.
-1, 0, 1
Let m = -760 - -600. Let b be (-8)/(-10) - ((-628)/m - 4). Factor 1/8*y**5 + 1/4*y - b*y**2 + 0 + 9/8*y**3 - 5/8*y**4.
y*(y - 2)*(y - 1)**3/8
Let c(u) = 11*u**3 - 3*u**2 + 16*u - 5. Let n(d) = -8*d**3 + 2*d**2 - 14*d + 4. Let w(s) = 4*c(s) + 5*n(s). Factor w(j).
2*j*(j + 1)*(2*j - 3)
Let d be (9 - 2)*((-1080)/210)/(-18). Determine r, given that -3/5*r**3 + 0 + 3/5*r + 0*r**d = 0.
-1, 0, 1
Suppose -4*k + 2*d = -7*k + 26, 4*d = 2*k - 44. Let t be -191 + 192 + (1/1 - 0). Factor 2*m**5 - 3*m**4 - t*m**2 - m**3 + k*m**2 - 7*m**2 - m.
m*(m - 1)**2*(m + 1)*(2*m - 1)
Let a(y) be the third derivative of -1/15*y**5 + 0 + 0*y - 1/3*y**4 + 1/90*y**6 - 26*y**2 + 16/9*y**3. Let a(m) = 0. Calculate m.
-2, 1, 4
What is r in -240/7*r - 4/7*r**2 - 684/7 = 0?
-57, -3
Let v = -140/213 + 2197/426. Factor -v*t - 1/2*t**2 - 4.
-(t + 1)*(t + 8)/2
Let n(b) be the third derivative of b**5/150 - 13*b**4/60 - 2*b**3 - b**2 + 1912*b. Solve n(p) = 0.
-2, 15
Let l(g) be the third derivative of -g**6/30 + 244*g**5/15 + 739*g**4/6 + 988*g**3/3 - g**2 - 121*g - 1. Let l(k) = 0. What is k?
-2, -1, 247
Let z = 1/37152 - 170119013/185760. Let w = 916 + z. Factor -w*f**3 - 2/5*f**2 + 1/5*f + 1/10*f**4 + 3/10.
(f - 3)*(f - 1)*(f + 1)**2/10
Suppose 173*r - 460 = 405. Let k(x) be the first derivative of -7 - 16*x**2 + 16*x - 4/5*x**r + 2*x**4 + 4*x**3. Solve k(o) = 0 for o.
-2, 1, 2
Let x = -25609 - -25646. Let l(y) be the third derivative of -5/24*y**6 + 13/12*y**5 - 5/6*y**4 + 0 - 10/3*y**3 + x*y**2 + 0*y. Factor l(g).
-5*(g - 2)*(g - 1)*(5*g + 2)
Let j(x) be the first derivative of 2/3*x**3 - 2/45*x**5 - 76 + 8/9*x - 11/9*x**2 - 1/18*x**4. What is v in j(v) = 0?
-4, 1
Let h(o) be the third derivative of -1/390*o**5 - 11/156*o**4 + 0*o + 0 + 0*o**3 - 33*o**2. Factor h(c).
-2*c*(c + 11)/13
Suppose 1209*s + 8 = 2*w + 1204*s, -20 = -5*w - 4*s. Let n(j) be the second derivative of -3/5*j**2 + 0 + 17*j - 1/60*j**w - 7/30*j**3. Factor n(h).
-(h + 1)*(h + 6)/5
Let n be 140/(-6)*((-468)/12)/(-13). Let a = n - -73. Factor -6/7*f**a - 2/7*f**2 + 0 + 4/7*f.
-2*f*(f + 1)*(3*f - 2)/7
Let r(w) be the first derivative of -5*w**5/4 + 5855*w**4/16 - 577*w**3/6 - 935*w**2/2 - 234*w + 2493. Let r(q) = 0. Calculate q.
-2/5, 1, 234
Determine m so that 112/23*m**2 - 110/23*m - 2/23 = 0.
-1/56, 1
Let b be (-12631)/(-1486) + -3 + 2 + -8 + 1. Factor -b*j**2 + 4 - j.
-(j - 2)*(j + 4)/2
Let s(j) be the second derivative of 5*j**4/18 + 16*j**3/9 - 133*j**2/3 - 2137*j. Determine d so that s(d) = 0.
-7, 19/5
Let q(r) be the second derivative of r**4/8 - 21*r**3/2 + 351*r**2/4 + 789*r. Solve q(k) = 0.
3, 39
Let c(y) be the second derivative of -3*y**5/40 - 2*y**4/3 - 7*y**3/3 - 4*y**2 - 231*y - 1. Factor c(l).
-(l + 2)**2*(3*l + 4)/2
Let m(v) be the second derivative of -2*v**6/15 + 44*v**5/5 - 41*v**4/3 - 172*v**3/3 + 221*v. Factor m(g).
-4*g*(g - 43)*(g - 2)*(g + 1)
What is s in 1/4*s**3 + 27*s + 15/2*s**2 + 26 = 0?
-26, -2
Let h = -1431/2 - -720. Let k = 29/4 - h. Find y such that 1/4*y**3 - k*y + y**2 + 3/2 = 0.
-6, 1
Suppose 0 = 179*i - 152*i. Let n(u) be the second derivative of 9/14*u**3 + 12/7*u**2 - 18*u + i + 1/28*u**4. Find z, given that n(z) = 0.
-8, -1
Factor 55 + 44*v**3 - 5*v**5 + 215*v + 37*v**3 + 310*v**2 + 109*v**3 + 17102*v**4 - 17067*v**4.
-5*(v - 11)*(v + 1)**4
Let q(s) be the second derivative of -s**5/16 + 15*s**4/8 - 20*s**3/3 + 491*s. Determine f, given that q(f) = 0.
0, 2, 16
Suppose 9*w = 2*w + 35. Suppose w*c + 152 = 9*c. Factor -n**2 - c + 20*n + 2*n**2 - 12 - 3*n**2.
-2*(n - 5)**2
What is q in 0 - 357/4*q**2 + 12*q**3 - 441/2*q + 3/4*q**4 = 0?
-21, -2, 0, 7
Let f = 4138349/2445365 + -3/188105. What is y in -88/13*y**2 - 80/13*y**3 - f*y**4 - 2/13*y**5 + 64/13*y + 128/13 = 0?
-4, -2, 1
Let y(r) be the second derivative of -r**4/12 - 738*r**3 - 2450898*r**2 + 57*r + 28. Factor y(g).
-(g + 2214)**2
Suppose 30 = -2*x - 3*x. Let d be (-27)/(-12)*(x + (-22)/(-3)). Find u such that 0 - 9/8*u**d + 3/4*u + 15/8*u**2 = 0.
-1/3, 0, 2
Factor -1/8*h**5 + 1/2*h**3 + 0 + 0*h**2 + 0*h**4 + 0*h.
-h**3*(h - 2)*(h + 2)/8
Let x(m) = m**3 + 2*m**2 + m + 2. Let a be x(0). Let 3*o - 339*o**a + 324*o**2 - 8*o = 0. What is o?
-1/3, 0
Determine p, given that -1982*p - 1984 + 1/2*p**3 - 494*p**2 = 0.
-2, 992
Let h be 1/5*(-22855)/42. Let w = -649/6 - h. Determine r, given that -10/3*r**3 + 0 - w*r**4 - 8/3*r - 16/3*r**2 = 0.
-2, -1, 0
Let t(g) = -g**2 + 8*g + 4. Let n be t(0). Suppose n*c - 2*p - 12 = 0, 5*p - 6 = -2*c + 9*p. Suppose 7/6*o**c - 22/3*o**2 + 0 + 2*o = 0. Calculate o.
0, 2/7, 6
Let b(i) = -22*i**3 - 6*i**2 + 5*i - 5. Let n(z) = -27*z**3 - 5*z**2 + 6*z - 6. Let q(l) = -6*b(l) + 5*n(l). Factor q(c).
-c**2*(3*c - 11)
Let v(q) = q**3 - 20*q**2 + 35*q + 21. Let t be v(18). Factor -144*y + 126*y + 2*y**2 - 18*y**2 + 2*y**t.
2*y*(y - 9)*(y + 1)
Let x(v) = v**2 - 2. Let l(c) = -3*c**2 - 308*c + 944. Let s(y) = 2*l(y) + 2*x(y). Factor s(t).
-4*(t - 3)*(t + 157)
Solve 24 + 9*k - k - 15*k**2 + 0 - 30*k + 4*k = 0 for k.
-2, 4/5
Let p(a) = 2*a**2 + 10*a - 57*a + 17*a - 7*a**2 - 25. Let z(k) = -k**2 - 5*k - 4. Let f(c) = -4*p(c) + 25*z(c). Factor f(l).
-5*l*(l + 1)
Let d(b) = 2*b**2 + 5. Let h(x) = 35*x**2 - 4740*x + 1123455. Let q(o) = -15*d(o) + h(o). Factor q(u).
5*(u - 474)**2
Suppose 738*q**4 + 0*q**5 + 2*q**5 - 3*q**5 + 42 + 146*q + 188*q**2 + 108*q**3 + 3*q**5 - 712*q**4 = 0. What is q?
-7, -3, -1
Let x = 174 + -182. Let t be 3/36*-3 - 3/x. Find i, given that -1/8*i - t*i**2 + 0 = 0.
-1, 0
Let i(z) be the third derivative of z**6/420 + 11*z**5/1260 + z**4/126 - 4*z**3 - z**2 + 49*z. Let q(f) be the first derivative of i(f). Factor q(l).
2*(l + 1)*(9*l + 2)/21
Let r(a) = a**3. Let g = 12 - 13. Let c(k) = 4*k**2 + 8*k. Let z(p) = g*c(p) + 4*r(p). Suppose z(n) = 0. Calculate n.
-1, 0, 2
Factor 0 + 172*j - 2/3*j**2.
-2*j*(j - 258)/3
Let r(n) be the third derivative of -n**9/120960 - n**8/40320 + n**5/5 + 3*n**2 + 2*n. Let v(p) be the third derivative of r(p). Factor v(l).
-l**2*(l + 1)/2
Suppose 10*b - 8 = 42. Suppose 0 = b*w + 11 - 31. Solve -13 - 114*z**2 + 36*z - z**5 + 75*z**3 - 11 + 4*z**5 + 48*z - 24*z**w = 0.
1, 2
Let b = 312183/14 - 44597/2. Let d(j) = -j + 1. Let r be d(-2). What is f in 12/7*f**2 + 24/7*f + 16/7 + b*f**r = 0?
-2
Let w = 607/133 + -84/19. Let t(m) be the first derivative of -3/28*m**4 - 5 - w*m**5 + 1/3*m**3 - 2/7*m + 3/14*m**2. Find s such that t(s) = 0.
-1, 2/5, 1
Let p(f) be the third derivative of -1/588*f**8 + 0*f**3 - 2/35*f**5 + 0*f**7 + 0*f**4 + 1/30*f**6 - 4*f**2 + 0*f + 0. Let p(b) = 0. What is b?
-3, 0, 1, 2
Let j(n) be the third derivative of -n**7/630 + 41*n**6/720 - 17*n**5/20 + 27*n**4/4 - 30*n**3 - 2*n**2 - 235. Suppose j(q) = 0. What is q?
5/2, 6
Let q(u) be the third derivative of u**6/24 + 149*u**5/12 + 1475*u**4/24 + 245*u**3/2 + 316*u**2. Suppose q(m) = 0. Calculate m.
-147, -1
Suppose -2*q + 6*q = 12. Suppose 0 = 4*u + 8, u - 11 = -3*y - 4. Solve 56*j**y - 53*j**q + 3 - 3*j**2 - 3 = 0.
0, 1
Let t(d) = -5*d**5 - 30407 + 77*d**4 + 8*d**4 - 125*d**3 + 30402. Let x(y) = 2*y**5 - 43*y**4 + 63*y**3 + 3. Let o(n) = 3*t(n) + 5*x(n). What is s in o(s) = 0?
0, 2, 6
Let x(m) be the third derivative of m**7/525 - 43*m**6/150 + 1573*m**5/150 + 989*m**4/5 + 6348*m**3/5 - 2165*m**2. Let x(w) = 0. What is w?
-3, 46
Solve -32*c**2 - 921 - 2*c + 2*c**3 + 4*c**2 + 1901 - 32*c - 920 = 0.
-2, 1, 15
Let z(j) = -j**3 + 10*j**2 - 25*j + 8. Suppose 3*t = 4*g - 21, 4*g + g + 3*t = 33. Let l be z(g). Determine a so that -1/2*a**3 - 3/2 - 11/4*a**l - 17/4*a = 0.
-3, -2, -1/2
Let g be -2 + -2 - (-100 + (-21)/(-7)). Factor -15*d - 45 - 32 - d**2 + g.
-(d - 1)*(d + 16)
Let 0 - 19*l + 1/2*l**2 = 0. Calculate l.
0, 38
Let s(x) be the third derivative of -x**7/42 - 23*x**6/12 + 12*x**5 - 365*x**4/12 + 245*x**3/6 - 19*x**2 + 34*x + 1. Solve s(i) = 0.
-49, 1
Let l(m) be the third derivative of -m**5/180 + 19*m**4/24 - 361*m**3/9 - 10715*m**2. Factor l(v).
-(v - 38)*(v - 19)/3
Let b = 941/5004 + 19/556. Factor 8/9*c**2 + 10/9*c + 0 - b*c**3.
-2*c*(c - 5)*(c + 1)/9
Let w(u) = 3*u**2 - 12*u - 1. Let x be w(7). Let v = x + -60. Let -2*o + 8*o**2 - 3 + 2 + o**2 - 10*o**v = 0. What is o?
-1
Let p(w) = -4*w**3 - 136*w**2 - 756*w - 624. Let v(j) = -16*j**3 - 546*j**2 - 3026*j - 2496. Le