 + 3*x + 9. Solve p**3 - 3*p**i + 2 + 2*p - 2 = 0 for p.
-1, 0, 1
Let n(y) be the first derivative of 3/8*y**4 + 1/8*y**2 + 1/3*y**3 + 1/24*y**6 + 1/5*y**5 + 0*y - 1. Determine p, given that n(p) = 0.
-1, 0
Let f = -57 - -2281/40. Let w(s) be the second derivative of 0 + 0*s**3 + f*s**5 + 1/24*s**4 + 2*s + 0*s**2. Solve w(u) = 0 for u.
-1, 0
Let k(c) be the third derivative of 0*c - 5*c**2 + 1/525*c**7 + 0*c**4 + 0*c**6 - 1/840*c**8 + 0*c**5 + 0 + 0*c**3. Find s, given that k(s) = 0.
0, 1
Let l(z) = -1 - 14*z**3 - z**4 + z**5 + 4*z**4 - z + 14*z**3. Let u(j) = 2*j**5 + 7*j**4 + j**3 + j**2 - 3*j - 3. Let n(p) = -5*l(p) + 2*u(p). Factor n(d).
-(d - 1)**2*(d + 1)**3
Let j = -53/5 + 57/5. Solve -j - 2/5*c**3 - 8/5*c**2 - 2*c = 0 for c.
-2, -1
Find k such that 32/3*k**3 + 4/3 - 10*k + 16*k**2 = 0.
-2, 1/4
Let r(t) be the first derivative of 3 - 4/5*t**3 - 2/25*t**5 + 16/5*t + 4/5*t**2 - 1/2*t**4. Factor r(i).
-2*(i - 1)*(i + 2)**3/5
Let a(l) be the third derivative of l**5/75 + l**4/10 - 4*l**2. Factor a(h).
4*h*(h + 3)/5
Let u(x) = x**2 + 8*x + 3. Let c be u(-8). Factor j**3 - c*j**2 - 2*j**3 + 5*j**3 - 6*j**3 + 2*j + 3*j**4.
j*(j - 1)*(j + 1)*(3*j - 2)
Let i(q) be the third derivative of q**7/490 - q**6/56 + 9*q**5/140 - q**4/8 + q**3/7 - 6*q**2. Suppose i(a) = 0. What is a?
1, 2
Suppose r = -2*r + 6. Suppose -f - 2*f**2 + 3*f**2 - r*f + 2*f = 0. What is f?
0, 1
Suppose 152 - 62 = 30*t. Factor -t - 3/2*u**3 + 3/2*u**4 - 9/2*u**2 + 15/2*u.
3*(u - 1)**3*(u + 2)/2
Suppose 2/7*n**2 + 2/7*n**3 - 10/7*n + 6/7 = 0. What is n?
-3, 1
Determine l so that -1/2 - 1/6*l**5 + 1/6*l**4 + 11/6*l + l**3 - 7/3*l**2 = 0.
-3, 1
Let c(u) be the first derivative of u**6/8 - 9*u**4/16 - u**3/2 + 5. Factor c(i).
3*i**2*(i - 2)*(i + 1)**2/4
Let u(s) = -2*s**2 + 7*s - 5. Let h(o) = o**2 + 14*o - 11. Let w be h(-15). Let v(g) = -g**2 + 3*g - 2. Let m(d) = w*u(d) - 9*v(d). Factor m(q).
(q - 1)*(q + 2)
Suppose -3*j = 2*q + 2*q - 55, -5*j = 2*q - 45. Let h = q + -6. Determine k so that -k**h + k - k**2 + 2*k**2 - k**3 + 0*k**4 = 0.
-1, 0, 1
Let y(x) be the first derivative of -2/3*x**2 - 3 + 2/9*x**3 + 2/3*x. Factor y(s).
2*(s - 1)**2/3
Suppose -2*m + 3 = 3*b, -3*m + 3*b - 33 = -0*m. Let g be ((-1)/(-18))/(m/(-18)). Let 0*i**2 - g*i**3 + 0*i**4 + 0 + 0*i + 1/6*i**5 = 0. Calculate i.
-1, 0, 1
Let m(v) be the second derivative of 7*v**9/576 - 3*v**8/320 - 3*v**7/140 - v**6/120 + v**3 - 5*v. Let w(d) be the second derivative of m(d). Factor w(k).
3*k**2*(k - 1)*(7*k + 2)**2/4
Let y(o) be the second derivative of 0*o**2 - 4/3*o**3 + 0*o**5 + o**4 + 0 - 2*o - 2/15*o**6. Factor y(n).
-4*n*(n - 1)**2*(n + 2)
Let f(w) be the second derivative of w**4/66 + w**3/11 + 2*w**2/11 + 11*w. Determine r so that f(r) = 0.
-2, -1
Let q(l) = -5*l**2 + 8*l - 7. Let y(w) = 10*w**2 - 15*w + 15. Let m(p) = 5*q(p) + 2*y(p). Suppose m(n) = 0. Calculate n.
1
Find f, given that 2/5*f**2 + 0*f - 2/5*f**3 + 0 = 0.
0, 1
Let v(s) = -s**3 + 7*s**2 + s + 1. Let m(f) = 0*f**2 - 2*f**2 + f**2. Let b(g) = -24*m(g) - 3*v(g). Find r, given that b(r) = 0.
-1, 1
Let f(r) be the third derivative of -1/75*r**5 - 4*r**2 + 1/30*r**4 + 0 + 0*r**3 + 0*r. Factor f(j).
-4*j*(j - 1)/5
Let r be 8/(-32) + 23/(-4). Let d be (-6)/(-4)*r/(-9). Factor -4 + 15 + 3*f**2 - 18*f + d + 6*f.
3*(f - 2)**2
Find m, given that 0 + 7/5*m**2 + 2/5*m - 9/5*m**3 = 0.
-2/9, 0, 1
Let h(n) be the third derivative of -245*n**8/24 - 77*n**7/2 - 1393*n**6/24 - 281*n**5/6 - 45*n**4/2 - 20*n**3/3 + 2*n**2 - 14. Let h(b) = 0. What is b?
-1, -1/2, -2/7
Let r = -14/23 - -272/69. Suppose -14/3*d**4 + 6*d - 6*d**3 + r*d**2 + 4/3 = 0. Calculate d.
-1, -2/7, 1
Let o(b) be the second derivative of b**6/75 - b**4/15 + b**2/5 - 12*b. Suppose o(p) = 0. What is p?
-1, 1
Let y = -3/16 - -53/112. Suppose 4*h - 6 - 2 = 0. Factor 2/7*l**h + y*l**3 - 2/7 - 2/7*l.
2*(l - 1)*(l + 1)**2/7
Let m(k) be the first derivative of -5 - 1/6*k**4 + 2/15*k**5 + 5/3*k**2 - 4/3*k - 2/3*k**3. Factor m(p).
2*(p - 1)**3*(p + 2)/3
Suppose 4 = -7*i + 214. Let s be ((-5)/i)/((-1)/2). Find a such that -2/3*a + s*a**2 + 0 + 7*a**3 = 0.
-1/3, 0, 2/7
Let t(i) be the second derivative of -i**7/280 + i**6/40 - i**5/20 - 5*i**3/6 - 4*i. Let h(b) be the second derivative of t(b). Let h(y) = 0. What is y?
0, 1, 2
Let d be -2 + 2/(4/14). Let f(h) = -4*h**3 + 4*h**2 + 4*h + 1. Let v(o) = -6*o**3 + 6*o**2 + 6*o + 2. Let b(u) = d*v(u) - 8*f(u). Solve b(s) = 0 for s.
-1, 1
Let c(a) = -a**2 + 10*a + 14. Let t be c(11). Let 3/2*h**t - 3/2*h**2 + 0 - 1/2*h**4 + 1/2*h = 0. Calculate h.
0, 1
Let v(i) be the first derivative of 2*i**3/3 - 4*i**2 + 8*i + 7. Factor v(k).
2*(k - 2)**2
Let y be 102/30 + 4/(-10). Factor 0 + 0*f**2 + 3/5*f**y + 0*f.
3*f**3/5
Let k(f) = -f**2 + 1. Let i(x) = 49*x**2 + 63*x + 6. Let m(t) = 4*i(t) + 20*k(t). Let h(w) = 16*w**2 + 23*w + 4. Let z(r) = 32*h(r) - 3*m(r). Solve z(y) = 0.
-1, -1/4
Factor -14/9*v**3 - 2/3*v**4 + 2/3*v + 4/9 - 2/3*v**2.
-2*(v + 1)**3*(3*v - 2)/9
Let 1/10*o**3 - 1/5*o**2 + 1/10*o + 0 = 0. Calculate o.
0, 1
Let c be 5*3/(45/48). Let p be (c/(-10))/(12/(-20)). Find w, given that 4/3 + 3*w**3 - w**2 - p*w = 0.
-1, 2/3
Let v(a) be the second derivative of -a + 0*a**2 + 0*a**6 + 1/21*a**7 + 0 + 0*a**4 - 1/10*a**5 + 0*a**3. Factor v(p).
2*p**3*(p - 1)*(p + 1)
Let n(u) be the first derivative of u**6/105 - u**4/21 + u**2/7 + 4*u + 1. Let h(b) be the first derivative of n(b). Let h(j) = 0. Calculate j.
-1, 1
Let -8/7*x - 6/7*x**4 + 4*x**2 - 8/7*x**3 - 6/7 = 0. Calculate x.
-3, -1/3, 1
Let y(d) = -7*d**3 - 9*d**2 - 7*d. Let m(h) = 8*h**3 + 10*h**2 + 8*h. Let z(x) = -5*m(x) - 6*y(x). Suppose z(j) = 0. What is j?
-1, 0
Let b = -5 - -8. Suppose -2*w - 19 = -5*y, -b*y - 2*w = -3*w - 11. Let -y*s**5 - 4*s**3 - s**4 - 5*s**5 - 13*s**4 + 2*s**2 = 0. Calculate s.
-1, 0, 1/4
Let d(h) = h**3 + 9*h**2 + h + 11. Let m be d(-9). Suppose 6*v - 8 = m*v. Factor 0*t - v*t**4 - 18*t**2 - 4 + 10*t**3 - 4*t + 5*t + 13*t.
-2*(t - 2)*(t - 1)**3
Let g(r) be the third derivative of 1/756*r**8 + 0 + 0*r**3 - 1/270*r**5 + 0*r + 1/135*r**6 - 1/189*r**7 + 2*r**2 + 0*r**4. Factor g(h).
2*h**2*(h - 1)**2*(2*h - 1)/9
Let d be (-2 + 0)*3*30/(-765). Factor d - 2/17*o**2 + 2/17*o.
-2*(o - 2)*(o + 1)/17
Let u be 3*((-220)/(-72) + -3). Let r(y) be the third derivative of 1/60*y**5 + 0*y + 7/48*y**4 - u*y**3 - 7/240*y**6 + 0 + 4*y**2. Factor r(g).
-(g - 1)*(g + 1)*(7*g - 2)/2
Suppose 3*s + 4 = 10. Factor -10 + 12 - 2*b**2 + 2*b - s*b.
-2*(b - 1)*(b + 1)
Let d(h) be the second derivative of h**9/1512 + h**8/420 - h**6/90 - h**5/60 - h**3/6 - h. Let i(w) be the second derivative of d(w). Solve i(b) = 0.
-1, 0, 1
Factor 45 - 87*a - 5 - 17*a + 10*a**2.
2*(a - 10)*(5*a - 2)
Let o(i) be the second derivative of -5*i**4/12 - 5*i**3/6 + 21*i. What is g in o(g) = 0?
-1, 0
Let r = -21 + 30. Let g be (6/(-21))/((-7)/196*4). Solve r*o**3 + 3/2*o**5 - 6*o**g + 3/2*o - 6*o**4 + 0 = 0.
0, 1
Solve -199*s - 13*s - 27748*s**4 + 1092*s + 59895*s**5 + 360*s**2 - 20680*s**3 - 12787*s**4 + 80 = 0.
-2/11, 2/9, 1
Factor 3*o**4 + 3 + 5*o**5 + 31*o + 9*o + 5*o**2 + 17 - 25*o**3 - 8*o**4.
5*(o - 2)**2*(o + 1)**3
Let u(v) be the second derivative of -3/2*v**4 - 2*v**3 + 0 - 3/2*v**2 - 1/10*v**6 - 3/5*v**5 - 3*v. Let u(x) = 0. Calculate x.
-1
Let w be 14/4 - 4/(-8). Let q(l) be the third derivative of 0*l + 1/3*l**3 + 0*l**w + 0 - 1/30*l**5 - 2*l**2. What is n in q(n) = 0?
-1, 1
Let b(h) = 15*h**2 - 1. Let w be b(1). Suppose -4*c + r = -4, 3*r - w = -2. Solve -92/9*m**c - 8*m - 16/9 - 10/3*m**3 = 0 for m.
-2, -2/3, -2/5
Let j(t) be the third derivative of -1/60*t**6 - 4*t**2 + 0 + 0*t - 2/3*t**3 + 0*t**5 + 1/4*t**4. Factor j(q).
-2*(q - 1)**2*(q + 2)
Let w(a) = -a**3 + 7*a**2 - 5*a - 4. Let z be w(6). Suppose -6 = -4*p + 2*p. Factor g**4 - 6*g + 1 + z*g + 6*g**2 + 3*g**3 - 7*g**p.
(g - 1)**4
Let x(h) be the first derivative of -6 + 2/9*h**2 - 2/27*h**3 - 2/9*h. Determine q so that x(q) = 0.
1
Factor 16/3*t**2 + 14*t + 12 + 2/3*t**3.
2*(t + 2)*(t + 3)**2/3
Let w = 223 + -223. Factor -v - 3/2*v**2 + w - 1/2*v**3.
-v*(v + 1)*(v + 2)/2
Factor 5/6*s - 1/6*s**2 + 0.
-s*(s - 5)/6
Let d = 24 + -10. Suppose m - a = 0, -3*m + d = m + 3*a. Factor 2/5*o**m - 2/5 + 0*o.
2*(o - 1)*(o + 1)/5
Let x(s) be the third derivative of 0 + 1/240*s**5 