 o, given that -1/2*o**2 + 0*o**3 + 1/4*o**p + 1/4 + 0*o = 0.
-1, 1
Solve -33*n**2 - 3*n**4 + 21*n**3 + 14*n + 3*n**4 - 3*n**4 + n = 0.
0, 1, 5
Suppose -56*b + 14 = -85*b + 72. Factor 0*r + 1/2*r**3 - r**b + 0.
r**2*(r - 2)/2
Let c(y) be the first derivative of -3*y**4/2 + 14*y**3/3 + 7*y**2 - 6*y + 20. Factor c(w).
-2*(w - 3)*(w + 1)*(3*w - 1)
Suppose -16*u + 38*u = 24*u. Let m(p) be the third derivative of u*p + 1/300*p**6 + 7*p**2 + 0*p**3 + 0 + 1/50*p**5 + 1/30*p**4. Suppose m(l) = 0. Calculate l.
-2, -1, 0
Let r(y) be the third derivative of -y**7/3780 - y**6/216 - y**5/45 - 13*y**4/8 - 36*y**2. Let z(m) be the second derivative of r(m). Factor z(w).
-2*(w + 1)*(w + 4)/3
Factor -11/4*u - 7/2*u**2 - 3/4 - 3/2*u**3 + 1/4*u**4 + 1/4*u**5.
(u - 3)*(u + 1)**4/4
Suppose -29*z = -89*z + 146 - 26. Suppose -8/7*k + 10/7*k**z - 4/7*k**3 + 2/7 = 0. What is k?
1/2, 1
Let r(c) be the first derivative of -1/5*c**5 + 0*c**3 + 12 + 0*c + 0*c**2 + 1/6*c**6 - 1/2*c**4. Solve r(u) = 0 for u.
-1, 0, 2
Solve 8/7*c - 10/7 + 2/7*c**2 = 0.
-5, 1
Suppose 5*g - 5 = 0, 5*g - 9*g + 16 = -2*p. Let d be (2 - (-6 - p)) + 0/2. Determine r, given that -63*r**4 + 0 + 0*r - 30*r**3 - 4*r**d - 49/2*r**5 = 0.
-2, -2/7, 0
Let r(y) be the first derivative of y**4/2 + 6*y**3 - 34*y**2 + 48*y - 155. Suppose r(j) = 0. Calculate j.
-12, 1, 2
Let -18*a + 9/2*a**4 - 3/2*a**3 - 6 - 33/2*a**2 + 3/2*a**5 = 0. Calculate a.
-2, -1, 2
Let l(g) be the second derivative of g**7/1260 - g**6/120 - g**5/15 - g**4/12 - 38*g. Let a(r) be the third derivative of l(r). Factor a(s).
2*(s - 4)*(s + 1)
Let p be (-8)/24 - (-14)/6. What is f in -3*f**2 - f**3 + 3*f**4 - p*f**3 - 3*f**2 = 0?
-1, 0, 2
Let m(f) be the second derivative of -f**7/42 + 83*f**6/15 - 6889*f**5/20 + 35*f - 1. Factor m(i).
-i**3*(i - 83)**2
Let z = 18263/15 - 1217. Suppose -4*d - 9 - 3 = -4*g, 3*g - 17 = -d. Solve -z*x - 2/15*x**d - 8/15 = 0.
-2
Let o(k) be the first derivative of -2/3*k**3 - 1 - 8/3*k**2 - 1/18*k**4 - 32/9*k. Find x, given that o(x) = 0.
-4, -1
Let i(t) be the third derivative of 4*t**7/735 - 31*t**6/105 - 127*t**5/210 - 8*t**4/21 + 2*t**2 + 20*t. Determine k so that i(k) = 0.
-1/2, 0, 32
Let i be 10/(-16)*(-16 + (-74)/(-5)). Factor 33/4*c + 9/2*c**2 + 9/2 + i*c**3.
3*(c + 1)*(c + 2)*(c + 3)/4
Let q(p) be the third derivative of -p**6/900 + p**4/20 - 2*p**2 + 13*p. What is y in q(y) = 0?
-3, 0, 3
Let w = -169019/180 + 939. Let i(a) be the third derivative of 0*a**3 - a**2 + 0 + 4/945*a**7 - w*a**6 - 1/270*a**5 + 0*a**4 + 0*a. Suppose i(b) = 0. What is b?
-1/4, 0, 1
Determine a, given that -23 + 4*a**2 + 481*a**3 - 13 - 485*a**3 + 32*a - 12 = 0.
-3, 2
Let m be 65/(-52) + (-7341)/(-180) + (-13 - -20). Let m*u**2 + 30*u**4 + 8/15 - 136/15*u - 68*u**3 = 0. What is u?
2/15, 1
Suppose -1 = -2*f + 5. Let s = 144 - 139. Factor -s*m**5 - 22*m**4 + 51*m**4 - 19*m**4 - 5*m**f.
-5*m**3*(m - 1)**2
Let i = 215/1362 + 2/227. Let v be (((-16)/(-14))/((-8)/56))/(-4). Factor 0 + 0*l + i*l**v.
l**2/6
Let p = -765/4 + 2315/12. Let b be -3*2/(-18) + 1. Factor -p*o**2 + 0 - 2/3*o - 1/3*o**4 - b*o**3.
-o*(o + 1)**2*(o + 2)/3
Suppose 4*s = -11*s + 120. Let r(n) be the first derivative of 4*n**5 - s + 45/4*n**4 + 0*n + 10*n**3 + 5/2*n**2. What is q in r(q) = 0?
-1, -1/4, 0
Find u, given that -10/7*u**2 + 10/7*u**4 - 2/7*u**5 + 0 - 12/7*u + 2*u**3 = 0.
-1, 0, 1, 6
Let r(f) = 12*f**2 - 58*f + 46. Let o(u) = -4*u**2 - 4*u + 15*u + 13*u - 5*u - 15. Let x(j) = 14*o(j) + 5*r(j). Factor x(v).
4*(v - 5)*(v - 1)
Suppose -8*s - 6 = -54. Let w(h) = 2*h**4 + 2*h**3 - 6*h + 6. Let g(t) = -t + 1. Let d(r) = s*g(r) - w(r). Suppose d(y) = 0. Calculate y.
-1, 0
Let r(i) = -8*i**2 - 22*i - 12. Let v(b) = -b**3 + 46*b**2 + 132*b + 72. Let q(o) = -26*r(o) - 4*v(o). Factor q(w).
4*(w + 1)*(w + 2)*(w + 3)
Let w = -14 + 21. Suppose -6 + p + 3*p**2 - 2*p - 9*p**2 + w*p**2 = 0. What is p?
-2, 3
Factor 76/3 - 26*g + 2/3*g**2.
2*(g - 38)*(g - 1)/3
Let c(z) = 2*z**3 - 3*z**2 + 3*z. Let q(j) = -j**3 - 1. Suppose 13 + 3 = 2*g. Let n = g - 11. Let w(k) = n*c(k) - 3*q(k). Find v, given that w(v) = 0.
1
Suppose -3*m = -m - m. Let n(f) be the first derivative of 0*f + 3/4*f**4 + 1/6*f**6 + m*f**2 - 3/5*f**5 - 1/3*f**3 + 2. Let n(w) = 0. Calculate w.
0, 1
Let g(h) be the third derivative of -h**8/2520 - 2*h**7/1575 + h**5/225 + h**4/180 - 2*h**2 + 149*h. Factor g(t).
-2*t*(t - 1)*(t + 1)**3/15
Suppose 8*f = 5*f - 228. Let p be f/(-30) - (-12)/(-90). Suppose 8/5 - p*z + 4/5*z**2 = 0. Calculate z.
1, 2
Find y, given that 0*y**3 + 0 - 2/3*y**2 - 4/9*y + 2/9*y**4 = 0.
-1, 0, 2
Let d(z) be the first derivative of -13 + 1/2*z**2 + 1/3*z**3 + 0*z. Factor d(b).
b*(b + 1)
Find n, given that -2500 + 2175*n**2 - 6750*n + 15/2*n**4 - 445/2*n**3 = 0.
-1/3, 10
Let z be (-240)/(-16)*2/36. Factor 5/3*g - z - 5/6*g**2.
-5*(g - 1)**2/6
Let j(z) be the third derivative of 0*z + 0 + 0*z**4 - 18*z**2 + 1/450*z**5 - 1/45*z**3. Determine k so that j(k) = 0.
-1, 1
Suppose -53*j + 78*j = 75. Suppose -3*b = -4*l - 26, -2*b + 3*l = -6 - 13. Suppose -1/6*r**b + 1/6*r - 1/6*r**j + 0 + 1/6*r**4 = 0. What is r?
-1, 0, 1
Let m(c) = 32*c**2 - 48*c + 12. Suppose -v - d - 2 = 0, d = -3*v + 4*v + 8. Let b(f) = 13*f**2 - 19*f + 5. Let t(q) = v*m(q) + 12*b(q). Factor t(p).
-4*p*(p - 3)
Let y = 326 - 321. Let u(g) be the first derivative of -2/9*g**3 + 0*g + 2/3*g**2 - y. Factor u(z).
-2*z*(z - 2)/3
Let d be 8/(-6)*15/(-10). Factor -4*c - 48*c**2 + 4*c**3 + 97*c**d + 2*c**4 - 51*c**2.
2*c*(c - 1)*(c + 1)*(c + 2)
Let y(q) = 2*q**3 - 23*q**2 + 6 + 9*q - 5 + 3 + 4*q**2. Let o be y(9). Suppose 0*m**2 + 0*m - 21/4*m**5 - 15/4*m**o + 0 + 3/2*m**3 = 0. What is m?
-1, 0, 2/7
Let d(y) = -3*y**2 - 47*y - 48. Let o(i) = -4*i**2 - 47*i - 49. Let b(r) = 3*d(r) - 2*o(r). Factor b(w).
-(w + 1)*(w + 46)
Find t, given that 0*t - 1/2*t**4 + 0 - t**3 + 3/2*t**2 = 0.
-3, 0, 1
Let o(w) = -w**5 + w**2 - w - 1. Let t(p) = 3*p**4 - 2*p**3 - p**2 + p + 1. Let u be (5 - 6)/(2/50). Let g = u + 27. Let y(f) = g*o(f) + 2*t(f). Factor y(x).
-2*x**3*(x - 2)*(x - 1)
Factor 44/7 + 26/7*b + 2/7*b**2.
2*(b + 2)*(b + 11)/7
Suppose 0 = 873*w - 895*w + 88. Let f(q) be the third derivative of 0*q + 0 - 2/21*q**3 + 1/210*q**5 - 1/84*q**w - 9*q**2. Find z, given that f(z) = 0.
-1, 2
Let o(j) = -j**2 - 1076*j - 34588. Let s(n) = -n**2 - 719*n - 23059. Let b(z) = -5*o(z) + 8*s(z). Factor b(c).
-3*(c + 62)**2
Let h(t) = -t**3. Let g(o) = o**4 + o**3 - 11*o**2. Let f(k) = 2*g(k) - 18*h(k). Solve f(j) = 0.
-11, 0, 1
Let m(y) = -3*y + 30. Let n be m(9). Let b(w) be the third derivative of 1/15*w**5 + 2*w**3 + 0 - n*w**2 + 0*w - 2/3*w**4. Factor b(l).
4*(l - 3)*(l - 1)
Solve -6*j**3 + 0*j**3 + 22*j**2 + 8 + 2 - 364*j + 402*j = 0 for j.
-1, -1/3, 5
Let w = -28065 + 28067. Let -1/3*a**w - 1/3*a + 2/3 = 0. Calculate a.
-2, 1
Let l be ((-5)/(-1))/(1 + -3 + 3). Let f(c) be the third derivative of 0*c + 0*c**4 + l*c**2 + 1/20*c**5 + 0 + 0*c**3. Factor f(k).
3*k**2
Factor -96/5*v**2 - 2/5*v**3 - 1152/5*v + 0.
-2*v*(v + 24)**2/5
Let 3*z**2 + 3/2*z - 3/2*z**3 - 3 = 0. What is z?
-1, 1, 2
Let o = -277/8 - -139/4. Let s(h) be the first derivative of 3 + 1/3*h**3 - o*h**4 + 0*h + 0*h**2. Solve s(k) = 0.
0, 2
Factor 2*p**4 + p**5 - 9*p**3 + 0*p**5 + 18*p**3 + 4*p**4.
p**3*(p + 3)**2
Let j be 1/(6 + (-1 - 4)). Let p(t) = -4*t + 2. Let i(u) = u**2 + u. Let c be 2/(-8) - (-10)/8. Let r(h) = c*p(h) + j*i(h). Solve r(b) = 0.
1, 2
Suppose -8*i + 6*i + 13*i - 22 = 0. Let 32/5*p**3 - 2/5*p + 12*p**5 + 0 - 97/5*p**4 + 7/5*p**i = 0. Calculate p.
-1/4, 0, 1/5, 2/3, 1
Suppose -4*s + 88 = -u, 2*s + 110 = 7*s - 2*u. Factor 2*k + 2*k**2 - 22 + s + 0*k**2.
2*k*(k + 1)
Let f(h) be the third derivative of -5*h**2 + 0 + 0*h**3 - 1/480*h**6 + 0*h - 1/120*h**5 - 1/96*h**4. Factor f(g).
-g*(g + 1)**2/4
Let x(p) be the second derivative of 0 + 16*p + 0*p**4 - 5/14*p**7 + 2/3*p**6 + p**5 + 0*p**3 + 0*p**2. Let x(w) = 0. Calculate w.
-2/3, 0, 2
Let n(a) be the first derivative of 4/15*a**3 - 2/25*a**5 + 25 - 2/5*a - 1/45*a**6 - 1/15*a**2 + 1/15*a**4. Solve n(x) = 0.
-3, -1, 1
Suppose 0*z + 2*z = -4*u + 8, 5*z + 20 = 0. Find i, given that -25*i - 1 + u*i**2 + 29*i + 1 = 0.
-1, 0
Suppose -24 = 2*j - 10*j. Suppose -j*o + 6*o = 6. Let 3*h**o + 6*h + 8*h - 9*h**3 + 3*h**4 - 5*h - 6*h**4 = 0. 