 1)/15
Let r(w) be the first derivative of 3*w**4/4 - 23. Determine x so that r(x) = 0.
0
Let q(h) be the third derivative of -h**6/180 - h**5/90 + h**4/36 + h**3/9 - 10*h**2. What is x in q(x) = 0?
-1, 1
Suppose 2*i = 5*j + 10, 4*j - 15 = 2*j - 3*i. Find w, given that 3/4*w**2 + 0 + 3/2*w**3 + j*w = 0.
-1/2, 0
Let b = -6 - -7. Let a be 2/7 - b/28. Factor 1/4*p + a - 1/2*p**2.
-(p - 1)*(2*p + 1)/4
Let n(l) = 3*l + 63. Let f be n(-20). Factor -3/2*d + 3 + 3/2*d**3 - f*d**2.
3*(d - 2)*(d - 1)*(d + 1)/2
Let z(o) be the third derivative of -o**8/20160 + o**7/5040 - o**5/30 - 3*o**2. Let r(y) be the third derivative of z(y). Find m such that r(m) = 0.
0, 1
Let j(d) be the second derivative of d**6/240 - d**5/60 - 2*d**2 - 4*d. Let h(u) be the first derivative of j(u). Find m, given that h(m) = 0.
0, 2
Factor -3/7*g**2 + 0*g + 0.
-3*g**2/7
Suppose o - 3*f = -4*o + 4, 2*o = f + 2. Factor -1/4*d**o + 0 - 1/4*d.
-d*(d + 1)/4
Let w be (-111)/(-21) + (-2)/7. Let p = w - 0. Factor 2*x**3 + 2*x**2 - p*x + 4*x - 3*x**2.
x*(x - 1)*(2*x + 1)
Let a(w) = -w**2 + 13*w - 22. Let i be a(11). Factor 0*t**2 + 0 + 3*t**4 + t**3 + i*t + 9/4*t**5.
t**3*(3*t + 2)**2/4
Find q, given that 18*q + 24*q**3 + 15*q**4 + 6*q**3 - 6*q**3 - 57*q**2 = 0.
-3, 0, 2/5, 1
Suppose 2*h = 8 - 0. Suppose h*b = -0*b. Find v, given that -2/3*v + v**4 - v**2 + 2/3*v**3 + b = 0.
-1, -2/3, 0, 1
Let g be 72/(-16) - (0 - 5). Suppose -g*q**2 + 0 - 1/2*q = 0. What is q?
-1, 0
Let c(m) be the second derivative of -7*m**4/18 + 5*m**3/9 + 2*m**2/3 - 6*m. Factor c(n).
-2*(n - 1)*(7*n + 2)/3
Let j(f) = f - 4. Let n be j(8). Find m, given that -2*m**2 - 84 + 84 + n*m = 0.
0, 2
Let c(a) be the first derivative of a**7/14 - 2*a**6/5 + 3*a**5/5 + 4*a + 1. Let p(k) be the first derivative of c(k). Factor p(n).
3*n**3*(n - 2)**2
Let g be 4 + 34/(-12) + -1. Let y(q) be the third derivative of 0*q + g*q**3 + 1/24*q**4 - 1/60*q**5 + 0 + q**2 - 1/120*q**6. Let y(f) = 0. What is f?
-1, 1
Let w(x) be the third derivative of 0 - 1/18*x**3 + 0*x + 1/180*x**5 - 4*x**2 - 1/360*x**6 + 1/72*x**4. Factor w(z).
-(z - 1)**2*(z + 1)/3
Let k be 1*(-155 + 4 + -2). Let n be (3 + 0)/(k/(-34)). Find g, given that 4/3*g**3 + 0*g**2 - 2*g**4 + 0*g + 0 + n*g**5 = 0.
0, 1, 2
Factor i**3 + 19*i - 377 + 776 + 8*i**2 - 387.
(i + 1)*(i + 3)*(i + 4)
Suppose -5*k = -0 - 10. Suppose 0 = t + g - 6, 3*t = 2*g + 3. Solve 2*o**3 - o**t + k*o**2 + 5*o**3 - 4*o**3 = 0.
-1, 0
Let s(y) be the first derivative of -y**3/3 + 5*y**2/12 + y/6 - 16. Factor s(w).
-(w - 1)*(6*w + 1)/6
Let o(c) be the second derivative of c**4/24 + c**3/4 - 5*c. Factor o(j).
j*(j + 3)/2
Let o(b) be the first derivative of 0*b + 0*b**4 - 2/45*b**5 + 0*b**3 + 1/27*b**6 + 2 + 0*b**2. Suppose o(p) = 0. Calculate p.
0, 1
Let m(x) be the first derivative of 1/180*x**6 + 1/12*x**4 + 1/30*x**5 - 2/3*x**3 + 0*x**2 + 0*x + 1. Let i(u) be the third derivative of m(u). Factor i(p).
2*(p + 1)**2
Let 1/2*w**4 + 3/2*w**3 - 1 + 1/2*w**2 - 3/2*w = 0. Calculate w.
-2, -1, 1
Factor 0 - 2/5*r + 2/5*r**3 - 2/5*r**2 + 2/5*r**4.
2*r*(r - 1)*(r + 1)**2/5
Solve 4/7*j**5 - 16/7*j**2 + 0 + 0*j**3 + 0*j + 12/7*j**4 = 0 for j.
-2, 0, 1
Let j(p) be the second derivative of -p**6/30 - p**5/10 + p**4/3 + p**3/3 - 3*p**2/2 + 12*p. Factor j(w).
-(w - 1)**2*(w + 1)*(w + 3)
Let l be (((-11)/2)/11)/(-3). Let g(y) be the second derivative of 0 + l*y**2 + 3*y - 1/36*y**4 + 0*y**3. Solve g(w) = 0.
-1, 1
Factor 0 + 0*w - 22/3*w**3 + 4/3*w**2.
-2*w**2*(11*w - 2)/3
Factor 0*s**2 + 2/3*s**4 + 4/3*s - 4/3*s**3 - 2/3.
2*(s - 1)**3*(s + 1)/3
Let b(l) be the first derivative of 0*l + 3 - 1/3*l**2 - 2/9*l**3. Factor b(n).
-2*n*(n + 1)/3
Let o(j) be the third derivative of -1/96*j**4 + 1/12*j**3 + 0*j - 1/80*j**5 + 1/480*j**6 + j**2 + 0 + 1/840*j**7. What is k in o(k) = 0?
-2, -1, 1
Let w(d) be the first derivative of 2*d**6 + 24*d**5/5 + 3*d**4/4 - 5*d**3 - 3*d**2/2 + 3*d - 20. Factor w(h).
3*(h + 1)**3*(2*h - 1)**2
Let v = -11 - -18. Let b = v + -7. Factor 1/6*o**4 - 1/6*o**2 + 1/6*o**5 - 1/6*o**3 + b + 0*o.
o**2*(o - 1)*(o + 1)**2/6
Let y be ((-164)/6)/(-9 - -8). Let t = -27 + y. Solve -5/3*g**2 - t*g - 2/3*g**3 + 2/3 = 0.
-2, -1, 1/2
Let t be ((-42)/30 + 1)*(-5)/4. Let 1/4*j**5 - t*j**3 + 0*j**4 + 0 + 0*j**2 + 1/4*j = 0. Calculate j.
-1, 0, 1
Let b = 27 - 22. Let j(u) be the third derivative of 0*u**3 + 1/12*u**4 + 1/20*u**6 - u**2 - 1/105*u**7 + 0 - 1/10*u**b + 0*u. Factor j(l).
-2*l*(l - 1)**3
Factor -2*z**3 + 3*z**4 - 5*z**3 + z**3 - 8 + 5 + 6*z.
3*(z - 1)**3*(z + 1)
Let o(j) = -2*j**4 + 10*j**3 - 10*j**2 + 6*j - 2. Let h(m) = -2*m**4 + 11*m**3 - 10*m**2 + 7*m - 3. Let a(v) = -2*h(v) + 3*o(v). Factor a(z).
-2*z*(z - 2)*(z - 1)**2
Let u = -43085 - -388348/9. Let x = 65 - u. Suppose -4/9*r**3 + 0 + 2/3*r**2 - x*r = 0. Calculate r.
0, 1/2, 1
Factor 0*y**2 + 5*y**4 + y**3 - 6*y**4 + 0*y**3 + y**2 - y.
-y*(y - 1)**2*(y + 1)
Let o = 10 + -7. Factor -m**3 + 5*m**3 + 6*m**2 - m**o + 6*m + 2 - m**3.
2*(m + 1)**3
Determine v so that -1/2*v**3 + 1/2*v + 1/2*v**2 - 1/2 = 0.
-1, 1
Let c(w) = -w - 6. Let h be c(-9). Solve z**3 - 3*z**3 + h*z**3 + z**2 = 0 for z.
-1, 0
Let l(d) = d**4 - d**3 - d - 1. Let i(g) = -3*g**4 - 36*g**3 - 36*g**2 - 24*g - 9. Let q(p) = -i(p) + 6*l(p). Factor q(u).
3*(u + 1)**3*(3*u + 1)
Let z(y) be the third derivative of -2/9*y**3 + 0*y + 1/30*y**5 - 1/36*y**4 + 0 - 5*y**2. Factor z(a).
2*(a - 1)*(3*a + 2)/3
Let z(g) be the second derivative of 0*g**2 - 1/20*g**5 + 0 + 1/12*g**4 - 4*g + 1/42*g**7 - 1/30*g**6 + 0*g**3. Let z(l) = 0. Calculate l.
-1, 0, 1
Let r = 4 + 8. Let w be (4/r)/((-2)/(-2)). Factor 0 - w*s**2 + 0*s.
-s**2/3
Let w(c) be the third derivative of c**5/5 - 2*c**4/3 + 2*c**3/3 + c**2. Factor w(m).
4*(m - 1)*(3*m - 1)
Let i be (2 - 0)/(-14)*3436. Let q = -490 - i. Suppose q*p - 2/7 + 8/7*p**2 = 0. What is p?
-1, 1/4
Let c(x) = 5*x - 65. Let v be c(13). Find r such that 0 - 1/3*r**4 + 0*r**3 + v*r + 1/3*r**2 = 0.
-1, 0, 1
Let 2*o + 2/5*o**2 - 2/5*o**3 + 6/5 = 0. What is o?
-1, 3
Let m(l) = l**5 - 4*l**4 - l**3. Let f(x) = -4*x**4 - x**3 - x**2. Let h(a) = -2*f(a) + 3*m(a). Let h(p) = 0. Calculate p.
-2/3, 0, 1
Let q(t) be the second derivative of 4*t**7/35 - 26*t**6/75 + 2*t**5/25 + 4*t**4/5 - 16*t**3/15 + 2*t**2/5 - 28*t. Find o such that q(o) = 0.
-1, 1/6, 1
Let w(b) = b**2 - 3*b. Suppose -2*s - 3*s - 30 = 0. Let d = -8 - s. Let n(t) = -4*t**2 + 13*t. Let i(f) = d*n(f) - 9*w(f). Find v, given that i(v) = 0.
0, 1
Let c(o) = o**3 - 5*o**2 + o - 1. Let f be c(5). Let v(k) be the second derivative of 1/40*k**5 + 0*k**2 + 0 + 0*k**f - 1/12*k**3 - 3*k. Factor v(d).
d*(d - 1)*(d + 1)/2
Let l(z) be the second derivative of -z**7/126 + 2*z**6/45 - z**5/15 - 27*z. Let l(h) = 0. What is h?
0, 2
Let n(y) be the third derivative of y**5/75 + 2*y**4/15 - 2*y**3/3 + 12*y**2. Factor n(o).
4*(o - 1)*(o + 5)/5
Let 1/5*t - 2/5*t**2 + 1/5*t**3 + 0 = 0. What is t?
0, 1
Let m be 4/(12/9) - -2. Suppose 5*k = -3*a + 3*k + 20, m*k - 36 = -4*a. Factor 2 - 6*y**3 + 3 + 3*y**a - 2 + 6*y - 6*y**4.
-3*(y - 1)*(y + 1)**3
Let f be 84/(-45) - (-6 - -4). Let s(o) be the first derivative of 0*o + 0*o**2 - 2/25*o**5 + f*o**3 - 1/10*o**4 + 1/15*o**6 + 2. Factor s(v).
2*v**2*(v - 1)**2*(v + 1)/5
Suppose 4 - 4 + 2*v**2 - 2*v = 0. What is v?
0, 1
Let u(t) be the third derivative of -t**5/240 - 11*t**2. Suppose u(m) = 0. Calculate m.
0
Suppose -5*l = -8*l + 9. Factor 0 - 2/5*g**l + 0*g + 2/5*g**2.
-2*g**2*(g - 1)/5
Let s = -16 - -23. Suppose s*w**4 + 51*w - 3*w**5 - 51*w - w**4 = 0. Calculate w.
0, 2
Let m = 3 + -3. Suppose -3*v = -8*v + 30. Factor m*b**2 + v*b**2 - 5*b**2 - b**4.
-b**2*(b - 1)*(b + 1)
Let d(i) = -4*i**3 - 2*i**2 + 2*i + 4. Let m(u) = -17*u**3 - 7*u**2 + 8*u + 16. Let o(g) = 9*d(g) - 2*m(g). Let o(n) = 0. Calculate n.
-2, -1, 1
Let m be (6 - (-165)/(-25))*3/(-9). Solve m*n**2 + 1/5*n**3 + 0 - 1/5*n**4 - 1/5*n = 0 for n.
-1, 0, 1
Let u = 13 - 10. Let s(v) be the first derivative of 3 + 0*v**2 - 3/14*v**4 - 6/35*v**5 - 1/21*v**6 + 0*v - 2/21*v**u. Solve s(l) = 0 for l.
-1, 0
Find i such that -1/4*i + 1/8*i**2 + 1/8*i**3 + 0 = 0.
-2, 0, 1
Let y(g) = g**2 - 2*g + 1. Let z(j) = -3*j**2 - 12*j - 66. Let b(o) = -2*y(o) - z(o). Factor b(f).
(f + 8)**2
Let o(f) be the second derivative of 0*f**4 + 0*f**3 - 2*f - 1/8