 10745. Factor 174*z**2 + 258*z**2 + 194672 + 3381*z + 2*z**3 + d*z - 156*z**2.
2*(z + 46)**3
Let l(y) = -20*y**5 + 45*y**4 - 15*y**3 - 70*y**2. Let v(o) = 9*o**5 - 22*o**4 + 7*o**3 + 34*o**2. Let h(r) = 2*l(r) + 5*v(r). What is f in h(f) = 0?
-1, 0, 2, 3
Let s(n) = n**2 - 3*n. Let t be s(3). Let o be (t - 3)/((-6)/4) - -3. Factor -2*r**2 + r**4 + o - 6 + 2.
(r - 1)**2*(r + 1)**2
Let x(p) be the third derivative of 0 + 0*p - 97/18*p**4 + 44/3*p**3 - 1/15*p**5 - 291*p**2. Factor x(r).
-4*(r + 33)*(3*r - 2)/3
Let a(z) be the first derivative of 5*z**4/4 - 580*z**3 + 75690*z**2 - 4189. Determine t so that a(t) = 0.
0, 174
Suppose 170/9*a**2 + 4/3 + 82/9*a**3 + 98/9*a - 4/3*a**5 - 14/9*a**4 = 0. Calculate a.
-2, -1, -1/6, 3
Factor 3/4*t**2 + 186 - 99/2*t.
3*(t - 62)*(t - 4)/4
Let x(a) be the first derivative of -5*a**4/72 - 125*a**3/36 - 115*a**2/6 - 215*a + 134. Let w(z) be the first derivative of x(z). Solve w(n) = 0.
-23, -2
Let y be (105/(-42))/((45/396)/((6/(-8))/1)). Suppose 4*k**3 + y*k**2 + 3/2 + 14*k = 0. Calculate k.
-3, -1, -1/8
Suppose -5*z + 50 = -a, 0 = -5*z + 4*a + 78 - 28. Suppose -25 + z = -5*t. Suppose 3*c**t + 29*c**2 + 105*c + 75 - 22*c**2 + 26*c**2 = 0. What is c?
-5, -1
Let y(f) be the third derivative of -f**8/336 - 2*f**7/105 + 11*f**6/40 - 2*f**5/15 - 29*f**4/6 + 16*f**3 + 3*f**2 - 80*f - 1. Solve y(x) = 0 for x.
-8, -2, 1, 2, 3
Let 2/5*c**2 - 1652/5*c + 341138/5 = 0. What is c?
413
Let r = 1448758/1720355 + -2/90545. Solve 2/19*x**2 + r*x + 14/19 = 0.
-7, -1
Let o = -263708/11 + 23974. Let f(i) be the first derivative of -10/11*i + 12 + o*i**2 - 2/33*i**3. Factor f(j).
-2*(j - 5)*(j - 1)/11
Let v(j) be the third derivative of j**6/96 + 17*j**5/48 - 15*j**4/16 + 119*j**2 + j + 1. Suppose v(m) = 0. What is m?
-18, 0, 1
Let i = 7488 - 7484. Let j(n) be the third derivative of 1/24*n**i - 1/40*n**5 + 0*n**3 - 1/20*n**6 + 0 + 0*n + 10*n**2 - 1/60*n**7. Let j(x) = 0. What is x?
-1, 0, 2/7
Let j(r) = 18*r**2 + 35*r + 37. Suppose 0 = -142*k + 145*k + 9. Let u(q) = 10*q**2 + 17*q + 19. Let y(h) = k*j(h) + 5*u(h). Factor y(w).
-4*(w + 1)*(w + 4)
What is y in 51/5*y - 52/5 + 1/5*y**2 = 0?
-52, 1
Let z(w) be the second derivative of -3/4*w**2 - w + 1/20*w**6 + 0*w**4 + 67 + 3/20*w**5 - 1/2*w**3. Factor z(m).
3*(m - 1)*(m + 1)**3/2
Let n(f) = -8*f**2 - 128*f - 476. Let u(l) = -7*l**2 - 125*l - 477. Let q(h) = -3*n(h) + 4*u(h). Let q(j) = 0. What is j?
-24, -5
Let m(f) = -4*f**2 - 60*f. Let h be m(0). Let p(c) be the third derivative of h*c + 7/60*c**5 - 18*c**2 + 11/96*c**4 + 0 + 1/24*c**3. Find s such that p(s) = 0.
-1/4, -1/7
Suppose 5*i = 8*f + 12 + 7, -4*i + 28 = 0. Factor 0 - 2/7*x**f + 2*x.
-2*x*(x - 7)/7
Let w(n) be the third derivative of -n**7/840 + 13*n**6/480 + 197*n**5/120 + 91*n**4/12 + 2*n**2 + 2*n - 1601. What is a in w(a) = 0?
-13, -2, 0, 28
Let y(u) be the second derivative of -2*u + 5/13*u**4 + 76/39*u**3 - 24/13*u**2 + 3 - 7/130*u**5. Find c such that y(c) = 0.
-2, 2/7, 6
Suppose 0 = -0*k - k + 4*a + 23, 5*k + 5*a - 15 = 0. Suppose z + o - k = 0, 9 = -o + 4*o. Solve 3/5*r - 2/5*r**2 - 1/5*r**5 - 1/5 + 3/5*r**z - 2/5*r**3 = 0.
-1, 1
Let y be 4 - (-3)/((-3)/(-4)). Factor 0 + 8*o**3 + 4*o**4 - y*o + 0 - 258*o**2 + 254*o**2.
4*o*(o - 1)*(o + 1)*(o + 2)
Let r(t) = 17*t**3 - 29*t**2 - 14*t + 26. Let c(i) = -15*i**3 + 25*i**2 + 15*i - 25. Let g(u) = -6*c(u) - 5*r(u). Factor g(f).
5*(f - 2)*(f - 1)*(f + 2)
Suppose 8337 - 4*s**4 + 64*s**2 - 2577 - 3315*s + 28*s**3 + 264*s**2 + 371*s = 0. What is s?
-10, 4, 9
Let w(n) = 14*n. Let g be w(0). Let y(h) be the third derivative of 0*h - 1/30*h**5 + 5*h**2 + g - 1/4*h**4 - 2/3*h**3. Solve y(v) = 0 for v.
-2, -1
Let j be (6/4)/(54/180). Factor 113 - 58 + 4*t**4 + t**5 - 55 + 2*t**2 + j*t**3.
t**2*(t + 1)**2*(t + 2)
Let 946688/11 - 2752/11*p + 2/11*p**2 = 0. What is p?
688
Let g(j) be the third derivative of -j**7/1260 - j**6/360 + j**5/10 + 7*j**4/24 + j**2 + 2*j. Let v(i) be the second derivative of g(i). Factor v(z).
-2*(z - 2)*(z + 3)
Find k such that -9/2 + 35/8*k**2 - 5/8*k**4 + 1/4*k**5 - 5/2*k**3 + 15/2*k = 0.
-2, 1/2, 3
Suppose m - 2308 = -4*b, 3*m - 8669 + 1790 = 3*b. Let h be -1 + 2/4*m/123. Factor h*g**3 - 8*g + 5*g**2 - 16/3.
(g - 1)*(5*g + 4)**2/3
Let w be 180/6*14/105. Let d(a) be the second derivative of -1/110*a**5 + 1/33*a**3 - w*a + 0 + 1/66*a**4 - 1/11*a**2. Factor d(k).
-2*(k - 1)**2*(k + 1)/11
Let c(t) = 8*t**2 + 1140*t + 68451. Let d(j) = 15*j**2 + 2290*j + 136900. Let f(l) = -5*c(l) + 3*d(l). Suppose f(i) = 0. Calculate i.
-117
Suppose 99*x + 36 = 432. Let j(o) be the first derivative of 19 + 9/32*o**x + 3/4*o - 15/16*o**2 - 1/2*o**3. Factor j(n).
3*(n - 2)*(n + 1)*(3*n - 1)/8
Let s(k) be the third derivative of -2/15*k**3 + 1/60*k**4 + 1/150*k**5 + 0 - 13*k**2 + 0*k. What is n in s(n) = 0?
-2, 1
Let u be (12 + -12)/(-1 + 3). Find o such that -5*o - 5*o**5 - 3*o**4 + 9 - 20*o**2 + 1 + 10*o**3 + 13*o**4 + u*o = 0.
-1, 1, 2
Let a(j) be the third derivative of -2/75*j**5 + 0*j + 31*j**2 + 0*j**4 + 0*j**3 + 0 + 1/210*j**8 - 17/525*j**7 + 1/15*j**6. Factor a(k).
2*k**2*(k - 2)**2*(4*k - 1)/5
Let x(p) = p**2 - 13*p - 1596. Let g be x(47). Suppose -10/17*u + 2/17*u**g + 8/17 = 0. What is u?
1, 4
Suppose 0 = -2*f - 12, k - 9817*f = -9818*f - 3. Let 0 - 2*c**2 - 1/2*c**5 + 0*c - 4*c**k - 5/2*c**4 = 0. What is c?
-2, -1, 0
Suppose 366*a**2 + 429 + 5*a + 121 - 182*a**2 - 189*a**2 = 0. Calculate a.
-10, 11
Let c(y) be the first derivative of -y**3/3 - 399*y**2 - 159201*y + 251. Let c(k) = 0. Calculate k.
-399
Let d(y) = y**3 + 4*y**2 - 2*y + 2. Let h be d(0). Let o be (130/55 - 2)/h. Suppose 0*f - 2/11*f**2 - o*f**3 + 0 = 0. Calculate f.
-1, 0
Factor 4/9*j**2 - 2/9*j**4 - 16/3*j + 0 + 10/9*j**3.
-2*j*(j - 4)*(j - 3)*(j + 2)/9
Let t(s) be the first derivative of -54*s**5/5 - 999*s**4 - 2616*s**3 - 2600*s**2 - 1152*s + 7542. Solve t(b) = 0 for b.
-72, -2/3
Let y(l) be the first derivative of -1/5*l**3 - 6/5*l + 9/10*l**2 + 113. Factor y(f).
-3*(f - 2)*(f - 1)/5
Let f be (-2)/16*(-4)/6*4. Let a = f + 11/12. Find z such that 9/4*z**3 + 1/4*z**5 - a*z**4 + 1/2*z - 7/4*z**2 + 0 = 0.
0, 1, 2
Let h(x) be the first derivative of 1/3*x**4 + 0*x + 4/9*x**3 + 0*x**2 - 1/18*x**6 - 95 - 1/15*x**5. Find z such that h(z) = 0.
-2, -1, 0, 2
Let j = -413 + 417. Suppose 4 = -4*c - d, 7*c - 3*d - 12 = j*c. Suppose 4/9*i**2 - 4/9*i**3 - 4/9*i**4 + 4/9*i + c = 0. What is i?
-1, 0, 1
Let m(k) be the third derivative of 1/24*k**5 + 1/140*k**7 + 1/48*k**4 + 0*k + 7/240*k**6 + 0 - 43*k**2 + 0*k**3. Let m(d) = 0. What is d?
-1, -1/3, 0
Suppose -4*y - 3*q + 36 = 0, -25 = q - 33. Let b(l) be the first derivative of -12/7*l - 2/21*l**y + 21 - l**2. Factor b(o).
-2*(o + 1)*(o + 6)/7
Let w(t) be the first derivative of -t + 7/12*t**2 - 21 + 0*t**3 - 1/24*t**4. Factor w(a).
-(a - 2)*(a - 1)*(a + 3)/6
Let x(n) be the second derivative of -n**5/15 + n**4/2 + 17*n**2/2 + n + 15. Let t(m) be the first derivative of x(m). Determine f so that t(f) = 0.
0, 3
Factor 75*s**3 + 5*s**4 + 420*s + 200 + 79*s**2 + 0*s**4 - 11*s**2 + 97*s**2 + 125*s**2.
5*(s + 1)*(s + 2)**2*(s + 10)
Let i be 5/50*-4286*(-1)/2148. Let s = i - -1/2148. Factor 49/5 - 14/5*o + s*o**2.
(o - 7)**2/5
Let r be 256/1152 + 6/(-8) + 1072/576. Factor r*u - 4/9*u**2 + 40/9.
-4*(u - 5)*(u + 2)/9
Let m be (-8)/4 - ((-3 - -4) + -7). Determine x so that 5*x**4 + 51*x + 168*x**2 - x**3 - x**m - 300 + 29*x + 49*x**3 = 0.
-5, -3, 1
Factor 25/2*m + 1/4*m**5 - 13/4*m**4 + 57/4*m**3 - 95/4*m**2 + 0.
m*(m - 5)**2*(m - 2)*(m - 1)/4
Let i(w) be the first derivative of 35*w - 302 - 15*w**2 - 5/3*w**3. Factor i(b).
-5*(b - 1)*(b + 7)
Let f(y) be the third derivative of 1/33*y**4 + 0 - 7/660*y**6 + 3/110*y**5 - 1/231*y**7 - 2*y**2 + 31*y + 1/616*y**8 - 4/33*y**3. Let f(p) = 0. What is p?
-1, 2/3, 1, 2
Let u(j) = -25*j**4 - 168*j**3 + 182*j**2 + 2744*j - 4788. Let k(c) = -12*c**4 - 84*c**3 + 92*c**2 + 1372*c - 2395. Let o(g) = 7*k(g) - 3*u(g). Factor o(b).
-(b + 7)**2*(3*b - 7)**2
Let g be (-306)/(-54)*(-32)/(-68). What is b in 2/3*b**4 - 2*b**2 - g + 4/3*b**3 - 16/3*b = 0?
-2, -1, 2
Let p be 54/126 - (-6 + (-90)/(-14)). Let j(v) be the second derivative of 20*v + 3/100*v**5 + 0 + 1/20*v**4 + p*v**2 + 1/30*v**3 + 1/150*v**6. Factor j(f).
f*(f + 1)**3/5
Let n(c)