1). Let v = 568/35 - z. What is i in -2/5*i**2 + v*i - 2/5 = 0?
1
Let l(g) = 8*g**2 + 5*g - 17. Let d(o) be the first derivative of -o**3/3 - o**2/2 + o - 8. Let h(w) = -5*d(w) - l(w). Find j such that h(j) = 0.
-2, 2
Suppose y - 24 + 29 = 5*v, 0 = -5*y - v + 1. Determine k so that 1/2*k**5 + 1/2*k**2 + y - 1/2*k**3 + 0*k - 1/2*k**4 = 0.
-1, 0, 1
Factor 24*k**2 + 3*k - 6*k**2 + 253 - 127 - 126.
3*k*(6*k + 1)
Let u = -1/46765 + 93541/514415. Factor 2/11*j**2 + 0 - u*j.
2*j*(j - 1)/11
Suppose 8/5*i**4 - 4/5*i**2 - 4/5 + 8/5*i**3 - 2*i + 2/5*i**5 = 0. Calculate i.
-2, -1, 1
Let z(k) be the second derivative of -k**7/42 + 4*k**6/21 - 13*k**5/28 + 5*k**4/21 + 2*k**3/7 - 37*k. Find y, given that z(y) = 0.
-2/7, 0, 1, 2, 3
Let v(k) = -2*k**2 + 22*k + 21. Let j be v(-1). Let x be j + 1 + 290/25. Let 3/5*i**3 + x*i + 24/5*i**2 + 0 = 0. Calculate i.
-4, 0
Let z(g) be the third derivative of 0*g - 1/60*g**5 - 4*g**2 + 0 + 0*g**3 + 0*g**4. What is i in z(i) = 0?
0
Suppose 2*o = 3*o + 4*x - 14, -82 = -3*o - 4*x. Factor -20*l - 10*l**3 - 3 + 8 - 9*l**2 + o*l**2.
-5*(l - 1)**2*(2*l - 1)
Let g(k) be the second derivative of -5*k**4/12 - 40*k**3/3 + 85*k**2/2 - 2*k + 27. Factor g(d).
-5*(d - 1)*(d + 17)
Let 11*r + 63*r + 11*r + 114 + 6*r**2 - 16*r = 0. What is r?
-19/2, -2
Let o = 750 + -748. Factor o*v**2 - 2/3*v**3 + 0 - 4/3*v.
-2*v*(v - 2)*(v - 1)/3
Factor 269 - 35*w**2 + 254 - 523 + 15*w.
-5*w*(7*w - 3)
Let u be 2033/(-57)*2/16*6. Let z = u - -28. Solve 7/4*i**3 + z*i**2 + 1/4*i + 0 + 3/4*i**4 = 0 for i.
-1, -1/3, 0
Factor 0 + 1/3*i**3 + 5/3*i - 2*i**2.
i*(i - 5)*(i - 1)/3
Let c(z) = -17*z**2 - 235*z - 6. Let n(i) = 49*i**2 + 705*i + 17. Let r(s) = 17*c(s) + 6*n(s). Determine f so that r(f) = 0.
-47, 0
Suppose 35 = -59*v + 66*v. Let a(c) be the second derivative of 1/9*c**3 - 3*c + 0*c**2 + 0 + 7/36*c**4 + 1/20*c**v. Factor a(m).
m*(m + 2)*(3*m + 1)/3
Let p be ((-12)/(-10))/((-651)/105 - -8). Let l(n) be the first derivative of 0*n + p*n**3 + 0*n**2 - 4. Find m, given that l(m) = 0.
0
Let p = 0 + 4. Suppose -4*i**4 - 4*i**5 - p*i**3 - i**2 + 8*i**5 + 5*i**2 = 0. Calculate i.
-1, 0, 1
Factor 23/9*t - 4/3 + t**2.
(t + 3)*(9*t - 4)/9
Suppose -347 + 233 = -224*c + 334. Factor -72/13 - 24/13*j - 2/13*j**c.
-2*(j + 6)**2/13
Factor 0 + 1/10*n + 2/5*n**2 + 3/10*n**3.
n*(n + 1)*(3*n + 1)/10
Let s(p) be the first derivative of 3/25*p**5 - 21/20*p**4 + 3*p**3 + 8 - 39/10*p**2 + 12/5*p. Suppose s(t) = 0. What is t?
1, 4
Let b(r) be the third derivative of r**5/20 + 9*r**4 + 648*r**3 - 117*r**2. Factor b(y).
3*(y + 36)**2
Let c be (-2)/(-8) + 3405/(-20). Let b = c - -170. Find s, given that -3/8*s**3 + 1/4*s**2 + b*s + 0 = 0.
0, 2/3
Factor t**2 + 3 + 14 - 4 + 5 - 9*t.
(t - 6)*(t - 3)
Suppose 0 = 111*a - 131*a + 100. Let z(b) be the first derivative of 2/25*b**a - 1/10*b**4 + 3 + 0*b + 0*b**2 + 0*b**3. Solve z(p) = 0.
0, 1
Let v(b) = b**2 - b. Let n be v(-1). Factor f + 46*f**n - 2 - 44*f**2 - f.
2*(f - 1)*(f + 1)
Let b(k) be the second derivative of 0 + 0*k**2 + 9/40*k**5 + 1/2*k**4 - k**3 + 26*k. Solve b(p) = 0.
-2, 0, 2/3
Let l(b) be the second derivative of -1/50*b**5 + 0*b**2 + 1/10*b**4 + 0 - 1/25*b**6 - 1/105*b**7 + 6*b + 2/15*b**3. Suppose l(t) = 0. Calculate t.
-2, -1, 0, 1
Let h(u) be the second derivative of -u**6/45 - 2*u**5/15 + u**4/18 + 4*u**3/9 + 5*u - 14. What is o in h(o) = 0?
-4, -1, 0, 1
Let d(f) be the third derivative of -f**7/560 + f**6/160 + 3*f**5/160 - f**4/16 - f**3/4 - f**2 + 15. Factor d(k).
-3*(k - 2)**2*(k + 1)**2/8
Let u(a) be the second derivative of 3/8*a**3 + 0 + 3/4*a**2 + 12*a + 1/16*a**4. Factor u(s).
3*(s + 1)*(s + 2)/4
Let j = -9 + 14. Solve 2*m**5 + 3*m**j - 4*m**5 + 131*m**4 - 129*m**4 = 0.
-2, 0
Let p(y) be the first derivative of y**4/18 + y**3/9 + 34*y - 46. Let q(c) be the first derivative of p(c). Solve q(f) = 0.
-1, 0
Let h(l) be the second derivative of -l**8/10080 + l**7/1260 - l**6/540 - 5*l**4/6 + 5*l. Let g(y) be the third derivative of h(y). Find w such that g(w) = 0.
0, 1, 2
Let p(g) be the third derivative of -g**11/1496880 + g**10/226800 + g**5/15 - 4*g**2. Let o(a) be the third derivative of p(a). Factor o(c).
-2*c**4*(c - 3)/9
Let a = 53 + -35. Suppose -10 = 4*s - a. Factor 1/4*d + 1/4*d**s - 1/2.
(d - 1)*(d + 2)/4
Let c(f) be the second derivative of f**5/50 + f**4/20 - f**3/10 - f**2/5 - 84*f. Solve c(v) = 0 for v.
-2, -1/2, 1
Let b = 156060 - 45413272/291. Let v = 2/97 + b. Factor -2*c**2 - 10/3*c - 4/3 + v*c**4 + 2/3*c**3.
2*(c - 2)*(c + 1)**3/3
Suppose -2*i - 1316 = -1322. Solve -3/2*v**4 - i*v**3 + 0 + 0*v - 3/2*v**2 = 0.
-1, 0
Let m(p) be the second derivative of -p**5/120 + p**4/24 + p**3/9 - 2*p - 49. Factor m(h).
-h*(h - 4)*(h + 1)/6
Suppose 5*o - 4*k - 21 = 0, -2*k = -3*o + o + 8. Let -12*j**2 - j**3 + o*j**3 + 8*j**3 - 3*j**4 = 0. Calculate j.
0, 2
Let j(c) be the first derivative of c**6/72 + c**5/6 + 5*c**4/6 - 17*c**3/3 + 24. Let l(h) be the third derivative of j(h). Factor l(q).
5*(q + 2)**2
Factor -2/3*n**2 - 4*n + 18.
-2*(n - 3)*(n + 9)/3
Let -2580*h - 303*h**3 - 146*h**4 + 4*h**5 - 122*h**4 + 52*h**4 - 336*h + 3215*h**3 + 216*h**2 = 0. What is h?
-1, 0, 1, 27
Let k(f) be the first derivative of f**4/4 - 3*f**2/2 - 6*f - 22. Let l(j) be the first derivative of k(j). Determine r so that l(r) = 0.
-1, 1
Let z(d) be the first derivative of d**5/420 + d**4/168 - d**3/21 - 5*d**2 - 10. Let o(q) be the second derivative of z(q). Solve o(w) = 0 for w.
-2, 1
Let s(r) be the third derivative of 0 - 1/4*r**8 + 29/21*r**7 - 16/5*r**6 + 121/30*r**5 + 31*r**2 + 4/3*r**3 - 3*r**4 + 0*r. Solve s(j) = 0.
2/7, 1/2, 2/3, 1
Let m(r) be the first derivative of -r**4/3 - 4*r**3 - 16*r**2 + 13*r + 19. Let u(j) be the first derivative of m(j). Let u(f) = 0. What is f?
-4, -2
Let q(z) be the first derivative of -z**3/15 - 3*z**2/5 + 16*z/5 - 38. Factor q(j).
-(j - 2)*(j + 8)/5
Let a(i) be the third derivative of -1/24*i**6 + 0 - 1/3*i**5 + 20*i**2 + 0*i - 5/24*i**4 + 5*i**3. Solve a(q) = 0 for q.
-3, -2, 1
Let x(i) be the second derivative of 1/5*i**5 + 10/3*i**3 + 4*i**2 + 9*i + 0 + 4/3*i**4. Factor x(b).
4*(b + 1)**2*(b + 2)
Let z(k) be the second derivative of -1/15*k**3 - 8/45*k**4 - 4/225*k**6 + 0 - 1/10*k**5 + 13*k + 2/15*k**2. Let z(x) = 0. Calculate x.
-2, -1, 1/4
Let y = -181 - -186. Let n(m) be the third derivative of 1/40*m**6 - 1/210*m**7 + 0*m**4 - 1/30*m**5 + y*m**2 + 0*m**3 + 0 + 0*m. Let n(g) = 0. What is g?
0, 1, 2
Suppose -4*x + 4*y = -0*y + 8, 5*y = 25. Suppose 20 = -5*j, -x*k = 4*j - j + 9. Determine z so that k - z + 0*z**2 - 2*z**2 - 3*z - 3 = 0.
-1
Suppose 6*a + 81 = 3*a. Let b be (-21)/a + 2/9. Factor v + 4 - 1 - 7*v - 8*v**2 - b.
-2*(v + 1)*(4*v - 1)
Factor -16/15*l**3 - 16/15*l**2 + 96/5 + 64/5*l + 2/15*l**4.
2*(l - 6)**2*(l + 2)**2/15
Factor -34*x - 4*x**2 + 30*x - 11 + 35.
-4*(x - 2)*(x + 3)
Let o(p) be the third derivative of p**5/140 - 3*p**4/28 + 5*p**3/14 + 216*p**2. Factor o(w).
3*(w - 5)*(w - 1)/7
Suppose -968/13 - 88/13*y - 2/13*y**2 = 0. What is y?
-22
Let u be ((-3 - 5) + (-56)/(-8))*0. Factor u*r**2 + 1/3*r**3 - 2/3 - r.
(r - 2)*(r + 1)**2/3
Factor -3/8*z**2 + 33/2*z - 129/8.
-3*(z - 43)*(z - 1)/8
Suppose 9*t - 20 = 4*t. Suppose 5*h - 3*h - t = 0. What is o in -1/2*o**h + 0*o + 1/2 = 0?
-1, 1
Let z(v) be the third derivative of -v**10/6048 - v**9/3024 + v**4/4 - 5*v**2. Let i(x) be the second derivative of z(x). Solve i(g) = 0.
-1, 0
Let d(q) be the third derivative of q**7/120 + q**6/96 - 29*q**5/120 - 17*q**4/24 + q**3 - 4*q**2 - 12. Suppose d(a) = 0. What is a?
-2, 2/7, 3
Let r(f) be the second derivative of 5/18*f**2 - 4*f + 0 + 1/270*f**6 - 8/27*f**3 - 2/45*f**5 + 1/6*f**4. Find m, given that r(m) = 0.
1, 5
Determine r so that -22*r**3 - 140*r**2 - 39*r**3 + 30*r**3 - 88*r - 12 - 33*r**3 = 0.
-1, -3/16
Suppose -4*h + 8*h - 28 = 0. Suppose h*c = 5*c. Let c*l**2 - 2/5*l**5 - 4/5*l**4 - 2/5*l**3 + 0*l + 0 = 0. Calculate l.
-1, 0
Suppose -5*v - 60 + 80 = 0. Let z(j) be the first derivative of 2/3*j**3 + 1/4*j**2 + 2/5*j**5 + 3/4*j**v + 1/12*j**6 + 0*j + 3. Factor z(k).
k*(k + 1)**4/2
Suppose -4 = -24*f - 4. Let n(r) be the third derivative of f + 1/8*r**4 + 0*r - 1/20*r**5 + 0*r**3 + r**2. Factor n(i).
-3*i*(i - 1)
Let r = 132 - 127. Let z(g) be the first derivative of 0*g -