 - 1)**2/2
Let c be (0 - 10)*2/4. Let b be (2/(-6))/(c/30). Suppose 0 + 1/3*p + 1/3*p**4 - 1/3*p**b - 1/3*p**3 = 0. What is p?
-1, 0, 1
Let y(z) = z**3 - 6*z**2 + 9*z - 2. Let g be y(4). Factor -6/5*w**g + 2/5 - 4/5*w**3 + 0*w.
-2*(w + 1)**2*(2*w - 1)/5
Let t be (1 - -2) + 2 + -3. Factor -2*j**2 + t - 3 + 7*j - 15*j - 7.
-2*(j + 2)**2
Factor -1/2*w**2 - w + 0.
-w*(w + 2)/2
Let i(p) be the first derivative of -2*p**5/5 - p**4/2 + 4*p**3/3 - 5. Find a, given that i(a) = 0.
-2, 0, 1
Let u(t) be the second derivative of t**6/1080 - t**4/72 - t**3/3 + t. Let s(c) be the second derivative of u(c). Factor s(n).
(n - 1)*(n + 1)/3
Let j(q) be the first derivative of -q**6/24 - q**5/10 + q**3/6 + q**2/8 - 24. Determine p so that j(p) = 0.
-1, 0, 1
Determine k so that 2/9*k**5 - 2/9*k**3 + 0*k + 2/9*k**4 - 2/9*k**2 + 0 = 0.
-1, 0, 1
Let l be 26/7 - 4/(-14). Find n such that 8*n**4 - 4*n**3 + 4*n**2 - 3*n**4 - 2 + 2*n**5 - 3*n**4 + 2*n - 4*n**l = 0.
-1, 1
Factor 6/5*p + 22/5*p**3 - p**4 + 0 - 23/5*p**2.
-p*(p - 3)*(p - 1)*(5*p - 2)/5
Let s = -803 - -4019/5. Suppose -s*k**2 - 8/5*k**3 - 3/5*k**4 + 0*k + 0 = 0. Calculate k.
-2, -2/3, 0
Let u = 85 + -423/5. Determine i so that -2/5 - u*i**2 + 4/5*i = 0.
1
Let b(c) be the first derivative of -5*c**4/18 - 26*c**3/27 - 4*c**2/9 + 8*c/9 + 18. Solve b(m) = 0.
-2, -1, 2/5
What is n in -9/7*n**2 + 0 - 3/7*n**3 - 6/7*n = 0?
-2, -1, 0
Let m(x) be the third derivative of x**8/588 - x**7/245 - 11*x**6/420 + x**5/15 + x**4/7 - 8*x**3/21 - 19*x**2. Determine a, given that m(a) = 0.
-2, -1, 1/2, 2
Let n = 8 + -6. Determine t so that -n*t - 4*t + 4*t**2 + 4 - 2*t = 0.
1
Factor 1/2*h**3 + 0 + 0*h**2 + 0*h - h**4 + 1/2*h**5.
h**3*(h - 1)**2/2
Let w(d) be the third derivative of d**5/30 - d**4/12 + d**3/12 - 6*d**2. Factor w(c).
(2*c - 1)**2/2
Suppose -5*u - 2*y + 15 = -3*y, 3*u - y - 11 = 0. Suppose -3*g = -0*g. Suppose -2/11*m**5 + 0*m**3 + 0*m + g + 0*m**4 + 0*m**u = 0. What is m?
0
Let f(u) be the third derivative of -u**6/360 - 7*u**5/180 - u**4/9 + 8*u**3/9 + 16*u**2. Factor f(r).
-(r - 1)*(r + 4)**2/3
Let s(f) = -2*f**4 + 2*f**3 - 6*f**2 + 2*f - 5. Let n(v) = 9*v**4 - 9*v**3 + 25*v**2 - 7*v + 21. Let c(i) = -6*n(i) - 26*s(i). What is o in c(o) = 0?
-2, 1
Let q(t) be the third derivative of 0*t - 1/96*t**4 - 1/12*t**3 + 6*t**2 + 1/16*t**5 - 19/480*t**6 + 1/120*t**7 + 0. Suppose q(c) = 0. What is c?
-2/7, 1
Let p(f) be the third derivative of f**5/240 - 5*f**4/48 + 25*f**3/24 + 4*f**2. Solve p(v) = 0 for v.
5
Let 96*a**2 - 128*a + 4*a**4 - 16 + 38 + 42 - 32*a**3 = 0. What is a?
2
Solve -64*b - 4/9*b**5 + 0 + 32/9*b**3 + 32/9*b**4 - 128/3*b**2 = 0.
-2, 0, 6
Suppose 0*d = -i + d + 6, 3*i + 5*d = -6. Let g be (6/20)/(i/4). Find z, given that 6/5*z**3 + 2/5*z + g - 2*z**2 = 0.
-1/3, 1
Let z(k) be the third derivative of -k**6/90 - k**5/15 - 2*k**2 + 14*k. Suppose z(c) = 0. Calculate c.
-3, 0
Let l(u) = -5*u. Let a be l(-1). Solve -3*f**a + 0*f**4 + 5*f**5 + 2*f**4 = 0 for f.
-1, 0
Factor -1/2*t + 0 + 1/6*t**2.
t*(t - 3)/6
Suppose 8 = 2*u, 2*u + u - 22 = -2*m. Suppose h = 4*q - 3*h - 12, -m*q - 2*h = -8. Factor -2/7*l**q + 0 - 4/7*l.
-2*l*(l + 2)/7
Let v be 2/4 - (-3 + 3)/1. Suppose -v*u**3 + 1/2*u - 1/2*u**2 + 1/2 = 0. Calculate u.
-1, 1
Let u be (6/((-2)/1))/(-3). Let p(q) be the first derivative of 4/5*q**5 + 2*q - q**2 - u - 2*q**3 + 1/2*q**4. Solve p(m) = 0 for m.
-1, 1/2, 1
Factor 0 - 2/13*p**5 + 0*p - 4/13*p**4 - 2/13*p**3 + 0*p**2.
-2*p**3*(p + 1)**2/13
Factor 1/2*x - 1/6*x**2 - 1/3.
-(x - 2)*(x - 1)/6
Suppose -v - 4 = -2*v. Suppose 3*y - 2*b - 2 = 1, -v*b = -4*y. Let 5/3*m + 1/3 + m**2 - y*m**3 = 0. Calculate m.
-1/3, 1
Let v = 5/12 + 1/12. Factor -3/2*h - 2*h**2 + v.
-(h + 1)*(4*h - 1)/2
Factor 4*m**3 + 32/7 + 4/7*m**4 + 72/7*m**2 + 80/7*m.
4*(m + 1)*(m + 2)**3/7
Let v(g) = g**3 + 3*g**2 + 2. Let p(k) be the second derivative of k**5/4 + 4*k**4/3 + k**3/6 + 11*k**2/2 - 7*k. Let m(x) = 6*p(x) - 33*v(x). Solve m(i) = 0.
-2, 0, 1
Let k(i) be the first derivative of -i**7/105 + 3*i**5/50 - i**4/15 - 7*i - 4. Let t(g) be the first derivative of k(g). Suppose t(x) = 0. Calculate x.
-2, 0, 1
Let k(y) be the first derivative of 6*y**5/5 + 8*y**4 + 58*y**3/3 + 20*y**2 + 8*y - 4. Factor k(m).
2*(m + 1)*(m + 2)**2*(3*m + 1)
Let u = 587 + -583. Solve 0*y**3 + 0*y - 2/5*y**2 + 0 + 2/5*y**u = 0.
-1, 0, 1
Determine w, given that 4/3*w - 2/3*w**4 - 2*w**3 + 2/3*w**5 + 0 + 2/3*w**2 = 0.
-1, 0, 1, 2
Suppose -4*k - n + 5*n - 8 = 0, -k - n = -8. Solve -2*s**2 + 3*s**3 - 3*s**k + 2*s**4 = 0 for s.
-1, 0, 1
Let a(b) be the second derivative of -b**4/9 + b**3/27 + 67*b. Suppose a(x) = 0. Calculate x.
0, 1/6
Let r(q) be the first derivative of -3 + 1/12*q**4 - 1/6*q**3 + 0*q**2 + 2*q. Let l(m) be the first derivative of r(m). Factor l(z).
z*(z - 1)
Let a = 4 + 2. Factor 0*k**2 - 6*k**2 + 3*k**3 - 2 - a*k - 2*k**3 - 3*k**3.
-2*(k + 1)**3
Let u be 707/77 + -7 - 2/11. Solve 3*v + 3/2 + 3/2*v**u = 0.
-1
Suppose -3*n + 3*d + 3 = 0, 2*d + 4 - 2 = 3*n. Factor -3*g + n*g + 4*g - g**2.
-g*(g - 1)
Let g(j) be the third derivative of j**5/90 - j**3/9 + 19*j**2. Let g(b) = 0. Calculate b.
-1, 1
Let d(w) be the second derivative of -1/9*w**4 + 1/24*w**5 + 0 - 1/180*w**6 + 0*w**2 - 4*w + 1/9*w**3. What is z in d(z) = 0?
0, 1, 2
Let j be 2/(-27)*-12 - 0. Factor -2/9*o**2 - j*o**3 + 8/9*o + 2/9.
-2*(o - 1)*(o + 1)*(4*o + 1)/9
Let w(m) = -m**3 + 7*m**2 - 7*m + 9. Let j be w(6). Let i be (-6)/(1/(-1) - j). Suppose 15/4*u - i - 3*u**2 + 3/4*u**3 = 0. Calculate u.
1, 2
Determine q so that 0 + 1/2*q**2 - 1/2*q = 0.
0, 1
Let v(t) = 6*t**3 - 12*t**2 + 6. Let c(n) = -n**4 - 11*n**3 + 23*n**2 + n - 12. Let d(o) = o**2 + 5. Let l be d(0). Let m(b) = l*v(b) + 3*c(b). Factor m(w).
-3*(w - 1)**2*(w + 1)*(w + 2)
Let a(y) be the second derivative of y**6/120 - 3*y**5/20 + 9*y**4/8 + 4*y**3/3 + 5*y. Let x(j) be the second derivative of a(j). Determine n so that x(n) = 0.
3
Suppose -648/5*k + 294/5*k**3 - 96/5 - 1008/5*k**2 = 0. Calculate k.
-2/7, 4
Let j(a) = a + 17. Let c be j(-13). Factor 2*m + 3*m + 4*m**c + 5*m**3 + 2*m**2 - m - 15*m**3.
2*m*(m - 2)*(m - 1)*(2*m + 1)
Let r(n) be the second derivative of -1/27*n**3 + 0 - 2*n - 1/54*n**4 + 0*n**2. Factor r(w).
-2*w*(w + 1)/9
Let u(z) = z**3 - z**2 - z + 4. Suppose 0 = 3*k + 12 - 3. Let j(f) = f**3 - f**2 - f + 5. Let v(q) = k*j(q) + 4*u(q). Solve v(d) = 0.
-1, 1
Determine j so that 2*j**2 - 3*j**2 - 6*j**4 + j**5 + 3*j**4 + 3*j**3 = 0.
0, 1
Let w(f) = 2*f**2 - 4*f - 17. Let n(m) = m**2 - m - 6. Let u(d) = 11*n(d) - 4*w(d). What is p in u(p) = 0?
-1, -2/3
Let t(a) be the first derivative of -a**3/18 + a**2/6 + 6. Solve t(i) = 0 for i.
0, 2
Let t(h) be the second derivative of h**6/90 + h**5/30 + h**4/36 - 8*h. Factor t(x).
x**2*(x + 1)**2/3
Find i, given that -1/6*i + 0 + 1/6*i**2 = 0.
0, 1
Let r = -2 - -6. Let i(p) = p - 4. Let w be i(r). Determine q, given that 4/7*q**3 + 0 + 0*q**4 - 2/7*q**5 + w*q**2 - 2/7*q = 0.
-1, 0, 1
Let j(k) = k**3 + 5*k**2 + 3*k - 2. Let w be j(-4). Factor -w + 3*i**2 + i**2 - 2*i**2.
2*(i - 1)*(i + 1)
Factor -2/9*x**2 - 8/9*x + 0.
-2*x*(x + 4)/9
Let v(d) = d**3 - 5*d**2. Let c be v(5). Solve 0*p - p**3 + c*p + p = 0 for p.
-1, 0, 1
Let b(l) be the second derivative of l**7/63 - l**6/45 - l**5/30 + l**4/18 + 11*l. Suppose b(m) = 0. Calculate m.
-1, 0, 1
Suppose -3*u = 7*u - 30. Let q(n) be the second derivative of -3/20*n**5 + 13/24*n**4 + 1/60*n**6 + n**2 + 0 - n**u - 3*n. Solve q(t) = 0.
1, 2
Let k(z) = 7*z**2 - 7*z - 5. Let l(x) = 6*x**2 - 6*x - 4. Let b(q) = -4*k(q) + 5*l(q). Let j(o) = -o**2 + 1. Let u(f) = b(f) + j(f). Factor u(s).
(s - 1)**2
Let n(u) = u + 19. Let o(h) = h + 19. Let g(i) = -5*n(i) + 6*o(i). Let x be g(-17). Factor 1/4*k**3 - 1/4*k + 1/4 - 1/4*k**x.
(k - 1)**2*(k + 1)/4
Let s(b) be the third derivative of b**5/105 - 2*b**4/21 + 8*b**3/21 + 10*b**2. Determine o, given that s(o) = 0.
2
Let q be 3 - -2*3/(-6). Suppose -q*l = -3*l + 3. Suppose 0 - 2/3*r + 4/3*r**4 + 2*r**l + 0*r**2 = 0. What is r?
-1, 0, 1/2
Suppose 0 = -4*l + 4, -3*s - 2 = -4*s + 2*l. Let p(h) be the first derivative of 3 - 1/4*h**s - 1/2*h**2 + 0*h + 2/3*h**3. Factor p(g).
-g*(g - 1)**2
Let t(a) = 2*a**2 + 7*a + 13. Let g(s) = s**2 + 4*s + 7. Let o(k) = 11*g(k) - 6*t(k). Suppose o(y) = 0. Calculate y