i**4 + 0*i**3 + 4*i**4 + 2*i**2 + i**3.
-i**2*(i - 1)*(i + 1)*(i + 2)
Let d(c) be the first derivative of -c**4/38 - 8*c**3/57 - 5*c**2/19 - 4*c/19 - 29. Factor d(v).
-2*(v + 1)**2*(v + 2)/19
Let q(y) be the first derivative of -y**6/9 - 18. Find d such that q(d) = 0.
0
Let u(g) be the third derivative of 5*g**8/336 + 17*g**7/42 + 79*g**6/24 + 47*g**5/12 - 50*g**4/3 - 160*g**3/3 - 28*g**2. Determine b so that u(b) = 0.
-8, -1, 1
Let z be -1*0/((-3)/(-1 + -2)). Let a(f) be the third derivative of 0*f**3 + 0 - 3*f**2 + 1/540*f**6 + z*f + 1/108*f**4 - 1/135*f**5. Solve a(k) = 0 for k.
0, 1
Let k(l) be the second derivative of 2*l**7/735 + l**6/70 + l**5/35 + l**4/42 - 3*l**2 - 7*l. Let c(m) be the first derivative of k(m). Factor c(w).
4*w*(w + 1)**3/7
Let p(k) be the second derivative of -k**5/70 + k**3/21 + 9*k. Determine i so that p(i) = 0.
-1, 0, 1
Let z(l) be the second derivative of l**7/12600 + l**6/1200 - l**4/3 + l. Let t(m) be the third derivative of z(m). Factor t(c).
c*(c + 3)/5
Let i(x) = -5*x**2 - 26*x - 41. Let r(q) = -5*q**2 - 27*q - 42. Let j(l) = -3*i(l) + 4*r(l). Suppose j(v) = 0. What is v?
-3
Suppose 0 = -z + 3. Suppose 3*k - 3 = z. Solve 2*j**4 + 2*j**3 + 6*j**2 - 2*j - 7*j**k - j**2 = 0 for j.
-1, 0, 1
Let s(i) be the second derivative of -7*i**6/225 - 13*i**5/75 - 3*i**4/10 - 4*i**3/45 + 4*i**2/15 - 9*i. Let s(j) = 0. What is j?
-2, -1, 2/7
Determine h so that -3*h - 9*h**2 + 4*h + 6 + 2*h + 0*h**2 = 0.
-2/3, 1
What is v in 8/3*v - 4/3*v**2 + 16/3 - 2/3*v**3 = 0?
-2, 2
Suppose 3*n = 5*l - 18, 2*n + 18 = 5*l + 1. Let m(b) be the third derivative of 0*b + 1/10*b**4 + 0 - 3/50*b**5 + 2*b**2 - 1/15*b**l. Factor m(f).
-2*(3*f - 1)**2/5
Let k(j) = -5*j**2 - 10*j - 16. Let f(s) = -4*s**2 + s - 21. Let i(y) = y**2 + 5. Let r(q) = -2*f(q) - 9*i(q). Let h(c) = -2*k(c) + 11*r(c). Factor h(d).
-(d + 1)**2
Let f(y) = -2*y**2 - 13*y - 2. Let h be f(-6). Let t be h/(-20)*(-1)/1. Find d, given that 1/5*d + t*d**2 - 2/5 = 0.
-2, 1
Let b = -4 - -4. Suppose 0 = p - b*p - 15. Suppose -6*y**2 + 25*y**3 + 0*y**4 + 42*y**4 + p*y**3 - 4*y = 0. What is y?
-1, -2/7, 0, 1/3
Factor -4/9*z**4 - 8/9*z + 8/9*z**3 + 4/9*z**2 + 0.
-4*z*(z - 2)*(z - 1)*(z + 1)/9
Let c(o) be the third derivative of o**8/336 + o**7/210 - o**6/120 - o**5/60 - 8*o**2. Suppose c(w) = 0. Calculate w.
-1, 0, 1
Find v such that -v + 0*v**2 - 1/2*v**4 + 1/2 + v**3 = 0.
-1, 1
Let t(q) be the third derivative of -q**9/3024 - q**8/560 - q**7/280 - q**6/360 + q**3/2 + 5*q**2. Let p(n) be the first derivative of t(n). Factor p(k).
-k**2*(k + 1)**3
Let p be 292/18 - 4/18. Solve u**2 - 1 + 16*u - p*u - 3 = 0 for u.
-2, 2
Let s(a) = 2*a**2 + 5*a + 4. Let r be s(-2). Determine z, given that -2 - r*z - 1/2*z**2 = 0.
-2
Let l be ((-22)/10)/((-6)/(-14)). Let u = l + 16/3. Solve -2/5 + 1/5*i**2 + u*i = 0.
-2, 1
Let f(y) be the second derivative of -y**4/4 + y**3 - 8*y. Let f(n) = 0. What is n?
0, 2
Let q(k) be the third derivative of -k**6/1260 - k**5/420 + k**4/42 + 2*k**3/3 + 6*k**2. Let w(o) be the first derivative of q(o). What is y in w(y) = 0?
-2, 1
Let x = -17/360 - -3/40. Let i(r) be the third derivative of -1/180*r**6 + 0*r**5 + 0*r + 0 + x*r**4 + 0*r**3 - 3*r**2. Find f, given that i(f) = 0.
-1, 0, 1
Suppose 0 = -2*h - 2*d + 8, 0 = -2*h - 4*d + 20 - 4. Determine j, given that -3/2*j**4 - 3/2*j**3 - 1/2*j**5 + h*j - 1/2*j**2 + 0 = 0.
-1, 0
Factor 10/7*f - 6/7*f**2 + 4/7.
-2*(f - 2)*(3*f + 1)/7
Suppose -14*x**3 - 3*x - 16*x**3 + 6 - 6*x**2 + 33*x**3 = 0. What is x?
-1, 1, 2
Let t(r) be the second derivative of -r**6/360 + r**4/24 - r**3/6 - 3*r. Let p(d) be the second derivative of t(d). Factor p(z).
-(z - 1)*(z + 1)
Determine h so that -4/5*h**4 + 0 - 16/5*h**3 + 0*h - 12/5*h**2 = 0.
-3, -1, 0
Let n(w) = -4*w**3 - 12*w**2 + 4*w + 21. Let l(r) = -r**3 - 3*r**2 + r + 5. Let v(x) = 18*l(x) - 4*n(x). Suppose v(p) = 0. What is p?
-3, -1, 1
Suppose v + 36 + 28 = 0. Let t be 4 + 4/(v/36). What is h in -1/2*h + t*h**5 + 0 - 5/4*h**3 - 9/4*h**2 + 9/4*h**4 = 0?
-1, -2/7, 0, 1
Let v be (-2 + 3 + 0)/((-2)/(-4)). What is a in 2/5*a**v - 2/5*a + 0 = 0?
0, 1
Factor 4/5*h**3 - 3*h**2 + 4/5 + 12/5*h.
(h - 2)**2*(4*h + 1)/5
Determine o, given that -144*o**2 + 26*o**5 + 2*o + 74*o**5 + 180*o**4 - 104*o**3 - 34*o = 0.
-2, -2/5, 0, 1
Suppose -5*d = -20 + 90. Let f = d - -20. Factor -c**5 - 2*c**3 + f*c**3 - 3*c**3.
-c**3*(c - 1)*(c + 1)
Let i(v) be the first derivative of v**6/18 - v**4/6 + v**2/6 + 17. Find h, given that i(h) = 0.
-1, 0, 1
Let n(s) = s**5 - 5*s**3 + 4*s. Suppose -18 = -5*r + 2. Let h = r + -6. Let m(w) = w**5 - 4*w**3 + 3*w. Let z(v) = h*n(v) + 3*m(v). Suppose z(a) = 0. What is a?
-1, 0, 1
Let m(j) be the first derivative of -2*j + 0*j**3 + 1/60*j**5 + 0*j**4 + 1 + 0*j**2. Let t(n) be the first derivative of m(n). Factor t(f).
f**3/3
Let d(t) be the second derivative of -1/105*t**7 - 1/15*t**3 + 0*t**2 + 0*t**4 - t + 1/25*t**5 + 0 + 0*t**6. Factor d(b).
-2*b*(b - 1)**2*(b + 1)**2/5
Let t(l) be the third derivative of -l**5/24 - 5*l**4/6 - 14*l**2. Factor t(c).
-5*c*(c + 8)/2
Suppose 2*s + 4 - 2 = 0. Let q be s - 5/(15/(-12)). Factor 6*n**2 + n - 9*n + 2*n + 2 + n**q - 3*n**3.
-2*(n - 1)**3
Let h = -4 - -6. Suppose 10 = h*x + 3*x. Factor -4/7*r + 2/7*r**x + 2/7.
2*(r - 1)**2/7
Let m(g) be the second derivative of g**4/9 - 2*g**2/3 - g. Factor m(b).
4*(b - 1)*(b + 1)/3
Let w(s) = s**2 + 5*s + 2. Let u(j) = -j + 1. Let n(t) = -3*u(t) - 3*w(t). Determine p so that n(p) = 0.
-3, -1
Let i(a) = 5*a**5 - 2*a**4 - 5*a**3 + 5*a**2 + 3*a + 3. Let n(v) = -16*v**5 + 6*v**4 + 16*v**3 - 16*v**2 - 10*v - 10. Let c(t) = -10*i(t) - 3*n(t). Factor c(j).
-2*j**2*(j - 1)**2*(j + 1)
Let s(o) = 6*o**2 - 1. Let h be s(-1). What is x in 0*x**5 - 8*x**5 + 2*x**4 + x**3 + 9*x**h = 0?
-1, 0
Find x such that 10/3*x + 25/3 + 1/3*x**2 = 0.
-5
Let j(p) be the first derivative of p**8/210 - p**7/105 + p**6/300 - p**2 - 2. Let c(d) be the second derivative of j(d). Find v, given that c(v) = 0.
0, 1/4, 1
Let p be -1 - -1 - (1 - 5). Factor -g**2 + 0*g**2 - 3*g + 2*g**2 + p*g.
g*(g + 1)
Let m(f) be the third derivative of -1/42*f**5 - 1/12*f**4 + 2*f**2 + 0*f + 0 - 2/21*f**3. Solve m(v) = 0.
-1, -2/5
Suppose 17*i + 5 = 3*k + 19*i, 0 = 3*k - i - 11. Suppose -64/5 - 32/5*c - 208/5*c**k + 76/5*c**4 + 224/5*c**2 - 2*c**5 = 0. Calculate c.
-2/5, 2
Let n be -1 + (-4)/((-12)/39). Let v be n/4 - 0/(-3). Suppose -1 + 0*y**3 - 6 + v*y + 1 + 6*y**2 - 3*y**3 = 0. What is y?
-1, 1, 2
Let k(v) be the second derivative of -4*v**6/15 + 5*v**5/2 + 11*v**4/3 - 7*v**3/3 + 25*v. Find f, given that k(f) = 0.
-1, 0, 1/4, 7
Let p(v) be the third derivative of v**8/112 - 2*v**7/35 + v**6/8 - v**5/10 + 11*v**2. Factor p(a).
3*a**2*(a - 2)*(a - 1)**2
Let a be (-1)/((-4)/(-6) + -1). Let u = a - -2. Determine h, given that 6*h**3 - 2 + 10*h**2 - 4*h - 2*h - u*h**4 - 3*h**4 = 0.
-1, -1/4, 1
Let l(k) be the first derivative of -k**6/80 + k**4/16 - k**2 + 4. Let x(c) be the second derivative of l(c). Factor x(q).
-3*q*(q - 1)*(q + 1)/2
Let r(l) = -l**3 + 4*l**2 + 2*l + 4. Let c be r(5). Let o(k) = -k**2 - 12*k - 11. Let t be o(c). Factor 2/7*s**4 + 0 + t*s**2 + 0*s**3 + 0*s.
2*s**4/7
Determine c, given that 4*c**4 - 5*c - 2*c**4 + c - 2 + c**3 + 3*c**3 = 0.
-1, 1
Let t(x) be the second derivative of -7*x**4/20 - x**3/2 + 3*x**2/5 - 3*x. Factor t(f).
-3*(f + 1)*(7*f - 2)/5
Let l(u) be the first derivative of u**5/10 - 3*u**4/8 + u**3/2 - u**2/4 - 5. Factor l(w).
w*(w - 1)**3/2
Let q(g) = -g**3 + 8*g**2 + 9*g + 2. Suppose j = 3*p - j - 23, -p + 5 = -2*j. Let u be q(p). Factor 3*v + 3*v**3 - 9*v**2 - 3*v + 15*v**u.
3*v**2*(v + 2)
Let h = -82 + 86. Let f(n) be the third derivative of -1/156*n**h - 2*n**2 - 2/39*n**3 + 0*n + 1/390*n**5 + 0. Suppose f(c) = 0. What is c?
-1, 2
Let v(n) be the first derivative of 6 + 0*n**2 + 0*n - n**3 - 9/4*n**4 + 27/5*n**5 - 5/2*n**6. Factor v(z).
-3*z**2*(z - 1)**2*(5*z + 1)
Let o be -5 + (-30)/(-10) + 26/10. Factor 4*v**2 + o*v - 21/5*v**3 - 2/5.
-(v - 1)*(3*v + 1)*(7*v - 2)/5
Let l(w) be the third derivative of w**7/35 + w**6/40 - w**5/10 - w**4/8 - 6*w**2. Determine b, given that l(b) = 0.
-1, -1/2, 0, 1
Suppose -5*y + 3*y + 28 = 5*q, 0 = 5*y + q - 24. Let 2*r**2 - r**y + 4*r**2 + 0*r**2 - 2*r**4 - 3*r**3 = 0. What is