late i.
-1, 0
Let w(h) be the first derivative of h**5/15 + h**4/12 - 5*h**3/9 + h**2/2 + 49. Factor w(v).
v*(v - 1)**2*(v + 3)/3
Solve -1/4*p**2 - 5/2*p + 11/4 = 0.
-11, 1
Suppose 2*u - 2*d = -3*u + 22, 0 = 2*d + 12. Suppose -78*l + 6*l**u - 2/13*l**3 + 338 = 0. Calculate l.
13
Suppose -12 + 32 = 5*r. Let f(l) = 2*l**3 + 4*l**2 + 2*l - 3. Let h(u) = 2*u**3 + 4*u**2 + 2*u - 2. Let w(o) = r*f(o) - 6*h(o). Factor w(g).
-4*g*(g + 1)**2
Let b = 36 - -14. Let v be 8690/b - 4/5. Suppose 23*j**2 - 3*j**2 + 10 + 148*j - 5*j**3 - v*j = 0. Calculate j.
1, 2
Let r = 132/199 - -2/597. Suppose -1/3*t**2 - t - r = 0. Calculate t.
-2, -1
Suppose -s = 38 - 2. Let i = -34 - s. Factor 4/3 + 5/3*f**i - 4*f.
(f - 2)*(5*f - 2)/3
Let f = -275 + 277. Let m be -3 - (-1 - (-5 + f) - 8). Factor 2/7*u + 3/7*u**2 + 0 + 1/7*u**m.
u*(u + 1)*(u + 2)/7
Let 2/11*j**4 - 12/11*j**3 + 2*j**2 + 0 - 12/11*j = 0. What is j?
0, 1, 2, 3
Let -4*t**2 + t**4 + 3*t**4 + 3*t**3 - 9*t**3 + 4*t + 2*t**3 = 0. Calculate t.
-1, 0, 1
Let k(j) = 3*j**3 - 4775*j**2 - 9614*j - 4803. Let x(m) = -m**3 + 955*m**2 + 1923*m + 961. Let w(s) = -2*k(s) - 11*x(s). Find h such that w(h) = 0.
-1, 193
Let y(m) be the first derivative of -m**7/840 + m**6/180 + m**5/24 - m**4/4 - 9*m**3 - 21. Let d(r) be the third derivative of y(r). Factor d(f).
-(f - 3)*(f - 1)*(f + 2)
Find q, given that -424*q**2 + q**3 + 799*q**2 - 402*q**2 - 58*q = 0.
-2, 0, 29
Let n(z) be the first derivative of -2*z**3/9 - 10*z**2/3 - 50*z/3 + 111. Factor n(w).
-2*(w + 5)**2/3
Let d = -24499 - -24504. Suppose -4/5*u**3 + 24/5*u**2 - 16/5*u + 0 + 2/5*u**d - 6/5*u**4 = 0. What is u?
-2, 0, 1, 2
Let z be (-10)/(-35) + 150/14. Let x = 15 - z. Let -4*d**2 - x + 7*d + 2 + 5*d**3 + 1 - 7*d**2 = 0. Calculate d.
1/5, 1
Let d(k) = -11*k**3 - 23*k**2 - 36*k - 6. Let t(r) = -12*r**3 - 21*r**2 - 37*r - 7. Let j(p) = -7*d(p) + 6*t(p). Factor j(m).
5*m*(m + 1)*(m + 6)
Solve 0*k + 5/6*k**2 + 0 + 5/2*k**3 = 0.
-1/3, 0
Let m = 22273 + -200449/9. Factor 2/3*l**2 - m*l + 2/9.
2*(l - 1)*(3*l - 1)/9
Let h(g) = 96*g**2 + 9*g - 2 - 92*g**2 - g. Let x(o) = 3*o**2 + 8*o - 3. Let w(q) = -5*h(q) + 6*x(q). Factor w(d).
-2*(d - 2)**2
Let x(p) = -4*p - 48. Let w(n) = -n - 12. Let g(z) = -9*w(z) + 2*x(z). Let k be g(-9). Factor -o**2 + 7/3*o - 7/3*o**k - 2/3 + 5/3*o**4.
(o - 1)**2*(o + 1)*(5*o - 2)/3
Let 2/5 - 4/5*g**2 + 2/5*g**3 - 1/5*g + 2/5*g**4 - 1/5*g**5 = 0. What is g?
-1, 1, 2
What is r in -13*r**4 + 892*r**5 - 10*r + 43*r**3 - 13*r**2 - 10*r**4 - 889*r**5 = 0?
-1/3, 0, 1, 2, 5
Let u(i) be the third derivative of -i**8/168 - 4*i**7/105 - i**6/20 + 2*i**5/15 + i**4/3 + 3*i**2. Let u(l) = 0. Calculate l.
-2, -1, 0, 1
Suppose -116*d = -122*d. Let b(r) be the third derivative of 0*r - 7*r**2 - 5/12*r**4 + d + 2/3*r**3 - 7/30*r**5. Find i such that b(i) = 0.
-1, 2/7
Let j(p) = -24*p**3 + 16*p**2 - 34*p. Let w(b) = -5*b**3 + 3*b**2 - 7*b. Let y be 24/(-204) - 49/17. Let s(g) = y*j(g) + 14*w(g). Factor s(x).
2*x*(x - 2)*(x - 1)
Let h(b) = -5*b**2 + 7*b - 2. Let n(r) = r**2 - r - 6. Let x(k) = 2*k**2 - 2*k - 13. Let g(d) = 13*n(d) - 6*x(d). Let i(s) = -2*g(s) - h(s). Factor i(u).
(u - 1)*(3*u - 2)
Let c = -148497/5 - -29700. Factor 0 + 3/5*m**2 - c*m.
3*m*(m - 1)/5
Suppose 5*f + 31 = -2*w, 0 = -0*f + f + 5. Let x = 5 - w. Let 17*i**5 - 2*i**3 - x*i**3 - 5*i**4 - 7*i**5 - 5*i**5 = 0. Calculate i.
-1, 0, 2
Let r = -13333/4 + 3339. Suppose -1/2 - r*u**2 + 9/4*u**4 + 3/4*u**3 + 13/4*u = 0. Calculate u.
-2, 1/3, 1
Let a(y) = -4*y**2 - 2. Let x(n) = 95*n**2 - 540*n - 1010. Let v(r) = 25*a(r) + x(r). Let v(z) = 0. What is z?
-106, -2
Suppose 0*w - 3*w = 2*j - 85, -2*j - 23 = -w. Factor w*t**4 + 19*t**4 - 44*t**4.
2*t**4
Let r = 124 - 122. Find i, given that 108*i - 111*i + i**r - i**2 + 3*i**3 = 0.
-1, 0, 1
Let w be (-1*(-5 + 4))/1. Factor -12*h + 9 + 3*h**2 + 4 - w.
3*(h - 2)**2
Let k be ((-516)/344)/(((-48)/200)/(8/55)). Factor 4/11*y - 2/11*y**5 + 0 + 6/11*y**3 - k*y**2 + 2/11*y**4.
-2*y*(y - 1)**3*(y + 2)/11
Let p(u) be the third derivative of -9*u**7/70 - 3*u**6/2 - 59*u**5/10 - 15*u**4/2 - 9*u**3/2 + 220*u**2. Factor p(c).
-3*(c + 3)**2*(3*c + 1)**2
Let i be (-24)/(-14) - 6/(-21). Suppose -13 = -5*h - o - 5, i*o + 10 = 3*h. Determine x, given that 0*x**h + 0 + 1/5*x**3 + 0*x - 1/5*x**4 = 0.
0, 1
Let t(w) be the first derivative of 0*w**2 - 1/10*w**5 + 3/4*w**4 - 23 - 3/2*w**3 + 0*w. Factor t(l).
-l**2*(l - 3)**2/2
Let y be (5/((-30)/4))/53. Let o = 248/53 + y. Solve -4/9*f**4 - o*f**2 - 8/9 + 32/9*f + 22/9*f**3 = 0.
1/2, 1, 2
Suppose -3*n = 14*n - 95*n. Solve -2/13*w**4 + 2/13*w**2 + 4/13*w + n + 2/13*w**5 - 6/13*w**3 = 0 for w.
-1, 0, 1, 2
Let q be (14/21*3/10)/((-32)/(-240)). Find h, given that 6*h**2 + 15/2*h + q*h**3 + 3 = 0.
-2, -1
Let 21 - 4 + 48*s - 12*s**2 + 11*s**2 - 32*s = 0. What is s?
-1, 17
Let a(l) be the third derivative of -l**6/40 + 17*l**5/20 + 6*l**2 + 6. What is z in a(z) = 0?
0, 17
Let b = 28 + -63. Let w be ((-3)/2)/(b + 32). Determine o so that 0*o + 1/2*o**3 + w*o**2 + 0 = 0.
-1, 0
Let d = 11 - 9. Suppose 0 = 3*k + d*v + 4, 3*k + 4*v = -12 - 2. Let 14 - a**k + 6*a - 14 - a**2 = 0. Calculate a.
0, 3
Factor -2/13*s**2 - 64/13*s - 62/13.
-2*(s + 1)*(s + 31)/13
Let r = 16 - 23. Let i be r - (-89)/13 - (-64)/78. What is y in 0*y + i*y**2 - 2/3 = 0?
-1, 1
Suppose -24*u = -28 - 68. Let m(p) be the second derivative of -1/2*p**3 - 1/4*p**u + 3/20*p**5 + 0 - 8*p + 3/2*p**2. Factor m(d).
3*(d - 1)**2*(d + 1)
Let a be 103/3 - (-8)/12. Let n be (4/(-5))/((-14)/a). Determine j so that -4*j + n*j - 3*j**2 + 5*j = 0.
0, 1
Let n = 3933 + -3930. Find f such that 0 - 1/5*f + 2/5*f**2 - 1/5*f**n = 0.
0, 1
Let o(u) be the first derivative of 3*u**4/10 - 2*u**3/15 - 3*u**2/5 + 2*u/5 - 109. Factor o(p).
2*(p - 1)*(p + 1)*(3*p - 1)/5
Let r(k) be the third derivative of -k**7/1155 - k**6/165 - k**5/66 - k**4/66 - 31*k**2. What is y in r(y) = 0?
-2, -1, 0
Let p be 4 - 105/24 - (-247)/104. Let c(a) be the second derivative of 0 + 1/9*a**p + 2*a - 2/27*a**3 + 1/54*a**4. Factor c(t).
2*(t - 1)**2/9
Suppose 3*j = 198 - 78. Factor -4*c**5 - 8*c**2 + 4*c - 71 + 8*c**4 + j + 31.
-4*c*(c - 1)**3*(c + 1)
Let z(l) be the third derivative of l**7/630 + 2*l**6/45 - 3*l**5/10 - 5*l**4/24 + 2*l**2 - 5. Let a(y) be the second derivative of z(y). Solve a(u) = 0.
-9, 1
Let l = -16 + 21. Suppose 1 - 5*i**2 - 20*i - 2 - 9 - l = 0. Calculate i.
-3, -1
Let t(x) = x**3 + 6*x**2 + 4*x + 4. Let r(w) = 10*w**3 + 65*w**2 + 45*w + 45. Let v(q) = -4*r(q) + 45*t(q). What is a in v(a) = 0?
-2, 0
Let c(f) be the second derivative of f**5/15 - f**4 - 14*f**3/3 + 21*f**2/2 + 10*f. Let k(s) be the first derivative of c(s). Suppose k(o) = 0. What is o?
-1, 7
Let p(n) be the second derivative of 0 + 1/12*n**4 + 0*n**3 - 22*n - 2/3*n**2 + 1/60*n**5. Factor p(t).
(t - 1)*(t + 2)**2/3
Let b(w) = 3*w - 5. Let g be b(3). Factor -4*f - 2*f**3 + g*f**2 + 0*f**2 + 2*f.
-2*f*(f - 1)**2
Find i, given that 1/9*i**2 + 172/3*i + 7396 = 0.
-258
Let i be ((-744)/108 + 7)*18. Factor 0 + 0*t**i + 3/5*t**3 - 3/5*t.
3*t*(t - 1)*(t + 1)/5
Let u(j) be the third derivative of 1/18*j**6 + 0*j**4 + 0 + 2/315*j**7 + 0*j**3 + 4/45*j**5 + 0*j + 15*j**2. Determine m, given that u(m) = 0.
-4, -1, 0
Let d be ((-3)/(-5))/((-21)/28*-4). Let w(s) be the second derivative of d*s**6 + 1/4*s**3 + 1/28*s**7 + 9/20*s**5 + 0*s**2 + 4*s + 0 + 1/2*s**4. Factor w(y).
3*y*(y + 1)**4/2
Suppose 0 = 2*v - 4*v + 90. Let r = v - 31. Factor 2*l**3 + r*l**2 + 13 + 17 + 30*l - 12.
2*(l + 1)*(l + 3)**2
Let h = 417 + -411. Let l(m) be the second derivative of 0 + 0*m**2 + 0*m**5 - 1/15*m**4 - 1/105*m**7 + 4*m + 1/15*m**3 + 2/75*m**h. Factor l(f).
-2*f*(f - 1)**3*(f + 1)/5
Let u = -12 + 13. Solve -1 + 3*v**2 - v**2 - 6*v - 6 - u = 0 for v.
-1, 4
Let m = 1/5012 + 1431/5012. Solve 0 + m*h**2 + 2/7*h = 0.
-1, 0
Suppose 0 = 5*u - 29 - 1. Let z(h) = -h**3 + 7*h**2 - 7*h + 8. Let v be z(u). Factor -3/5 - 3/5*n**v - 6/5*n.
-3*(n + 1)**2/5
Let g(l) be the second derivative of l**7/56 + 3*l**6/40 - l**4/4 + 23*l. Suppose g(u) = 0. Calculate u.
-2, 0, 1
Let z(s) be the first derivative of 1/3*s**3 - 5/6*s**4 + 4 + 9*s + 0*s**2. Let b(p) be the first derivative of z(p). Factor b(x).
-2*x*(5*x - 1)
Let t(w) be the second derivative of w**5/4 - 25*w**4/12 - 10*w**3/3 