7*a = 0.
-17, -2/9, 2/9
Let c = 774 - 986. Let x be (c/371)/(22/(-35)). What is o in -74/11*o - 28/11 - x*o**2 = 0?
-7, -2/5
Let n(r) = 109*r**3 - 100*r**2 - 21*r + 111. Let g(w) = -59*w**3 + 50*w**2 + 11*w - 56. Let l(t) = -11*g(t) - 6*n(t). Find q, given that l(q) = 0.
-1, 1, 10
Let z(n) be the third derivative of 2/3*n**5 - 3/20*n**6 + 5*n + 0*n**3 + 1/105*n**7 + 0 - n**4 - n**2. What is g in z(g) = 0?
0, 1, 2, 6
Let t(s) = 4*s**5 - 28*s**4 - 44*s**3 - 6. Let x(z) = z**5 - z**4 + 2*z**3 - 1. Let v(o) = t(o) - 6*x(o). Factor v(j).
-2*j**3*(j + 4)*(j + 7)
Factor 29053568/7 + 1464/7*j**2 - 2/7*j**3 - 357216/7*j.
-2*(j - 244)**3/7
Suppose 0 = -r + 8*d - 7*d + 2, 2 = r + 3*d. Suppose 3*i + 4 = 5*y, -2*i + 3*y = -r + 4. Factor 4/3*x + 4/3 + 1/3*x**i.
(x + 2)**2/3
Let c(x) = 7*x**2 - 462*x + 1628. Let m(y) = -3*y**2 + 240*y - 815. Let r(n) = 6*c(n) + 15*m(n). Factor r(d).
-3*(d - 273)*(d - 3)
Factor 8032/3 + 2024/3*j**2 - 8048/3*j - 4/3*j**3.
-4*(j - 502)*(j - 2)**2/3
Let s = 604/175 - 54/175. Solve -s*k + 36/7 + 2/7*k**2 = 0 for k.
2, 9
Find s, given that 3/8*s**4 - 480020256*s + 1052676*s**2 - 1026*s**3 + 82083463776 = 0.
684
Let k(w) = -5*w**3 + 35*w**2 + 750*w + 2448. Let v(m) = 26*m**3 - 172*m**2 - 3752*m - 12240. Let h(f) = 16*k(f) + 3*v(f). Let h(t) = 0. What is t?
-6, 34
Let l = -202741 + 202757. Let -8/5*t**3 + l*t**2 - 4/5*t**4 - 96/5*t + 0 = 0. What is t?
-6, 0, 2
Suppose 28206 = 14*t + 4*t. Factor -27*p**2 - t*p**3 + 1546*p**3 + 0 + 36*p + 12.
-3*(p - 1)*(p + 2)*(7*p + 2)
What is k in -10*k**4 + 7*k**5 - 3/7*k**3 + 0 + 20/7*k**2 + 4/7*k = 0?
-2/7, 0, 1
Let x = 536 + -536. Let n(h) be the second derivative of 0*h**2 - 19*h + 1/150*h**6 - 1/15*h**3 - 1/60*h**4 + x + 1/50*h**5. Solve n(u) = 0.
-2, -1, 0, 1
Let f(v) be the third derivative of v**5/60 - 719*v**4/24 - 120*v**3 - 5349*v**2. Factor f(k).
(k - 720)*(k + 1)
Suppose 3*i + 19 = 6*i - 2*r, i = -4*r + 25. Let i*o**3 - 11*o**3 - o + 4*o**3 - 2 + 2*o**2 - o = 0. What is o?
-1, 1
Let o(i) = -75435*i + 452613. Let r be o(6). Factor -4/9*z**2 + 0 + 7/3*z - 1/9*z**r.
-z*(z - 3)*(z + 7)/9
Let h(y) be the first derivative of -y**5/30 + y**3/3 + 2*y**2 + y + 19. Let o(i) be the second derivative of h(i). Solve o(n) = 0 for n.
-1, 1
Let y(i) be the third derivative of -i**7/2520 + i**6/240 - 107*i**4/24 + i**3/6 - 22*i**2. Let o(p) be the second derivative of y(p). Let o(z) = 0. What is z?
0, 3
Let a be (2/8 - (-15)/(-24))*(-14)/2205. Let g(p) be the third derivative of 0 + a*p**6 - 1/210*p**5 + 4*p**2 + 0*p**3 - 1/42*p**4 + 0*p. Factor g(m).
2*m*(m - 2)*(m + 1)/7
What is w in -576/7*w + 594/7*w**2 - 168 - 6/7*w**3 = 0?
-1, 2, 98
Factor 5*u + 310*u**4 - 53*u**3 - 2*u**5 - 5*u + 183*u**3 + 182*u**3.
-2*u**3*(u - 156)*(u + 1)
Suppose -4*y = 5*u - 55, -u - 25 + 12 = -4*y. Factor -u*d**2 + 11*d**2 + 13 - 2*d**5 + 8*d**4 + 0*d**4 - 10*d**3 - 13.
-2*d**2*(d - 2)*(d - 1)**2
Let f(g) = -1915*g - 3830. Let m be f(-2). Suppose -66/7*b**2 + m + 36/7*b + 6/7*b**4 + 24/7*b**3 = 0. Calculate b.
-6, 0, 1
Let o(f) = 11*f**3 + 23*f**2 - 52*f + 33. Let r(g) = -13*g**3 - 24*g**2 + 51*g - 34. Let n = 52 - 49. Let z(x) = n*r(x) + 4*o(x). Factor z(c).
5*(c - 1)**2*(c + 6)
Solve -2*x - 1/3*x**2 - 8/3 = 0.
-4, -2
Factor 79*i + 6026*i**2 - 3028*i**2 - 2999*i**2.
-i*(i - 79)
Let d(j) be the second derivative of j**5/35 - 51*j**4/14 + 76*j**3/21 - 2685*j. Determine h, given that d(h) = 0.
0, 1/2, 76
Suppose 4*w + p = 11, 557*p = 3*w + 553*p + 6. Let i(o) be the second derivative of w*o**2 - 13*o - 8/3*o**3 + 7/12*o**4 + 0. Factor i(f).
(f - 2)*(7*f - 2)
Let a(h) be the second derivative of -h**3 + 7/4*h**4 + 1/2*h**6 - 4*h + 0*h**2 - 1/14*h**7 - 27/20*h**5 + 9. What is m in a(m) = 0?
0, 1, 2
Factor -8346562/9 - 964/9*f**3 + 51520/3*f**2 + 2/9*f**4 - 8191036/9*f.
2*(f - 161)**3*(f + 1)/9
Let o = -3543/4 + 894. Let b be 3830/(-560) + 9 - (3 - (-19)/(-7)). Factor 3 + b*i**2 - o*i.
3*(i - 4)*(5*i - 2)/8
Let x(u) be the second derivative of -35/3*u**3 - 25/4*u**4 + 16*u - 1/4*u**5 + 0*u**2 - 5. Solve x(y) = 0 for y.
-14, -1, 0
Let x(h) be the first derivative of 3*h**4 - 78*h**3/7 - 27*h**2/7 + 1280. Solve x(s) = 0 for s.
-3/14, 0, 3
Let y(v) be the third derivative of 0 - 1/12*v**3 + 11/240*v**5 - 1/96*v**4 - 11/480*v**6 + 1/280*v**7 - 56*v**2 + 0*v. Factor y(r).
(r - 2)*(r - 1)**2*(3*r + 1)/4
Let g be (-18)/(-7) + -2 + (-76)/((-14364)/2727). What is d in 5/3*d**2 - g - 40/3*d = 0?
-1, 9
Let j(u) = u**3 + 447*u**2 + 1666*u + 1692. Let c(s) = 6*s**3 + 2535*s**2 + 9441*s + 9588. Let d(i) = -10*c(i) + 57*j(i). Factor d(q).
-3*(q - 47)*(q + 2)**2
Factor -1/5*g**2 + 114/5 - 13/5*g.
-(g - 6)*(g + 19)/5
Suppose -2*p + 50 = -28. Let f = p + -37. Factor -f + n**3 - 1 + 3 + n**2.
n**2*(n + 1)
Let -h**3 + 155 + 4*h**4 + 30*h**3 - 600*h**2 + 31*h**3 - 11*h**3 - 15 + 407*h = 0. What is h?
-20, -1/4, 1, 7
Let b(y) be the first derivative of 7*y**5/5 + 25*y**4 + 203*y**3/3 + 67*y**2 + 24*y - 9658. Factor b(d).
(d + 1)**2*(d + 12)*(7*d + 2)
Suppose 2*t + 40 = -a, 15 = -3*t + 3*a - 27. Let k be (-8 + 57/6)*(-8)/t. Factor 0 - 2/3*x**4 - 2*x - k*x**3 + 10/3*x**2.
-2*x*(x - 1)**2*(x + 3)/3
Let m(l) be the second derivative of -17*l**5/30 - 52*l**4/9 + 107*l**3/9 + 14*l**2/3 - 11*l + 41. Let m(s) = 0. Calculate s.
-7, -2/17, 1
What is t in 5991*t**2 + 399*t**4 - 3933*t - 3060*t**3 + 344 - 2249*t + 13304*t**5 + 1814*t - 13310*t**5 + 700 = 0?
1/2, 1, 6, 58
Let r(n) be the third derivative of n**5/60 - 195*n**4/4 - 1172*n**3/3 - 2117*n**2. Factor r(z).
(z - 1172)*(z + 2)
Suppose 0 = -c + 5*q + 13, -5*q = 5. Let t be 188/48*-2 + c. Factor -1/3 - t*d**3 - 2/3*d**2 - 5/6*d.
-(d + 1)**2*(d + 2)/6
Let c(g) = -6*g + 133. Let v be c(19). Suppose 0 = 8*k - 7*k - 4*y - v, 5*k - 3*y - 27 = 0. Determine d so that 2/7*d**k + 8/7*d + 0 - 8/7*d**2 = 0.
0, 2
Suppose -205*a = -214*a + 135. Let m be a/(495/121) + (3 - 0). Determine g so that 20/3*g**2 - 4/3*g**3 + 4/3*g - m = 0.
-1, 1, 5
Find q such that 46225 - 429/2*q**3 - 45793/2*q**2 + 47085/2*q - 1/2*q**4 = 0.
-215, -1, 2
Suppose 0 = 5*f - 4*n - 514, 7 = 2*n - 1. Suppose f*j - 15 = 101*j. Factor 2 - 1 + 2*m**2 - j*m**4 - 5*m + 8*m - m**5 + m**3 - 3*m**3.
-(m - 1)*(m + 1)**4
What is a in 24*a**2 + 51*a - 15*a**2 - 18*a**2 - 26 - 9*a**2 - 6*a**2 - a**3 = 0?
-26, 1
Let t = -2079 + 2079. Let d(g) be the third derivative of 13*g**2 + t*g**3 - 3/10*g**5 - 1/5*g**6 - 4/105*g**7 + 0 + 0*g**4 + 0*g. Factor d(b).
-2*b**2*(2*b + 3)**2
Suppose -5*a + c - 53 = 0, 0 = a - 5*c + 2 - 1. Let x(s) = s**3 + 10*s**2 - 11*s + 2. Let d be x(a). Factor 1/3*o**d + 1 + 4/3*o.
(o + 1)*(o + 3)/3
Let m be (-1 + 2)*7/(-3269). Let p = m + 1408/3269. Let h**4 - 3/7*h**2 + 0 - 3/7*h**3 - p*h**5 + 2/7*h = 0. Calculate h.
-2/3, 0, 1
Factor -541*v - 10*v**2 + 75*v - 1440 + 14*v**2 - 979*v - 9*v**2.
-5*(v + 1)*(v + 288)
Factor 2/11*s**2 - 16/11*s + 14/11.
2*(s - 7)*(s - 1)/11
Let y(g) be the third derivative of 5*g**8/84 + 73*g**7/105 + 41*g**6/30 - 148*g**5/15 - 104*g**4/3 - 128*g**3/3 + 9312*g**2. Solve y(t) = 0.
-4, -4/5, -1/2, 2
Let x be 49/(-42) - (-32)/16. Let s(k) be the first derivative of 0*k - 5/6*k**2 + 0*k**5 - 5/18*k**6 + x*k**4 + 12 + 0*k**3. Let s(q) = 0. What is q?
-1, 0, 1
Factor -69/7*p**3 - 3/7*p**4 + 0 - 45/7*p**2 + 3*p**5 + 0*p.
3*p**2*(p + 1)**2*(7*p - 15)/7
Suppose 759 = 14*f + 731. Find z such that 1/4*z**f - 3/4 + 1/2*z = 0.
-3, 1
Factor 556/7*s + 200 - 4/7*s**3 - 80/7*s**2.
-4*(s - 7)*(s + 2)*(s + 25)/7
Suppose 30*l = 33*l - 6. Suppose -i + 3*q = 6, -5*i + 1 = -3*q - 5. Let 15*m**l - 13*m**2 - 2*m - 4*m**i - 7*m**2 - m**4 = 0. Calculate m.
-2, -1, 0
Let o(m) be the second derivative of 1/36*m**5 + 0 + m + 40/9*m**3 + 5/9*m**4 + 3/2*m**2. Let d(q) be the first derivative of o(q). Find h, given that d(h) = 0.
-4
Let u(b) be the first derivative of 82/5*b - 2/15*b**3 - 8*b**2 - 139. Find f, given that u(f) = 0.
-41, 1
Let l(a) = 2*a**3 - 65*a**2 + 57*a. Let y(t) = -15*t**3 + 520*t**2 - 455*t. Suppose -75 = 13*f - 16*f. Let p(u) = f*l(u) + 3*y(u). Factor p(c).
5*c*(c - 12)*(c - 1)
Suppose 4*d - 17*d - 8*d + 588 = 0. Let o(p) be the third derivative of 1/2*p**3 + 19/48*p**4 + 1/40*p**5 + 0*p + 0 + d*p**2. Factor o(z).
(z + 6)*(3*z + 1)/2
Let h(b) be the first derivative of -b**7/42 - b**6/12 + 5*b**5/12 + 5*b**4/4 + 1