w + 30/7*w**3 - 18/7*w**4 = 0?
0, 1/3, 1
Let k(c) be the first derivative of -c**3/12 + c**2/4 + 3*c/4 + 5. Determine i, given that k(i) = 0.
-1, 3
Let n = 25/2 + -12. Let v = 1681/4 + -420. Factor -v*q**4 + n*q + 0 + q**3 - 5/4*q**2.
-q*(q - 2)*(q - 1)**2/4
Suppose 4*t - 15 = -2*w - 5, 5*w = -2*t - 7. Factor 2/7*v**t + 2/7*v**3 + 0 + 0*v**2 + 0*v.
2*v**3*(v + 1)/7
Let x be (12/(-8))/(66/(-16)). Factor 0 - 2/11*c**2 + x*c.
-2*c*(c - 2)/11
Suppose -2*p + 0*p + 10 = 0. Let z = p - 5. Let 0*x**2 - 4/5*x**3 + 2/5*x**5 + 0 + 2/5*x + z*x**4 = 0. Calculate x.
-1, 0, 1
Let w(d) be the first derivative of -d**5/30 - 5*d**4/24 - 4*d**3/9 - d**2/3 - 18. Suppose w(b) = 0. What is b?
-2, -1, 0
Let d be 2/54*(-39)/(-65). Let s(y) be the third derivative of 2/9*y**3 - y**2 + 1/36*y**4 + 0*y - d*y**5 - 1/180*y**6 + 0. Suppose s(o) = 0. What is o?
-2, -1, 1
Let m(l) be the second derivative of -l**6/150 - l**5/50 + l**4/20 + 2*l**3/15 - 2*l**2/5 - l. Determine v so that m(v) = 0.
-2, 1
Suppose b - 2*b = 6. Let i be 2/6 - 16/b. Determine m so that 0*m + 1/3*m**i + 0 + 1/3*m**2 = 0.
-1, 0
Let p(i) be the first derivative of -i**7/840 + i**6/360 - i**3/3 - 2. Let f(g) be the third derivative of p(g). Factor f(h).
-h**2*(h - 1)
Let n = -1041/7 - -149. Factor n*q**2 - 2/7 + 0*q.
2*(q - 1)*(q + 1)/7
Factor 2*a**2 - 4*a**2 - 7*a**3 + a**3.
-2*a**2*(3*a + 1)
Let m(s) be the first derivative of -1/12*s**4 + 3*s + 1 - 1/20*s**5 + 1/30*s**6 + 0*s**2 + 1/6*s**3. Let o(z) be the first derivative of m(z). Factor o(p).
p*(p - 1)**2*(p + 1)
Let f(r) be the third derivative of -r**5/210 - 5*r**4/84 + 2*r**3/7 - 7*r**2. Let f(v) = 0. What is v?
-6, 1
Let b(v) = -4*v**3 + 4*v**2 + 40*v + 32. Let y(p) = 28*p**3 - 28*p**2 - 280*p - 224. Let u(m) = 20*b(m) + 3*y(m). Solve u(l) = 0.
-2, -1, 4
Factor -4/13*n**2 + 4/13*n**4 + 0*n**3 - 2/13*n + 2/13*n**5 + 0.
2*n*(n - 1)*(n + 1)**3/13
Suppose 0 = 13*w - 22 - 4. Factor 8/15*n**w + 0 - 8/15*n - 2/15*n**3.
-2*n*(n - 2)**2/15
Suppose p + 1 = 73. Let d be p/(-54)*(-1)/4. Determine g, given that -g - 2/3 - d*g**2 = 0.
-2, -1
Let k = 74/7 - 72/7. Let u(h) be the first derivative of 4/7*h - h**2 - k*h**5 + 1/2*h**4 - 1 + 2/7*h**3. Determine a, given that u(a) = 0.
-1, 2/5, 1
Factor -15*a + 15*a - 2*a**2 - 2*a**2 - 4*a**4 + 8*a**3.
-4*a**2*(a - 1)**2
Let j(z) = -12*z**4 + 16*z**3 + 8*z**2 - 16*z - 1. Let v(r) = -30*r**4 + 40*r**3 + 20*r**2 - 40*r - 2. Let l(x) = 12*j(x) - 5*v(x). Factor l(h).
2*(h - 1)**2*(h + 1)*(3*h - 1)
Let v(x) = x**2 - 8*x. Let s(p) = -3*p**2 + 33*p. Let t(f) = 5*s(f) + 21*v(f). Factor t(y).
3*y*(2*y - 1)
Let q(j) = 29*j**4 - 10*j**3 - 24*j**2 + 10*j - 5. Let i(c) = -59*c**4 + 20*c**3 + 48*c**2 - 20*c + 11. Let u(v) = 4*i(v) + 9*q(v). Let u(n) = 0. What is n?
-1, 1/5, 1
Let w(r) be the second derivative of -r**4/24 - r**3/12 + 3*r**2 - 15*r - 2. Factor w(s).
-(s - 3)*(s + 4)/2
Suppose -2*p**2 - 5*p**4 + 2*p**4 - 3*p**4 - 2*p + 9*p**3 + p**3 = 0. Calculate p.
-1/3, 0, 1
Let r(v) be the third derivative of -v**6/1440 + v**4/96 - v**3/2 - 4*v**2. Let w(p) be the first derivative of r(p). Factor w(h).
-(h - 1)*(h + 1)/4
Let n(x) = x**2 - 6*x - 5. Let m(r) = 2*r**2 + 3*r - 2. Let s be m(-3). Let j be n(s). Factor 1/4*q + 0 - 1/2*q**j + 1/4*q**3.
q*(q - 1)**2/4
Let g = 85 + -169/2. Factor 0*c**3 + 1/4*c - 1/4*c**5 - 1/2*c**2 + g*c**4 + 0.
-c*(c - 1)**3*(c + 1)/4
Let z(n) be the first derivative of -n**4/24 - n**3/18 + 38. Factor z(u).
-u**2*(u + 1)/6
Suppose -3/7*t + 18/7 - 3/7*t**2 = 0. What is t?
-3, 2
Factor -13 - 4*i + 7 + 9 + i**2.
(i - 3)*(i - 1)
Suppose -9 = -2*d + 5*h, -2*d - 11 - 30 = 5*h. Let j(k) = k**3 + 9*k**2 + 8*k + 4. Let f be j(d). Determine m so that -m**2 - m**2 - 3*m + f*m - 2*m**2 = 0.
0, 1/4
Factor -4*d**2 - 5*d**2 + 4*d**3 - 11*d**2 + 16*d.
4*d*(d - 4)*(d - 1)
Let c(d) = -3*d**3 - 6*d**2 - 3*d. Let z(p) = 7*p**3 + 13*p**2 + 5*p - 1. Let v(a) = -5*c(a) - 2*z(a). Determine f so that v(f) = 0.
-2, -1
Let w(i) = i**3 + i**2. Let f(a) = 0*a**2 - 7*a**5 - a**2 - 9*a**4 + 4*a**2 + a**3. Let l(s) = f(s) - 3*w(s). Factor l(v).
-v**3*(v + 1)*(7*v + 2)
Suppose i - 18 = 5*a, 4*i = -4*a + 7*a + 21. What is f in -12*f**3 + f - 8*f**3 - i*f**2 - 7*f**4 + 8*f**3 + f = 0?
-1, 0, 2/7
Let r(n) be the third derivative of 5*n**2 + 0*n**4 - 1/120*n**5 + 0 + 1/12*n**3 + 0*n. Factor r(l).
-(l - 1)*(l + 1)/2
Let j(a) = -a - 6. Let t be j(-8). Let w = 13 + -8. Factor -4*g**3 + 5*g**3 + 6*g**2 - w*g**t.
g**2*(g + 1)
Let l(m) be the second derivative of m**5/10 + m**4/2 + m**3 + m**2 - 2*m + 3. Factor l(r).
2*(r + 1)**3
Suppose -6*l = -2*l - 9*l. Let v(s) be the second derivative of 4*s + l*s**4 - 1/15*s**6 + 0*s**2 + 0 - 1/5*s**5 + 0*s**3. Factor v(t).
-2*t**3*(t + 2)
Let f be (-1 + 3)*-6 - 0. Let p be ((-4)/8)/(2/f). Solve -b**3 - 2*b + 2 - 3 + b**2 + p*b = 0 for b.
-1, 1
Let t(c) be the second derivative of -c**4/36 - 5*c**3/3 - 75*c**2/2 + 3*c + 10. Determine n, given that t(n) = 0.
-15
Let a be (5/10)/1*0. Let i(j) be the third derivative of -1/35*j**7 - 1/30*j**5 + j**2 + 1/12*j**6 + 0*j + a - 1/12*j**4 + 0*j**3. Solve i(m) = 0 for m.
-1/3, 0, 1
Let g = 12 + -10. Find v such that 0 + 2*v**2 + 2 - 4*v**g = 0.
-1, 1
Let s(g) be the second derivative of -g**6/180 + g**5/30 - g**4/12 + g**3/9 + 2*g**2 - g. Let v(p) be the first derivative of s(p). Factor v(m).
-2*(m - 1)**3/3
Let p(v) = v**2 - 5*v + 6. Let a be p(4). Let 3*t**a - 6*t**4 + 3*t**2 - 3*t**5 + 0*t**4 + 3*t = 0. Calculate t.
-1, 0, 1
Let y(m) be the third derivative of 1/168*m**8 - 11/240*m**6 + 0*m + 3/40*m**5 - 3*m**2 + 0*m**3 - 1/24*m**4 + 0 + 0*m**7. What is q in y(q) = 0?
-2, 0, 1/2, 1
Let x(n) be the second derivative of -n**4/114 - 5*n**3/57 - 4*n**2/19 - 27*n. Factor x(p).
-2*(p + 1)*(p + 4)/19
Let v = 2 - 0. Let u(x) be the first derivative of -2*x**2 + 2/5*x**5 - 3 + 0*x**3 - v*x + x**4. Factor u(o).
2*(o - 1)*(o + 1)**3
Let b(p) be the first derivative of -1/2*p**2 + 0*p - 1/30*p**5 - 1/12*p**4 + 0*p**3 - 1. Let m(z) be the second derivative of b(z). Factor m(h).
-2*h*(h + 1)
Factor -4*w**3 + w**4 + 14*w**2 + 4*w + 9*w**2 - 34*w**2 + 10*w**2.
w*(w - 4)*(w - 1)*(w + 1)
Suppose 5*q + 15 + 0 = 0. Let l be (q + 34/12)*-10. Determine z so that l*z**3 + 3*z**4 - 3*z**2 + 0 + 2/3*z - 7/3*z**5 = 0.
-1, 0, 2/7, 1
Let g(s) be the second derivative of -1/8*s**3 + 0*s**2 + 0 - 1/40*s**6 - 3/16*s**4 - 9/80*s**5 - 2*s. Solve g(u) = 0.
-1, 0
Let h(r) = 3*r**2 + 11*r - 14. Let i(d) = d**2 + 4*d - 5. Let w(b) = 6*h(b) - 17*i(b). Find o, given that w(o) = 0.
1
Let f be 11/(363/6) - (-106)/22. Let m(b) be the first derivative of -3/10*b**f + 1 - 1/6*b**3 - 3/8*b**4 + 0*b - 1/12*b**6 + 0*b**2. What is v in m(v) = 0?
-1, 0
Let c = -11 + 12. Suppose 5*w + c + 3 = -q, -q = w + 4. Suppose -2/7*t**4 + 4/7*t + w + 8/7*t**3 - 10/7*t**2 = 0. Calculate t.
0, 1, 2
Let t(u) = 7*u**4 + u**3 - 3*u**2 - 5*u + 5. Let s(c) = 22*c**4 + 4*c**3 - 10*c**2 - 16*c + 16. Let v(p) = 5*s(p) - 16*t(p). Factor v(n).
-2*n**2*(n - 1)**2
Let p(m) = m**3 + 8*m**2 + 6*m - 5. Let i be p(-7). Let h(a) be the first derivative of 1 + 3/2*a**i - 2*a - 1/3*a**3. Find o such that h(o) = 0.
1, 2
Let o(x) be the first derivative of x**6/21 + 2*x**5/35 - x**4/14 - 2*x**3/21 + 5. Factor o(j).
2*j**2*(j - 1)*(j + 1)**2/7
Suppose 3/5*o**3 - 6/5*o**2 - 3/5*o + 6/5 = 0. What is o?
-1, 1, 2
Let r(g) = -g**2 + 8*g + 2. Let l be r(8). Suppose l*z + 3 = 3*z. Suppose -w + 5*w - 2*w + w**2 - w**z = 0. Calculate w.
-1, 0, 2
Let c(i) be the third derivative of -i**5/210 - 6*i**2. Factor c(l).
-2*l**2/7
Let r(z) be the first derivative of 1/5*z**5 - 10*z**2 + 8*z - 7/4*z**4 - 5 + 6*z**3. Suppose r(y) = 0. Calculate y.
1, 2
Let w(y) be the second derivative of 1/10*y**2 + 1/50*y**5 + 0 + 2/15*y**3 - 5*y + 1/12*y**4. Factor w(i).
(i + 1)**2*(2*i + 1)/5
Let n(u) = 5*u**2 - 6*u - 5. Let v(q) = 6*q**2 - 7*q - 6. Let c = -23 + 16. Let l(d) = c*n(d) + 6*v(d). Factor l(t).
(t - 1)*(t + 1)
Let d be (0 - -1)/(3/6). Let w = -892 - -9826/11. Factor 10/11*i**d + 2/11*i**3 + w*i + 6/11.
2*(i + 1)**2*(i + 3)/11
Let b(o) = -o**3 + 45*o**2 - 183*o + 203. Let u(v) = 2*v**3 - 134*v**2 + 550*v - 610. Let y(k) = 10*b(k) + 3*u(k). Let y(f) = 0. Calculate f.
2, 5
Let q(l) be the first derivative of 2/3*l**3 + 0*l**5 + 1/180*l**6 + 0*l**2 + 0*l**4 + 0*