v(z). Factor x(p).
-p**3
Let f(z) = 12*z**2 - 3*z**2 + 3*z**2 + 0 + 9*z**3 - 11. Let h(g) = -g**3 - 1. Let v(x) = -f(x) - 5*h(x). Let v(y) = 0. What is y?
-2, 1
Factor 12*c**2 + 241*c - 2*c**3 - 10*c**2 - 237*c.
-2*c*(c - 2)*(c + 1)
Let l = 16/5 - 102/35. Let k(z) be the first derivative of l*z**2 - 4/21*z**3 + 0*z - 6. Solve k(p) = 0.
0, 1
Suppose 0 = -85*r + 215*r - 260. Factor 1/2 - r*b**2 - 3/2*b.
-(b + 1)*(4*b - 1)/2
Let b(r) be the third derivative of -r**7/840 - r**6/240 + r**5/80 + r**4/12 + r**3/6 + 270*r**2. Solve b(i) = 0.
-2, -1, 2
Let q(b) = -27*b + 272. Let p be q(10). Suppose 1/6*i**p + 23/6*i**3 - 7/6*i**5 - 5/6*i**4 - 8/3*i + 2/3 = 0. Calculate i.
-2, -1, 2/7, 1
Let n(v) be the third derivative of v**5/30 - 7*v**4/12 - 8*v**3/3 + 198*v**2. Factor n(t).
2*(t - 8)*(t + 1)
Let v(c) be the first derivative of -c**7/420 + c**6/120 - c**5/120 - 9*c**2/2 - 9. Let j(z) be the second derivative of v(z). Let j(k) = 0. What is k?
0, 1
Let l(w) = -3*w**5 - 6*w**4 + 13*w**2 - 5*w. Let k(b) = 3*b**4 + b + 2*b**5 - b - 7*b**2 + 3*b. Let v = 34 + -44. Let o(i) = v*k(i) - 6*l(i). Factor o(h).
-2*h**2*(h - 2)**2*(h + 1)
Suppose u + 4*w = -20, 668*w = -2*u + 666*w - 4. Suppose 3/4*v**u + 3/2*v**5 + 0*v - 3/4*v**2 + 0 - 3/2*v**3 = 0. What is v?
-1, -1/2, 0, 1
Let o(l) be the second derivative of 1/10*l**5 - 1/63*l**7 - 1/45*l**6 + 1/18*l**4 + 0*l**2 + 0 + 5*l - 2/9*l**3. Find r, given that o(r) = 0.
-2, -1, 0, 1
Let a(z) be the second derivative of -3*z**7/49 + 23*z**6/105 - 3*z**5/14 - z**4/14 + 4*z**3/21 + 25*z + 2. Factor a(n).
-2*n*(n - 1)**3*(9*n + 4)/7
Determine j so that -236/11*j**2 - 16/11 + 2*j**3 - 120/11*j + 98/11*j**5 + 252/11*j**4 = 0.
-2, -1, -2/7, 1
Suppose 5 + 4 = 3*u. Let l(n) be the first derivative of -4/3*n**u + 4*n + 2 - n**2 + 1/2*n**4. Determine i so that l(i) = 0.
-1, 1, 2
Let n(p) = p + 1. Let s(z) = -3*z - 18. Let o(w) = -4*n(w) - s(w). Let d be o(10). Let 0*y - 3/4*y**3 + 3/4*y**d + 0 + 1/4*y**2 - 1/4*y**5 = 0. Calculate y.
0, 1
Factor -2*k**4 - 3*k**3 - 66*k**2 + 57*k**2 + 14*k**4 - 3*k**4 + 3*k**5.
3*k**2*(k - 1)*(k + 1)*(k + 3)
Let w(r) be the second derivative of r**6/75 + r**5/50 + 2*r + 36. Factor w(m).
2*m**3*(m + 1)/5
Let f be 6/(-8)*(128/80 - 2). Let i(w) be the second derivative of 1/20*w**4 + 0*w**2 - 7*w - f*w**3 + 0. Suppose i(z) = 0. What is z?
0, 3
Suppose -v - 16 = 5*z - 10*z, -5 = 5*v. Let q = 116/15 - 22/3. Find u such that -1/5*u**2 + 0 + q*u - 1/5*u**z = 0.
-2, 0, 1
Let j(v) be the second derivative of 5*v**4/36 + 40*v**3/9 - 85*v**2/6 + 86*v. Factor j(g).
5*(g - 1)*(g + 17)/3
Let f(r) = -r**3 - 8*r**2 + 9. Let m be f(-6). Let l = m + 63. Factor -2/3*u + 2/9*u**3 + l*u**2 + 4/9.
2*(u - 1)**2*(u + 2)/9
Let v be -70*((-4)/1 + 5)/(-1). Let z = v - 68. Let 2/3 + 2/3*i**3 + 2*i**2 + z*i = 0. What is i?
-1
Let v(t) be the second derivative of t**6/200 - t**5/200 - t**4/20 + 11*t**3/6 - 11*t. Let g(d) be the second derivative of v(d). Factor g(o).
3*(o - 1)*(3*o + 2)/5
Let g(j) be the first derivative of j**4/3 + 8*j**3/3 - 90*j**2 + 1600*j/3 + 541. Factor g(l).
4*(l - 5)**2*(l + 16)/3
Factor 589*s**2 + 1 + 15*s - 1 + 5*s**3 - 569*s**2.
5*s*(s + 1)*(s + 3)
Let i be (1/(-5))/(3/(90/(-8))). Let k = -878 + 882. Factor 1/4*s**k + 1/4*s**2 - 1/2 + i*s - 3/4*s**3.
(s - 2)*(s - 1)**2*(s + 1)/4
Let z(a) = a**2 + 14*a + 2. Let n(d) = -d**2 + 2. Let c(w) = n(w) - z(w). Find b, given that c(b) = 0.
-7, 0
Let x(v) = 8*v**2 + 9*v - 63. Let c(i) = -4*i**2 - 4*i + 32. Let p(a) = -9*c(a) - 4*x(a). Factor p(h).
4*(h - 3)*(h + 3)
Let l = -89 - -271/3. Find q such that -4/3 + 1/3*q**2 - 1/3*q**3 + l*q = 0.
-2, 1, 2
Suppose -3*t + 8 = -t. Let g be t/(-4)*(1 - 5). Factor 1/2*s**g + 5/2*s**2 - 2*s**3 + 0 - s.
s*(s - 2)*(s - 1)**2/2
Let c be 48/(-64) - 9/(-24)*2. Let h(n) be the third derivative of 0*n - 2/15*n**6 - 8/15*n**5 - 2/3*n**3 - 5/6*n**4 + c + 4*n**2. Find a such that h(a) = 0.
-1, -1/2
Let y(q) = 6*q**3 - 11*q**2 + 46*q + 19. Suppose -11*s = -26 + 70. Let i(a) = -a**3 + 2*a**2 - 9*a - 4. Let h(x) = s*y(x) - 22*i(x). Factor h(g).
-2*(g - 3)*(g + 1)*(g + 2)
Let p(y) = -23*y**2 + 45*y + 68. Let s(d) = 15*d**2 - 30*d - 45. Let a(j) = -5*p(j) - 8*s(j). Let a(w) = 0. Calculate w.
-1, 4
Factor -98*y**3 - 57*y**3 + 56*y**2 - 32*y**3 - 9*y**3 - 4*y.
-4*y*(7*y - 1)**2
Let s be (-27 - (0 + 3)) + 3. Let j be (-106)/(-78) + (-9)/s. Find l, given that 4/13 + j*l + 10/13*l**2 = 0.
-2, -1/5
Let t be -1 - -1 - (-12)/4. Suppose -1293 = -4*g - w, -2*g - w + t*w = -654. Find i such that 111*i**2 + 243 - g*i - 36*i**3 + 55*i**2 + 3*i**4 - 4*i**2 = 0.
3
Let c = 54 - 53. Let s be 4/(3 + c)*18/8. Factor s*o**3 + 3/4 + 3/4*o - 15/4*o**2.
3*(o - 1)**2*(3*o + 1)/4
Find x such that -23 + 59*x**2 + 45*x**2 - 3*x**2 + 3*x**3 + 122 + 201*x + 4*x**2 = 0.
-33, -1
Factor 0 + 24/11*k**3 + 0*k + 12/11*k**4 + 2/11*k**5 + 16/11*k**2.
2*k**2*(k + 2)**3/11
Factor 3*g**2 + 8*g**3 - 9*g**3 - g**3 - g**3.
-3*g**2*(g - 1)
Let m(c) be the first derivative of -3/20*c**5 - 3/8*c**2 - 22 + 0*c + 3/16*c**4 + 1/4*c**3. Determine d so that m(d) = 0.
-1, 0, 1
Suppose 4*p - 20 + 8 = 0. Suppose -d + 0*m + 3*m = 3, 0 = -5*d + p*m + 9. Let -4 - 5*o**3 - 2*o**3 + 12*o - 4 + d*o**3 = 0. What is o?
-2, 1
Suppose 7*n - n - 18 = 0. Determine d, given that -10 - d**2 - 147*d**n + d**2 - 15*d + 152*d**3 = 0.
-1, 2
Let c(t) be the first derivative of 2*t**3/9 + 17*t**2/6 + 8*t/3 + 75. Factor c(d).
(d + 8)*(2*d + 1)/3
Suppose -188 + 347 + 58*r**2 + 3*r**3 - 197 + 17*r + 0*r**3 = 0. Calculate r.
-19, -1, 2/3
Suppose -c + 2*r = -5*c + 164, -4*r - 152 = -4*c. Let i be 28/c*12/7. Factor -1/5*v**2 - i*v - 9/5.
-(v + 3)**2/5
Let d = -3072/11 - -15371/55. Factor 1/5*x + d*x**2 + 0.
x*(x + 1)/5
Suppose 5*n + 2*o - 23 = 5*o, 2*o - 36 = -4*n. Let u be 8/14*n/1. Find y such that -2*y**2 - 3*y**4 + 6*y**2 + 0*y**2 - y**u = 0.
-1, 0, 1
Let q = -552 - -556. Let g(y) be the third derivative of 0*y**q - 4*y**2 + 0*y**3 + 0*y + 0 + 0*y**6 + 0*y**5 - 2/105*y**7. Factor g(m).
-4*m**4
Suppose -25*q**2 - 6*q + 10*q + 76*q - 15 = 0. What is q?
1/5, 3
Suppose 0 = 3*j + 1 + 14, -3*c - 5*j - 73 = 0. Let s = 19 + c. Find n, given that 9*n - 36*n**2 + 6 + 15*n**s - 6*n**3 + 12*n**2 = 0.
-1/3, 1, 2
Let c be (7/3)/((-1435)/(-410)). Factor -1/3*t**4 + c*t**3 + t**2 + 4/3 - 8/3*t.
-(t - 2)*(t - 1)**2*(t + 2)/3
Let p(d) be the second derivative of 55*d**7/42 + 15*d**6 + 269*d**5/4 + 295*d**4/2 + 470*d**3/3 + 60*d**2 - 2*d - 23. Solve p(b) = 0 for b.
-3, -2, -1, -2/11
Let g be (4/5)/((-46)/(-115)). Let t(s) = 6*s**2 + 39*s - 45. Let r(o) = -o**2 - 8*o + 9. Let p(v) = g*t(v) + 11*r(v). Factor p(f).
(f - 9)*(f - 1)
Let i be -15*52/390*(-1 + 0). Solve -2*d - 3/2 - 1/2*d**i = 0.
-3, -1
Let l be 804/440*2*1/6. Let s = l + -6/55. Let 0 - s*b**2 - b = 0. What is b?
-2, 0
Let j(t) = t**2 - 284*t - 4199. Let i(v) = v**2 + v + 1. Let x(m) = -6*i(m) + j(m). Find k such that x(k) = 0.
-29
Let o(a) be the second derivative of a**7/1260 - a**4/6 - 3*a. Let h(c) be the third derivative of o(c). Factor h(m).
2*m**2
Suppose -525 = -5*g - 0*g. Let w be (14/g)/((-2)/(-21)). Solve -w*i**2 - 2/5 + 9/5*i = 0 for i.
2/7, 1
Let w(g) = 26*g**2 - 10. Let n(r) = -5*r**2 + 2. Let p(c) = c**3 - 7*c**2 - 6*c. Let j be p(8). Let f(z) = j*n(z) + 3*w(z). What is s in f(s) = 0?
-1, 1
Let g(l) be the first derivative of l**3 + 6*l**2 - 50 - 3/4*l**4 - 12*l. Factor g(w).
-3*(w - 2)*(w - 1)*(w + 2)
Let u(i) = 2*i**2 - 4*i + 4. Let j be u(1). Let b(k) be the second derivative of -2*k + 0*k**4 + 0 - 1/20*k**5 - k**j + 1/2*k**3. Solve b(s) = 0.
-2, 1
Suppose 0 = 2*h - 17 + 13. Factor 5*u**3 - 410*u + 410*u - 5*u**h.
5*u**2*(u - 1)
Suppose 0 = 9*b - 13*b + 24. Let h(x) be the third derivative of 0*x + 0*x**4 - b*x**2 + 1/60*x**5 + 0*x**3 + 0 - 1/240*x**6. Factor h(a).
-a**2*(a - 2)/2
Let k(m) be the first derivative of 9*m**6/40 + 3*m**5/10 - 5*m**4/2 + 4*m**3 + 17*m**2/2 - 43. Let u(p) be the second derivative of k(p). Factor u(o).
3*(o + 2)*(3*o - 2)**2
Factor -66*r - 10*r**2 - 2/11*r**4 + 0 + 38/11*r**3.
-2*r*(r - 11)**2*(r + 3)/11
Let q(t) = -48*t**2 + 4272*t + 4320. Let r(d) = -7*d**2 + 610*d + 617. Let m(y) = -3*q(y) + 20*r(y). Find a, given that m(a) = 0.
-1, 155
Let u be ((-85)/34)/((-1)/(-22)). Let p be 1 + (u/6)/11. Factor 1/3 + p*n**2 - 1