 0 = 0. Calculate s.
0, 99
Let 0 - 8/9*c**4 + 8/9*c - 2/9*c**5 + 8/9*c**2 - 2/3*c**3 = 0. What is c?
-2, -1, 0, 1
Suppose -11198*k - 4*k**3 - 16*k**2 + 0*k**3 + 11218*k = 0. Calculate k.
-5, 0, 1
Let h be (-462)/(-308) + 14/(-12). Suppose -p**3 + 1/3*p**5 + h*p + 0 + 1/6*p**4 + 1/6*p**2 = 0. What is p?
-2, -1/2, 0, 1
Let p(l) = l - 1. Let v be p(6). Suppose 16 = -2*i - 5*c + 5, 3*c = -v*i + 1. Find q such that q**i - 10 + 4 - 2*q + 7 = 0.
1
Let x(u) be the first derivative of -4/7*u**2 + 7*u + 1 - 4/21*u**3 - 1/42*u**4. Let a(r) be the first derivative of x(r). Find d, given that a(d) = 0.
-2
Let w(p) be the third derivative of -5/72*p**4 + 1/45*p**5 - 44*p**2 - 1/360*p**6 + 0 + 0*p + 1/9*p**3. Find s, given that w(s) = 0.
1, 2
Let f(a) be the second derivative of -a**8/784 - a**7/490 + a**6/280 + a**5/140 + 19*a**2/2 - 24*a. Let q(s) be the first derivative of f(s). Factor q(h).
-3*h**2*(h - 1)*(h + 1)**2/7
Suppose -x + 20 = -o + 4*x, -5*o + 20 = -x. Factor -o + 2*n**2 + 17 + 11*n - 9*n + 8*n.
2*(n + 2)*(n + 3)
Let c(s) be the second derivative of -s**5/30 + s**4/18 + 7*s**3/3 - 15*s**2 + 318*s. Factor c(l).
-2*(l - 3)**2*(l + 5)/3
Let k be ((2 - 3) + 3)*2. Suppose -k*p**5 + 3*p**5 - 4*p**4 + 5*p**5 = 0. Calculate p.
0, 1
Let q(o) = 90*o**2 + 250*o - 65. Let d(l) = -45*l**2 - 125*l + 32. Let m(j) = -5*d(j) - 2*q(j). Solve m(k) = 0.
-3, 2/9
Suppose 2*f**2 + 2*f**2 - 3*f**3 + 5*f**4 - 12*f**4 = 0. What is f?
-1, 0, 4/7
Let r = -110 + 115. Let m(k) be the third derivative of 0*k - 1/72*k**4 + 0 - 1/630*k**7 + 1/360*k**6 + 1/180*k**r + k**2 + 0*k**3. Find x, given that m(x) = 0.
-1, 0, 1
Let z(g) be the first derivative of g**6/21 - 2*g**5/7 + 5*g**4/7 - 20*g**3/21 + 5*g**2/7 - 2*g/7 + 135. Let z(a) = 0. Calculate a.
1
Let a(w) be the third derivative of w**5/54 - w**4/54 - w**3/9 + 23*w**2 - 2. Suppose a(d) = 0. Calculate d.
-3/5, 1
Factor 13*c + 4*c**3 - 5 + 52*c**2 + 24*c + 89*c + 149 + 34*c.
4*(c + 2)**2*(c + 9)
Let b(u) = u**3 - 5*u**2 - 5*u + 8. Let a be b(6). Let -3 + a*f**4 - 20*f**3 + 3 - 9*f**4 + 20*f**2 = 0. Calculate f.
0, 2
Let u(s) be the third derivative of 1/105*s**5 + 0*s - 8*s**2 - 1/21*s**3 + 0*s**6 + 0*s**4 - 1/735*s**7 + 0. Factor u(p).
-2*(p - 1)**2*(p + 1)**2/7
Let l(o) = o**3 - 137*o**2 + 128*o + 1092. Let n be l(136). Factor 0*p**3 + 0 + 0*p - 5/4*p**n + 0*p**2.
-5*p**4/4
Suppose 3*d + 0*v + 2*v = 42, 5*d + 2*v = 74. Suppose d + 19 = 5*c. Factor -8*b**2 - b + b**3 - c*b**2 + b**4 + 14*b**2.
b*(b - 1)*(b + 1)**2
Let q(l) be the second derivative of -l**5/20 - l**4/12 + l**3/3 + 10*l. Let c(j) = -4*j**3 - 4*j**2 + 7*j. Let s(w) = -2*c(w) + 7*q(w). Factor s(x).
x**2*(x + 1)
Let y = -87217/9 + 9691. Factor 50/3*u + 250/9 + 10/3*u**2 + y*u**3.
2*(u + 5)**3/9
Let v be -158*1/(-44) + (-2)/1. Let g = v - 12/11. Factor 1/4*o + 1/4*o**3 + 0 + g*o**2.
o*(o + 1)**2/4
Let a(o) = -3*o**2 + 55*o - 90. Let n(s) = -2*s**2 + 55*s - 90. Let k(c) = 3*a(c) - 2*n(c). Factor k(g).
-5*(g - 9)*(g - 2)
Let w(g) be the third derivative of -g**8/70560 + g**7/8820 - g**6/2520 - 11*g**5/60 + 15*g**2. Let h(k) be the third derivative of w(k). Factor h(d).
-2*(d - 1)**2/7
Solve 0 + 1/3*g**3 + 0*g - 7/3*g**2 = 0.
0, 7
Let s(q) be the first derivative of 0*q**3 - 1/5*q**4 + 0*q + 0*q**2 + 14 - 4/25*q**5. Factor s(o).
-4*o**3*(o + 1)/5
Let r(w) = 240*w**2 + 61*w + 115*w + 12 - 28*w**2 + 272*w**2. Let k(j) = -1. Let b(d) = -4*k(d) + r(d). Factor b(t).
4*(11*t + 2)**2
Suppose 0 = -4*i - 4, -5*f + 19 = -0*f + i. Factor k - 4 + 7*k - 3*k**3 + 16*k**2 - 4*k**f - 8 - 5*k**3.
-4*(k - 1)**2*(k + 1)*(k + 3)
Let k = 938/3 - 312. Let j(o) be the first derivative of -1/2*o**4 + 0*o - 4/5*o**5 + 0*o**2 + 4 + k*o**3. Factor j(n).
-2*n**2*(n + 1)*(2*n - 1)
Determine g, given that 33/2*g**3 + 141*g - 63 - 375/4*g**2 - 3/4*g**4 = 0.
1, 6, 14
Factor 96 + 4*k**4 - k**4 + 13*k**2 + 24*k - 49*k**2 + 0*k**4 - 6*k**3.
3*(k - 4)*(k - 2)*(k + 2)**2
Let w = -9/26 - -11/13. Let l(j) be the third derivative of -w*j**3 + 1/12*j**4 + 1/60*j**5 - 7*j**2 + 0 + 0*j. Factor l(r).
(r - 1)*(r + 3)
Suppose 21 = 4*m - 3. Suppose 5*s + m = 8*s. Factor 10*y**3 + 3*y**s - 7*y**3 + 0 + 0.
3*y**2*(y + 1)
Let q(h) = h**2 - 31*h + 30. Let w(y) = y**2 - 16*y + 15. Let t(f) = -7*f + 37. Let u be t(6). Let p(m) = u*w(m) + 2*q(m). Factor p(r).
-3*(r - 5)*(r - 1)
Let c be 504/49*105/(-6). Let j be (-36)/c*(5 - (-2 + 2)). Find f, given that j + 3/2*f + 1/2*f**2 = 0.
-2, -1
Let b = 3069 + -3069. Factor -8/5*z**2 - 8/5*z**3 + 0*z + b - 2/5*z**4.
-2*z**2*(z + 2)**2/5
Factor -41*g**2 + 46 - 34*g**2 + 78*g**2 - 39*g - 10.
3*(g - 12)*(g - 1)
Let s(x) be the second derivative of x**7/504 + x**6/60 + 7*x**5/120 + x**4/9 + x**3/8 + x**2/12 - 13*x + 2. Find a such that s(a) = 0.
-2, -1
Let b(o) be the third derivative of -1/780*o**6 + 0*o + 1/156*o**4 + 1/390*o**5 + 0 + 0*o**3 - 1/1365*o**7 - 30*o**2. Factor b(i).
-2*i*(i - 1)*(i + 1)**2/13
Let i(o) = 2*o**2 + 72*o + 137. Let c(q) = q**2 + 48*q + 91. Let y = -603 + 382. Let j be 4/6 + y/(-51). Let t(p) = j*i(p) - 7*c(p). Factor t(u).
3*(u + 4)**2
Suppose 0 = 4*f - 3*f + 15. Let y be 2/(-1) + -1 - f. Factor -3*c + c**3 - 11*c + y*c - c**2.
c*(c - 2)*(c + 1)
Let n(p) be the second derivative of p**5 - 65*p**4/24 + 5*p**3/6 + 15*p**2/2 + 30*p. Let i(k) be the first derivative of n(k). Solve i(g) = 0.
1/12, 1
Let l = 365/238 - 4/119. Let p(z) be the second derivative of 0*z**5 - 1/2*z**4 + 0 + 2*z + l*z**2 + 1/10*z**6 + 0*z**3. Find x, given that p(x) = 0.
-1, 1
Let r(o) = 20*o**2 + 3*o + 36. Let k(f) = 2*f**2 - f + 2. Let q(l) = 18*k(l) - 2*r(l). Factor q(n).
-4*(n + 3)**2
Suppose -5*b + 4*b + 2 = 0. Let u be (-8)/42*3/(-2). Factor -u + 8/7*r**b - 6/7*r.
2*(r - 1)*(4*r + 1)/7
Let q = -1/2460 - -8747/820. Let 0 - 56/3*o**3 + 4/3*o**4 + q*o - 16/3*o**2 + 4*o**5 = 0. Calculate o.
-2, -1, 0, 2/3, 2
Suppose -m - m = -8. Suppose 0 = 3*r - 14 + 5. Factor 2*g**2 - g - m*g - g**r + 4*g.
-g*(g - 1)**2
Suppose -12 = 36*r - 38*r + 2*v, -3*v = r + 10. Solve 1/2*j**3 - 1 + j**r - 1/2*j = 0 for j.
-2, -1, 1
Let l be 380/(-105) + 4 + 20/70. Factor -2/3 + l*t**2 + 0*t.
2*(t - 1)*(t + 1)/3
Let x(g) be the third derivative of -g**8/336 - g**7/315 + 7*g**6/120 + 8*g**5/45 + g**4/6 - 103*g**2. Let x(u) = 0. What is u?
-2, -1, -2/3, 0, 3
Let x(l) be the first derivative of 55/2*l**2 - 13 + 35/3*l**3 + 20*l. Factor x(c).
5*(c + 1)*(7*c + 4)
Let z(q) = -15*q**4 - 40*q**3 - 35*q**2 - 10. Let d(i) = -2*i**4 - i**3 - i**2 - 2. Let v(g) = 5*d(g) - z(g). Suppose v(u) = 0. What is u?
-6, -1, 0
Let l(h) = 5*h**2 + h - 98. Let z(y) = y**2 - 20. Let i(u) = -6*l(u) + 33*z(u). Determine s so that i(s) = 0.
-4, 6
Let d(t) be the first derivative of t**5/100 + t**4/60 - t**3/30 - t**2/10 - 7*t - 11. Let z(s) be the first derivative of d(s). Factor z(i).
(i - 1)*(i + 1)**2/5
Let f be ((-27)/(-2) - 13)*4/1. Find v such that 2/3*v**3 + 0*v - 2/3*v**f + 0 = 0.
0, 1
Let x(j) be the first derivative of 3*j**5/10 + 3*j**4/4 - j**3/2 - 3*j**2/2 - 27. Factor x(r).
3*r*(r - 1)*(r + 1)*(r + 2)/2
Suppose 9*v + 41 = 41. Factor 2/7*z - 1/7*z**2 + v.
-z*(z - 2)/7
Let m(v) be the third derivative of -v**6/40 + 9*v**5/5 - 33*v**4/2 + 64*v**3 + 2*v**2 - 72. What is u in m(u) = 0?
2, 32
Let r = 3517/2 - 1758. What is x in -1/2 + 1/2*x**2 - r*x + 1/2*x**3 = 0?
-1, 1
Let u = -114 - -117. Determine p so that -2*p**2 + 13*p**3 - 164*p + 3*p**2 - 4*p**4 + 151*p + u = 0.
-1, 1/4, 1, 3
Let s = 8473/4 + -2117. Let c = 4/19 + 41/76. Factor -1/2 - c*t**2 + s*t.
-(t - 1)*(3*t - 2)/4
Factor -8*k**2 + 93 - 27 + 16*k**2 - 11*k**2 + 11*k + 16*k.
-3*(k - 11)*(k + 2)
Let a = -10 - -18. Suppose -2*s = -c + a + 15, 5*s = c - 38. Factor -2 + c*z**3 - 2*z + 4*z**2 - 8*z**3 - 1 - 3*z**3 - z**4.
-(z - 3)*(z - 1)*(z + 1)**2
Let n be 2 + 2/(0 - -1). Factor 9 + 60*o - 46*o**2 + 12*o**3 - 34 - 33*o**4 - 36*o**n + 68*o**4.
-(o - 5)**2*(o - 1)**2
Suppose -2*y = 8*y - 20. Let h(a) be the second derivative of 4*a**y + 0 - 2*a**3 + 7*a + 1/3*a**4. Determine j so that h(j) = 0.
1, 2
Let m(t) = -t**3 - 5*t**2 - 4*t - 14. Let g be m(-5). Factor g*h - 82*h**3 - 3*h**2 - 90*h**3 + 169*h**3.
-3*h*(h - 1)*(h + 2)
Let d(g) be the second derivative of g**5/25 + 46*g**4/15 + 344*g**3/15 + 336*g**2/5 - 338*g. Determine z, given that d(z) = 0.
-42, -2
Let q(a) b