + 7*n**4 - n**c - 3*n**4 - 2*n**3 - 3*n**2 = 0.
-2, -1, 0, 1
Suppose 4*u = 5*n - n + 196, 233 = 5*u - 2*n. Let j = u + -43. Solve -1/2*s**3 + 1/2*s + 1/4*s**4 + 0 - 1/4*s**j = 0.
-1, 0, 1, 2
Let z(o) be the first derivative of -o**6/90 - 2*o**5/15 - 2*o**4/3 + 10*o**3/3 + 7. Let b(y) be the third derivative of z(y). Factor b(p).
-4*(p + 2)**2
Suppose 2*a = 6, -20 = -n + a + 3. Let p be (-400)/(-780) + 4/n. Determine y, given that -2/3 - p*y**2 - 4/3*y = 0.
-1
Let b(n) = 22*n**3 + 157*n**2 + 152*n - 48. Let c(o) = 144*o**3 + 1020*o**2 + 988*o - 312. Let r(d) = -32*b(d) + 5*c(d). Solve r(m) = 0.
-3, -2, 1/4
Let k(h) = -h**4 - 5*h**3 - 17*h**2 - 13*h - 2. Let t = 60 + -62. Let u(s) = -3*s**4 - 14*s**3 - 52*s**2 - 39*s - 5. Let o(g) = t*u(g) + 7*k(g). Solve o(v) = 0.
-4, -1
Let o(q) be the first derivative of -q**7/840 + q**6/120 - q**5/40 + q**4/24 + 14*q**3/3 + 14. Let v(z) be the third derivative of o(z). Factor v(n).
-(n - 1)**3
Let t(p) be the first derivative of 2*p**5/5 - 3*p**4/2 + 2*p**3/3 + 3*p**2 - 4*p - 10. Factor t(u).
2*(u - 2)*(u - 1)**2*(u + 1)
Let g(d) be the first derivative of d**4 - 568*d**3/3 + 10082*d**2 + 269. Suppose g(u) = 0. What is u?
0, 71
Factor 6*z**2 + 1012*z + 74840 + 125864 - 2804*z - 2*z**2.
4*(z - 224)**2
Let u be ((-4)/10)/(12/(-120)). Let g(r) be the third derivative of -1/80*r**5 - 3*r**2 - 1/24*r**3 + 1/32*r**u + 1/480*r**6 + 0 + 0*r. Factor g(j).
(j - 1)**3/4
Suppose 4*y = 2*r - 40, r + 3*r - 45 = y. Let d = r + -7. Solve 2*h + d + 1/3*h**2 = 0 for h.
-3
Let d(p) be the first derivative of 12 + 15*p + 25/2*p**2 + 5/3*p**3 - 5/4*p**4. Factor d(x).
-5*(x - 3)*(x + 1)**2
Let h(z) = 11*z**3 - 65*z**2 + 110*z - 8. Let j(p) = -7*p**3 + 43*p**2 - 73*p + 5. Let b(s) = -5*h(s) - 8*j(s). Factor b(o).
o*(o - 17)*(o - 2)
Let 36/11*o - 6/11*o**2 + 0 = 0. Calculate o.
0, 6
Let m(q) be the second derivative of -5*q**4/4 + 47*q**3/6 - 3*q**2 + q + 53. Factor m(z).
-(z - 3)*(15*z - 2)
Let j(c) = -c**3 + 9*c**2 - 9*c + 10. Let l be j(8). Factor 6 - 2 + 0*z**3 + l*z**2 - 2*z**3 + 2 + 10*z.
-2*(z - 3)*(z + 1)**2
Let g be 12*27/(-324) + 3. Factor g + 1/2*x**2 - 2*x.
(x - 2)**2/2
Suppose -8*n = -0 - 32. Let q be 2 - ((-24)/30)/((-2)/n). Factor -2/5*z**2 - q*z + 0.
-2*z*(z + 1)/5
Factor -9 + 33 + 4*b**3 - 20*b + 0*b**3 - 8*b**2 - 5 + 5.
4*(b - 3)*(b - 1)*(b + 2)
What is d in 24/7*d**2 + 108/7*d**3 + 48/7*d**4 + 6/7*d**5 - 114/7*d - 72/7 = 0?
-4, -3, -1, 1
Let s(x) be the first derivative of x**4/10 - 22*x**3/15 + 18*x**2/5 - 274. Factor s(w).
2*w*(w - 9)*(w - 2)/5
Let v(i) be the third derivative of 0*i + 0 - 1/10*i**4 + 0*i**3 + 1/100*i**5 - 22*i**2. Solve v(y) = 0.
0, 4
Let i = 80863/4 + -559333/28. Let c = 240 - i. What is f in c*f**2 + 0 - 3/7*f = 0?
0, 1
Let q = 106 + -97. Suppose -16 + 1 + 4*g**2 - 4*g - q = 0. What is g?
-