*4 + 2*k**5 + 4*k**2 = 0.
-1, 0, 1
Let n(b) be the first derivative of b**4/4 - 2*b**3 + 5*b**2/2 + 2*b - 6. Let p be n(5). Find u such that -5/3*u + 2/3*u**p + 2/3 = 0.
1/2, 2
Let t(g) be the first derivative of -1/15*g**3 - 5 + 0*g - 3/10*g**2. Factor t(w).
-w*(w + 3)/5
Let d(q) be the first derivative of -q**8/5040 - q**7/840 - q**6/540 - q**3/3 - 1. Let h(w) be the third derivative of d(w). Factor h(x).
-x**2*(x + 1)*(x + 2)/3
Let x(z) be the second derivative of 0*z**2 - 4*z + 0 + 3/50*z**6 + 7/60*z**4 - 3/20*z**5 - 1/30*z**3. Find k, given that x(k) = 0.
0, 1/3, 1
Let q(c) be the first derivative of 12/25*c**5 - 1/5*c**4 - 2/3*c**3 - 1/6*c**6 + 9/10*c**2 - 3 - 2/5*c. Solve q(p) = 0.
-1, 2/5, 1
Let m(h) be the first derivative of 4*h**5/5 + 2*h**4 - 16*h**3/3 - 4*h**2 + 12*h - 5. Suppose m(u) = 0. Calculate u.
-3, -1, 1
Solve 1/2*j**2 - 6*j + 18 = 0 for j.
6
Find x, given that 5/2*x**2 - 1/2 + 1/2*x + 3/2*x**3 = 0.
-1, 1/3
Let a(w) be the second derivative of 1/16*w**2 + 9*w + 0 + 1/24*w**3 - 1/80*w**5 - 1/96*w**4. Determine z, given that a(z) = 0.
-1, -1/2, 1
Let v = 5 - 3. Find y, given that -y**v - 1 + 0*y**2 + 5*y - 8 + y = 0.
3
Let o(j) = -15*j**3 - 17*j**2 - 16*j. Let s(c) = 8*c**3 + 8*c**2 + 8*c. Let t(f) = -4*o(f) - 7*s(f). Factor t(y).
4*y*(y + 1)*(y + 2)
Let u be 96/300*15/6. Factor 0 - 2/5*k**2 - u*k.
-2*k*(k + 2)/5
Let n = 81/356 - -2/89. Let c(a) be the second derivative of 0 + a**3 + 4*a + 0*a**2 + n*a**4. Suppose c(o) = 0. Calculate o.
-2, 0
Let z(h) = 5*h**3 - 3*h**2 - 2. Let o(r) = 15*r**3 - 8*r**2 - 7. Let c(u) = -2*o(u) + 7*z(u). Factor c(m).
5*m**2*(m - 1)
Let c = 289 + -287. Let 2/9*s**c - 4/3*s + 2 = 0. Calculate s.
3
Let y be -2 + -1 + 2 - -3. Factor 5*i**3 - 63*i**y + 57*i**2 + 13*i**3 - 4*i.
2*i*(3*i - 2)*(3*i + 1)
Let j = 3 - -25. Let l = j - 25. Suppose 0*k + 0 + 2/11*k**2 - 2/11*k**l = 0. What is k?
0, 1
Suppose 0 = -5*d + 12 + 3. Factor 0*m - 1/4*m**2 + 1/4*m**d + 1/4*m**4 - 1/4*m**5 + 0.
-m**2*(m - 1)**2*(m + 1)/4
Let a be (-12)/14*(-16)/(-24). Let x = -2/7 - a. Factor -x*l**3 - 8/7*l**2 - 8/7*l + 0.
-2*l*(l + 2)**2/7
Let 3/2*t**3 - 3/2*t**4 + 0*t**2 + 0 + 0*t = 0. Calculate t.
0, 1
Let x = -35 + 40. Let k(z) be the first derivative of 1/2*z**4 + z - 1/5*z**x + 0*z**3 - z**2 + 3. Let k(t) = 0. Calculate t.
-1, 1
Factor -28/9*y**3 - 4/3*y**4 - 2/9*y**5 - 32/9*y**2 - 4/9 - 2*y.
-2*(y + 1)**4*(y + 2)/9
Let f(i) be the third derivative of 0*i - 1/40*i**6 + 3/350*i**7 + 1/8*i**4 - 3*i**2 + 0 - 1/100*i**5 - 1/5*i**3. Find v such that f(v) = 0.
-1, 2/3, 1
Let a(s) be the second derivative of -s**5/150 + s**4/15 - 4*s**3/15 + s**2 - 3*s. Let k(o) be the first derivative of a(o). Find b, given that k(b) = 0.
2
Let h(g) = -g**3 - g**2 - 1. Let c(t) = 21*t**3 - 6*t**2 + 3*t + 9. Let q(w) = c(w) + 9*h(w). Factor q(p).
3*p*(p - 1)*(4*p - 1)
Suppose 7*d + 7 = 4*l + 2*d, 0 = d - 1. Factor -3/2*r + 0*r**l + 0 + 9/4*r**2 - 3/4*r**4.
-3*r*(r - 1)**2*(r + 2)/4
Let f(u) be the second derivative of -u**6/80 - u**5/15 + u**4/12 - u**3 + 5*u. Let i(b) be the second derivative of f(b). Find c, given that i(c) = 0.
-2, 2/9
Suppose -5*h + 45 = 5*w, 2*h + 0*h + w - 14 = 0. Let j(i) be the first derivative of 0*i**4 + 0*i**2 - 2 - 2/5*i**h + 0*i + 2/3*i**3. Factor j(t).
-2*t**2*(t - 1)*(t + 1)
Let j(q) be the first derivative of -4/5*q**5 - 1/3*q**6 - 2 + 0*q**3 + 0*q**2 - 1/2*q**4 + 0*q. Factor j(f).
-2*f**3*(f + 1)**2
Let j(z) = 0*z + 4*z - z - 7 + z**2. Let s be j(-5). Factor 0*g**2 + 1/3*g**s + 0*g + 1/3*g**4 + 0.
g**3*(g + 1)/3
Let k(u) = -u**3 + 6*u**2 + 9*u - 9. Let t be k(7). Suppose 2*a - 5*b + 2*b = 0, 0 = -2*a - t*b. Find v such that a - 2/7*v**2 - 2/7*v**3 + 4/7*v = 0.
-2, 0, 1
Determine q, given that 2*q**3 + 0 - 6*q**2 + 6 + 4 - 2 = 0.
-1, 2
Let q = 3383/7 + -483. Find o such that 8/7 + 0*o - q*o**2 = 0.
-2, 2
Let i be 23/3 + 2/(-3). Let q be ((-1)/i)/((-5)/10). Factor 4/7*h**2 + q*h + 0 + 2/7*h**3.
2*h*(h + 1)**2/7
Let p(c) = 2*c**2 + 9*c - 6. Let j(g) = -g**2 - 8*g + 7. Let n(l) = 3*j(l) + 2*p(l). Determine a, given that n(a) = 0.
3
Factor -4/11*z + 6/11*z**2 + 0*z**3 + 0 - 2/11*z**4.
-2*z*(z - 1)**2*(z + 2)/11
Let t(f) be the second derivative of -f**5/120 + f**4/36 + 10*f. Find i such that t(i) = 0.
0, 2
Let k(i) be the first derivative of -5*i**4/8 - 25*i**3/6 - 15*i**2/2 + 9. Suppose k(g) = 0. Calculate g.
-3, -2, 0
Let k(d) be the first derivative of -d**7/105 + d**6/36 - d**5/45 + d**2/2 + 5. Let a(p) be the second derivative of k(p). Let a(b) = 0. Calculate b.
0, 2/3, 1
Let p(s) be the third derivative of 3*s**6/80 + s**5/4 + 9*s**4/16 + s**3/2 + 20*s**2. Determine h so that p(h) = 0.
-2, -1, -1/3
Let u(b) = -b**2 - 6*b + 3. Let v be u(-6). Solve -x**4 + 4*x**v - 2*x**3 + 0*x**3 - x**4 = 0 for x.
0, 1
Let s(f) = -f**5 - 6*f**4 - 2*f**3 + 2*f**2 - 2. Let i(r) = r**5 + 7*r**4 + 2*r**3 - 2*r**2 + r + 3. Let a(j) = -3*i(j) - 4*s(j). Factor a(c).
(c - 1)*(c + 1)**4
Let t(i) be the first derivative of 0*i - 1/6*i**2 - 1/12*i**4 + 2/9*i**3 - 7. Factor t(y).
-y*(y - 1)**2/3
Solve 0 - 4/3*u - 13/3*u**2 - 1/3*u**5 - 7/3*u**4 - 5*u**3 = 0 for u.
-4, -1, 0
Let t(k) be the second derivative of -k**4/54 + 4*k**3/27 - k**2/3 - 6*k. Let t(g) = 0. What is g?
1, 3
Find x, given that 12*x**3 + 3*x**5 + 8*x**4 + 22*x - x**5 + 8*x**2 - 20*x = 0.
-1, 0
Let -8*b**2 - b**2 - b**2 + 2*b**2 + 2*b**3 = 0. What is b?
0, 4
Suppose 0 = l - 35 + 31. Let m(r) = -4*r + 3 + 0 + 2*r**2 - 5. Let u(h) = -1. Let t(k) = l*u(k) - m(k). Determine s, given that t(s) = 0.
1
Let q(z) be the third derivative of z**5/3 + z**4/2 - 4*z**3/3 + z**2. Suppose q(a) = 0. What is a?
-1, 2/5
Let l be (-3)/(-6)*3/6. Let -l*j**2 - 1 + j = 0. Calculate j.
2
Let r(t) = 3*t - 31. Let k be r(12). Let d(p) be the third derivative of 2*p**2 + 1/50*p**k + 1/200*p**6 + 0*p**3 + 0*p + 0 + 1/40*p**4. Factor d(s).
3*s*(s + 1)**2/5
Let i = -11 + 13. Factor 2*o**3 - 2*o**5 + 0*o**5 - i*o + 2*o**3.
-2*o*(o - 1)**2*(o + 1)**2
Let g(t) be the second derivative of t**5/110 + t**4/33 + t**3/33 + 4*t. Let g(x) = 0. What is x?
-1, 0
Let i(n) be the first derivative of -3*n**4/32 + n**3/8 - 6. Solve i(r) = 0 for r.
0, 1
Let m(g) = -5*g**4 - g**3 + 6*g**2 - 6*g. Let j(n) = -4*n**4 - n**3 + 5*n**2 - 5*n. Let h(b) = 6*j(b) - 5*m(b). Factor h(r).
r**3*(r - 1)
Let m(d) be the first derivative of -3*d**4/20 + d**3/5 + 6*d**2/5 - 12*d/5 - 39. Factor m(p).
-3*(p - 2)*(p - 1)*(p + 2)/5
Let r(d) be the second derivative of 7*d + 0 + 0*d**3 - 1/4*d**4 + 0*d**2 + 1/28*d**7 - 1/5*d**6 + 3/8*d**5. Factor r(y).
3*y**2*(y - 2)*(y - 1)**2/2
Let w(h) = -2*h**2 - 136*h - 262. Let y be w(-66). Factor 4/5*g - 2/5*g**3 - 2/5*g**y + 0.
-2*g*(g - 1)*(g + 2)/5
Let i(t) be the third derivative of t**5/390 + t**4/39 - t**2. Factor i(p).
2*p*(p + 4)/13
Factor -3735 + 5*m**3 + 14750 + 225*m**2 + 3375*m + 5860.
5*(m + 15)**3
Let a(d) be the third derivative of d**6/24 - d**5/3 - 10*d**4/3 + 160*d**3/3 + d**2 - 1. Factor a(q).
5*(q - 4)**2*(q + 4)
Suppose -24 = -4*k - 4. Suppose -j = -3*j + 3*d - k, 2*j + 2 = 2*d. Let 1 + 2*c + 6*c**j - 6 + 1 = 0. Calculate c.
-1, 2/3
Let a(o) be the second derivative of -5*o + 1/8*o**4 + 0 + 3/40*o**5 - 1/4*o**3 - 3/4*o**2. Suppose a(n) = 0. Calculate n.
-1, 1
Let r = -286 - -2004/7. Factor -2/7*i**2 - r - 4/7*i.
-2*(i + 1)**2/7
Let p be (-30)/8 + (-2)/8. Let i = p + 7. Factor -k**4 + 16*k**2 - 12*k**3 - 8*k + 2*k**3 + i*k**4.
2*k*(k - 2)**2*(k - 1)
Let d(t) = -t**2 - 4*t. Let g be d(-4). Suppose 0 = 5*n + o - 12, -4 = -2*o. Let -2*u**2 + 8*u + g*u**n + 0*u**2 - 8 = 0. What is u?
2
Let k(w) = 7*w**4 + 8*w**3 + 5*w**2 - 4*w. Let y(v) = 57*v**4 + 63*v**3 + 39*v**2 - 33*v. Let i(j) = -33*k(j) + 4*y(j). Factor i(u).
-3*u**2*(u + 1)*(u + 3)
Let i(o) = -2*o**2 - 7*o. Let f(r) = 2*r**2 + 6*r. Suppose -46 = -3*a - 7. Suppose -11 = 4*q + a. Let p(c) = q*i(c) - 7*f(c). Factor p(b).
-2*b**2
Let v = -244/315 + 11/14. Let q(o) be the third derivative of v*o**5 + 0 + 4/9*o**3 + 1/9*o**4 + 0*o + 3*o**2. Suppose q(d) = 0. What is d?
-2
Let p = -371 - -373. Let r = 271/5 - 54. Factor 0*l + r*l**p + 0 - 1/5*l**5 - 3/5*l**3 + 3/5*l**4.
-l**2*(l - 1)**3/5
Let i be (11 - 612/54)*(1 - 1). Factor -5/2*b - 40*b**3 - 20*b**2 + i.
-5*b*(4*b + 1)**2/2
Let y(z) = -z**2 + 13*z + 14. Let p be y(14). Factor 22*q