*(r + 4)/9
Factor -302*s - 192*s - 93*s**2 + 0*s**3 - 4*s**3 - 182*s - 11*s**2.
-4*s*(s + 13)**2
Suppose 3*y = -5*l + 4*l - 1579, -4*y + 3*l - 2088 = 0. Let o be -114*5/y + (-2)/7. Factor -o*j**2 + 4/5*j**4 + 0 + 0*j**3 + 0*j.
4*j**2*(j - 1)*(j + 1)/5
Let z(h) be the third derivative of 2/3*h**3 - 1/15*h**5 + 0 - 1/6*h**4 + 0*h + 1/30*h**6 - 6*h**2. Factor z(d).
4*(d - 1)**2*(d + 1)
Let z be (-7)/(-6) - (-2)/(-3). Let s be 12/14*7 - 4. Let x**3 - 1/2*x + 0 + 0*x**4 + 0*x**s - z*x**5 = 0. Calculate x.
-1, 0, 1
Factor -1/4*r**2 + 12*r - 144.
-(r - 24)**2/4
Let u(a) = -4*a**3 - 218*a**2 - 452*a - 231. Let y(k) = 3*k**3 + 145*k**2 + 301*k + 154. Let f(n) = 5*u(n) + 7*y(n). Factor f(g).
(g - 77)*(g + 1)**2
Let c be 13/(-2) - (-2)/4. Let d = c + 8. Solve -2*k**3 + 4*k**4 - d*k**4 + 3*k**2 - 2*k**2 + 2*k**5 - 3*k**2 = 0 for k.
-1, 0, 1
Suppose -4*z = -z. Suppose 0 = 67*m - 5*m - 248. Solve -2*y**2 + 2*y**3 + z - 4/7*y**m + 4/7*y = 0 for y.
0, 1/2, 1, 2
Let r be (-10)/(-95) - (7 - 131/19). Factor 1/3*m**2 + 1/3*m**5 - 1/3*m**4 + 0*m + r - 1/3*m**3.
m**2*(m - 1)**2*(m + 1)/3
Let z = 62 + -84. Let o(c) = c**2 + 22*c + 2. Let r be o(z). Suppose -6/5*b - 6/5*b**r - 2/5 - 2/5*b**3 = 0. Calculate b.
-1
Let q(u) = 2*u**2 + 2*u + 3. Let v be q(-2). Let l be (-2)/4 + v + -6. Factor z**3 - 1/2 - 1/2*z**4 + z**2 - l*z**5 - 1/2*z.
-(z - 1)**2*(z + 1)**3/2
Suppose 139*b + 0 = 108*b - 0. Determine o, given that o**2 + 1/2*o + 1/2*o**3 + b = 0.
-1, 0
Let i(c) be the first derivative of -c**4/3 - 8*c**3/9 + 448. Factor i(w).
-4*w**2*(w + 2)/3
Let t(y) be the first derivative of -y**9/756 + 2*y**7/105 - y**6/45 - y**5/10 + y**4/3 - 43*y**3/3 + 11. Let q(l) be the third derivative of t(l). Factor q(c).
-4*(c - 1)**3*(c + 1)*(c + 2)
Let d(a) = -2*a**5 + a**4 - a**2 - 8*a - 5. Let k(v) = -9*v**5 + 6*v**4 - 6*v**2 - 39*v - 24. Let w(h) = -24*d(h) + 5*k(h). Suppose w(i) = 0. Calculate i.
-1, 0, 1
Let k be (-10)/(-95) + 910/741. Let j = 130/3 + -43. Factor -4/3*z - 1/3 - k*z**3 - 2*z**2 - j*z**4.
-(z + 1)**4/3
Let f(v) = v**2 - 10*v + 13. Let u be f(9). Solve 4*n**2 - 9 - 44*n**3 + 13 - u + 121*n**4 = 0.
0, 2/11
Let c(u) be the first derivative of 81*u**4/2 - 942*u**3 + 616*u**2 - 136*u + 467. Find a, given that c(a) = 0.
2/9, 17
Factor 1203792 - 5*a**5 + 14*a - 1203757 - 79*a - 25*a**4 + 70*a**3 - 10*a**2.
-5*(a - 1)**3*(a + 1)*(a + 7)
Let q(b) be the second derivative of 0*b**2 + 1/60*b**6 + 1/20*b**5 + 0*b**3 + 0*b**4 + 0 + 12*b. Find f, given that q(f) = 0.
-2, 0
Let r = -9 - -135. Let f be (-54)/r*(-3)/((-9)/(-2)). Factor f + 6/7*w**2 + 8/7*w.
2*(w + 1)*(3*w + 1)/7
Let r(c) be the second derivative of -c**4/24 + 25*c**2/4 + 9*c - 10. Find w such that r(w) = 0.
-5, 5
Factor 232*s - 33*s + 64 + 2*s**3 + 38*s**2 - 99*s.
2*(s + 1)*(s + 2)*(s + 16)
Let t(j) = j**2 + 10*j + 5. Let d be t(-8). Let w = d - -11. What is n in 4*n**2 + w*n - 4*n**2 + n**2 - n = 0?
0, 1
Let g = -4069 + 16277/4. Factor g*u**2 - u + 3/4.
(u - 3)*(u - 1)/4
Suppose -3*q = -2*x + 7 + 12, 0 = -3*x + 4*q + 26. What is r in 1/4*r + 1/4*r**3 + 0 + 1/2*r**x = 0?
-1, 0
Let a(m) be the first derivative of 0*m**2 + m + 0*m**4 - 1/6*m**3 - 5 + 1/20*m**5. Let q(c) be the first derivative of a(c). Solve q(j) = 0.
-1, 0, 1
Let p = -379/6 - -191/3. Let 3/2*r**3 + 1/2*r**4 + 0 + p*r + 3/2*r**2 = 0. What is r?
-1, 0
Let z be 13/39*4*(-3)/(-2). Let t(q) be the first derivative of 0*q + 1/4*q**4 - 1/3*q**3 + 1/5*q**5 + 8 - 1/2*q**z. Factor t(d).
d*(d - 1)*(d + 1)**2
Factor -5/3*a - 5/3*a**2 + 10.
-5*(a - 2)*(a + 3)/3
Let g = -1853/7 - -265. Find y such that 0 + 2/7*y**2 + g*y = 0.
-1, 0
Factor -8/5*q**2 - 4/5 - 2/5*q**3 - 2*q.
-2*(q + 1)**2*(q + 2)/5
Let n(t) = t**3 - 7*t**2 + 10. Let f be n(7). Suppose -f*c + 29 = 9. Suppose 2/5 + 4/5*r + 2/5*r**c = 0. What is r?
-1
Let p = 6544 + -12293/2. Let -15/2*y**4 - 250 - 600*y - p*y**2 - 95*y**3 = 0. Calculate y.
-5, -2, -2/3
Factor 2*w**2 + 21*w - 12 - 33*w - 5*w**2.
-3*(w + 2)**2
Suppose -6 + 21 = 5*f. Suppose 20 = f*k + 5. Factor 2*g**4 - 2*g**5 - g**4 + 3*g**3 - 4*g + 3*g**4 + 3*g**k - 4*g**2.
g*(g - 1)*(g + 1)*(g + 2)**2
Let z(x) be the second derivative of x**4/4 + x**3 - 9*x**2/2 + x + 149. Factor z(o).
3*(o - 1)*(o + 3)
Suppose -4*b = -2*b. Suppose b + 6 = 2*s. Factor -58 + 58 - s*u**2.
-3*u**2
Let f(b) be the third derivative of -2*b**7/45 + 8*b**6/45 - 11*b**5/45 + b**4/9 - 228*b**2. Factor f(t).
-4*t*(t - 1)**2*(7*t - 2)/3
Let j = -13507/2 + 6754. Suppose 0*m**3 + 0*m + 0 - j*m**2 + 1/2*m**4 = 0. What is m?
-1, 0, 1
Let s(g) = 5*g**3 + 37*g**2 + 76*g + 62. Let a(w) = -15*w**3 - 112*w**2 - 226*w - 187. Let t(v) = -2*a(v) - 7*s(v). Factor t(o).
-5*(o + 2)**2*(o + 3)
Let c(q) = 2*q**2 - q + 3. Let l(i) = -i**2. Let g(x) = c(x) + 4*l(x). Let n(t) = -t**2 - t + 2. Let k(a) = 2*g(a) - 3*n(a). Let k(b) = 0. Calculate b.
0, 1
Factor -3/5*q**2 + 6/5*q + 21.
-3*(q - 7)*(q + 5)/5
Let s(y) be the second derivative of -y**7/420 - y**6/20 - 2*y**5/15 + y**3/3 - y + 33. Let r(j) be the second derivative of s(j). Solve r(w) = 0.
-8, -1, 0
Factor 16/3*a + 32 - 10/3*a**2 - 2/3*a**3.
-2*(a - 3)*(a + 4)**2/3
Suppose -6*m - 6 = -0. Let c be (2 + m)/(1/4). Find i, given that i**4 - 17*i**3 + 13*i**3 - 5*i**c = 0.
-1, 0
Let a(b) be the first derivative of 0*b + 3/20*b**4 + 0*b**3 - 15 - 6/5*b**2. Factor a(h).
3*h*(h - 2)*(h + 2)/5
Factor 179*c**2 + 19*c + 175*c**2 - 357*c**2 + 39 + 17*c.
-3*(c - 13)*(c + 1)
Let u(g) = -g**3 + 7*g**2 - 12*g + 12. Let d be u(5). Suppose 4*b - d*m = 3*m - 2, -b = -4*m + 6. Solve 0 + 2/7*s**b + 1/7*s + 1/7*s**3 = 0 for s.
-1, 0
Let i be (7/(-21))/((-1)/9). Factor 28*g + 2*g**3 - 4*g**i - 20*g**2 - 12 + 6*g**3.
4*(g - 3)*(g - 1)**2
Let l(a) = a - 28. Let d be l(30). Let b(w) be the second derivative of -2/39*w**3 + 0*w**d + 1/130*w**5 + 0 - 7*w + 1/78*w**4. Factor b(j).
2*j*(j - 1)*(j + 2)/13
Let r(m) be the first derivative of 14*m**5/45 + 8*m**4/9 + 22*m**3/27 + 2*m**2/9 + 69. Let r(l) = 0. Calculate l.
-1, -2/7, 0
Suppose 2*v - 6 = -2*a, -814*a = -816*a - 5*v + 9. Factor 2/13*t**3 + 16/13 + 24/13*t + 12/13*t**a.
2*(t + 2)**3/13
Let s(a) be the third derivative of -a**9/15120 + a**8/1260 - a**7/420 - a**5/3 + 20*a**2. Let p(o) be the third derivative of s(o). Factor p(k).
-4*k*(k - 3)*(k - 1)
Let x be 12*4/(24/10). Let p = x - 17. Determine m so that p - 1 + m**2 - 3 = 0.
-1, 1
Let z be -1*(-1 + 0) + (-23 - -27). Let y be (-15)/(-10 + z) - 2/(-2). Find u such that 32/11*u**y + 16/11*u**3 - 126/11*u**2 - 8/11 - 64/11*u = 0.
-2, -1/4, 2
Suppose -2*j + 7*j = 20. Suppose -2*h = j - 8. Let -h + 2*o**2 - 6*o - 1 + 7 = 0. What is o?
1, 2
Let t(h) be the second derivative of h**5/150 - h**4/20 - h**2/2 - 10*h. Let w(p) be the first derivative of t(p). Factor w(j).
2*j*(j - 3)/5
Let c(v) = -22*v**2 - 274*v - 1462. Let k(q) = -7*q**2 - 91*q - 487. Let s(m) = -3*c(m) + 10*k(m). Solve s(t) = 0 for t.
-11
Suppose 0*a = a. Suppose 0*n - 3*n = -5*y - 41, -4*n + 4*y + 52 = a. Solve -95*q**2 - 80*q + 10*q**2 - n*q**3 - 13*q**3 - 20 = 0 for q.
-2, -1, -2/5
Let s(k) = 1754*k - 12275. Let n be s(7). Determine d, given that -5/3*d**4 + 4/3*d**2 + 4/3*d**n + 0*d - d**5 + 0 = 0.
-2, -2/3, 0, 1
Let g = -513/10 + 259/5. Determine i so that g - 1/2*i + 1/2*i**3 - 1/2*i**2 = 0.
-1, 1
Let 3*j**2 - 11*j - 2*j**4 + 7*j**4 - 45*j**3 - 8*j**4 + 16*j + 40*j = 0. Calculate j.
-15, -1, 0, 1
Let q(a) be the first derivative of 7*a + 0*a**4 + 1/15*a**6 + 0*a**3 + 3/10*a**5 - 6 + 0*a**2. Let o(g) be the first derivative of q(g). Factor o(k).
2*k**3*(k + 3)
Let t(u) be the second derivative of 9*u + 2 + 0*u**4 + 0*u**3 - 21/20*u**5 + 0*u**2 + 1/10*u**6. Factor t(f).
3*f**3*(f - 7)
Let q = 227 + -224. Suppose -6 = q*w + 3*o, o - 5*o = 2*w + 8. Factor -1/4*i**3 + 3/4*i**2 + 0*i + w.
-i**2*(i - 3)/4
Suppose 2*a = 3*l + 2, -2*l + l = a - 11. Let h be 14/a*(1 + 0). Determine i so that -1/2*i**2 - h + 2*i = 0.
2
Factor 32/3*k - 7/3*k**3 + 32/3 - 1/3*k**4 - 2*k**2.
-(k - 2)*(k + 1)*(k + 4)**2/3
Suppose -h + x + 48 = 0, -x - 96 = h - 3*h. Let c be 3/1*(-6)/(-9). Find m such that -6*m**4 + 25*m**c - h*m**2 - 8*m**3 + 19*m**2 + 2*m**4 = 0.
-1, 0
Let a(t) be the second derivative of -t**7/2940 - t**6/180 - t**5/70 - 10*t**3/3 + 12*t. Let n(d) be the second derivative of a(d). Suppose n(b) = 0. What is