0 = 0 for m.
0, 1, 2
Suppose -5*m - 8 = 4*p, p - 1 = 4*m - 3. Let b be ((-1 + 1)/(-1))/p. Factor -2*h**4 - 8*h**3 - 2*h**2 + 3*h**3 + 4 - h**3 + b*h**2 + 6*h.
-2*(h - 1)*(h + 1)**2*(h + 2)
Let i be 9/24 - 1449/(-6440). Let -6/5*p**5 - 3*p**2 - i*p - 21/5*p**4 + 0 - 27/5*p**3 = 0. What is p?
-1, -1/2, 0
Let d(h) be the second derivative of h**6/45 - 2*h**5/15 - 5*h**4/18 - 88*h. Factor d(z).
2*z**2*(z - 5)*(z + 1)/3
Let r = 242 - 236. Let g(t) be the third derivative of 0 - 1/240*t**r + 1/12*t**3 + 0*t + 1/40*t**5 - 1/16*t**4 - 2*t**2. Factor g(u).
-(u - 1)**3/2
Suppose -n - 3*y - 9 = 0, 20*n = 17*n + 3*y + 21. Let t(k) be the second derivative of 25/36*k**4 + 5/9*k**n + 1/6*k**2 + 2*k + 0. Factor t(a).
(5*a + 1)**2/3
Let b(w) = -w**3 + 4*w**2 - 102*w + 99. Let j be b(1). Let -6/5*o + j - 2/5*o**2 = 0. What is o?
-3, 0
Find k, given that -5/6*k**3 - 34/3*k**2 + 94/3*k - 32/3 = 0.
-16, 2/5, 2
Solve 2/5*h**2 + 288/5 + 48/5*h = 0 for h.
-12
Let a(h) = -h**2 + 23*h + 26. Let s be a(24). Determine o, given that o**5 + 0*o**3 - o**4 - 2*o**3 - 112*o**2 + 112*o**s = 0.
-1, 0, 2
Suppose 2/13*v**2 - 2 + 24/13*v = 0. What is v?
-13, 1
Determine s, given that -56/3*s + 166/9 + 2/9*s**2 = 0.
1, 83
Factor -74*s**2 - 12*s + 3*s**3 + 14*s**2 + 17*s + 17*s + 35*s.
3*s*(s - 19)*(s - 1)
Let d(k) be the third derivative of 1/40*k**5 + 0*k - 1/112*k**8 - 13*k**2 + 0*k**3 - 3/140*k**7 + 0 + 0*k**4 + 0*k**6. Suppose d(b) = 0. Calculate b.
-1, 0, 1/2
Let n = -11 + 25. Let o = n - 12. Factor 4/7*u**3 + 0*u**o - 12/7*u + 8/7.
4*(u - 1)**2*(u + 2)/7
Let n be 9/((-54)/(-8))*(-18)/(-8). Let s(d) be the first derivative of 8/11*d + 3/11*d**4 + 26/33*d**n - 5 + 12/11*d**2 + 2/55*d**5. Factor s(i).
2*(i + 1)**2*(i + 2)**2/11
Let t(j) be the second derivative of 7*j**5/40 + 2*j**4/3 + j**3/3 + 35*j. Factor t(m).
m*(m + 2)*(7*m + 2)/2
Suppose -o - 720 = -707. Let q(c) = -3*c - 36. Let y be q(o). Solve 2/3*r**4 + 0*r - 2*r**2 + 0 + 4/3*r**y = 0.
-3, 0, 1
Let c(r) = r**3 + r**2 + r + 1. Let m(q) = q**4 + 2 + 0*q**3 + 8*q - 3*q**4 + 4*q**3 + 11*q**2 + q**2. Let o(f) = 12*c(f) - 2*m(f). Factor o(l).
4*(l - 1)**2*(l + 1)*(l + 2)
Let u be (-2)/(-5) + ((-234)/15)/(-6). Let d = 0 - -3. What is x in d*x**u + 0*x**3 + 0*x**4 + 0*x**4 + 3*x**4 = 0?
-1, 0
Let p = 19 + -5. Factor -4*m - m - 9*m + 8*m + p*m**2.
2*m*(7*m - 3)
Let g(u) = -2*u**3 - 38*u**2 - 148*u - 94. Let f(z) = -z**3 - 37*z**2 - 144*z - 93. Let d(h) = -6*f(h) + 5*g(h). Find m, given that d(m) = 0.
-2, -1, 11
Let x = 41/175 + -16/175. Factor -12/7*v + 36/7 + x*v**2.
(v - 6)**2/7
Let r(o) be the second derivative of -2*o**7/189 + 13*o**6/270 + o**5/180 - 13*o**4/108 + o**3/18 - 306*o. Determine b, given that r(b) = 0.
-1, 0, 1/4, 1, 3
Let q(y) = y**3 + 4*y**2 - 3. Let i be q(-3). Factor -3 - 3 - 2 - 2*r**2 + i - 4*r.
-2*(r + 1)**2
Let w(k) be the second derivative of -k**7/63 - k**6/45 + k**5/5 + 7*k**4/9 + 11*k**3/9 + k**2 - 123*k. Factor w(l).
-2*(l - 3)*(l + 1)**4/3
Let a(g) = g**3 - g**2 + 1. Let q(i) = 10*i**3 - 25*i**2 - 55*i - 25. Let k(v) = -5*a(v) + q(v). Suppose k(w) = 0. What is w?
-1, 6
Let b(t) = t**2 - 6*t - 5. Let u be b(7). Suppose h**4 - 4*h**3 - 3*h + h**5 + h**3 + 5*h - 2*h**4 + h**u = 0. What is h?
-1, 0, 1, 2
Let i(v) be the third derivative of -3*v**5/80 + 53*v**4/48 + v**3 + 160*v**2. Determine q, given that i(q) = 0.
-2/9, 12
Let m(t) = -402*t + 1611. Let j be m(4). Factor 6/11*s + 6/11*s**4 - 4/11*s**2 - 4/11*s**j - 2/11*s**5 - 2/11.
-2*(s - 1)**4*(s + 1)/11
Let o = 17 + -5. Let t be ((-1)/(-2))/(2/o). Factor -4*l**2 + t*l**2 + 2*l - l**2.
-2*l*(l - 1)
Let h(u) be the third derivative of -4*u**7/945 - u**6/30 - 11*u**5/135 + 8*u**3/27 + 71*u**2. Let h(z) = 0. What is z?
-2, -1, 1/2
Let d(n) = -n**3 + 3*n**2 + 1. Let y(l) = -2*l**3 - 5*l**2 - 13*l - 5. Let f(k) = 4*d(k) - 4*y(k). Let f(t) = 0. Calculate t.
-6, -1
Let i be -1 - 14*(-6)/20. Let w(r) = 180*r + 1262. Let u be w(-7). Solve -8/5*a - 1/5*a**u - i = 0 for a.
-4
Let u be (-19 - -19) + (1 - -11). Suppose 21*p - u = 18*p. Factor d**4 + 3*d**p + 0*d**4 - d**4 + 3*d**5.
3*d**4*(d + 1)
Determine j, given that 2/3*j**4 - 32/3*j**2 - 2/3*j**3 + 0 - 40/3*j = 0.
-2, 0, 5
Let l be (-166 - -156) + 104/10. Factor l*k - 1/5 - 1/5*k**2.
-(k - 1)**2/5
Let d be ((-7596)/378 + 22)/(10/28). Let 28/3*x**3 + 4/3*x**5 - 32/3*x + 20/3*x**4 - d - 4/3*x**2 = 0. Calculate x.
-2, -1, 1
Let s(x) be the first derivative of x**4/4 + 8*x**3/3 - 6*x**2 - 144*x - 49. Factor s(j).
(j - 4)*(j + 6)**2
Let r(c) be the third derivative of c**7/105 + 29*c**6/60 + 53*c**5/30 - 29*c**4/12 - 18*c**3 + 513*c**2. Let r(x) = 0. Calculate x.
-27, -2, -1, 1
Let o be (3 + -2)*5*(14 + -13). Let v(f) be the second derivative of -4/9*f**2 - 5*f + 0 + 1/90*f**o - 5/54*f**4 + 8/27*f**3. Factor v(p).
2*(p - 2)**2*(p - 1)/9
Let q be ((-3855)/(-39))/5 + -19. Find d, given that -q*d**2 + 2/13*d**4 + 2/13*d**3 + 6/13*d + 0 = 0.
-3, 0, 1
Suppose 0*q - 3 = -q. Let y be (-1)/q*(-1620)/48. Determine o so that 9/4*o**4 + 27/4*o + 33/4*o**3 + 3/2 + y*o**2 = 0.
-1, -2/3
Factor 128/9 + 2/9*m**2 - 130/9*m.
2*(m - 64)*(m - 1)/9
Let a(r) = r - 3*r + r + 7*r**2 + 4*r + 13. Let q(d) be the first derivative of 8*d**3/3 + d**2 + 14*d + 7. Let j(l) = -6*a(l) + 5*q(l). Factor j(n).
-2*(n + 2)**2
Let y(t) = t**2 + 6*t + 2*t - t - 6. Let a be y(-8). Suppose 3 - 3 + c**a - 1 = 0. Calculate c.
-1, 1
Let u(h) = -h**2 + 18*h + 23. Let s be u(19). Determine r so that r**2 - 326*r**3 + 0*r**2 + 331*r**3 + 5*r**s - 6*r**2 - 5*r = 0.
-1, 0, 1
Let -97/3*p**2 - 70/3*p**3 + 0 - 6*p + 3*p**4 = 0. Calculate p.
-1, -2/9, 0, 9
Let p be (-24)/(-4) + -2 + -2. Factor -64 + 5776*g**p + 4*g**4 + 64*g - 5776*g**2 - 16*g**3.
4*(g - 2)**3*(g + 2)
Let u(t) be the second derivative of t**7/525 + t**6/300 - t**5/150 - t**4/60 + 21*t**2/2 - 11*t. Let k(w) be the first derivative of u(w). Factor k(v).
2*v*(v - 1)*(v + 1)**2/5
Let y(x) = x**3 + 2*x**2 - 9*x - 10. Let p be y(-6). Let o be (-1)/5*p/30. What is i in -o*i**3 + 1/3*i + 1/3*i**5 + 0 + 0*i**2 + 0*i**4 = 0?
-1, 0, 1
Solve 63*z**4 - 4*z**5 - 100*z**3 - 244 - 246 - 7*z**4 + 490 + 48*z**2 = 0 for z.
0, 1, 12
Let h(l) be the first derivative of l**5/75 - l**4/6 - 4*l**3/5 - 18*l**2 - 28. Let n(x) be the second derivative of h(x). Suppose n(t) = 0. Calculate t.
-1, 6
Let m(v) = v**2 + 5*v - 8. Let n be m(-7). Suppose n*k - 2*k - 8 = 0. Find o such that -1 + 112*o + o**2 - 110*o - 2*o**k = 0.
1
Let g be ((-42)/4)/(-3) + 3/(-108)*-18. Factor 2/7*w**g + 0 - 2/7*w**2 + 8/7*w**3 - 8/7*w.
2*w*(w - 1)*(w + 1)*(w + 4)/7
Factor 2/11*x**3 - 2/11*x - 34/11*x**2 + 34/11.
2*(x - 17)*(x - 1)*(x + 1)/11
Let d = 2783/2 - 1391. What is h in 0 - 9/4*h**2 + 7/4*h**3 + d*h = 0?
0, 2/7, 1
Suppose 1 = 3*v + 3*m + 2*m, 0 = m + 1. What is l in l**3 - 3*l**3 - 4*l**v + 5*l**2 + l**2 = 0?
0, 1
Suppose 0 - 2/5*h**5 + 0*h**2 + 16/5*h**3 + 0*h**4 - 32/5*h = 0. What is h?
-2, 0, 2
Let t(q) be the first derivative of 1/10*q**4 + 108/5*q**2 - 432/5*q + 54 - 12/5*q**3. Suppose t(m) = 0. What is m?
6
Factor -4*m**2 - 5*m**4 + 13*m**2 + 11*m**2 + 0*m**2 - 15*m**3.
-5*m**2*(m - 1)*(m + 4)
Let u = 2043 + -2043. Let w(z) be the second derivative of 0 + 0*z**3 - 7*z - 1/100*z**5 + u*z**2 - 1/60*z**4. Factor w(l).
-l**2*(l + 1)/5
Let h = 276 - 276. Suppose 5*o - 2*o + 4*i + 16 = 0, -o + 5*i + 20 = h. Solve 0*u - 4/3*u**2 + 10/3*u**3 + o = 0.
0, 2/5
Let g(h) be the second derivative of h**5/130 - h**4/13 + 3*h**3/13 - 4*h**2/13 - 23*h - 3. Find o such that g(o) = 0.
1, 4
Suppose 59*z - 106 + 10 = 140. Solve 0 + 1/2*n - 7/2*n**2 + 2*n**5 - 13/2*n**z + 15/2*n**3 = 0 for n.
0, 1/4, 1
Let v(x) be the first derivative of 2*x**6 + 477*x**5/5 + 1170*x**4 - 400*x**3 - 95. Factor v(l).
3*l**2*(l + 20)**2*(4*l - 1)
Suppose -i + 2*i + 33 = o, -2*o + 58 = 2*i. Suppose 2*k = -2*c + 3*c - 9, 5*c = 3*k + o. Suppose 6*f + 5*f**2 - c*f**2 + 1 + 9*f**2 = 0. What is f?
-1/3
Let p(q) be the first derivative of -q**4/2 + 8*q**3/3 + q**2 - 8*q - 430. Factor p(t).
-2*(t - 4)*(t - 1)*(t + 1)
Let q(i) be the third derivative of 55/6*i**3 + 0*i - 1/12*i**5 + 0 + 33*i**2 + 25/12*i**4. Factor q(x).
-5*(x - 11)*(x + 1)
Let l(a) be the first derivative of a**6/120 - a**5/40 - a**4/4 + 14*a**3/3 - 21. Let p(m) be the third derivative of l(m). What is s in p(s