8 - 19*p**2 + 30*p + 22*p**2 = 0.
-5
Let p(l) be the second derivative of l**5/30 - l**4/6 + l**2/2 + 2*l. Let m(w) be the first derivative of p(w). What is c in m(c) = 0?
0, 2
Suppose 3*v - 5*v = -4. Suppose 0 = -0*w - w - 4*z + 56, -v*z + 154 = 4*w. Factor 2*u**4 + w*u**2 - 1 + 11 + 14*u**3 + 40*u + 6.
2*(u + 1)*(u + 2)**3
Let r(u) be the third derivative of -u**5/40 + 3*u**4/8 - 9*u**3/4 - 3*u**2. Let r(t) = 0. Calculate t.
3
Let b(p) be the second derivative of -p**6/10 + 3*p**5/20 + p**4/4 - p**3/2 - p. Solve b(l) = 0 for l.
-1, 0, 1
Suppose -2*i + 0*i = -4. Suppose -3*z - 4*j + 3 = 0, -i*j - 4 = -0*z - 4*z. Factor 0 - p**2 + z + 0*p**2.
-(p - 1)*(p + 1)
Let p = -108 - -112. Factor 2*z**5 + 10/7*z**p + 0*z**2 + 0*z - 4/7*z**3 + 0.
2*z**3*(z + 1)*(7*z - 2)/7
Let m(v) be the first derivative of v**3/6 - v**2/4 + 12. Let m(r) = 0. What is r?
0, 1
Let h(w) = -4*w + 6. Let u be h(1). Let 0 - 15/4*z**u - 3/4*z - 3*z**3 = 0. What is z?
-1, -1/4, 0
Let k = 3 - 3. Factor k*l + 3*l - l - 2*l**2 + 2*l**4 + 0*l**2 - 2*l**3.
2*l*(l - 1)**2*(l + 1)
Let q(k) = -k**4 - k**2 - k. Let a(r) = r**5 - 6*r**4 - 2*r**3 - 5*r**2 - 5*r. Let p(f) = -3*a(f) + 15*q(f). Factor p(v).
-3*v**3*(v - 2)*(v + 1)
Let c(l) be the third derivative of -l**8/560 + l**7/120 + l**6/120 + l**4/12 - 2*l**2. Let d(k) be the second derivative of c(k). What is a in d(a) = 0?
-1/4, 0, 2
Let n(z) = -7*z**5 - 7*z**4 - 2*z**3 - 11*z**2 - 9*z - 9. Let b(k) = k**5 + k**4 + k**2 + k + 1. Let y(h) = -18*b(h) - 2*n(h). Suppose y(t) = 0. Calculate t.
-1, 0, 1
Suppose 0 = 3*z + 4*y + 3 - 12, -2*y = 0. Factor -6/5*c**z - 2/5*c**4 + 0 - 6/5*c**2 - 2/5*c.
-2*c*(c + 1)**3/5
Let r(m) be the third derivative of 3*m**6/200 + m**5/50 - m**4/40 - 6*m**2. Factor r(c).
3*c*(c + 1)*(3*c - 1)/5
Let b = 5/3 + -17/12. Let -1/4*z**4 + 0 + 0*z + b*z**3 + 1/2*z**2 = 0. Calculate z.
-1, 0, 2
Let y = 11 - 6. Let t be 2/y - (-16)/10. Find p such that 4*p**t - 3*p**2 + p**2 - 2*p**3 - 4*p**2 = 0.
-1, 0
Let q(l) be the first derivative of l**6/33 + 4*l**5/55 - l**4/11 - 8*l**3/33 + l**2/11 + 4*l/11 - 3. Find p, given that q(p) = 0.
-2, -1, 1
Let k(l) be the third derivative of -l**8/504 - 4*l**7/945 + l**6/135 + l**5/45 - l**4/108 - 2*l**3/27 - 32*l**2. Let k(h) = 0. What is h?
-1, 2/3, 1
Determine v, given that 9*v**2 + 1/2*v**5 + 0 - 2*v**4 + 0*v - 3/2*v**3 = 0.
-2, 0, 3
Suppose t + 18 = 3*s - 3*t, 0 = 5*s + 3*t - 1. Factor y**4 + y**4 - y**2 + y**4 - s*y**3 + 0*y**4.
y**2*(y - 1)*(3*y + 1)
Factor 0 - 8/7*x - 2/7*x**2.
-2*x*(x + 4)/7
Suppose 5*h + 8 + 242 = 0. Let p = h + 352/7. Factor -2/7*y**4 + 4/7*y**3 - 2/7*y**5 - 2/7*y + 4/7*y**2 - p.
-2*(y - 1)**2*(y + 1)**3/7
Factor -16*f**4 - 20*f**4 + 34*f**4 + 6*f**3 - 8*f.
-2*f*(f - 2)**2*(f + 1)
Let r(p) be the third derivative of -p**9/3024 + p**8/840 - p**7/840 + p**3/6 + 4*p**2. Let i(u) be the first derivative of r(u). Suppose i(k) = 0. What is k?
0, 1
Factor -4*b**3 + 5*b + 4*b - 5*b.
-4*b*(b - 1)*(b + 1)
Let n(i) = i - 5. Suppose j + 2*j - 21 = 0. Let k be n(j). Factor -4*m + 4*m + k + 4*m + 2*m**2.
2*(m + 1)**2
Suppose -4*h + 6757 = 925. Suppose 486*g**4 + 16*g + 92*g**2 - h*g**5 + 108*g**2 + 448*g**3 + 308*g**3 = 0. What is g?
-2/9, 0, 1
Let z = 14 - 11. Factor -z*m**3 - 4*m**3 + 4*m**3.
-3*m**3
Let s(f) be the second derivative of f**5/10 + 11*f**4/6 + 13*f**3 + 45*f**2 - 40*f. Solve s(r) = 0 for r.
-5, -3
Let j be (-679)/(-77) - (-4)/22. Let 2*y**5 + 3*y**3 - y**5 + 2*y**5 - 10*y**4 - 6*y + j*y**2 + y**4 = 0. Calculate y.
-1, 0, 1, 2
Let z(a) = -a**2 - a + 1. Let b(g) = 5*g**2 + 45*g + 30. Let o(p) = -b(p) - 10*z(p). Suppose o(l) = 0. What is l?
-1, 8
Factor -51*u**2 - 16 + 149*u**2 + 6*u - 47*u**2 - 50*u**2.
(u - 2)*(u + 8)
Let y(d) be the second derivative of d**5/20 + 5*d**4/24 + d**3/3 + 2*d**2 - 4*d. Let k(q) be the first derivative of y(q). Let k(b) = 0. What is b?
-1, -2/3
Let k be 3/6 - (-1)/4*-1. Let o = -11 - -11. Factor 1/4*a**2 + o*a - k.
(a - 1)*(a + 1)/4
Let r be ((-42)/(-63))/(272/(-18)). Let k = 571/612 + r. Suppose -2*l + 4/9 + k*l**2 = 0. Calculate l.
1/4, 2
Let f be -3*(4 - 3) - -3. Let r(o) be the third derivative of 0 + 1/27*o**4 + f*o - 2*o**2 + 4/27*o**3 + 1/270*o**5. Suppose r(j) = 0. What is j?
-2
Factor 30*k**2 - 4*k + 5*k**3 + 34*k + 15*k + 20.
5*(k + 1)**2*(k + 4)
Suppose -2*h = 7 - 1. Let r be (-3)/(1 + 1 + h). Solve -9*d**4 + 2*d**2 - 7*d**2 - 9*d**2 + 6*d - 1 + 16*d**r + 2*d**5 = 0.
1/2, 1
Factor -2*p**3 - 8/7*p - 32/7*p**2 + 0.
-2*p*(p + 2)*(7*p + 2)/7
What is d in -1/4*d + 1/4*d**3 - 1/4 + 1/4*d**2 = 0?
-1, 1
Suppose -s - 2 = -3*i - 5*s, 2*i - 2*s - 6 = 0. Find t such that -5*t + 2 + 44*t**2 + 3*t - 42*t**2 - i*t = 0.
1
Let p(k) be the first derivative of k**8/8400 - k**6/600 - k**5/300 - 2*k**3/3 + 1. Let h(b) be the third derivative of p(b). Find x such that h(x) = 0.
-1, 0, 2
Let m(b) be the second derivative of b**7/189 - b**5/90 + 6*b. Find w, given that m(w) = 0.
-1, 0, 1
Let h(b) = 11*b + 4. Let k be h(-10). Let u = 744/7 + k. Factor 0*t**2 - 2/7*t**4 + 4/7*t - 4/7*t**3 + u.
-2*(t - 1)*(t + 1)**3/7
Suppose -3*w = -5*d - 6*w + 84, 60 = 3*d - 3*w. Suppose 77*a**3 + 2*a**2 + 14*a**2 + 60*a**4 + d*a**5 - 21*a**3 = 0. Calculate a.
-2, -2/3, 0
Let i be 2/(-2) - 551/(-38). Determine n so that 9/2*n**2 + 1/2*n**3 + i*n + 27/2 = 0.
-3
Let u be -14 + 12 - 26/(-12). Let k(s) be the third derivative of u*s**3 - 2*s**2 + 0 + 0*s - 1/12*s**4 + 1/60*s**5. Let k(w) = 0. Calculate w.
1
Factor 26 + 4*j**2 - j**4 + 2*j - 26 - j**2.
-j*(j - 2)*(j + 1)**2
Let z(f) be the third derivative of f**6/24 - f**5/3 + 5*f**4/6 - 11*f**2. Suppose z(q) = 0. Calculate q.
0, 2
Suppose 4*m + 3*h - 27 = 0, 0*h = 4*m + 2*h - 30. Let 3/2*g**2 + m*g + 27/2 = 0. Calculate g.
-3
Factor 4/7*f**3 + 0*f + 0 - 2*f**4 + 0*f**2.
-2*f**3*(7*f - 2)/7
Suppose 3*g + 0*g + 20 = 4*w, 26 = 3*w - 5*g. Suppose -1 - 1 + c**2 + 0*c - c + w*c = 0. Calculate c.
-2, 1
Let z(r) = 5*r**5 - 4*r**4 + 5*r**3 - 2*r**2 + 4*r. Let m(v) = -v**5 - v. Let f(c) = -4*m(c) - z(c). Factor f(o).
-o**2*(o - 2)*(o - 1)**2
Let m be (2/20)/((-6)/(-1008)). Let a = -232/15 + m. Factor -2/3 + a*c - 2/3*c**2.
-2*(c - 1)**2/3
Let n(l) = l**2 + l. Suppose 0 = m - 0 - 1. Let f(y) = -6*y**2 - 4*y. Let t = -5 - -9. Let o(z) = m*f(z) + t*n(z). Factor o(c).
-2*c**2
Suppose k = -0*k + 2. Let 1/3*b**3 + b - b**k - 1/3 = 0. Calculate b.
1
Let o = 1/121 + 235/847. Factor 2/7*s**2 + o - 4/7*s.
2*(s - 1)**2/7
Let p(w) be the third derivative of 5/27*w**4 + 0*w + 5/54*w**5 - 5*w**2 + 0 + 4/27*w**3. Factor p(l).
2*(5*l + 2)**2/9
Let z(m) be the second derivative of 1/3*m**3 - 3*m + 0*m**2 + 0 + 1/12*m**4. Find y, given that z(y) = 0.
-2, 0
Let g(u) be the second derivative of 0 + 3/8*u**2 + 3/16*u**3 - 1/16*u**4 + 5*u. Let g(z) = 0. Calculate z.
-1/2, 2
Solve 2/17*b**2 + 10/17 - 12/17*b = 0.
1, 5
Let k(j) be the second derivative of j**5/20 + 3*j**4/4 + 9*j**3/2 + 27*j**2/2 + 47*j. Let k(v) = 0. Calculate v.
-3
Factor -243*y**4 - 7*y - 135*y**3 + 5*y - 10*y + 96*y**2.
-3*y*(y + 1)*(9*y - 2)**2
Let c(x) be the third derivative of -1/2*x**3 + 0*x + 1/12*x**4 + 3*x**2 - 1/180*x**5 + 0. Factor c(f).
-(f - 3)**2/3
Let u(v) be the first derivative of -2*v**6/35 - v**5/7 - 2*v**4/21 - v - 3. Let h(r) be the first derivative of u(r). Factor h(a).
-4*a**2*(a + 1)*(3*a + 2)/7
Let b(v) be the third derivative of 0*v**5 + 0*v**6 + 1/1176*v**8 + 0*v - 1/735*v**7 + 0*v**4 - 2*v**2 + 0 + 0*v**3. Find s, given that b(s) = 0.
0, 1
Let s(f) = -f**3 - 6*f**2 - 6*f - 3. Let i = 12 - 17. Let w be s(i). What is y in 0 - 1/4*y + 1/4*y**w = 0?
0, 1
Let l(o) be the first derivative of -o**6/2 + 6*o**5/5 - 2*o**3 + 3*o**2/2 + 6. Factor l(z).
-3*z*(z - 1)**3*(z + 1)
Suppose 3*a = 0, 4*z - 2*a = -0*a - 356. Let g be z/(-30) - 2/12. Factor 32/5*n**4 + 0 - 2/5*n - 16/5*n**3 - g*n**2.
2*n*(n - 1)*(4*n + 1)**2/5
Let t(i) be the first derivative of 2/9*i + 1 + 0*i**2 - 2/27*i**3. Factor t(u).
-2*(u - 1)*(u + 1)/9
Let t be (0 - -3 - 2)/1*5. Let k(u) be the first derivative of -4/25*u**t + 1/10*u**2 - 3/5*u**4 + 8/15*u**6 - 1/15*u**3 + 0*u - 3. What is s in k(s) = 0?
-1/2, 0, 1/4, 1
Let o = -1948/45 - -482/9. Let d = -48/5 + o. Find c, given that 2/3*c**4 + 0*c + 0 - d*c**2 + 0*c**3 = 0.
-1, 0, 1
Let x be ((-54)/(-40))/(2/(-5)). Let u = x + 97/24. 