What is h?
-1, 2
Suppose -3/4*p**3 - 9/4*p**2 + 0*p + 3 = 0. What is p?
-2, 1
Suppose 0*q + 2*q = 5*j - 2, 3*j - q - 2 = 0. Factor -v**4 + 0*v + 0 - 4/5*v**j - 8/5*v**3 - 1/5*v**5.
-v**2*(v + 1)*(v + 2)**2/5
Let k(m) be the first derivative of -m**7/84 + 3*m - 2. Let w(v) be the first derivative of k(v). Factor w(o).
-o**5/2
Let j be 15/(-6)*(-3)/30. Factor j*d + 1/4*d**3 + 0 + 1/2*d**2.
d*(d + 1)**2/4
Let m(u) = 7*u**5 - 2*u**4 + 5*u**3 + 5. Let j(f) be the first derivative of 4*f**6/3 - 2*f**5/5 + 3*f**4/2 + 6*f - 4. Let l(o) = 5*j(o) - 6*m(o). Factor l(g).
-2*g**4*(g - 1)
Suppose v = -2*h + 1, 0*v - 5 = -h + v. Suppose -3*m + h + 1 = 0, -3*b + 4*m - 1 = 0. Factor -4*c**3 + 3 + 0*c - 2*c**4 - b + 4*c.
-2*(c - 1)*(c + 1)**3
Let m(v) = 2*v**2 + 17*v + 23. Let l be m(-7). Factor 1/3 - 1/3*d**l + 0*d.
-(d - 1)*(d + 1)/3
Let x(g) = -g**3 + 6*g**2 - 2*g - 5. Let s be x(3). Suppose 4*f + s = -a, -4*a = f - 2*f - 21. Let 4/5 - 2*k + 2/5*k**3 + 6/5*k**2 - 2/5*k**a = 0. What is k?
-2, 1
Let v(z) be the third derivative of -4*z**2 + 0*z**4 + 1/6*z**3 + 0 - 1/60*z**5 + 0*z. Let v(k) = 0. Calculate k.
-1, 1
Let k = -288 - -292. Determine m so that -5/3*m**2 - 2/3*m + 0 - 4/3*m**3 - 1/3*m**k = 0.
-2, -1, 0
Let o(a) be the first derivative of 2*a**5/45 - 2*a**3/27 + 11. Factor o(d).
2*d**2*(d - 1)*(d + 1)/9
Let a(x) = -x + 1. Let s(c) = 2*c**2 + 14*c - 4. Let w(o) = 4*a(o) + s(o). What is n in w(n) = 0?
-5, 0
Let -2 + 0 - 3 + 3 + 3*t - t**3 = 0. What is t?
-2, 1
Let j(w) = 13*w**3 + 25*w**2 + 12*w + 4. Let r(s) = 27*s**3 + 51*s**2 + 23*s + 8. Let d(p) = 9*j(p) - 4*r(p). Factor d(h).
(h + 1)*(3*h + 2)**2
Let s(u) be the second derivative of u**8/1680 - u**6/360 + 5*u**3/6 - 10*u. Let i(t) be the second derivative of s(t). Suppose i(j) = 0. Calculate j.
-1, 0, 1
Let o(z) = 29*z**3 - 45*z**2 + 16*z + 7. Let j(v) = -19*v**3 + 30*v**2 - 11*v - 5. Let a(r) = -7*j(r) - 5*o(r). Solve a(g) = 0.
0, 1/4, 1
Let n(y) be the third derivative of -y**5/300 - y**4/15 - 7*y**3/30 + 52*y**2. Factor n(j).
-(j + 1)*(j + 7)/5
Let j = -47 - -47. Let y(w) be the third derivative of j + 1/16*w**4 + 3*w**2 + 1/12*w**3 + 1/40*w**5 + 0*w + 1/240*w**6. Find i such that y(i) = 0.
-1
Factor 3/5*s**2 - 3/5*s - 1/5*s**3 + 1/5.
-(s - 1)**3/5
Suppose -2*j = -8, 1 = 2*p + 4*j - 13. Let i be (p/1)/(6/(-12)). Factor -1/2*n**3 + 0 + 0*n**4 + 1/4*n**5 + 1/4*n + 0*n**i.
n*(n - 1)**2*(n + 1)**2/4
Suppose 4*l = p - 35, -6*p + 3*p - 5*l + 20 = 0. Let s = -13 + p. Factor -4/5*z + 0 + 2*z**3 + 6/5*z**s.
2*z*(z + 1)*(5*z - 2)/5
Let a(i) be the third derivative of 0*i + 1/735*i**7 + 1/210*i**6 - 2*i**2 + 4/21*i**3 - 1/21*i**4 - 1/70*i**5 + 0. Factor a(r).
2*(r - 1)**2*(r + 2)**2/7
Let j be ((-166)/(-348))/(14/(-21)). Let x = 1/29 - j. Let -x*s**3 + s**2 + s + 0 = 0. Calculate s.
-2/3, 0, 2
Let z = -7 - 3. Let o = z - -12. Factor 0 + 2/5*g**o + 0*g.
2*g**2/5
Suppose 18*v = 22*v - 12. Let u be 2*(-4)/(-2) + 1. Determine q, given that 18*q**2 + 2*q + u*q - v*q = 0.
-2/9, 0
Let a = -2010059/14715 - 2/2943. Let o = 137 + a. Factor -o*b**3 + 2/5*b**4 + 0 - 2/5*b**2 + 2/5*b.
2*b*(b - 1)**2*(b + 1)/5
Let r(a) = a**2 - 3*a. Let m be r(4). Factor -4*c - 3 + 4 + m*c**2 + 1 - 2*c.
2*(c - 1)*(2*c - 1)
Let m = 9 + -41. Let c = m + 34. Factor 2/3*t**c + 0*t**3 + 0 - 2/3*t**4 - 1/3*t + 1/3*t**5.
t*(t - 1)**3*(t + 1)/3
Solve 7/3*k**2 + 5/3*k**3 + 1/3*k**4 + 0 + k = 0.
-3, -1, 0
Let r be (-20)/(-5) + (34 - 2). Let v be 4/9 - (-8)/r. Factor v + 4/3*u + 2/3*u**2.
2*(u + 1)**2/3
What is w in -8*w + 19*w - 5*w - 3*w**2 + 0*w**2 = 0?
0, 2
Let v be (-10 - (-175)/20)/((-2)/2). Factor 1 - 2*b - v*b**2.
-(b + 2)*(5*b - 2)/4
Let m be (1 - 5/3)/(-12 + 10). Solve -m*h - 1/3*h**5 - 1/3 + 2/3*h**2 - 1/3*h**4 + 2/3*h**3 = 0.
-1, 1
Let b(u) = 4*u**2 - u + 2. Let p(h) be the first derivative of 2/3*h**3 - 1 + h + 0*h**2. Let m(i) = -3*b(i) + 7*p(i). Determine k, given that m(k) = 0.
-1, -1/2
What is h in -12*h**3 - 324/5*h + 216/5*h**2 + 162/5 + 6/5*h**4 = 0?
1, 3
Let b(r) be the first derivative of r**6/36 + r**5/15 + r**4/24 + 4. What is x in b(x) = 0?
-1, 0
Let d(c) be the second derivative of -c**7/5040 + c**5/240 - c**4/6 - c. Let f(m) be the third derivative of d(m). Find y, given that f(y) = 0.
-1, 1
Let z(g) be the second derivative of -g**5/240 + g**4/96 + g**3/12 - g**2 + g. Let y(u) be the first derivative of z(u). Factor y(f).
-(f - 2)*(f + 1)/4
Let u(j) be the first derivative of -3*j**5/20 + 9*j**4/8 - 13*j**3/4 + 9*j**2/2 - 3*j - 14. Solve u(i) = 0.
1, 2
Factor 1/4*v**3 + 1/2*v**4 + 0*v**2 + 1/4*v**5 + 0 + 0*v.
v**3*(v + 1)**2/4
Determine f so that -12/11 + 6/11*f**4 - 18/11*f + 18/11*f**3 + 6/11*f**2 = 0.
-2, -1, 1
Let h(o) = o**2 - 2*o + 2. Let k be h(3). Let m = k - 0. Factor -q**2 - 2*q**4 - 2*q - m*q**2 + 0*q**2 - 6*q**3.
-2*q*(q + 1)**3
Let b be 1 + 51/6 - 7. What is p in 0 + 25/4*p**3 + 1/4*p - b*p**2 = 0?
0, 1/5
Let o = 156 + -464/3. Let c(w) be the first derivative of -4/9*w**3 - 1/6*w**4 - 2 + o*w + 1/3*w**2. Factor c(m).
-2*(m - 1)*(m + 1)*(m + 2)/3
Let t(v) be the third derivative of -v**6/30 + 9*v**5/5 - 81*v**4/2 + 486*v**3 + 19*v**2. Determine l, given that t(l) = 0.
9
Determine y, given that 5/2*y + 1/2*y**5 - y**2 - 1/2*y**4 - 3*y**3 + 3/2 = 0.
-1, 1, 3
Let o = 4/575 + 2819/8050. Let p(s) be the first derivative of 6/7*s**3 - 2/5*s**5 - 5/7*s**2 + o*s**4 - 1 - 4/7*s. Solve p(n) = 0 for n.
-1, -2/7, 1
Let w = -15/11 - -179/99. Suppose 4 = b + 2*v, 1 = -3*b + 2*v + 13. Find y, given that 2/9*y**3 - w*y**2 + 0 + 2/9*y**b + 0*y = 0.
-2, 0, 1
Let x(q) be the third derivative of -3*q**2 + 0*q + 0*q**3 + 0*q**4 + 0 + 1/420*q**6 - 1/210*q**5. Factor x(l).
2*l**2*(l - 1)/7
Let z(b) be the third derivative of -b**8/784 + b**6/280 - 6*b**2. Suppose z(i) = 0. What is i?
-1, 0, 1
Suppose -22 = -5*q + 3. Suppose 1/4*z**q + 2*z - 1/4*z**2 + 1/4*z**4 - 5/4*z**3 - 1 = 0. Calculate z.
-2, 1
Solve 2/5*w + 0 + 2/5*w**4 - 2/5*w**3 - 2/5*w**2 = 0.
-1, 0, 1
Suppose -8*h + 6*h = 5*w - 18, 2*w - 2*h + 4 = 0. Let 1/4*s - 1/4*s**3 - 1/4*s**w + 1/4 = 0. Calculate s.
-1, 1
Let n(o) be the second derivative of -o**4/6 + 2*o**3/3 + 3*o**2 - 4*o. Factor n(c).
-2*(c - 3)*(c + 1)
Let i(t) be the first derivative of 2*t**3/9 + t**2 - 10. Suppose i(g) = 0. What is g?
-3, 0
Let b be 1 + (2 - 8)/(-3). Let y(g) be the first derivative of 2/25*g**5 + 0*g**4 + 2/5*g - 4/15*g**b - 2 + 0*g**2. Factor y(u).
2*(u - 1)**2*(u + 1)**2/5
Let j be (-3)/((-9)/6) - -2. Suppose -p - p + 3 - 3*p - j - 4*p**2 = 0. Calculate p.
-1, -1/4
Let z(m) = 4*m**2 - m. Let b be z(-1). Let g(d) be the third derivative of 0 + 0*d + d**2 - 1/3*d**3 + 7/12*d**4 - 49/120*d**b. Factor g(i).
-(7*i - 2)**2/2
Let o(r) = -19*r**5 + r**4 - 23*r**3 - 11*r**2 - 13. Let f(c) = 9*c**5 - c**4 + 11*c**3 + 5*c**2 + 6. Let j(m) = -13*f(m) - 6*o(m). Factor j(a).
-a**2*(a - 1)**2*(3*a - 1)
Let f be ((-18)/35)/((-3)/(-10)). Let y = f + 74/35. Factor y*x**2 + 2/5*x**3 + 0 + 0*x.
2*x**2*(x + 1)/5
Let r = -1 - -2. Let g be 1 - (1 - (1 + 1)). Let k**2 - r + g + 2*k + 0*k = 0. What is k?
-1
Let w(l) be the first derivative of -2*l**3/15 + 2*l**2/5 + 6*l/5 - 10. Find f such that w(f) = 0.
-1, 3
Let z = 27 - 27. Let h(g) be the second derivative of 0*g**2 + 0 - 2*g - 1/2*g**6 + 2/3*g**3 + z*g**4 - 19/20*g**5. Find l such that h(l) = 0.
-1, -2/3, 0, 2/5
Let n = 7188/4301 - 21/253. Let o = n + -3/34. Factor 3 - 3*m**2 - 3/2*m + o*m**3.
3*(m - 2)*(m - 1)*(m + 1)/2
Let l = 11 + -7. Factor -3*k**3 - l*k**2 + 4 + 2*k + 4*k**3 + 2*k**3 - 5*k**3.
-2*(k - 1)*(k + 1)*(k + 2)
Let f be (-3)/81*(-12)/4. Let w(z) be the first derivative of 1/6*z**2 + f*z**3 + 0*z - 2. Suppose w(m) = 0. What is m?
-1, 0
Let d(j) be the third derivative of 0*j**3 + 0*j + 3*j**2 - 1/24*j**4 - 1/30*j**5 + 0. Suppose d(s) = 0. What is s?
-1/2, 0
Let r(u) be the second derivative of 2*u**6/15 + 6*u**5/5 + 8*u**4/3 - 4*u**3 - 18*u**2 + 6*u. What is m in r(m) = 0?
-3, -1, 1
Let k = 24 + -21. Let b(s) be the first derivative of -2/9*s**3 + k + 1/3*s**2 + 4/3*s. Factor b(f).
-2*(f - 2)*(f + 1)/3
Let x(z) be the second derivative of -z**7/420 - 4*z**6/315 - 11*z**5/420 - z**4/42 + z**3/3 + z. Let p(u) be the second derivative of x(u). Factor p(b).
-2*(b + 1)**2*(7*b + 2)/7
Let j(g) = -3*g**4 + g**3 - g**2 + 3*g. Let l(x) = -4*x**4 + 2*