k**4 + 4/3*k - 2/3*k**2 + 0 - 4/3*k**h = 0 for k.
-1, 0, 1, 2
Let f(v) be the third derivative of -v**6/360 + v**5/40 - v**4/12 + 35*v**3/6 + 3*v**2 + 3. Let p(k) be the first derivative of f(k). Factor p(z).
-(z - 2)*(z - 1)
Let w be (0*1*((-16)/(-4) + -5))/1. Factor 1/7*k**4 + w*k**3 + 0*k - 1/7*k**2 + 0.
k**2*(k - 1)*(k + 1)/7
Let y = 67/364 + 6/91. Suppose 1/2*t**3 + 0 + 0*t**2 + 0*t - 1/4*t**4 - y*t**5 = 0. Calculate t.
-2, 0, 1
Suppose 5*q + 9 - 74 = -2*z, -4*q - 20 = -2*z. Suppose -12*r + 4 + z = 0. Let -1/2 + 1/2*j**2 + 2*j - r*j**3 = 0. Calculate j.
-1, 1/4, 1
Let n be -3 + 42/3 - 3. Factor -9*v**4 - 3*v**3 - v**2 + n*v**4 + v**3.
-v**2*(v + 1)**2
Let p(q) be the second derivative of q**7/7 - 11*q**6/10 + 69*q**5/20 - 23*q**4/4 + 11*q**3/2 - 3*q**2 + 268*q. Factor p(t).
3*(t - 2)*(t - 1)**3*(2*t - 1)
Suppose 0 = 2*j - 0 + 4, -9 = -h + 4*j. Let v(q) = q**2 + 7*q + 5. Let k(c) = -c**2 + c + 1. Let a(i) = h*v(i) - k(i). Factor a(o).
2*(o + 1)*(o + 2)
Let -252/5*u**3 - 576/5*u + 0 - 3/5*u**5 + 9*u**4 + 624/5*u**2 = 0. Calculate u.
0, 3, 4
Let 34/5*r**2 + 18/5*r + 14/5*r**3 - 2/5*r**4 + 0 = 0. Calculate r.
-1, 0, 9
Let q = 59 - 44. Determine g, given that 16*g**5 - g**4 - 3*g**3 + g**2 - q*g**5 + 0*g**4 + 2*g = 0.
-1, 0, 1, 2
Determine j so that -1/2*j + 3/2*j**3 - 1/8*j**4 - 27/8*j**2 + 9/2 = 0.
-1, 2, 9
Let x(h) be the first derivative of h**4/6 - 10*h**3/9 + 2*h**2/3 + 16*h/3 + 729. Determine w, given that x(w) = 0.
-1, 2, 4
Let t = -135791/8 + 16974. Factor t*c**2 + 1/8*c + 0.
c*(c + 1)/8
Let a = -40 - 175. Let n = -2363/11 - a. Factor -6/11*q + 6/11*q**3 - 2/11*q**2 + n*q**4 + 0.
2*q*(q - 1)*(q + 1)*(q + 3)/11
Find o, given that 48/7*o + 240/7*o**3 - 75/7*o**4 + 0 + 228/7*o**2 = 0.
-2/5, 0, 4
Let f be 258 - 6 - (-7)/((-7)/2). Find a such that -6 + f*a - 122*a - 119*a - 3*a**2 = 0.
1, 2
Suppose -4*b = -4 - 12. Suppose -3*q + 4*f + 29 = 0, 2*q - 7*q + b*f = -35. Let -a**2 - a**2 - 6*a**4 + 2*a**q - 8*a**3 - 2*a**5 = 0. What is a?
-1, 0
Let d be ((-12)/36)/((-1)/9). Let w = 5 - d. Find l, given that 2*l + 3*l**2 - 2*l**w + 6*l - 5*l**2 = 0.
0, 2
Let v(i) be the third derivative of -10/3*i**3 - 5/6*i**4 + 0 + 20*i**2 - 1/12*i**5 + 0*i. Factor v(l).
-5*(l + 2)**2
Let o(h) = -14*h**2 - 4*h + 4. Let z(g) = 29*g**2 + 7*g - 9. Let l(a) = 13*o(a) + 6*z(a). Let l(p) = 0. Calculate p.
-1, -1/4
Let c = -127 + 131. Factor -7*j**4 + 14*j**4 - 5*j**4 + 4*j - 4*j**c + 8*j**2 - 4*j**3 - 6.
-2*(j - 1)**2*(j + 1)*(j + 3)
Suppose b = 4*f + 12, -2*b + 24 = f - 4*f. Let v be 76/b + -7 + 46/42. Factor 9/7 - v*y - 8/7*y**2 + 4/7*y**3.
(y + 1)*(2*y - 3)**2/7
Suppose 15/4*v - 3/2 + 9/4*v**2 = 0. Calculate v.
-2, 1/3
Let r(y) be the first derivative of y**5/90 - 5*y**4/18 + y**3 + 15*y**2/2 + 21. Let j(k) be the second derivative of r(k). Factor j(h).
2*(h - 9)*(h - 1)/3
Solve 17/3*r**3 + 0*r - 19/3*r**4 + 0 + 2/3*r**2 = 0 for r.
-2/19, 0, 1
Let l be (-8)/10*(-360)/9. Suppose -l*p + 98*p + 20 - 4*p**2 - 50*p = 0. What is p?
-1, 5
Let i(x) be the second derivative of x**5/45 + x**4/6 + 4*x**3/9 - 5*x**2/2 + 2*x. Let g(o) be the first derivative of i(o). Determine d so that g(d) = 0.
-2, -1
Suppose 3*h + m - 25 = 0, -19 = -h - 4*m - 7. Let p be h*(-5 + (-55)/(-10)). Find y such that 0*y - 4/3*y**3 - p*y**2 + 16/3 = 0.
-2, 1
Let h(d) be the third derivative of -d**8/560 + d**7/140 - d**5/20 + d**4/8 + d**3 - 11*d**2. Let q(y) be the first derivative of h(y). Factor q(v).
-3*(v - 1)**3*(v + 1)
Suppose -88*w**4 - 88*w**2 + 6*w + 72 - 14*w**3 + 6*w + 4*w**5 + 104*w**4 - 2*w**3 = 0. What is w?
-3, -1, 1, 2
Let k be (-116)/(-28) - (-3)/(-21). Suppose 2*z + 2*r - 5 = 3*r, 4*r - k = 0. Factor -8*d + 2 + z*d + 8*d**2 + 2 - 5*d - 2*d**3.
-2*(d - 2)*(d - 1)**2
Let g(q) be the third derivative of q**6/540 - 7*q**5/270 - 10*q**4/27 - 44*q**3/27 + q**2 - 580*q. Find h such that g(h) = 0.
-2, 11
Let w be 100/15*2/5*3. Let -11*p - 16 - 5*p - w*p - 4*p**2 - 4 = 0. Calculate p.
-5, -1
Let d = 0 - -4. Factor -2*n**5 + 155*n**d - n**5 - n**3 - 154*n**4 - n**2 + 4*n**5.
n**2*(n - 1)*(n + 1)**2
Determine r, given that -1/3*r**4 - 1/3*r + 1/3*r**3 + r**2 - 2/3 = 0.
-1, 1, 2
Let u(x) be the first derivative of 2*x**3/3 - 3*x**2 + 4*x + 233. Find m, given that u(m) = 0.
1, 2
Let c(t) be the third derivative of t**8/336 - 9*t**7/280 + 13*t**6/96 - 31*t**5/120 + t**4/8 + t**3/3 - t**2 - 34*t. Factor c(y).
(y - 2)**3*(y - 1)*(4*y + 1)/4
Find u such that -15*u**2 - 25*u**2 + 6*u + 55*u**2 + 3*u - 18*u**2 = 0.
0, 3
Suppose -n + 18 = -5*q + 1, -4*n = -2*q - 14. Factor -6/7*o + 2/7*o**3 + 4/7*o**n + 0.
2*o*(o - 1)*(o + 3)/7
Let m = 32 - 9. Let o = m + -59/3. Factor 8/9*a**5 + 0 + o*a**3 - 14/9*a**2 + 2/9*a - 26/9*a**4.
2*a*(a - 1)**3*(4*a - 1)/9
Suppose -3 = 11*u - 12*u. Factor 10*f**2 + 8*f - 21*f + 8*f - 5*f**u.
-5*f*(f - 1)**2
Let s(n) = n**3 - 2*n**2 - 6*n - 3. Let f(b) = -2*b**3 + 4*b**2 + 13*b + 7. Let l(w) = 3*f(w) + 7*s(w). Factor l(u).
u*(u - 3)*(u + 1)
Let r(m) be the first derivative of -1 - 5*m + 1/6*m**4 - 1/4*m**3 - 1/4*m**2. Let i(y) be the first derivative of r(y). Factor i(b).
(b - 1)*(4*b + 1)/2
Let s = 1549 + -162644/105. Let r(q) be the second derivative of -q + 0*q**2 - s*q**7 + 0*q**6 + 0 + 0*q**5 + 0*q**3 + 0*q**4. Factor r(b).
-2*b**5/5
Let p = -33/14 - -113/42. Let i(w) be the second derivative of 7/20*w**5 + 0*w**2 - 2/3*w**3 + 3*w + 1/14*w**7 + p*w**4 - 1/3*w**6 + 0. Factor i(s).
s*(s - 2)*(s - 1)**2*(3*s + 2)
Suppose -3*i = -15, -5*j + 3*i + 4 = 19. Let n(v) be the first derivative of 1/33*v**6 + 0*v**2 + 0*v**3 + 0*v**4 - 8 + 2/55*v**5 + j*v. Factor n(f).
2*f**4*(f + 1)/11
Let z(k) = 4*k**3 + 8*k + 300. Let j(g) = -g**2 - g. Let q(m) = -28*j(m) - z(m). Factor q(u).
-4*(u - 5)**2*(u + 3)
Let q = 843/2 + -5893/14. Suppose -q*r + 0 + 2/7*r**3 + 2/7*r**2 = 0. What is r?
-2, 0, 1
Suppose -a + 7*a = 0. Let s(j) be the first derivative of -3/5*j**5 - 2*j**3 - 9/4*j**4 + a*j**2 + 0*j + 1. Let s(z) = 0. Calculate z.
-2, -1, 0
Let l(c) = -2*c - 27. Let x(z) = -z - 14. Let i(o) = 3*l(o) - 7*x(o). Let v be i(-13). Factor 2*d**v + 3*d + d + 0*d - 6*d**2.
2*d*(d - 1)**2*(d + 2)
Let k(r) be the second derivative of r**7/56 + r**6/8 - 21*r**5/40 + r**4/8 + 13*r**3/8 - 21*r**2/8 - 30*r. Let k(b) = 0. What is b?
-7, -1, 1
Let u be 6 - (-2 - (-3 + 2)). Let f = u + -3. Solve 2*c**3 - 40*c + 20*c + 18*c + c**f - 1 = 0 for c.
-1, 1
Let c(w) = -2*w - 2. Let y be c(-2). Suppose -8 = y*m - 0. Let k(o) = 2*o**2 - o. Let d(u) = -u**2 + 2*u. Let j(l) = m*k(l) - 5*d(l). Factor j(g).
-3*g*(g + 2)
Suppose -4*t + 2 = -5*m - 7, -5*m = -3*t + 8. Let b be 351/81 + t/(-3). Factor 0 - 4*a**3 + 2/3*a + 7/3*a**b + a**2.
a*(a - 1)**2*(7*a + 2)/3
Solve 2/11*p**2 + 16/11*p + 30/11 = 0.
-5, -3
Suppose -739 - 165 = -226*v. Solve 5/4*a**2 + 0*a**3 - 1 - 1/4*a**v + 0*a = 0.
-2, -1, 1, 2
Let o be (-82)/4*(-2)/(-4). Let s = o + 21/2. Solve 1/2*u + 3/4*u**2 - s = 0.
-1, 1/3
Let p(c) be the first derivative of 8*c**5/25 - 431*c**4/10 + 7704*c**3/5 + 2916*c**2/5 + 776. Suppose p(b) = 0. What is b?
-1/4, 0, 54
Let o(f) be the third derivative of f**5/20 - f**3/2 - 229*f**2. Factor o(a).
3*(a - 1)*(a + 1)
Let y be 1/((-54)/(-12) - 4). Let q(s) be the second derivative of 0*s**y + 4*s - 1/12*s**4 + 0 + 1/6*s**3. Factor q(p).
-p*(p - 1)
Let k(d) be the third derivative of -10*d**2 + 0*d + 0*d**3 - 1/240*d**5 - 1/960*d**6 + 1/2688*d**8 + 0*d**4 + 1/840*d**7 + 0. Factor k(a).
a**2*(a - 1)*(a + 1)*(a + 2)/8
Let w(m) be the second derivative of -m**7/14 + 3*m**5/10 - m**3/2 + m - 40. Find k, given that w(k) = 0.
-1, 0, 1
Let 201/8*m + 12*m**2 + 51/4 - 3/8*m**3 = 0. Calculate m.
-1, 34
Suppose 0 = 2*m + 4*v - 14 - 12, -3*m - v + 19 = 0. Suppose l**2 + 253*l**5 + 251*l**5 - l**4 - l**3 - 503*l**m = 0. Calculate l.
-1, 0, 1
Let a(v) be the second derivative of v**4/24 + 5*v**3/12 - 3*v**2/2 - 6*v. Suppose a(t) = 0. Calculate t.
-6, 1
Solve 4*z**2 + 0 + 0*z**3 + 0*z - 3/4*z**4 - 1/8*z**5 = 0.
-4, 0, 2
Factor -o**2 - 12 - 13 + 2*o**2 + 0*o**2 + 1 - 23*o.
(o - 24)*(o + 1)
Factor -2/11*x**5 + 24/11*x**4 + 0 + 56/11*x**2 - 18/11*x - 60/11*x**3.
-2*x*(x - 9)*(x - 1)**3/11
Factor 1/3*h**5 + 66*h**2 + 6*h**4 - 72 + 107/3*h**3 - 36*h.
(h - 1)*(h + 1)*(h + 6)**3/3
Let g = -106 - -117. Let p(s) = 16*s**3 - 7*s**2 - 11*s - 20. Let b(r