j(t) - 4*s(t). Factor u(m).
(m - 34)*(5*m + 2)
Suppose -3*c + o = -2*o - 18, -c = -3*o - 14. Suppose 6*d - 5*n - 54 = c*d, -2*n = -5*d + 59. Factor d*a**2 + a**4 + a**4 - 13*a**2.
2*a**2*(a - 1)*(a + 1)
Suppose 35*l - 126 = 17*l. Let o(f) be the second derivative of 0*f**2 + 1/2*f**3 - l*f + 0 + 1/4*f**4. Suppose o(q) = 0. Calculate q.
-1, 0
Let v(c) be the third derivative of c**6/840 + 47*c**5/420 - 25*c**4/28 - 314*c**2. Let v(t) = 0. What is t?
-50, 0, 3
What is t in 22/13 - 24/13*t + 2/13*t**2 = 0?
1, 11
Let o be 60/14*700/30. Let b = -100 + o. Factor -2/9*d**3 + 2/3*d**2 + b*d - 8/9.
-2*(d - 2)**2*(d + 1)/9
Find w, given that 8/17*w**4 + 0 - 8/17*w**2 + 6/17*w**3 - 8/17*w + 2/17*w**5 = 0.
-2, -1, 0, 1
Let y(d) be the first derivative of -6 + 2*d**2 - 3/2*d**4 - 13/15*d**3 - 4/5*d - 9/25*d**5. Suppose y(k) = 0. What is k?
-2, 1/3
Let c(h) = 2*h**2 + 121*h - 311. Let z be c(-63). Determine d so that 0*d + 1/3*d**2 - 1/3*d**z - 1/3*d**3 + 0 + 1/3*d**5 = 0.
-1, 0, 1
Let -2/7*h**2 + 0 + 2/7*h**4 - 4/7*h**3 + 4/7*h = 0. Calculate h.
-1, 0, 1, 2
Suppose 3*a = 2*k + 5, -190*k + 186*k = -5*a + 7. Find q such that 24/7*q + 2/7*q**a - 16/7 - 12/7*q**2 = 0.
2
Let j(w) = w - 1. Suppose 6*x + 2*s - 10 = 2*x, -8 = -2*x - 2*s. Let d(r) = -r**2 - 5*r + 8. Let v(o) = x*d(o) + 6*j(o). Factor v(t).
-(t - 2)*(t + 1)
Let f(k) = -78*k + 1331. Let h be f(17). Let a(l) be the third derivative of 0*l**4 + 12*l**2 + 0 + 0*l**3 + 0*l - 1/180*l**h. Suppose a(t) = 0. Calculate t.
0
Let 27*z**4 + 5*z**4 - 42*z**4 + 44*z**3 - 2*z**5 - 32*z**2 = 0. What is z?
-8, 0, 1, 2
Let h = 18 + -22. Let j(p) = p**4 + p**2 + p + 1. Let f(x) = -2*x**5 - 4*x**4 - 6*x**3 + 12*x**2 + 12*x + 4. Let u(m) = h*j(m) + f(m). What is v in u(v) = 0?
-2, -1, 0, 1
Let l be (-2)/(-1) + (14 - 1). Let f be (-3)/((-20)/l*(-6)/(-4)). Solve 1 + f*d + 1/2*d**2 = 0.
-2, -1
Factor 3*v - 4 - 1/2*v**2.
-(v - 4)*(v - 2)/2
Let l = 69 + -45. Factor 32 + l*a**2 + 8*a**3 + 4*a**3 - 48*a - a**3 - 15*a**3.
-4*(a - 2)**3
Let i(w) = 4*w**3 - 13*w**2 - 5*w. Let t(o) = 4*o**3 - 12*o**2 - 4*o. Let x(g) = 4*i(g) - 5*t(g). Determine k so that x(k) = 0.
0, 2
Let q(o) be the first derivative of -2*o**3 + 3/2*o**2 + 18 + 0*o + 3/4*o**4. Factor q(k).
3*k*(k - 1)**2
Let t(k) = -k**4 - k**3 - k**2 + k. Let w = -13 + 14. Let v(b) = -3*b**5 - 6*b**4 - 21*b**3 - 15*b**2 + 15*b. Let g(n) = w*v(n) - 15*t(n). Solve g(r) = 0.
0, 1, 2
Let v = 2810/3 + -936. What is q in 2*q + 4/3*q**2 + 0 - v*q**3 = 0?
-1, 0, 3
Let d(g) be the second derivative of -11*g**4/15 - 36*g**3/5 + 2*g**2 - 14*g - 2. What is x in d(x) = 0?
-5, 1/11
Factor -180*q**5 + 2*q**4 + 350*q**5 - 171*q**5.
-q**4*(q - 2)
Let w(u) be the first derivative of -u**4 + 0*u - 2*u**2 - 36 - 8/3*u**3. Factor w(y).
-4*y*(y + 1)**2
Let b(g) be the second derivative of g**6/30 + 2*g**5/5 + 19*g**4/12 + 2*g**3 - 164*g. What is k in b(k) = 0?
-4, -3, -1, 0
Factor -2/17*u**4 + 0*u**2 + 2/17 - 4/17*u + 4/17*u**3.
-2*(u - 1)**3*(u + 1)/17
Let l(n) = -2*n**3 + 18*n**2 + 23*n - 30. Let u be l(10). Find o such that u + 2/5*o**3 + 8/5*o**2 + 8/5*o = 0.
-2, 0
Let b(h) be the second derivative of -h**4/24 + 3*h**3/4 - 7*h**2/2 + h + 4. Determine v so that b(v) = 0.
2, 7
Let p(l) = -142*l**4 + 120*l**3 + 606*l**2 + 394*l - 20. Let b(w) = -47*w**4 + 40*w**3 + 203*w**2 + 131*w - 6. Let n(j) = 10*b(j) - 3*p(j). Factor n(d).
-4*d*(d + 1)**2*(11*d - 32)
Let a(t) be the second derivative of -30*t + 0*t**2 + 6/5*t**5 - 16/15*t**6 + 0 + 50/3*t**3 + 40/3*t**4 + 2/21*t**7. Factor a(n).
4*n*(n - 5)**2*(n + 1)**2
Let f(b) be the third derivative of 0 + 7/480*b**6 + 1/20*b**5 - 1/12*b**3 + 2*b**2 + 1/32*b**4 + 0*b. Let f(p) = 0. What is p?
-1, 2/7
Suppose -772*r + 353 = -1963. Solve -5/4*y**r + 1/2 + 1/4*y**4 - 7/4*y + 9/4*y**2 = 0 for y.
1, 2
Factor -1620*l**3 - 16/3 + 612*l**2 - 32*l.
-4*(9*l - 2)**2*(15*l + 1)/3
Let f(g) = -g**2 - g. Let a(z) = 14*z**2 + 70*z - 100. Let t(p) = -a(p) - 16*f(p). Suppose t(m) = 0. What is m?
2, 25
Let o = -62 + 162. Suppose 28 = -4*r + o. Let 10*x + 9*x**3 - r - 34*x + 6 - 3*x**2 = 0. Calculate x.
-1, -2/3, 2
Let v = -99709/118 - -845. Let f = v - -467/590. Determine y, given that f*y**4 + 8/5*y**3 - 4/5 + 0*y**2 - 8/5*y = 0.
-1, 1
Let n(k) be the first derivative of k**3/4 + 339*k**2/2 + 38307*k - 653. Determine u so that n(u) = 0.
-226
Suppose -3*z = -5*b - 5, 3*b + 5 - 2 = z. Let c(p) be the first derivative of z*p**2 - 8/3*p**3 + 0*p - 4/5*p**5 + 7 + 3*p**4. Factor c(h).
-4*h**2*(h - 2)*(h - 1)
Let s(c) be the first derivative of -5/2*c**2 - 7 + c**3 - 2*c - 4/5*c**5 + 2*c**4. Factor s(q).
-(q - 2)*(q - 1)*(2*q + 1)**2
Let u = -9787/5 - -1947. Let y = 161/15 + u. Factor -k**3 + 2/3 + k - 1/3*k**2 - y*k**4.
-(k - 1)*(k + 1)**2*(k + 2)/3
Factor -2*p - 30*p**2 + 12 - 26*p**2 + 54*p**2.
-2*(p - 2)*(p + 3)
Let u be (2/6)/((-80)/(-75) + -1). What is a in 96*a**2 - 4*a**3 - 22*a**4 - 64*a + 31*a**u - 35*a**5 - 2*a**4 = 0?
-4, 0, 1
Let w be (29/3 + -8)/((-1)/(-3)). Let d(r) be the second derivative of -1/2*r**4 + 0 + 2*r - r**3 - 1/10*r**w - r**2. Determine y so that d(y) = 0.
-1
Let h(o) be the third derivative of 0*o**3 + 0*o + 5/24*o**4 + 38*o**2 + 1/12*o**5 + 2. Factor h(g).
5*g*(g + 1)
Suppose -93 + 19 + n - 95*n - 31 + 9*n + 25*n**2 + 5*n**3 = 0. Calculate n.
-7, -1, 3
Suppose 0 + 3*t**2 + 0*t + 3/7*t**4 - 24/7*t**3 = 0. What is t?
0, 1, 7
Let s = -2 + 4. Let g(y) = -y**2 + 37*y - 66. Let f be g(35). Suppose 1/2*x**3 + 0 + 1/4*x**f + 0*x + 0*x**s = 0. What is x?
-2, 0
Let o(f) be the second derivative of -f**5/60 - f**4/12 + f**3/2 - 7*f**2 + 10*f. Let i(t) be the first derivative of o(t). Factor i(r).
-(r - 1)*(r + 3)
Factor -37*v**3 - 11*v**2 - 40*v**3 - v**4 + 71*v**3 + 18*v - 24*v.
-v*(v + 1)*(v + 2)*(v + 3)
Let r(m) be the third derivative of -7*m**6/24 - 113*m**5/12 - 10*m**4/3 + 11*m**2 - 7*m. Find q such that r(q) = 0.
-16, -1/7, 0
Let c = -236 - -516. Let t be 4/(-18) - c/(-126). Determine r so that 2/5*r**5 + 6/5*r**4 + 6/5*r**3 + 0 + 2/5*r**t + 0*r = 0.
-1, 0
Factor 4*i + 20 - 8 - 11 + 9*i**4 - 4*i**4 - 4*i**3 - 6*i**2.
(i - 1)**2*(i + 1)*(5*i + 1)
Let x be 6/33 + 477*38/132. Let q(n) be the first derivative of 10*n - 140/3*n**3 - x*n**4 + 250*n**5 - 625/6*n**6 + 55/2*n**2 + 1. What is f in q(f) = 0?
-1/5, 2/5, 1
Let r(o) be the third derivative of o**11/221760 + o**10/60480 + o**9/60480 - 3*o**5/20 + 5*o**2. Let j(i) be the third derivative of r(i). Factor j(l).
l**3*(l + 1)*(3*l + 2)/2
Suppose 4*i - 3*r + 3 = 9, -3*i + 15 = 3*r. Factor 3*w**2 + 4 + 0 - w + 0*w**4 + w**i - 2*w**4 - 5.
-(w - 1)**2*(w + 1)*(2*w + 1)
Let m(n) be the second derivative of n**4/18 - n**3/2 - 13*n**2/3 - 9*n - 3. Factor m(i).
(i + 2)*(2*i - 13)/3
Let q(h) be the third derivative of -1369*h**5/140 - 37*h**4/28 - h**3/14 - 80*h**2 + 1. Determine s, given that q(s) = 0.
-1/37
Suppose -3*p - 4 = -19. Suppose -25 = 5*z - p*v, -z - 3*v - 30 = -45. Find j such that z*j - 3/4*j**5 - 3*j**4 + 0 - 15/4*j**3 - 3/2*j**2 = 0.
-2, -1, 0
Let q be (-33)/(-11) + (-934)/(-10). Let h = -96 + q. Determine k, given that 0*k + 4/5*k**2 + h*k**5 + 0 + 8/5*k**4 + 2*k**3 = 0.
-2, -1, 0
Let a be (-4)/60*(-1317)/1*1. Let q = -87 + a. Determine z, given that 0 - q*z - 2/5*z**2 = 0.
-2, 0
Suppose 70/3*a + 5/6*a**3 - 20 - 25/3*a**2 = 0. What is a?
2, 6
Let g(b) be the second derivative of b**6/30 - b**5/4 - b**4/12 + 5*b**3/6 - b - 11. What is p in g(p) = 0?
-1, 0, 1, 5
Let c be ((-3)/(-12))/((-5)/(-100)). Suppose 2*y = c*r - 51 + 20, 5*y = -3*r + 31. Factor r*h + 5 - 2*h + h - 5*h**4 + 4*h - 10*h**3.
-5*(h - 1)*(h + 1)**3
Let w(i) = i**2 + i - 1. Let l(u) = 2*u**3 - 3*u**2 - 9*u + 5. Suppose 16*o - 11*o + 5 = 0. Let y(v) = o*l(v) - 5*w(v). Solve y(b) = 0 for b.
-2, 0, 1
Let j(k) = -k**3 + 28*k**2 - 60*k - 31. Let z be j(26). Let x = z + 242. Factor -1/2*i**2 - 1/2*i**x + 0*i + 0.
-i**2*(i + 1)/2
Let j(s) be the second derivative of -s**6/1980 + 2*s**5/165 + 4*s**3 + 6*s. Let w(v) be the second derivative of j(v). Factor w(f).
-2*f*(f - 8)/11
Suppose -5*n - 172 = -9*n. Suppose 13*c**2 - n*c + 16*c + 8*c**2 + 6 = 0. Calculate c.
2/7, 1
Let i(g) be the first derivative of -g**6/20 + 9*g**5/40 + g**4/8 - 3*g**3/4 - 32*g + 30. Let r(m) be the first derivative of i(m). Factor r(q).
-3*q*(q - 3)*(q - 1)*(q + 1)/