ctor c(j).
-(j - 1)**3*(j + 3)/6
Let f = 1179/7 - 168. Let y(p) be the first derivative of 4/7*p + 2 - 4/21*p**3 + 3/14*p**4 - f*p**2. Solve y(c) = 0 for c.
-1, 2/3, 1
Let d(a) be the first derivative of 3*a**5/5 + 9*a**4/4 + 13*a**3/4 + 9*a**2/4 + 3*a/4 + 12. Factor d(q).
3*(q + 1)**2*(2*q + 1)**2/4
Let g be 1/((-4)/(-3)) - 2/4. Suppose -1/4*p + 1/2 - g*p**2 = 0. Calculate p.
-2, 1
Suppose 3*i + j = 5, 4*i + 4*j + 2 = -2. Suppose 1/2*s**2 + 9/2 + i*s = 0. What is s?
-3
Suppose 20 = 4*u + i, 4*i + 38 = 3*u - i. Suppose x - u*x + 20 = 0. Factor -3*p**4 - 3*p - 1 + 2*p**x - p - 4*p**3 - 6*p**2.
-(p + 1)**4
Let p(c) be the second derivative of 0 + 2*c + 0*c**2 - 9/20*c**5 - 13/30*c**6 - 5/42*c**7 + 1/3*c**3 + 1/12*c**4. What is i in p(i) = 0?
-1, 0, 2/5
Let b(v) = -4*v**4 - 9*v**3 + 12*v**2 + 4*v - 3. Let c(y) = 6*y**4 + 13*y**3 - 18*y**2 - 6*y + 5. Let u(a) = 7*b(a) + 5*c(a). Factor u(s).
2*(s - 1)**2*(s + 1)*(s + 2)
Let x(a) = -a**2 + 4*a - 10. Let n(m) = -m**2 - m. Let u(g) = 2*n(g) - x(g). Let q be u(-7). Factor -2*k**3 + 0*k**3 - 3*k**4 + 4*k**2 + k**q + k - k**2.
-k*(k - 1)*(k + 1)*(3*k + 1)
Let l(i) be the first derivative of -i**4/26 + 4*i**3/39 - i**2/13 - 5. Factor l(q).
-2*q*(q - 1)**2/13
Let r = 11 - 13. Let h be r*(-3 - 6/(-3)). Factor 2/9 + 2/9*f**h + 4/9*f.
2*(f + 1)**2/9
Suppose 3*v - 12 = -0. Let f = v + -2. Determine p so that -p**3 + 3*p**f - 5*p**2 - p**3 = 0.
-1, 0
Find p such that 10*p**2 - 4*p + 4*p**3 - 8*p**4 + 0*p - 4 + 2*p**2 = 0.
-1, -1/2, 1
Let g(i) be the second derivative of -4/3*i**4 - 3/5*i**5 + 0 - 2/21*i**7 + 8/3*i**3 + 8/15*i**6 + 0*i**2 + i. Suppose g(m) = 0. Calculate m.
-1, 0, 1, 2
Let q(m) be the third derivative of -m**7/84 + m**6/24 + m**5/6 - 5*m**4/6 - 34*m**2. Factor q(i).
-5*i*(i - 2)**2*(i + 2)/2
Let a(q) be the first derivative of -q**4/16 + q**3/4 - q + 5. Let p(s) be the first derivative of a(s). Factor p(d).
-3*d*(d - 2)/4
Let f be (-155)/(-30) + (-2)/12. Let x(i) be the third derivative of -1/84*i**6 + 0 - 2*i**2 - 1/245*i**7 + 0*i**3 + 0*i + 1/84*i**4 - 1/210*i**f. Factor x(h).
-2*h*(h + 1)**2*(3*h - 1)/7
Let i(j) be the second derivative of 0*j**3 + 0 - 1/6*j**4 + 1/15*j**6 - 1/10*j**5 + 0*j**2 + 1/21*j**7 - 2*j. Suppose i(n) = 0. What is n?
-1, 0, 1
Let m be (-915)/25 - 4/10. Let j = m - -187/5. Find p, given that j*p**4 + 6/5*p**2 + 2/5*p + 0 + 6/5*p**3 = 0.
-1, 0
Let f(z) be the first derivative of -2*z**5/5 - z**4/2 + 4*z**3/3 + 1. Factor f(n).
-2*n**2*(n - 1)*(n + 2)
Let s(y) = -y**3 - 7*y**2 - 6*y + 5. Let f(c) = c**3 + 10*c**2 + 9*c - 8. Let k(j) = 5*f(j) + 8*s(j). Factor k(x).
-3*x*(x + 1)**2
Let z(f) = 11*f**2 + 7*f + 13. Let d(m) = 5*m**2 + 3*m + 6. Let s be -3*(-1)/(-5)*-10. Let i(l) = s*z(l) - 13*d(l). Factor i(n).
n*(n + 3)
Let s = 1999 + -10129/5. Let a = 27 + s. Factor a*d**2 + 0 + 0*d.
d**2/5
Let u(q) be the third derivative of q**6/96 - q**5/16 - 24*q**2. Determine l so that u(l) = 0.
0, 3
Let k = -82 + 248/3. Let o be -2 + 25/20 + (-11)/(-4). Determine i so that 0 - 2/3*i**3 + 0*i**4 + 0*i**o + k*i**5 + 0*i = 0.
-1, 0, 1
Let d be (-1)/((-2)/9) + -4 + 0. What is w in d*w + 1/2*w**2 + 0 = 0?
-1, 0
Let x(v) be the first derivative of 8*v**5/15 - v**4/3 - 13*v**3/6 - 17*v**2/12 - v/3 + 6. Find f such that x(f) = 0.
-1, -1/4, 2
Let j(i) be the third derivative of i**5/240 - 7*i**4/96 + i**3/2 + 41*i**2. Suppose j(v) = 0. Calculate v.
3, 4
Factor -3*t**4 + 36*t**3 + 14*t**2 - 3*t**4 - 12*t + 16*t**4.
2*t*(t + 1)*(t + 3)*(5*t - 2)
Suppose 4*b - b = 0. Suppose -3*z + 4*z - 2 = b. Solve 3*r**2 + 2*r + 1/2*r**4 + z*r**3 + 1/2 = 0 for r.
-1
Let g(w) = w**2 + 5*w. Let s be g(-5). Suppose 2*j + p + 1 = s, 3*j - p - 4*p - 31 = 0. Factor -1/4*k**j - 1/2*k - 1/4.
-(k + 1)**2/4
Factor -21/5*p**2 - 4/5*p + 28/5 - 1/5*p**4 + 2*p**3.
-(p - 7)*(p - 2)**2*(p + 1)/5
Let y be (-10)/(-3)*21/14. Factor 0*p**3 + 4*p**3 - 2*p**4 + 2*p**3 + y*p**4 + 3*p**2.
3*p**2*(p + 1)**2
Let u(i) be the third derivative of -i**8/480 + i**7/70 - i**6/42 + 2*i**5/105 - i**4/24 - 7*i**2. Let b(w) be the second derivative of u(w). Factor b(j).
-2*(j - 2)*(7*j - 2)**2/7
Factor 6/7 + 3/7*k**3 - 3/7*k - 6/7*k**2.
3*(k - 2)*(k - 1)*(k + 1)/7
Suppose 15 = 3*l - 3*z, 4*l - 16 = -0*z + 2*z. Solve 3*k**2 + k - 9*k**2 + k - 8*k**l = 0.
-1, 0, 1/4
Suppose 3*t - 8 - 1 = 0. Suppose -5*f + 0*f - 16*f**2 - 4*f**t - 15*f + 4*f = 0. What is f?
-2, 0
Let s(r) = -r + 6. Let o be s(4). Let j(w) be the second derivative of -1/12*w**3 + 0 + 3*w - 1/120*w**6 + 1/40*w**5 + 1/8*w**o + 0*w**4. Factor j(p).
-(p - 1)**3*(p + 1)/4
Let n(b) be the third derivative of b**7/105 - b**5/30 - 16*b**2. Factor n(t).
2*t**2*(t - 1)*(t + 1)
Let o(l) be the first derivative of 3*l**4/4 + 3*l**3 + 3*l**2 - 2. Determine b so that o(b) = 0.
-2, -1, 0
Let h(x) be the second derivative of 1/10*x**5 + 0 + x + x**3 + x**2 + 1/2*x**4. Find z such that h(z) = 0.
-1
Let o(x) be the third derivative of -4/3*x**3 + 0*x - 1/3*x**4 + x**2 + 0 - 1/30*x**5. Solve o(d) = 0 for d.
-2
Let l(t) = -t**2 + 34*t + 35. Let i be l(35). Factor i + 0*n - 4*n**5 + 2/3*n**3 - 2/3*n**4 + 0*n**2.
-2*n**3*(2*n + 1)*(3*n - 1)/3
Factor -9/2*p - 5/2*p**2 + 1.
-(p + 2)*(5*p - 1)/2
Let f(k) be the third derivative of 13*k**7/840 - k**6/240 - 13*k**5/80 + k**4/3 - k**3/6 - 4*k**2. Determine z so that f(z) = 0.
-2, 2/13, 1
Let q be ((-1)/4)/((-3)/6). Factor -q + 1/2*v**2 + 0*v.
(v - 1)*(v + 1)/2
Let h be (-1)/2*1*48/(-96). Suppose 1/4*c**3 - 1/4*c + h - 1/4*c**2 = 0. Calculate c.
-1, 1
Let s(c) = c + 1. Let f be s(0). Let q be (-8)/(-6)*f*3. Determine v, given that -4 + 4*v + q - 3*v**3 - v**4 = 0.
-2, 0, 1
Let p = 3 + 3. Factor 5*m**3 - p*m**3 - 4*m**2 + 3*m**2.
-m**2*(m + 1)
Let x(f) = 3 + f**3 + 2*f - f + 0*f. Let w be x(0). Factor d**5 - 136/5*d**2 + 16*d + 104/5*d**w - 37/5*d**4 - 16/5.
(d - 2)**3*(d - 1)*(5*d - 2)/5
Suppose -4*k - 4 + 20 = -y, -9 = -y - k. Let i(c) be the first derivative of -4/15*c**5 - 2 + 4/3*c + 7/3*c**2 - 1/9*c**6 + 1/3*c**y + 16/9*c**3. Factor i(s).
-2*(s - 2)*(s + 1)**4/3
Suppose 20 = -5*b + 4*q, 5*b = -q - q + 10. Suppose b = w - 0*w - 2. Factor 0 + 2*i**w - 3*i - 4 + 5*i.
2*(i - 1)*(i + 2)
Let j = 30 + -86/3. Find o, given that 2 - 2/3*o**2 + j*o = 0.
-1, 3
Let c(w) be the first derivative of -w**6/420 + w**5/84 - w**4/42 + w**3/3 - 3. Let v(r) be the third derivative of c(r). Factor v(x).
-2*(x - 1)*(3*x - 2)/7
Let x(h) = -2*h + 1. Let a be x(-2). Suppose 3*t - 4 - a = 0. Factor -4*v**3 + 16 - v**3 - 2*v**4 + 8*v - 12*v**2 - 5*v**t.
-2*(v - 1)*(v + 2)**3
Let k(q) = 3 - 5 - q**2 - 4*q**3 - 6*q + 3*q**2. Let f(t) = -t**3 + t**2 - 2*t - 1. Let y(s) = 10*f(s) - 3*k(s). Factor y(w).
2*(w - 1)*(w + 1)*(w + 2)
Suppose 5*q - 45 = -4*q. Let v(b) be the first derivative of 2/15*b**3 - 1/25*b**q + 0*b**2 - 1/5*b + 0*b**4 + 4. Solve v(t) = 0 for t.
-1, 1
Let r(w) = -3*w**2 - 8*w - 14. Let g(i) = -i**2 + 1. Let q(k) = -6*g(k) + 3*r(k). Factor q(z).
-3*(z + 4)**2
Let p = 650/1533 + -24/73. Let z(g) be the first derivative of 4/7*g - p*g**3 - 1/7*g**2 + 2. Find d, given that z(d) = 0.
-2, 1
Let q(u) be the second derivative of 2/3*u**3 + u - 1/9*u**4 - 4/3*u**2 + 0. Solve q(t) = 0 for t.
1, 2
Factor -2/5*c**2 + 16/5*c - 32/5.
-2*(c - 4)**2/5
Let t be (8/(-2))/(-5 + 3). Let z(q) = -q**2. Let h be z(0). Factor -t*r + h*r + 3*r + r**2.
r*(r + 1)
Let q(z) be the second derivative of -1/8*z**5 - 1/12*z**4 + 0*z**3 - 2*z + 1/30*z**6 + 5/84*z**7 + 0*z**2 + 0. Determine r, given that q(r) = 0.
-1, -2/5, 0, 1
Let g = -172 - -174. Factor -3*w**g - 39/5*w + 18/5.
-3*(w + 3)*(5*w - 2)/5
Suppose 2*p + 2 = -x, -x + 2 = x + p. Factor -2*q**2 + x*q**2 + 3*q**2 - 6*q.
3*q*(q - 2)
Let a be 1/((45/(-6))/(-5)). Factor -a*s**2 + 0 + 2/3*s.
-2*s*(s - 1)/3
Let t(o) = -o**4 + o**2. Let a(n) = 3*n**4 - 35*n**3 + 92*n**2 - 100*n + 40. Let z(v) = -a(v) + 2*t(v). Find l, given that z(l) = 0.
1, 2
Let u be 40/30 - (-3)/((-63)/10). Factor -3/7*s**3 + u*s**2 - 6/7 + 3/7*s.
-3*(s - 2)*(s - 1)*(s + 1)/7
Let w(h) be the second derivative of -h**4/12 - 13*h**3/6 - 6*h**2 + 2*h - 12. Find m such that w(m) = 0.
-12, -1
Let t(n) = -n**3 + 5*n**2 + 7*n + 5. Let v be t(6). Factor 64*y**5 - v*y**4 + 4*y**3 - 4 + 4 - 21*y**4.
4*y**3*(4*y - 1)**2
Let c be -5 - (3 - 6) - -1. Let j be ((-2 + 2)/c)/2. Suppose j*p**2 + 0