(p + 1)/8
Suppose -59 + 9 = 5*h. Let v = h + 41/4. Let 1/4*k**3 + 0*k + 0 + v*k**5 + 0*k**2 + 1/2*k**4 = 0. Calculate k.
-1, 0
Suppose -6*u - 4*u**4 + 3*u - 8*u + 3*u - 16*u**3 - 20*u**2 = 0. What is u?
-2, -1, 0
Solve 1/10*a**2 + 3/10*a**4 + 1/10*a**5 + 0 + 3/10*a**3 + 0*a = 0.
-1, 0
Let h be ((-2)/5)/(((-441)/35)/9). Let v(l) be the first derivative of 0*l + 3/14*l**4 - 2 - h*l**2 - 2/21*l**3. Find j such that v(j) = 0.
-2/3, 0, 1
Find v such that 17*v**3 - 10*v**2 - 60*v**4 + 28*v**3 + 15*v**5 + 27*v**5 - 17*v**5 = 0.
0, 2/5, 1
Let f(p) = -p - 3. Let u be f(-7). Factor 0*i - u*i + i**2 + i.
i*(i - 3)
Let c = 1107/2210 + -1/1105. Determine k, given that c + 0*k**2 - k - 1/2*k**4 + k**3 = 0.
-1, 1
Let m(s) be the third derivative of s**9/8640 + s**8/5376 - s**7/5040 - s**4/24 - 2*s**2. Let h(v) be the second derivative of m(v). Let h(q) = 0. Calculate q.
-1, 0, 2/7
Let k(r) be the second derivative of r**5/20 - r**4/6 + r**3/6 + 5*r. Find d such that k(d) = 0.
0, 1
Let f = 244 - 728/3. Determine k so that -f*k - 2/3 - 5/6*k**4 + 4/3*k**3 + 3/2*k**2 = 0.
-1, -2/5, 1, 2
Let d(t) be the first derivative of 0*t + 7/5*t**5 + 2 - 2*t**2 - 23/4*t**4 + 20/3*t**3. Factor d(a).
a*(a - 2)*(a - 1)*(7*a - 2)
Solve 0 + 11/3*k**2 + 2/3*k + 19/3*k**3 + 13/3*k**4 + k**5 = 0 for k.
-2, -1, -1/3, 0
Let w be -1 - (-3)/21*68. Let v = 9 - w. Factor -2/7 - v*t**2 - 4/7*t.
-2*(t + 1)**2/7
Let a(u) be the third derivative of -u**7/840 - u**6/240 + u**4/48 + u**3/24 - 26*u**2. Find s, given that a(s) = 0.
-1, 1
Let p(w) = -w**2 - 4*w - 1. Let c be p(-3). Let r = 5 - c. Solve -u**r - u**2 + 1/2*u**5 + 1/2 + 1/2*u**4 + 1/2*u = 0 for u.
-1, 1
Let r(y) = -5*y**3 + 7*y**2 - 2*y. Let v(g) be the second derivative of -3*g**5/20 + g**4/3 - g**3/6 + 2*g. Let o(t) = 4*r(t) - 7*v(t). Factor o(a).
a*(a - 1)*(a + 1)
Suppose -3 = -4*h + 5. Find t such that 21*t**3 - 4*t**h + 7*t**2 - 20*t**3 + 2*t = 0.
-2, -1, 0
Let p = -88 - -124. Let w be 4/(p/15) - 1. Factor 2/3*v**3 + 2/3*v**4 + 0*v - 2/3*v**2 + 0 - w*v**5.
-2*v**2*(v - 1)**2*(v + 1)/3
Let g(f) be the first derivative of -3*f**5/10 - 3*f**4/2 - 3*f**3 - 3*f**2 - 3*f/2 + 1. Let g(u) = 0. Calculate u.
-1
Find w such that -8*w**2 + w**2 - 9*w - 15 - w + 12*w**2 = 0.
-1, 3
Let s(u) be the third derivative of u**7/7560 + u**6/2160 + u**4/8 - u**2. Let r(m) be the second derivative of s(m). Factor r(f).
f*(f + 1)/3
Let a(b) be the third derivative of b**8/168 - b**7/105 - b**6/20 + b**5/30 + b**4/6 + 11*b**2. Suppose a(x) = 0. Calculate x.
-1, 0, 1, 2
Suppose 0 = 3*k - 6*k. Let f be (0/4 - k)/(-1). Find i, given that 2/9*i**4 + 0*i**3 - 2/9*i**5 + 0 + f*i + 0*i**2 = 0.
0, 1
Let v(a) = a**2 + a. Let s(g) = 2*g**4 - 6*g**3 - 5*g**2 - 9*g. Let w be (-1)/(-2)*8 - 6. Let n(q) = w*s(q) - 18*v(q). Find d, given that n(d) = 0.
0, 1, 2
Let l = 12 - 8. Suppose 4*p**4 + 2*p**2 + 0*p - 2*p - 6*p**l + 2*p**3 = 0. What is p?
-1, 0, 1
Suppose -5*g = -4 - 11. Factor -12*k**2 - 3 + k + 11*k + 3*k**g + 3.
3*k*(k - 2)**2
Suppose -2/3*p - 2/3 + 2/3*p**3 + 2/3*p**2 = 0. Calculate p.
-1, 1
Let h(y) = -y**5 - y**2 - y + 1. Let b(x) = 9*x**5 - 9*x**4 + 6*x**3 + 12*x**2 - 3*x - 3. Let w(m) = -b(m) - 6*h(m). Suppose w(u) = 0. What is u?
-1, 1
Let x be (-5)/(5/3) - 1. Let u be -8*(1 + 5/x). Determine a so that 0 + 1/2*a**5 + 1/2*a - 2*a**4 + 3*a**3 - 2*a**u = 0.
0, 1
Let x(p) be the third derivative of 4*p**2 - 1/48*p**5 - 1/12*p**3 + 0*p + 0 - 7/96*p**4. Factor x(k).
-(k + 1)*(5*k + 2)/4
Let m(r) be the second derivative of 4*r + 0 + 1/5*r**3 - 1/10*r**4 - 1/5*r**2 + 1/50*r**5. Suppose m(j) = 0. Calculate j.
1
Factor 1/4*s**2 + 1/4*s + 0.
s*(s + 1)/4
Let -48*k - 36 + 25*k**2 - 12*k**2 + 2*k**2 + 9*k**3 = 0. Calculate k.
-3, -2/3, 2
Suppose 0*z + 4*z - 5*v - 846 = 0, 4*z - 848 = 4*v. Let b = -1924/9 + z. What is h in 4/9*h**4 + 0*h**2 - b*h**5 + 0*h + 0 - 2/9*h**3 = 0?
0, 1
Factor 15/4*u + 5/2 + 5/4*u**2.
5*(u + 1)*(u + 2)/4
Let r(s) be the first derivative of -s**7/105 + s**6/20 - s**5/10 + s**4/12 + s**2 + 3. Let a(u) be the second derivative of r(u). Factor a(i).
-2*i*(i - 1)**3
Factor 3*c**2 - 3*c**3 - 2*c**4 - 7*c**4 + 3*c + 7*c**4 - c**4.
-3*c*(c - 1)*(c + 1)**2
Suppose 0 = 2*y + 4 - 0. Let v be y/((-2)/12*4). Factor 0*f**2 - 1/3*f + 0*f**4 - 1/3*f**5 + 0 + 2/3*f**v.
-f*(f - 1)**2*(f + 1)**2/3
Let j = -13 - -5. Let g(d) = d**2 + 8*d + 2. Let b be g(j). Solve -6*s**3 + 2 - 1 + 2 - 9*s**b = 0 for s.
-1, 1/2
Let t(l) be the second derivative of -4*l + 0*l**3 + 0*l**2 - 1/120*l**6 - 1/48*l**4 - 1/40*l**5 + 0. Factor t(h).
-h**2*(h + 1)**2/4
Suppose 0 = 5*k - 0*h + 5*h + 140, 4*h + 16 = 0. Let c be k/(-36)*2/4. Find q such that 2/3 - q + c*q**2 = 0.
1, 2
Suppose -7 = -2*o + t, o + 2*t - 4 = -4*o. Determine h so that -h**o - 3 - 3*h**2 + 12*h - 5 = 0.
1, 2
Suppose -2*c + 94 = -5*f, -4*f - 95 = -0*f + 5*c. Let u be (-1)/(0 - f/(-8)). Determine r so that -8/5*r**3 + u*r**4 + 2/5 + 4/5*r + 4/5*r**5 - 4/5*r**2 = 0.
-1, -1/2, 1
Let p(w) be the first derivative of 0*w**2 + 0*w**3 - 2 - 1/6*w**4 - 2*w. Let i(k) be the first derivative of p(k). Factor i(m).
-2*m**2
Let n(c) be the second derivative of 0*c**2 + 0 - c**3 - 3*c + 1/8*c**4. Factor n(m).
3*m*(m - 4)/2
Let h = -5 + 14. Factor -180*n - 193*n**2 - h*n**2 - 24 - 248*n**2 - 375*n**3.
-3*(5*n + 2)**3
Suppose -4*a - 2*a = 114. Let x = a - -23. Factor 9/4*q**x + 0 + 0*q + 1/4*q**2 + 3/2*q**3.
q**2*(3*q + 1)**2/4
Suppose 0 = -2*o + 2, 5*o - 8 = 3*v - 0. Let l be 2/25*(-5)/v. Factor 0*y**4 + 0*y**2 + 0 + 4/5*y**3 - l*y - 2/5*y**5.
-2*y*(y - 1)**2*(y + 1)**2/5
Let o = -28 - -28. Suppose -2/9 + 2/9*l**2 + o*l = 0. What is l?
-1, 1
Let a = 124/3 + -41. Let b be -3 - ((-32)/6 - -2). Determine x, given that 0 - b*x**3 + 2/3*x + a*x**2 = 0.
-1, 0, 2
Let d(q) be the first derivative of q**4 - 4*q**3/3 - 10. Factor d(i).
4*i**2*(i - 1)
Let n(i) be the third derivative of i**8/1680 - i**6/360 + i**3/2 + 3*i**2. Let w(y) be the first derivative of n(y). Factor w(b).
b**2*(b - 1)*(b + 1)
Let j(v) = 9*v**3 - 3*v**2. Let g(a) = -8*a**3 + 4*a**2. Let p(r) = 6*g(r) + 5*j(r). Find x, given that p(x) = 0.
0, 3
Factor 11 + 8 - 14 + 15 - 4*y**2 - 16*y.
-4*(y - 1)*(y + 5)
Let k(p) be the first derivative of 2 - 1/48*p**4 - 1/24*p**3 + 1/80*p**5 + 2*p**2 + 0*p. Let c(s) be the second derivative of k(s). What is m in c(m) = 0?
-1/3, 1
Let w(a) = a**2 - 2. Let i be w(2). Suppose -t - t - 2*t**2 + 0*t - 3*t**i = 0. Calculate t.
-2/5, 0
Let w = -10 - -10. Let z(q) be the second derivative of -2*q + 1/6*q**4 + q**2 + 2/3*q**3 + w. Factor z(u).
2*(u + 1)**2
Suppose 3*q - 3*h = -q + 19, h + 13 = 3*q. Suppose -q*m + 8 = -y - 4, -y - 10 = -3*m. Factor 1/3*n - 2/3 + 1/3*n**m.
(n - 1)*(n + 2)/3
Let u(r) be the second derivative of -r**8/560 - r**7/70 - r**6/24 - r**5/20 - r**3/6 - 4*r. Let t(a) be the second derivative of u(a). Factor t(s).
-3*s*(s + 1)**2*(s + 2)
Let w(a) be the second derivative of -a**7/42 + a**6/30 + a**5/10 - a**4/6 - a**3/6 + a**2/2 - 2*a. Factor w(b).
-(b - 1)**3*(b + 1)**2
Let v be 39/12 - 2/8. Let t be (12/21)/(36/14). Determine d so that 0 - 2/9*d**v - t*d - 4/9*d**2 = 0.
-1, 0
Let a be (-3)/(-2) - (-4)/8. Factor -10 + 18 - 10*v + 8*v**3 - 12 + 8*v**4 - 4*v**2 + a*v**5.
2*(v - 1)*(v + 1)**3*(v + 2)
Let s(w) be the first derivative of w**3/9 - w**2/6 + 6. Factor s(a).
a*(a - 1)/3
Suppose 0*s = 3*s - 6. Factor 0 + 2 - 6*o**s + 3*o**4 + 1.
3*(o - 1)**2*(o + 1)**2
Let i(h) be the third derivative of -h**8/1512 + 8*h**7/945 + 7*h**6/90 + 34*h**5/135 + 47*h**4/108 + 4*h**3/9 + 52*h**2. What is b in i(b) = 0?
-1, 12
Let k(i) = -i + 23. Let x be k(0). Factor 4*a - 1 + 42*a**2 - 23*a**2 - x*a**2.
-(2*a - 1)**2
Let r(f) be the first derivative of -2*f**5/5 + 2*f**3 + 2*f**2 + 2. Factor r(p).
-2*p*(p - 2)*(p + 1)**2
Solve -25*o + 75*o**5 + 47*o**2 + 13*o**2 + 146*o**3 + 84*o**3 - 10 + 230*o**4 = 0 for o.
-1, -2/5, 1/3
Let w be (-69)/(-6) + 3/6. Suppose -w = -v - 0*v + 4*c, -2*v - 12 = 4*c. What is f in v*f + 4/11*f**2 - 2/11*f**3 + 0 = 0?
0, 2
Let z be 22/33 + (-523)/(-3). Let r = z + -339/2. What is i in 4*i - 15/2*i**3 - 2 + r*i**2 = 0?
-2/3, 2/5, 1
Let x be (-5)/15 + 4 + 1 + -4. Factor 0 + 2/3*o**3 + 4/3*o**2 + x*o.
2*o*(o + 1)**2/3
Suppose -13*h + g = -14*h - 4, -2*h - 3*g = 12. Suppose 3/2*y**2 + 3*y + h = 0. What is y?
-