= 0. What is l?
-2/5, 1, 2
Let i = -2195/9 + 245. Let t(h) be the first derivative of -2/15*h**5 + 2/3*h**2 + 0*h + 1 + 2/3*h**4 - i*h**3. Determine l, given that t(l) = 0.
0, 1, 2
Let a = 4379/55 + -3351011/42570. Let v = a + -1/86. Let -2/9*x**4 + 0 - v*x**3 - 10/9*x**2 - 4/9*x = 0. Calculate x.
-2, -1, 0
Let v(d) be the third derivative of d**7/210 + 7*d**6/6 + 793*d**5/10 - 2485*d**4/6 + 5041*d**3/6 - 2*d**2 - 131. Let v(c) = 0. Calculate c.
-71, 1
Let q(p) be the first derivative of -p**4/12 - 2*p**3/3 - 3*p**2/2 - 4*p/3 + 87. Suppose q(i) = 0. What is i?
-4, -1
Let v(h) be the first derivative of h**5/20 + 3*h**4/4 + 4*h**3 + 10*h**2 + 12*h - 118. Factor v(s).
(s + 2)**3*(s + 6)/4
Let u(a) be the second derivative of -a**7/4410 - a**6/315 - a**5/70 - a**4/4 - 8*a. Let l(z) be the third derivative of u(z). Factor l(s).
-4*(s + 1)*(s + 3)/7
Let b(a) be the third derivative of a**7/84 - 3*a**6/16 + a**5 - 5*a**4/3 - 24*a**2 + 2*a. Factor b(k).
5*k*(k - 4)**2*(k - 1)/2
Factor -4 - 1/2*n**2 + 3*n.
-(n - 4)*(n - 2)/2
Let p(v) be the first derivative of 5*v**3/3 + 115*v**2/2 + 110*v + 159. Factor p(s).
5*(s + 1)*(s + 22)
Let i(l) = l**5 + 1. Let n(p) be the third derivative of p**8/56 + p**7/105 - p**5/30 - p**4/24 + 5*p**3/6 - p**2. Let f(m) = 20*i(m) - 4*n(m). Factor f(d).
-4*d*(d - 1)*(d + 1)**3
Suppose -12 = 11*m - 14*m. Factor 4*l**5 + 0 + 0 + 44*l**3 - 8*l**m - 56*l**3.
4*l**3*(l - 3)*(l + 1)
Factor 13/4*v**3 - 13*v**2 - 16*v + 1/4*v**4 + 0.
v*(v - 4)*(v + 1)*(v + 16)/4
Let t(s) be the third derivative of s**7/735 + s**6/60 - 17*s**5/210 + 3*s**4/28 + 102*s**2. Factor t(m).
2*m*(m - 1)**2*(m + 9)/7
Let u(a) be the third derivative of 4*a**7/105 - a**6/12 - 7*a**5/30 + a**4/6 + a**2 - 65*a. Factor u(g).
2*g*(g - 2)*(g + 1)*(4*g - 1)
Suppose z = a + 32, 4*a - a = 5*z - 160. Factor -16*v**3 + 3*v**4 + 21*v + 6 - 5*v**2 + z*v**2 + 31*v**3.
3*(v + 1)**3*(v + 2)
Let u(m) = -74*m**4 - 50*m**3 + 23*m**2 + 33*m + 34. Let r(s) = -9*s**4 - 6*s**3 + 3*s**2 + 4*s + 4. Let t(l) = -51*r(l) + 6*u(l). Factor t(z).
3*z*(z - 1)*(z + 1)*(5*z + 2)
Let k(s) be the first derivative of s**5 - 5*s**4/4 - 20*s**3 + 605. What is w in k(w) = 0?
-3, 0, 4
Let h(j) be the second derivative of 2*j**6/135 + j**5/15 + j**4/9 + 2*j**3/27 + 261*j. Solve h(g) = 0.
-1, 0
Let o(g) = -15*g**3 + 15*g**2 + 35*g + 5. Let y be (6 - 1)/(-3 + 5 + -1). Let s(j) = -7*j**3 + 8*j**2 + 17*j + 2. Let f(z) = y*s(z) - 2*o(z). Factor f(m).
-5*m*(m - 3)*(m + 1)
Suppose -3*l - 404 = -5*l. Let 0*d - 8*d + l*d**2 - 208*d**2 - 2 = 0. What is d?
-1, -1/3
Let b be (-9*(-2)/(-27))/((-2)/12). Solve 8/7*r + 242/7*r**b + 0 - 80/7*r**2 + 22*r**3 = 0.
-1, 0, 2/11
Let y(o) = -o**3 + 11*o**2 - 27*o + 81. Let k be y(9). Factor -1/7*l**5 + 1/7*l**4 + 0 + k*l - 1/7*l**2 + 1/7*l**3.
-l**2*(l - 1)**2*(l + 1)/7
Suppose 4 = 2*r + 6. Let y be 1/(3 + -4)*r. Determine j, given that 1/2*j + 5/2*j**3 - y + 4*j**2 = 0.
-1, 2/5
Let d = 2 - -3. Let a be 8/10 + 6/d. Determine p so that -8*p + 4*p**3 + 2*p**3 + 4*p**2 - a*p**3 = 0.
-2, 0, 1
Let c(i) = -12*i - 17 + 0*i**2 + 0 - i**2 + 2. Let o(s) = s + 1. Let n = 9 - 8. Let r(q) = n*c(q) + 6*o(q). What is d in r(d) = 0?
-3
Let k(u) = -u**3 + 13*u**2 + 12*u + 31. Let r be k(14). Suppose -29 + 29 + 14*z**4 - r*z**5 - 4*z**3 - 7*z**5 = 0. Calculate z.
0, 2/5, 1
Let -1/2*g**4 - 1/2 - 2*g - 3*g**2 - 2*g**3 = 0. What is g?
-1
Let i(n) = -5*n**3 + 1 + 2*n + 2 - n**2 + 3*n**3. Let s be i(-1). Find w such that -w**s + 0 + 1/2*w + 1/2*w**3 = 0.
0, 1
Let x(u) = 8*u**2 - 20*u - 28. Let i(l) = -3*l**2 + 11*l + 14. Let c(r) = 5*i(r) + 2*x(r). Factor c(f).
(f + 1)*(f + 14)
Let m(z) be the second derivative of -z**8/784 + z**6/140 - z**4/56 - 3*z**2 - 11*z. Let c(b) be the first derivative of m(b). Solve c(y) = 0 for y.
-1, 0, 1
Suppose -9*c + 14*c = 670. Factor -140*n**2 + 2 + 2*n**3 + c*n**2 + 6.
2*(n - 2)**2*(n + 1)
Let t be 5*(448/(-110))/(-16). Solve 4/11 + t*j**4 - 26/11*j + 54/11*j**2 - 46/11*j**3 = 0.
2/7, 1
Let q be 2/18 + (-15)/135. Let p(j) be the second derivative of q*j**2 + 0 - 2/33*j**4 + j + 2/55*j**5 + 1/33*j**3. Factor p(z).
2*z*(2*z - 1)**2/11
Suppose 2*a - 5*c = 1, 3*a + 4399 = 3*c + 4405. Factor -z**a + 0 + 0*z - 1/2*z**4 - 1/2*z**2.
-z**2*(z + 1)**2/2
Let 0 - 2/9*i**3 - 4/9*i**4 - 4/9*i + 10/9*i**2 = 0. Calculate i.
-2, 0, 1/2, 1
Let i(s) be the third derivative of -s**5/90 - 5*s**4/36 - 6*s**2 - 20. Factor i(v).
-2*v*(v + 5)/3
Let a(z) be the second derivative of -2*z**6/45 + 11*z**5/30 + 20*z**4/9 - 25*z**3 + 718*z. Factor a(v).
-2*v*(v - 5)**2*(2*v + 9)/3
Let d(k) be the second derivative of -k**6/10 - 3*k**5/5 - 5*k**4/4 - k**3 - 201*k. Determine i so that d(i) = 0.
-2, -1, 0
Suppose -2*m**4 - 1233*m**2 + 2467*m**2 - 1234*m**2 + 10*m**3 = 0. Calculate m.
0, 5
Let o = 6605/4 - 1646. Let o*s - 15/4*s**2 + 3/4*s**3 - 9/4 = 0. What is s?
1, 3
Suppose 3*r + 2*s = r + 14, 0 = -4*r - 2*s + 18. Factor 6*f**3 - 30*f**3 - 4*f**4 + 10*f**r - 46*f**2.
-4*f**2*(f + 3)**2
Let v(b) be the first derivative of 135*b**4/4 + 182*b**3 + 282*b**2 + 24*b - 153. Factor v(w).
3*(w + 2)**2*(45*w + 2)
Suppose 5*o + 26 = -4*w, -3*w = -2*o + 8 - 0. Let m(l) = l**2 - 2*l - 3. Let i be m(o). Factor -14*y**2 + i*y**2 - y + 2*y**3 + 7*y**2 - 3*y**3.
-y*(y + 1)**2
Let b be (-21)/(-6) + 2/7. Let g = -7/2 + b. Factor 4/7 + g*q**3 + 10/7*q + 8/7*q**2.
2*(q + 1)**2*(q + 2)/7
Let v(s) be the second derivative of -s**5/330 + s**4/132 + 2*s**3/33 + 5*s**2 - 6*s. Let j(c) be the first derivative of v(c). Solve j(p) = 0 for p.
-1, 2
Suppose 0 = -4*v + 3*x + 4 + 47, -2*v + 2*x = -24. Suppose c + v = 19. Factor -4/3*r**3 - 4/3*r**2 + 0 + 4/3*r + 4/3*r**c.
4*r*(r - 1)**2*(r + 1)/3
Let t = -4197/2 + 2045. Let l = -53 - t. Find z, given that 0*z**2 - l*z**5 - 1/2*z**3 + 0 - z**4 + 0*z = 0.
-1, 0
Let h(t) be the first derivative of -t**4/12 - 4*t**3/9 + 7*t**2/6 + 10*t/3 - 545. Let h(d) = 0. What is d?
-5, -1, 2
Let x(b) be the first derivative of 2 - 12*b**2 - 12*b + 6*b**4 + b**3 + 9/5*b**5. Find a, given that x(a) = 0.
-2, -1, -2/3, 1
Let d(k) be the second derivative of 7*k + 0*k**2 - 1/3*k**4 + 5/6*k**3 - 1/20*k**5 + 0. Factor d(i).
-i*(i - 1)*(i + 5)
Let f(d) be the second derivative of 11*d**4/3 + d**3/6 + d**2/2 + d. Let a be f(-1). Factor a*t**3 + 23*t**2 + 9*t**2 + 4*t - 81*t**4 + t**3.
-t*(t - 1)*(9*t + 2)**2
Let x(o) be the third derivative of 11/60*o**5 - 5/6*o**4 + 0 - 2/3*o**3 - 7*o**2 + 0*o. Suppose x(d) = 0. Calculate d.
-2/11, 2
Suppose -338 = -t + 4*k, 369 = -2*t + 2*k + 1045. Factor t*r**3 - 77*r**2 - r + 9*r - 27*r**2.
2*r*(13*r - 2)**2
Let o(n) be the second derivative of 0 + 1/9*n**3 + 1/18*n**4 - 7/24*n**5 + 4*n + 0*n**2. Factor o(m).
-m*(5*m - 2)*(7*m + 2)/6
Suppose 3*c + 17 + 28 = 0. Let d be c/(-9)*(-12)/(-70). Factor -4/7*h - d*h**3 + 0 + 6/7*h**2.
-2*h*(h - 2)*(h - 1)/7
Let o = -78 + 98. Let n be (o/(-15))/((-15)/27). Find y, given that 16/5 + n*y**2 - 24/5*y - 2/5*y**3 = 0.
2
Let c(o) = -28*o**2 - 450*o - 29. Let t be c(-16). Let l(w) be the first derivative of -1/3*w**3 - 5/2*w**2 + 1/4*w**4 - 2 - t*w. Factor l(j).
(j - 3)*(j + 1)**2
Let a(r) = r**2 - 161*r - 21. Let o(t) = -t**2 + 80*t + 12. Let k(l) = 4*a(l) + 7*o(l). Let k(d) = 0. What is d?
-28, 0
Suppose 2/15*f**5 - 4114/15*f + 1804/15*f**2 - 5324/15 + 656/15*f**3 + 64/15*f**4 = 0. Calculate f.
-11, -1, 2
Let g be (6/40)/((-225)/(-3180)) - 2. Let f(r) be the second derivative of g*r**5 + 9/70*r**7 - 13*r + 0 + 0*r**4 + 0*r**3 + 0*r**2 - 6/25*r**6. Factor f(m).
3*m**3*(3*m - 2)**2/5
Let c(s) be the third derivative of -s**7/420 - s**6/30 - 2*s**5/15 - 78*s**2. Factor c(m).
-m**2*(m + 4)**2/2
Let y(u) be the second derivative of -7*u**5/90 - 127*u**4/27 - 260*u**3/3 - 72*u**2 - 10*u. Determine c, given that y(c) = 0.
-18, -2/7
Let n(d) = -188*d**2 - 1106*d - 1589. Let l(j) = -374*j**2 - 2213*j - 3179. Let b(c) = -2*l(c) + 5*n(c). Factor b(h).
-3*(8*h + 23)**2
Suppose -20*u = -28*u - 128. Let k be u/(-63) - (-61)/(-549). Factor -k*x**2 - 2/7*x + 0.
-x*(x + 2)/7
Factor -16/3*u**3 - 76/3*u**2 - 32 + 4/3*u**4 + 184/3*u.
4*(u - 6)*(u - 1)**2*(u + 4)/3
Let l be 7 - ((-6)/21 + 3078/630). Factor 48/5*q - 51/5*q**2 + 3*q**3 - l.
3*(q - 2)*(q - 1)*(5*q - 2)/5
Factor -799*o**3 - 5*o**4 - 6*o**2 - 24 + 36*o + 790*o**3 + 8*o**4.
3*(o - 