*l**2 + 2*l + 4*l**a + 2*l**3.
2*l*(l + 1)**2
Let k(g) be the first derivative of -g**4/102 - 2*g**3/51 - g**2/17 + 5*g + 5. Let c(s) be the first derivative of k(s). Factor c(u).
-2*(u + 1)**2/17
Let g(d) be the second derivative of -d**6/480 + d**5/240 + d**2 + 3*d. Let h(f) be the first derivative of g(f). Factor h(v).
-v**2*(v - 1)/4
Let q be 24/(-21)*(-1)/2. Let s be 16/(-84)*(-9)/6. Determine f, given that s*f - q + 2/7*f**2 = 0.
-2, 1
Solve 0 - 14/9*t**3 + 4/9*t - 10/9*t**2 = 0.
-1, 0, 2/7
Let f(n) be the second derivative of -n**6/105 - 3*n**5/35 - 2*n**4/7 - 10*n**3/21 - 3*n**2/7 + n. Solve f(d) = 0 for d.
-3, -1
Find y, given that -1/2*y + 1/3 + 1/6*y**2 = 0.
1, 2
Factor -9/7*s**2 - 1/7 + 6/7*s + 4/7*s**3.
(s - 1)**2*(4*s - 1)/7
Suppose 3*d - 9 = 3*s, -2*d + s = -2 - 6. Let i(n) be the first derivative of 0*n + 1/12*n**4 - 1/6*n**2 - 2 - 1/15*n**d + 1/9*n**3. Factor i(u).
-u*(u - 1)**2*(u + 1)/3
Let r(w) be the third derivative of w**9/1512 - w**8/280 + w**7/140 - w**6/180 + w**3/2 - 3*w**2. Let n(k) be the first derivative of r(k). Factor n(t).
2*t**2*(t - 1)**3
Let b(s) = -4*s**2 + 6*s + 1. Let r(i) = -i**2 + 1. Let y(j) = b(j) - r(j). Find p such that y(p) = 0.
0, 2
Let j(g) = 9*g**2 - 6*g. Let p(q) = -q**2 + q. Let i(f) = j(f) + 12*p(f). Factor i(z).
-3*z*(z - 2)
Let t be ((-2)/(-3))/((-8)/(-3)). Suppose -t*x**2 - 1 + x = 0. Calculate x.
2
What is x in 2/13*x**5 + 8/13*x**2 + 2/13*x - 4/13 - 4/13*x**4 - 4/13*x**3 = 0?
-1, 1, 2
Let x(l) be the first derivative of 5*l**3/9 - 4*l**2/3 - 4*l/3 - 30. Find w such that x(w) = 0.
-2/5, 2
Suppose 0 = 2*n + n - 9. Let k be 45/50 + 1/(-2). Find x such that -2*x - 16/5*x**2 - k - 8/5*x**n = 0.
-1, -1/2
Let g(h) be the third derivative of 0*h**4 + 0 + 0*h**3 + 1/40*h**6 + 2*h**2 + 1/10*h**5 + 0*h - 1/70*h**7. Suppose g(c) = 0. Calculate c.
-1, 0, 2
Let t be 24/30 - 22/(-10). Factor -8*f**3 - t*f**4 - 3*f + 3*f - f**4 - 4*f**2.
-4*f**2*(f + 1)**2
Let p(q) be the third derivative of -1/180*q**5 + 0 + 0*q + 1/72*q**4 - 3*q**2 + 1/9*q**3. Factor p(u).
-(u - 2)*(u + 1)/3
Let y(x) be the first derivative of -x**4/3 + 4*x**3/3 + 7*x - 4. Let n(j) be the first derivative of y(j). Factor n(r).
-4*r*(r - 2)
Let u(t) be the first derivative of 1/4*t**2 - 1/6*t**3 + t - 3. Determine h, given that u(h) = 0.
-1, 2
Let o(q) be the first derivative of 3/4*q**4 + 6 + 0*q - 1/2*q**6 + 3/5*q**5 + 0*q**2 - q**3. Factor o(n).
-3*n**2*(n - 1)**2*(n + 1)
Suppose -5*h + 4*o = 2 - 9, 2*o + 8 = 4*h. Let n(b) be the second derivative of -1/30*b**4 + 2/15*b**h - b + 0 - 1/5*b**2. Solve n(l) = 0 for l.
1
Suppose 0 = 3*f - 5*f + 5*f. Factor f - 2/11*y**2 + 0*y + 2/11*y**3.
2*y**2*(y - 1)/11
Let s(w) be the first derivative of -7*w**6/3 - 142*w**5/15 - 83*w**4/6 - 22*w**3/3 + 4*w**2/3 + 8*w/3 - 19. Solve s(p) = 0.
-1, -2/3, 2/7
Let j be (((-8)/(-3))/(-1))/(-2). Let z(r) be the second derivative of 1/6*r**4 + 4*r**2 + 0 - j*r**3 + 4*r. Factor z(u).
2*(u - 2)**2
Let w(g) = g**3 - 5*g**2 - 2*g + 2. Let d(r) = -12*r**3 + 66*r**2 + 27*r - 27. Let c(n) = 2*d(n) + 27*w(n). Let c(k) = 0. Calculate k.
0, 1
Find k such that 8/5*k**2 + 0 + 2/5*k**3 + 6/5*k = 0.
-3, -1, 0
Let r(v) be the second derivative of 0*v**3 + 1/80*v**5 + 0 - 1/120*v**6 + 0*v**2 + 0*v**4 + 5*v. Factor r(m).
-m**3*(m - 1)/4
Let d = -40 - -43. Let i(b) be the second derivative of -1/12*b**4 + 2*b + 0*b**2 + 0 + 1/6*b**d. Factor i(s).
-s*(s - 1)
Let w(p) be the first derivative of 3*p**5/5 + 3*p**4/2 + p**3 - 6. Factor w(k).
3*k**2*(k + 1)**2
Let j(y) be the second derivative of -3*y**5/10 - 3*y**4/4 - y**2/2 + 3*y. Let d(i) = -24*i**3 - 36*i**2 - 3. Let h(o) = -4*d(o) + 15*j(o). Factor h(a).
3*(a + 1)**2*(2*a - 1)
Let l(f) be the third derivative of -1/84*f**4 + 1/420*f**6 + 0*f**3 + 0*f - 2*f**2 + 0 - 1/210*f**5 + 1/735*f**7. Factor l(d).
2*d*(d - 1)*(d + 1)**2/7
Let t(u) be the second derivative of -u**4/9 - 2*u**3/3 - 4*u**2/3 + 36*u. Factor t(y).
-4*(y + 1)*(y + 2)/3
Let -5/2*r**3 + 0 - 5/2*r**2 + 0*r = 0. What is r?
-1, 0
Let o(m) be the second derivative of -2*m + m**2 - 1/12*m**4 - 1/15*m**5 + 0*m**3 + 0 - 1/60*m**6. Let x(f) be the first derivative of o(f). Factor x(z).
-2*z*(z + 1)**2
Suppose 120*j**2 + 6 + 48*j**2 - 24*j**4 + 57*j - 67*j**5 + 19*j**5 + 141*j**3 = 0. What is j?
-1, -1/4, 2
Let n(r) be the third derivative of 0*r + 1/30*r**5 - 1/6*r**3 - 3*r**2 + 0 + 1/10*r**6 - 3/70*r**7 - 1/6*r**4. Factor n(h).
-(h - 1)**2*(3*h + 1)**2
Let v(c) be the third derivative of 0*c**4 + 0*c**3 - 6*c**2 - 1/160*c**5 + 1/64*c**6 + 0 + 0*c - 1/140*c**7. Factor v(p).
-3*p**2*(p - 1)*(4*p - 1)/8
Let l = -1 - 3. Let a be (2 + 14/l)/(-1). Find k, given that 1/2*k**2 + 1 + a*k = 0.
-2, -1
Let t = 791 + -1579/2. Determine o, given that -t*o**3 + 1/4*o**4 + 3*o**2 + 0 - 2*o = 0.
0, 2
Let j(s) = s**2 - s - 4. Let l be j(3). Suppose 9 = l*o - o. Factor o*c**2 + 12*c**3 + 7*c**4 - 2*c + 0*c**2 - 6*c**2.
c*(c + 1)**2*(7*c - 2)
Suppose 0*u - 3*u = 15. Let s(l) = -5*l**2 + 2*l. Let d(j) = 4*j**2 - 2*j. Let k(m) = u*s(m) - 6*d(m). Factor k(f).
f*(f + 2)
Suppose -3*s = 5*g - 12 - 10, -2*s + g + 6 = 0. Factor 0 - 2/5*w**5 + 2*w**s - 4/5*w - 18/5*w**3 + 14/5*w**2.
-2*w*(w - 2)*(w - 1)**3/5
Let k be -1 + (2 - 1) - -2. Factor -3*o**k - o**2 - 2*o - 4*o + o**2 - 3.
-3*(o + 1)**2
Let h(w) be the first derivative of -w**6/3 - 4*w**5/5 + 4*w**3/3 + w**2 + 6. Factor h(b).
-2*b*(b - 1)*(b + 1)**3
Let t be 9/(1 + 2)*(-2 - -3). Let d(x) be the first derivative of x**2 - 4/35*x**5 + 4/7*x + 1/7*x**4 - 1/21*x**6 + 16/21*x**t - 3. Factor d(g).
-2*(g - 2)*(g + 1)**4/7
Let t(u) = u + 5 - 4 - 3 + 7. Let f be t(-4). Solve -9*m + f - 18*m**2 - 3*m - 3 + 0*m = 0 for m.
-1/3
Let -2*n + 2/5*n**4 - 4/5 + 2/5*n**3 - 6/5*n**2 = 0. Calculate n.
-1, 2
Let r(c) = -7*c**3 - c**2 + 3*c - 5. Let x be -2*5/((-15)/(-6)). Let w(h) = -6*h**3 + 2*h - 4. Let z(b) = x*r(b) + 5*w(b). Factor z(d).
-2*d*(d - 1)**2
Let j be (15 + -14)/(2/(-262)). Let y = -389/3 - j. Factor 0 - 8/9*p**4 - 8/9*p**2 + y*p**3 + 2/9*p**5 + 2/9*p.
2*p*(p - 1)**4/9
Let q(o) be the second derivative of o**7/2940 + o**6/1260 + 5*o**3/6 - 8*o. Let g(a) be the second derivative of q(a). Factor g(v).
2*v**2*(v + 1)/7
Factor -3/4*i**3 - 3/4*i**2 + 0 + 0*i + 3/4*i**4 + 3/4*i**5.
3*i**2*(i - 1)*(i + 1)**2/4
Let s be 45/(-54)*(-1)/5. Let o(f) be the second derivative of 0*f**2 - 1/3*f**3 - 3*f + 0 + s*f**4. Find x, given that o(x) = 0.
0, 1
Let t = -24 + 31. Let l(n) be the third derivative of 0 + 1/480*n**6 + 0*n + 0*n**5 + 0*n**3 - n**2 + 1/840*n**t + 0*n**4. Factor l(i).
i**3*(i + 1)/4
Let s be -5 - (11/(-3) + -2). Let v(x) be the first derivative of -1/21*x**6 - 9/14*x**4 + 2/7*x**5 + s*x**3 - 4 + 0*x - 2/7*x**2. Factor v(o).
-2*o*(o - 2)*(o - 1)**3/7
Let h = -78 + 43. Let t be ((-20)/h)/((-20)/(-14)). Solve -1/5*q + t - 1/5*q**2 = 0 for q.
-2, 1
Let o(j) be the first derivative of 0*j + 15/4*j**4 - 2*j**3 + 1/2*j**6 + 2 + 0*j**2 - 12/5*j**5. Factor o(a).
3*a**2*(a - 2)*(a - 1)**2
Let m(i) be the third derivative of i**8/420 - 8*i**7/105 + 29*i**6/30 - 6*i**5 + 18*i**4 - 144*i**3/5 + 2*i**2. Suppose m(v) = 0. What is v?
1, 6
Let l(o) be the second derivative of -o**4/54 - 2*o**3/9 - 5*o**2/9 + 16*o. Factor l(i).
-2*(i + 1)*(i + 5)/9
Solve 172/7*x**2 + 16/7 + 10/7*x**5 + 22*x**3 + 88/7*x + 64/7*x**4 = 0.
-2, -1, -2/5
Let k(o) be the second derivative of 3*o**5/40 + o**4/4 + o**3/4 - 4*o. Find u, given that k(u) = 0.
-1, 0
Let d(u) be the second derivative of u**7/63 + 2*u**6/45 - u. Let d(a) = 0. Calculate a.
-2, 0
Let n = -7316/27 - -271. Let z(k) be the second derivative of -n*k**3 + 1/54*k**4 + 0 - k + 0*k**2. Factor z(f).
2*f*(f - 1)/9
Factor 0*v + 0 - 2/5*v**2.
-2*v**2/5
Let d(u) be the first derivative of 49*u**5/110 + 175*u**4/66 + 8*u**3/3 + 12*u**2/11 - 5*u + 6. Let g(c) be the first derivative of d(c). Factor g(n).
2*(n + 3)*(7*n + 2)**2/11
Let p be 11 - (4 + -2 + 1). Let q be p/(-14)*(-5)/10. Factor -2/7*n + 2/7*n**4 + 0 - q*n**2 + 2/7*n**3.
2*n*(n - 1)*(n + 1)**2/7
Let p(n) = -n**2 - 8*n + 2. Suppose -6*l + l = 3*x + 52, 3*l = 5*x - 4. Let g be p(l). Suppose 2*d**3 - 2*d - 3*d**4 + d**2 + g*d = 0. Calculate d.
-1/3, 0, 1
Let r(i) be the third derivative of i**5/210 + i**4/14 + 3*i**3/7 + 2*i**2. Solve r(q) = 0 for q.
-3
Let o(t) = -