3 = 0.
-1, -2/9, 0, 1
Let k(m) be the second derivative of 1/6*m**4 - 111*m + 2*m**2 - m**3 + 0. Factor k(y).
2*(y - 2)*(y - 1)
Solve 628849/3 - 1057/4*g**2 - 209352*g - 1/12*g**3 = 0.
-1586, 1
Let d(v) be the second derivative of v**5/4 - 50*v**4/3 + 385*v**3/6 - 95*v**2 + 289*v. Solve d(m) = 0.
1, 38
Let r(v) be the first derivative of -14*v**5/15 + 2*v**4/3 + 76*v**3/9 + 12*v**2 + 6*v - 5889. Find m such that r(m) = 0.
-1, -3/7, 3
Let k(u) be the first derivative of 2*u**3/9 - 13*u**2/3 - 136*u/3 + 139. Solve k(a) = 0.
-4, 17
Let h(r) be the third derivative of -7/6*r**4 + 8/3*r**3 + r**2 + 0*r + 1/10*r**5 + 1/15*r**6 - 1/105*r**7 + 14. Factor h(a).
-2*(a - 4)*(a - 1)**2*(a + 2)
Solve 2 + 1/2*d**4 - 37/6*d**3 - 2/3*d + 5/6*d**5 - 17/2*d**2 = 0 for d.
-2, -1, 2/5, 3
Factor 27/7*v**2 + 0 + 1/7*v**3 - 4*v.
v*(v - 1)*(v + 28)/7
Let h be 1461 + ((-29)/87)/(3/27). Let t = 1462 - h. Suppose 2/3*v**t - 64/3*v + 32/3 + 16*v**2 - 16/3*v**3 = 0. Calculate v.
2
Let w(g) = 4*g**5 - 28*g**4 - 34*g**3 - 2*g**2 - 2*g + 4. Let b(y) = -y**3 - y**2 - y + 2. Let u(m) = -2*b(m) + w(m). Factor u(d).
4*d**3*(d - 8)*(d + 1)
Let w = 48177 + -48174. Suppose 2*g - 2*g**w - 2/3*g**4 + 0 + 2/3*g**2 = 0. Calculate g.
-3, -1, 0, 1
Suppose -488*a + 2*g = -486*a + 6, 0 = a - 5*g + 23. Suppose -1/2*l**4 + 0 + 0*l**3 + 0*l + 1/2*l**5 + 0*l**a = 0. What is l?
0, 1
Factor 157/5*l + 1/5*l**2 - 158/5.
(l - 1)*(l + 158)/5
Let j = 7210777 - 2091123139/290. Let b = j - 8/145. Suppose -65/4*s**3 - 5/4*s**5 + 0 - b*s**4 - 5*s - 15*s**2 = 0. Calculate s.
-2, -1, 0
Let i = -236650 + 236654. Factor -1/8*k**i + 11/8*k**2 + 9/8*k**3 - 9/8*k - 5/4.
-(k - 10)*(k - 1)*(k + 1)**2/8
Suppose -248/9*t + 2/9*t**4 + 38/9*t**3 - 16*t**2 + 352/9 = 0. Calculate t.
-22, -2, 1, 4
Let s(j) be the first derivative of 2/75*j**5 - 22/45*j**3 + 1/15*j**4 - 4/5*j**2 + 75 + 24/5*j. Factor s(w).
2*(w - 2)**2*(w + 3)**2/15
Let k be (-4065)/25 + 0 - (-9)/15. Let s be 1 - k/(-21) - -7. Factor -1/7*r**3 + 0*r**2 + 3/7*r - s.
-(r - 1)**2*(r + 2)/7
Let x(g) be the second derivative of 17*g**4/48 - 11*g**3/8 - g**2/4 - 697*g. Factor x(j).
(j - 2)*(17*j + 1)/4
Factor 1/2*l**4 + 2 - 2*l - 3/2*l**2 + l**3.
(l - 1)**2*(l + 2)**2/2
Solve -265*z - 1807 - z**2 + 169*z + 4*z - 755*z - 961*z = 0.
-1807, -1
Let f be 11/(-99) + (-3619)/(-9). Let c = f - 6028/15. Determine i so that 0*i**3 + c*i**5 + 2/15*i**4 + 0*i**2 + 0 + 0*i = 0.
-1, 0
Let h = -210618 + 210621. Let t = -2/2239 - -49268/11195. Factor 0 - t*m**2 - 6/5*m**h - 12/5*m.
-2*m*(m + 3)*(3*m + 2)/5
Let r = 126/5 - 872/35. Suppose 74*a - 9622 + 9622 = 0. Factor 6/7*p + a - r*p**2.
-2*p*(p - 3)/7
Let c be ((-39)/(-4) + 308/(-44))*6/33. Determine i so that 3*i**2 + 5/2*i**3 + c*i**4 - 4 - 2*i = 0.
-2, 1
Let u(p) be the third derivative of 0*p**3 + 1/24*p**6 - 3*p**2 - 25*p - 15/4*p**4 - 17/12*p**5 + 0. Factor u(r).
5*r*(r - 18)*(r + 1)
Let y = -13951 + 13957. Let l(x) be the third derivative of -10*x**2 + 0*x + 1/30*x**y + 16/3*x**3 - 5/3*x**4 + 0 + 1/15*x**5. Find j, given that l(j) = 0.
-4, 1, 2
Let v(y) be the first derivative of -2*y**3/15 + 26*y**2/5 - 288*y/5 - 1785. Factor v(f).
-2*(f - 18)*(f - 8)/5
Let v be (15 + (-145)/10)*0. Factor 9*r - 3*r**2 - 3/4*r**3 + v.
-3*r*(r - 2)*(r + 6)/4
Let j(u) be the second derivative of u**3/2 - u**2/2 - 6*u. Let k be j(1). Let 8*m + 3*m**k - 9*m**2 + 2*m**2 + 12 = 0. Calculate m.
-1, 3
Suppose -28*k + 504 = 0, 79*k - 35*k = -5*i + 43*k + 113. Factor -361/2*w + i*w**2 - 1/2*w**3 + 0.
-w*(w - 19)**2/2
Let b(f) be the third derivative of -f**5/105 + 416*f**4/21 - 346112*f**3/21 + 2602*f**2. Factor b(d).
-4*(d - 416)**2/7
Let c(t) be the first derivative of -t**6/30 - 229*t**5/25 - 453*t**4/10 - 1354*t**3/15 - 901*t**2/10 - 45*t - 9811. Factor c(i).
-(i + 1)**4*(i + 225)/5
Let u(k) be the first derivative of 2/3*k**3 + 6*k - 340 - 4*k**2. Determine m so that u(m) = 0.
1, 3
Let u(g) = -g**2 - 7*g - 7. Let n(i) = -2*i - 2. Let f(q) = 7*n(q) - 2*u(q). Let l be f(1). Determine r, given that -6*r**2 - 20 - 16*r**l + 27*r**2 + 15*r = 0.
-4, 1
Let s be 1/2 + 1/(-14). Let b be 247143/44359*4/26. Determine c, given that b*c**3 + 0*c + 0 + 9/7*c**2 - s*c**4 = 0.
-1, 0, 3
Let i(g) = -24*g**3 - 223*g**2 + 6*g + 3. Let n(p) = -27*p**3 - 224*p**2 + 8*p + 4. Let s(o) = 4*i(o) - 3*n(o). Let s(a) = 0. What is a?
-44/3, 0
Let p(n) be the second derivative of -n**4/6 + 11*n**3/3 - 18*n**2 - 53*n - 2. Determine m so that p(m) = 0.
2, 9
Let i(q) = -q**3 - 4*q**2 + 12*q + 12. Let m be i(-7). Let 5/2*h**4 - 400 + m*h**2 - 55/2*h**3 + 80*h = 0. What is h?
-2, 4, 5
Let y(a) be the second derivative of a**7/112 - a**6/80 + 640*a. Factor y(c).
3*c**4*(c - 1)/8
Let c(j) be the second derivative of -32 + 1/140*j**5 + 4*j + 0*j**2 + 4/21*j**4 + 55/42*j**3. What is r in c(r) = 0?
-11, -5, 0
Let m = 41189/315 + -915/7. Let l(o) be the first derivative of 16 + m*o**3 + 2/15*o - 2/15*o**2. Factor l(k).
2*(k - 1)**2/15
Let d(x) = x**3 - x**2 - x. Suppose 19*b = 14*b + 50. Let k(j) = 2*j**5 - 6*j**4 - 13*j**3 + 5*j**2 + 5*j. Let p(h) = b*d(h) + 2*k(h). What is r in p(r) = 0?
-1, 0, 4
Let r(z) be the first derivative of -z**3/12 - 29*z**2/2 - 963*z/4 - 8076. Factor r(c).
-(c + 9)*(c + 107)/4
Suppose -n = 2*i - 465, 2*n = -7*i + 2*i + 1164. Let t = 239 - i. Factor -18/7*w**3 + 15/7*w**4 + 0 - 12/7*w**2 + 24/7*w - 3/7*w**t.
-3*w*(w - 2)**3*(w + 1)/7
Factor 72/7*q - 2/7*q**2 - 58.
-2*(q - 29)*(q - 7)/7
Solve 3/4*b**4 + 2835/4*b**2 - 81/2*b**3 - 3969*b + 0 = 0.
0, 12, 21
Suppose -61*q - 4*i = -65*q + 40, 4*q - 44 = 2*i. Let r(a) be the first derivative of 1/3*a**3 + q - 7*a**2 + 49*a. Let r(h) = 0. What is h?
7
Let s(x) be the second derivative of -1/6*x**6 + 25/2*x**2 - 5/3*x**4 - 3*x + 5*x**3 + 1 - 3/2*x**5. Factor s(g).
-5*(g - 1)*(g + 1)**2*(g + 5)
Let f be (42350/(-2079) + 20)/(238/120 + -2). Factor 18*v**2 + 280/3*v + f + 8/9*v**3.
2*(v + 10)**2*(4*v + 1)/9
Suppose y = 2*a - y, 0 = 2*y - 4. Let k be (-187)/(-22) - a/4. Let -16 + 68*r**2 + 42*r**3 + 30*r**3 + k*r**4 + 14*r**4 - 2*r**4 = 0. What is r?
-2, -1, 2/5
Let k(s) = -s**3 + 120*s**2 - 119*s + 12. Let h(w) = -4*w**3 + 598*w**2 - 594*w + 56. Let a(y) = -3*h(y) + 14*k(y). Factor a(o).
-2*o*(o - 1)*(o + 58)
Let z(t) be the second derivative of -t**7/168 - 131*t**6/30 - 34059*t**5/40 + 34453*t**4/12 - 69169*t**3/24 + 3771*t. Let z(c) = 0. What is c?
-263, 0, 1
Let i(g) be the third derivative of g**5/270 + 521*g**4/108 - 58*g**3/3 - 4133*g**2. Find k such that i(k) = 0.
-522, 1
Solve -48 - 575*a**5 + 226*a + 194*a**5 + 188*a**5 - 47*a**4 + 50*a**3 + 187*a**5 + 365*a**2 = 0.
-8, -2, -1, 1/6, 3
Let x(c) = -c**3 - 4*c**2 - 7*c + 6. Let r be x(-3). Let k be 42/r - 45/27. Factor -4/3 + 2/3*t**2 - k*t.
2*(t - 2)*(t + 1)/3
Let s(d) = 45836*d**2 + 5136*d + 152. Let u(q) = 5*q**2 + 1. Let x(j) = s(j) - 8*u(j). Let x(m) = 0. What is m?
-6/107
Suppose -186*u = 275*u - 493 - 21635. Determine c, given that 192/5 - 24/5*c**4 + 48/5*c**2 - u*c + 3/5*c**5 + 48/5*c**3 = 0.
-2, 2, 4
What is t in 262428672*t + 1452*t**4 + 87228416 + 112267863*t**2 + 2778*t**4 + 64421353*t**2 + 1493186*t**3 + 24*t**5 - 20*t**5 = 0?
-352, -1, -1/2
Let i(m) be the first derivative of 0*m**2 - 3/16*m**4 + 0*m + 0*m**3 + 1/5*m**5 - 24 - 1/24*m**6. Factor i(y).
-y**3*(y - 3)*(y - 1)/4
Let s be 2/3 - (9/(-27))/1. Let n(v) = -2*v**2 - v - 1. Let r(g) = 8*g**2 - 9*g + 65. Let b(f) = s*r(f) + 5*n(f). Factor b(k).
-2*(k - 3)*(k + 10)
Factor -4/3*y**4 + 0 - 2700*y**2 - 120*y**3 + 0*y.
-4*y**2*(y + 45)**2/3
Let o = -3415 + 3415. Let u(l) be the third derivative of 0*l + o*l**3 + 1/120*l**5 - 1/480*l**6 + 0*l**4 - 1/420*l**7 + 0 + 33*l**2 + 1/1344*l**8. Factor u(r).
r**2*(r - 2)*(r - 1)*(r + 1)/4
Let o(j) be the third derivative of 14*j**2 + 0 - 1/6*j**4 - j + 2/45*j**5 + 0*j**3 + 1/90*j**6. Factor o(k).
4*k*(k - 1)*(k + 3)/3
Solve 23104/9 - 22/9*i**4 - 41444/3*i**2 - 3326/9*i**3 + 104576/9*i = 0 for i.
-76, -2/11, 1
Let -22/3*t**5 + 0 - 88/9*t**3 + 230/9*t**4 - 8/3*t**2 + 0*t = 0. Calculate t.
-2/11, 0, 2/3, 3
Let h = -3786 + 3791. Let w(z) be the second derivative of h*z + 0*z**3 - 1/3*z**4 + 2*z**2 + 0. Solve w(x) = 0 for x.
-1, 1
Let v(n) be the third derivative of -27*n**2 + 25/8*n**4 - 1/210*n**7 - 11/12*n**5 + 0*n**3 + 13/120*n**6 + 2 + 0*n. Suppose v