 42*i**2 + 22*i - 8.
-2*(i - 3)*(i + 1)*(5*i - 2)
Let d(r) be the second derivative of r**7/63 + r**6/27 - r**5/18 - 5*r**4/54 + 2*r**3/27 - 7*r. Let d(w) = 0. Calculate w.
-2, -1, 0, 1/3, 1
Let a = 98/29 + -1708/145. Let c = -116/15 - a. Factor 1/3*o**2 - c + 1/3*o.
(o - 1)*(o + 2)/3
Let d(r) be the second derivative of -r**8/13440 + r**6/1440 + 7*r**4/12 - 4*r. Let h(q) be the third derivative of d(q). Solve h(c) = 0.
-1, 0, 1
Suppose 0*h + 0 - 3/5*h**2 - 3/5*h**4 + 6/5*h**3 = 0. What is h?
0, 1
Let k(v) be the second derivative of v**7/1680 - v**6/720 - v**5/240 + v**4/4 + v. Let p(n) be the third derivative of k(n). Factor p(b).
(b - 1)*(3*b + 1)/2
Suppose -7*k - 31 = -52. Determine g so that 0 + 4*g**k + 2/3*g + 11/3*g**2 = 0.
-2/3, -1/4, 0
Let h(a) be the second derivative of a**5/10 - 7*a**4/30 + 2*a**3/15 + 5*a. Let h(t) = 0. Calculate t.
0, 2/5, 1
Let q = -5 - -8. Let 6*u**2 + 0*u**4 - 2*u**3 - 8 - 5*u**q + 8*u + 3*u**3 - 2*u**4 = 0. Calculate u.
-2, 1
Let t(c) be the second derivative of 4*c + 0 - 1/42*c**4 - 2/7*c**3 - 9/7*c**2. Factor t(d).
-2*(d + 3)**2/7
Let -9*j**3 - j**2 + 4*j + 3*j**2 + 7*j**3 = 0. What is j?
-1, 0, 2
Find j, given that -2/7*j**3 + 2/7*j**2 - 2/7 + 2/7*j = 0.
-1, 1
Let m(t) be the third derivative of t**8/90720 - t**7/3780 + t**6/360 + t**5/30 + 8*t**2. Let v(k) be the third derivative of m(k). What is q in v(q) = 0?
3
Let i be (5/75)/((-18)/(-90)). Let 0 + 1/3*q**3 - 1/3*q + 1/3*q**2 - i*q**4 = 0. Calculate q.
-1, 0, 1
Let u = -1238/3 + 23456/57. Let s = -160/171 - u. Suppose -2/3*m**2 - 2/3*m - s*m**3 - 2/9 = 0. Calculate m.
-1
Let -2/9*c**4 + 0 + 8/9*c**2 + 2/9*c**3 - 8/9*c = 0. Calculate c.
-2, 0, 1, 2
Let o(v) = -4*v**3 + 3*v - 4. Let w be o(3). Let m = 929/9 + w. Let -8/9*z**2 + 4/9*z - 16/9*z**3 + m = 0. What is z?
-1/2, 1/2
Suppose 45/2*d**3 - 9 - 6*d**5 + 39/2*d + 123/2*d**2 - 33/2*d**4 = 0. What is d?
-3, -1, 1/4, 2
Let u(x) be the second derivative of -1/3*x**4 + 1/5*x**5 + 0*x**2 + 0 - 4/3*x**3 + 6*x. Factor u(j).
4*j*(j - 2)*(j + 1)
Factor 10*o**3 + 3*o + o**2 - 11*o**3 - 3*o.
-o**2*(o - 1)
Let x(k) be the third derivative of k**10/50400 - k**9/20160 - k**8/6720 + k**7/1680 - k**5/20 - 4*k**2. Let s(z) be the third derivative of x(z). Factor s(a).
3*a*(a - 1)**2*(a + 1)
Let n(v) be the first derivative of -v**6/120 - v**5/60 + v**4/24 + v**3/6 + 3*v**2/2 + 4. Let r(c) be the second derivative of n(c). Factor r(y).
-(y - 1)*(y + 1)**2
Let d be 13/(-130)*2*(1 - 2). Solve 2/5*s - 1/5*s**3 + 0 + d*s**2 = 0 for s.
-1, 0, 2
Let k = 0 - 0. Suppose -p + 1 = 4*y - k, 24 = 4*p - 4*y. Determine u, given that 0*u**2 + 0 - u**4 + 1/2*u**3 + 1/2*u**p + 0*u = 0.
0, 1
Let i(h) = 76*h**3 + h**2 - h + 1. Let j be i(1). Solve -j*c**2 - 40*c**4 + 5*c + 86*c**3 + 14*c - 2 + 14*c**2 = 0.
1/4, 2/5, 1/2, 1
Let n(j) = 2*j - 2. Let z be n(2). Let q(t) = -t**3 - 8*t**2 + 8*t - 5. Let u be q(-9). Factor 3*c - 2*c**2 - u*c + 4*c - 2*c**z + 1.
-(c - 1)*(4*c + 1)
Let y(v) = -65*v**5 - 9*v**4 + 79*v**3 + 16*v**2 - 7*v. Let w(t) = 33*t**5 + 5*t**4 - 39*t**3 - 8*t**2 + 3*t. Let d(j) = -7*w(j) - 3*y(j). Solve d(m) = 0.
-1, -2/9, 0, 1
Let k = -29 - -31. Let h(b) be the third derivative of 0*b + k*b**2 + 0*b**4 + 0*b**3 + 1/80*b**5 + 0. Factor h(p).
3*p**2/4
Let x(r) be the third derivative of -1/6*r**3 - 1/210*r**7 + 1/30*r**5 + 0*r + 0 + 1/60*r**6 - 1/24*r**4 - 8*r**2 - 1/336*r**8. Factor x(g).
-(g - 1)**2*(g + 1)**3
Suppose 25 + 7 = 4*h. Find z, given that -h*z**2 + 3*z - 3*z**3 - 6*z + 2*z**2 = 0.
-1, 0
Let z = 4 - 2. Let v(x) = 2*x**2 - 4*x + 2. Let g be v(2). Find y such that 4*y + 0*y**2 - 7 + 5 - g*y**z = 0.
1
Let p be (-1)/(1/6*2). Let m = p + 6. Find l such that 0 - 2/3*l + 2/3*l**4 + 2/3*l**m - 2/3*l**2 = 0.
-1, 0, 1
Find z, given that -32/7*z**2 - 8/7*z + 0 - 10/7*z**3 + 2*z**4 = 0.
-1, -2/7, 0, 2
Let y(r) be the third derivative of -r**7/6300 - r**6/900 - r**5/300 - r**4/12 + 3*r**2. Let b(u) be the second derivative of y(u). What is x in b(x) = 0?
-1
Let p(a) be the first derivative of 0*a**2 - 2/13*a - 6 + 6/65*a**5 - 4/13*a**4 + 4/13*a**3. Find t, given that p(t) = 0.
-1/3, 1
Let a = -7 - -12. Suppose -a*g - 4*u = 0, g - 4*g - 5*u = 0. Let -3/2*v**5 - 7/2*v**4 - 5/2*v**3 - 1/2*v**2 + g + 0*v = 0. Calculate v.
-1, -1/3, 0
Let b(q) be the second derivative of q - 1/30*q**5 + 0 + 0*q**2 + 1/18*q**4 + 0*q**3. Factor b(t).
-2*t**2*(t - 1)/3
Let x(k) be the third derivative of -k**6/180 + k**5/45 + 3*k**2. Suppose x(l) = 0. Calculate l.
0, 2
Factor -6*x + 9*x**2 - 9*x**2 + 2*x**2.
2*x*(x - 3)
Let t(i) be the third derivative of -1/2*i**3 + 0*i + 5/8*i**4 + 0 - 5/16*i**5 - 2*i**2. What is d in t(d) = 0?
2/5
Let u(y) = y**3 + y**2 - y - 1. Let a(x) = 2*x**5 - 6*x**4 + 22*x**3 + 22*x**2 - 24*x - 16. Let i(z) = 2*a(z) - 36*u(z). Suppose i(v) = 0. Calculate v.
-1, 1
Factor -15/7*x**2 - 9/7 - 3/7*x**3 - 3*x.
-3*(x + 1)**2*(x + 3)/7
Let r(u) be the third derivative of u**7/42 - 5*u**6/12 + 2*u**5 + 25*u**4/12 - 125*u**3/6 - 24*u**2. Determine j so that r(j) = 0.
-1, 1, 5
Let z = 54 - 53. Let v(n) be the first derivative of -1/4*n**3 + 3/8*n**2 + 0*n - z. Suppose v(k) = 0. What is k?
0, 1
Let t be (6*(0 + -3 - -4))/2. Solve 4/7 + 4/7*s**4 - 2/7*s**5 - 8/7*s**2 + 4/7*s**t - 2/7*s = 0.
-1, 1, 2
Let u(o) be the second derivative of -o**4/6 + o**3/3 + 26*o. Factor u(k).
-2*k*(k - 1)
Let b(q) = 5*q**3 - 5*q - 4. Let d(r) = -8 + 9*r**3 - 11*r + 1 + 2*r. Let s(x) = -7*b(x) + 4*d(x). Find n, given that s(n) = 0.
-1, 0, 1
Let b(n) = n**3 + 4*n**2 + 2*n + 1. Let j be b(-3). Suppose l - j = -1. Factor 0*u**2 - 2/9*u**l + 2/3*u - 4/9.
-2*(u - 1)**2*(u + 2)/9
Let z be 2/((-12)/(-42) - 16/(-42)). Let y(c) be the third derivative of 0 + 1/9*c**3 - 1/180*c**6 - 1/90*c**5 - z*c**2 + 1/36*c**4 + 0*c. Factor y(w).
-2*(w - 1)*(w + 1)**2/3
Let f(u) = -4*u**2 + 2. Let s = 7 - 14. Let a = -9 - s. Let w(r) = r**3 + r**2 - 1. Let l(k) = a*w(k) - f(k). Factor l(n).
-2*n**2*(n - 1)
Let m(s) = -s**2 - 8*s + 2. Let g be (6/5)/((-6)/40). Let w be m(g). Factor 4 - 3 + 6*x - 6*x**4 + 4*x**w + 1 - 4*x**3 - 2*x**5.
-2*(x - 1)*(x + 1)**4
Let h(o) be the third derivative of 1/18*o**3 - 1/360*o**6 + 0*o - 2*o**2 + 1/60*o**5 - 1/24*o**4 + 0. Factor h(i).
-(i - 1)**3/3
Factor 2*y**3 + 3*y**3 - 3*y**3 - y**3 + 2*y**2.
y**2*(y + 2)
Let b(k) be the first derivative of -k**4/14 - 4*k**3/21 + 3*k**2/7 + 12. Find j, given that b(j) = 0.
-3, 0, 1
Suppose -p + 13 = -2*u, 5*u = -0*p + p - 28. Factor 2*d**4 + d**3 + 2*d**3 - d**p.
2*d**3*(d + 1)
Let m be -163 + 1 - (-4)/4. Let s = m + 1129/7. Factor 2/7 - s*j**3 - 6/7*j + 6/7*j**2.
-2*(j - 1)**3/7
Let j(i) = -5*i**2 - 8*i - 2. Let n(d) = -4 + 1 - 9*d + 3*d**2 - 9*d**2. Let u(v) = 3*j(v) - 2*n(v). Determine y, given that u(y) = 0.
-2, 0
Let r(l) be the second derivative of 0*l**3 - 2/35*l**5 + 1/210*l**6 - 2*l - 27/14*l**2 + 0 + 3/14*l**4. Find c such that r(c) = 0.
-1, 3
Suppose -5 = -5*b + 5. Let k(l) = 13*l**2 - l. Let z be k(1). Factor -z + 2*f**3 + b*f**2 + 12.
2*f**2*(f + 1)
Let x(s) be the second derivative of 2*s + 0 + 0*s**2 - 1/7*s**7 - 6/5*s**5 - s**4 - 2/3*s**6 - 1/3*s**3. What is l in x(l) = 0?
-1, -1/3, 0
Factor n**4 + 3*n**3 + 2*n + 6*n**2 - n**3 - n**2 + 2*n**3.
n*(n + 1)**2*(n + 2)
Let t be 2/(4/(-1))*-6. Suppose 2*j = -t*j - a + 16, -2*a = -5*j + 28. Factor 6/5*h**2 + 2/5*h**j + 0 + 6/5*h**3 + 2/5*h.
2*h*(h + 1)**3/5
Let w(m) be the first derivative of -m**6/60 + m**5/40 + 3*m + 4. Let q(f) be the first derivative of w(f). Solve q(c) = 0 for c.
0, 1
Let n(y) be the first derivative of y**7/147 + 4*y**6/105 + 3*y**5/35 + 2*y**4/21 + y**3/21 + 3*y - 3. Let c(s) be the first derivative of n(s). Factor c(x).
2*x*(x + 1)**4/7
Let w(p) = 2*p**2 + 20 + 26*p**3 - 38*p + 4*p**3 - 6*p**2. Let g(m) = 0*m**3 - m**2 + 0 + 7 - 13*m + 10*m**3. Let v(r) = 8*g(r) - 3*w(r). Factor v(x).
-2*(x - 1)*(x + 1)*(5*x - 2)
Let d(y) = -2*y**4 - y**3 - 7*y**2 + 5. Let r(k) be the first derivative of -k**5/5 - k**4/4 - 4*k**3/3 + 3*k - 8. Let x(j) = -3*d(j) + 5*r(j). Solve x(o) = 0.
0, 1
Let r(m) be the first derivative of m**4/16 + m**3/3 + m**2/2 + 10. Factor r(v).
v*(v + 2)**2/4
Let u(i) = i**2 + 9*i + 2. Let s be u(-9). Let v be s/9 - 25/(-90). Find q such that 1/2 - q**2 + 0*q**3 + 0*q + v*q**4 = 0.
-1, 1
Factor 3/4 + 9/4*l**2 - 9/