*2 - 66/7*z**4 - 3/7*z**5 + 0 + 216/7*z**3 = 0.
-25, 0, 1
Let u(b) be the first derivative of -b**5/210 - 2*b**2 + 18. Let l(n) be the second derivative of u(n). Factor l(x).
-2*x**2/7
Let f be 14 + -11 - (4 - 15/11). Solve 6/11*g - 2/11*g**2 - f = 0 for g.
1, 2
Let a(c) be the second derivative of c**5/270 + c**4/108 - 2*c**3/27 - 7*c**2/2 + 7*c. Let v(r) be the first derivative of a(r). Solve v(b) = 0 for b.
-2, 1
Let l(b) be the first derivative of b**8/56 - b**7/10 + b**5/2 - b**4/4 - 3*b**3/2 + 3*b**2 - 34. Let t(u) be the second derivative of l(u). Solve t(c) = 0.
-1, -1/2, 1, 3
Let k be 1/(-4) + 195/140. Let n be 276/115*45/27. Suppose 4/7*r**2 - 6/7 + k*r - 8/7*r**3 + 2/7*r**n = 0. What is r?
-1, 1, 3
What is p in -7/2*p - 3*p**2 + 1/2*p**3 + 0 = 0?
-1, 0, 7
Factor -9/4*y + 3 - 3/4*y**2.
-3*(y - 1)*(y + 4)/4
Factor 10*q**2 - 1782*q**3 + 10*q + 1787*q**3 - 5*q.
5*q*(q + 1)**2
Find j such that 0 + 4/5*j**2 + 16*j - 4/5*j**3 = 0.
-4, 0, 5
Let q(i) be the second derivative of 43*i**5/130 - 29*i**4/26 + 2*i**3/39 - 47*i + 2. Let q(l) = 0. Calculate l.
0, 1/43, 2
Let l = 4326/395 - 12/79. What is s in l*s + 18/5*s**2 + 2/5*s**3 + 54/5 = 0?
-3
Let k = 253 - 758/3. Let v(o) be the first derivative of 0*o - 4 - k*o**2 - 1/6*o**4 - 4/9*o**3. Determine z so that v(z) = 0.
-1, 0
Determine h, given that -2*h**4 + 0*h**3 - 57*h**3 - 134*h**2 + 26 - h**5 - 156*h - 10*h**4 - 98 = 0.
-3, -2
Let s be (-22)/(154/21)*-2*(-11)/(-18). Factor 0 - 2/3*f - s*f**3 + 13/3*f**2.
-f*(f - 1)*(11*f - 2)/3
Factor 58*d**4 - 53*d**3 + 76*d**5 + 79*d**5 - 157*d**5 - 4500*d**2 - 6*d**3 - 19494 - 33*d**3 - 17442*d.
-2*(d - 19)**2*(d + 3)**3
Let 329*t + 58*t - 27*t**3 - 356*t**2 + 108*t**2 + 13*t**3 - 49*t - 76 = 0. What is t?
-19, 2/7, 1
Let s = -1/3383 + 13539/23681. Factor -s + 12/7*v + 4/7*v**3 - 12/7*v**2.
4*(v - 1)**3/7
Let k(o) be the third derivative of o**7/1365 - o**6/390 - o**5/390 + o**4/78 - 567*o**2. Factor k(h).
2*h*(h - 2)*(h - 1)*(h + 1)/13
Suppose -20*n + 23 = -77. Let p(s) be the first derivative of 2*s - 1/4*s**4 - 2/3*s**3 - n + 1/2*s**2. Factor p(w).
-(w - 1)*(w + 1)*(w + 2)
Let g be ((-5)/(-2))/(15/12). Let f(t) = 3*t - 1. Let s be f(g). Factor -2*x**3 + 8*x + x**5 + 0*x**s - 7*x.
x*(x - 1)**2*(x + 1)**2
Let t(b) be the second derivative of -b**5/8 + 5*b**4/4 - 25*b**3/12 - b + 87. Factor t(s).
-5*s*(s - 5)*(s - 1)/2
Let z = 4426/23 - 686513/3565. Let i = 2/31 - z. Factor i*b**2 - 8/5*b + 16/5.
(b - 4)**2/5
Let m = -2514 + 2514. Factor -4/3*y**3 - 5/6*y**4 - 1/2*y**2 + 0*y + m.
-y**2*(y + 1)*(5*y + 3)/6
Factor -104*h**2 - 140 - 39 - 262*h - 221 - 4*h**3 - 238*h.
-4*(h + 1)*(h + 5)*(h + 20)
Let b(r) be the second derivative of 0*r**2 + 2*r**4 - 3/5*r**5 - 8/3*r**3 + 20*r + 0 + 1/15*r**6. Factor b(i).
2*i*(i - 2)**3
Let i(y) be the third derivative of 4*y**7/315 - 13*y**6/90 + y**5/3 + y**4/18 - 10*y**3/9 - y**2 - 34*y. Let i(t) = 0. Calculate t.
-1/2, 1, 5
Suppose m = 2*k - 0*m - 12, k = -m + 3. Factor -48 + k*a - 4*a + 23*a - 3*a**2.
-3*(a - 4)**2
Let n(m) = 3 - 7*m - m**2 - 5 + m. Let s be n(-5). Factor 14 - 14 - 3*y**s.
-3*y**3
Let k(r) be the third derivative of r**7/1365 - 11*r**6/60 + 1128*r**5/65 - 8640*r**4/13 - 36864*r**3/13 - 24*r**2 - r. Factor k(b).
2*(b - 48)**3*(b + 1)/13
Suppose w = 4*j - 19, -2*j + 4*j - 2*w = 14. Suppose j*s + m = 12, 1 = -4*s + 3*m - 3. Solve -7*r**2 - 2*r**s - 16*r - r**2 - 8 - 2*r**3 = 0 for r.
-2, -1
Let i be (-2)/2 - 2/(-2). Suppose 6 = 3*f - i. Factor 4*g - 6*g**3 + 2*g**f + 2*g - 5*g**2 + 2*g**4 + g**4.
3*g*(g - 2)*(g - 1)*(g + 1)
Suppose 0 = 2*l - 7*l, -2*l - 20 = -4*v. Let q(d) be the third derivative of -1/300*d**v + d**2 - 1/20*d**4 + 0*d + 0 - 3/10*d**3. Find f, given that q(f) = 0.
-3
Let f(d) = 3*d**2 - 31*d - 66. Let b(p) = p**2 - p + 2. Let g(a) = 2*b(a) - 2*f(a). Determine q, given that g(q) = 0.
-2, 17
Let g = -1681 + 8407/5. Solve -4/5*o + g*o**3 + 0 - 2/5*o**2 = 0 for o.
-1, 0, 2
Let s(t) = t + 23. Let l be s(3). Let o(f) = 4*f - 102. Let n be o(l). Factor -2/5*h + 0 - 1/5*h**n.
-h*(h + 2)/5
Let u = 2369 + -11843/5. Factor 0 + 1/5*o**3 + 0*o + u*o**2.
o**2*(o + 2)/5
Let -6*p**3 + 19 - 17*p + 57*p**2 + p - p - 7*p - 46 = 0. What is p?
-1/2, 1, 9
Let h(c) be the third derivative of -c**6/180 - c**5/45 + 31*c**4/36 - 28*c**3/9 + 2*c**2 + 113*c. Factor h(w).
-2*(w - 4)*(w - 1)*(w + 7)/3
Let s = -1710 + 1714. Find n, given that 0 - 2/11*n**s + 6/11*n**2 + 0*n**3 + 4/11*n = 0.
-1, 0, 2
Suppose 3*p + 4 = -4*k + 10, 0 = p + k - 2. Let a be 4*(-2)/p*3/(-42). Factor a*w**3 - 4/7 + 0*w**2 - 6/7*w.
2*(w - 2)*(w + 1)**2/7
Suppose 45 = 21*m - 18. Let n(i) be the third derivative of -5*i**2 - 1/2*i**m + 0*i**4 + 1/20*i**5 + 0*i + 0. Determine w so that n(w) = 0.
-1, 1
Let p(b) be the third derivative of 1/180*b**6 + 16*b**2 + 0*b + 0 - 1/45*b**5 + 0*b**4 + 0*b**3. Factor p(y).
2*y**2*(y - 2)/3
Suppose -53*z + 15 = -50*z. Let 18*d**3 - 14*d**4 + 22*d**4 - d**4 + 8*d - 5*d**z - 28*d**2 = 0. Calculate d.
-2, 0, 2/5, 1, 2
Let z(l) = 12*l**2 + 2*l - 2. Let r(s) = s**2 - 1. Let j(w) = 4*r(w) - 2*z(w). What is f in j(f) = 0?
-1/5, 0
Factor 0 - 5/2*g**2 - 4*g.
-g*(5*g + 8)/2
Suppose -164 - 141 - 123 = -214*j. Factor -8/5 - 6/5*z**j + 1/5*z**3 + 12/5*z.
(z - 2)**3/5
Let i = 16513/4 + -4128. Factor i*t**2 + 1/2*t - 3/4.
(t - 1)*(t + 3)/4
Find d, given that 0*d**2 + d**2 - 33 + 33 + 2*d = 0.
-2, 0
Let x = 1649 - 1649. Let a(l) be the third derivative of 0*l - 4/9*l**3 + 12*l**2 - 1/90*l**5 - 1/9*l**4 + x. Factor a(i).
-2*(i + 2)**2/3
Let o(h) be the first derivative of 9 + 4/5*h**2 - 8/5*h - 2/15*h**3. Factor o(f).
-2*(f - 2)**2/5
Let j(t) = t**2 - 22*t + 116. Let p be j(14). Let h(m) be the third derivative of -1/3*m**5 + 0*m**3 + 0 - 1/3*m**p + 0*m + 9*m**2. Let h(i) = 0. Calculate i.
-2/5, 0
Let t(v) = -68*v**2 + 14*v + 7. Let n(f) = -58*f**2 + 14*f + 6. Let s(h) = -7*n(h) + 6*t(h). Find b, given that s(b) = 0.
-7, 0
Factor 85750/13 + 210/13*o**2 - 2/13*o**3 - 7350/13*o.
-2*(o - 35)**3/13
Let a(j) = 4*j**2 + 21*j + 37. Let b be a(-9). Let h = 174 - b. Find d such that -3/4 - 9/8*d**h + 3/8*d**4 + 3/8*d**3 - 15/8*d = 0.
-1, 2
Let o be (-1026)/(-285) + 4/10. Determine f so that -8/3*f**3 - 8/3*f**2 - 4/3 + o*f**4 + 4*f - 4/3*f**5 = 0.
-1, 1
Let i(r) = -6*r + 44. Let w be i(7). Factor 39*j**2 - 74*j**w + 5 + 40*j**2 + 10*j.
5*(j + 1)**2
Let t(j) = j**2 - 47*j - 704. Let c be t(59). Let 0 + 14/11*v**c + 8/11*v + 16/11*v**2 - 38/11*v**3 = 0. What is v?
-2/7, 0, 1, 2
Let r(b) be the second derivative of b**7/840 - b**6/120 + b**5/40 + 7*b**4/12 - 13*b. Let o(k) be the third derivative of r(k). Factor o(s).
3*(s - 1)**2
Let w(t) be the third derivative of t**6/60 + t**5/6 + 41*t**2 + 2. Determine v so that w(v) = 0.
-5, 0
Let v = 50238 + -50236. Find y such that 1/5*y**3 + 1/5*y + 0 + 2/5*y**v = 0.
-1, 0
Suppose 0*u = 4*u - 20. Let l(y) be the second derivative of 1/45*y**6 - 7/18*y**3 + 1/126*y**7 + 0 - 1/3*y**2 - 2/9*y**4 - 3*y - 1/30*y**u. Factor l(q).
(q - 2)*(q + 1)**4/3
Determine d, given that 7*d**3 + 0 - 7/3*d**5 - 2/3*d**4 - 4/3*d - 8/3*d**2 = 0.
-2, -2/7, 0, 1
Let h(s) = -3*s + 6. Let m be h(4). Let y = m - -8. Solve -3*u**5 - 3*u**3 - y*u**2 + 2*u**2 + 6*u**5 = 0.
-1, 0, 1
Let x = -27 - -27. Let w(v) be the second derivative of 0 - 1/50*v**5 + 0*v**4 + 1/30*v**3 + x*v**6 + 1/210*v**7 + 0*v**2 + 11*v. Determine n so that w(n) = 0.
-1, 0, 1
Let y be (-5216)/80 + 2/1. Let b = -63 - y. Factor -b*i**4 - 1/5 - 4/5*i**3 - 6/5*i**2 - 4/5*i.
-(i + 1)**4/5
Suppose -2/5*p + 2/5*p**2 + 0 = 0. Calculate p.
0, 1
Let k(v) be the first derivative of -v**6/36 + v**5/5 + v**4 + 13*v**3/9 + 3*v**2/4 + 291. Find l, given that k(l) = 0.
-1, 0, 9
Let z(s) be the first derivative of 5*s**4/12 + 5*s**3/3 + 5*s**2/2 + 8*s - 10. Let k(p) be the first derivative of z(p). Let k(i) = 0. What is i?
-1
Let y(g) be the third derivative of -g**5/120 + 53*g**4/48 - 13*g**3/3 + 163*g**2. Solve y(l) = 0 for l.
1, 52
Factor -1/7*d**3 - 240/7 + 104/7*d - d**2.
-(d - 4)**2*(d + 15)/7
Let d(f) = f**2 - 10*f + 12. Let b = 2 + 7. Let z be d(b). Solve -21*y + 10*y**z + 2 - y**2 + 11*y**3 + 7*y**2 - 8 = 0 for y.
-1, -2/7, 1
Let d(y) = -3*y**3 - 24*y**2 + 8*y + 24. Let a(p) = -p**3 - 12*p**2 + 4*p + 12. Suppose 0 = -9*f - 4*f - 39. Let j(u) = f*d(u) + 5*a(