 + 1)
Determine u, given that 144/7 + 6/7*u**2 + 116/7*u = 0.
-18, -4/3
Let i be ((-204)/1785)/(21/(-735)). Suppose -12/5*c**2 + 4/5*c**i - 32/5*c - 16/5 + 8/5*c**3 = 0. What is c?
-2, -1, 2
Find u such that -192/5 + 224/5*u + 0*u**4 + 2/5*u**5 + 12/5*u**2 - 46/5*u**3 = 0.
-4, -3, 1, 2, 4
Let t(f) be the first derivative of 2*f**5/5 - 21*f**4/2 - 98*f**3/3 + 69*f**2 + 2537. Factor t(y).
2*y*(y - 23)*(y - 1)*(y + 3)
Factor 1755 - 81575481*f - f**2 - 2*f**2 + 81575649*f.
-3*(f - 65)*(f + 9)
Let c(u) be the second derivative of -u**7/231 - 34*u**6/165 - 84*u**5/55 + 1040*u**4/33 - 3200*u**3/33 - 1011*u. Find z such that c(z) = 0.
-20, 0, 2, 4
Let y(l) be the second derivative of -l**5/60 + 3*l**4/4 + 62*l**3/9 - 2091*l. Determine v, given that y(v) = 0.
-4, 0, 31
Let n(x) be the first derivative of 4*x**3/27 + 341*x**2/9 - 38*x + 131. Factor n(u).
2*(u + 171)*(2*u - 1)/9
Suppose 183 = -10*s + 333. Determine b so that -20*b**3 - 100 + 220*b - 25*b**2 + 40 - s*b**3 = 0.
-3, 2/7, 2
Let v(r) be the third derivative of -r**6/150 - r**5/3 - 32*r**4/5 - 312*r**3/5 + 680*r**2. Suppose v(j) = 0. Calculate j.
-13, -6
Factor 1/4*f**2 + 271441 + 521*f.
(f + 1042)**2/4
Suppose -3*v - v + v = 0. Let h be 16 + v + 4/1. What is q in -19*q - 6*q - 110*q**3 - h*q + 40*q**4 + 120*q**2 - 5*q**5 = 0?
0, 1, 3
Determine j, given that 0*j**5 + 5*j**5 - 361*j**3 + 16*j**4 - 93*j + 125*j**3 + 119*j**3 + 13*j - 424*j**2 = 0.
-4, -1/5, 0, 5
Suppose c - 38 = -3*s, 619*c - 24 = 623*c - 4*s. Factor 2/7*d + 0 + 4/7*d**2 - 4/7*d**4 + 0*d**3 - 2/7*d**c.
-2*d*(d - 1)*(d + 1)**3/7
Let t(u) be the second derivative of -3/11*u**3 + 1/22*u**5 + 0 + 138*u + 0*u**2 + 1/22*u**4 + 1/165*u**6. Factor t(l).
2*l*(l - 1)*(l + 3)**2/11
Let i(n) = -n**2 - n + 1. Let x(s) = 0 + 50*s**2 + 3 - 20*s**3 - 34*s - 2 + 5. Suppose 49*k - 28 - 70 = 0. Let a(t) = k*i(t) + x(t). Factor a(w).
-4*(w - 1)**2*(5*w - 2)
Let w = 12075 + -60374/5. Let b(x) be the third derivative of 0*x + 8/9*x**3 + w*x**5 + 2/3*x**4 + 0 - 37*x**2. Let b(z) = 0. What is z?
-2/3
Let i(b) be the second derivative of -b**6/6 + 13*b**5/2 - 545*b**4/12 - 650*b**3 - 2250*b**2 + 1477*b. Factor i(h).
-5*(h - 15)**2*(h + 2)**2
Suppose -w - 2 = w, 3*u - w = 112. Let x = u - 32. Suppose -94*p + 2*p**x - 69*p**2 - 28*p**4 - 6*p**5 + 62*p - 11*p**2 - 72*p**3 = 0. Calculate p.
-2, -1, 0
Let r(v) = 17*v**2 + v + 1. Let j(f) = -52*f**2 - 66*f - 125. Let k(s) = 2*j(s) + 6*r(s). Find p such that k(p) = 0.
-61, -2
Let u(p) = 2504 + 332*p - 5677 - 3553. Let m(l) = -2*l**2 - 2*l + 1. Let w(b) = 2*m(b) + u(b). Factor w(g).
-4*(g - 41)**2
Let q(o) be the third derivative of 5*o**8/48 - 65*o**7/42 + 13*o**6/8 + 253*o**5/12 + 235*o**4/12 - 40*o**3 - 26*o**2 - o. Solve q(p) = 0.
-1, 2/7, 3, 8
Suppose -y = -l - 23, 2*y + 3*l = 2*l + 49. Factor -2*w**2 + y - 131*w + 268*w - 129*w.
-2*(w - 6)*(w + 2)
Let x(r) be the third derivative of 0*r - 2/15*r**5 - 1/60*r**6 + 0 + 11/12*r**4 - 2*r**3 + 17*r**2. What is j in x(j) = 0?
-6, 1
Let y(n) be the second derivative of n**6/40 - 51*n**5/20 + 99*n**4/8 - 49*n**3/2 + 82*n**2 + 106*n. Let i(g) be the first derivative of y(g). Factor i(b).
3*(b - 49)*(b - 1)**2
Let z = 185282 + -185278. Determine j so that 32/7*j**2 + 4/7*j**z + 24/7*j - 36/7 - 24/7*j**3 = 0.
-1, 1, 3
Let a = -167670 - -167675. Factor 0 - 19/3*f**4 + 1/3*f**a - 400/3*f**2 + 448/3*f + 44*f**3.
f*(f - 7)*(f - 4)**3/3
Let b(z) = 5*z + 10. Let x be b(-2). Let v(t) be the first derivative of -4 + x*t - 4/3*t**3 + 2*t**2 + 5*t**5 - 25/4*t**4. Factor v(m).
m*(m - 1)*(5*m - 2)*(5*m + 2)
Let a(j) = -j**3 + 21*j**2 + 22*j + 3. Let q be a(22). Suppose -4 - o**4 - 674*o**q + 6*o - 13*o**2 + 668*o**3 - 18*o = 0. Calculate o.
-2, -1
Factor -184/9*w - 44 + 1/9*w**3 + w**2.
(w - 11)*(w + 2)*(w + 18)/9
Let r = -309866/7 - -44268. Let 8/7*h + r*h**3 + 16/7*h**2 + 2/7*h**4 + 0 = 0. Calculate h.
-2, -1, 0
Suppose 64 = -15*z - 0*z + 229. Let c(f) be the second derivative of -z*f + 10/9*f**3 + 2*f**2 + 0 + 1/9*f**4 - 1/15*f**5. Suppose c(g) = 0. Calculate g.
-1, 3
Let h(j) be the first derivative of j**4/8 - 25*j**3/3 - 157*j**2/4 - 53*j + 6765. Determine g, given that h(g) = 0.
-2, -1, 53
Let u(j) be the first derivative of -j**4/90 - 38*j**3/45 - 361*j**2/15 - 65*j - 39. Let r(f) be the first derivative of u(f). Solve r(g) = 0.
-19
Let w(h) be the first derivative of -h**7/8820 - h**6/945 + h**5/420 + h**4/14 - 20*h**3 - 50. Let q(u) be the third derivative of w(u). What is o in q(o) = 0?
-3, 2
Let m = 186/211 + 261/422. Suppose -21/2*d**2 + 17/2*d - 9/2*d**3 - m = 0. Calculate d.
-3, 1/3
Let u(m) = -m**3 - 6*m**2 + 3*m + 6. Let d be u(-8). Factor 83*t**3 - d*t**3 - 19*t**2 + 21*t**4 + 25*t**2.
3*t**2*(t - 1)*(7*t - 2)
Let j(c) = 13*c**2 + 15*c - 40. Let z(v) = -18*v**2 - 23*v + 61. Let i(u) = 7*j(u) + 5*z(u). Determine w, given that i(w) = 0.
5
Let r(y) = -178*y**2 + 9*y - 2. Let c(m) = -2135*m**2 + 100*m - 25. Let g(p) = 2*c(p) - 25*r(p). Factor g(f).
5*f*(36*f - 5)
Let j(k) be the third derivative of k**7/210 - 7*k**6/18 + 87*k**3/2 + 169*k**2. Let s(f) be the first derivative of j(f). Determine c so that s(c) = 0.
0, 35
Let z(p) be the second derivative of -p**4/78 - 202*p**3/39 - 10201*p**2/13 - 1128*p. What is a in z(a) = 0?
-101
Suppose 58*o - 167 = 65. Let l(k) be the first derivative of -5/2*k**4 + o*k**2 - 11 + 16*k - 4*k**3 - 2/5*k**5. What is s in l(s) = 0?
-2, 1
Suppose -t + 4*q = -10, t - 5*q + 5 - 17 = 0. Let -323 - 216*r + r**2 + 0*r**2 - 2*r**2 + 103 + 5*r**t = 0. What is r?
-1, 55
Suppose -4*i = -31*i + 1485. Let k be ((-10)/i)/(1/(-11)). Let 4/3 + 2/3*w**2 - k*w = 0. Calculate w.
1, 2
Suppose -10*n + 34*n = 1200. Factor 45*w**3 + 2565*w - 2565*w + n*w**2 - 5*w**4.
-5*w**2*(w - 10)*(w + 1)
Suppose -261 + 75/8*y**4 - 1665/8*y**3 - 7209/4*y**2 - 2679/2*y = 0. What is y?
-6, -2/5, 29
Let m(c) be the third derivative of -1/36*c**6 - 1/10*c**5 - 1/315*c**7 + 0*c - 2/9*c**3 - 7/36*c**4 + 52*c**2 - 3. Factor m(w).
-2*(w + 1)**3*(w + 2)/3
Suppose -15*x + 59 = -31. Suppose -4*p + p - 3*k + 12 = 0, -3*p + x = -3*k. Factor -z - 1/7*z**p + 3/7 + 5/7*z**2.
-(z - 3)*(z - 1)**2/7
Suppose 4*u = -2*c + 260, 0 = 3*c - 8*c + 3*u + 611. Factor -2*j**3 + c*j**2 - 10*j + 0*j**3 - 112*j**2.
-2*j*(j - 5)*(j - 1)
Let z(g) be the first derivative of -g**6/2340 + g**5/780 + g**4/78 - 9*g**3 - 25. Let x(n) be the third derivative of z(n). Find a such that x(a) = 0.
-1, 2
Factor -74/9*n + 0 - 2/9*n**2.
-2*n*(n + 37)/9
Let y(f) be the third derivative of f**8/2184 - 37*f**7/1365 + 7*f**6/20 + 349*f**5/390 - 137*f**4/78 - 8*f**3 - 6487*f**2. Find k, given that y(k) = 0.
-1, 1, 12, 26
Let f(g) = 5*g + 2. Let t(j) = j + 6. Let x be t(-6). Let c be f(x). Factor -15 + 144*n - 177 - 3060*n**c + 3033*n**2.
-3*(3*n - 8)**2
Suppose -6*x + 2*x + 16 = 0, -392 = -3*o - 2*x. Suppose 16*y - o = -16*y. Find i such that 0 + 4/7*i**3 + 0*i + 2/7*i**2 + 2/7*i**y = 0.
-1, 0
Let x be ((-11)/(21/3 - 6) - -11)/(-2). What is p in x*p**2 + 0 - 2/5*p**3 + 10*p = 0?
-5, 0, 5
Let x = -103859/180 + 577. Let m(q) be the third derivative of 1/9*q**3 + 0*q + 0 - x*q**5 + 2*q**2 + 1/72*q**4. Determine l so that m(l) = 0.
-1, 2
Suppose -4*s + 4 = 4*z, -20*z + 24*z + 3*s = 5. Factor -39*d**3 + 0*d**4 + 24 - 16*d - 2*d**4 + 6*d**z - 28*d + 4*d + 51*d**3.
-2*(d - 6)*(d - 1)**2*(d + 2)
Let p be (160/24)/(10/(-50)*50/(-6)). Let 0*c + 2/5*c**p + 2/5*c**3 - 2/5*c**2 + 0 - 2/5*c**5 = 0. What is c?
-1, 0, 1
Suppose 0 = 21*q - 35*q. Factor q*f**2 + f + f**2 - 7*f - 5*f + 4*f.
f*(f - 7)
Let h(c) = -10*c**3 + 75*c**2 + 110*c - 170. Let r(b) = -21*b**3 + 149*b**2 + 221*b - 340. Let v(a) = -9*h(a) + 5*r(a). Solve v(u) = 0 for u.
-2, 1, 17/3
Let n(l) = 31*l**3 - 135*l**2 + 217*l - 105. Let p(i) = -20*i**3 + 90*i**2 - 145*i + 70. Let a(o) = 5*n(o) + 8*p(o). Determine g, given that a(g) = 0.
1, 7
Let b(c) be the third derivative of -c**6/420 + 8*c**5/105 - 5*c**4/12 - 52*c**3/21 + 1569*c**2. Find u, given that b(u) = 0.
-1, 4, 13
Let g be (-20)/(-16)*(2 - (16 - 8)) - 50/(-5). Let 55/4*l**2 - g + 105/4*l = 0. What is l?
-2, 1/11
Suppose -c - 4 = 0, 3*c - 1 = -3*n + 2. Suppose -n*o**3 + 4 - 22*o**2 + 57*o**2 - 4 = 0. Calculate o.
0, 7
Factor 124848 - 199045*v**4 - 929*v**3 + 199149*v**4 - 2*v**5 + 18180*v**2 - 1089*v**3 - 77112