 = 0. Calculate l.
-1, 0, 1
Let q(j) = 36*j**2 - 6309*j + 1583. Let z(s) = -140*s**2 + 25235*s - 6330. Let i(r) = 15*q(r) + 4*z(r). Determine o, given that i(o) = 0.
1/4, 315
Let w(s) be the first derivative of -112*s**2 - 196/3*s**3 - 33 - 64*s. Solve w(b) = 0.
-4/7
Let r(v) be the first derivative of 26*v**3/9 - 82*v**2/9 + 16*v/9 + 348. Factor r(c).
2*(c - 2)*(39*c - 4)/9
Let -2*g**3 + 20*g**2 - 13939*g - 2*g**2 + 14163*g = 0. What is g?
-7, 0, 16
Determine u, given that 1029*u**3 - 896 - 528*u**2 - 597*u**3 - u**4 + 1360*u - 367*u**3 = 0.
1, 4, 56
Let w(h) = h**2 - 640*h - 9154. Let i be w(-14). Let 0*v**3 + 0*v + 2/3*v**i - 2/15*v**4 - 8/15 = 0. What is v?
-2, -1, 1, 2
Let g(x) be the first derivative of -2/5*x**2 + 0*x + 52 - 1/10*x**4 - 2/5*x**3. Factor g(z).
-2*z*(z + 1)*(z + 2)/5
Determine z so that -4/3*z**2 - 96*z + 0 = 0.
-72, 0
Suppose 24843/2 + 3/2*a**2 - 273*a = 0. Calculate a.
91
Let p(b) be the first derivative of 240 - 1/7*b**3 + 15/14*b**2 + 72/7*b. Find i, given that p(i) = 0.
-3, 8
Let u(n) be the first derivative of n**5/30 + 5*n**4/24 - 8*n**3/3 - 21*n**2 - 1642. Factor u(s).
s*(s - 7)*(s + 6)**2/6
Let x(r) be the third derivative of 16*r**3 - 70*r**2 - 1/10*r**6 - 6/5*r**5 + 0*r - 2/3*r**4 + 2/105*r**7 + 0. What is d in x(d) = 0?
-2, 1, 6
Let i(r) be the second derivative of -r**4/4 + 935*r**3/2 - 1401*r**2 - 10992*r. Determine c so that i(c) = 0.
1, 934
Let u(o) = 38*o**2 + 1089*o + 14562. Suppose -5*g + 15 = 4*q - 9*q, -4*q = 5*g - 33. Let z(i) = 9*i**2 + 272*i + 3641. Let l(a) = q*u(a) - 9*z(a). Factor l(d).
-5*(d + 27)**2
Let o(u) be the first derivative of -u**5/10 + 5*u**4/18 + 19*u**3/9 - 7*u**2 - 176*u + 6. Let c(a) be the first derivative of o(a). Factor c(n).
-2*(n - 3)*(n - 1)*(3*n + 7)/3
Let l(w) be the first derivative of w**5/35 - 13*w**4/28 + w**3 + 85*w**2/14 + 50*w/7 + 2830. Solve l(m) = 0 for m.
-1, 5, 10
Let n be (-13)/(-3 - -2) + 3 + -5. Factor -41*k**2 - 11*k + n*k - 9*k - 5*k - 10*k**2 - 7*k**3.
-k*(k + 7)*(7*k + 2)
Factor -6*w**3 + 28*w**3 - 344*w - 55*w**2 - 20 - 2*w**3 + 112*w + 137*w.
5*(w - 4)*(w + 1)*(4*w + 1)
Let z(w) be the second derivative of w**6/40 - 33*w**5/80 + 13*w**4/16 + 51*w**3/8 - 81*w**2/4 - 7*w - 36. Find j, given that z(j) = 0.
-2, 1, 3, 9
Let j(o) be the second derivative of o**6/280 - 3*o**5/140 + o**4/28 - 76*o**2 + o - 67. Let h(z) be the first derivative of j(z). Find f, given that h(f) = 0.
0, 1, 2
Let n(h) = h**4 - 3*h**3 - 18*h**2 + 35*h - 21. Let z(t) = t**3 - t + 2. Let k(p) = n(p) + 3*z(p). Factor k(v).
(v - 3)*(v - 1)**2*(v + 5)
Let s(c) be the first derivative of 5*c**6/6 - 2*c**5 + 5*c**4/4 + 349. Factor s(b).
5*b**3*(b - 1)**2
Let q be 12 + -3*(-1 - -2). Let u be (-2)/q - 2261/(-171). What is k in -64*k**2 - u*k**5 + 27*k**5 - 24*k**4 - 36*k - 8 - 18*k**5 - 56*k**3 = 0?
-2, -1
Factor 0*j**2 + 89787/4*j**3 + 0*j + 3/4*j**5 + 0 + 519/2*j**4.
3*j**3*(j + 173)**2/4
Find h such that 4892/7*h + 4/7*h**3 - 2444/7 - 2452/7*h**2 = 0.
1, 611
Factor -1448/11 + 1446/11*q + 2/11*q**2.
2*(q - 1)*(q + 724)/11
Let x be 0*((-70)/(-20) - 4). Let z(u) be the third derivative of -1/120*u**6 + 0*u**5 + 0 + 0*u**3 + x*u + u**2 + 1/630*u**7 + 1/18*u**4. Factor z(r).
r*(r - 2)**2*(r + 1)/3
Let g(f) be the third derivative of 5*f**10/6048 - f**9/504 - f**4/24 + 3*f**3 + 43*f**2. Let j(v) be the second derivative of g(v). What is z in j(z) = 0?
0, 6/5
Let -o**4 - 9144421*o**3 + 4*o**4 + 9144400*o**3 - 24*o**2 = 0. Calculate o.
-1, 0, 8
Let v(z) be the second derivative of 3*z**5/20 - 25*z**4/4 - 181*z**3/2 - 465*z**2/2 - 1380*z. Solve v(c) = 0 for c.
-5, -1, 31
Let t(f) be the second derivative of 7/51*f**4 - 1/17*f**6 - 21*f - 1/85*f**5 + 1/17*f**2 + 1 - 1/51*f**7 + 3/17*f**3. Solve t(m) = 0.
-1, -1/7, 1
Let c = -1699/53840 - 4/673. Let q = c - -341/560. Determine d, given that 484/7 - 396/7*d - q*d**3 - 12*d**2 = 0.
-11, 1
Let b be 1 + 7 - (-67 - -72). Factor 3*v + 25*v**b - 8*v**2 - 16*v**2 + 24 - 28*v**3.
-3*(v - 1)*(v + 1)*(v + 8)
Factor 482/5 + 1926/5*d - 8/5*d**2.
-2*(d - 241)*(4*d + 1)/5
Let w be ((-18)/56)/((-15)/40). Let k be (-45)/210*-2*2/3. Factor -w*i + 4/7 + k*i**2.
2*(i - 2)*(i - 1)/7
Suppose -186*y + 4*y = 47*y. Let t(r) be the second derivative of y - 1/8*r**4 - 3*r**2 + r**3 - 20*r. Find g such that t(g) = 0.
2
Let d(g) be the first derivative of 19*g**3/8 - 33*g**2/4 + 9*g/2 - 2650. Let d(y) = 0. What is y?
6/19, 2
Let w(y) be the first derivative of -2*y**5/5 + y**4/2 + 8*y**3/3 - 4*y**2 - 356. Factor w(q).
-2*q*(q - 2)*(q - 1)*(q + 2)
Suppose -9*h + 6*h = 366. Let j = -120 - h. Factor -6*a + 8*a**j - 26*a + 6*a - 2 + 8.
2*(a - 3)*(4*a - 1)
Find s, given that -157*s**2 - 124*s**2 + 1104500 + 286*s**2 - 4700*s = 0.
470
Let r(f) be the second derivative of -34*f + 1/18*f**3 - 1/108*f**4 + 0 - 1/9*f**2. Let r(x) = 0. Calculate x.
1, 2
Let j(q) be the first derivative of 0*q**3 + 1/5*q**2 - 1/10*q**4 + 0*q - 8. Determine y, given that j(y) = 0.
-1, 0, 1
Suppose -46/7*a**3 - 150/7*a**4 + 0 + 8/7*a**5 + 150/7*a**2 + 38/7*a = 0. What is a?
-1, -1/4, 0, 1, 19
Let b(v) = 4*v**4 + 174*v**3 + 1477*v**2 - 31416*v + 55487. Let m(w) = w**4 + w**2 - 1. Let f(p) = b(p) - m(p). Suppose f(j) = 0. Calculate j.
-34, 2, 8
Let c(z) be the third derivative of -z**7/945 - z**6/540 + z**5/90 + z**4/108 - 2*z**3/27 - 2*z**2 - 265. What is s in c(s) = 0?
-2, -1, 1
Let p(s) be the third derivative of s**5/12 + 545*s**4/12 - 365*s**3/2 - s**2 - 24*s - 31. Factor p(a).
5*(a - 1)*(a + 219)
Suppose -2*c + 4*d + 24 = 0, 2*d + 569 = -2*c + 593. Let u(o) be the first derivative of 0*o + 1/8*o**4 - o**2 - c + 0*o**3. Factor u(f).
f*(f - 2)*(f + 2)/2
Let v be (48 + 39)/(0 - 2/(-4)). Find d such that 72 - 11*d**5 + 8*d**5 + 30*d**2 + 45*d**3 - 132*d - 186*d**4 + v*d**4 = 0.
-6, -2, 1, 2
Let z = 215/2 - 3547/33. Let s(l) be the second derivative of 1/231*l**7 + 3*l + 0*l**3 + 1/165*l**6 - 1/110*l**5 + 0*l**2 + 0 - z*l**4. Factor s(g).
2*g**2*(g - 1)*(g + 1)**2/11
Let q = 4878/493 - 20446/2465. Suppose -a = -o + 6*o - 7, 13 = 2*o - 3*a. What is c in 18/5*c**3 - 18/5*c - 4/5 - 4/5*c**o + q*c**4 = 0?
-2, -1, -1/4, 1
Let g(f) = -f**2 - 2*f + 3. Let v be (-9 - -47 - 5) + 3. Let i(s) = 16*s**2 + 12*s - 76. Let q(a) = v*g(a) + 2*i(a). Factor q(o).
-4*(o + 1)*(o + 11)
Let t(p) be the first derivative of -45/4*p**4 + 22 + 0*p**2 - 9*p**3 - 1/2*p**6 - 21/5*p**5 + 0*p. Factor t(l).
-3*l**2*(l + 1)*(l + 3)**2
Suppose 0 = -5*b - 2*t + 290, -5*b + 4*b + 58 = t. Let k = b + -55. Determine h, given that 2*h**4 - 3*h**5 + k*h**4 + 3*h**3 - 8*h**4 + 6*h**2 - 3*h**4 = 0.
-2, -1, 0, 1
Let n(p) be the first derivative of -3*p**4/22 + 23*p**3/33 - 10*p**2/11 - 4*p/11 + 10539. Factor n(t).
-(t - 2)**2*(6*t + 1)/11
Let p(t) be the first derivative of -3/2*t**2 - 2*t**3 + 5/4*t**4 + 4*t - 2. Solve p(m) = 0 for m.
-4/5, 1
Let o(r) = -57*r**2 + 13*r - 83. Let k(l) = 0*l**2 + 16*l + 0 - 5*l**2 + 0*l**2 - 17*l - 1. Let s(v) = -22*k(v) + 2*o(v). Factor s(f).
-4*(f - 6)**2
Let y(l) = 565*l**2 + 865*l - 405. Let a(m) = 47*m**2 + 72*m - 34. Let h be -4*(2 + 12/(-8)). Let f(o) = h*y(o) + 25*a(o). Determine g so that f(g) = 0.
-2, 4/9
Let b(s) be the second derivative of -s**5/20 + 52*s**4/3 - 413*s**3/6 + 103*s**2 + 3*s + 231. Factor b(f).
-(f - 206)*(f - 1)**2
Let y(i) be the third derivative of 0 + 33*i**2 + 17/108*i**4 - 16/27*i**3 - 1/270*i**5 + 0*i. Factor y(p).
-2*(p - 16)*(p - 1)/9
Suppose 360*a**2 + 0 - 4/5*a**4 - 1796/5*a**3 + 0*a = 0. Calculate a.
-450, 0, 1
Factor -141/7*a - 144/7 + 3/7*a**2.
3*(a - 48)*(a + 1)/7
Let l(z) be the first derivative of -z**4/10 - 46*z**3/15 - 35*z**2 - 882*z/5 + 946. Factor l(d).
-2*(d + 7)**2*(d + 9)/5
Factor 1/5*u**2 + 0 + 16/5*u.
u*(u + 16)/5
Let t(k) = 23*k**2 + 37*k + 239. Let o(d) = -5*d**2 - 9*d - 60. Let r(h) = -9*o(h) - 2*t(h). Let n be r(12). Factor -2/3*p**n + 2/3*p + 4/3.
-2*(p - 2)*(p + 1)/3
Let y be (-66)/24*(-2 - -22). Let m be (4488/y)/12 + 4 + 3. Suppose -2/5*f**3 + m*f - 2/5 + 1/5*f**5 + 4/5*f**2 - 2/5*f**4 = 0. What is f?
-1, 1, 2
Let m be 6*(-1 - 1) + 0 - (-30447)/2388. Factor -1/4*f**3 + 0 - m*f**2 + 0*f.
-f**2*(f + 3)/4
Suppose 2*c = -4*t - 4, -t + 168*c - 10 = 170*c. What is u in 4/3 + 1/3*u**3 - 7/3*u + 2/3*u**t = 0?
-4, 1
Let m(p) be the second derivative of -p**5/8 - 