irst derivative of 0*s + 2/7*s**4 + 1/21*s**6 - 8/35*s**r + 3 + 0*s**3 + 0*s**2. Factor y(v).
2*v**3*(v - 2)**2/7
Suppose 2/5 + 18/5*f**2 - 12/5*f - 8/5*f**3 = 0. What is f?
1/4, 1
Let q be 3 - 3*(-3)/(-9). Suppose j - 4 = -i + q, 22 = 5*j + 3*i. Factor -l**3 + l - 2*l**2 + j*l**3 + 0*l.
l*(l - 1)**2
Suppose -3*s = -5*y - 5, -3*s = -0*y + 2*y + 2. Let v be ((-2)/(-3))/(2/6). Solve -1/2*j**3 + s + 0*j + 1/2*j**v = 0.
0, 1
Let b(t) be the third derivative of t**6/160 + 3*t**5/40 + 9*t**4/32 - 8*t**2. Determine j so that b(j) = 0.
-3, 0
Let d = 9/40 - 1/360. Suppose m - 4*m = -6. Factor d + 2/9*n**m + 4/9*n.
2*(n + 1)**2/9
Let d(h) = -5*h - 27. Let a be d(-6). Let r(o) be the first derivative of -3*o**2 - 2 + 0*o + 3*o**a - 3/4*o**4. Find s such that r(s) = 0.
0, 1, 2
Let f = 177/5 - 35. Suppose 2 = g, 0*c + 3*g - 12 = -3*c. Find t such that -2/5*t - 4/5*t**c + f = 0.
-1, 1/2
Suppose 0 = -2*g + 2*d - 14, -4*g + d - 13 = -0*d. Let h be 1/g*48/(-28). Factor 2/7*f**2 + h*f + 4/7.
2*(f + 1)*(f + 2)/7
Let x be (28/(-35))/(2/20). Let m(h) = -h**3 + h. Let s(u) = 10*u**3 + 4*u**2 - 6*u. Let z(a) = x*m(a) - s(a). Factor z(d).
-2*d*(d + 1)**2
Solve 2/17*r**3 - 10/17*r**2 - 8/17 + 16/17*r = 0 for r.
1, 2
Let j = -2 - -6. Determine w so that 2*w - j*w**3 + 4*w**4 - 7*w**2 + 2*w**2 - 3*w**2 + 4 + 2*w**5 = 0.
-2, -1, 1
Let w(g) be the third derivative of g**5/75 - g**4/24 + g**3/30 - 12*g**2. Factor w(p).
(p - 1)*(4*p - 1)/5
Let r(z) be the second derivative of -z**6/120 + z**5/40 + z**3/2 + z. Let s(d) be the second derivative of r(d). Factor s(n).
-3*n*(n - 1)
Let c = 0 + 2. Solve 3*v**3 - 3*v**4 + 9*v**4 + c - 3*v + 1 - 9*v**2 = 0 for v.
-1, 1/2, 1
Factor 2/13*x**4 + 6/13*x**3 - 2/13*x**5 - 10/13*x**2 + 0 + 4/13*x.
-2*x*(x - 1)**3*(x + 2)/13
Let r(j) be the first derivative of 8/3*j**2 - 2/3*j - 6 - 32/9*j**3. Solve r(u) = 0.
1/4
Let c(h) be the second derivative of h**8/16800 + h**7/3150 + h**6/1800 - h**4/12 - h. Let v(o) be the third derivative of c(o). Suppose v(f) = 0. What is f?
-1, 0
Factor 3/2*j**2 + 25/2*j**4 - 21/2*j**3 + 0 - 9/2*j**5 + j.
-j*(j - 1)**3*(9*j + 2)/2
Let x(f) be the first derivative of 5*f**3/2 - 21*f**2/4 + 3*f + 1. Factor x(z).
3*(z - 1)*(5*z - 2)/2
Let y(g) be the first derivative of 2 - 10/9*g**3 - 5/18*g**4 + 0*g**2 + 2/3*g**5 + 1/3*g**6 + 8/9*g. Factor y(u).
2*(u + 1)**3*(3*u - 2)**2/9
Suppose 0*u = u - 2. Suppose -2*y - 3*y + 10 = 0. Factor -h**u + 6*h + 4 - 4*h**2 - 9*h**2 + 4*h**y.
-2*(h - 1)*(5*h + 2)
Let z(p) = p**3 + 4*p**2 + p - 3. Let b be z(-3). Factor 3*w**2 - w - 2*w**3 + w**b + 4*w**3 - 5*w.
3*w*(w - 1)*(w + 2)
Find f such that 40*f + 4154*f**3 - 4149*f**3 + 1 + 19 + 25*f**2 = 0.
-2, -1
Suppose -c + 5*c = -100. Let g be 6/2 + c/9. What is s in g*s**3 - 2/3*s**2 - 2/9 + 2/3*s = 0?
1
Let b be (-11)/(231/36) - -4. Factor 10/7*z**2 + 8/7 + 2/7*z**3 + b*z.
2*(z + 1)*(z + 2)**2/7
Let i(m) be the second derivative of m**8/6720 - m**6/720 - m**4/6 - 2*m. Let s(r) be the third derivative of i(r). Determine a so that s(a) = 0.
-1, 0, 1
Let h be (-2)/(-4)*-10 - -7. Suppose -2/11*u**h - 6/11*u - 4/11 = 0. What is u?
-2, -1
Suppose 4*u - 10 + 2 = 0. Suppose -1 = -2*q + 3. Factor -4*v**4 - 2*v - v**2 + 0*v**5 + q*v**5 + 5*v**u.
2*v*(v - 1)**3*(v + 1)
Let i(m) be the second derivative of -m**9/1512 + m**7/420 + m**3/3 - 4*m. Let n(u) be the second derivative of i(u). Factor n(f).
-2*f**3*(f - 1)*(f + 1)
Let v(p) be the third derivative of -1/6*p**4 + 1/10*p**5 + 0 - 1/3*p**3 - 3*p**2 + 0*p. Factor v(b).
2*(b - 1)*(3*b + 1)
Suppose 0 = -2*m - 5*i - 20, 3*i + 12 = -0*m + 2*m. Determine d so that -2/9*d**2 + 0*d + m - 2/9*d**3 = 0.
-1, 0
Factor 2*p**2 + 0*p + 0*p + 6*p - 4*p.
2*p*(p + 1)
Solve 1/2*l**3 + 1/2*l**4 - 1/2*l + 0 - 1/2*l**2 = 0.
-1, 0, 1
Let y = -14 + 21. Let u(v) be the third derivative of 0*v - 1/525*v**y + 1/300*v**6 + 0*v**3 - 1/60*v**4 + 1/150*v**5 + 0 - 2*v**2. Solve u(z) = 0.
-1, 0, 1
Solve -4*z - 7/5*z**3 + 1/5*z**4 + 8/5 + 18/5*z**2 = 0.
1, 2
Let x(r) = -31*r**5 + 35*r**3 + 4*r**2 - 16*r - 4. Let g(j) = -j**5 - j**3 + j**2 - j - 1. Let y(t) = -4*g(t) + x(t). Determine b so that y(b) = 0.
-1, -2/3, 0, 2/3, 1
Let z(o) be the second derivative of o**6/50 - 3*o**5/100 - o**4/20 + o**3/10 - 12*o. Factor z(h).
3*h*(h - 1)**2*(h + 1)/5
Let x(o) = 34*o**2 - o. Let m be x(1). Let i be (-1)/(-4) - m/(-12). Factor -2*n**i - 3*n + 6*n - n.
-2*n*(n - 1)*(n + 1)
Let f(d) be the third derivative of -d**6/660 + d**5/165 + 7*d**2. Determine a so that f(a) = 0.
0, 2
Let j(z) be the second derivative of z**7/273 - 8*z**6/195 + 12*z**5/65 - 16*z**4/39 + 16*z**3/39 - 6*z. Find h such that j(h) = 0.
0, 2
Let m(w) be the first derivative of -15*w**4/4 + 5*w**3/3 + 35*w**2/2 - 25*w + 4. Suppose m(r) = 0. What is r?
-5/3, 1
Suppose a - 2*a = -1. Let c be 1/(-3)*-3 + a. Solve -3*u + 0 + u + u**4 - 1 + c*u**3 = 0 for u.
-1, 1
What is k in -2/3 - 4*k**2 + 8/3*k**3 + 8/3*k - 2/3*k**4 = 0?
1
Let y(p) be the first derivative of p**4/18 - 4*p**2/9 - 4. Factor y(u).
2*u*(u - 2)*(u + 2)/9
Let z(c) be the third derivative of 1/9*c**3 - 4/315*c**7 + 2*c**2 + 1/30*c**5 + 0 + 0*c + 1/36*c**6 - 5/36*c**4. Solve z(d) = 0.
-1, 1/4, 1
Let k(o) = -3*o**2 - o + 2. Let f be 0 + 5/((-10)/8). Let y(p) = 9*p**2 + 4*p - 6. Let l(h) = f*y(h) - 11*k(h). Factor l(r).
-(r + 2)*(3*r - 1)
Suppose 40*q - 36*q = 16. Let -4/9*s**5 - 2/9*s**2 + 4/9*s + 14/9*s**q - 4/3*s**3 + 0 = 0. Calculate s.
-1/2, 0, 1, 2
Factor 36/7*q**2 + 39/7*q**3 + 18/7*q**4 + 0 + 12/7*q + 3/7*q**5.
3*q*(q + 1)**2*(q + 2)**2/7
Suppose 4*x = x - f + 6, 0 = 2*f. Determine r so that -x*r**2 - r - 5*r**2 + 9 + 4*r**2 - 5*r = 0.
-3, 1
Let i(d) be the second derivative of d**4/126 + 2*d**3/63 + 27*d. Find q such that i(q) = 0.
-2, 0
Let t(f) be the third derivative of -f**6/540 + f**4/36 - 2*f**3/27 + 15*f**2. Determine v, given that t(v) = 0.
-2, 1
Suppose -16 = -5*c - 6. Let d be (-80)/(-12) + (-4)/6. What is z in -4 - d*z + 5*z**2 - 3*z**2 - 4*z**c = 0?
-2, -1
Determine q so that -12/19 + 12/19*q**2 + 0*q**4 + 16/19*q**3 - 14/19*q - 2/19*q**5 = 0.
-2, -1, 1, 3
Let o(u) be the third derivative of -u**9/11340 + u**8/2520 - u**7/1890 + u**4/6 - 2*u**2. Let v(w) be the second derivative of o(w). Factor v(t).
-4*t**2*(t - 1)**2/3
Let k be 4/(-16)*6*(-9)/6. Let 1 - 3/4*x**2 - k*x**3 + 2*x = 0. What is x?
-2/3, 1
Suppose -5 - 1 = -3*v. Find u such that 1/2*u**3 - u**v + 1/2*u + 0 = 0.
0, 1
Suppose 17 - 2 = 5*p. Let x be (-208)/24 - -8 - 8/(-3). Factor -3/2*n**4 + 0*n**x + 9/2*n**p - 6*n + 0.
-3*n*(n - 2)**2*(n + 1)/2
Let h(b) be the second derivative of b**4/18 + 2*b**3/9 + b**2/3 - 25*b. Suppose h(k) = 0. What is k?
-1
Let -2/7*r**3 + 0 - 10/7*r**2 - 12/7*r = 0. Calculate r.
-3, -2, 0
Let p(z) be the first derivative of z**3/9 - z**2/6 + 5. Solve p(i) = 0.
0, 1
Let s(b) be the second derivative of -b**6/6 + b**5/4 + 5*b**4/4 - 5*b**3/6 - 5*b**2 + 27*b. Find v such that s(v) = 0.
-1, 1, 2
Let w = -830/7 + 119. What is k in -3/7*k**2 + w*k + 0 = 0?
0, 1
Let w(b) be the first derivative of 12/5*b**2 - 2 + 9/10*b**4 - 20/9*b**3 - 16/15*b - 2/15*b**5. Solve w(k) = 0 for k.
2/5, 1, 2
Let q(r) be the first derivative of r**3/18 + r**2/3 + r/2 - 1. What is h in q(h) = 0?
-3, -1
Let s(k) be the first derivative of -2/21*k**3 + 0*k + 0*k**2 + 1/14*k**4 + 2. Factor s(j).
2*j**2*(j - 1)/7
Let n(t) be the third derivative of -1/60*t**6 + 0*t**7 + 0 + 1/24*t**4 + 0*t + 0*t**3 + 1/336*t**8 + 0*t**5 + t**2. Factor n(c).
c*(c - 1)**2*(c + 1)**2
Let m(y) be the second derivative of -y**4/42 - 2*y**3/21 - 10*y - 2. Suppose m(f) = 0. What is f?
-2, 0
Let f be (-36)/(-2)*(-2)/(-6). Suppose f*m - m - 10 = 0. Factor -4 - w**m + 6 - w**2.
-2*(w - 1)*(w + 1)
Let c(s) = s + 6. Let w be c(-6). Let h = 381/2 + -190. Factor w + h*b**4 - 1/2*b**2 - 1/2*b**3 + 1/2*b.
b*(b - 1)**2*(b + 1)/2
Let 2 - 4*q - 4 - 11*q**2 + 9*q**2 = 0. Calculate q.
-1
Let h = -29681/3 - -9999. Let f = h - 104. Factor 3*t**2 - 4*t + f.
(3*t - 2)**2/3
Let c(m) be the first derivative of m**6/15 - 4*m**5/5 + 17*m**4/10 - 16*m**3/15 - 22. Suppose c(a) = 0. Calculate a.
0, 1, 8
Let a(z) be the third derivative of 0*z**4 + 0 + 4*z**2 - 1/840*z**7 + 0*z**3 + 1/1344*z**8 - 1/480*z**6 + 0*z + 1/240*z**5. Determine b so that a(b) = 0.
-1, 0, 1
Suppose 2/7*n**3 + 