f -r**6/195 - r**5/130 + r**4/26 + 5*r**3/39 + 2*r**2/13 + 4*r. Factor i(j).
-2*(j - 2)*(j + 1)**3/13
Let z(d) = d. Let o(v) = v**2 - 5*v + 2. Let x(n) = o(n) + 6*z(n). Let t(i) = -3*i**2 - 3*i - 4. Let p(w) = 2*t(w) + 5*x(w). Find q such that p(q) = 0.
-2, 1
Let 2/5*n + 6/5*n**2 + 6/5*n**3 + 2/5*n**4 + 0 = 0. Calculate n.
-1, 0
Let d be (3/(-9))/(-1)*12. Suppose -d - 6*c**2 + 10*c**3 - 2*c**4 - 2*c + 6*c + 10*c - 12*c**2 = 0. What is c?
1, 2
Let u be (13/(546/600))/2. Factor u*x**3 + 128/7*x + 24/7 + 190/7*x**2.
2*(x + 3)*(5*x + 2)**2/7
Factor 2/7*p**2 + 18/7 - 12/7*p.
2*(p - 3)**2/7
Let y = 22 - 18. Determine x, given that 0*x + 0*x - x**2 - 3 + y*x**2 = 0.
-1, 1
Let z = -10 - -7. Let w(i) = -3*i**3 + 15*i**2 - 3*i - 7. Let q(h) = -h**3 + 7*h**2 - h - 3. Let y(k) = z*w(k) + 7*q(k). Solve y(m) = 0 for m.
-1, 0
Let x be ((-3)/15 + 0)/((-3)/10). Let l(t) be the second derivative of 0 + t**2 - 1/6*t**3 - 1/4*t**5 - x*t**4 - 3*t. Solve l(a) = 0.
-1, 2/5
Let x(n) be the first derivative of n**4/4 + 4*n**3/9 - n**2/2 - 4*n/3 - 1. Factor x(l).
(l - 1)*(l + 1)*(3*l + 4)/3
Factor 0*c**2 + c**3 - c**4 + 0*c + 0 + 1/4*c**5.
c**3*(c - 2)**2/4
Suppose 0 = -2*o + 3*l - 16, 4*o + 11 = l - 1. Let v be (-2 + 2)*o/4. Suppose 2/7*z**2 + 2/7*z + v = 0. What is z?
-1, 0
Let x = -763/1245 - 10/83. Let m = 43/45 + x. Factor 0 + 4/9*z**3 + 0*z + 2/9*z**2 + m*z**4.
2*z**2*(z + 1)**2/9
Suppose l - 8 = -l. Factor -2 + 2 - 4*o**5 + 2*o**5 + 2*o**l.
-2*o**4*(o - 1)
Let x(z) be the first derivative of 6 - 2/3*z**4 - 4/15*z**5 - 2/3*z + 5/6*z**2 + 1/3*z**3. Suppose x(o) = 0. Calculate o.
-2, -1, 1/2
Let k(j) be the second derivative of 0*j**2 - 5*j + 1/18*j**4 + 0 + 1/3*j**3. Let k(w) = 0. What is w?
-3, 0
Let x(q) be the first derivative of -q**4/4 + 4*q**3/3 - 5*q**2/2 + 2*q + 7. What is r in x(r) = 0?
1, 2
Let g(y) be the second derivative of -5*y**4/4 + 10*y**3/3 - 5*y**2/2 - 9*y + 3. Suppose g(x) = 0. What is x?
1/3, 1
Let d(a) be the third derivative of -a**8/1344 + a**7/210 - a**6/96 + a**5/120 + 4*a**2. Factor d(z).
-z**2*(z - 2)*(z - 1)**2/4
Let u(f) be the first derivative of 2*f**3/51 + 6*f**2/17 - 14*f/17 + 27. Factor u(h).
2*(h - 1)*(h + 7)/17
Let z be 1 + (-1 - 4 - -6). Let h(b) be the third derivative of 1/12*b**4 + 0*b - 1/60*b**5 - 3*b**z + 0*b**3 + 0. Solve h(k) = 0 for k.
0, 2
Let m = -1 - -7. Let d(w) be the second derivative of -1/90*w**m + 0*w**5 + 0*w**2 - 1/9*w**3 + 1/12*w**4 + 0 - 2*w. Factor d(c).
-c*(c - 1)**2*(c + 2)/3
Factor -10*z**2 + 15*z**3 + 0 - 10*z**4 + 5/2*z + 5/2*z**5.
5*z*(z - 1)**4/2
Suppose -12*o**2 + 12*o**2 + 4*o**3 + 12*o**2 = 0. What is o?
-3, 0
Let n(w) be the third derivative of -w**6/300 - 4*w**5/75 - 7*w**4/20 - 6*w**3/5 + 12*w**2. Factor n(m).
-2*(m + 2)*(m + 3)**2/5
Suppose -3*j - 33 - 48 = 0. Let v be (-72)/j + 1/3. Factor -5/4*r**v + 0 - 1/4*r**2 - r**4 + 0*r.
-r**2*(r + 1)*(4*r + 1)/4
Let g be 2*(-2)/(-4) - -2. Factor 2*p**3 - p**2 + 5*p**g - 2*p + p**3 + 0*p**2 - 5*p**4.
-p*(p - 1)**2*(5*p + 2)
Suppose 15 = 4*d - d. Let j(f) be the third derivative of -7*f**4 + 0*f + 8/3*f**3 + 49/5*f**d + 0 - 343/60*f**6 - f**2. What is p in j(p) = 0?
2/7
Factor 2*p**5 - 16*p + 4*p**2 - 4*p**4 + 8*p + 8*p - 2*p**3.
2*p**2*(p - 2)*(p - 1)*(p + 1)
Let y(x) = 2*x + 12. Let k be y(-8). Let o(n) = -n**3 - 4*n**2 + n + 4. Let u be o(k). Determine q so that -q**2 - 1/3*q - q**3 + u - 1/3*q**4 = 0.
-1, 0
Factor 6*h - 255*h**4 - 11*h**2 + 122*h**4 + 17*h**3 + h**5 + 126*h**4 - 6*h**2.
h*(h - 3)*(h - 2)*(h - 1)**2
Suppose -2*o**3 + 7/4*o**2 + 3*o + 3/8*o**4 - 9/8 = 0. Calculate o.
-1, 1/3, 3
What is g in 10/9*g + 8/9*g**2 + 4/9 + 2/9*g**3 = 0?
-2, -1
Let u(q) = -2*q**3 + 4*q**2 + 2*q + 4. Let f(k) = -4*k**3 + 8*k**2 + 3*k + 7. Let p(v) = 4*f(v) - 7*u(v). Factor p(h).
-2*h*(h - 1)**2
Let n(t) be the first derivative of 1/4*t + 1/20*t**5 - 4 - 1/6*t**3 + 1/8*t**2 + 1/24*t**6 - 1/8*t**4. Let n(b) = 0. Calculate b.
-1, 1
Let m(l) be the third derivative of l**8/1512 - l**7/945 - l**6/270 + l**5/135 + l**4/108 - l**3/27 + l**2. Factor m(f).
2*(f - 1)**3*(f + 1)**2/9
Suppose s = 3*s - 4*t, -t = 5*s - 22. Find h such that 1/3*h + 1/3*h**5 - 2/3*h**3 + 2/3*h**2 - 1/3 - 1/3*h**s = 0.
-1, 1
Let k(o) be the third derivative of o**8/336 - 19*o**7/1470 + o**6/56 - o**5/420 - o**4/84 - 5*o**2. Factor k(w).
w*(w - 1)**3*(7*w + 2)/7
Let y(k) be the second derivative of -k**7/120 - k**6/120 - 5*k**4/12 - 6*k. Let b(t) be the third derivative of y(t). Factor b(d).
-3*d*(7*d + 2)
Let m(u) = -4*u**2 + 3*u. Let a(w) be the second derivative of -7*w**4/12 + 5*w**3/6 - 5*w. Let s(c) = 6*a(c) - 10*m(c). Determine p so that s(p) = 0.
0
Factor -16*r**2 - 4*r**3 - r**3 + 57 - 11*r - 59 - 2*r**3.
-(r + 1)**2*(7*r + 2)
Suppose -112 + 800*p - 441*p**2 + 247*p**3 - 1043*p**2 - 51*p**3 = 0. What is p?
2/7, 7
Let t(d) = 3*d + 2. Let c be t(2). Suppose -s = 5*u + 4, 5*u + 0*u + 2*s = -c. Solve u*z**3 + 2*z + z**2 + 0*z - z**3 = 0 for z.
-1, 0, 2
Let i = -1181/456 - -50/19. Let m(w) be the third derivative of 3*w**2 + 0 - i*w**5 + 0*w + 0*w**3 + 1/24*w**4 + 1/80*w**6. Factor m(q).
q*(q - 1)*(3*q - 2)/2
Let y(z) = z**3 + 9*z**2 + z + 13. Suppose 2*i - 18 = 4*i. Let b be y(i). Find r, given that -8*r**3 - b*r**2 - 2*r + 4*r**3 + 0*r**4 - r**2 - r**4 = 0.
-2, -1, 0
Let z(c) be the third derivative of c**5/30 - 5*c**4/6 + 25*c**3/3 + 5*c**2. Let z(p) = 0. What is p?
5
Let r(x) = 18*x**3 + 11*x**2 + 5. Let l(m) = 45*m**3 + 27*m**2 + 12. Let t(q) = -5*l(q) + 12*r(q). Factor t(b).
-3*b**2*(3*b + 1)
Let c(t) = 7*t**2 + 12*t - 11. Suppose -68 = 4*u + 28. Let x(w) = w**2 + w - 1. Let k(z) = u*x(z) + 3*c(z). Solve k(g) = 0.
1, 3
Factor -54/11*i**3 - 54/11*i**2 - 2/11*i**5 + 0 - 18/11*i**4 + 0*i.
-2*i**2*(i + 3)**3/11
Let f(x) = -7*x**2 + 9*x + 3. Let l(n) = -6*n - 4 + 10*n**2 - 16*n + 9*n. Let v(d) = 7*f(d) + 5*l(d). Factor v(y).
(y - 1)**2
Let m(k) be the third derivative of k**8/6720 + k**7/280 + 3*k**6/80 - k**5/60 + 3*k**2. Let a(l) be the third derivative of m(l). Factor a(n).
3*(n + 3)**2
Let f = 61091/1992 - 1/664. Let p = 31 - f. Factor -p*c**4 - 1/3*c + 1/3*c**2 + 0 + 1/3*c**3.
-c*(c - 1)**2*(c + 1)/3
Let j = -7 - -9. Factor 0 + y**4 + j*y**3 - 4 - 2*y + 3.
(y - 1)*(y + 1)**3
Suppose -4*k**2 + 5*k**3 - 18 + 19*k**2 + 0*k**3 - 2 = 0. Calculate k.
-2, 1
Let q(c) = -c + 4. Let b be q(4). Let w(j) be the second derivative of 1/12*j**3 - 2*j + 7/48*j**4 + b + 0*j**2. Suppose w(h) = 0. Calculate h.
-2/7, 0
Suppose 0 = 144*y - 142*y - 10. Factor -1/2*c**y + 0*c**3 + 1/2*c**4 + 0*c**2 + 0*c + 0.
-c**4*(c - 1)/2
Suppose -28 = -5*x + 2*p, -2*p - 9 = -1. Factor -x*u**2 - 7*u**2 + 13*u**2.
2*u**2
Find d such that 2/13*d**2 + 2/13*d**5 + 0 - 2/13*d**3 + 0*d - 2/13*d**4 = 0.
-1, 0, 1
Let z be 6 - ((-42)/(-8) - 0). Factor -3*q - 9/2*q**2 - 3*q**3 - 3/4*q**4 - z.
-3*(q + 1)**4/4
Let f be 86/18 + (-12)/(-54). Determine x, given that -3*x**3 - 6*x**4 - 3 - 3*x**f + 12*x**2 - x**3 + 10*x**3 - 3*x - 3 = 0.
-2, -1, 1
Let y(p) = p**2 + p. Let v(i) be the first derivative of 162*i**5/5 + 18*i**4 - 163*i**3/3 - 81*i**2/2 - 8*i + 5. Let r(b) = 2*v(b) + 18*y(b). Factor r(u).
4*(u - 1)*(u + 1)*(9*u + 2)**2
Let a(x) = -x**3 + x**2 + 1. Let n(t) = -6*t**2 - t**3 + 2*t**4 + 8*t + 2 + 0*t**3 - 3*t**3. Let m(d) = -2*a(d) + n(d). Factor m(b).
2*b*(b - 2)*(b - 1)*(b + 2)
Let j(z) = z**2 - z - 7. Let n be j(4). Let u(a) be the second derivative of 3*a - 1/70*a**n + 1/42*a**4 + 0*a**2 + 0*a**3 + 0. Suppose u(q) = 0. What is q?
0, 1
Let j be ((-3)/(-9))/(-1)*107. Let c = 36 + j. Solve -c*q - 1/3*q**3 - 2/3*q**2 + 0 = 0.
-1, 0
Let s(t) be the second derivative of -t**7/2520 - t**6/1080 + t**3/3 - 3*t. Let u(o) be the second derivative of s(o). Factor u(p).
-p**2*(p + 1)/3
Let d = -2 + 2. Find x such that 0*x**3 + d + 1/4*x**4 + 0*x - 1/4*x**2 = 0.
-1, 0, 1
Let r(d) = d**3 + 3*d**2 - d + 2. Let v be r(-3). Suppose 3*z = -5*f - 1, z + v*f = 6*f + 5. Factor 5 - 6*u**2 - 5 + 20*u**2 - 4*u - 10*u**z.
-2*u*(u - 1)*(5*u - 2)
Let q(p) = p**3 + 4*p**2 - p - 2. Let o be q(-4). Let u be (-4 + o)*(-5)/30. What is v in 2/3 - 1/3*v - u*v**2 = 0?
-2, 1
Let v(y) = -y**3 + 3*y**2 + 4*y + 2. Let z be v(4). What is c in 5/2*c**2 - 1/2 + 3/2*c**3 - 3/2*c - z*c**4 = 0?
-1, -1/4, 1
Suppose -1/2*v**2 - 1/4*v**3 + 0 - 1/4*v = 0. What is 