= 0?
0
Suppose 0 = -c - 4*q + 164, -3*c + 36*q - 39*q = -393. Factor -75/4*y**2 - 192 + c*y.
-3*(5*y - 16)**2/4
Let d(q) be the second derivative of 1/10*q**5 + 3*q - 24 + 121*q**3 - 1331*q**2 - 11/2*q**4. Factor d(v).
2*(v - 11)**3
Suppose -50/7*o**4 - 24/7*o**5 + 24/7*o**2 + 8/7*o**3 + 0 + 0*o = 0. Calculate o.
-2, -3/4, 0, 2/3
Let a(t) = -4*t**2 - 1020*t + 43365. Let x(b) = 9*b**2 + 2550*b - 108411. Let i(w) = -12*a(w) - 5*x(w). Let i(j) = 0. What is j?
85
Let q(m) be the third derivative of 1/2*m**3 - 7/60*m**5 - 2 + 1/24*m**4 + 0*m - 22*m**2 - 1/24*m**6. Factor q(v).
-(v + 1)**2*(5*v - 3)
Let w(n) be the third derivative of n**5/270 + 25*n**4/18 - 616*n**3/27 - 1042*n**2. Determine z so that w(z) = 0.
-154, 4
Solve 968/7*q + 594/7*q**2 + 488/7 - 2/7*q**4 + 16*q**3 = 0 for q.
-2, -1, 61
Suppose 38*s = 23*s + 1140. What is i in 193 - s*i**3 - 12*i**2 - 37*i**4 - 193 - 7*i**5 + 24*i**3 = 0?
-3, -2, -2/7, 0
Let v be ((-52)/3 - -17) + 2*(-76)/(-168). Let -v*i**2 + 0 - 32/7*i = 0. Calculate i.
-8, 0
Let g(t) = 2*t**2 - 9*t + 2. Let x(p) = -20*p**2 + 773*p - 2754. Let r(o) = -18*g(o) - 2*x(o). Factor r(m).
4*(m - 342)*(m - 4)
Let a(s) = 1. Let v(f) = 4*f**2 + 64*f + 258. Let l = -399 - -401. Let r(c) = l*a(c) - v(c). Solve r(p) = 0.
-8
Let t = 956 - 951. Let m be t - (-9 + 5) - 7. Determine d so that 0 + 2/7*d + 2/7*d**m = 0.
-1, 0
Factor -55 + 491/4*r - 321/4*r**2 + 49/4*r**3 + 1/4*r**4.
(r - 4)*(r - 1)**2*(r + 55)/4
Let u(t) be the third derivative of t**8/84 + 8*t**7/35 - 17*t**6/6 - 2936*t**2. Let u(i) = 0. Calculate i.
-17, 0, 5
Let c(d) = d**2 - 10*d + 10. Let v be c(9). Factor 1729*a + v + a**3 - 1730*a - 4*a**2 + 3.
(a - 4)*(a - 1)*(a + 1)
Let q(y) = -76*y**2 + 11*y - 283. Let p(m) = -32*m**2 + 6*m - 142. Let o(x) = 21*p(x) - 9*q(x). Factor o(k).
3*(k - 5)*(4*k + 29)
Let v(n) be the second derivative of -n**4/12 - 33*n**3/2 + 944*n. Factor v(f).
-f*(f + 99)
Let b(v) be the third derivative of v**6/60 + 29*v**5/2 - 291*v**4/4 + 437*v**3/3 + 2*v**2 + 11*v + 41. Solve b(n) = 0 for n.
-437, 1
Let g be 18/42 - 90/(-35). What is l in 47*l**3 + 9*l**2 - l**5 - 37*l**g - 29*l**2 + 10*l + 5*l - 4 = 0?
-4, 1
Let w be (0 - -1)/(7/14). What is u in -6*u**w - 19*u + 2*u**3 - 5*u**3 + 8*u + 4 - 10 + 2*u**3 = 0?
-3, -2, -1
Let o = -260/161 - -1102/483. Factor 2/9*m**4 - 22/3*m - 28/9 - o*m**3 - 46/9*m**2.
2*(m - 7)*(m + 1)**2*(m + 2)/9
Let l(u) be the third derivative of -u**6/420 - 383*u**5/210 - 3040*u**4/7 + 12288*u**3/7 + 3*u**2 - u - 927. Solve l(i) = 0.
-192, 1
Let m = -2/655585 + 1311176/1966755. Solve 4/3*s**3 - 2/3*s**4 + 0 + 0*s - m*s**2 = 0 for s.
0, 1
Let n(m) = -m**3 - 28*m**2 - 73*m + 53. Let w be n(-25). What is s in -313*s - 4*s**2 + 305*s + w - 3 = 0?
-2, 0
Let x(t) = -123*t**2 + 447*t + 898. Let b(f) = 676*f**2 - 2235*f - 4490. Let y(i) = 4*b(i) + 22*x(i). Find g such that y(g) = 0.
-2, 449
Let r(f) = -48*f**3 + 344*f**2 - 108*f - 1920. Let o(u) = 16*u**3 - 115*u**2 + 36*u + 639. Let i(s) = -8*o(s) - 3*r(s). Solve i(t) = 0.
-2, 9/2
Let r(f) be the second derivative of -15/2*f**2 + 5/2*f**4 + 0 - 5/6*f**3 - 5/42*f**7 - 7*f + 1/2*f**5 - 1/2*f**6. Determine m so that r(m) = 0.
-3, -1, 1
Let u be (-248)/(-31) - (4 - -19). Let l be 348/145*u/(-9). Let -33/5*s**2 - 36/5*s + 6/5*s**3 + 108/5 + 3/5*s**l = 0. Calculate s.
-3, 2
Let u = -431021 - -431024. Factor 0 + 1/7*d**4 + 1/7*d**u - 5/7*d**2 + 3/7*d.
d*(d - 1)**2*(d + 3)/7
Suppose 3384*r - 11451 = -4683. Solve 3/5*i**r + 54/5 + 27/5*i = 0.
-6, -3
Let g(s) be the first derivative of s**5/5 - 3*s**4 - 20*s**3/3 + 95*s - 84. Let i(y) be the first derivative of g(y). Let i(r) = 0. Calculate r.
-1, 0, 10
Let q(g) = -4*g**3 + 98*g**2 - 391*g. Let c(z) = -z**3 + 24*z**2 - 98*z. Let j(p) = -p**2 + 20*p + 30. Let n be j(21). Let d(k) = n*c(k) - 2*q(k). Factor d(h).
-h*(h - 10)**2
Let w(a) = 2*a + 977211*a**3 + 15*a**2 + 3*a - 11 + 20*a - 977210*a**3. Let h be w(-13). Suppose 10/3*f**h + 32/3 - 1/3*f**3 - 32/3*f = 0. What is f?
2, 4
Let m(f) = -f**2 - f + 1. Let y be 2/5 - (-3 - (-210)/25). Let n(b) = -5*b**2 - 7*b + 14. Let s(o) = y*n(o) + 20*m(o). Factor s(j).
5*(j - 2)*(j + 5)
Find s, given that -143/2*s + 1/4*s**3 + 48 + 93/4*s**2 = 0.
-96, 1, 2
Suppose -89/2*x + 0 + 1/4*x**3 - 87/4*x**2 = 0. What is x?
-2, 0, 89
Find m such that 16/3*m**4 + 197/3*m - 50/3*m**2 - 52/3*m**3 - 110/3 - 1/3*m**5 = 0.
-2, 1, 5, 11
Determine f so that 2/5*f**3 - 256/5 - 252/5*f**2 - 102*f = 0.
-1, 128
Let k(t) be the third derivative of t**6/540 + 67*t**5/270 + 11*t**4/18 - 1163*t**2. Suppose k(c) = 0. What is c?
-66, -1, 0
Suppose -19*v - 25 + 44 = -38. Let r(q) be the second derivative of -1/42*q**4 + 0*q**v + 4*q + 0*q**2 + 1/35*q**5 - 1 - 1/105*q**6. Factor r(o).
-2*o**2*(o - 1)**2/7
Suppose -5*u + 119 + 6 = j, -4*j = -4*u - 380. Let a be 340/j + (-4)/10. Solve 15/4*q**4 + 6*q**a + 3*q**2 + 0 + 3/4*q**5 + 0*q = 0.
-2, -1, 0
Let z(f) be the first derivative of -262 + 18/11*f**3 + 1/33*f**6 + 0*f + 27/22*f**4 + 18/55*f**5 + 0*f**2. Factor z(p).
2*p**2*(p + 3)**3/11
Let s = -26 - -31. Suppose -3*a - s + 11 = 0. Factor -a*t**3 + 4*t**3 + 2*t**3 - 64 + 32*t + 46*t**2 - 18*t**2.
4*(t - 1)*(t + 4)**2
Suppose g + 4*o - 6*o - 4 = 0, g + 3*o = 4. Suppose -3*u - c = -4, -4*c - 8 = -g*u - 6*c. What is n in 40/3*n**2 + u - 95/3*n**3 + 35/3*n**4 + 20/3*n = 0?
-2/7, 0, 1, 2
Let v(b) be the second derivative of 4 + 2/45*b**6 + 7*b + 2/3*b**3 - 1/5*b**5 + 1/9*b**4 - 4/3*b**2. Factor v(n).
4*(n - 2)*(n - 1)**2*(n + 1)/3
Let j be (-937)/(-5*2/(-70)). Let y = j + 46021/7. Factor 0*q + 90/7*q**4 - y*q**3 - 3*q**5 + 0 + 24/7*q**2.
-3*q**2*(q - 2)**2*(7*q - 2)/7
Let m(h) be the first derivative of 7*h**6/2 + 66*h**5/5 + 18*h**4 + 10*h**3 + 3*h**2/2 + 336. Find z, given that m(z) = 0.
-1, -1/7, 0
Suppose 81 = 3*c + b, -3*c = -7*c - 4*b + 100. Factor -2*y**2 - 3 - 5*y - c*y**2 - 28*y.
-3*(y + 1)*(10*y + 1)
Find h such that -25*h**3 + 4374 + 82*h**3 + 1863*h + 13*h**3 - 2343*h**2 + 11*h**3 + 84*h**3 - 3*h**4 = 0.
-1, 2, 27
Let g(f) = f**2 + 1846*f + 3. Let h(m) = -4*m**2 - 5496*m - 8. Let t(o) = 8*g(o) + 3*h(o). What is b in t(b) = 0?
-430, 0
Suppose -30 = 5*h + 5*f, -5*h = -156*f + 158*f. Let -h*o + 13/3 - 1/3*o**2 = 0. Calculate o.
-13, 1
Let h = 9540 - 19071/2. Let a(q) be the second derivative of 0 + 1/4*q**4 - q**3 - h*q**2 - 18*q. Let a(s) = 0. What is s?
-1, 3
Suppose -q = 17*q - 90. Let v(a) = -2*a**3 - a**2 - 1. Let i(f) = 14*f**3 - 7*f**2 + 8*f + 5. Let x(k) = q*v(k) + i(k). Suppose x(t) = 0. Calculate t.
0, 1, 2
Let i(a) be the first derivative of -16*a**5/25 - 83*a**4/5 - 72*a**3/5 + 50*a**2 + 80*a + 1143. What is y in i(y) = 0?
-20, -1, 5/4
Factor 22801/5 + 1/5*m**2 + 302/5*m.
(m + 151)**2/5
Let s(d) be the second derivative of -d**5/40 - 53*d**4/24 - 154*d**3/3 + 588*d**2 - 955*d. Factor s(l).
-(l - 3)*(l + 28)**2/2
Let b = -1790 - -21481/12. Let q(f) be the third derivative of 0*f + 0 + 1/32*f**4 - b*f**3 + 0*f**5 - 14*f**2 - 1/480*f**6. Factor q(h).
-(h - 1)**2*(h + 2)/4
Let f be 4/(-6) - (-10)/15 - -2. Factor 0*v**2 + 2*v + 3*v + 5*v**2 - 10*v**f.
-5*v*(v - 1)
Suppose 4*k + 4*x = k + 40277, k - 13434 = -3*x. Suppose 2*u**2 + k*u - 13247*u + 3698 + 0*u**2 = 0. What is u?
-43
Suppose 0 = 32*m - 31*m - 15. Factor -2783*h**4 - m*h**5 - 20*h**2 + 2718*h**4 - 4*h + 4*h - 80*h**3.
-5*h**2*(h + 2)**2*(3*h + 1)
Let c(w) = 2*w. Let b be (8/(-6))/((-76)/57). Let j(s) = -s**2 - s + 1. Let k(g) = b*c(g) + 2*j(g). Factor k(r).
-2*(r - 1)*(r + 1)
Suppose -1083/2*s**2 - 6859/2*s - 1/2*s**4 + 0 - 57/2*s**3 = 0. What is s?
-19, 0
Let f(c) = -c**2 + c. Suppose 11*s + 10 = 16*s. Let g(b) = -4*b**s + 0*b**2 - 4*b + 10*b**2. Let r(m) = -35*f(m) - 5*g(m). Factor r(z).
5*z*(z - 3)
Let d(y) be the second derivative of y**7/168 + y**6/24 - 11*y**5/40 + y**4/3 - y + 276. Factor d(u).
u**2*(u - 2)*(u - 1)*(u + 8)/4
Let n(o) = -4*o**3 + 91*o**2 + 126*o - 4196. Let q be n(22). Factor q*h**2 + 2300/7*h + 4/7*h**3 - 2500/7.
4*(h - 1)*(h + 25)**2/7
Solve 15/4*p + 3/2*p**2 + 9/4 = 0 for p.
-3/2, -1
Let j(g) be the second derivative of -g**9/9450 + g**8/2400 - g**7/3150 - g**6/1800 - 43*g**4/12 + 56*g. Let a(z) be the third derivative of j(z). Factor a(l).
-2*l*(l - 1)**2*(4*l + 1)/5
Factor 4*h**5 + 196*h**2 + 525*h**3 + 132*h**4 + 0*h**5 + 331*h**2 - 