5*o - 6/5*o**4 = 0.
-1, 1/2, 1
Let g(y) = -3*y**3 + 10*y**2 + 133*y + 234. Let d(j) = -j**3 + j**2 - 3*j - 2. Let b(k) = 4*d(k) - 2*g(k). Factor b(l).
2*(l - 17)*(l + 2)*(l + 7)
Let l(g) = -5*g**2 - 5. Let q(t) = 3*t**3 + 2327*t**2 - 4683*t + 2333. Let z(u) = 2*l(u) - q(u). Factor z(d).
-3*(d - 1)**2*(d + 781)
Let g(v) = 25*v**2 + 491*v - 178. Let a be g(-20). Solve 14/11*p**3 + 4*p**a + 9/11 + 36/11*p - 2/11*p**5 - 5/11*p**4 = 0 for p.
-3, -1, -1/2, 3
Let f(i) = 9*i**2 + 7*i + 8. Let g(z) = -8*z**2 - 5*z - 7. Let w(q) = -5*f(q) - 6*g(q). Let m(o) = o**2 - o. Let k(v) = m(v) - w(v). Find a such that k(a) = 0.
1
Let o = 5978 - 5972. Let f(w) be the first derivative of 1/3*w**5 - 28 + 1/9*w**3 - 1/9*w**o - 1/3*w**4 + 0*w + 0*w**2. Find z such that f(z) = 0.
0, 1/2, 1
Let u(r) = -9*r**4 + r**2 - 7 + 276*r**3 - 278*r**3 + r**4 + 9*r. Let b(a) = 5*a**4 + a**3 - a**2 - 5*a + 4. Let n(c) = -7*b(c) - 4*u(c). Factor n(y).
-y*(y - 1)*(y + 1)*(3*y - 1)
Suppose 123 + 5*g**2 - 1 - 602 + 15*g - 420 = 0. What is g?
-15, 12
Let w = 52299 - 314587/6. Let n = -10297/78 - w. Factor -14/13*m**3 + 0 + n*m**4 + 28/13*m**2 - 16/13*m.
2*m*(m - 4)*(m - 2)*(m - 1)/13
Let h(g) = -27*g - 317. Let q be h(-12). Let l(x) be the third derivative of 2/7*x**3 + 0 - 1/30*x**5 + q*x**2 + 0*x - 19/84*x**4. Factor l(o).
-2*(o + 3)*(7*o - 2)/7
Find c such that -2*c**2 + 26/3*c**3 - 12*c + 0 + 14/3*c**4 + 2/3*c**5 = 0.
-3, -2, 0, 1
Let g be -6 - (-3 + (-2 - -5 - 9)). Solve 102*x**2 + 45 - 4*x**4 + 45*x - 54 + 10*x**4 + 45*x**g - 45 = 0.
-3, -2, 1/2
Let t(d) = 28*d**2 - 28*d - 24. Let s = 202 + -137. Suppose 0 = -6*u - 79 - s. Let w(k) = -k**2 + 1. Let c(o) = u*w(o) - t(o). Suppose c(j) = 0. Calculate j.
0, 7
Let u(g) = -3*g**4 + 8*g**2 - 20*g - 27. Let b = 5 + 6. Let o(n) = -16*n**4 - n**3 + 38*n**2 - 101*n - 135. Let c(q) = b*u(q) - 2*o(q). What is v in c(v) = 0?
-3, -1, 3
Suppose 3*d - 142*i + 147*i - 78 = 0, 48 = 4*i. Solve -1/7*g**2 + 17/7*g - d = 0 for g.
3, 14
Let 2/21*y**4 + 4664/7*y**2 + 146068/21*y - 893262/7 + 100/7*y**3 = 0. Calculate y.
-53, 9
Let l(t) = 864*t**3 - 870*t**2 + 20*t - 28. Let y(b) = 173*b**3 - 174*b**2 + 4*b - 6. Let z(o) = -3*l(o) + 14*y(o). Factor z(x).
-2*x*(x - 1)*(85*x - 2)
Let d = -12307503/7 - -1758215. Factor -16/7 + 10/7*a**2 + d*a**3 + 4/7*a.
2*(a - 1)*(a + 2)*(a + 4)/7
Suppose -72 = 3*q + 6*b, -b + 18 = -q + 33. Let o be 3/4 + (-3)/(-12). Factor -o + g - 1/4*g**q.
-(g - 2)**2/4
Let r(l) = -11*l**2 - 13*l - 22. Let w(h) = 1. Let v(o) = 2*o**2 - o + 3. Let g(c) = v(c) - 2*w(c). Let y(f) = -20*g(f) - 4*r(f). Determine q so that y(q) = 0.
-17, -1
Let u(i) be the first derivative of -i**4/32 - 5*i**3/8 - 3*i**2 + 160*i + 183. Let w(g) be the first derivative of u(g). Factor w(m).
-3*(m + 2)*(m + 8)/8
Let r(o) = -153*o**3 + 405*o**2 - 1659*o + 1249. Let c(u) = -231*u**3 + 405*u**2 - 1659*u + 1248. Let t(p) = -2*c(p) + 3*r(p). Factor t(x).
3*(x - 3)*(x - 1)*(x + 139)
Let f(p) be the third derivative of p**3 - 49/120*p**6 - 2 + 0*p - 35/24*p**4 + 1/21*p**7 + 17/15*p**5 - 23*p**2. Determine c so that f(c) = 0.
2/5, 1/2, 1, 3
Let m(v) be the first derivative of v**4/48 + 17*v**3/36 - 7*v**2 - 9171. Suppose m(o) = 0. Calculate o.
-24, 0, 7
Let k = -3454 + 3460. Let l(s) be the first derivative of 8/9*s**3 - 1/3*s**4 - 1/9*s**k + 23 - 8/15*s**5 + 0*s + s**2. Find m, given that l(m) = 0.
-3, -1, 0, 1
Let z be -8 + 10 + 9 + (-35 - -27). Suppose 50*t**2 + 115/4*t**4 - 235/4*t**z - 15*t + 0 - 5*t**5 = 0. Calculate t.
0, 3/4, 1, 2
Let c(n) = 26*n**2 - 14*n + 27. Let y be c(3). Factor -207 - 3*j**2 - j**2 + y - 8*j + 0*j.
-4*(j - 1)*(j + 3)
Let l(f) be the first derivative of f**5/40 - f**3/12 - 3*f - 142. Let a(k) be the first derivative of l(k). Find s, given that a(s) = 0.
-1, 0, 1
Let f be (11856/7410)/((-12)/(-10)). What is c in f*c**2 - 16/3 + 4*c = 0?
-4, 1
Let k(d) be the first derivative of -135 + 1/5*d**3 + 12/5*d - 3/2*d**2. Factor k(c).
3*(c - 4)*(c - 1)/5
Suppose -o + r + 16 = 0, o = -815*r + 810*r - 56. Solve -20/7*q**3 + 48/7*q**2 - 4/7*q**5 + 0 - 24/7*q**o + 0*q = 0 for q.
-4, -3, 0, 1
Suppose -s + 10 = 5*i, -i - 2*s + 18 = -5*s. Let k be (-78)/(-91) - (-1 + (-74)/28). Factor -3/2*f**i - 21/2*f + k + 15/2*f**2.
-3*(f - 3)*(f - 1)**2/2
Let n(r) = 3*r**3 + r**2 - 165*r - 273. Let g(d) = 15*d**3 + 6*d**2 - 825*d - 1344. Let m(f) = -5*g(f) + 24*n(f). Factor m(t).
-3*(t - 7)*(t + 1)*(t + 8)
Let n(g) = 19*g + 757. Let o be n(-28). Suppose 0 = -19*x - o + 263. Suppose 2/7*u - 2/21*u**x - 4/21 = 0. Calculate u.
1, 2
Let i = 364 - 354. Determine u so that -42*u**2 + i + 9 - 23*u**2 + 11 - 127*u - 58*u = 0.
-3, 2/13
Suppose -2*o + 73 = -0*f + 5*f, -81 = -4*o + 3*f. Let y = o - 20. Factor p**2 + 2*p**5 - 12*p**5 + 4*p**2 - 15*p**y.
-5*p**2*(p + 1)**2*(2*p - 1)
Let m(l) be the first derivative of -l**7/70 + l**6/40 + 3*l**5/4 + 23*l**4/8 + 5*l**3 - 57*l**2/2 - 5. Let t(s) be the second derivative of m(s). Factor t(k).
-3*(k - 5)*(k + 1)**2*(k + 2)
Let q(l) be the first derivative of 157 - 44/3*l**3 + 2*l**5 - 4*l**4 + 18*l + 0*l**2. Suppose q(a) = 0. What is a?
-1, 3/5, 3
Let l(g) = -7*g**2 - 365*g + 3302. Let j be l(-60). Factor 25/8*f + 1/8*f**3 + 0 + 5/4*f**j.
f*(f + 5)**2/8
Let n(p) be the third derivative of p**6/600 - 49*p**5/150 + 19*p**4/24 + 97*p**3/15 + 1016*p**2. Factor n(r).
(r - 97)*(r - 2)*(r + 1)/5
Suppose -15*j + 70 + 50 = 0. Suppose -4*v = -4*k + j, -2*v + 7 = 3*k + 1. Suppose v + 0*m**3 + 2/17*m**4 + 0*m - 2/17*m**2 = 0. Calculate m.
-1, 0, 1
Factor 0 + 260/9*k**3 + 514/9*k**2 + 256/9*k + 2/9*k**4.
2*k*(k + 1)**2*(k + 128)/9
Let o(b) be the third derivative of 0*b + 1/24*b**6 + 1/210*b**7 + 1/15*b**5 + 0*b**3 + 5 + 18*b**2 + 0*b**4. Determine w so that o(w) = 0.
-4, -1, 0
Let g(z) be the first derivative of 114*z**2 + 113 + z**4 - 288*z - 56/3*z**3. Determine w so that g(w) = 0.
3, 8
Factor -80/3 - 44/3*u**3 + 1/3*u**5 + 32/3*u + 5/3*u**4 + 64/3*u**2.
(u - 2)**3*(u + 1)*(u + 10)/3
Let n(p) be the third derivative of p**7/70 + 41*p**6/40 - 11*p**5/5 - 21*p**4/2 + 742*p**2. Suppose n(v) = 0. Calculate v.
-42, -1, 0, 2
Let v(j) be the second derivative of -2*j**7/105 + 3*j**6/10 - 8*j**5/5 + 10*j**4/3 - 9*j**2/2 - 198*j. Let u(b) be the first derivative of v(b). Factor u(q).
-4*q*(q - 5)*(q - 2)**2
Suppose -5*f + 80 = 5*n, -2*f - n = -3*n - 36. Suppose f - 2 = 5*j. Let 3*x**4 - 3*x**2 - 17*x - 16*x - 10*x + 3*x**j + 40*x = 0. What is x?
-1, 0, 1
Let r(x) = 22*x**4 + 62*x**3 + 382*x**2 + 588*x + 6. Let b(y) = 3*y**4 - y**3 + 3*y**2 + 1. Let c(h) = 6*b(h) - r(h). Let c(l) = 0. Calculate l.
-7, -3, 0
Let f(o) be the second derivative of -5/12*o**4 - 15*o**2 + 0 - 9*o - 25/6*o**3. Factor f(d).
-5*(d + 2)*(d + 3)
Let f(o) = -7*o**2 - 4*o - 1. Let s(u) be the first derivative of 19*u**3 + 33*u**2/2 + 9*u + 167. Let x(b) = -33*f(b) - 4*s(b). Determine r so that x(r) = 0.
-1, 1
Suppose 3*h = l + 4, 3*h - 15*l = -18*l + 24. Let g(z) be the second derivative of 8/3*z**h + 2/15*z**6 + 0*z**2 + z**5 + 8/3*z**4 - 21*z + 0. Factor g(p).
4*p*(p + 1)*(p + 2)**2
Let g(s) be the third derivative of s**5/450 - 31*s**4/180 + 26*s**3/5 - 12372*s**2. Determine q so that g(q) = 0.
13, 18
Let d = 124 - 122. Let -6*v**3 + 11*v**d + 17*v**3 - 13*v**2 - 10*v**3 = 0. Calculate v.
0, 2
Let u be (-198)/(-108) - ((-38)/3 - (-143)/11). Factor u*v**3 - 9/2*v**2 + 3 + 3/2*v**4 - 3/2*v.
3*(v - 1)**2*(v + 1)*(v + 2)/2
Factor -2/3*l**4 + 2/3*l**5 + 2/3*l**2 + 8/3 - 10/3*l**3 + 16/3*l.
2*(l - 2)**2*(l + 1)**3/3
Let h(w) = -w**2 - 36*w + 135. Let a be h(-37). Suppose -4*t - a = o - 83, 3*t + 30 = 3*o. Factor 24*c + 6 + 21/2*c**4 + 57/2*c**3 + 75/2*c**2 + 3/2*c**o.
3*(c + 1)**3*(c + 2)**2/2
Suppose -4*t - 9 = b, -t - 1 = 2. Suppose 4*s**4 - 15415*s**b - 6 + 15415*s**3 - 17*s - 14*s**2 + s**5 = 0. What is s?
-3, -1, 2
Let a be 24/(-9) - -2 - (-9321)/9. Let b = a + -1031. Determine g so that -1/2*g**3 - 3*g**2 - 6*g - b = 0.
-2
Let h be ((-3)/(12/(-8)))/((-1)/2). Let f be 16/h*(-36)/336. Factor -f*q**2 + 0 + 6/7*q.
-3*q*(q - 2)/7
Let v be ((-2037)/(-71295))/(1/10). Factor 18/7*h + 6/7*h**4 + 4/7*h**2 - 10/7 - 20/7*h**3 + v*h**5.
2*(h - 1)**3*(h + 1)*(h + 5)/7
Let c(b) be the third derivative of -b**7/630 - 7*b**6/18 - 245*b**5/6 - 19*b**4/6 + 48*b**2. Let k(r) be the second deriva