et c be h(-9). Let y = -5285 - -26426/5. Factor y + 0*x - 1/5*x**c.
-(x - 1)*(x + 1)/5
Suppose -30 - 5 = 5*g. Let c be 2 - (g/1 - -1). Find u such that c*u**4 - 6*u**2 + 3*u**5 + 0*u**3 - u**4 - u**4 - 3*u**3 = 0.
-2, -1, 0, 1
Let t(s) be the third derivative of -s**7/23940 + s**6/6840 + s**5/190 + 41*s**4/24 + 17*s**2. Let d(n) be the second derivative of t(n). Solve d(j) = 0.
-2, 3
Let f(y) be the third derivative of -y**8/1512 + y**6/540 - y**2 - 14. Find h, given that f(h) = 0.
-1, 0, 1
Let v be ((-18)/(-28))/((-12)/(-14)). Let n(p) be the first derivative of 2*p**3 - 6*p + 7 - 3/2*p**2 + v*p**4. Factor n(h).
3*(h - 1)*(h + 1)*(h + 2)
Let n(l) = -6*l**3 - 2*l**2 + 12*l - 4. Let z(u) be the second derivative of u**5/20 - u**3/6 + u. Let b(o) = 4*n(o) + 20*z(o). Determine q so that b(q) = 0.
-4, 1
Determine u, given that -2/5*u + 28/5*u**2 + 2/5*u**3 - 28/5 = 0.
-14, -1, 1
Let r be (-27)/(-5) - 8 - (-4 - -1). Let f(i) be the first derivative of 0*i**2 - 3 - r*i**5 - 2/3*i**3 + 0*i - i**4. Determine x so that f(x) = 0.
-1, 0
Let w = 31 + -29. Factor 6 + 22*t**2 + 6*t + 2 - w*t - 26*t**2.
-4*(t - 2)*(t + 1)
Let a(u) be the second derivative of 0*u**3 + 1/21*u**7 - 1/15*u**6 - 1/10*u**5 + 0*u**2 - 5*u + 1/6*u**4 + 0. Factor a(j).
2*j**2*(j - 1)**2*(j + 1)
Let w(t) be the first derivative of t**6/60 + t**5/15 - t**4/12 - 2*t**3/3 - 5*t**2/2 + 7. Let x(b) be the second derivative of w(b). Factor x(z).
2*(z - 1)*(z + 1)*(z + 2)
Let y(h) be the third derivative of h**7/595 + h**6/510 - 7*h**5/510 + h**4/102 + h**2. Solve y(x) = 0.
-2, 0, 1/3, 1
Let t(s) be the second derivative of s**5/28 + s**4/42 - 34*s. Let t(a) = 0. What is a?
-2/5, 0
Let g = 1793/1211 + -9/173. Factor -8/7*w**3 - 2/7*w**4 - g*w**2 + 0 - 4/7*w.
-2*w*(w + 1)**2*(w + 2)/7
Let o(z) = z**3 - 9*z**2 + 5*z + 4. Let h be o(4). Let u be (1*(-12)/(-9))/(h/(-14)). Let -1/3 - 2/3*n - u*n**2 = 0. What is n?
-1
Let s(x) be the second derivative of x**7/630 + 7*x**6/540 - x**5/15 - 5*x**4/3 + x. Let m(h) be the third derivative of s(h). Find r such that m(r) = 0.
-3, 2/3
Let f(c) be the second derivative of -c**7/231 - c**6/165 + c**5/110 + c**4/66 + 24*c - 1. Determine a, given that f(a) = 0.
-1, 0, 1
Suppose 0 = 2*t - t - g - 15, -g - 27 = -2*t. Factor 2*o**3 - 4*o**2 + 2*o**3 + 4*o + t*o**2 + 0*o.
4*o*(o + 1)**2
Factor 15/2*z + 7/2 + z**2.
(z + 7)*(2*z + 1)/2
Let q(s) be the second derivative of 1/12*s**4 + 0*s**3 + 1/60*s**5 + 0 + 11*s - 2/3*s**2. Find b such that q(b) = 0.
-2, 1
Let j(k) be the first derivative of k**7/14 - k**6/10 - 9*k**5/20 + k**4/4 + k**3 + 15*k + 21. Let x(l) be the first derivative of j(l). Solve x(b) = 0.
-1, 0, 1, 2
Suppose 4*l + 68 = l + 5*f, 4*l + 2*f = -56. Let h be 4/l + 2 + (-10)/8. Let 1/2 - h*k**2 + k - k**3 = 0. What is k?
-1, -1/2, 1
Let u(p) be the first derivative of -14*p**3/3 - 236*p**2 + 136*p - 190. Find q such that u(q) = 0.
-34, 2/7
Let p = 396 - 394. Find n such that 0 - 2/7*n**p - 6/7*n = 0.
-3, 0
Let b = -550 + 556. Let g(f) be the second derivative of 1/3*f**4 - 1/3*f**3 + 1/5*f**5 - f**2 - 1/15*f**b + 0 - 1/21*f**7 - 10*f. Determine t so that g(t) = 0.
-1, 1
Let d(r) be the first derivative of r**3/7 - 27*r**2/14 + 24*r/7 - 56. Factor d(x).
3*(x - 8)*(x - 1)/7
Let 3/2*z**5 - 120*z + 75/2*z**3 + 96 - 30*z**2 + 15*z**4 = 0. What is z?
-4, 1
Let x(i) be the second derivative of 2*i**2 + 6*i + 7/6*i**4 + 3*i**3 + 0. Factor x(l).
2*(l + 1)*(7*l + 2)
Suppose 5*d = d, -y - 5*d + 2 = 0. Factor 256 + 3*s**3 - 60*s**y - 75*s - 117*s - 16*s**3 + 9*s**3.
-4*(s - 1)*(s + 8)**2
Let a be 8 + (-1 - 3)*2. Factor a - 1/3*j**2 + 0*j + 2/3*j**3 - 1/3*j**4.
-j**2*(j - 1)**2/3
Let m(k) be the second derivative of -k**5/80 - k**4/6 - 5*k**3/24 + 7*k**2/4 + 3*k - 43. Factor m(l).
-(l - 1)*(l + 2)*(l + 7)/4
Let f(a) be the third derivative of 0*a + 0*a**3 - 1/15*a**5 - 28*a**2 + 0 + 0*a**4. Find l such that f(l) = 0.
0
Suppose 111*y = 451*y - 680. Determine b so that 0 + y*b**2 + 8/7*b**3 - 4/7*b = 0.
-2, 0, 1/4
Let s be 3/(2 - (-105)/(-48)). Let z = -12 - s. Factor 4*c**2 + c**5 + c**3 - z*c**2 + 3*c**4 - c**4.
c**3*(c + 1)**2
Let h(g) be the third derivative of -1/2*g**3 - 1/24*g**4 + 0 + 1/120*g**6 + 1/20*g**5 + 0*g + 13*g**2. Factor h(w).
(w - 1)*(w + 1)*(w + 3)
Let g(q) = -23*q - 87. Let r be g(-4). Suppose 0 = -3*j + 2*u + 17, j + r = 4*u - 6*u. Determine t, given that 0 + 0*t + 1/5*t**2 + 1/5*t**j = 0.
-1, 0
Let a(k) be the first derivative of -k**5/40 + 27*k**4/32 + 29*k**3/8 + 89*k**2/16 + 15*k/4 + 720. Let a(s) = 0. Calculate s.
-1, 30
Let n = 1970 - 19721/10. Let a = n + 5/2. Let 0 - a*m**4 + 0*m**2 - 2/5*m**3 + 0*m = 0. Calculate m.
-1, 0
Suppose 0 = -f - 3*i + 18, -3*i + 17 + 10 = 4*f. Determine r so that -2*r - 4 - 530*r**f + 531*r**3 + 10*r - 5*r**2 = 0.
1, 2
Factor -4*x**3 - 28/3*x + 1/3*x**4 + 10*x**2 + 3.
(x - 9)*(x - 1)**3/3
Let n = 217 - 541. Let d = 2272/7 + n. Determine w, given that 2/7*w - 2/7*w**2 + d = 0.
-1, 2
Let l be (8/(-12))/((-1)/(-6)*-2). Find g, given that 24*g**2 + 18*g + 19*g**3 + l - 12*g**5 + 1 - 27*g**4 - 25*g**3 = 0.
-1, -1/4, 1
Let g(z) be the first derivative of 13*z**4/6 + 158*z**3/27 + 41*z**2/9 + 2*z/9 + 29. Determine m so that g(m) = 0.
-1, -1/39
Let s(t) = -t**3 - t**2 + 2*t. Let w(k) = 3*k**4 + 46*k**3 + 40*k**2 - 44*k - 45. Let f(p) = 2*s(p) - w(p). Factor f(g).
-3*(g - 1)*(g + 1)**2*(g + 15)
Let g(z) be the first derivative of -4*z**2 + 0*z - 21 - 8/3*z**3 - 1/2*z**4. Factor g(c).
-2*c*(c + 2)**2
Let -10*p - 16/3*p**2 - 2/3*p**3 + 0 = 0. What is p?
-5, -3, 0
Let w(a) = -634*a**2 - 8*a. Let r(m) = 423*m**2 + 6*m. Let u(o) = -7*r(o) - 5*w(o). Find g, given that u(g) = 0.
0, 2/209
Factor -3*s**2 - 41 + 56*s - 51 + 56.
-(s - 18)*(3*s - 2)
Let z(x) be the first derivative of x**4/4 + 7*x**3/6 - x**2 - 20. Factor z(d).
d*(d + 4)*(2*d - 1)/2
Let m = -21 - -24. Suppose u - 4 - 1 = d, m*d + 19 = 4*u. Factor u*i + 4 - 23*i**2 + 0 + 26*i**2 - 12*i.
(i - 2)*(3*i - 2)
Suppose 8 = 4*f - 12. Suppose 0 = 3*j + 2*l - 19, -4*l + 2 = -f*j - 3. Factor 4*q**j - 6*q + 0 + 4 - 2*q**3.
2*(q - 1)**2*(q + 2)
Let j = 9899/3 - 3299. Solve 2/3*l**2 + 4/3*l + j = 0.
-1
Let w = -8/5 + 2. Determine k, given that -w - 1/5*k**2 + 3/5*k = 0.
1, 2
Let s(m) be the second derivative of -m**7/7 + m**6/105 + 23*m**5/70 - m**4/42 - 2*m**3/21 + 24*m - 1. What is q in s(q) = 0?
-1, -2/7, 0, 1/3, 1
Let k(a) be the third derivative of a**6/120 - 4*a**5/15 + 7*a**4/2 - 24*a**3 + 537*a**2. Find b such that k(b) = 0.
4, 6
Let r = -83068/21 - -3960. Let p = 14/3 - r. Factor -p*t**2 + 0 - 6/7*t.
-2*t*(t + 3)/7
Suppose 0 = 2*r - 3*x, 2*x - 7*x = 20. Let z be 3 + r/(-12) + -1 + -1. Factor 6*d**2 + z + 6*d.
3*(2*d + 1)**2/2
Let p = -386 + 389. Let w(r) be the second derivative of -5/12*r**4 + 5/2*r**2 + 0 + 10/3*r**p + 2*r - r**5. Factor w(u).
-5*(u - 1)*(u + 1)*(4*u + 1)
Let d = 14 - 12. Suppose 4*u**4 - 8*u**d + 2*u**5 - 4*u**3 + 252 + 2*u + 0*u**3 - 248 = 0. What is u?
-2, -1, 1
Let x(f) be the first derivative of -f**3 + 6*f**2 - 9*f + 38. Factor x(l).
-3*(l - 3)*(l - 1)
Determine q, given that 0 + 1/4*q**2 + 29/2*q = 0.
-58, 0
Let i(c) be the third derivative of -c**7/210 - 7*c**6/120 - 3*c**5/20 + 7*c**4/24 + 5*c**3/3 + 745*c**2. Suppose i(h) = 0. What is h?
-5, -2, -1, 1
Let h(r) be the third derivative of r**7/945 + r**6/36 + 183*r**2. Find q, given that h(q) = 0.
-15, 0
Let g(u) = -2*u**2 + u - 1. Let o(s) = 3*s**2 + 34*s - 35. Let d(m) = -g(m) - o(m). Factor d(a).
-(a - 1)*(a + 36)
Let q = -5/391 + 1157/29325. Let u(p) be the second derivative of 0*p**2 + p - 1/15*p**4 + 0 + 1/105*p**7 + q*p**6 + 0*p**5 - 1/15*p**3. Solve u(g) = 0 for g.
-1, 0, 1
Let p be (-10)/(-4) + (-2)/4. Factor 3*w**p - 6*w - 200 + 200.
3*w*(w - 2)
Let b(x) be the second derivative of -1/27*x**3 + 2/9*x**2 + 1/135*x**6 + 1/90*x**5 - 1/18*x**4 - 9*x + 0. Determine v so that b(v) = 0.
-2, -1, 1
Suppose -23*v + 68 = -47. Let s(p) be the first derivative of -8/3*p**3 + 0*p + 0*p**2 + 5 - 2/5*p**v + 2*p**4. Factor s(f).
-2*f**2*(f - 2)**2
Let m = 19042 - 19038. Determine i, given that -26/5*i**2 + 2*i**m - 2/5*i**5 + 16/5*i + 24/5 - 6/5*i**3 = 0.
-1, 2, 3
Let k(u) be the second derivative of -u**7/14 + u**6/2 - 9*u**5/10 - u**4 + 4*u**3 + 132*u. What is z in k(z) = 0?
-1, 0, 2
Let u(s) 