f o**4/42 + 8*o**3/63 + 4*o**2/21 - 5*o - 36. Let v(z) be the first derivative of f(z). What is w in v(w) = 0?
-2, -2/3
Let i(l) = -l**3 - 3*l**2 - 1. Suppose 6*s = 60 - 24. Let n(u) = -u**3 - 4*u**2 - u. Let j(p) = s*i(p) - 5*n(p). Factor j(d).
-(d - 3)*(d - 1)*(d + 2)
Let k(r) be the third derivative of r**6/30 + 3*r**5/5 - 3*r**4/2 - 54*r**3 - 7*r**2 - 3*r - 2. Factor k(z).
4*(z - 3)*(z + 3)*(z + 9)
Let l(b) be the first derivative of -b**5 + 645*b**4/2 - 77885*b**3/3 - 343140*b**2 - 1415120*b + 2549. Let l(h) = 0. What is h?
-4, 133
Suppose 4*u - 28 = -2*f, -4*f + 2*u + 6 = -0*f. Suppose 2*k - 1 - 154*k**2 - f*k + 153*k**2 = 0. Calculate k.
-1
Find y such that -25/3*y**3 + 5*y**2 + 65/3*y - 50/3 - 5/3*y**4 = 0.
-5, -2, 1
Let u(z) = -6*z**2 - 2*z - 7. Let j be u(2). Let d be 469/j + 7 + 7. Factor d*r**4 + 6/5 + 27/5*r**2 - 21/5*r - 3*r**3.
3*(r - 2)*(r - 1)**3/5
Let r(j) be the second derivative of -1/45*j**5 - 4/3*j**2 - 2 + 26*j + 1/135*j**6 - 28/27*j**3 - 19/54*j**4. Find y, given that r(y) = 0.
-2, -1, 6
Suppose 11*q + 4 = 884. Let j be ((-12)/(-20))/(24/q). Determine v, given that 1/11*v**j + 0 + 0*v - 1/11*v**3 = 0.
0, 1
Let t(g) be the second derivative of -g**5/24 - 2485*g**4/36 - 9925*g**3/36 - 1240*g**2/3 - 9*g + 75. Factor t(c).
-5*(c + 1)**2*(c + 992)/6
Let l(a) be the first derivative of -a**5/2 + 115*a**4/24 - 25*a**3/2 - 32*a**2 - 56. Let x(k) be the second derivative of l(k). Solve x(q) = 0.
5/6, 3
Let h(a) be the third derivative of 0*a**3 - 1/180*a**5 - 15 + 0*a - 59/72*a**4 - 2*a**2. Let h(w) = 0. Calculate w.
-59, 0
Let a(u) = 8*u - 124. Let k be a(21). Factor 649*l - 93*l**4 + 49*l**3 + k*l**4 - 354*l**2 + 47*l**4 - 242.
-(l - 11)**2*(l - 2)*(2*l - 1)
Let c = 139550/209307 - 4/69769. Factor 0 - 4/3*k**4 + 8/3*k - 2*k**3 + 8/3*k**2 + c*k**5.
2*k*(k - 2)**2*(k + 1)**2/3
Suppose 4*d - i = 4*i - 3, -d = 2*i - 9. Suppose 30*t - 8*t - 66 = 0. Factor -z**2 + 9*z**3 + 2 - 18*z**d - 1 + z + 8*z**t.
-(z - 1)*(z + 1)**2
Let g(n) be the first derivative of -7*n**8/96 - 8*n**7/15 - 29*n**6/60 - 2*n**5/15 + 53*n**2/2 - 48. Let h(c) be the second derivative of g(c). Factor h(v).
-v**2*(v + 4)*(7*v + 2)**2/2
Let k(r) be the first derivative of r**7/14 + 3*r**6/10 - 3*r**5/20 - 3*r**4/4 - 44*r + 60. Let o(j) be the first derivative of k(j). Factor o(p).
3*p**2*(p - 1)*(p + 1)*(p + 3)
Let y be (-105080)/(-36778)*(-14)/(-16). Factor 0 + 7/2*q + y*q**3 - 1/4*q**4 - 23/4*q**2.
-q*(q - 7)*(q - 2)*(q - 1)/4
Determine o, given that -228/11*o + 2/11*o**2 + 0 = 0.
0, 114
Let k(s) be the second derivative of -1/180*s**5 - 26*s + 0 - 1/72*s**4 + 0*s**3 - 3/2*s**2. Let g(f) be the first derivative of k(f). Factor g(m).
-m*(m + 1)/3
Let d = 363740 - 363736. Find x such that 3*x**3 + 1/2*x**d - 9/2 + 4*x**2 - 3*x = 0.
-3, -1, 1
Let d(i) be the first derivative of 97 + 8/27*i**3 - 4/3*i - 23/9*i**2. Factor d(r).
2*(r - 6)*(4*r + 1)/9
Factor 51/4*x**2 + 30 + 3/4*x**3 - 87/2*x.
3*(x - 2)*(x - 1)*(x + 20)/4
Let l = -299603/2 + 149811. Factor l*y - 1/2*y**2 + 10.
-(y - 20)*(y + 1)/2
Let 44*p + 255*p**2 - 381*p**3 + 120*p - 735 + 386*p**3 + 311*p = 0. Calculate p.
-49, -3, 1
Factor -2/19*n**2 + 24/19*n + 90/19.
-2*(n - 15)*(n + 3)/19
Let r(p) be the third derivative of -p**6/72 + p**5/4 + 115*p**4/36 - 220*p**3/3 + 19*p**2 - 13. Factor r(c).
-5*(c - 11)*(c - 4)*(c + 6)/3
Let y(p) = p**2 - p. Suppose -w - 9 = -2*o, -16 = 3*w - 4*w - 3*o. Let k(v) = -7*v**2 + 6*v + 9. Let f(d) = w*k(d) + 6*y(d). Find n such that f(n) = 0.
-3, 3
Let c(n) be the third derivative of 5*n**8/672 + n**7/12 + n**6/3 + n**5/3 - 5*n**4/3 - 20*n**3/3 + 2245*n**2. Factor c(k).
5*(k - 1)*(k + 2)**4/2
Let r = 205 - 190. Factor 17*w - 1760*w**3 - 44*w**2 + r*w + 1770*w**3 + 2*w**4.
2*w*(w - 2)*(w - 1)*(w + 8)
Let x(q) = -q**2 - 3608*q - 4588151. Let n(u) = 52*u + 1. Let r(k) = -39*n(k) + 3*x(k). Factor r(p).
-3*(p + 2142)**2
Let n(u) = 4*u**4 + 8*u**3 - 94*u**2 + 6*u - 6. Let l(x) = -8*x**4 - 16*x**3 + 187*x**2 - 15*x + 15. Let c(k) = 2*l(k) + 5*n(k). Let c(f) = 0. What is f?
-6, 0, 4
Let u(f) be the third derivative of 0*f**3 - 69*f**2 + 0*f - 1/192*f**6 - 5/96*f**4 - 9/160*f**5 + 0. Factor u(g).
-g*(g + 5)*(5*g + 2)/8
Let s(u) = -6*u + 162. Suppose 4*w - 94 = -2*i + 12, -5*w + 130 = 5*i. Let r be s(w). Factor -1/4*c**3 + 0 + r*c**2 + 1/4*c.
-c*(c - 1)*(c + 1)/4
Factor -40837*h**2 - 35*h + 635*h - 5*h**3 + 0*h**3 + 40242*h**2.
-5*h*(h - 1)*(h + 120)
Let z(x) = 49*x + 198. Let i be z(-4). Suppose y + 3*a = -0*a + 4, 5*y - 5*a - 20 = 0. Let y + 14*q + 5 - q**i - 58 = 0. What is q?
7
Let u(y) be the first derivative of -2*y**3/27 + 62*y**2/9 - 464*y/9 + 1344. Factor u(o).
-2*(o - 58)*(o - 4)/9
Let d be (3*6/1)/(208/(-104)). Let u(t) = -3*t**2 - t + 2. Let f(m) = 13*m**2 + 3*m - 9. Let k(r) = d*u(r) - 2*f(r). Solve k(n) = 0 for n.
-3, 0
Factor 51/4*l**3 + 11655*l + 2700 + 768*l**2.
3*(l + 30)**2*(17*l + 4)/4
Let k(h) = h + 31 - 19 - 13. Let j be k(6). What is b in 4*b**2 - 14*b**2 + j*b**2 + 0*b**2 = 0?
0
Let -11*g**4 + 15*g**3 + 61*g**2 - 544*g + 61*g**2 + 384 - 49*g**5 + 30*g**2 + 50*g**5 + 3*g**3 = 0. What is g?
-4, 1, 4, 6
Let q(h) be the second derivative of h**6/5 - 623*h**5/40 - 689*h**4/24 - h**3/12 + 53*h**2/4 - 597*h. Determine i so that q(i) = 0.
-1, -1/3, 1/4, 53
Let a = 523 - 545. Let o(m) = -5*m**4 - 11*m**2 + 11*m + 11. Let y(j) = j**4 + 2*j**2 - 2*j - 2. Let f(w) = a*y(w) - 4*o(w). Factor f(q).
-2*q**4
Let c(x) be the second derivative of 142 - 32*x**2 + 8*x**3 - 1/5*x**5 + 2*x + 0*x**4. Factor c(m).
-4*(m - 2)**2*(m + 4)
Suppose 3*n + k - 4 = 0, 8*n - 72 = 6*n + 8*k. Let i = 7 + -3. Factor -1/4*b**i + n - 15/4*b**2 - 2*b + 2*b**3.
-(b - 4)**2*(b - 1)*(b + 1)/4
Factor 0*g + 3/4*g**5 + 9747*g**2 + 9576*g**3 + 0 - 681/4*g**4.
3*g**2*(g - 114)**2*(g + 1)/4
Let p be (0 - 0) + (19 - (-495)/(-27)). Let m(y) be the second derivative of 2/21*y**7 - p*y**4 + 0*y**3 + 0*y**2 - 11*y + 0 + y**5 - 8/15*y**6. Factor m(i).
4*i**2*(i - 2)*(i - 1)**2
Suppose 0 = -5*g + 4*g + 2. Suppose 0 = 6*d - g*d - 24. What is x in -x**3 - d*x**3 - 11*x**2 + 9*x**2 - 3*x**5 - 8*x**4 = 0?
-1, -2/3, 0
Suppose -4*s + 67 = 3*w, 2*s - s - 2*w = 3. Let q be 26/12 + s/(-78). Solve 12 - q*n**2 - 18 + 20*n - 44 = 0.
5
Let h(o) be the second derivative of -2*o**7/105 + 22*o**6/75 + 56*o**5/25 + 4*o**4 - 2*o - 3. Suppose h(k) = 0. Calculate k.
-2, 0, 15
Let c(q) be the first derivative of 1/36*q**4 + 8*q + 1/3*q**3 - 17 + 3/2*q**2. Let f(w) be the first derivative of c(w). Let f(s) = 0. Calculate s.
-3
Suppose -11*u + 12078 = -33*u. Let j = u - -3855/7. Suppose 6/7 - 3/7*t**5 + j*t**3 + 0*t**4 - 6/7*t**2 - 9/7*t = 0. Calculate t.
-2, -1, 1
Let y(l) be the second derivative of -41*l - 28*l**2 + 7/5*l**5 + 0 - 74/3*l**3 + 44/3*l**4. Factor y(h).
4*(h - 1)*(h + 7)*(7*h + 2)
Let q(h) = -8*h**3 - 24*h**2 - 1086*h + 4394. Let z(o) = -o**3 - 18*o**2 - o - 1. Let y(b) = -q(b) + 6*z(b). Factor y(d).
2*(d - 22)*(d - 10)**2
Let g be 109/(-2)*2 + 2. Let p = g - -110. Find k such that 21*k - 20*k**p + 17*k**3 - 9*k = 0.
-2, 0, 2
Let y(l) = 80*l + 11. Let t be y(-4). Let j be -7 - t/21 - 4/(-14). Determine m so that -m**2 + 5 + j*m - 12 + 5*m**2 - 5 = 0.
-3, 1
Let p(s) = s**3 - 22*s**2 + 96*s + 3. Let m be p(19). Let u = m - 742. Factor 1/2*c**3 + 4*c + u + 5/2*c**2.
(c + 1)*(c + 2)**2/2
Let j = -103 - -105. What is s in 16*s**2 + 5*s**3 + 10*s**3 + s**2 - 15*s**4 - 6*s - 9*s**5 - j*s**2 = 0?
-2, -1, 0, 1/3, 1
Let t(h) = -1890*h - 1485. Let b(d) = -d**2 - 1973*d - 1486. Let k(n) = -5*b(n) + 6*t(n). Find i such that k(i) = 0.
-1, 296
Suppose -151*a = -3453 + 3151. Find w, given that -6/5*w**a + 52/5*w + 18/5 = 0.
-1/3, 9
Let z(r) = r**3 + 427*r**2 + 2514*r + 3819. Let h(t) = -4*t**3 - 1286*t**2 - 7538*t - 11458. Let k(d) = 6*h(d) + 20*z(d). Factor k(p).
-4*(p - 212)*(p + 3)**2
Let i(c) = -c**2 - 1. Let r = 35 - -9. Let x(z) = z**3 + 7*z - 158. Let w(o) = r*i(o) - 4*x(o). Factor w(u).
-4*(u - 3)*(u + 7)**2
Let v(o) = 2*o**2 + 1. Let r be v(1). Factor -30*j - 2*j**2 - r*j**2 + 123 + 12.
-5*(j - 3)*(j + 9)
Let o = -2421910 + 2421912. Let t = 248/133 + -30/19. Factor -2/7 + 0*i + t*i**o.
2*(i - 1)*(i + 1)/7
Let f(u) be the third derivative of 1/1575*u**7 + 0*u**4 + 0 + 7/900*u**6 + 2/75*u**5 + 0*u**3 + 0*u + 54*u**2. Suppose f(g) 