he first derivative of -45 + 1/27*w**3 + 0*w - 1/3*w**2. Determine o so that y(o) = 0.
0, 6
Suppose 0 = 2*s - 2*q + 6, -5*q = 2*s - 4 - 25. Let l be ((-8)/((-32)/22) + -5)/s. Factor 0 - 1/8*y**2 - l*y + 1/8*y**3.
y*(y - 2)*(y + 1)/8
Factor -7121*m**2 + 349 - 3*m**3 + 47 + 6930*m**2 + 468*m.
-(m - 3)*(m + 66)*(3*m + 2)
Let z(j) be the third derivative of -j**7/210 - 49*j**6/60 + 51*j**5/5 - 155*j**4/3 + 416*j**3/3 + 9322*j**2. Let z(f) = 0. Calculate f.
-104, 2
Let d = -1625237 + 1625240. Let 13/4*s**2 + 17/4*s + 1/2*s**3 - d = 0. Calculate s.
-4, -3, 1/2
Factor 0*m**2 - 78*m + 2*m**2 + 1801 - 767 - 754.
2*(m - 35)*(m - 4)
Let d be 3/10*(16/14 - 12816/(-1869)). Factor -d - 3/5*p**2 + 3*p.
-3*(p - 4)*(p - 1)/5
Let f(h) be the second derivative of -h**7/42 - 26*h**6/15 - 1033*h**5/20 - 4837*h**4/6 - 21070*h**3/3 - 34300*h**2 - 67*h + 2. What is p in f(p) = 0?
-14, -5
Suppose 33960*l = 33822*l + 552. Factor -64/3 - 32*h - 52/3*h**2 - 1/3*h**l - 4*h**3.
-(h + 2)**2*(h + 4)**2/3
Suppose -391*o + 929 = -244. What is w in -2 - 51/2*w**2 - 63/4*w**o - 13*w = 0?
-2/3, -2/7
Let s be (-714)/25*1315/(-526). Factor 48*i + 36/5 - 147/5*i**3 + s*i**2.
-3*(i - 3)*(7*i + 2)**2/5
Let w(y) be the first derivative of -1/3*y**3 + 9 + 15/2*y**2 - 1/30*y**5 + 1/6*y**4 + 0*y. Let t(d) be the second derivative of w(d). Factor t(r).
-2*(r - 1)**2
Determine d so that 63*d**3 - 171 + 835/2*d - 1/2*d**5 + 7*d**4 - 316*d**2 = 0.
-9, 1, 2, 19
Suppose 0 = 12*y + 9 - 57. Suppose -22*v = -23*v - 3*b - y, 0 = v + 2*b + 2. Determine s so that -2 - 5/3*s - 1/3*s**v = 0.
-3, -2
Let -359*l**4 - 472*l**3 - 432*l - 36*l**2 + 363*l**4 + 520*l**3 = 0. Calculate l.
-12, -3, 0, 3
Suppose -33 = -5*g + 2*g. Let p be 50/10 - (8 - 27). Let -29*q**3 - g*q**3 - 36*q - 16*q**3 - p*q**4 - 8 - 4*q**5 - 64*q**2 = 0. Calculate q.
-2, -1
Let w be (147625/1250 - 115) + 2/(-20). Factor 10/7*x**2 + 2 + 2/7*x**w - 26/7*x.
2*(x - 1)**2*(x + 7)/7
Let b(n) be the first derivative of 2*n**3/15 + 4*n**2 - 88*n/5 - 892. Factor b(o).
2*(o - 2)*(o + 22)/5
Let s(d) be the third derivative of d**6/40 + d**5/20 - 85*d**4/8 + 275*d**3/2 + 142*d**2. Factor s(q).
3*(q - 5)**2*(q + 11)
Let s(j) = 2*j**2 + 164*j - 184. Let a(z) = 2*z - 1. Let t(p) = -36*a(p) - 2*s(p). Factor t(v).
-4*(v - 1)*(v + 101)
Suppose 119 = 4*u - 105. Find x such that -15*x - 33*x - 4*x**2 + 37*x - 25*x - u = 0.
-7, -2
Suppose 134 - 28*w - 12*w**2 - 131*w**4 + 135*w**4 + 12*w**3 - 110 = 0. What is w?
-3, -2, 1
Let o(l) = l**3 - 6*l**2 + 10*l + 1. Let k be o(2). Find a, given that -5*a - 10 - 10*a**4 - 209*a**5 + 20*a**2 + 10*a**3 + 416*a**5 - 212*a**k = 0.
-2, -1, 1
Factor 55*l**2 - 8*l**2 + 1380*l + 4*l**3 - 1092*l + 61*l**2.
4*l*(l + 3)*(l + 24)
Let c(j) be the first derivative of j**4 - 16*j**3/3 + 10*j**2 - 8*j + 20. Factor c(p).
4*(p - 2)*(p - 1)**2
Let h(m) be the first derivative of m**5/15 + m**4/12 - m**3 - 3*m**2/2 + 1356. Factor h(a).
a*(a - 3)*(a + 1)*(a + 3)/3
Let t be ((-234)/(-54))/(1/3). Suppose -t = -5*v + 3*g, -3*v + 8 = -g - g. Factor 9*z + 2*z**v - 5*z - 2*z - 2*z**3 - 2*z**4.
-2*z*(z - 1)*(z + 1)**2
Let o be (-56)/(-7)*172/8. Determine m so that -88*m + 48 + o*m**2 - 65*m + 16*m**3 - 83*m = 0.
-12, 1/4, 1
What is h in 21*h + 39/5*h**3 + 3/5*h**4 + 153/5*h**2 - 60 = 0?
-5, -4, 1
Solve -881*a**4 + 1777*a**4 - 900*a**4 - 1172*a**3 = 0 for a.
-293, 0
Factor -2/9*b**3 + 320/9 - 2*b**2 + 8/3*b.
-2*(b - 4)*(b + 5)*(b + 8)/9
Let h = 211082/81 + -2606. Let b = 235/162 - h. Factor -1/4*a**2 - 9/4 + b*a.
-(a - 3)**2/4
Let w(r) be the first derivative of -2*r**3/3 - 34*r**2/5 - 96*r/5 + 1517. Solve w(n) = 0 for n.
-24/5, -2
Let a(r) be the first derivative of 5*r**4/24 - 181*r**3/18 - 169*r**2/6 - 76*r/3 - 705. Factor a(b).
(b - 38)*(b + 1)*(5*b + 4)/6
Suppose -2*n - 4*u = 0, -9 - 9 = -4*n + u. Determine x, given that 64 - 18*x**2 - 10*x**2 + n*x**2 - 40*x - 4*x**2 + 4*x**3 = 0.
-2, 1, 8
Let r be ((-3531)/(-5885))/((-16)/(-20)). Let 3/4*j**5 + 3/4*j**2 + 0 + 0*j - 3/4*j**4 - r*j**3 = 0. What is j?
-1, 0, 1
Factor -428*k - 1440 - 295*k + 513*k + 5*k**2.
5*(k - 48)*(k + 6)
Let l(n) be the second derivative of n**6/5 + 101*n**5/70 + 11*n**4/3 + 76*n**3/21 + 8*n**2/7 - n - 1278. Solve l(z) = 0 for z.
-2, -2/3, -1/7
Let r(s) be the first derivative of s**5/5 - 25*s**4/4 + 68*s**3/3 + 302*s**2 + 720*s + 2763. Factor r(v).
(v - 20)*(v - 9)*(v + 2)**2
Find h such that -9/2*h**2 - 3/2*h**3 - 3*h + 0 = 0.
-2, -1, 0
Let s = 413009 - 413004. What is h in -1/10*h**s + 1/2*h**4 - 1/2*h**3 - 1/2*h**2 + 0 + 3/5*h = 0?
-1, 0, 1, 2, 3
Suppose 4*o = -274*c + 270*c + 32, 6 = 2*o. Let x(y) be the third derivative of 1/90*y**c + 1/18*y**4 + 17*y**2 + 0 + 0*y**3 + 0*y. Let x(g) = 0. What is g?
-2, 0
Solve 391/4*n - 867/4 - 37/4*n**2 + 1/4*n**3 = 0.
3, 17
Suppose 2*c - 5*p - 152 = 209, 5*c + p = 835. Let a be ((-126)/c)/((-3)/10). Solve -9/2*q**3 - q + 0 + a*q**4 - 1/2*q**5 + 7/2*q**2 = 0 for q.
0, 1, 2
Let m(t) = -15*t**2 + 4518*t - 1701023. Let f(w) = -12*w**2 + 4518*w - 1701024. Let h(b) = 4*f(b) - 3*m(b). Factor h(p).
-3*(p - 753)**2
Let s(k) be the second derivative of k**6/300 + k**5/75 - k**4/20 + 107*k**2/2 - 135*k. Let c(h) be the first derivative of s(h). Suppose c(q) = 0. Calculate q.
-3, 0, 1
Let k(w) be the second derivative of w**6/360 + 71*w**5/60 + 5041*w**4/24 - 205*w**3/6 + 58*w. Let n(y) be the second derivative of k(y). Factor n(r).
(r + 71)**2
Solve 1659/4 - 139*d + 1/4*d**2 = 0 for d.
3, 553
Suppose 5/2*x**2 + 1/2*x**4 - 3*x**3 + 0 + 6*x = 0. Calculate x.
-1, 0, 3, 4
Suppose -15100*d + 64 = -z - 15096*d, -7*z + 16 = d. Find b such that 0 + z*b**4 + 0*b**2 + 0*b - 1/6*b**5 + 0*b**3 = 0.
0
Let j = 217024 + -217020. Determine h, given that 5/4*h**2 + 0 + 3/4*h**j + 0*h + 9/4*h**3 - 1/4*h**5 = 0.
-1, 0, 5
Let h(y) be the first derivative of -5*y**6/6 - 3*y**5/2 + 55*y**4/8 + 5*y**3 + 535. What is f in h(f) = 0?
-3, -1/2, 0, 2
Let z(k) be the first derivative of -k**6/21 - 164*k**5/35 - 2641*k**4/14 - 83320*k**3/21 - 321200*k**2/7 - 1936000*k/7 + 1608. Factor z(b).
-2*(b + 11)**2*(b + 20)**3/7
Suppose -18*d + 32 + 4 = 0. Let z be -1*(3/(-6))/((-15)/(-10)). Determine m so that z*m + 1/3*m**d - 1/3*m**3 - 1/3 = 0.
-1, 1
Let h(r) = r**3 + r**2 - r + 1. Let o(p) = -2*p**4 - 8*p**3 + 14*p**2 + 8*p - 20. Let a = 9 - 8. Let k(u) = a*o(u) + 4*h(u). What is t in k(t) = 0?
-4, -1, 1, 2
Let x be -2 + -350*(4 - 88/20). Suppose -138 = -5*v - x. Factor -11*p**3 - 14*p**2 - 4*p + v - 5/2*p**4.
-p*(p + 2)**2*(5*p + 2)/2
Let c(q) be the first derivative of 2*q**3/9 + 77*q**2/3 - 216*q - 2455. Factor c(o).
2*(o - 4)*(o + 81)/3
Let b(m) = -m**2 + 7*m - 3. Let r be b(6). Let k be (-3*(-6)/(-75))/((-78)/(-117) + 76/(-60)). Determine q so that -2/5*q**2 + 2/5*q**r - k*q + 2/5 = 0.
-1, 1
Let z be (-34)/(-3)*3 - 0. Suppose -4*j + 78 = -z. Factor -10 + 5*v**3 - 18*v**2 + j*v + 2 + 15*v**2 - 19*v**2.
(v - 2)**2*(5*v - 2)
Let j be (1 - (-6)/(-12))*(10 + 0). Suppose 0 = c + 4*n + 7 + 3, j*c - 16 = 2*n. Factor -14*h + 2 + 3*h**2 - 14 + 10*h**c - 3*h**2.
2*(h - 2)*(5*h + 3)
Let x be (-1)/(-2) + 10 + -42 + 32. Solve -x*i**2 - 29 + 59/2*i = 0.
1, 58
Solve -6*f**4 + 524/7 - 2886/7*f + 5486/7*f**3 + 2118/7*f**2 = 0.
-1, 2/7, 1/3, 131
Let j(c) = 32*c**4 + 68*c**3 + 34*c**2 + 3*c - 6. Let g(t) = 11*t**4 + 23*t**3 + 11*t**2 + t - 2. Let r(i) = 11*g(i) - 4*j(i). Determine m, given that r(m) = 0.
-1, 2/7
Let p = -3477 + 3482. Let o(i) be the second derivative of 2/15*i**4 + 0*i**2 + 0 + 2/5*i**3 - 1/25*i**p - 3*i. Factor o(l).
-4*l*(l - 3)*(l + 1)/5
Determine b, given that -6*b**2 - 147 - 4*b + 300 - 153 - 2*b**3 = 0.
-2, -1, 0
Let 39*i**4 + 2934/5*i**2 - 1053/5*i - 729/5 - 9/5*i**5 - 1338/5*i**3 = 0. What is i?
-1/3, 1, 3, 9
Find m such that 0*m**2 + 19/4*m - 1/4*m**3 - 15/2 = 0.
-5, 2, 3
Let c(q) = -2*q**2 - 838*q + 1694. Let p be c(2). What is f in 18*f - p*f**2 + 2/3*f**3 + 162 = 0?
-3, 9
Let v(t) be the second derivative of 1/40*t**5 + 2 - 1/12*t**3 - 31*t - 7/96*t**4 + 1/4*t**2 + 1/80*t**6. Determine y, given that v(y) = 0.
-2, -1, 2/3, 1
Let d = -278 + 280. Find p such that 30*p + 1726 - 1663 - d*p**2 + 5*p**2 = 0.
-7, -3
Let x = 369376/5 - 73875. Factor -6/5 - x*z**2 - 7/5*z.
-(z + 1)*(z + 6)/5
Let u(t) = -2*t**2 + 234*t + 3362. Let r(l) = 5*l**2 - 235*l - 3361. Let o 