 -1/3
Let x be (3 - 0)*2/21. Let 2/7*n + 0 + x*n**2 = 0. Calculate n.
-1, 0
Let w(b) be the second derivative of -b**3/6 - b**2/2 + 4*b. Let s(a) = 4*a**2 - 9*a - 7. Let m(r) = -s(r) + 3*w(r). Suppose m(x) = 0. Calculate x.
-1/2, 2
Let g(i) be the third derivative of -i**8/112 + 3*i**6/20 - 2*i**5/5 + 3*i**4/8 - 14*i**2. Factor g(c).
-3*c*(c - 1)**3*(c + 3)
Let z = 65/2 + -32. Factor 1/2*r**5 - 3/2*r**4 + 0*r - z*r**2 + 0 + 3/2*r**3.
r**2*(r - 1)**3/2
Let w be 0/(-4) + 0/4. Solve 8/9*i + w + 10/9*i**3 + 16/9*i**2 + 2/9*i**4 = 0 for i.
-2, -1, 0
Let s(i) be the third derivative of 0*i + 1/224*i**8 + 0*i**5 + 3*i**2 + 0*i**4 + 0 + 0*i**6 - 1/140*i**7 + 0*i**3. Factor s(d).
3*d**4*(d - 1)/2
Factor 50/13*b**2 + 8/13 - 32/13*b + 14/13*b**4 - 2/13*b**5 - 38/13*b**3.
-2*(b - 2)**2*(b - 1)**3/13
Let o = -7/90 + 1/9. Let v(t) be the first derivative of -2 - 1/20*t**4 - 1/25*t**5 + o*t**6 + 0*t + 0*t**2 + 1/15*t**3. Solve v(l) = 0 for l.
-1, 0, 1
Let y = -508 - -1525/3. Suppose -4/3*s**3 + y - 7/3*s**2 - 2/3*s = 0. Calculate s.
-1, 1/4
Let w = -2 - -4. Determine s, given that -w*s**2 + 1 - 3*s**4 + 6*s - 6*s + 4*s**4 = 0.
-1, 1
Let w(r) be the second derivative of 11/80*r**5 + 0 - 1/14*r**7 + 0*r**2 + 1/24*r**3 - 7/120*r**6 + 7/48*r**4 + r. Solve w(l) = 0.
-1, -1/3, -1/4, 0, 1
Let j(l) be the third derivative of -l**6/220 + l**5/165 + l**4/44 - 2*l**3/33 + 5*l**2. What is m in j(m) = 0?
-1, 2/3, 1
Let r(s) = -s**5 - s**2 - 1. Let k(y) = -12*y**5 + 12*y**4 + 4*y**3 - 28*y**2 - 8*y - 16. Let v(j) = k(j) - 16*r(j). Factor v(c).
4*c*(c - 1)*(c + 1)**2*(c + 2)
Let a(g) = -7*g**2 - 5. Let b(t) = 4*t**2 + 3. Let l(z) = 3*a(z) + 5*b(z). Factor l(d).
-d**2
Let d(z) be the second derivative of z**7/14 - z**6/10 - 3*z**5/20 + z**4/4 + 6*z. Let d(j) = 0. Calculate j.
-1, 0, 1
Let -4*u**4 - 4*u + 12*u**2 + 5*u**4 + 6*u**3 + 4*u + 8*u = 0. What is u?
-2, 0
Let b(i) be the first derivative of -4/9*i**3 - 5 + 2/3*i - 1/3*i**2. Factor b(x).
-2*(x + 1)*(2*x - 1)/3
Suppose -a - 3*d + 5*d - 12 = 0, 2*a + 3*d + 3 = 0. Let c = 4 - a. Suppose 6*u**3 - c*u**5 - 6*u**4 + u**3 - 3*u**3 = 0. Calculate u.
-1, 0, 2/5
Let r = 22 + -19. Suppose -2*b**2 + 0 + 2*b**r - 2/3*b**4 + 2/3*b = 0. What is b?
0, 1
Solve -63*y - 18 - 33*y**3 - y**4 + 3*y**4 - 30*y - 92*y**2 - 6*y**4 = 0 for y.
-3, -2, -1/4
Let w(b) be the second derivative of 0 + 0*b**4 - 1/105*b**6 + 1/7*b**2 + 1/35*b**5 - 2/21*b**3 - 3*b. Factor w(q).
-2*(q - 1)**3*(q + 1)/7
Solve 0 + 3*r**2 + 1/4*r**3 + 9*r = 0.
-6, 0
Factor 2*d - 1/2*d**3 - 1/4*d**4 + 0 + d**2.
-d*(d - 2)*(d + 2)**2/4
Solve -32/3 + 16/3*m - 2/3*m**2 = 0.
4
Let c be -13 - (3 - (4 + 0)). Let p be ((-20)/16)/(3/c). Solve 0 - 2/7*t**p - 6/7*t**3 + 6/7*t**4 + 2/7*t**2 + 0*t = 0.
0, 1
Let k(g) be the first derivative of -g**5/3 + 5*g**4/2 - 20*g**3/3 + 25*g**2/3 - 5*g - 8. Factor k(m).
-5*(m - 3)*(m - 1)**3/3
Let b(j) be the second derivative of j**5/270 + j**4/27 + 4*j**3/27 - j**2 + 2*j. Let a(v) be the first derivative of b(v). Factor a(g).
2*(g + 2)**2/9
Let o(s) be the first derivative of s**4/12 + 7*s**3/9 + 8*s**2/3 + 4*s + 26. Factor o(x).
(x + 2)**2*(x + 3)/3
Let l(b) = 8*b - 4 + 4 + 4 - b**2 - 7*b. Let s be l(0). Factor 0*m + 3/4*m**s + 3*m**2 + 3*m**3 + 0.
3*m**2*(m + 2)**2/4
Let l = 17809 + -89398/5. Let u = 71 + l. Let -2/5*r**3 - 2/5 + u*r + 2/5*r**2 = 0. What is r?
-1, 1
Let o = -65/308 - -11/28. Factor -o + 4/11*p - 2/11*p**2.
-2*(p - 1)**2/11
Suppose -3*n + 2 = 5*k, 2*n - 6 = n + k. Let m be (-8)/n - (-5 - -1). Factor i**2 - m - 3*i**2 - 4*i + 0*i**2.
-2*(i + 1)**2
Let j(m) = m**3 + 10*m**2 - 12*m - 9. Let a be j(-11). Let n(o) be the first derivative of 0*o**a + 0*o + 2 + 1/9*o**3. Factor n(q).
q**2/3
Let w = -332 - -332. Solve -4/3 + w*u + 1/3*u**2 = 0.
-2, 2
Suppose 3*k**2 - 3*k**4 - 644*k**3 - 2*k**4 + 4*k**4 + 646*k**3 = 0. What is k?
-1, 0, 3
Let g(k) be the third derivative of 0*k**4 + 0 + 0*k + k**2 + 0*k**3 - 1/60*k**5. Factor g(l).
-l**2
Let r(t) be the second derivative of -5*t**7/42 - t**6/6 + 9*t**5/4 + 15*t**4/4 + 17*t. Determine v, given that r(v) = 0.
-3, -1, 0, 3
Suppose -8 = -2*c, -3*c - 20 = -7*r + 3*r. Suppose 6*x - 4*x = r. Determine y so that -y**4 + 3*y**2 - y**x - y**2 = 0.
-1, 0, 1
Suppose -4*x + 16 = -6*x. Let j be x/(-3) - 4/6. Determine m so that 0*m**5 - m**3 + 3*m**5 - j*m**5 = 0.
-1, 0, 1
Let k(m) = -2*m**3 - m. Let l be k(-1). Let b be 3/(l*1/2). Factor 4*i**3 - 2*i**b - i**3 + i - 2*i**3.
i*(i - 1)**2
Suppose -2 = -2*v - 0*i - i, -6 = 3*i. Let m be 204/36 - 2/3. Factor 11*t**5 - 12*t**m + 3*t**4 - v*t**4.
-t**4*(t - 1)
Let z(m) = m - 7. Let b be z(10). Factor 7*v + 1 - 2*v**2 - b - v - 2.
-2*(v - 2)*(v - 1)
Let d = -543/5 + 109. Factor 0 - 1/5*u**3 - 1/5*u + d*u**2.
-u*(u - 1)**2/5
Let c(j) = j**5 + j**4 + j**3 - j + 1. Let d(x) = 148*x**5 + 40*x**4 - 60*x**3 - 16*x**2 - 4*x + 4. Let l(h) = 4*c(h) - d(h). Suppose l(v) = 0. Calculate v.
-2/3, -1/4, 0, 2/3
Suppose 7*o**2 + 330*o - 300*o - 2*o**2 - 35 = 0. Calculate o.
-7, 1
Suppose -15 - 18 = -4*p - 5*a, -2*a = -5*p. Suppose 0*c + 1/2*c**p - 1/2 = 0. What is c?
-1, 1
Let t be 16/28*(1 + 0). Let z(q) = -q**3 - 2*q**2 + 3. Let b be z(-2). Determine i, given that -2/7*i**4 - 8/7 + 6/7*i**2 - t*i**b + 8/7*i = 0.
-2, 1
Let b be 4/5 + (-42)/105. Let o be 2 - ((-4)/(-1))/(-2). Factor -b*z**o + 0 - 2/5*z**2 + 0*z - 4/5*z**3.
-2*z**2*(z + 1)**2/5
Let 7*a**2 + 2*a - 3*a**2 - 2*a - a**3 = 0. What is a?
0, 4
Let a = 1 + 6. Suppose -a*g + 12*g - 10 = 0. Factor 0 - 4/9*i + 2/9*i**g.
2*i*(i - 2)/9
Let a = 23 - 20. Find q such that 3*q**3 + 6 - a - 3 - 3*q = 0.
-1, 0, 1
Suppose -9 = -4*d + 3*u, 0*d - 12 = 3*d + 4*u. Let p(z) be the second derivative of 1/6*z**4 + d - 1/3*z**3 + 0*z**2 + 3*z. Factor p(j).
2*j*(j - 1)
Let d = -55/2 + 28. Let t(r) be the second derivative of d*r**2 + 0*r**3 - 1/12*r**4 + 0 - 3*r. Determine p so that t(p) = 0.
-1, 1
Let y(i) = i**3 + 3*i**2 - 5*i - 2. Let h be y(-4). Solve -2*l - 2*l**h - 4*l + l**2 + 4*l = 0 for l.
-2, 0
Let c(d) be the second derivative of -d + 0*d**2 + 2/33*d**3 + 1/33*d**6 + 9/110*d**5 + 7/66*d**4 + 1/231*d**7 + 0. Find r, given that c(r) = 0.
-2, -1, 0
Factor 2/3*g**2 + 0*g - 2/9*g**3 - 8/9.
-2*(g - 2)**2*(g + 1)/9
Let t(i) be the first derivative of 2*i**5/105 + 2*i**4/21 + 2*i**3/21 - 4*i**2/21 - 8*i/21 + 38. Determine v so that t(v) = 0.
-2, -1, 1
Let r(f) be the third derivative of 5*f**8/2016 - f**6/144 + 14*f**2. Find w such that r(w) = 0.
-1, 0, 1
Let j(u) be the first derivative of -2/3*u + 1/2*u**2 + 6 - 1/9*u**3. Suppose j(x) = 0. What is x?
1, 2
Suppose 0 = -3*f + 2*y - 16 + 30, 0 = 2*f - 3*y - 16. Let -2/5*b**3 - 4/5*b**f - 2/5*b + 0 = 0. What is b?
-1, 0
Let h = -27 + 27. Factor -1/2*f**2 + h + f.
-f*(f - 2)/2
Let m(v) be the second derivative of -v**5/15 - 4*v**4/3 - 32*v**3/3 + v**2/2 + 6*v. Let f(n) be the first derivative of m(n). Determine q so that f(q) = 0.
-4
Let b(s) be the second derivative of -1/7*s**7 - 2/3*s**3 - 11/15*s**6 - 3/2*s**4 + 0 - 3/2*s**5 + 3*s + 0*s**2. Factor b(c).
-2*c*(c + 1)**3*(3*c + 2)
Let v(j) be the first derivative of -j**4/5 - 4*j**3/15 - 7. Factor v(s).
-4*s**2*(s + 1)/5
Let u(c) be the first derivative of 2*c**3/15 + 3*c**2/5 + 4*c/5 + 6. Factor u(a).
2*(a + 1)*(a + 2)/5
Factor -10*x + 1 - 20*x**2 + 15*x**2 - 1.
-5*x*(x + 2)
Let w(x) = x**4 - 2*x**3 + 2*x**2 - 2*x. Let r(o) = -3*o**4 + 6*o**3 - 7*o**2 + 7*o. Let p(z) = -4*r(z) - 14*w(z). Factor p(s).
-2*s**3*(s - 2)
Let f = 3673/18 + -204. Let v(u) be the second derivative of -f*u**4 + 0 + 1/45*u**6 + 0*u**2 + 1/9*u**3 - 2*u - 1/30*u**5. Factor v(r).
2*r*(r - 1)**2*(r + 1)/3
Suppose 0*r - 2*r**3 + 0 - 4/7*r**2 + 18/7*r**4 = 0. Calculate r.
-2/9, 0, 1
Let p be (6/15)/1*(27 + -22). What is j in 1/5 + 4*j + 20*j**p = 0?
-1/10
Solve -41*m**4 + 4*m**4 - 27*m**3 + 9*m**4 - 16*m**2 + 91*m**3 = 0.
0, 2/7, 2
Let n(o) be the third derivative of -3*o**8/952 + 29*o**7/1785 - 11*o**6/340 + o**5/34 - o**4/102 - 8*o**2. Factor n(f).
-2*f*(f - 1)**3*(9*f - 2)/17
Let b(z) be the first derivative of -4*z**2 - 4*z**3 - 4 - 2/5*z**5 - 2*z**4 - 2*z. Let b(a) = 0. Calculate a.
-1
Suppose -23*v = -21*v - 24. Let z be 0*(-4)/v*-1. Factor z*i**2 + 0 + 0*i + 1/5*i**5 + 1/5*i**4 + 0*i**3.
i**4*(i + 1)/5
Let q be 6/(-20)*112/(-12). Suppose 0 + q*v**2 - 4