cond derivative of 0 - 7*a + 5/72*a**4 - 1/6*a**2 + 1/36*a**3 + 1/60*a**5. Factor q(u).
(u + 1)*(u + 2)*(2*u - 1)/6
Let k(o) = -o**2 - o + 34. Let l be k(-6). Determine m so that -1/5*m**3 + 1/5*m**l + m - 2/5 - 3/5*m**2 = 0.
-2, 1
Let i = -10/193 - -476/1737. Factor -8/3*p - i*p**3 + 4/3*p**2 + 16/9.
-2*(p - 2)**3/9
Let h(b) be the first derivative of b**4/4 + b**3/3 - 2*b**2 - 4*b - 46. Factor h(s).
(s - 2)*(s + 1)*(s + 2)
Let s(g) = g - 4. Let k be s(7). Factor 9*y**4 - 6 - 2 + 8 - k*y**3.
3*y**3*(3*y - 1)
Let a(z) = -3*z**2 - 11*z - 5. Let k(g) = 3*g**2 + 10*g + 4. Let v(p) = -4*a(p) - 5*k(p). Suppose v(j) = 0. What is j?
-2, 0
Let w be (2 + 2/(-1))*1. Let g = w + 2. Suppose -i + 2*i**4 + 0*i**4 - i**2 + i**5 - i**g = 0. Calculate i.
-1, 0, 1
Let r(i) = -3*i**2 - 7*i - 2. Let h be r(-2). Let c = -4 - -4. Determine x, given that 2/7*x + c + h*x**2 - 2/7*x**3 = 0.
-1, 0, 1
Let f(m) be the first derivative of m**6/24 + 3*m**5/20 + m**4/8 - m**3/6 - 3*m**2/8 - m/4 - 1. Solve f(j) = 0.
-1, 1
Let u be (-1)/(-1*(-2)/(-6)). Suppose -5*z**2 - 2 + 5*z**2 - z**2 + u = 0. Calculate z.
-1, 1
Let d(p) = -16*p**5 - 5*p**4 - 6*p**3 + 5*p**2 - 11*p. Let y(b) = -3*b**5 - b**4 - b**3 + b**2 - 2*b. Let h(k) = 6*d(k) - 33*y(k). Factor h(l).
3*l**2*(l - 1)*(l + 1)**2
Suppose 21 = -5*p + 46. What is t in -2*t**p + 3*t**5 - t**3 + 2*t**3 - 2*t**4 = 0?
0, 1
Suppose 2*w + 2*w = -3*r + 8, -w = -5*r + 21. Factor -2/3*q**4 - 2/3 - r*q**2 + 8/3*q**3 + 8/3*q.
-2*(q - 1)**4/3
Let a(j) be the first derivative of j**4 + 16*j**3/3 - 22*j**2 + 24*j - 1. Determine n so that a(n) = 0.
-6, 1
Let r(m) = 3*m - 6. Let g be r(4). Suppose 3*b + 6 = g*b. Let 3/2*c**b - 1/2*c + 0 = 0. What is c?
0, 1/3
Let o(v) be the second derivative of v**5/30 + v**4/18 - 2*v**3/9 + 26*v. Factor o(k).
2*k*(k - 1)*(k + 2)/3
Suppose 30 = -6*f + 16*f. Let w(u) be the first derivative of -u**2 + 5/3*u**3 + 0*u + f - 1/2*u**4. Let w(g) = 0. Calculate g.
0, 1/2, 2
Let d(h) be the third derivative of h**7/7560 + h**6/1080 + h**5/360 - h**4/12 - 9*h**2. Let p(w) be the second derivative of d(w). Find m, given that p(m) = 0.
-1
Let i(j) be the second derivative of -j**6/3 + 9*j**5/5 - 2*j**4 - 8*j**3/3 - 13*j. Factor i(l).
-2*l*(l - 2)**2*(5*l + 2)
Let p(g) be the second derivative of 7/30*g**4 + 0*g**2 + 1/15*g**3 + 3/25*g**6 + 0 + 3/10*g**5 - g. Factor p(f).
2*f*(f + 1)*(3*f + 1)**2/5
Suppose 4*m - 18 = -10. Let l(s) be the first derivative of -3/7*s**2 - 4/7*s + 1/14*s**4 - m + 0*s**3. Suppose l(q) = 0. What is q?
-1, 2
Let a(o) be the second derivative of 2*o**6/15 - o**5/5 - o**4/3 + 2*o**3/3 + 28*o. Find m, given that a(m) = 0.
-1, 0, 1
Factor -3/2*m**2 - 5/2*m - 1.
-(m + 1)*(3*m + 2)/2
Let k = -109/3 + 37. Factor -k*a - a**2 + 0.
-a*(3*a + 2)/3
Let q(s) be the third derivative of 0*s - 1/15*s**5 + 0 + 2*s**3 - 4*s**2 - 1/3*s**4. What is o in q(o) = 0?
-3, 1
Let m = -25/36 + 9/4. Factor -20/9*o - m*o**2 - 2/3.
-2*(o + 1)*(7*o + 3)/9
Let t(v) be the second derivative of -v**7/63 + 2*v**6/15 - 13*v**5/30 + 2*v**4/3 - 4*v**3/9 - 6*v. Suppose t(u) = 0. What is u?
0, 1, 2
Let j(z) be the second derivative of -1331*z**6/15 - 363*z**5/5 - 22*z**4 - 8*z**3/3 - 24*z - 2. Let j(m) = 0. Calculate m.
-2/11, 0
Let p be (-4)/(-6)*(-36)/(-10). Let y = 457/5 + -91. Factor -26/5*l**2 - 8/5*l**4 - 24/5*l**3 - p*l - y.
-2*(l + 1)**2*(2*l + 1)**2/5
Let l be (57/56 + -1)*(-7)/(-30). Let o(z) be the third derivative of 0 + 4*z**2 + l*z**6 - 1/24*z**4 - 1/120*z**5 + 0*z + 0*z**3. Factor o(t).
t*(t - 2)*(t + 1)/2
Let x(a) = a**2 + 13*a - 14. Let b be x(-14). Factor 4/9*d**3 + 2/9*d**4 + 2/9*d**2 + 0 + b*d.
2*d**2*(d + 1)**2/9
Solve -4/3*d**3 + 0*d**2 + 2*d**4 + 0*d - 2/3*d**5 + 0 = 0 for d.
0, 1, 2
Let q = -506/5 + 1017/10. Let 1/4*u**2 - q*u + 1/4 = 0. What is u?
1
Let o(r) = 7*r**5 - 26*r**4 + 23*r**3 - 4*r**2 - 2. Let a(w) = 6*w**5 - 27*w**4 + 24*w**3 - 3*w**2 - 3. Let x(t) = 2*a(t) - 3*o(t). Let x(y) = 0. Calculate y.
0, 2/3, 1
Suppose -9*o + 2*o**5 - o**2 + 5*o**2 - 4*o**4 + 7*o = 0. What is o?
-1, 0, 1
Let y(f) be the second derivative of -13/6*f**3 - 9/4*f**4 - 23/20*f**5 - 7/30*f**6 - f**2 + 0 + 3*f. Factor y(v).
-(v + 1)**3*(7*v + 2)
Let n(i) be the first derivative of -i**8/1680 - i**7/840 + i**6/360 + i**5/120 - i**3 + 1. Let r(f) be the third derivative of n(f). Factor r(u).
-u*(u - 1)*(u + 1)**2
Let k be (-5)/(-52) - (-68)/442. Factor -k*b**2 - 1/4*b + 1/2.
-(b - 1)*(b + 2)/4
Suppose 4 - 7 = -z. Solve x**3 + 0*x + x - x**2 + 1 + 0*x**2 - 2*x**z = 0.
-1, 1
Let x be 1/((-2)/(-4)) - 0. Factor 8*f - 12*f - 6*f - 4 - 2*f**3 - 8*f**x.
-2*(f + 1)**2*(f + 2)
Let m(v) = 2*v**2 - v - 1. Let w(p) be the third derivative of p**5/6 - p**4/4 - 2*p**3/3 + 4*p**2. Let u(q) = -28*m(q) + 6*w(q). Factor u(y).
4*(y - 1)**2
Let a(f) = -5*f**2 - 20*f - 16. Let y(g) = 70*g**2 + 280*g + 225. Let h(t) = -55*a(t) - 4*y(t). Suppose h(z) = 0. Calculate z.
-2
Factor -10*y + 6*y**4 - 6*y**3 - 2*y + 19*y**3 - 4*y**2 - 4*y**3 + y**5.
y*(y - 1)*(y + 2)**2*(y + 3)
Factor -157*w - 9*w**4 - 21*w**3 - 3*w**4 - 6*w**2 + 160*w.
-3*w*(w + 1)**2*(4*w - 1)
Let h(d) be the second derivative of 2*d**7/3 + 2*d**6/3 - 2*d**5/5 - 3*d. Factor h(c).
4*c**3*(c + 1)*(7*c - 2)
Let a(w) = 8*w**2 + 35*w - 9. Let f be 22 - 4 - (2 - 1). Let d(y) = 3*y**2 + 12*y - 3. Let m(b) = f*d(b) - 6*a(b). Factor m(u).
3*(u - 1)**2
Let v = -5 + 5. Let m(r) be the third derivative of 0*r**3 + 0*r - 3*r**2 + 1/36*r**4 + v + 7/180*r**5 + 1/45*r**6 + 1/210*r**7. Factor m(n).
n*(n + 1)**2*(3*n + 2)/3
Let i(m) be the third derivative of m**5/180 + m**4/72 + 2*m**2. Factor i(x).
x*(x + 1)/3
Factor -1 - 4/3*g - 1/3*g**2.
-(g + 1)*(g + 3)/3
Let g be 42/180 - (11/6 + -2). Factor -7/5*t**2 + t**4 + 3/5*t - 3/5*t**3 + g.
(t - 1)**2*(t + 1)*(5*t + 2)/5
Let x = -65 + 65. Factor 1/6*z**4 - 1/3*z**3 + 0*z + 1/6*z**2 + x.
z**2*(z - 1)**2/6
Let y = 19 + -16. Factor 0 - 2/5*p + 2/5*p**y + 0*p**2.
2*p*(p - 1)*(p + 1)/5
Suppose -3*x - 3*m + 30 = 2*m, m - 3 = 0. Let f(p) be the third derivative of 0 + 1/480*p**6 + 0*p - 1/32*p**4 + 0*p**x + 1/12*p**3 + p**2. Factor f(y).
(y - 1)**2*(y + 2)/4
Let f(n) be the third derivative of -1/100*n**6 - 4*n**2 - 1/120*n**4 + 2/525*n**7 + 0 + 1/75*n**5 - 1/1680*n**8 + 0*n + 0*n**3. Factor f(r).
-r*(r - 1)**4/5
Let b(w) be the second derivative of w**8/840 - 2*w**7/525 + w**6/300 + 3*w**2 + 9*w. Let r(n) be the first derivative of b(n). What is m in r(m) = 0?
0, 1
Let d be 0/((-10)/(-6)*162/90). Suppose -6/7*t - 3/7*t**4 + 3/7*t**2 + 6/7*t**3 + d = 0. Calculate t.
-1, 0, 1, 2
Let y = 3 + -3. Suppose -6*d + d + 35 = y. Let -d + g**2 + 7 + g**4 + 2*g**3 = 0. Calculate g.
-1, 0
Let w be -4 + 0/(-1) + 1 - -5. Factor 4/5*c + 0 + 2/5*c**w.
2*c*(c + 2)/5
Let q be (-1 + 0 + 0)/(-1). Let j = 1 + q. What is i in -2*i**2 + 2 + 3*i + 2*i**2 + j*i**2 - 7*i = 0?
1
Let p(x) be the first derivative of x**6/1620 + x**5/270 + x**3 + 3. Let t(j) be the third derivative of p(j). Factor t(l).
2*l*(l + 2)/9
Let s be 1 + 130/108 + (-4)/8. Let p(k) be the first derivative of -2 + s*k**3 - 13/9*k**2 - 2/3*k**4 + 4/9*k. What is m in p(m) = 0?
1/4, 2/3, 1
Let t = -7 - -10. Suppose x + t*f + 7 = -3, 3*x = 5*f + 26. Suppose x + 4*d + 5*d**2 + d**2 - 5*d**2 + d**2 = 0. Calculate d.
-1
Let s be (-6)/(-9) + (-1)/(-3). Let p = 1 + s. Suppose 0*c - 2 + 10*c**p - 6*c - 2 = 0. Calculate c.
-2/5, 1
Find c such that -2*c**3 + 8*c + 3*c**3 - 5*c - 2*c - 2*c**2 = 0.
0, 1
Let g = -5 - -5. Let q(f) be the third derivative of -1/60*f**6 - 1/12*f**4 + 1/15*f**5 + 0 + g*f**3 - f**2 + 0*f. Factor q(m).
-2*m*(m - 1)**2
Let q(g) = -g**2 + 1. Let b(l) = 7*l**2 - 4*l - 11. Let o(t) = b(t) + 3*q(t). Factor o(y).
4*(y - 2)*(y + 1)
Find n, given that 2/3*n**2 - 2*n + 3/2 = 0.
3/2
Let u(o) be the third derivative of -o**5/240 - o**4/48 - 6*o**2. Solve u(w) = 0 for w.
-2, 0
Let n(j) be the first derivative of -j**6/9 + j**4/6 + 6. What is k in n(k) = 0?
-1, 0, 1
Let r(o) = 3*o**4 - 9*o**3 + 9*o**2 - 3*o - 3. Let i(h) = -3*h**4 + 9*h**3 - 10*h**2 + 4*h + 4. Let j(d) = -3*i(d) - 4*r(d). What is y in j(y) = 0?
0, 1, 2
Factor 75 + 4*m**2 - 32*m + 148 - 159.
4*(m - 4)**2
Suppose d = t + 3, -4*t - t = -4*d + 7. Factor 1 + 5 + 3*x**2 + d*x + x.
3*(x + 1)*(x + 2)
Let g(b) = b**2 - 7*b - 13. Let d be g(9). Let k(f) be the t