 48 - 44 - 4180*k + 138 - 9 + 1046*k**2 = 0. What is k?
-2/523, 4
Suppose -10 = -v - r, 3*v - 3*r + 6 = 18. Let k be 1*4*(690/(-100) + v). Suppose 6/5*a**2 + 4/5*a + k*a**3 + 0 = 0. Calculate a.
-2, -1, 0
Solve 74547 - 75545 + s**2 + 449*s - 1446*s = 0 for s.
-1, 998
Let v(q) = -24*q**3 + 58*q**2 + 2. Let c(x) = -62*x**3 + 115*x**2 + 5. Let s(d) = 2*c(d) - 5*v(d). Factor s(f).
-4*f**2*(f + 15)
Suppose 3*w - 3 = 2*w. Let h(v) = 6*v**2 + 2*v - 20. Let l = -27 + 19. Let d(b) = 2*b**2 + b - 7. Let f(x) = l*d(x) + w*h(x). Factor f(g).
2*(g - 2)*(g + 1)
Let j(v) be the third derivative of -v**7/70 - v**6/10 - 3*v**5/20 - 7*v**2 - 49. Let j(f) = 0. What is f?
-3, -1, 0
Suppose 42*b - 37*b = 10. Factor -6*o**2 + 12*o**b - 12*o**2 - 44*o + 2*o**2.
-4*o*(o + 11)
Let 21*w**3 + 132*w - 180*w**2 + 24*w**4 + 360 - 78*w**2 + 3*w**5 + 11*w**3 - 41*w**3 = 0. What is w?
-6, -5, -1, 2
Let s = 12397 + -12394. Let d(l) be the first derivative of 6/7*l - 9 + 5/14*l**2 - 1/21*l**s. Solve d(a) = 0.
-1, 6
Let d(m) be the second derivative of m**6/210 - m**5/20 + m**4/6 - 4*m**3/21 + 331*m. Find u such that d(u) = 0.
0, 1, 2, 4
Let m be -2 + 20/11 + (36 - (-13357)/(-407)). Let y(i) be the first derivative of 6*i**2 + 0*i - 3/20*i**5 - 27 - 21/16*i**4 - 2*i**m. Factor y(g).
-3*g*(g - 1)*(g + 4)**2/4
Let f(k) be the second derivative of 4*k**2 + 0 - 240*k + 3*k**3 - 4/5*k**5 - 2/5*k**6 + 1/3*k**4 - 1/21*k**7. Factor f(g).
-2*(g - 1)*(g + 1)**3*(g + 4)
Let z be 90/(-20) - -3 - 55/(-35). Let i(j) be the second derivative of 0 + 13*j - 1/21*j**3 + z*j**4 + 0*j**2. Factor i(n).
2*n*(3*n - 1)/7
Let j(l) = -l**2 + l - 1. Let m(b) = 5*b**2 + 12*b + 67. Let o(q) = -6*j(q) - m(q). Let c be o(21). Factor 4/3 - 14/9*p + 2/9*p**c.
2*(p - 6)*(p - 1)/9
Let q(g) = 15*g**4 + 2*g**2 - g. Let z(d) = 42*d**4 - 33*d**3 - 45*d**2 + 210*d - 126. Let o(c) = 3*q(c) - z(c). Let o(y) = 0. What is y?
-7, -6, 1
Let z be 23/((-4830)/5160) - -26. What is x in -2/7*x**3 - 12/7 + 4/7*x**2 + z*x = 0?
-2, 1, 3
Let h be (-48)/(-15) + (-1 - 1). Let y be 1/(-1)*(-10 + 8). Factor 0 + 0*r - 2/5*r**4 - 4/5*r**3 + h*r**y.
-2*r**2*(r - 1)*(r + 3)/5
Find p, given that -656/15*p**2 - 746/15*p + 8/3*p**4 - 88/5 - 44/5*p**3 - 2/15*p**5 = 0.
-1, 11, 12
Let l be (-50)/15*(-15)/25. Find c such that 98 - c**3 + 0*c + 92 - 5*c**l + c - 185 = 0.
-5, -1, 1
Factor -72 - 2/3*u**3 + 18*u**2 + 8/3*u.
-2*(u - 27)*(u - 2)*(u + 2)/3
Let d(m) = -2*m**3 - 24*m**2 - 14*m + 34. Let h(a) = -8*a**3 - 119*a**2 - 69*a + 175. Let f(s) = -11*d(s) + 2*h(s). Factor f(j).
2*(j + 2)*(j + 3)*(3*j - 2)
Let r = -222 + 146. Let i = r + 80. Factor 32*w**3 + 48*w + 16 - 9*w**5 + 3*w**5 + 7*w**5 + 9*w**i + 56*w**2.
(w + 1)*(w + 2)**4
Let z(s) be the second derivative of 5/48*s**4 + 15/8*s**3 + 25/2*s**2 - 46*s + 0. Suppose z(v) = 0. Calculate v.
-5, -4
Let o(w) be the first derivative of w**6/180 - w**5/5 + 9*w**4/4 - 13*w**2/2 - w - 65. Let s(f) be the second derivative of o(f). Let s(y) = 0. Calculate y.
0, 9
Let s(i) be the second derivative of i**5/40 - 2*i**4/9 + 7*i**3/9 + 85*i**2/2 - 41*i. Let n(r) be the first derivative of s(r). Suppose n(b) = 0. What is b?
14/9, 2
Factor 4*o**3 - 1792 - 37*o**2 + 27427*o - 55*o**2 - 13163*o - 13560*o.
4*(o - 8)**2*(o - 7)
Let y(b) be the second derivative of -1 + 200/3*b**2 + 1/36*b**4 - 20/9*b**3 + 7*b. Factor y(t).
(t - 20)**2/3
Let n be (-1*2)/(57 + -129). Let p(h) be the second derivative of -n*h**4 - 1/36*h**3 + 0 - 5*h + 1/120*h**5 + 1/6*h**2. Factor p(j).
(j - 2)*(j - 1)*(j + 1)/6
Suppose -181*i + 534 = -3*i. Find z such that 0 - 4/7*z**2 - 10/7*z**i + 0*z = 0.
-2/5, 0
Let g(c) be the first derivative of c**7/14 + c**6/10 - 9*c**5/20 - 5*c**4/4 - c**3 + 189*c + 165. Let q(t) be the first derivative of g(t). Factor q(a).
3*a*(a - 2)*(a + 1)**3
Let v(q) be the third derivative of -1/180*q**5 - 11*q + 0*q**3 + 0 - 11/36*q**4 + 5*q**2. Factor v(w).
-w*(w + 22)/3
Factor 186/7*l + 0 + 188/7*l**2 + 2/7*l**3.
2*l*(l + 1)*(l + 93)/7
Let j(n) be the first derivative of -n**5 + 85*n**4/4 + 580*n**3 + 277. Let j(b) = 0. Calculate b.
-12, 0, 29
Let d(i) be the first derivative of 5*i**6/6 + 5*i**5 + 5*i**4/2 - 100*i**3/3 - 60*i**2 - 2929. Determine g so that d(g) = 0.
-3, -2, 0, 2
Let q(n) = 2*n**3 + n**2 - 3*n - 1. Let z(h) = 3*h**3 - 93*h**2 - 102*h - 3. Let c(t) = 3*q(t) - z(t). Factor c(x).
3*x*(x + 1)*(x + 31)
Let d be (-6)/((-7)/((-196)/(-21))) + (-235)/30. Let y(r) be the first derivative of 1/12*r**4 - 7 + 0*r + 0*r**3 - d*r**2. Let y(b) = 0. What is b?
-1, 0, 1
Let r be (-90)/(-25) + 0 - 2/(-5). Factor 67*j**2 + 14*j - 2*j**4 - 141*j**2 + 10*j**3 - r + 56*j**2.
-2*(j - 2)*(j - 1)**3
Suppose 0 = -t + 2*j + 2, 4*t + 4*j - 7*j = 3. Suppose -4*q + 2*d + 16 = t, -2*q = -7*d + 8*d - 4. Find i, given that -i**2 + 8/5*i + 1/5*i**q - 4/5 = 0.
1, 2
Suppose -16*s = 2227 - 2899. Let b(k) be the second derivative of -s*k - 1/15*k**5 + 0*k**2 + 0 + 0*k**3 - 2/27*k**4. Factor b(y).
-4*y**2*(3*y + 2)/9
Let q(p) be the first derivative of -p**4/48 - 7*p**3/24 - 5*p**2/4 + 216*p - 159. Let u(g) be the first derivative of q(g). What is r in u(r) = 0?
-5, -2
Let d(a) be the second derivative of -a**6/3060 - 37*a**5/1020 - 3*a**4/17 + 2*a**3/3 + a**2 + 107*a. Let l(s) be the second derivative of d(s). Factor l(f).
-2*(f + 1)*(f + 36)/17
Let o be 2/(-2) + (-9 - (-8764)/(-14)). Let j = 639 + o. Let -17*v**4 - 224/3*v - j*v**5 + 8/3*v**3 + 64/3 + 212/3*v**2 = 0. Calculate v.
-4, 2/3, 1
Solve -12*t**3 + 52*t**4 - 64 - 21*t**4 - 29*t**4 + 8*t**3 + 80*t + 0*t**2 - 24*t**2 = 0.
-4, 2
Find f such that 127/4*f**2 + 248*f - 64 + f**3 = 0.
-16, 1/4
Let z(r) be the third derivative of -5*r**8/112 - 431*r**7/35 - 40559*r**6/40 - 145393*r**5/10 - 86305*r**4/2 - 47068*r**3 + 3289*r**2. Solve z(g) = 0 for g.
-82, -7, -1, -2/5
Let j(a) be the second derivative of -a**8/5040 + a**7/1260 - a**6/1080 + a**3/3 + 91*a**2/2 - 45*a. Let g(s) be the second derivative of j(s). Solve g(n) = 0.
0, 1
Suppose -3441*n = -3429*n - 24. Let s(w) be the first derivative of 4*w - 4/3*w**3 + 1/2*w**4 - w**n - 34. Factor s(v).
2*(v - 2)*(v - 1)*(v + 1)
Suppose -199*k - 39 = -212*k. Let q(c) be the third derivative of -7/4*c**4 - 6*c**2 + 1/10*c**5 + 0 + 0*c + 49/3*c**k - 1/420*c**6. Factor q(p).
-2*(p - 7)**3/7
Let k(v) be the first derivative of -3*v**5/10 + 45*v**4/8 + 17*v**3 + 2561. Find w such that k(w) = 0.
-2, 0, 17
Let z(d) be the first derivative of 2*d**3/45 - 142*d**2/5 + 30246*d/5 + 841. Factor z(k).
2*(k - 213)**2/15
Suppose -4*v + 2*f = 4908, 4*f - 1878 = 5*v + 4254. Let j = 3686/3 + v. Factor j*n + 2/3*n**4 + 2/3*n**5 + 2/3 - 4/3*n**3 - 4/3*n**2.
2*(n - 1)**2*(n + 1)**3/3
Let d be (-8)/(-2)*(3 + 54019/14). Factor -15451*z**4 + d*z**4 + 3*z**3 + 2*z**3.
-5*z**3*(z - 1)
Let u = -2 - -13. Suppose 3*c + u = -d, 0 = d - c - 0*c - 9. Factor 5*n**3 - 42 + 5*n**3 - 10*n - 5*n**d + 86 - 39.
-5*(n - 1)**3*(n + 1)
Let h be ((20 + 101)/(-11) - -9)/((-12)/2). Factor -5/6*k - h - 1/6*k**3 - 2/3*k**2.
-(k + 1)**2*(k + 2)/6
Let l = 140 - 138. What is p in -6*p**2 + l*p**2 - 31 + 75 - 28 = 0?
-2, 2
Let u be 12/9*6 + -3. Suppose 0*q - 3*q + 31 = 5*s, 0 = -5*q + s + u. Determine y, given that 0*y**q + 12*y - y**2 + 5*y**2 - 16 + 0*y**2 = 0.
-4, 1
Suppose -16 = 4*g, 5*g = 29*t - 26*t - 29. Let k(w) be the second derivative of 1/2*w**t - 5*w + 0*w**2 + 1/8*w**4 - 9/40*w**5 + 0. Factor k(a).
-3*a*(a - 1)*(3*a + 2)/2
Let g be ((-16)/4)/(112/140) + (0 - -8). Determine i so that 2/9*i**g + 4/3 + 0*i**2 - 14/9*i = 0.
-3, 1, 2
Let j(i) be the third derivative of i**5/30 - i**4/4 - 4*i**3/3 + 2*i**2 - 61*i + 1. Find a such that j(a) = 0.
-1, 4
Factor -50/3 + v**2 - 115/6*v.
(v - 20)*(6*v + 5)/6
Let i(s) = s**3 - 5*s**2 - 16*s + 2. Let l be i(-2). Let b(v) be the first derivative of 0*v + l - 2/3*v**3 - v**2. Factor b(f).
-2*f*(f + 1)
Let d(p) be the third derivative of 2*p**7/105 + p**6/30 - 59*p**5/3 + 863*p**4/6 - 380*p**3 + 2*p**2 - 57*p - 6. Let d(z) = 0. What is z?
-19, 1, 2, 15
Suppose 0 = -12*k + 19*k - 273. Suppose 8 - 8 = k*b. Let -2*n**4 + 18/13*n**3 - 4/13*n + 10/13*n**5 + b + 2/13*n**2 = 0. What is n?
-2/5, 0, 1
Let z(n) = -7*n. Let u(v) = 2*v. Let q(i) = 4*u(i) + z(i). Let m(k) = 2*k**2 - 80*k + 648. Let t(s) = -m(s) - 8*q(s). Factor t(h).
-2*(h - 18)**2
Le