 - 2*w**4/3 + 10*w**3/3 - 4*w**2 - 16*w. Factor h(o).
-4*(o - 2)*(o - 1)**3*(o + 1)
Let g(p) = -p**2 + 13*p - 10. Let t be g(12). Solve 10*x**2 - 2*x**3 - 4*x**2 - 4*x + t - 2 = 0.
0, 1, 2
Let v(g) = 4 - 5*g**2 + 4*g**2 - g + 0 - 2*g. Let y be v(-3). Suppose -2/3*o**3 - 2/3*o**y + 0*o**2 + 0 + 0*o = 0. What is o?
-1, 0
Suppose 4 = -0*g + 2*g + 4*h, -4*h + 22 = -g. Let n = g - -8. Suppose -n*m**3 + 4/3*m**2 + 0 + 2/3*m = 0. Calculate m.
-1/3, 0, 1
Let w(r) = -2*r**2 + r + 1. Let t(u) = -12045*u**2 + 1000*u. Let i(l) = t(l) - 20*w(l). Factor i(y).
-5*(49*y - 2)**2
Let g(p) be the third derivative of -p**7/735 + p**6/35 - 9*p**5/35 + 9*p**4/7 - 27*p**3/7 + 2*p**2. Factor g(x).
-2*(x - 3)**4/7
Let a(l) be the first derivative of l**5/5 - l**4/2 + l**2 - l + 8. Factor a(s).
(s - 1)**3*(s + 1)
Let t = 7 + -6. Let p(n) = n**2 + n. Let z(o) = 20*o**2 + 18*o - 2. Let a(d) = t*z(d) - 12*p(d). Factor a(g).
2*(g + 1)*(4*g - 1)
Let m(o) be the third derivative of 0*o**4 + 0*o**5 - 5*o**2 + 1/240*o**6 + 0 + 0*o - 1/420*o**7 + 0*o**3. Let m(c) = 0. What is c?
0, 1
Suppose 0*c**2 + 4/9*c**3 + 2/3*c**4 + 0 + 0*c + 2/9*c**5 = 0. What is c?
-2, -1, 0
Let i = 80 - 80. Factor -4/3*y**4 + i*y**3 + 0 + 4/3*y**2 - 2/3*y + 2/3*y**5.
2*y*(y - 1)**3*(y + 1)/3
Let n = 6449/9009 - 2/1287. Factor -n*u**4 + 11/7*u - 3*u**2 + 17/7*u**3 - 2/7.
-(u - 1)**3*(5*u - 2)/7
Determine a so that 0 + 4/9*a - 2/9*a**2 = 0.
0, 2
Let c(g) be the second derivative of 0*g**2 + 0 - 2*g - 1/36*g**4 - 1/18*g**3. What is w in c(w) = 0?
-1, 0
Factor 6*w**2 - w - 2*w**2 + 0*w**2.
w*(4*w - 1)
Let b(o) be the third derivative of -o**5/120 + o**4/12 - o**3/4 + 26*o**2 - 2*o. Factor b(c).
-(c - 3)*(c - 1)/2
Let a be (6/(-18))/(2*(-2)/8). Let -a*v**3 + 0 + 0*v**2 + v**4 - 1/3*v**5 + 0*v = 0. What is v?
0, 1, 2
Let s(n) be the second derivative of 0*n**4 - 2*n + 0*n**3 + 1/60*n**6 + 0 + n**2 + 1/30*n**5. Let x(q) be the first derivative of s(q). Solve x(j) = 0.
-1, 0
Let h = 3 + 1. Let k be (-10)/(-15) + (1/3 - -1). Determine n, given that -7*n**k - h - 2*n**3 - 10*n + 3*n**2 - 5*n**2 + n**2 = 0.
-2, -1
Let x(t) be the second derivative of 0 + 0*t**3 + 1/42*t**4 - t - 1/7*t**2. Factor x(f).
2*(f - 1)*(f + 1)/7
Let x(i) be the second derivative of -i**5/70 - i**4/21 - i**3/21 - 2*i. Determine o, given that x(o) = 0.
-1, 0
Let i be ((-28)/35*-5)/1. Factor 9/4*f**i + 3/4*f**2 + 0*f + 0 - 9/4*f**3 - 3/4*f**5.
-3*f**2*(f - 1)**3/4
Let y be 46/6 - (-2)/6. Let w = y - 8. Suppose -4/3*s**4 + 0*s + w + 5/3*s**3 - 2/3*s**2 + 1/3*s**5 = 0. Calculate s.
0, 1, 2
Let p(k) be the second derivative of -k**8/3360 - k**7/840 + k**6/720 + k**5/120 - 2*k**3/3 - k. Let a(i) be the second derivative of p(i). Factor a(t).
-t*(t - 1)*(t + 1)*(t + 2)/2
Let f(a) be the second derivative of -a**5/80 + a**4/48 + a**3/24 - a**2/8 + 7*a. Factor f(u).
-(u - 1)**2*(u + 1)/4
Let o(f) = -2 - 3 - 15*f + 6*f + 7*f**2. Let t(l) = 11*l**2 - 14*l - 8. Let g(q) = -8*o(q) + 5*t(q). Determine u, given that g(u) = 0.
0, 2
Let c(f) = 3*f - 43. Let d be c(15). Find m such that 2/3*m**3 + 2/3*m**4 + 0 + 0*m**d + 0*m = 0.
-1, 0
Let w(j) = -5*j**2 - j + 3. Let p be (2/4)/((-7)/42). Let g(i) = 26*i**2 + 6*i - 16. Let t(y) = p*g(y) - 16*w(y). Let t(r) = 0. What is r?
0, 1
Factor -1/8*r**3 - 3/8*r**2 - 1/4*r + 0.
-r*(r + 1)*(r + 2)/8
Let o = -703/20 - -143/4. Solve 0*r**3 + 0*r - 6/5*r**2 + o + 3/5*r**4 = 0 for r.
-1, 1
Factor 0 + 2/3*d - 2/3*d**2.
-2*d*(d - 1)/3
Suppose -905 = -2*h - 5*y, 4*h + 0*y = y + 1755. Let t = 2214/5 - h. Solve -t*l**2 + 14/5*l**4 + 2*l**5 + 0 - 6/5*l**3 - 4/5*l = 0.
-1, -2/5, 0, 1
Let c = -2/237 + 247/1185. Let m(o) be the second derivative of -1/5*o**2 + 0 - 1/50*o**5 + 2*o - 1/10*o**4 - c*o**3. Factor m(s).
-2*(s + 1)**3/5
Suppose 3/2*g**4 + 0 - 3/2*g**2 + 3/2*g**3 - 3/2*g**5 + 0*g = 0. Calculate g.
-1, 0, 1
Let o be 3 - (79/20 - 1). Let a(f) be the first derivative of -1 + o*f**4 + 0*f**2 + 1/15*f**3 + 0*f. Determine p, given that a(p) = 0.
-1, 0
Let m = 30 - 30. Factor -1/5*q**5 + 2/5*q**3 + m*q**2 - 1/5*q + 0*q**4 + 0.
-q*(q - 1)**2*(q + 1)**2/5
Let f(l) = 3*l**4 - 3. Let u(s) = -1. Let c(z) = -f(z) + 3*u(z). Factor c(w).
-3*w**4
Find s such that -s - 3*s**2 + 5*s + 14*s - 27 = 0.
3
Suppose 5/3*h**5 + 0 + 0*h - 5/3*h**3 - 10/3*h**2 + 10/3*h**4 = 0. What is h?
-2, -1, 0, 1
Let j(s) be the second derivative of s**7/2520 - s**6/1080 - s**5/180 + 2*s**3/3 + 5*s. Let m(x) be the second derivative of j(x). Let m(u) = 0. Calculate u.
-1, 0, 2
Let h(z) = -4*z**4 + 2*z**3 + 5*z**2 - 6*z - 3. Let c(i) = -i**3 + i**2 - i - 1. Let d(v) = 15*c(v) - 5*h(v). Suppose d(j) = 0. What is j?
-3/4, 0, 1
Let h(x) be the second derivative of x**7/8820 - x**5/420 + 2*x**4/3 - 7*x. Let r(c) be the third derivative of h(c). Find n such that r(n) = 0.
-1, 1
Let l be 3 - (-3)/2*(-48)/36. Factor l - 6*s + 21/4*s**2 + 49/4*s**3.
(s + 1)*(7*s - 2)**2/4
Find s, given that 6*s - 6*s**4 - 4*s**3 + 2*s + 14*s**2 - 12*s = 0.
-2, 0, 1/3, 1
Factor 0*h + 2/19*h**2 - 2/19.
2*(h - 1)*(h + 1)/19
Let h(b) = -2*b**2 + 16*b + 14. Let v(n) = -n**2 + n - 1. Let k(f) = -h(f) + 4*v(f). Factor k(x).
-2*(x + 3)**2
Suppose -3*x + b + 11 = 0, x - 5*b + 21 = 5*x. Factor 0 - 6*y**2 + 10*y**2 + x - 8*y.
4*(y - 1)**2
Let m(u) be the third derivative of u**7/6300 + u**6/1800 - u**4/12 + 2*u**2. Let p(z) be the second derivative of m(z). Factor p(w).
2*w*(w + 1)/5
Let v(x) be the second derivative of -4*x + 0*x**2 + 1/40*x**5 + 0 + 1/12*x**3 + 1/12*x**4. Factor v(w).
w*(w + 1)**2/2
Let c(d) be the third derivative of -4*d**7/105 - d**6/5 - 3*d**5/10 - d**4/6 - 30*d**2. Let c(x) = 0. What is x?
-2, -1/2, 0
Let m(d) = d**3 - 7*d**2 + 6*d + 2. Let p be m(6). Factor -u**3 + u**2 + 0*u - u**2 - p*u**2 - u.
-u*(u + 1)**2
Suppose 0 = -5*z + 6*z. Suppose 3*x - 4 - 2 = z. What is n in -4/7*n + 4/7*n**3 - 6/7*n**x + 0 + 6/7*n**4 = 0?
-1, -2/3, 0, 1
Let i = -1 - -1. Factor -2*q**2 + 2 + 2 + i*q**2 - 2*q.
-2*(q - 1)*(q + 2)
Let a be (26/(-36))/(-1) - 24/108. Suppose -1/2*q**3 + 1/2*q + 1/2*q**2 - a = 0. What is q?
-1, 1
Let 6 + 4*f + 2*f + 3*f - 15*f**2 = 0. What is f?
-2/5, 1
Let v = -11 - -14. Let a be (8/(-84))/(v/(-7)). Factor 0 + 2/3*u**3 - a*u**4 + 2/9*u - 2/3*u**2.
-2*u*(u - 1)**3/9
Let s be 2/((-7)/(420/(-8))*5). Let x(i) be the third derivative of 1/3*i**s + 1/30*i**5 - 2*i**2 + 0 + 0*i + 1/6*i**4. Solve x(v) = 0.
-1
Let g be (-5)/((2 + -1)/(12 - 13)). Let c(m) be the third derivative of 0*m + 0 + 1/48*m**6 + 1/3*m**3 - 1/6*m**4 - 7/120*m**g + 5*m**2. Factor c(i).
(i - 2)*(i + 1)*(5*i - 2)/2
Find y, given that 0*y**2 - 2/5*y**4 + 0 + 1/5*y**5 + 1/5*y**3 + 0*y = 0.
0, 1
Let t(w) = -w**4 - 11*w**3 - w**2 + 11*w + 6. Let y(d) = -d**4 - 23*d**3 - d**2 + 23*d + 12. Let c(z) = 5*t(z) - 2*y(z). Solve c(h) = 0.
-2, -1, 1
Let b(i) be the first derivative of i**7/2100 + i**6/225 + i**5/75 - 4*i**3/3 - 2. Let y(z) be the third derivative of b(z). Let y(t) = 0. What is t?
-2, 0
Factor -2/7*g**2 + 6/7*g + 0.
-2*g*(g - 3)/7
Let v(t) = -3*t**5 - 3*t**4 - 5*t**2. Let q(m) = 8*m**5 + 8*m**4 + 14*m**2. Let p(f) = 5*q(f) + 14*v(f). Solve p(z) = 0 for z.
-1, 0
Let c(n) = -9*n**3 - 25*n**2 + 16. Let s(i) = -19*i**3 - 51*i**2 + 32. Let w(t) = 5*c(t) - 3*s(t). Find d, given that w(d) = 0.
-2, -1, 2/3
Let g = 5 - 3. Let t(f) be the first derivative of 2*f**3 - 2 + 1/5*f**5 - g*f**2 + f - f**4. Find d, given that t(d) = 0.
1
Let d(t) be the second derivative of t**5/140 - 3*t**4/28 + 4*t**3/7 - 8*t**2/7 + 16*t. Factor d(n).
(n - 4)**2*(n - 1)/7
Suppose 7/3*j**5 - 16/3*j**2 - 4/3*j + 0 + 16/3*j**4 - j**3 = 0. What is j?
-2, -1, -2/7, 0, 1
Let x(a) be the third derivative of a**6/600 - a**4/40 + a**3/15 - 4*a**2. Factor x(p).
(p - 1)**2*(p + 2)/5
Suppose -3*y + 4*y + 11 = 3*p, 2*p - 14 = 2*y. Suppose -p*q = -a + 2, q - a + 2 = 6*q. Determine o, given that -1/5*o - 1/5*o**2 + q = 0.
-1, 0
Factor 2/7*j**4 - 10/7*j + 0 - 2*j**3 + 22/7*j**2.
2*j*(j - 5)*(j - 1)**2/7
Let r be (4 - 0) + -2 - 4*-1. Let n(g) be the third derivative of -3*g**2 + 0*g + 0 + 0*g**3 - 1/30*g**r + 0*g**4 + 1/30*g**5. Let n(a) = 0. What is a?
0, 1/2
Suppose -b + 7 = -f, 1 = -5*b - 5*f + f. Determine g so that 2*g**b - 3*g**3 + g**2 + 2*g**3 = 0.
-1, 0
Suppose 0 = -4*o + 3*o. Factor -3*p + p**2 + o*p**2 + 2*p**2 + 0*p**2.
3*p*(p - 1)
S