 = o + 5*x + 38. Factor 2/7*h**o - 12*h + 126.
2*(h - 21)**2/7
Factor 1/2*j**2 + 12 - 1/2*j**3 + 13*j.
-(j - 6)*(j + 1)*(j + 4)/2
Let j = 1209 + -820. Let g = -389 + j. Factor 6/11*z**3 + 0 - 2/11*z**5 + 0*z**4 + g*z - 4/11*z**2.
-2*z**2*(z - 1)**2*(z + 2)/11
Factor 13*m**2 + 0 + 2/3*m**3 - 1/3*m**4 + 24*m.
-m*(m - 8)*(m + 3)**2/3
Let d(n) be the first derivative of 179*n**3/8 + 539*n**2/16 + n/4 + 672. Factor d(a).
(a + 1)*(537*a + 2)/8
Let u = 213 + -211. Suppose 2*q**5 + 12*q**4 + 18*q**2 + 4 + 12*q + 28*q**3 - 14*q**2 + 6*q + 28*q**u = 0. What is q?
-2, -1
Let a(p) be the third derivative of -p**7/210 + 11*p**6/60 - 37*p**5/60 - 5*p**4/2 - p**2 + 1911*p. Solve a(u) = 0 for u.
-1, 0, 3, 20
Let v be (-1)/(-60) - (120/(-50) - -7 - 5). Let j(u) be the second derivative of -5/2*u**3 + 0 + 10*u**2 + 16*u - v*u**4. Determine b so that j(b) = 0.
-4, 1
Let x be ((-306)/(-595))/((-6)/3740). Let r = x - -321. What is a in 3/7*a**3 - r*a + 3/7 - 3/7*a**2 = 0?
-1, 1
Suppose -4*y - 17*y**2 - 28*y**2 + 34*y + 8*y - 6 + 13*y**2 = 0. What is y?
3/16, 1
Let h(k) be the second derivative of -4*k**2 - 229*k + 0 - 4/3*k**3 + 13/6*k**4 - 1/2*k**5. What is p in h(p) = 0?
-2/5, 1, 2
Let m(a) = 176*a**3 + 543*a**2 + 117*a + 20. Let p(o) = 174*o**3 + 540*o**2 + 116*o + 18. Let t(d) = -6*m(d) + 7*p(d). Factor t(n).
2*(n + 3)*(9*n + 1)**2
Suppose p - 58*k - 17 = -61*k, 0 = -5*p + 3*k + 49. Let i(q) be the second derivative of 0 - p*q + 8*q**2 + 0*q**3 - 1/3*q**4. Factor i(h).
-4*(h - 2)*(h + 2)
Let z(b) = -b**2 + b + 2. Let y(u) = -8*u**2 - 62*u + 12. Let f(d) = y(d) - 6*z(d). Factor f(a).
-2*a*(a + 34)
Let k = 24 + -46. Let w = k - -24. Factor 2*c**2 - 5*c**2 - 5*c**3 + 0*c - 5*c - 7*c**w.
-5*c*(c + 1)**2
Suppose 0 = 4*k - 0 - 8. Solve 45*o - 2*o**5 - 57*o**4 - 40*o**3 - 30*o**k + 87*o**4 - 3*o**5 = 0.
-1, 0, 1, 3
Let v(u) = -u**3 - 15*u**2 + 10. Let w be v(-15). Let s be 56/w - 6 - (-18)/15. Suppose -s + 2/15*d**2 + 2/15*d = 0. Calculate d.
-3, 2
Determine p, given that 0*p - 47/9*p**3 + 1/9*p**4 + 0 - 68/3*p**2 = 0.
-4, 0, 51
Let l(f) be the second derivative of 81*f**2 - 90*f + 15/8*f**4 - 1 - 18*f**3 - 3/40*f**5. Factor l(a).
-3*(a - 6)**2*(a - 3)/2
Suppose -86*l**2 + 192 - 1/4*l**4 - 55/4*l**3 - 92*l = 0. What is l?
-48, -4, 1
Let w(f) be the third derivative of f**9/4536 - f**7/1260 - 19*f**3/2 - 3*f**2 + 13*f. Let c(y) be the first derivative of w(y). What is t in c(t) = 0?
-1, 0, 1
Let b = 109 - -69. Factor 155 + b - 9 + t**2 - 36*t.
(t - 18)**2
Let b(o) be the second derivative of 18 - 1363/60*o**4 - 119/10*o**3 - 127/100*o**5 + 2*o + 441/5*o**2 - 1/50*o**6. Solve b(z) = 0.
-21, -1, 2/3
Let n(b) be the second derivative of -b**5/30 + 2*b**4/9 + 873*b - 3. Factor n(q).
-2*q**2*(q - 4)/3
Let t be (4 + 5 - 9)/((-2 - 2)/(-4)). Let a(w) be the second derivative of 1/5*w**5 + 1/15*w**6 + 22*w - 7/6*w**4 + 0*w**2 + t + 4/3*w**3. Factor a(u).
2*u*(u - 1)**2*(u + 4)
Let i(g) be the second derivative of 0*g**4 + 17*g - 16/7*g**2 - 4/7*g**3 + 1/70*g**5 + 1. Factor i(j).
2*(j - 4)*(j + 2)**2/7
Let u(a) be the first derivative of a**7/210 - 7*a**6/45 + 5*a**5/6 - 2*a**4 - 11*a**3 - 176. Let d(r) be the third derivative of u(r). Factor d(f).
4*(f - 12)*(f - 1)**2
Let r = -52495/7 - -472483/63. Let r*q**4 + 0*q - 4*q**2 + 0 + 4/9*q**5 - 4*q**3 = 0. What is q?
-3, -1, 0, 3
Let f(j) be the first derivative of -j**6/6 + 18*j**5/5 - 61*j**4/2 + 132*j**3 - 621*j**2/2 + 378*j - 6260. Factor f(y).
-(y - 7)*(y - 3)**3*(y - 2)
Let h be ((-3)/(-50))/(1692/705). Let n(a) be the third derivative of 0*a**4 + 0*a**3 - 1/10*a**5 + 0 - 18*a**2 - h*a**6 + 0*a. Let n(j) = 0. Calculate j.
-2, 0
Find h such that -20/3 + 262/3*h + 136/3*h**2 = 0.
-2, 5/68
Let y(o) = 42*o**2 + o**3 + 848 + 62*o - 548 + 130*o - 4*o**3. Let c(h) = 2*h**3 + h. Let f(k) = 3*c(k) + y(k). Determine s, given that f(s) = 0.
-5, -4
Let k = 7 + -2. Suppose 0 + 15 = k*s. Determine d so that -214*d - 3 + 0*d**3 - 2*d**s + 4*d**2 + 216*d - 1 = 0.
-1, 1, 2
Let b(h) be the first derivative of -h**5/10 + 7*h**4/2 + 22*h**3/3 - 840*h**2 - 7200*h + 7039. Factor b(g).
-(g - 20)**2*(g + 6)**2/2
Suppose -m - 1077*w + 1075*w = 7, -5*w = m + 22. Let k(a) be the first derivative of 18 - 12*a**4 - 3/5*a**5 - 375*a - 300*a**2 - 90*a**m. Factor k(f).
-3*(f + 1)*(f + 5)**3
Let v(s) be the first derivative of -5/8*s**4 + 1/24*s**6 - 9 + 0*s**5 - 5/3*s**3 + 0*s - 3/2*s**2. Let f(w) be the second derivative of v(w). Factor f(y).
5*(y - 2)*(y + 1)**2
Let q(o) = -7*o**4 + 86*o**3 + 9*o**2 - 278*o + 180. Let g(k) = 23*k**4 - 256*k**3 - 27*k**2 + 835*k - 540. Let c(a) = 2*g(a) + 7*q(a). Factor c(l).
-3*(l - 30)*(l - 1)**2*(l + 2)
Let d be (3/36)/(4 + 0). Let p(y) be the third derivative of 0*y + d*y**6 + 0 + 0*y**4 + 1/12*y**5 + 0*y**3 - 1/84*y**7 + 7*y**2. Suppose p(t) = 0. Calculate t.
-1, 0, 2
Let q(l) = -7*l**3 - 1972*l**2 - 322752*l - 8. Let z(v) = 36*v**3 + 9861*v**2 + 1613760*v + 42. Let j(s) = -21*q(s) - 4*z(s). Determine y, given that j(y) = 0.
-328, 0
Let f(b) be the third derivative of 1/30*b**5 - 1/9*b**4 + 0*b - 1/360*b**6 + 0*b**3 - 116*b**2 + 0. Factor f(o).
-o*(o - 4)*(o - 2)/3
Suppose 4*f - 324 = 11*q - 8*q, -2*q - 2*f - 216 = 0. Let r be (-23)/(207/q) + -9. Let 26/15*x**r + 8/15*x + 2/5*x**4 + 0 + 32/15*x**2 = 0. Calculate x.
-2, -1/3, 0
Let c be (-25)/4*((-42)/60*2 - -1). Let a(z) be the second derivative of 30*z - 1/6*z**3 + 0 + 1/20*z**5 + 5/12*z**4 - c*z**2. Factor a(p).
(p - 1)*(p + 1)*(p + 5)
Suppose 16 - 27 = 11*a. Let n(r) = -r**2 - r + 1. Suppose 8*x = 7*x - 3. Let i(m) = 6*m**2 - 12*m - 21. Let g(k) = a*i(k) + x*n(k). Find l such that g(l) = 0.
-1, 6
Let r = 275 + -271. Suppose -r*f = -q - 5, 13*f = -5*q + 9*f + 23. Find z, given that -2/3 + 1/3*z - 1/3*z**q + 2/3*z**2 = 0.
-1, 1, 2
Let f(s) be the third derivative of -s**5/12 - 145*s**4/12 - 7*s**2 - 4*s + 2. Solve f(w) = 0.
-58, 0
Let z = 55947 + -55945. Find q such that 6/7*q**3 + 2/7*q**4 - 2*q + 12/7 - 6/7*q**z = 0.
-3, -2, 1
Suppose -24 = -2*o + 4*n, -5*o - 4*n - 13 + 31 = 0. Let h(d) be the first derivative of -o*d + 27/10*d**2 + 1/5*d**3 - 4. Factor h(x).
3*(x - 1)*(x + 10)/5
Let x(g) = -2*g**2 - g + 1. Let a(h) = 50*h**2 + 7*h + 2. Let o(r) = 17*r**2 + 2*r + 1. Let w(z) = 6*a(z) - 17*o(z). Let i(j) = w(j) + 5*x(j). Factor i(v).
v*(v + 3)
Let s be (4 + 8 + 1100/(-88))/(-3 + 1). Factor 3*g**2 + s - 2*g**3 + 15/8*g.
-(g - 2)*(4*g + 1)**2/8
Factor -226*q - 25538 + 226*q**3 + 1/2*q**4 + 51075/2*q**2.
(q - 1)*(q + 1)*(q + 226)**2/2
Let l(w) be the first derivative of w**6/33 - 694*w**5/55 + 14789*w**4/11 + 181652*w**3/33 + 91525*w**2/11 + 61250*w/11 - 9155. Determine p so that l(p) = 0.
-1, 175
Suppose 0 = 4*n - 3*c + 15, 2*c - 27 = n - 17. Let j(o) be the third derivative of 1/300*o**6 + 0*o + 7*o**2 + 0*o**5 - 1/60*o**4 + 0*o**3 + n. Factor j(y).
2*y*(y - 1)*(y + 1)/5
Suppose 0 = -6*s + 12. Let q be (-2 - 1 - -4) + s. Factor 100*a - 22*a**q - 21*a**2 - 98*a**3 + 51*a**4 + 60 - 6*a**4 - 64*a**2.
5*(a - 3)*(a - 1)*(3*a + 2)**2
Let z(m) be the second derivative of m**4/60 - 31*m**3/30 + 3*m**2 + 1533*m. Factor z(n).
(n - 30)*(n - 1)/5
Factor 825/4 + 1/4*h**2 + 43/2*h.
(h + 11)*(h + 75)/4
Factor -216*f - 11/3*f**4 - 144 - 120*f**2 - 92/3*f**3 - 1/6*f**5.
-(f + 2)**2*(f + 6)**3/6
Suppose -146016/5 + 1443/5*k**4 - 6552*k + 238188/5*k**2 - 9/5*k**5 - 60846/5*k**3 = 0. What is k?
-2/3, 1, 4, 78
Let f(s) be the first derivative of -s**4/6 - 20*s**3/9 + 32*s**2/3 + 64*s + 1021. Solve f(h) = 0.
-12, -2, 4
Let u(v) be the second derivative of v**5/55 - 27*v**4/22 - 116*v**3/11 - 356*v**2/11 + 9115*v. What is f in u(f) = 0?
-2, 89/2
Factor 2/5*u**2 + 6 + 16/5*u.
2*(u + 3)*(u + 5)/5
Let z(x) = x**2 + 2485*x + 7448. Let t be z(-3). Factor 2/7*i**3 - 2/7*i**t + 0*i + 0.
2*i**2*(i - 1)/7
Let a(r) = r**3 + 10*r**2 + 22*r + 10. Let b be (29/(319/154))/(0 - 2). Let g be a(b). Factor -1/2*w**4 + 0*w**g + 3/2*w**2 + w + 0.
-w*(w - 2)*(w + 1)**2/2
Factor -93*x**5 - 95*x**4 - 67*x - 13*x - 255*x**3 + 282*x**5 - 103*x**5 - 91*x**5 - 245*x**2.
-5*x*(x + 1)**3*(x + 16)
Suppose -2278*j + 459 = -1115*j - 1010*j. Factor -2/3*o**4 + 208/3*o**j - 2380*o**2 + 85750/3 + 78400/3*o.
-2*(o - 35)**3*(o + 1)/3
Let x(a) = 3*a**2 - 9. Let y be x(-4). Suppose y + 12 = 17*f. Find b such that -465*b*