
-3, 0
Let k be (-1)/(-5) + 13*(-5262)/(-120). Let r = k - 569. Solve 1 + r*t + 1/4*t**2 = 0.
-4, -1
Suppose 6*w - 9 - 467 = -62*w. Let x(p) be the third derivative of -1/540*p**6 - w*p**2 + 0*p**3 - 1/27*p**4 + 0*p + 0 + 1/54*p**5. Factor x(c).
-2*c*(c - 4)*(c - 1)/9
Suppose 50*q - 30 = 55*q, -4 = 4*f + 4*q. Let c(k) be the second derivative of -7/5*k**f + 4/3*k**3 + 0 + 0*k**2 - 34*k + 5/3*k**4. Factor c(n).
-4*n*(n - 1)*(7*n + 2)
Let t = 1/14110 + 112877/42330. Factor -t*d + 2/3*d**2 + 0.
2*d*(d - 4)/3
Let q = -77186 - -77190. Find c, given that -21/8*c**3 + 12*c + 9/4*c**2 - 12 + 3/8*c**q = 0.
-2, 1, 4
Let v(i) be the first derivative of -2*i**6/21 + 94*i**5/35 + 9*i**4 + 206*i**3/21 + 26*i**2/7 - 1040. Solve v(r) = 0.
-1, -1/2, 0, 26
Let z(k) be the second derivative of -k**4/6 - 18*k**3 + 171*k**2 - 34*k - 1. Find b such that z(b) = 0.
-57, 3
Determine v, given that 19*v**2 - 3 - 57 - 3*v**2 - 17*v**2 - 58 + 119*v = 0.
1, 118
Let p(s) be the second derivative of -3/35*s**5 - 10/21*s**4 - 2*s - 20/7*s**2 - 2 + 46/21*s**3. Factor p(b).
-4*(b - 1)*(b + 5)*(3*b - 2)/7
Let c(r) be the first derivative of r**7/84 - r**6/60 - 3*r**5/40 + r**4/24 + r**3/6 - 82*r + 254. Let p(l) be the first derivative of c(l). Factor p(i).
i*(i - 2)*(i - 1)*(i + 1)**2/2
Let o = -103777/45 + 20756/9. Let z(b) be the first derivative of 7/10*b**2 + o*b**3 + 12/5*b - 32. Solve z(v) = 0 for v.
-4, -3
Let i(m) = 3*m - 28. Let d be i(16). Let j(l) be the first derivative of -7*l + 2 - 26*l**2 + 13 - d*l**3 - l. Factor j(h).
-4*(3*h + 2)*(5*h + 1)
Suppose -22*t + 23*t - 26 = v, -66 = 2*v + 5*t. Let s be (-28 - v) + (-4)/(-30). Find w, given that 2/15*w**5 - 2/3*w**4 + 2/3*w + 4/3*w**3 - 4/3*w**2 - s = 0.
1
Let d(a) be the first derivative of a**7/14 + 7*a**6/40 - 2*a**5/5 - a**4/2 + 19*a**2/2 + 2*a - 25. Let i(h) be the second derivative of d(h). Factor i(k).
3*k*(k - 1)*(k + 2)*(5*k + 2)
Let t = -29 + 37. Suppose -4*w = 2*j - 20, j + 5*w = w + 12. Factor t*r - 7*r - 5*r - j*r**2 + 4.
-4*(r + 1)*(2*r - 1)
Let m(z) be the second derivative of -1/90*z**5 - 39*z + 0*z**3 - 1 + 5/27*z**4 + 0*z**2. Find k such that m(k) = 0.
0, 10
Let v(g) be the first derivative of -19/2*g**4 + 8/5*g**5 + 48*g + 60 - 1/9*g**6 + 268/9*g**3 - 52*g**2. Solve v(o) = 0 for o.
2, 3
Let i(q) = 3*q**2 - 50*q - 24. Let w be i(17). Let s be (10/7)/(-5)*w + 1. Suppose 2*p**4 + 6*p**2 - 4*p**2 + 2*p**3 - 7*p**3 + p**s = 0. What is p?
0, 1
Let a(s) = -s**3 - 10*s**2 - 15*s - 20. Let k be a(-9). Factor -34*g - 2*g**5 + 0*g**3 + k*g - 4*g**2 - g**3 + 7*g**3.
-2*g**2*(g - 1)**2*(g + 2)
Suppose 18 = 6*v - 6. Suppose 6*u - 8 = v*u. Determine r so that r**3 + u*r**3 + 10*r**2 + 25*r - 10 - 30*r**3 = 0.
-1, 2/5, 1
Let q(t) be the third derivative of t**6/120 + 11*t**5/60 - 5*t**4/3 + 14*t**3/3 + t**2 - 152. Let q(h) = 0. Calculate h.
-14, 1, 2
Let p be -2 + -9 - ((-3)/(-3))/((-40)/520). Find s such that 0*s**p + 0*s**4 + 0 + 1/4*s + 1/4*s**5 - 1/2*s**3 = 0.
-1, 0, 1
Let h be 48/228 + 2232/589. Factor 2/7*w**h + 0*w**3 + 0 + 0*w - 2/7*w**2.
2*w**2*(w - 1)*(w + 1)/7
Suppose 239 = 10*p + 19. Let f(r) = r**3 - 12*r**2 - 12*r + 12. Let t(o) = o**2 + o - 1. Let m(c) = p*t(c) + 2*f(c). Factor m(v).
2*(v - 1)**2*(v + 1)
Let q(v) = 20*v + 104. Let w be q(-5). Let o(l) be the second derivative of 0 - 1/30*l**5 + 1/9*l**w - 2/3*l**2 + 1/9*l**3 - 17*l. Factor o(n).
-2*(n - 2)*(n - 1)*(n + 1)/3
Let c be ((-4)/(-18) - (-10)/(-45)) + 1. Suppose -4*i = 5*s - 513, -4*s + 0*i + 5*i = -435. Let 149*t**2 + 146*t**2 + c + 115*t + 9 - s*t**2 = 0. What is t?
-1/2, -2/19
Suppose 17145*p = 17170*p - 75. Let u(g) be the first derivative of -2/75*g**5 - 2/9*g**p - 24 - 2/15*g**2 - 2/15*g**4 + 0*g. Factor u(z).
-2*z*(z + 1)**2*(z + 2)/15
Let f be 0/(3/42*4*-7). Let h be (-1 - f)/((-77)/77). Factor 7/6*g - h - 1/6*g**2.
-(g - 6)*(g - 1)/6
Suppose 0 + 0*n - 10*n**3 + 54/7*n**4 + 16/7*n**2 = 0. Calculate n.
0, 8/27, 1
Let f = 38 - 34. Factor 20*y**3 + 112 - 15*y**2 - 5*y**f - 58 - 54.
-5*y**2*(y - 3)*(y - 1)
Let x(u) = -19*u - 443. Let g be x(-26). Let l be g/(-15) + 3 + (-216)/(-90). Factor -2/7 + 0*f + 2/7*f**l.
2*(f - 1)*(f + 1)/7
Let b be (-3)/(1*15/(-10)). Factor 7*s - 6*s - 151*s**2 + 150*s**b.
-s*(s - 1)
Let f(h) = -54*h**2 - 2884*h - 1162. Let n be f(-53). Factor n*u + 4/3*u**3 - 8*u**2 + 40/3.
4*(u - 5)*(u - 2)*(u + 1)/3
Let i(z) be the third derivative of 0*z - 1/504*z**8 + 0*z**3 + 0 - 11/20*z**6 + 0*z**4 + 9/10*z**5 + 232*z**2 + 19/315*z**7. Factor i(q).
-2*q**2*(q - 9)**2*(q - 1)/3
Let c(s) be the third derivative of s**7/210 + 11*s**6/120 + 2*s**5/5 - s**2. Find b, given that c(b) = 0.
-8, -3, 0
Factor -12*m**2 - 54/5*m - 2/5*m**3 + 116/5.
-2*(m - 1)*(m + 2)*(m + 29)/5
Let d(r) be the third derivative of r**5/30 - 274*r**4/3 + 300304*r**3/3 - 477*r**2 - 2. Factor d(i).
2*(i - 548)**2
Let x(z) be the second derivative of -z**4/4 - 1852*z**3 - 5144856*z**2 - 2861*z + 2. Solve x(g) = 0.
-1852
Suppose u - 2 + 0 = 0. Factor 24*n - 120*n**2 - 118*n**u + 236*n**2.
-2*n*(n - 12)
Let n be 347 + -314 + (-294)/9. Factor -n*f**2 - 2/3*f + 1.
-(f - 1)*(f + 3)/3
Determine z, given that -412/3*z - 4/3*z**3 - 248/9*z**2 + 440/9 = 0.
-11, -10, 1/3
Let t(z) be the second derivative of z**7/630 + z**6/18 + 3*z**5/10 + 5*z**4/3 + 93*z + 1. Let q(x) be the third derivative of t(x). Factor q(a).
4*(a + 1)*(a + 9)
Let u(r) be the third derivative of -r**7/840 + r**6/180 + r**5/120 - r**4/12 - 9*r**3 + 48*r**2. Let l(a) be the first derivative of u(a). Factor l(d).
-(d - 2)*(d - 1)*(d + 1)
Let p = -35 - -40. Suppose 21 = p*q + 3*j, 0*j - 2*j + 10 = 2*q. Suppose -3*d**3 - 9*d**2 - 2*d**3 - d**q - 3*d = 0. Calculate d.
-1, -1/2, 0
Let n(p) = -p**3 + 3*p**2 + 2*p + 9. Let d be n(4). Let a be 51/20 - (28/16 - d). Suppose -3/5 + a*y - 9/5*y**3 + 3/5*y**2 = 0. Calculate y.
-1, 1/3, 1
Determine c so that -3*c**5 - 2535*c**2 - 2500*c**3 + 8945 + 0*c**5 + 9767*c**2 + 3855 + 22720*c - c**5 + 184*c**4 = 0.
-1, 8, 20
Suppose 13*t + 504 = 55*t. Suppose 0 = -3*u - 4*y - 20, -3*u - t*y + 10 = -14*y. Find s, given that 18/7*s**3 + 48/7*s**2 + 40/7*s + 2/7*s**4 + u = 0.
-5, -2, 0
Let u(y) be the second derivative of y**6/165 - 11*y**5/10 - 248*y**4/33 - 500*y**3/33 - 1737*y + 3. Solve u(n) = 0 for n.
-2, 0, 125
Let c(y) = -84*y**3 + 1905*y**2 - 3844*y + 1924. Let f(j) = 15*j**3 - 381*j**2 + 769*j - 385. Let n(u) = -2*c(u) - 11*f(u). Solve n(p) = 0 for p.
-129, 1
Suppose 72*u = 75*u - 42. Suppose d + 3 = 3*b, -4*b + 5*d - 7*d + u = 0. Find m, given that -10 - 3*m**4 + 10*m**b + 5*m**5 + 15*m - 20*m**3 + 3*m**4 = 0.
-2, -1, 1
Suppose 280*t + 3601 - 4441 = 0. Factor -138/7 + 282/7*q - 150/7*q**2 + 6/7*q**t.
6*(q - 23)*(q - 1)**2/7
Let t(l) be the third derivative of 0 - 18*l**2 + 1/120*l**6 + 1/15*l**5 - 19/24*l**4 + 0*l + 7/3*l**3. Factor t(d).
(d - 2)*(d - 1)*(d + 7)
Let u(m) be the first derivative of 115 - 42*m + 27/2*m**2 - m**3. Suppose u(x) = 0. Calculate x.
2, 7
Factor 69*p**3 + 20*p**2 + 36*p**3 + 12*p**4 - 13*p**4 + 5*p**5 - 49*p**4 - 140*p.
5*p*(p - 7)*(p - 2)**2*(p + 1)
Factor -1/4*r**2 + 1031/2 + 2061/4*r.
-(r - 2062)*(r + 1)/4
Let 14*x + 55*x**2 - 3*x**3 + 8*x**4 - 33*x**2 - 44*x**2 - x + x**5 + 3*x = 0. Calculate x.
-8, -2, 0, 1
Let r(b) = 331*b**2 - 1301*b + 3929. Let h(m) = -132*m**2 + 650*m - 1964. Let n(g) = 10*h(g) + 4*r(g). Let n(i) = 0. Calculate i.
-327, 3
Let r = 1306/2261 - 2/323. Factor -r*p**2 - 576/7 + 96/7*p.
-4*(p - 12)**2/7
Let s(n) be the first derivative of -n**2 - 9*n + 16. Let p be s(-6). Factor 331*y**4 - 8*y**3 + 3*y**p - 331*y**4 + 5*y**5.
5*y**3*(y - 1)*(y + 1)
Let d(h) be the first derivative of h**4/60 + h**3/6 + 2*h**2/5 - 48*h + 8. Let s(w) be the first derivative of d(w). Factor s(j).
(j + 1)*(j + 4)/5
Suppose 34*a**2 + 21*a**3 - 387*a + 50*a**2 - 12*a**4 + 159*a**2 - 57*a**2 - 108 = 0. Calculate a.
-4, -1/4, 3
Let n(f) be the second derivative of -14*f + 4 + 35/2*f**3 + 10/3*f**4 - 45/2*f**2. Factor n(j).
5*(j + 3)*(8*j - 3)
Let m(r) = 4*r**4 + 16*r**3 + 24*r**2 - 3*r - 30. Let l(z) = 4*z**4 + 12*z**3 + 24*z**2 - 4*z - 40. Let c(n) = -3*l(n) + 4*m(n). Suppose c(h) = 0. Calculate h.
-6, -1, 0
Let o(t) be the second derivative of -35/12*t**4 - 5*t**3 + 0*t**2 - 15*t - 1/4*t**5 + 0. Factor o(s).
-5*s*(s + 1)*(s + 6)
Suppos