ve of 7/180*d**6 + 0*d - 11/18*d**5 - 5/72*d**8 + 7/9*d**4 + 4*d**2 + 59/315*d**7 + 0 - 4/9*d**3. Suppose m(p) = 0. What is p?
-1, 2/7, 2/5, 1
Let a(n) be the third derivative of -n**2 + 0*n**4 + 0*n + 0 + 1/120*n**6 + 0*n**3 - 1/840*n**7 - 1/80*n**5. Find w such that a(w) = 0.
0, 1, 3
Let q(f) = -3*f**5 - 3*f**4 - 9*f**3 - 3*f**2 - 6*f + 6. Let r(i) = 5*i**5 + 5*i**4 + 17*i**3 + 6*i**2 + 11*i - 11. Let a(p) = -11*q(p) - 6*r(p). Factor a(o).
3*o**2*(o - 1)*(o + 1)**2
Let p be 2/30*(-4 + 15/3). Let t(i) be the first derivative of 4*i**4 - 1 - 32/3*i**3 + p*i**6 - 4/5*i**5 - 64/5*i + 16*i**2. Suppose t(j) = 0. Calculate j.
2
Let d(a) = 7*a**2 + 8*a - 2. Let g(x) = 6*x**2 + 7*x - 2. Let o(t) = 4*d(t) - 5*g(t). Suppose o(i) = 0. Calculate i.
-2, 1/2
Let a = 23/2 - 11. Factor 1/4*l**4 + 1/2*l - a*l**3 + 0*l**2 - 1/4.
(l - 1)**3*(l + 1)/4
Let o(c) be the third derivative of c**10/22680 - c**9/11340 + 7*c**4/24 - 10*c**2. Let t(w) be the second derivative of o(w). Suppose t(k) = 0. Calculate k.
0, 1
Let u(a) = a**5 + 9*a**4 - a**3 - 12*a**2 - 10*a - 7. Let s(j) = j**5 + 13*j**4 - 2*j**3 - 18*j**2 - 15*j - 11. Let x(k) = 5*s(k) - 8*u(k). Factor x(h).
-(h - 1)*(h + 1)**3*(3*h + 1)
Let c(y) be the first derivative of -4*y**5/3 - 2*y**4 + 16*y**3/9 + 4*y**2 + 4*y/3 + 8. Determine b so that c(b) = 0.
-1, -1/5, 1
Let q(j) be the second derivative of 3*j**5/40 - j**4/8 - j**3/4 + 3*j**2/4 + 2*j. Let q(g) = 0. What is g?
-1, 1
Let t(p) be the first derivative of -2*p**5/65 - p**4/13 - 2*p**3/39 + 3. Solve t(d) = 0.
-1, 0
Let j = 8 + -8. What is d in -8*d + j*d - d - 2 + 2*d - 5*d**2 = 0?
-1, -2/5
Let f(o) be the second derivative of -o**4/4 - o**3 + 8*o. Factor f(l).
-3*l*(l + 2)
Suppose 4*d - g - 3 = -6*g, g = -1. Let z(r) be the first derivative of 3*r - 9/2*r**d + 3*r**3 - 3/4*r**4 + 2. Let z(m) = 0. Calculate m.
1
Let k be (-13)/(-13)*(-6)/(-10). Let t(y) be the first derivative of -1/5*y + k*y**2 + 1/5*y**4 - 3/5*y**3 - 2. Solve t(n) = 0 for n.
1/4, 1
Let z(p) = p. Let x be z(2). Let 3*w**2 - w**2 + 0*w - 3*w**x - 2*w = 0. Calculate w.
-2, 0
Let w(m) be the third derivative of 0*m**4 + 0 - 5*m**2 - 1/40*m**5 + 1/4*m**3 + 0*m. Let w(k) = 0. Calculate k.
-1, 1
Let k(p) be the second derivative of -2*p - 1/4*p**2 + 0 + 1/6*p**3 - 1/24*p**4. Solve k(m) = 0.
1
Let w(d) = d**3 + 3*d - 3. Let t(p) be the second derivative of p**5/10 + 2*p**3/3 - 2*p**2 - p. Let o(f) = -3*t(f) + 4*w(f). What is v in o(v) = 0?
0
Let m(s) be the second derivative of s**7/21 - 2*s**6/15 - 3*s**5/5 + 4*s**4/3 + 5*s**3/3 - 6*s**2 + 7*s. Find f, given that m(f) = 0.
-2, -1, 1, 3
Let b(l) be the first derivative of -l**4/16 - l**3/2 - 9*l**2/8 - l + 11. Factor b(m).
-(m + 1)**2*(m + 4)/4
Let m(l) be the third derivative of l**6/450 - l**5/75 + 2*l**3/3 - 2*l**2. Let h(k) be the first derivative of m(k). Suppose h(d) = 0. Calculate d.
0, 2
Let w(d) be the third derivative of -d**5/90 + 5*d**4/9 - 100*d**3/9 - 2*d**2 + 1. Solve w(o) = 0 for o.
10
Let c(a) be the first derivative of 3*a**4/28 - 3*a**2/14 + 4. Solve c(i) = 0.
-1, 0, 1
Let s = -9/2 + 5. Let z = 2 + -7/4. Factor -s*v + z + 1/4*v**2.
(v - 1)**2/4
Let j(u) = 4*u - 47. Let p be j(12). Solve -p - b - 1/4*b**2 = 0 for b.
-2
Let y(i) = 2*i**2 - 7*i - 4. Let k(n) = 6*n**2 - 7*n**2 + 4 + 4*n - 2. Let o(p) = -5*k(p) - 3*y(p). Factor o(r).
-(r - 2)*(r + 1)
Let i(x) = -2*x + 16. Let d be i(7). Let h(a) be the first derivative of 0*a + 2/3*a**3 - 2 + 2/15*a**5 + 1/3*a**d + 1/2*a**4. Factor h(v).
2*v*(v + 1)**3/3
Let q be (-8)/(-36) + 16/90. Factor 0 + 2/5*d**3 + 0*d + q*d**5 + 4/5*d**4 + 0*d**2.
2*d**3*(d + 1)**2/5
Let v(c) be the second derivative of c**4/32 - c**3/4 + 9*c**2/16 + c. Suppose v(h) = 0. Calculate h.
1, 3
Suppose 7*d = 5*d - 2*d. Let p(o) be the first derivative of 0*o**2 - 1/24*o**6 + d*o**3 + 3/20*o**5 - 2 + 0*o - 1/8*o**4. Let p(v) = 0. What is v?
0, 1, 2
Let w(q) be the second derivative of -9*q**5/100 + q**4/5 + q**3/10 - 3*q**2/5 + 20*q. Suppose w(k) = 0. Calculate k.
-2/3, 1
Let p(q) be the third derivative of -q**6/120 + q**5/15 - q**4/6 + q**3/2 - 2*q**2. Let d be p(2). Factor -d*a**3 + a**3 + a + a**3.
-a*(a - 1)*(a + 1)
Let l(b) be the second derivative of -b**6/10 + 3*b**5/5 - 5*b**4/4 + b**3 - 59*b. What is g in l(g) = 0?
0, 1, 2
Let s(t) be the second derivative of -1/9*t**4 + 1/63*t**7 - 3*t + 0*t**3 + 2/45*t**6 - 1/30*t**5 + 0*t**2 + 0. Let s(p) = 0. What is p?
-2, -1, 0, 1
Let p = -58 + 465/8. Let r(n) be the second derivative of 0*n**4 - p*n**2 - 1/40*n**5 + 0 + 1/12*n**3 + 1/120*n**6 + 4*n. Factor r(c).
(c - 1)**3*(c + 1)/4
Let a(i) be the second derivative of 3/10*i**5 - 1/6*i**4 + 1/15*i**6 - 1/21*i**7 + 0*i**2 - 5*i - 2/3*i**3 + 0. Find k such that a(k) = 0.
-1, 0, 1, 2
Let u(a) be the first derivative of -a**3/2 - 3*a**2/4 - 28. Factor u(x).
-3*x*(x + 1)/2
Let g(b) be the third derivative of b**7/525 - b**6/300 + 3*b**2. Suppose g(a) = 0. What is a?
0, 1
Let q(f) = -7*f**2 - 5*f + 6. Let d(c) = 8*c**2 + 6*c - 7. Let k(y) = -6*d(y) - 7*q(y). Determine j so that k(j) = 0.
0, 1
Suppose 0*c = 4*c - 16. Let n(a) = a**2 - 4*a + 2. Let r be n(c). Factor 0*b + 2/9*b**4 + 0 + 0*b**r - 2/9*b**3.
2*b**3*(b - 1)/9
Let q = 26 - 21. Let x(o) be the second derivative of -7/75*o**6 + 7/30*o**4 + 1/21*o**7 + 2*o - 2/15*o**3 + 0*o**2 + 0 - 3/50*o**q. Solve x(w) = 0.
-1, 0, 2/5, 1
Suppose 0 = -2*p + 2*u + 2, -2*p + 3*u + 3 = 4*p. Find n, given that 0*n**2 + 2/5*n**3 + 1/5*n**5 + 0*n + p + 3/5*n**4 = 0.
-2, -1, 0
Solve 0 - 2/11*k**5 + 4/11*k**3 + 0*k + 0*k**2 + 2/11*k**4 = 0 for k.
-1, 0, 2
Solve s**3 - 2*s**3 + 30*s**2 - 29*s**2 = 0.
0, 1
Let p(k) = -6*k + 2*k**3 + k - k**3 + 3*k**2. Let z be p(-4). Factor q**2 - 5*q**2 - 2*q - z*q**2.
-2*q*(4*q + 1)
Let l(s) = s**3 - 2*s**2 + 1. Let d be l(2). Suppose -2*f = d - 5. Determine c so that 3*c**2 + f*c**3 + 0 - 7*c**2 - 2*c + 4 = 0.
-1, 1, 2
Let u be 10 + 1*(1 - 1). Let t = 14 - u. Solve -12*m + 4 + 2*m**4 + m**3 + 0 - m**t - 7*m**3 + 13*m**2 = 0.
1, 2
Let k = 43 + -43. Solve 2/5*v - v**2 + k = 0 for v.
0, 2/5
Factor 3*a - 9*a**2 + 6*a**3 + 3*a**2 - 2*a**4 - a.
-2*a*(a - 1)**3
Let s(v) = -v**2 + 15*v - 16. Let m be s(11). Suppose 3*k + 2*q = -k + 16, m = 4*k + 5*q. Factor a**k + 0 - 1/2*a**5 + 1/2*a + 0*a**3 - a**4.
-a*(a - 1)*(a + 1)**3/2
Suppose 14/17*i**2 - 8/17 - 24/17*i = 0. Calculate i.
-2/7, 2
Factor -7/5 + 1/5*k**4 - 18/5*k**2 - 4/5*k**3 - 4*k.
(k - 7)*(k + 1)**3/5
Let a(j) = 4*j**3 + 1. Let w be a(-4). Let u = -1015/4 - w. Suppose u*s - 7/4*s**2 + 1/2 = 0. What is s?
-2/7, 1
Let s(l) be the third derivative of -l**5/20 - l**4/8 + l**3 + 6*l**2. Let s(b) = 0. Calculate b.
-2, 1
Suppose 0 = 2*m - l - 11, 27 = 4*m + 3*l - 6*l. Let u(j) = -j + 5. Let q be u(m). Factor 0 + g - 1/2*g**q.
-g*(g - 2)/2
Suppose 0 + 0*t - 3/4*t**2 = 0. Calculate t.
0
Let q = 10 + -7. Let 0*g**2 + 3*g + q*g - 5*g + g**2 = 0. Calculate g.
-1, 0
Factor r**2 - 3/2 + 2*r**3 - 2*r + 1/2*r**4.
(r - 1)*(r + 1)**2*(r + 3)/2
Suppose -h - 3 = 5. Let m be 4/3*(-12)/h. Find v such that -v**m - 3*v + 2*v + 2*v**2 = 0.
0, 1
Let c(i) be the second derivative of i**6/90 - i**5/15 + i**4/18 + 2*i**3/9 - i**2/2 + 27*i. Factor c(v).
(v - 3)*(v - 1)**2*(v + 1)/3
Let b(y) = -13*y**2 + 23*y - 9. Let j(r) = -6*r**2 + 11*r - 4. Let m(c) = -2*b(c) + 5*j(c). Solve m(l) = 0.
1/4, 2
Let i(v) be the third derivative of v**2 + 0 - v**4 - 4/3*v**3 + 0*v - 1/15*v**6 + 1/2*v**5. Find h, given that i(h) = 0.
-1/4, 2
Let d(g) = 3*g - 5. Let c be d(7). Factor 13 - c - 5*t - t + t**3 + 5*t**3 + 3*t**4.
3*(t - 1)*(t + 1)**3
Suppose -25*u + 6 = -22*u. Find p, given that 6/7*p + 2/7*p**u + 4/7 = 0.
-2, -1
Let o = 2/8927 + 571306/98197. Find l such that -48/11*l**2 - 2/11*l**4 - 32/11 - o*l - 16/11*l**3 = 0.
-2
Let q be 28/70 - (-2)/(-55). Let k(h) be the first derivative of -q*h - 2 + 2/33*h**3 - 1/11*h**2. Let k(v) = 0. Calculate v.
-1, 2
Let r(l) be the first derivative of -l**3/10 + 11*l**2/20 - 3*l/5 - 7. Solve r(k) = 0 for k.
2/3, 3
Solve 0 - 4/9*g - 2/9*g**2 = 0.
-2, 0
Let d(y) be the third derivative of y**6/24 - y**5/6 + 5*y**4/24 - y**2. Factor d(p).
5*p*(p - 1)**2
Let m(w) be the second derivative of -1/48*w**4 + 0 + w + 0*w**2 + 1/24*w**3. Suppose m(s) = 0. What is s?
0, 1
Let c(n) = -47*n - 376. Let a be c(-8). 