- 36 - 25*p - 9*p + 34*p = 0. Calculate p.
-3, 3
Let y(w) = -w**2 - w + 5. Let h be y(2). Let d be -2*(h/(-4) + -1). Factor 0*p - d*p**3 + 0 + 1/2*p**2.
-p**2*(3*p - 1)/2
Let i(w) be the second derivative of 1/7*w**2 + 0 - 1/42*w**4 + 0*w**3 + 7*w. Let i(j) = 0. Calculate j.
-1, 1
Let r = -16/9 - -20/9. Let n = -1/260 + 529/2340. Let 0 - 2/9*j**2 - r*j**3 + n*j = 0. What is j?
-1, 0, 1/2
Let c(f) = 4*f**3 + 13*f**2 + 9*f. Let y(u) = -10*u**3 - 32*u**2 - 22*u. Let l(p) = -12*c(p) - 5*y(p). Determine q, given that l(q) = 0.
-1, 0
Let b(s) = -27*s**5 + 8*s**4 + 27*s**3 - 12*s**2 + 2. Let z(x) = -55*x**5 + 15*x**4 + 55*x**3 - 25*x**2 + 5. Let v(u) = 5*b(u) - 2*z(u). Solve v(p) = 0.
-1, 0, 2/5, 1
Let l(n) be the second derivative of -5/24*n**4 - 1/4*n**3 + 3*n + 1/2*n**2 + 0. Let l(p) = 0. What is p?
-1, 2/5
Let m(c) be the first derivative of 0*c + 0*c**2 + 0*c**3 - 1/14*c**4 - 1. Factor m(b).
-2*b**3/7
Let r be 5/6 - (-42)/(-63). Let j(a) be the first derivative of -1/9*a**3 - r*a**2 + 0*a - 2. Solve j(y) = 0.
-1, 0
Let a(i) be the first derivative of -3 - 3/2*i**2 + 2*i**3 + 3/2*i**4 - 3*i - 1/2*i**6 - 3/5*i**5. Let a(s) = 0. Calculate s.
-1, 1
Let l(d) be the first derivative of d**3/6 - 5*d**2/2 + 25*d/2 - 7. Factor l(u).
(u - 5)**2/2
Let x be ((-10)/6)/((-1)/3). Suppose -3*b**4 + 4*b**4 + 2*b**2 + b**x - 3*b**4 + 0*b**2 - b = 0. Calculate b.
-1, 0, 1
Let n(x) be the first derivative of x**4/6 - 2*x**3/3 + x**2 + 4*x - 1. Let l(k) be the first derivative of n(k). Find w, given that l(w) = 0.
1
Let n = -7/10 - -11/15. Let m(w) be the third derivative of -1/30*w**5 - 1/105*w**7 + 0*w**4 - 2*w**2 + 0*w + 0 - n*w**6 + 0*w**3. Determine x so that m(x) = 0.
-1, 0
Let i(k) be the third derivative of k**6/900 - k**5/150 - k**4/20 + 5*k**3/6 - 3*k**2. Let y(n) be the first derivative of i(n). Factor y(z).
2*(z - 3)*(z + 1)/5
Let g be 12*(0 - (-3)/6). Determine i so that i**2 + i**3 + g*i**4 - 4*i**4 - i**2 + i**5 = 0.
-1, 0
Let j(l) = -9*l**2 - 7*l - 1 - 3 - 1 - 7*l**3. Let k(p) = -5*p - 6*p - 11*p**3 - 4 - 14*p**2 - 4. Let r(y) = -8*j(y) + 5*k(y). Determine t, given that r(t) = 0.
-1, 0
Let w be (-4)/(-20) - 14/(-5). Solve -8*x**w + x**3 + 3*x + 4*x**3 = 0.
-1, 0, 1
Let n(s) = -s**3 + s**2 + 1. Let w(o) = -3*o**3 + 3*o**2 + o + 7. Let d(t) = -2*n(t) + w(t). Let m be d(0). Solve -4*u**4 + 2 - 2*u**m - 2 - 2*u**3 = 0.
-1, 0
Let p(t) be the third derivative of -t**5/150 + t**3/15 - 16*t**2. Factor p(d).
-2*(d - 1)*(d + 1)/5
Let l = 185 - 183. Suppose -3*v + 6*c = c + 15, 9 = -3*v + 3*c. Suppose 1/3*y**l + v + 2/3*y = 0. What is y?
-2, 0
Let a(k) = 9*k**4 + k**3 - 9*k**2 - k. Let f(z) = 13*z**4 + z**3 - 13*z**2 - z. Let j(p) = -7*a(p) + 5*f(p). Factor j(s).
2*s*(s - 1)**2*(s + 1)
Let o = 1 - -2. Let -4 + 5*m**2 + 2*m**o - 10*m + 2*m**4 - 11*m**2 + 2 - 2 = 0. Calculate m.
-1, 2
Find r such that 2/5*r**2 + 4/5*r + 2/5 = 0.
-1
Suppose -3*z = -3, -2*q + 3*z = 2*q + 3. Let a(o) be the first derivative of 3 + 0*o**2 + q*o**3 + 0*o - 1/7*o**6 + 2/35*o**5 + 0*o**4. Factor a(l).
-2*l**4*(3*l - 1)/7
Factor -2/3 + 1/3*h + 1/3*h**2.
(h - 1)*(h + 2)/3
Suppose -b = -2*b - 1. Let r be 3*((-6)/(-3) + b). Factor q + 2*q**3 - r*q + 0*q**3 - q**4 + 0*q + 1.
-(q - 1)**3*(q + 1)
Let p(n) be the first derivative of -n**4/36 - n**3/27 + n**2/18 + n/9 + 21. Factor p(v).
-(v - 1)*(v + 1)**2/9
Let z(m) = -4*m**3 - 6*m**2 + 3*m + 4. Let b(a) = -7*a - 8 + 9*a**3 + 1 - 1 + 13*a**2 + 0. Let t(o) = -3*b(o) - 7*z(o). Let t(u) = 0. Calculate u.
-2, 1
Let a(d) be the first derivative of d**5/15 - 7*d**4/24 - d**3/3 - 2*d**2 - 1. Let z(v) be the second derivative of a(v). Let z(m) = 0. Calculate m.
-1/4, 2
Let j(u) be the first derivative of u**4/48 - u**3/12 + u**2/8 - 2*u + 1. Let p(t) be the first derivative of j(t). Factor p(d).
(d - 1)**2/4
Determine w, given that -1/2*w + 0*w**4 + 5/8*w**3 + 0*w**2 + 0 - 1/8*w**5 = 0.
-2, -1, 0, 1, 2
Let s(k) be the first derivative of 5*k**4/12 + 10*k**3/9 + 5*k**2/6 - 7. Find w such that s(w) = 0.
-1, 0
Let k(i) be the first derivative of i**6/1440 - i**5/160 - i**3/3 + 7. Let o(f) be the third derivative of k(f). Factor o(z).
z*(z - 3)/4
Let j(b) = b - 5. Let o be j(7). Suppose 3*z = -o*z - 3*m + 22, 2*z - 3*m = -8. Factor -5*i**2 + 2*i**3 + i**2 + 6*i**z - 2*i**4 - 2*i**5.
-2*i**2*(i - 1)*(i + 1)**2
Let i(t) be the second derivative of t**6/40 - t**5/40 - t**4/16 + t**3/12 + 7*t. Determine v, given that i(v) = 0.
-1, 0, 2/3, 1
Let n(w) = -w**3 + 3*w**2 + w + 1. Let b(d) = d**3 - 3*d**2 - 1. Let z(y) = 4*b(y) + 3*n(y). Factor z(t).
(t - 1)**3
Let p = 47 + -233/5. Suppose -1/5 - 1/5*i**2 - p*i = 0. What is i?
-1
Let l(i) = -6*i**3 - 5*i**2 + 3*i. Let r(b) = -31*b**3 - 26*b**2 + 16*b. Let q be (20/10)/((-2)/(-2)). Let t(h) = q*r(h) - 11*l(h). Factor t(o).
o*(o + 1)*(4*o - 1)
Let k = 15 + -11. Let g(w) be the second derivative of w + 0 - 1/30*w**k + 0*w**3 + 1/5*w**2. Factor g(i).
-2*(i - 1)*(i + 1)/5
Let f be (-2)/(18/37) + 5. Determine a, given that -4*a**2 - f*a + 16/9 + 2/9*a**3 + 2/3*a**5 + 20/9*a**4 = 0.
-2, -1, 2/3, 1
Let t = -10 + 12. Let f(i) be the second derivative of 1/20*i**5 + 0 + 1/6*i**3 - 1/6*i**4 + t*i + 0*i**2. Determine z so that f(z) = 0.
0, 1
Let v(d) = d**3 + 3*d**2 + 2. Let p be v(-3). Let f be (3 + (-25)/9)*p. Factor -2/9*r**2 + 0 - f*r.
-2*r*(r + 2)/9
Suppose -f = -4*q - 0*q + 10, -5*f = -3*q + 16. Factor 2*a**2 + 3 + 4*a**q - 5 - 4*a**2.
2*(a - 1)*(a + 1)
Let v be (-7 + 7)*(-2 - 3/(-2)). Solve v - 1/4*r**4 - 1/4*r**3 + 1/4*r + 1/4*r**2 = 0 for r.
-1, 0, 1
Let i(c) be the third derivative of 3/8*c**4 + 1/3*c**3 + 4/15*c**5 + 7/60*c**6 + 0 - 3*c**2 + 1/35*c**7 + 1/336*c**8 + 0*c. Factor i(n).
(n + 1)**4*(n + 2)
Let w be ((-30)/4)/(3/(-18)). Let 3 - 3 + 39*z**4 - 8*z**2 + z**5 - w*z**4 + 12*z**3 = 0. Calculate z.
0, 2
Find s such that -9*s**2 + 6*s**3 - 6*s - 3*s**3 - 6*s + 0*s**3 = 0.
-1, 0, 4
Suppose -19 = -4*w + 1. Factor -26 - v + w*v + 22 - v**2.
-(v - 2)**2
Let f(m) be the second derivative of m**5/120 + m**4/48 + 2*m**2 - 2*m. Let o(j) be the first derivative of f(j). What is y in o(y) = 0?
-1, 0
Let i(o) be the first derivative of o**6/30 + 2*o**5/25 - 3*o**4/20 - 8*o**3/15 - 2*o**2/5 - 6. Let i(g) = 0. What is g?
-2, -1, 0, 2
Let h(c) be the third derivative of -c**7/140 + c**6/80 - 2*c**2. Suppose h(p) = 0. Calculate p.
0, 1
Factor 4/3 - t**2 - 11/3*t.
-(t + 4)*(3*t - 1)/3
Suppose -1/7 + 4/7*f + 1/7*f**2 - 4/7*f**3 = 0. What is f?
-1, 1/4, 1
Let n(q) = 8*q**5 + q**4 - 2*q**5 - 3*q**2 + q**3 - 5*q**5 + 2. Let r(t) = 3*t**5 + t**4 + 3*t**3 - 6*t**2 - t + 5. Let l(d) = 5*n(d) - 2*r(d). Solve l(v) = 0.
-1, 0, 1, 2
Let s(f) be the second derivative of -f**5/80 + f**4/48 + 3*f. Determine n so that s(n) = 0.
0, 1
Let b(c) be the third derivative of -c**8/224 + c**7/140 + 3*c**6/40 - c**5/10 - c**4/2 + 10*c**2 + 3. Determine d, given that b(d) = 0.
-2, -1, 0, 2
Let j = 65 + -41. Let r(y) = y**2 - 1. Suppose 4*l - 8*l = 2*b + 16, -l - 2*b - 7 = 0. Let s(u) = 7*u**2 - u - 8. Let v(q) = j*r(q) + l*s(q). Factor v(n).
3*n*(n + 1)
Find b, given that 0 + 1/4*b - 5/8*b**2 = 0.
0, 2/5
Let d(y) be the third derivative of 0*y**3 + 0*y + 0*y**6 + 1/60*y**5 - 3*y**2 + 0*y**4 + 0 - 1/210*y**7. Factor d(l).
-l**2*(l - 1)*(l + 1)
Suppose 10 = 5*k - 3*p, -5*p + 2 = 4*k - 3*k. Factor 4*w - 7/3*w**k + 4/3.
-(w - 2)*(7*w + 2)/3
Let t(u) be the third derivative of 0*u**4 + 0 + 0*u + 0*u**5 + 0*u**3 - 1/735*u**7 - 2*u**2 + 0*u**6. Determine d so that t(d) = 0.
0
Let o be 4 - (25/10 - (-12)/(-4)). Find n such that -3/4*n - 33/4*n**3 - 9/2*n**4 - o*n**2 + 0 = 0.
-1, -1/2, -1/3, 0
Let m(g) = -2*g**3 - 24*g**2 - 5*g - 58. Let y be m(-12). Factor -1/3*x**y + 2/3 + 1/3*x.
-(x - 2)*(x + 1)/3
Suppose -17*j = -12*j - 10. Factor -9/4*a**j + 15/4*a - 3/2.
-3*(a - 1)*(3*a - 2)/4
Let 2/7*x**3 + 0 + 4/7*x**2 + 2/7*x = 0. Calculate x.
-1, 0
Let d(t) = t**3 - 6*t**2 - 11*t - 6. Let w be d(8). Factor -34 - 6*x**2 - 3*x - 3*x**3 + w.
-3*x*(x + 1)**2
Let t(w) = 9*w**4 + 4*w**3 - 9*w**2 + 4. Let m(z) = 8*z**4 + 3*z**3 - 8*z**2 + 3. Let o(p) = 4*m(p) - 3*t(p). Find s, given that o(s) = 0.
-1, 0, 1
Suppose 0*w = -3*w + 4*t, 3*t = 0. Suppose w = -m - 0*m. Factor -1/5*x**2 - 1/5*x + m.
-x*(x + 1)/5
Let c(x) be the second derivative of -1/90*x**5 - 2*x + 1/9*x**3 + 