for r.
-149, 1
Suppose 3*i + q - 1 = -29, -3*q = i - 4. Let n be (-36)/630*(i + 6). Determine c so that 4/7*c**2 + 0 + 0*c + n*c**4 - 6/7*c**3 = 0.
0, 1, 2
Let h(c) = 36*c**3 + 91*c**2 + 48*c - 16. Let z(g) = -54*g**3 - 136*g**2 - 72*g + 24. Let m(l) = -14*h(l) - 9*z(l). Factor m(x).
-2*(x + 1)*(x + 2)*(9*x - 2)
Let j(l) be the second derivative of l**7/84 + l**6/10 - l**5/40 - 19*l**4/12 + 8*l**2 - 1036*l. Find b such that j(b) = 0.
-4, -1, 1, 2
Let g(h) be the second derivative of h**5/15 + 5*h**4/3 + 28*h**3/9 - 7809*h. Solve g(j) = 0 for j.
-14, -1, 0
Let v = 1332 + -1881. Let k = -546 - v. Factor 0 + 0*w**k + 0*w - 1/3*w**4 - 1/3*w**5 + 0*w**2.
-w**4*(w + 1)/3
Let r(v) be the second derivative of 0*v**2 - 167*v + 0 + 1/72*v**4 - 1/18*v**3. Suppose r(x) = 0. Calculate x.
0, 2
Let k(c) = -c**2 - 2*c + 52. Let d be k(-13). Let l = 274/3 + d. Find h, given that -h**3 + 1/3*h**5 + 2/3*h + 0 + 1/3*h**2 - l*h**4 = 0.
-1, 0, 1, 2
Let z(n) = 4*n**2 - 54*n - 184. Let g(h) = h**2 + h - 12. Let v(a) = -12*g(a) + 2*z(a). Suppose v(w) = 0. What is w?
-28, -2
Suppose -9*s - 85*s = -470. Let v(x) be the second derivative of -2/3*x**3 + 2/3*x**4 + 0*x**2 + 1/4*x**s - 18*x + 0. Let v(t) = 0. Calculate t.
-2, 0, 2/5
Let o(v) be the third derivative of -v**5/12 - 1160*v**4/3 - 2152960*v**3/3 + 3*v**2 + 56*v. Factor o(z).
-5*(z + 928)**2
Let v(g) be the second derivative of 7*g**5/16 + 71*g**4/24 - 167*g**3/24 - 5*g**2/4 - 1136*g. What is u in v(u) = 0?
-5, -2/35, 1
Let i(z) be the first derivative of 2*z**3/3 + 303*z**2 - 1836*z - 2547. Find y such that i(y) = 0.
-306, 3
Factor 111 + 114 - 362 + 5*y**2 - 15*y + 117.
5*(y - 4)*(y + 1)
Let y be 66/(-110) - 6040/(-25). Suppose 2*i - 2*f = 3*i, 5*i - 4*f - 14 = 0. Factor -123*j**2 - 115*j**2 + y*j**2 - i*j**4 - j**4.
-3*j**2*(j - 1)*(j + 1)
Let o = -9042/13 - -696. Let i = o - 35/104. Find y, given that 1/8*y**3 + i*y**2 + 0 - 1/8*y - 1/8*y**4 = 0.
-1, 0, 1
Let v(y) = -5*y**3 - 6125*y**2 - 15*y - 45. Let t(q) = -q**3 - 875*q**2 - 2*q - 6. Let f(j) = -15*t(j) + 2*v(j). Factor f(g).
5*g**2*(g + 175)
Let k(r) = -2*r**2 - 24*r + 4. Let c be k(-12). Suppose -10*o**3 + 8*o**2 - 6 + 3*o**5 + c*o**3 - 32*o**2 - 3*o**4 + 9*o**4 - 21*o = 0. Calculate o.
-1, 2
Let c(f) = 4*f**2 + 86*f + 64. Suppose -4*s + 6*s - 8 = 0. Let m(y) = -2*y**2 - 42*y - 32. Let u(h) = s*c(h) + 9*m(h). Let u(n) = 0. What is n?
-16, -1
Let c(x) = -5*x - 10. Let s be c(-3). Let g = 9 - s. Factor -12*i**3 - 4*i**5 - 3*i**g + 8*i**4 + 7*i**4 + i**5.
-3*i**3*(i - 2)**2
Let s = 9/8225 - -13151/8225. Solve -22/5*c**2 - s - 6/5*c**3 - 24/5*c = 0 for c.
-2, -1, -2/3
Let b be ((324/(-30))/(-9))/((-32)/(-38360)). Let q = b + -1438. Factor 1/10*f**2 - q + 2/5*f.
(f - 1)*(f + 5)/10
Suppose 275 - 82*q**3 + 9*q**3 + 7*q**4 + 470*q - 2*q**4 + 126*q**2 + 3*q**3 - 6*q**2 = 0. What is q?
-1, 5, 11
Let v(y) be the first derivative of 20 + 12*y - 1/12*y**3 + y**2. Suppose v(b) = 0. What is b?
-4, 12
Let d(s) be the third derivative of s**6/120 - 245*s**5/12 + 15657*s**4 - 62424*s**3 - 2*s**2 - 563. Factor d(h).
(h - 612)**2*(h - 1)
Let x(b) be the third derivative of -b**5/60 - 3*b**4 + 913*b**3/6 + b**2 + 11*b + 20. Factor x(a).
-(a - 11)*(a + 83)
Solve 2*u**5 + 77297781438*u + 2160700*u**3 - 13275250188*u + 2110*u**4 + 287243148*u**2 + 130501562500 - 3428*u**4 - 2078*u**4 - 897033148*u**2 = 0.
-2, 425
Let s(o) = 4*o**2 - 8*o - 2. Let b be s(7). Suppose -22 - b = -8*i. Factor 9*k + 3*k**3 + 26*k**2 - 27 - 31*k**2 + i*k**2.
3*(k - 1)*(k + 3)**2
Factor 9*p**2 + 30 + 0*p**3 - 32*p - 1/8*p**4.
-(p - 6)*(p - 2)**2*(p + 10)/8
Let r(f) be the third derivative of 7/45*f**5 - 4*f + 8*f**2 - 1/3*f**4 - 1/36*f**6 + 0 + 0*f**3 + 1/630*f**7. Find p, given that r(p) = 0.
0, 2, 6
Let q(l) = 3*l**2 + 8*l. Let o be 2 + (-26)/12 + (-1)/(-6). Let s be q(o). Solve -4/5*i - 18/5*i**3 + 6/5*i**5 - 2/5*i**4 + s + 18/5*i**2 = 0 for i.
-2, 0, 1/3, 1
Let u(a) be the first derivative of a**6/36 + 279*a**5/5 - 5829. Factor u(t).
t**4*(t + 1674)/6
Let n(x) be the first derivative of 42*x**2 + 2/3*x**3 + 882*x - 1. What is m in n(m) = 0?
-21
Factor 6093/7 - 6096/7*n + 3/7*n**2.
3*(n - 2031)*(n - 1)/7
Let k = -947 - -649. Let h = -62 - k. Let 41*s**2 - h*s**2 - 50*s**3 - 204*s + 24*s + 20 = 0. What is s?
-2, 1/10
Suppose 2*i + 4*y - 16 = -2*i, -3*i + 12 = y. Let 4*h**2 + 10*h + 2*h**2 - 8*h**2 + i*h = 0. Calculate h.
0, 7
Find h, given that -225*h**5 - 404*h**4 - 110*h - 116*h**3 - 595*h**2 + 532*h**3 + 1591*h**4 + 1108*h**4 + 1619*h**3 = 0.
-1, -2/15, 0, 1/3, 11
Let m(z) be the third derivative of -z**6/600 + z**5/100 + 3*z**4/10 + 16*z**3/15 + 604*z**2. Factor m(x).
-(x - 8)*(x + 1)*(x + 4)/5
Let w(v) = -100*v**2 - 3424*v - 6784. Let l(i) = 19*i**2 + 685*i + 1357. Let a(q) = -16*l(q) - 3*w(q). Let a(g) = 0. Calculate g.
-170, -2
Let x be -37 - ((-3684)/45 - -15). Determine w so that 392/15 - x*w - 2/15*w**3 + 58/15*w**2 = 0.
1, 14
Find j such that 911/5*j**2 - 1/5*j + 1/5*j**3 - 911/5 = 0.
-911, -1, 1
Factor -141*q + 79*q**3 - 279*q**3 + 5*q**5 - 810*q**2 + 1370*q**2 - 822*q**2 - 26 - 48*q**4.
(q - 13)*(q + 1)**3*(5*q + 2)
Suppose -78 - 16/5*n + 2/15*n**2 = 0. Calculate n.
-15, 39
Let a(n) = 17*n**3 - 482*n**2 - 479*n - 4. Let o(t) = 190*t**3 - 5305*t**2 - 5270*t - 45. Let g(f) = -45*a(f) + 4*o(f). Factor g(q).
-5*q*(q - 95)*(q + 1)
Let w be (6/(-11))/((-22)/121). Factor -65*f**w + 837*f**2 - 801*f**2 + 8*f + 21*f**3.
-4*f*(f - 1)*(11*f + 2)
Let b(f) be the second derivative of -f**4/36 - 125*f**3/18 + 21*f**2 - f + 39. Let b(o) = 0. What is o?
-126, 1
Suppose -2*g + 422 = -2*y, 0 = -g + 6*g - 2*y - 1052. Factor 1617*v - 62*v**3 - 204*v**3 - g*v**2 - 3*v**5 - 1029 + 166*v**3 - 218*v**3 - 57*v**4.
-3*(v - 1)**2*(v + 7)**3
Determine b so that 0 + 0*b - 2/11*b**5 + 0*b**3 + 0*b**2 - 400/11*b**4 = 0.
-200, 0
Suppose -82*u + 16 = -89*u - 4*y, -4*u + 2*y + 38 = 0. Factor 1/4*d + 3/8*d**2 - 3/8*d**3 - 1/4*d**u + 0.
-d*(d - 1)*(d + 2)*(2*d + 1)/8
Suppose 11*p - 4 = 18. Solve 3*o**3 + p*o**4 + 7*o + 14*o**2 + 0*o**3 - o + 7*o**3 = 0 for o.
-3, -1, 0
Let i be -4 + 10 + -7 + 5. Determine p so that 1200*p - 672*p**i + 500 + 5*p**5 + 1045*p**2 + 747*p**4 + 2*p**5 - 2*p**5 + 415*p**3 = 0.
-5, -2, -1
What is x in -35/4*x**2 + 1/4*x**3 + 67/4*x - 33/4 = 0?
1, 33
Factor 14/11*i**2 - 2/11*i**3 - 12/11*i + 0.
-2*i*(i - 6)*(i - 1)/11
Let u(d) = d + 7*d**3 - d**2 - 66 + d**4 - 8*d**2 + 138 - 73. Let t(m) = -2*m**4 - m**2 - m + 1. Let n(j) = -5*t(j) - 5*u(j). Factor n(a).
5*a**2*(a - 5)*(a - 2)
Let m(h) be the second derivative of 49 - 2*h - 2/21*h**3 + 2/7*h**2 + 1/70*h**5 + 1/210*h**6 - 1/28*h**4. Find z, given that m(z) = 0.
-2, 1
Factor 12*m + 6 - 1/6*m**4 - 1/3*m**3 + 35/6*m**2.
-(m - 6)*(m + 1)**2*(m + 6)/6
Let v(k) be the second derivative of -k**4/66 - 1118*k**3/33 - 312481*k**2/11 - 378*k + 2. Factor v(n).
-2*(n + 559)**2/11
Let j(v) = v**5 - 2*v**4 - v**2 + v - 18. Let b(z) = -20*z**5 - 4*z**4 + 132*z**3 - 118*z**2 + 28*z + 324. Let k(g) = 2*b(g) + 36*j(g). Factor k(y).
-4*y*(y - 1)**3*(y + 23)
Let i be 0 + 2/6 - (-80)/30. Find d, given that 294*d + d**2 - d**i - 294*d = 0.
0, 1
Let w be (-54 - -38)*(68/(-88) - 1/(-2)). Factor -w - 20/11*q + 6/11*q**2 + 2/11*q**3.
2*(q - 3)*(q + 2)*(q + 4)/11
Let x(l) be the first derivative of l**5/90 - 2*l**4/9 - l**3 + 77*l**2/2 - 102. Let a(n) be the second derivative of x(n). Let a(k) = 0. What is k?
-1, 9
Suppose -554/7*m**2 - 4878/7 - 2/7*m**3 - 3270/7*m = 0. Calculate m.
-271, -3
Suppose 8*m + 15 = 79. Suppose 4*y + 3*k + 12 = 0, 3*k = -y - m - 4. Factor y - 5/4*f**5 - 1/2*f**3 + 0*f + 0*f**2 - 7/4*f**4.
-f**3*(f + 1)*(5*f + 2)/4
Let l(a) be the third derivative of a**5/270 - 1243*a**4/54 + 1545049*a**3/27 - 3672*a**2. Solve l(y) = 0.
1243
Suppose -74 = -10*d - 4*a - 8, -5*d + 4*a = 21. Find q such that -18/13*q**d - 48/13 + 8/13*q + 2/13*q**5 - 4/13*q**4 + 44/13*q**2 = 0.
-3, -1, 2
Let y be (1300/1820)/(3/63). Let s(r) be the first derivative of -y - 2*r**4 - 2*r**3 + 4*r**2 + 8*r - 2/5*r**5. Factor s(c).
-2*(c - 1)*(c + 1)*(c + 2)**2
Let v(l) be the first derivative of -3/4*l**4 - 7/2*l**3 + 1/20*l**5 + 5 + 25/2*l**2 + 0*l. Let r(j) be the second derivative of v(j). What is g in r(g) = 0?
-1, 7
Let l(c) be the first derivative of -c**4/16 + c**3/4 + 9*c**2 + 4