be the third derivative of c**6/300 - 2*c**5/75 + c**4/20 + 35*c**2. Factor p(y).
2*y*(y - 3)*(y - 1)/5
Let r = -14/3 + 16/3. Factor 0 - r*b - 2/3*b**2.
-2*b*(b + 1)/3
Let x be 14/77 + (-108)/(-11). Let v be (12/(-30))/((-2)/x). Determine l, given that 4*l + v*l**3 + 6*l**2 + 2*l**2 - 2*l**2 = 0.
-2, -1, 0
Solve 32*q**3 - 4*q**2 - 2*q + 5*q**2 - 31*q**3 = 0.
-2, 0, 1
Let 1/11*r**2 + 5/11 + 6/11*r = 0. What is r?
-5, -1
Let q(o) be the second derivative of o**6/45 - 2*o**5/15 + 5*o**4/18 - 2*o**3/9 - 7*o. Solve q(j) = 0.
0, 1, 2
Let s(t) be the first derivative of -1/8*t**4 + 2 + 0*t**2 + 1/12*t**6 - 1/10*t**5 + 1/6*t**3 + 0*t. Solve s(z) = 0.
-1, 0, 1
Let t(d) be the second derivative of d**8/6720 - d**7/1260 + d**6/720 - d**4/12 - 3*d. Let x(g) be the third derivative of t(g). Factor x(y).
y*(y - 1)**2
Let f(w) be the second derivative of w**6/360 + w**3/6 - w. Let n(y) be the second derivative of f(y). Find d such that n(d) = 0.
0
Let n(h) = -h**4 + 2*h**3 + h**2 - 3*h. Let v(w) = -w**3 + w**2 + w. Let p(q) = 4*n(q) - 4*v(q). Let p(t) = 0. What is t?
-1, 0, 2
Let p(k) be the third derivative of 0*k - 1/270*k**5 + 1/27*k**3 + 0*k**4 + 3*k**2 + 0. Let p(w) = 0. Calculate w.
-1, 1
Let s be 132/21 - (-4)/(-14). Let w be (2/(-12))/(s/(-18)). Factor 1/2 - k**3 + 1/2*k**4 + 1/2*k**5 + w*k - k**2.
(k - 1)**2*(k + 1)**3/2
Suppose 5*p - 5/6*p**2 - 15/2 = 0. What is p?
3
Let n(u) be the second derivative of -2*u**7/1155 + u**6/220 + u**5/165 - 2*u**2 - u. Let l(j) be the first derivative of n(j). Suppose l(d) = 0. Calculate d.
-1/2, 0, 2
Solve -2/13*q**3 + 6/13*q + 4/13 + 0*q**2 = 0 for q.
-1, 2
Suppose 4*m = -2*a + 856, -a - 2*m - 1252 = -4*a. Let n be ((-144)/a)/((-2)/7). Suppose -8/5*o + 2/5 + n*o**2 = 0. What is o?
1/3, 1
Let r(u) be the third derivative of 0 + u**2 + 0*u - 1/360*u**6 + 0*u**4 + 0*u**5 + 0*u**3 - 1/630*u**7. Factor r(o).
-o**3*(o + 1)/3
Let c(y) be the third derivative of y**8/7840 - y**7/1960 + y**6/1680 + 5*y**4/24 + 2*y**2. Let r(i) be the second derivative of c(i). Factor r(w).
3*w*(w - 1)*(2*w - 1)/7
Let z = 13 - 35/3. What is j in -z*j**3 + 0*j**4 + 0*j**2 + 2/3*j**5 + 0 + 2/3*j = 0?
-1, 0, 1
Suppose 0 = 3*k - 8 - 1. What is c in 6 + c**2 + 17*c**2 - 6*c**2 - 15*c - k*c**3 = 0?
1, 2
Let w(m) be the first derivative of -2*m**5/35 + m**4/7 + 2*m**3/7 - 4*m**2/7 - 8*m/7 - 4. Factor w(x).
-2*(x - 2)**2*(x + 1)**2/7
Suppose -2*l = -8, -3*f + 26 = 2*f + 4*l. Suppose 4*k = -3*v + 20, -5*k = -4*v + 8 - f. Find r such that -k*r**3 + r**4 + r**2 - 15*r + 15*r = 0.
0, 1
Let c(q) be the second derivative of -1/12*q**4 + 3*q + q**2 + 0 + 1/6*q**3. Factor c(z).
-(z - 2)*(z + 1)
Find k such that -7/3*k**5 - 4/3*k + 11/3*k**3 + 4*k**4 + 0 - 4*k**2 = 0.
-1, -2/7, 0, 1, 2
Let s = 66 - 64. Let r(j) be the second derivative of 0*j**s + 3*j - 1/3*j**4 + 5/21*j**7 - 4/5*j**6 + 9/10*j**5 + 0*j**3 + 0. Solve r(m) = 0.
0, 2/5, 1
Suppose 0 = 5*l - 15 + 5. Determine v so that -5*v + 8*v**2 + 3*v - 3*v**l + 5*v**2 = 0.
0, 1/5
Let b be (10/4)/(4/(-8)). Let z(s) = -s**3 - 5*s**2 + s + 7. Let v be z(b). Factor 19 - 4*g - g**2 - 15 + 2*g**v.
(g - 2)**2
Let r be 64/70 + 22/77. Factor -9/5*b + 3/5*b**5 + 6/5*b**2 + 3/5 - 9/5*b**4 + r*b**3.
3*(b - 1)**4*(b + 1)/5
Let k be (-2 - -1)*-1 - -1. Let o be (k/12)/(2/3). Factor -1/2*c**3 + 3/4*c**4 + 0*c**2 + 0*c + 0 - o*c**5.
-c**3*(c - 2)*(c - 1)/4
Let s be (0 - -2) + 56/(-128). Let m(y) be the first derivative of 2 + 11/2*y**2 + s*y**4 + 2*y + 35/6*y**3. Determine r, given that m(r) = 0.
-2, -2/5
Factor 1/5*k**2 + 9/5 - 6/5*k.
(k - 3)**2/5
Let l(a) be the first derivative of 2/35*a**5 - 4 + 1/14*a**4 - 1/21*a**6 - 2/21*a**3 + 0*a + 0*a**2. Factor l(z).
-2*z**2*(z - 1)**2*(z + 1)/7
Let x(c) be the third derivative of c**6/40 - 11*c**5/80 + 5*c**4/32 + c**3/4 + 2*c**2 - 17. Find l, given that x(l) = 0.
-1/4, 1, 2
Let r be (-5134)/(-578) + (15/(-17) - -1). Suppose -3 = -3*u + 2*o + 1, 0 = -3*u - 3*o + 9. Solve -r*l + 27/2 + 3/2*l**u = 0.
3
Let d = 9 + -7. Factor 0 + 0 + 2*x**4 - d*x**5.
-2*x**4*(x - 1)
Let z(i) = 6*i**4 - 12*i**3 - 2*i**2 - 8*i + 8. Let h(t) = -4*t**4 + 8*t**3 + t**2 + 5*t - 5. Let n(v) = -8*h(v) - 5*z(v). What is l in n(l) = 0?
0, 1
Let m(u) be the third derivative of -u**5/30 + 5*u**4/48 + u**3/8 + 8*u**2. Suppose m(t) = 0. Calculate t.
-1/4, 3/2
Let g(k) be the second derivative of -k**7/84 + k**6/60 + k**5/20 + 9*k. Let g(t) = 0. What is t?
-1, 0, 2
Let f = -37/5 + 274/35. Let 6/7*h**2 - f - 6/7*h**3 - 3/7*h**4 + 3/7*h + 3/7*h**5 = 0. What is h?
-1, 1
Let z be 169/78 - 5/30. Factor 0 - 3/5*i**3 + 2/5*i**z + 0*i.
-i**2*(3*i - 2)/5
Let p(i) = -4*i**2 + 4*i - 2. Let v be p(2). Let n be (-44)/(-20) - (-2)/v. Factor 0 + 2 - 4*f**2 + n*f**2.
-2*(f - 1)*(f + 1)
Let g(n) be the second derivative of 2*n**6/15 + n**5 + 8*n**4/3 + 8*n**3/3 - 29*n. Find o such that g(o) = 0.
-2, -1, 0
Let c(y) be the second derivative of -y**9/1512 + y**8/420 - y**7/420 - 4*y**3/3 - 6*y. Let f(w) be the second derivative of c(w). Let f(b) = 0. What is b?
0, 1
Let c(w) be the third derivative of 0*w + 1/96*w**4 + 0 + 3/160*w**6 + 1/210*w**7 - w**2 + 1/40*w**5 + 0*w**3. Factor c(j).
j*(j + 1)**2*(4*j + 1)/4
Let n(o) be the third derivative of o**7/140 + o**6/80 - o**5/20 + 19*o**2. Factor n(c).
3*c**2*(c - 1)*(c + 2)/2
Let p = 2/45 + 221/90. Let v be ((-112)/(-140))/(-1 + (-7)/(-5)). Factor -p*b - 1/2*b**3 - v*b**2 - 1.
-(b + 1)**2*(b + 2)/2
Suppose 0*q**2 - 4/5*q**3 + 0 - 2/5*q**4 + 0*q = 0. Calculate q.
-2, 0
Let m(g) = -5*g. Let q(y) = -y. Let z(s) = -m(s) + 6*q(s). Let a be z(-4). Determine w, given that w**5 - 3*w**5 - w + 2*w**a - 2*w**2 + 2*w**5 + w**5 = 0.
-1, 0, 1
Factor 10 - 4*h + 2/5*h**2.
2*(h - 5)**2/5
Let q(o) be the first derivative of -2*o**4/5 + 2*o**3 - 8*o**2/5 - 6*o/5 + 13. Determine b so that q(b) = 0.
-1/4, 1, 3
Let f(p) be the second derivative of 5*p**4/12 - 5*p**2/2 - 4*p. Factor f(q).
5*(q - 1)*(q + 1)
Let b(v) be the second derivative of -v**2 - 3*v + 3*v**3 + 0 + 1/30*v**5 + 1/2*v**4. Let f(r) be the first derivative of b(r). Factor f(k).
2*(k + 3)**2
Let z be (-1 - 0) + 7 + -2. Solve 2*s**2 - s**4 + 4*s**z - 2 - 4*s**4 + 1 = 0 for s.
-1, 1
Let w(m) = -m**3 - 8*m**2 - 8*m - 9. Let n be w(-7). Let x = 22 + n. Factor x*f**2 - 2*f**2 - 3*f**3 + 4 + 13*f**3 + 14*f + 2*f**4.
2*(f + 1)**3*(f + 2)
Factor -1/3*w**2 + 1/6*w - 1/6*w**3 + 1/3.
-(w - 1)*(w + 1)*(w + 2)/6
Let b(l) be the first derivative of 7/16*l**4 - 1/6*l**3 + 1/2*l + 4 - 7/8*l**2. Find g, given that b(g) = 0.
-1, 2/7, 1
Let j be 10/(-3) + 4/(-6). Let p = 6 + j. Factor 2*f**5 - 3*f**3 + f**3 - 2*f**2 + 4*f**p - 2*f**4.
2*f**2*(f - 1)**2*(f + 1)
Let f(j) be the second derivative of j**7/840 - j**6/120 - j**4/12 - j. Let u(n) be the third derivative of f(n). Factor u(m).
3*m*(m - 2)
Let j(w) = 7*w**2 - 7*w + 2. Let a be j(5). Let l = -986/7 + a. Determine y, given that 8/7*y + 2/7*y**2 + l = 0.
-2
Let 4/7*v - 2/7*v**2 + 0 = 0. Calculate v.
0, 2
Let a be 9 - 4*(-3)/(-3). Find l, given that 16*l**2 - l**a + 16*l**3 - 4*l**3 - 3*l**5 - 16*l - 8*l**4 = 0.
-2, 0, 1
Let j(i) = i**2 - i + 1. Let q(h) be the third derivative of h**3/6 + h**2. Suppose -3*s + 3 + 0 = 0. Let r(u) = s*j(u) - q(u). Factor r(x).
x*(x - 1)
Solve 6*i + 3/2*i**2 + 6 = 0.
-2
Suppose -3*s - 5*y - 34 = -6*s, 2*y = -10. Suppose -4*w + 4 = -s*w. Factor 3*t**5 - t**5 - 4*t**2 + 2*t - 4*t + w*t**4.
2*t*(t - 1)*(t + 1)**3
Let k(u) be the first derivative of u**3/3 + 7*u**2 + 49*u + 25. Determine p, given that k(p) = 0.
-7
Suppose 0 = -4*q + 2*q + 4. Let d(w) be the second derivative of 0 + 1/70*w**5 + 2/21*w**3 - 1/14*w**4 + 0*w**q - 3*w. Find y such that d(y) = 0.
0, 1, 2
Factor -10 - 40*g**2 - 3*g**3 - 7*g**3 + 10*g**4 + 5*g**5 - 413*g + 378*g.
5*(g - 2)*(g + 1)**4
Let i be (-13)/13 - (-5)/1. Let x(f) be the second derivative of -3*f + 0 + 1/6*f**i + f**3 + 2*f**2. What is z in x(z) = 0?
-2, -1
Suppose -44*y**2 - 16*y + 1/2*y**5 + 29*y**3 + 64 - 13/2*y**4 = 0. What is y?
-1, 2, 4
Let f(a) be the second derivative of a**4/28 - a**3/7 - 9*a**2/14 + 23*a. Factor f(h).
3*(h - 3)*(h + 1)/7
Let i = -4 + 7. Suppose 0 = -2*z - 4*v - 4, -i*v + 0 = 4*z + 3. Factor -24*h**4 + 0*h + 12*h**3 + z - 3/2*h**2.
-3*h**2*(4*h - 1)**2/2
Suppose -8/5*d**2 + 1/5*d**4 - 12/5*d + 0 + 1/5*d**3 = 0. Calcu