4/2 - 48*o**3 - o**2 + 137. Let m(k) = 0. What is k?
-8, 3
Let g be 0 + 4 + -2 + 2. Factor -k - 3*k**3 + 4*k + g*k**3 - 4*k + k**2 - k**4.
-k*(k - 1)**2*(k + 1)
Find g such that 76/7*g**3 + 8*g + 8/7 + 18/7*g**4 + 106/7*g**2 = 0.
-2, -1, -2/9
Let g(v) = v**3 + v + 2. Let d be g(0). Suppose -2*x = k - 8, -x = -2*k - d*x + 7. Solve -r**3 + r + 0*r**k + 1/2*r**4 - 1/2 = 0 for r.
-1, 1
Let k be ((-8)/10)/((-6)/(-75)*-5). Factor 0*i**5 + 2*i**3 + k*i**2 - 3*i**4 + i**5 + 520 - 519 - 3*i.
(i - 1)**4*(i + 1)
Let r(c) = c**2 - 2*c - 1. Let n(x) = 5*x**2 - 490*x - 11055. Let q(u) = -n(u) + 10*r(u). Determine l, given that q(l) = 0.
-47
Let v(s) be the first derivative of -5*s**4/4 - 25*s**3/3 - 20*s**2 - 20*s - 140. Factor v(g).
-5*(g + 1)*(g + 2)**2
Factor 2/9*y**3 + 20/9 - 20/9*y**2 - 2/9*y.
2*(y - 10)*(y - 1)*(y + 1)/9
Let i(o) = 3*o**2 + 128*o + 37. Let m(d) = 20*d**2 + 898*d + 258. Let x(g) = 44*i(g) - 6*m(g). What is k in x(k) = 0?
-20, -1/3
Let p(u) = -60*u - 33. Let s be p(2). Let l = s + 461/3. Factor 1/3*f**5 - l*f**2 + f**4 + 2/3*f**3 - f - 1/3.
(f - 1)*(f + 1)**4/3
Let g(n) be the second derivative of -n**7/35 - 16*n**6/75 + 3*n**5/10 + 8*n**4/15 - 4*n**3/5 + 437*n. Find d such that g(d) = 0.
-6, -1, 0, 2/3, 1
Factor -15*c - 19*c**2 + 1/3*c**4 - 7/3*c**3 + 36.
(c - 12)*(c - 1)*(c + 3)**2/3
Let o(s) be the first derivative of 4*s**3/9 - 428*s**2/3 + 45796*s/3 + 334. Find b, given that o(b) = 0.
107
Suppose -26*t + 28*t + 8 = -3*h, 8 = 2*h - 2*t. Suppose h + 0*v**4 - 1/4*v**5 + 1/2*v**3 + 0*v**2 - 1/4*v = 0. What is v?
-1, 0, 1
Let z be 4/26 + (-250)/(-65). Let m be 20/(-6)*z/(-5). Find t, given that -4/3*t**2 + 4/3*t**4 - 2*t**5 + m*t**3 + 0 - 2/3*t = 0.
-1, -1/3, 0, 1
Let v = -4 - -7. Let b be (-96)/120 + ((-21)/(-84) - 146/(-120)). Factor 2*g**v + 0 + 2/3*g**5 - 2*g**4 - b*g**2 + 0*g.
2*g**2*(g - 1)**3/3
Let k(s) = s**3 - 6*s**2 - 3*s. Let i(m) = m**2 + 4*m - 1. Let r be i(-5). Let q(o) = 6*o**2 + 3*o. Let x(v) = r*q(v) + 3*k(v). What is g in x(g) = 0?
-1, 0
Let o(y) be the second derivative of -y**7/2 + 17*y**6/15 + 3*y**5/10 - 8*y**4/3 + 5*y**3/2 - y**2 + 3*y - 2. Find n, given that o(n) = 0.
-1, 2/7, 1/3, 1
Let x(r) be the first derivative of -3*r**3 - 63*r - 5. Let q(s) = -s**2 - 8. Let o(h) = -33*q(h) + 4*x(h). What is g in o(g) = 0?
-2, 2
Let b be (0 - 0)/((-12)/6). Let 4*l**2 - l**5 - 1 + 0*l**5 + 2*l**3 - l**4 - l - 2*l**2 + b*l**5 = 0. Calculate l.
-1, 1
Let f(k) be the second derivative of -k**4/4 - 5*k**3/2 + 9*k**2 + 3*k. Factor f(z).
-3*(z - 1)*(z + 6)
Let a(r) = -r**2. Suppose 3 = -2*u + 1. Let j(v) = 5*v**2 + 4*v + 4. Let c(f) = u*j(f) - 4*a(f). Factor c(h).
-(h + 2)**2
Let j = -475 + 475. Let k(s) be the first derivative of -1/4*s**4 - 3 + j*s - 1/10*s**5 - 1/6*s**3 + 0*s**2. Suppose k(p) = 0. What is p?
-1, 0
Let p be (-9*(0 - 2))/(-1). Let i be (p/225)/(1/(-5)). Solve 0*y - i*y**3 + 0*y**2 + 0*y**4 + 0 + 2/5*y**5 = 0 for y.
-1, 0, 1
Let p(v) be the first derivative of -v**3/12 - v**2/2 - 3*v/4 - 62. Factor p(c).
-(c + 1)*(c + 3)/4
Factor 0 - 20*w - 4*w**2 + 11 + 13.
-4*(w - 1)*(w + 6)
Let l(t) be the second derivative of 3*t**4/4 - 10*t**3 - 21*t**2/2 - 2*t - 1. Solve l(z) = 0 for z.
-1/3, 7
Let s(g) be the second derivative of g**6/10 + 9*g**5/20 - 2*g**3 - 2*g + 10. Determine w, given that s(w) = 0.
-2, 0, 1
Let -14/5*v - 4/5*v**2 + 6/5 - 34/5*v**4 + 36/5*v**3 + 2*v**5 = 0. What is v?
-3/5, 1
Let p be 2144/(-432) - (-2 + -3). Let o(z) be the third derivative of 4/27*z**3 + 1/270*z**5 + 0 + 6*z**2 + 0*z + p*z**4. Determine f so that o(f) = 0.
-2
Let t be 122/8 - (-7)/(-28). Factor 37 + 44 + 3*k**2 - 99 + t*k.
3*(k - 1)*(k + 6)
Let s(w) = 2*w**5 + w**4 - w**3 - w**2 + 2*w. Let u(l) = 13*l**5 + 8*l**4 - 42*l**3 - 168*l**2 - 177*l. Let x(k) = 30*s(k) - 5*u(k). Solve x(i) = 0.
-3, 0, 7
Find y, given that y - 12/5 + 6/5*y**2 + 1/5*y**3 = 0.
-4, -3, 1
Let j(h) be the third derivative of h**5/420 + h**4/56 - 2*h**3/3 - 39*h**2 - 5. Factor j(r).
(r - 4)*(r + 7)/7
Let p(z) be the second derivative of z**6/15 - z**5/10 - 5*z**4/2 + 3*z**3 + 54*z**2 + 18*z - 6. Factor p(i).
2*(i - 3)**2*(i + 2)*(i + 3)
Let o(c) be the second derivative of c**8/13440 - c**7/2520 - 7*c**4/12 + 6*c. Let z(q) be the third derivative of o(q). Let z(u) = 0. What is u?
0, 2
Let p(d) = -20*d - 116. Let h be p(-6). Let s(g) be the third derivative of 0 + 1/120*g**h + 0*g - 1/300*g**5 + g**2 + 0*g**3. Solve s(l) = 0.
0, 1
Factor -1 - 3 - 9*z**3 - 6*z + 4*z**3 + 7*z**3.
2*(z - 2)*(z + 1)**2
Let j = -99 + 99. Suppose -i + 3*r = -5, j = i + 3*r + 3 - 2. Factor 1/2*p + 0 - 1/4*p**i.
-p*(p - 2)/4
Let h(t) = -45*t - 585. Let q be h(-13). Factor q*l + 0 + 0*l**3 + 0*l**2 + 0*l**4 - 5/2*l**5.
-5*l**5/2
Let w(v) be the second derivative of -21/40*v**5 - 1/40*v**6 - 3*v + 375/8*v**2 - 25/4*v**3 + 0 - 15/4*v**4. Suppose w(o) = 0. What is o?
-5, 1
What is u in -2*u + 36*u**2 - 110 - 43 + 14*u + 4*u - 4*u**3 + 9 = 0?
-2, 2, 9
Let o(b) = 2*b**3 - b**2 - 3*b - 1. Let s(w) = -6*w**3 - 92*w**2 - 1050*w + 1154. Let t(x) = -2*o(x) - s(x). Factor t(m).
2*(m - 1)*(m + 24)**2
Let v(h) be the first derivative of h**5/15 - 2*h**3/3 - 7*h**2 - 10. Let s(j) be the second derivative of v(j). What is f in s(f) = 0?
-1, 1
Let c(q) = 5*q**2 + 137*q + 54. Let j be c(-27). Factor j*n**2 + 4/9*n**3 + 0 + 0*n + 2/9*n**4.
2*n**3*(n + 2)/9
Factor -11/3*r**2 + 8/3*r + 20/3 + 1/3*r**3.
(r - 10)*(r - 2)*(r + 1)/3
Let w(j) be the third derivative of j**8/336 + j**7/42 + 7*j**6/120 - j**5/60 - j**4/3 - 2*j**3/3 - 14*j**2. Determine r, given that w(r) = 0.
-2, -1, 1
Suppose 4*x - 16 = 4*r - 3*r, -20 = -5*x - r. Let v be 2/5 - 32/180. Solve 2/9*u**x - v*u**3 + 0*u + 0*u**2 + 0 = 0 for u.
0, 1
Suppose 8*g = 10*g + 112. Let n = -54 - g. Determine f so that -8/3*f + 1/3*f**n + f**3 + 4/3 = 0.
-2, 2/3, 1
Let z = 18 - 15. Let 2*q**3 + 23*q**2 - 33*q**2 - 2*q**4 + z*q**3 + 4*q + 3*q**3 = 0. What is q?
0, 1, 2
Let z(p) be the second derivative of p**5/30 - p**4/18 - p**3/9 + p**2/3 + 50*p - 3. Factor z(j).
2*(j - 1)**2*(j + 1)/3
Let r(k) = 50*k**3 + 235*k**2 + 310*k + 80. Let g(h) = 2*h + 4. Let s(f) = 25*g(f) + r(f). Find b, given that s(b) = 0.
-2, -3/2, -6/5
Let v = -1/2 + 3/4. Let h be ((-7)/(-35))/(4/(-240)*-4). Find d, given that v*d - 5/4*d**h + 3/4*d**4 + 0 + 1/4*d**2 = 0.
-1/3, 0, 1
Let -1/4*z**2 + 0 + 1/4*z**3 - 3/2*z = 0. What is z?
-2, 0, 3
Let j(m) be the second derivative of 18*m + 0 + 1/15*m**6 + 1/2*m**5 + 7/3*m**3 + 2*m**2 + 3/2*m**4. Factor j(o).
2*(o + 1)**3*(o + 2)
Factor 697*w + w**2 - 682*w - 11 - 31 - 12.
(w - 3)*(w + 18)
Let z(t) = -16*t + 5*t**5 - 7 + 5 + 0 - 21*t**2 - 9*t**3 - 2 + 7*t**4. Let s(u) = -u**5 - u**4 + u**3. Let n(c) = 2*s(c) + z(c). Suppose n(q) = 0. Calculate q.
-1, -2/3, 2
Let l(r) = -r**3 - 2*r**2 + 3*r. Let y be l(-3). Let o = 2754 + -2752. Let -1/2*m**5 - 1/2*m**4 + 0*m + 0 + 0*m**3 + y*m**o = 0. What is m?
-1, 0
Let v(p) be the first derivative of p**6/2 + 6*p**5/5 + 3*p**4/4 + 46. Let v(l) = 0. Calculate l.
-1, 0
Determine b, given that 129*b**2 + 0*b - 156*b**2 + 6*b = 0.
0, 2/9
Let d = -13073 - -13075. Factor -2/5 + 0*h**d + 1/5*h**3 - 3/5*h.
(h - 2)*(h + 1)**2/5
Let n(g) be the first derivative of -15*g**4/4 - 204*g**3 - 477*g**2/2 + 120*g - 187. Let n(i) = 0. Calculate i.
-40, -1, 1/5
Suppose 0 = -6*o + 2*o - 2*n + 6, 2*o + 5*n = -1. Factor 3*v**4 + 21*v**3 - v**2 + v**o - 18*v**3.
3*v**3*(v + 1)
Let n(p) be the second derivative of p**6/240 - p**5/40 - 3*p**4/16 - 8*p**3/3 + 8*p. Let b(d) be the second derivative of n(d). Find v, given that b(v) = 0.
-1, 3
Let g be 8/(3 - 1)*-2. Let z(b) = 2*b**4 + 16*b**3 - 22*b**2 + 12*b. Let w(x) = x**4 - x**2 + x. Let p(m) = g*w(m) + z(m). Factor p(j).
-2*j*(j - 1)**2*(3*j - 2)
Suppose -5*m + 13 = 2*x, 0 = -4*m - 2 - 18. Let z = x + -7. Factor -4*c**2 - z + 5*c + 35*c - 52 - 8*c.
-4*(c - 4)**2
Let s(x) be the first derivative of x**4/8 + x**3/4 + 4*x + 14. Let m(b) be the first derivative of s(b). Factor m(j).
3*j*(j + 1)/2
Factor -17/6 - 8/3*v + 1/6*v**2.
(v - 17)*(v + 1)/6
Let m be 266/24 + 627/(-57). Let w(j) be the second derivative of -2*j + 0 - 1/2*j**2 + m*j**4 + 0*j**3. Factor w(t).
(t - 1)*(t + 1)
Let f(s) be the second derivative of -s**9/35280 + 3*s**8/15680 - s**7/2940 + 17*s**4/12 + s. Let v(y) be the 