 l(y) = -y**2 + y - 1. Let k(n) = r*t(n) + 5*l(n). Determine c so that k(c) = 0.
-2, -1, 0, 1
Suppose 0*t = -r - 5*t + 15, -3*t - 19 = -5*r. Let q(k) = -8*k**3 + 3*k - 5. Let w(z) = 20*z**3 - 8*z + 12. Let v(b) = r*w(b) + 12*q(b). Factor v(p).
4*p*(p - 1)*(p + 1)
Let w be 25/550*0/19. Suppose 0*f - 1/8*f**3 + 1/4*f**4 + 0 - 1/8*f**5 + w*f**2 = 0. Calculate f.
0, 1
Let k(c) be the third derivative of c**7/1785 + c**6/85 - 14*c**5/255 - 180*c**2. Factor k(o).
2*o**2*(o - 2)*(o + 14)/17
Let y(i) be the second derivative of 0*i**3 + 0*i**2 + 1/40*i**5 - 1/8*i**4 + 3 + 3*i - 1/84*i**7 + 1/20*i**6. Let y(c) = 0. What is c?
-1, 0, 1, 3
Let n(t) = 5*t**5 - 14*t**4 + 26*t**3 + 10*t**2 - 25*t + 16. Let w(k) = -k**4 - k**3 - 1. Let h(m) = -n(m) - 6*w(m). Suppose h(f) = 0. What is f?
-1, 1, 2
Suppose 3*p - 4*y + 35 = 0, -4*p - y = 17 - 2. Let d be ((-20)/(-3))/p*6/(-28). Factor 0 + 0*n + d*n**3 + 0*n**2.
2*n**3/7
Let x = 43682 - 43680. Factor -x*y**2 - 1/2*y**3 + 1/2*y + 2.
-(y - 1)*(y + 1)*(y + 4)/2
Let s(o) be the first derivative of -o**4/48 + o**3/12 + 3*o**2/8 - 41*o + 16. Let i(y) be the first derivative of s(y). Factor i(c).
-(c - 3)*(c + 1)/4
Let s(d) be the second derivative of -d**5/5 + 11*d**4/3 - 64*d**3/3 + 56*d**2 - d - 6. Factor s(j).
-4*(j - 7)*(j - 2)**2
Let u(x) = -25*x**2 - 2 + 29*x**2 + 6. Let i be u(-2). Factor -i*d + 15 + d**2 + 5*d**2 - d**2.
5*(d - 3)*(d - 1)
Let i(t) be the third derivative of 0 - 1/66*t**4 - 1/33*t**3 - 3*t**2 - 1/330*t**5 + 0*t. Factor i(n).
-2*(n + 1)**2/11
Let n be 8/(-5)*(-1 + (-70)/(-168)). What is i in 4/15*i**3 - 16/15*i**2 + n*i - 2/15*i**5 + 4/15*i**4 - 4/15 = 0?
-2, 1
Let y(j) be the third derivative of j**5/15 - j**4/6 + 9*j**2. Let t(s) = s**2. Let u(k) = -2*t(k) + y(k). Suppose u(z) = 0. What is z?
0, 2
Let x(b) = -3*b**2 + 16*b - 30. Let h(c) = -39*c**2 + 207*c - 393. Let t(u) = 2*h(u) - 27*x(u). Factor t(j).
3*(j - 4)*(j - 2)
Suppose -4*x = 2*w + 153 - 175, 5*w - 2*x - 7 = 0. Let 0 + 0*q**w - 9/8*q**2 + 3/8*q**4 - 3/4*q = 0. Calculate q.
-1, 0, 2
Suppose -z + 1 = -o, 0*o = -4*o + 3*z. Let q(w) = 7*w**2 - 10*w + 5. Let h(v) = 8*v**2 - 10*v + 5. Let c(p) = o*q(p) - 2*h(p). Let c(s) = 0. What is s?
1
Let d(s) be the third derivative of s**8/15120 - s**7/378 + 5*s**6/108 - s**5/12 + 9*s**2. Let b(l) be the third derivative of d(l). Find j such that b(j) = 0.
5
Let c(g) = g**3 + g**2 - 12*g + 12. Let j be c(2). Find q such that j + 0*q + 1/8*q**2 = 0.
0
Suppose -2*u + 4*v = -126 + 20, 88 = 2*u + 5*v. Let -6 - 3*w**2 + 6*w**2 + 52*w - u*w = 0. Calculate w.
-2, 1
Suppose 3 = 6*m - 7*m. Let s(t) = 2*t**4 + 5*t**3 - 42*t**2 + 58*t - 17. Let q(b) = -b**4 + b**2 + b + 1. Let v(p) = m*q(p) + s(p). Let v(k) = 0. Calculate k.
-4, 1
Find x such that -1/6 + 1/6*x**5 - 1/2*x - 1/3*x**2 + 1/3*x**3 + 1/2*x**4 = 0.
-1, 1
Let b be (-6 - -3)/((-1)/3). Let v be (198/(-55) - 3/(-5)) + 23. Find d, given that -15*d + 3*d**3 + 6*d**4 - v*d**4 + 11*d**4 + b*d**2 + 6 = 0.
-2, 1
Solve -15/4*j**4 - 225/2*j**2 - 120*j - 40 - 145/4*j**3 = 0.
-4, -1, -2/3
Suppose -10 = a + 2. Let f be ((-3)/(-4))/((-3)/a). Factor 3*m**2 - m**f + 4*m**4 + 0*m**2 + m - 5*m**4 + 0 - 2.
-(m - 1)**2*(m + 1)*(m + 2)
Let j(p) be the first derivative of p**7/210 - p**6/30 + p**5/60 + p**4/4 + 19*p**2/2 - 14. Let o(d) be the second derivative of j(d). Factor o(t).
t*(t - 3)*(t - 2)*(t + 1)
Let x(z) be the third derivative of -z**6/72 - 11*z**5/36 - 95*z**4/72 - 5*z**3/2 + 170*z**2. Factor x(d).
-5*(d + 1)**2*(d + 9)/3
Let b(i) = i**3 - 7*i**2 - 7*i + 4. Let n be b(8). Suppose 4*y + n = h, 7*h + 3*y - 14 = 2*h. Factor -5*l + 2*l**2 + 5*l + h + 0*l + 6*l.
2*(l + 1)*(l + 2)
Let q = 3/5 - 3/55. Find p such that -4/11 + 4/11*p**2 - q*p = 0.
-1/2, 2
Let a(j) be the first derivative of 2/3*j**2 - 8/9*j - 4/27*j**3 - 34. Suppose a(q) = 0. Calculate q.
1, 2
Let c(i) be the second derivative of 0*i**3 + 1/48*i**4 - 4*i + 0 + 1/240*i**5 + 3/2*i**2. Let n(x) be the first derivative of c(x). Let n(p) = 0. Calculate p.
-2, 0
Suppose -2*j - 3*i + 8*i = 1, -4*i = -5*j + 6. Suppose -5*c + 8 - 4*c**j - 3 - 3 - c**3 - 4 = 0. What is c?
-2, -1
Let j(s) be the second derivative of 2*s**7/189 - s**6/45 - 19*s**5/90 + s**4/3 + 44*s**3/27 - 8*s**2/3 - 515*s. Determine h, given that j(h) = 0.
-2, 1/2, 2, 3
Let g(d) be the first derivative of 2/13*d**3 - 16 + 0*d + 2/39*d**6 - 2/13*d**4 - 6/65*d**5 + 2/13*d**2. Find a such that g(a) = 0.
-1, -1/2, 0, 1, 2
Let n(m) be the second derivative of -m**5/12 - 5*m**4/4 - 15*m**3/2 + m**2 + 8*m. Let v(y) be the first derivative of n(y). Solve v(c) = 0 for c.
-3
Let x(s) = 12*s**4 - 20*s**3 - 24*s**2 - 16*s - 32. Let q(v) = -v**4 + v + 2. Let y(n) = 16*q(n) + x(n). Factor y(i).
-4*i**2*(i + 2)*(i + 3)
Let t(y) = y**2 + y + 1. Let b be t(-2). Determine h, given that -2*h - h**3 + 39*h**2 + b*h + 2 + 0*h**3 - 41*h**2 = 0.
-2, -1, 1
Let b(j) = 9*j**2 - 2*j - 2. Let u be b(-1). Find q such that -24*q - 19 + 172 + q**2 - u = 0.
12
Let y be (-70)/30*16/(-56). Let s(a) be the second derivative of 2/15*a**6 + 0 - 1/5*a**5 + 0*a**2 - 3*a + y*a**3 - 1/3*a**4. Factor s(o).
4*o*(o - 1)**2*(o + 1)
Let n(t) be the first derivative of -9 - 1/2*t**3 + 0*t**2 + 1/4*t**4 - 8*t. Let u(j) be the first derivative of n(j). Find l, given that u(l) = 0.
0, 1
Let i be 0/(4 + -1 - 1). Let z(t) be the second derivative of -57/80*t**5 + i - 5*t - 7/40*t**6 + 3/4*t**2 - 15/16*t**4 - 1/8*t**3. Find f such that z(f) = 0.
-1, 2/7
Let m = -336 - -339. Let f(i) be the first derivative of 2 + 2/3*i + 1/2*i**2 + 0*i**m - 1/12*i**4. Solve f(s) = 0 for s.
-1, 2
Let a(i) be the second derivative of i**8/252 - i**6/45 + i**4/18 - 7*i**2/2 + 3*i. Let z(x) be the first derivative of a(x). Factor z(f).
4*f*(f - 1)**2*(f + 1)**2/3
Factor -180/7*d - 4/7 - 176/7*d**2.
-4*(d + 1)*(44*d + 1)/7
Let k(y) be the second derivative of -y**4/18 - 10*y**3/9 - 25*y**2/3 + y - 24. Let k(x) = 0. What is x?
-5
Let z(w) = -11*w - 6. Let u be z(-2). Suppose u*q = 13*q + 6. Suppose 4/3*f**5 + 2/3*f**q + 0 - 2*f**3 + 2/3*f - 2/3*f**4 = 0. What is f?
-1, -1/2, 0, 1
Let d be 1 - 6/3 - -3. Factor 13*y - 6*y**2 - 3*y - y**d + 2*y**2.
-5*y*(y - 2)
Let q(p) be the second derivative of -p**6/10 - 51*p**5/10 - 289*p**4/4 + p + 32. Factor q(u).
-3*u**2*(u + 17)**2
Let x be ((-1)/(-1) + -1)*(-3)/9. Suppose 73*d - 69*d - 12 = x. Suppose 1/3*q**d + 0 + 0*q - 1/3*q**2 = 0. Calculate q.
0, 1
Factor 67*d + 172*d**3 - 392 + 636*d**2 + 17*d - 200*d**4 + 212*d**4.
4*(d + 1)*(d + 7)**2*(3*d - 2)
Let a be (-3 + 36)*1 + 6/(-2). Let g be a/75 - (-6)/10. Factor -3/2*z + 5/2*z**2 - g.
(z - 1)*(5*z + 2)/2
Let f(r) be the third derivative of r**5/36 + 35*r**4/3 + 1960*r**3 - 2*r**2 - 13. Determine p so that f(p) = 0.
-84
Factor 0 - 2/9*p**4 + 16/9*p - 8/3*p**2 + 4/3*p**3.
-2*p*(p - 2)**3/9
Suppose -9*n = -13*n + 12. Solve 10*p**n + 5*p**4 - 29*p**3 + 14*p**3 + 5*p - 5*p**2 = 0.
-1, 0, 1
Let q(a) be the second derivative of 3*a**5/100 - a**4/5 - 11*a**3/10 - 9*a**2/5 + 2*a - 115. Suppose q(n) = 0. What is n?
-1, 6
Let i be (171 - 155) + (-49)/4. Factor 5 + 0*h - i*h**2 - 5/4*h**3.
-5*(h - 1)*(h + 2)**2/4
Let j(p) be the second derivative of -5*p**7/42 - p**6/6 + 5*p**5/4 + 25*p**4/12 - 10*p**3/3 - 10*p**2 - 124*p. Let j(m) = 0. What is m?
-2, -1, 1, 2
Let m(v) = -3*v**2 + 61*v - 18. Suppose -w + 0*w = 2, 5*j - 92 = -4*w. Let f be m(j). Determine z, given that -40/9*z - 8/9 - 50/9*z**f = 0.
-2/5
Let x(n) be the second derivative of n**4/36 - 5*n**3/9 - 155*n. Suppose x(b) = 0. What is b?
0, 10
Let c(o) be the third derivative of -55/4*o**4 + 0*o + 8*o**2 - 3/70*o**7 + 0 - 17/20*o**6 - 29/5*o**5 - 25/2*o**3. Solve c(h) = 0.
-5, -1, -1/3
Factor 70*h**2 + 539 + 545 - 74*h - 1072.
2*(5*h - 1)*(7*h - 6)
Let f(k) be the third derivative of k**7/504 - k**6/36 + k**5/6 - 5*k**4/9 + 3*k**3/2 + k**2. Let y(d) be the first derivative of f(d). Let y(x) = 0. What is x?
2
Let l(k) be the third derivative of k**7/3360 - k**6/720 + k**5/480 + 4*k**3/3 + 16*k**2. Let b(c) be the first derivative of l(c). Factor b(s).
s*(s - 1)**2/4
Let l be (-12)/(-9)*4*105/70. Let h(q) be the second derivative of 0*q**2 - 2/15*q**6 + 2/3*q**4 + 1/5*q**5 - l*q + 0*q**3 + 0. Solve h(c) = 0 for c.
-1, 0, 2
Let o(y) = y**3 + 20*y**2 - 108*y - 7. Let m(q) = q**3 +