 w?
-1, 2
Let m(j) be the first derivative of 0*j - 13/4*j**4 + 4*j**3 + 6/5*j**5 - 1/6*j**6 - 2*j**2 - 3. Find u, given that m(u) = 0.
0, 1, 2
Let n(h) be the first derivative of h + 1/5*h**5 - 2/3*h**3 + 1/2*h**4 - 1/6*h**6 - 1/2*h**2 + 3. Let n(i) = 0. Calculate i.
-1, 1
Let p(b) = -b**2 + 10*b + 14. Let h be p(11). Determine d, given that 2*d**h - d**5 + 0*d + 3*d**4 - 3*d**4 - d = 0.
-1, 0, 1
Let f(u) be the third derivative of u**7/280 - u**6/160 - u**5/80 + u**4/32 + 26*u**2. Factor f(l).
3*l*(l - 1)**2*(l + 1)/4
Let y(a) be the second derivative of -14/45*a**5 + 2/27*a**4 + 49/135*a**6 + 0*a**3 + 0*a**2 + 0 - 2*a. Factor y(t).
2*t**2*(7*t - 2)**2/9
Factor -3/2*l**3 + 9/4*l - 3/4 - 3/2*l**2 + 9/4*l**4 - 3/4*l**5.
-3*(l - 1)**4*(l + 1)/4
Let f = 593 + -590. Factor -2/11*t + 0 + 0*t**2 + 2/11*t**f.
2*t*(t - 1)*(t + 1)/11
Let w(t) = t + 2. Let y be w(0). Suppose -3*j + 4 = j. Find z, given that -3 + j + 2 + y*z**2 + 2*z = 0.
-1, 0
Let z(i) be the third derivative of -i**5/20 + i**4/4 - i**3/2 - 24*i**2. Suppose z(t) = 0. Calculate t.
1
Let k(m) be the second derivative of m**6/45 - m**5/15 + 2*m**3/9 - m**2/3 + m. Factor k(n).
2*(n - 1)**3*(n + 1)/3
Factor 25/3*n**2 + 35/3 - 65/3*n + 5/3*n**3.
5*(n - 1)**2*(n + 7)/3
Let k(c) be the third derivative of c**7/1155 - c**6/330 + c**4/66 - c**3/33 + 9*c**2. Determine s so that k(s) = 0.
-1, 1
Let o = -22 - -25. Solve -4*t**2 + 4*t - 8*t**5 - t**4 - 9*t**3 + t**4 - 3*t**o + 20*t**4 = 0.
-1/2, 0, 1
Suppose -2*d - 2 = -3*d. Let q(y) be the second derivative of 0 + 1/50*y**5 - 2*y + 1/15*y**3 - 1/15*y**4 + 0*y**d. Factor q(u).
2*u*(u - 1)**2/5
Suppose f - 4 = -4*r, 2*f + 2*f - r = -1. Let b = 0 - f. Suppose b + 2/5*h**3 - 2/5*h**5 + 0*h + 2/5*h**4 - 2/5*h**2 = 0. What is h?
-1, 0, 1
Factor 0*h**2 - 2/5 + 3/5*h - 1/5*h**3.
-(h - 1)**2*(h + 2)/5
Let y(h) be the third derivative of -1/8*h**4 + 0*h + h**2 + 0 + 1/20*h**5 - h**3. Factor y(b).
3*(b - 2)*(b + 1)
Factor -2/5*x**2 + 4/5 + 2/5*x.
-2*(x - 2)*(x + 1)/5
Let l(b) be the first derivative of -b**4/9 - 8*b**3/27 + 2*b**2/3 - 4. Let l(n) = 0. Calculate n.
-3, 0, 1
Let j(f) be the third derivative of -3/8*f**4 + 0*f**5 + 1/40*f**6 - f**2 + 0*f + f**3 + 0. Let j(w) = 0. What is w?
-2, 1
Factor -14*s**5 + 6*s**3 + 9*s**5 + 10*s**4 + 14*s**3 - 40*s**2.
-5*s**2*(s - 2)**2*(s + 2)
Let v be 133/49 - (-4)/14. Let m = 9 - 5. Factor -c + 4*c**v - c**m - 4*c**3 + c**2 + c**3.
-c*(c - 1)**2*(c + 1)
Let f = -15/4 + 4. Let i(t) be the third derivative of 0 - 1/2*t**3 - 1/20*t**5 + 0*t + 2*t**2 - f*t**4. Let i(j) = 0. What is j?
-1
Suppose 6 = -3*x + 5*x. Factor 8*k**4 - 4*k**4 + k**2 + 8*k**x + 3*k**2.
4*k**2*(k + 1)**2
Let q be (-2)/5 - (-22)/5. Let y(g) be the third derivative of 1/32*g**q + 0 + 1/12*g**3 + 0*g - 3*g**2 + 1/240*g**5. Factor y(a).
(a + 1)*(a + 2)/4
Let z be (-24)/(-60) + (-24)/(-15). Determine x so that -1/3*x + 2/3*x**z - 1/3*x**3 + 0 = 0.
0, 1
Let b(v) = -v**3 - 2*v**2 + 3. Let o be b(-2). Let -3/4*l - 27/4*l**3 + o*l**4 + 0 + 9/2*l**2 = 0. What is l?
0, 1/4, 1
Let t = -17 + 17. Let k(w) be the first derivative of 1/27*w**6 + t*w + 0*w**2 - 2/45*w**5 + 0*w**4 - 2 + 0*w**3. Factor k(s).
2*s**4*(s - 1)/9
Let y(a) be the second derivative of -1/5*a**2 + 0 - 2/5*a**4 - 2/75*a**6 + 17/100*a**5 + a + 13/30*a**3. What is s in y(s) = 0?
1/4, 1, 2
Let b(v) be the first derivative of -2*v**5/15 - v**4/6 + 2*v**3/3 + v**2/3 - 4*v/3 - 15. Find q, given that b(q) = 0.
-2, -1, 1
Let o(h) be the first derivative of -2/3*h**3 - 1/90*h**5 + 0*h**2 - 1/540*h**6 + 2 + 0*h - 1/36*h**4. Let y(s) be the third derivative of o(s). Factor y(d).
-2*(d + 1)**2/3
Let k(z) be the second derivative of -z**5/100 - z**4/20 - z**3/10 - z**2/10 - 9*z. Factor k(v).
-(v + 1)**3/5
Suppose -9 = -3*d - u, -d - 3*u + 1 = -2. Solve 9*s**2 - s**4 + d*s**4 - 11*s**2 = 0 for s.
-1, 0, 1
Let n be (4 - (-4 - -4)) + -1. Factor 2 + 2*f - 2*f - n*f**2 + 1.
-3*(f - 1)*(f + 1)
Let u be (-312)/(-105) + (-24)/60. Find a, given that 3/7 + 12/7*a**3 + 12/7*a + u*a**2 + 3/7*a**4 = 0.
-1
Let r(l) be the first derivative of l**6/24 + 3*l**5/20 + 3*l**4/16 + l**3/12 - 6. What is j in r(j) = 0?
-1, 0
Let r(a) = -2*a**3 - 5*a + 7. Let v(q) = q**3 + 2*q - 3. Let b(n) = n**3 - 3*n**2 + 3*n - 2. Let u be b(3). Let c(g) = u*v(g) + 3*r(g). Factor c(w).
w*(w - 1)*(w + 1)
Let x = 7 + -3. Determine t so that -x*t**4 + 3*t - 4*t - t + 0*t**4 + 2*t**5 + 4*t**2 = 0.
-1, 0, 1
Let z(m) be the second derivative of -1/84*m**7 + 0*m**3 + 1/20*m**6 + 1/24*m**4 + 0*m**2 - 3/40*m**5 + 0 - m. Factor z(q).
-q**2*(q - 1)**3/2
Let l(n) be the third derivative of n**8/588 - 2*n**6/105 + 2*n**5/105 + n**4/14 - 4*n**3/21 - 23*n**2. Suppose l(m) = 0. Calculate m.
-2, -1, 1
Suppose 5*b = 4*h + 50, 0*b + 3*h = -b - 9. Let w be (-2 + 2)*(b - 7). Factor w - 1/3*z**2 - 2/3*z.
-z*(z + 2)/3
Suppose 3*u - 2 - 4 = -2*r, 2*u - 12 = -4*r. Let 0 + 4/5*p**4 + 0*p**2 + 2/5*p**5 + 2/5*p**r + 0*p = 0. What is p?
-1, 0
Let z(i) = -9*i**2 - 8*i - 4. Let k(h) = -5*h**2 - 4*h - 2. Let b(n) = -5*k(n) + 3*z(n). Determine r so that b(r) = 0.
-1
Let f = -12929/30 - -431. Let q(x) be the third derivative of 1/6*x**4 + 1/3*x**3 - x**2 + f*x**5 + 0 + 0*x. Factor q(v).
2*(v + 1)**2
Let c(f) = -f - 4. Let k be c(12). Let d = -46/3 - k. Factor -2/3*x + 2/3 + d*x**3 - 2/3*x**2.
2*(x - 1)**2*(x + 1)/3
Let z(d) be the third derivative of -d**6/780 + d**5/195 - d**4/156 + 4*d**2. Factor z(c).
-2*c*(c - 1)**2/13
Let p(s) = s**3 + 5*s**2 - 6*s + 2. Suppose 42 = -3*f + 4*a + 16, 2*a = 4. Let l be p(f). Factor -1/4*q**3 + 0*q**4 + 0*q + 1/4*q**5 + 0 + 0*q**l.
q**3*(q - 1)*(q + 1)/4
Let a be 14/48*4/14. Let x(j) be the first derivative of -1/6*j**2 + 1 + 1/9*j**3 + a*j**4 - 1/3*j. Factor x(b).
(b - 1)*(b + 1)**2/3
Let k(n) be the third derivative of -4*n**7/21 - 5*n**6/6 - 11*n**5/8 - 15*n**4/16 + 71*n**2. Suppose k(w) = 0. Calculate w.
-1, -3/4, 0
Determine y, given that -2*y**4 + 7*y**4 + 15 - 10*y**3 + 6*y + 4*y - 20*y**2 = 0.
-1, 1, 3
Factor 0 + 0*j - 1/4*j**2.
-j**2/4
Let f(q) be the second derivative of 7*q**6/15 + 17*q**5/10 + 3*q**4/2 - 5*q**3/3 - 4*q**2 + 6*q + 1. Factor f(v).
2*(v + 1)**3*(7*v - 4)
Let t = 110 - 108. Let i be (-5)/(-18) - (-4)/18. Let 0 + 1/2*p - i*p**t = 0. What is p?
0, 1
Let z(h) = -5*h**2 + 14*h - 8. Let d(m) = 3*m**2 - 9*m + 5. Suppose -l = -0*l - 8. Let r(c) = l*d(c) + 5*z(c). Factor r(i).
-i*(i + 2)
Let t(m) = m + 3. Let b be t(0). Determine v so that 3*v**3 + 0*v**b - v**3 - 2*v = 0.
-1, 0, 1
Let g be -5 - (216/(-30) - (-16)/(-20)). Find v such that 2/9*v**5 + 0*v + 2/3*v**g + 0 - 2/3*v**4 - 2/9*v**2 = 0.
0, 1
Let l(u) be the first derivative of u**6/18 + u**5/15 - u**4/6 - 2*u**3/9 + u**2/6 + u/3 - 4. Factor l(k).
(k - 1)**2*(k + 1)**3/3
Suppose 4*b + q - 16 = 5*q, 20 = -5*b - 5*q. Factor b*g - 4/5*g**2 + 14/5*g**4 - 2*g**3 + 0.
2*g**2*(g - 1)*(7*g + 2)/5
Let l be -6*(135/40)/(-9). Factor n + l*n**3 + 3*n**2 + 0.
n*(3*n + 2)**2/4
Let x be (-8)/(10 - 6) + (-7)/(-3). Let d = 3/19 - -10/57. Factor d*r**3 + 0 + 0*r**2 - x*r.
r*(r - 1)*(r + 1)/3
Let p be -16 + 17 - (-1)/1. Let s(l) be the second derivative of 0*l**p + 0 + 1/42*l**4 + 2*l + 1/21*l**3. Solve s(w) = 0.
-1, 0
Let r(z) be the first derivative of 5*z**4/6 - 4*z**3 + 4*z**2 + 5*z - 4. Let t(f) be the first derivative of r(f). Factor t(a).
2*(a - 2)*(5*a - 2)
Let z(l) be the third derivative of -1/20*l**6 + 1/168*l**8 - 1/6*l**5 + 0*l + 1/105*l**7 + 6*l**2 + 0 + 0*l**3 - 1/6*l**4. Determine r so that z(r) = 0.
-1, 0, 2
Factor -4*q + 8*q**2 - 4*q**3 + q**3 - q**3.
-4*q*(q - 1)**2
Let u be ((-112)/20)/7*-5. Factor 0 - 2/7*p**3 + 6/7*p**u + 0*p**2 + 0*p + 8/7*p**5.
2*p**3*(p + 1)*(4*p - 1)/7
Find z such that -40 - 25*z**3 + 44*z - 115*z + 11*z + 90*z**2 = 0.
-2/5, 2
Let o(x) be the first derivative of x**6/27 - 4*x**5/45 + x**4/18 - 3. Solve o(c) = 0 for c.
0, 1
Let u = -2 + -10. Let k be (-30)/u + 2/(-4). What is g in 2/5 + 3/5*g + 1/5*g**k = 0?
-2, -1
Solve 0 + 2/3*u**2 + 0*u + 2/3*u**5 - 2/3*u**4 - 2/3*u**3 = 0 for u.
-1, 0, 1
Let z(p) be the first derivative of 1/6*p**3 - 1/4*p**2 - 3 + 0*p. Let z(w) = 0. What is w?
0, 1
Let s(v) be the second derivative of 2*v**6/15 + v**5/5 + 11*v. Factor s(b).
4*b**3*(b + 1)
Let b(i) = -i**3 + i**2 + i - 1. Let v be b(1). Let u = -9/5 - 