Let b(w) = 0. Calculate w.
-3, -1
Let i(p) be the first derivative of p**4/10 - 4*p**3/15 - 4*p**2/5 + 16*p/5 - 28. Solve i(x) = 0 for x.
-2, 2
Let a be ((-16)/252)/(1/(-9)). Let -2/7*d**2 - a*d + 0 + 2/7*d**4 + 4/7*d**3 = 0. What is d?
-2, -1, 0, 1
Let q(r) be the second derivative of -r**5/30 + 7*r**4/12 - 2*r**3 - 5*r**2/2 - 17*r. Let i(t) be the first derivative of q(t). Factor i(s).
-2*(s - 6)*(s - 1)
Solve 14/5*q**3 + 9/5*q - 2/5 - 6/5*q**4 + 1/5*q**5 - 16/5*q**2 = 0.
1, 2
Determine i so that 147 - 15/2*i**2 + 21/4*i - 3/4*i**3 = 0.
-7, 4
Suppose -569 + 521 = -12*t. Let h(s) be the first derivative of -13/24*s**3 - 3 + 17/32*s**t + 1/8*s**2 + 3/10*s**5 + 0*s. Find v such that h(v) = 0.
-2, 0, 1/4, 1/3
Let s(b) be the second derivative of -b**6/90 - 3*b**5/10 - 73*b**4/36 - 6*b**3 - 26*b**2/3 + 52*b. Factor s(d).
-(d + 1)*(d + 2)**2*(d + 13)/3
Let x(v) = -27*v**2 - 6*v. Let m(t) = -2*t**2 - t. Let w(y) = 21*m(y) - 3*x(y). Factor w(g).
3*g*(13*g - 1)
Let f be 1306*2*(4 + 30/(-8)). Factor -4*q**3 - 174*q - f*q + 1511 - 139 + 84*q**2 + 239*q.
-4*(q - 7)**3
Solve -9 - 13 + 16*s + s**2 + 86 = 0.
-8
Let -1/4*o**3 + o - 1/2*o**2 + 1/8*o**4 + 0 = 0. What is o?
-2, 0, 2
Let f = -45 - -75. Let j be (-2)/3 - f/(-27). Factor 2/9*h**2 + 2/3*h + j.
2*(h + 1)*(h + 2)/9
Let c = 305/5523 - 2/263. Let p(n) be the second derivative of 2/7*n**2 - 2/21*n**4 - c*n**3 + 0 + 3/70*n**5 + 7*n. Factor p(k).
2*(k - 1)**2*(3*k + 2)/7
Let m(p) = 9*p**3 + 22*p**2 + 5*p - 21. Let a(k) = -13*k**3 - 32*k**2 - 7*k + 31. Let s(w) = 5*a(w) + 7*m(w). Suppose s(v) = 0. Calculate v.
-2, 1
Suppose 4*o = -2*q + 74, 3*q = 5*q - 10. Suppose -2*g = -6*g + 4*p + 24, 0 = 4*g + 4*p - o. What is l in 1/5 - 1/5*l**g + 2*l**2 + l**4 - l - 2*l**3 = 0?
1
Let p(s) be the first derivative of s**6/20 - 3*s**5/40 - s**4/8 + s**3/4 + 6*s + 16. Let z(h) be the first derivative of p(h). Factor z(g).
3*g*(g - 1)**2*(g + 1)/2
Let v be 4/6*(-11 + 62/4). Factor -2/5*p**v + 2/5*p**2 - 2/5 + 2/5*p.
-2*(p - 1)**2*(p + 1)/5
Suppose -4*x - 4*b = -5*x + 332, 4*x + 3*b - 1404 = 0. Factor -3*s**3 - x*s**2 - 11*s + 0*s**3 + 360*s**2 + 2*s.
-3*s*(s - 3)*(s - 1)
Let l = 25/74 + 73/222. Suppose l*u**2 - 4/3*u + 0 + 4/3*u**3 - 2/3*u**4 = 0. Calculate u.
-1, 0, 1, 2
Suppose 0 = 2*v + 2*h - 8, 3*v + 2*h + 0*h = 10. Determine m so that -15 + 6*m**3 - 3*m**3 + 74*m**v - 3*m - 59*m**2 = 0.
-5, -1, 1
Let y(z) be the third derivative of -z**6/40 + 17*z**5/20 + 30*z**2. Find i such that y(i) = 0.
0, 17
Let c(g) = 85*g**2 + 1100*g + 430. Let b(n) = 28*n**2 + 366*n + 143. Let i(f) = -10*b(f) + 3*c(f). Factor i(p).
-5*(p + 14)*(5*p + 2)
Let a(n) = -6*n**3 - 27*n**2 + 6*n + 27. Let j(l) = 3*l**3 + 14*l**2 - 3*l - 14. Suppose 2*i + 0*i + 18 = 0. Let q(y) = i*j(y) - 5*a(y). Factor q(w).
3*(w - 1)*(w + 1)*(w + 3)
Let -14368*b - 4*b**2 + 14460*b + 2*b**2 + 294 = 0. What is b?
-3, 49
Let i = 30083/78 + -2303/6. Suppose -i - 16/13*g + 2/13*g**2 + 2/13*g**3 = 0. What is g?
-2, 3
Let s be (72/45)/((-4)/(-10)). Let g(f) be the first derivative of -27/4*f**4 - 21/2*f**2 + 15*f**3 + s + 3*f. Factor g(m).
-3*(m - 1)*(3*m - 1)**2
Let h(k) be the third derivative of -k**7/735 + 2*k**6/105 - 11*k**5/210 - 2*k**4/21 + 4*k**3/7 - k**2 + 27. Determine v, given that h(v) = 0.
-1, 1, 2, 6
Let h = 19 - 16. Let m(l) = -l**3 + l**2 + 6*l + 3. Let x be m(h). Find n, given that -2*n**2 - 5*n + 0*n + 0*n**2 + 5*n**x + 2 = 0.
-1, 2/5, 1
Let y(x) be the third derivative of x**8/168 + 4*x**7/105 + x**6/10 + 2*x**5/15 + x**4/12 - 12*x**2 - 4*x. Solve y(l) = 0 for l.
-1, 0
Let g(d) be the second derivative of -d**7/2520 + d**6/360 - d**5/120 + d**4/72 - 2*d**3/3 - 2*d. Let a(s) be the second derivative of g(s). Factor a(u).
-(u - 1)**3/3
Let n = 41 - 37. Factor -40*b + 5*b**n + 0*b - 30*b**2 + 7 - 22.
5*(b - 3)*(b + 1)**3
Let g(a) be the first derivative of 7*a**6/15 - 9*a**5/10 - 5*a**4/6 + 3*a**3 - 2*a**2 - 2*a - 10. Let v(z) be the first derivative of g(z). Factor v(n).
2*(n - 1)**2*(n + 1)*(7*n - 2)
Factor -6*u**2 - 8 - 68/3*u + 5/3*u**3.
(u - 6)*(u + 2)*(5*u + 2)/3
Let f(b) = -3*b**4 - 3*b**2 + 2*b**3 + 4*b**2 - 3*b**3 + 2*b**4. Let j(s) = 3*s**4 + 4*s**3 - 5*s**2 - 8*s - 4. Let v(t) = 2*f(t) + j(t). Factor v(r).
(r - 2)*(r + 1)**2*(r + 2)
Let p = 6364/7 - 909. Determine w so that -4/7*w**4 - p*w**5 + 0 + 0*w + 0*w**2 - 4/7*w**3 = 0.
-2, 0
Let n(c) be the third derivative of 1/1176*c**8 + 0*c**4 + 3*c**2 + 0*c - 2/735*c**7 + 0*c**5 + 0*c**3 + 0 + 1/420*c**6. Suppose n(q) = 0. Calculate q.
0, 1
Factor 2*n**2 - 29/2 - 115/2*n.
(n - 29)*(4*n + 1)/2
Let a(r) = -14*r**4 + 4*r**3 - 4*r**2 - 4*r + 6. Let u(v) = -43*v**4 + 10*v**3 - 11*v**2 - 13*v + 19. Let n(i) = 19*a(i) - 6*u(i). Factor n(k).
-2*k*(k - 1)*(2*k - 1)**2
Let d(x) = 5*x + 178. Let r be d(-34). Let y(z) be the third derivative of -1/24*z**4 - r*z**2 + 19/480*z**5 + 0 - 7/960*z**6 - 1/12*z**3 + 0*z. Factor y(g).
-(g - 2)*(g - 1)*(7*g + 2)/8
Let b be 364/784 - (-2)/7. Let h(u) be the first derivative of 3*u + b*u**4 + 1 - 3/2*u**2 - u**3. Factor h(q).
3*(q - 1)**2*(q + 1)
Factor u - u - 2*u**3 + 96*u**2 + 4*u**4 - 100*u**2 + 2*u**5.
2*u**2*(u - 1)*(u + 1)*(u + 2)
Let m(i) = -i**3 + 12*i**2 + 20*i + 7. Let h be m(14). Let o be (6/h*-5)/((-3)/(-12)). Factor 8/7*q**3 - 4/7*q - 4/7*q**4 - 4/7*q**5 + o*q**2 - 4/7.
-4*(q - 1)**2*(q + 1)**3/7
Let g(n) be the first derivative of 3*n**8/3920 + n**7/392 + n**6/840 - n**5/280 - 11*n**3/3 + 45. Let d(v) be the third derivative of g(v). Factor d(m).
3*m*(m + 1)**2*(3*m - 1)/7
Let b(c) be the second derivative of 0 - 1/3*c**3 - 1/24*c**4 - 21*c - c**2. What is d in b(d) = 0?
-2
Let q = 17 - 12. Let r(h) be the first derivative of 0*h + 0*h**4 - 1/20*h**q - 5 + 0*h**2 + 1/12*h**3. Factor r(u).
-u**2*(u - 1)*(u + 1)/4
Suppose -9/5*o**4 + 3/5*o**5 + 0*o - 3/5*o**3 + 9/5*o**2 + 0 = 0. Calculate o.
-1, 0, 1, 3
Suppose -20 = -2*h + 12. Suppose -14 = -4*c - g, -2*g = 3*c + 2*c - h. Factor 2/3*n**c + 0 + 0*n + 0*n**3 - 2/3*n**2.
2*n**2*(n - 1)*(n + 1)/3
Let y(f) be the first derivative of 5/3*f**3 + 1/2*f**4 - 3 - f**2 - f**5 + 0*f. Find n, given that y(n) = 0.
-1, 0, 2/5, 1
Solve -3686 - 440*o - 5*o**2 - 8500 + 2506 = 0.
-44
Suppose 0 = -14*p - 17 + 101. Let o(i) be the second derivative of 0*i**2 - 1/7*i**3 - 4*i - 1/70*i**p + 1/28*i**4 + 0 + 3/70*i**5. Factor o(a).
-3*a*(a - 2)*(a - 1)*(a + 1)/7
Let r(w) = 5*w**2 - 13*w - 2. Let i be r(3). Let g be (-282)/235 + (-6)/(-5). What is y in g*y - 4/3*y**i + 0 - y**3 + 1/3*y**2 = 0?
-1, 0, 1/4
Let x(a) be the first derivative of a**8/504 - a**7/105 + a**6/90 - 19*a**2/2 - 20. Let c(k) be the second derivative of x(k). Find m such that c(m) = 0.
0, 1, 2
Let k be 28/(-378) + (278/108)/1. Solve k*t**3 - 6*t**4 + 6*t**2 - 9/2*t**5 + 0 + 2*t = 0.
-1, -2/3, 0, 1
Solve -27 - 6*s - 1/3*s**2 = 0.
-9
Let t be (-204 + -1)*1/(10/(-16)). Factor t - 3*a**2 - a**2 - 312.
-4*(a - 2)*(a + 2)
Let z = 8674 - 8672. Factor 0 + 1/11*a**z + 2/11*a.
a*(a + 2)/11
Let i be (-369)/154 + 2/11 + 0. Let x = 26/7 + i. Find r, given that x + 1/2*r**2 - 2*r = 0.
1, 3
Let k(q) be the third derivative of -1/360*q**5 + 5/144*q**4 + 0 - 20*q**2 + 0*q + 0*q**3. Find v, given that k(v) = 0.
0, 5
Let f(c) = 2*c**2 + 2*c. Let k(j) = -2*j**2 - 3*j. Let d = 9 + -5. Suppose d*g + 7 = -5*p, -4*p - 1 = 5*g + 1. Let y(w) = g*k(w) + 3*f(w). Factor y(v).
2*v**2
Suppose -6 = -5*y - 2*t, -y + t = -8 + 11. Factor 2/7*q**2 + y + 2/7*q**3 + 0*q.
2*q**2*(q + 1)/7
Determine n, given that 9140 + 1608 + 1257 + 5*n**2 - 455*n - 61*n + 26*n = 0.
49
Suppose -22*v + 5 + 39 = 0. Let c(b) be the second derivative of 8/15*b**6 + 22/5*b**5 + 9/2*b**v + 97/12*b**4 - 2*b - 11*b**3 + 0. Factor c(d).
(d + 3)**2*(4*d - 1)**2
Suppose 0 = -48*d + 71*d. Let z(h) be the first derivative of 4 + 0*h + d*h**3 - 1/4*h**4 + 1/2*h**2. Factor z(v).
-v*(v - 1)*(v + 1)
Suppose 3*h - 15 = u - 8, 15 = 3*u. Let n be (-12)/36 + 7/3. Let -9/2*a**n - 1 - 5/2*a**3 - 1/2*a**h - 7/2*a = 0. What is a?
-2, -1
Let q = -13 - 4. Let k = -50/3 - q. Find r, given that r + k*r**2 - r**3 - 2/3 + 1/3*r**4 = 0.
-1, 1, 2
Let v(y) = -2*y - 11. Suppose 3*n = -0*n - 5*g - 4, -n = -4*g + 24. Let k be v(n). Find t such that -6*t**k + 2*t**4 + 3*t**5 - 5*t**4 = 0.
-1, 0
Let n(u) be the second derivative of u**5/80 - 17*u**4/24