3 - 127*h - 32*h + 194 - 186*h - 117*h**2 - 75*h**2.
-3*(h + 5)**2*(7*h - 6)
Let v(j) = -7*j**2 + 3184*j - 3161. Let c(m) = -25*m**2 + 12730*m - 12645. Let n(o) = -4*c(o) + 15*v(o). Find t such that n(t) = 0.
-633, 1
Factor -5*b**3 - 9863*b - 5812*b + 800*b**2 - 245*b**2 + 15125.
-5*(b - 55)**2*(b - 1)
Suppose 78*v + 192 = 30*v. Let m be ((-1)/v)/((-1561)/(-140) + -11). Determine o so that -4/3 + 4/3*o + m*o**2 - o**3 = 0.
-1, 2/3, 2
Let l be (-1 + 2)*1547/455 - (-8 + -1). Factor 12/5 + l*o + 2*o**2.
2*(o + 6)*(5*o + 1)/5
Let x be (7140/(-5950))/((-6)/1682). Factor 116/5*s - 2/5*s**2 - x.
-2*(s - 29)**2/5
Let y be ((-495)/10)/((-6)/(-8)). Let j be 583/y + (-22)/(-2). Factor -18 - 67/6*q**3 - 57/2*q**2 - 36*q - j*q**4 - 1/6*q**5.
-(q + 2)**2*(q + 3)**3/6
Let x be 25*2/35 + -1. Let i be (-16)/(-20) + (-40)/50. Factor i*p + 3/7*p**3 + 0 - x*p**2.
3*p**2*(p - 1)/7
Let p(h) be the first derivative of 3*h**4/26 + 800*h**3/39 + 1303*h**2/13 + 60*h + 670. Determine r so that p(r) = 0.
-130, -3, -1/3
Let m(i) be the third derivative of i**7/630 + 2*i**6/45 - 11*i**5/15 + i**2 - 456*i - 3. Find b such that m(b) = 0.
-22, 0, 6
Let c = 984615 - 10830763/11. Solve -c*t**2 + 204/11*t - 5202/11 = 0 for t.
51
Suppose 0 = 4*p - 10 - 2. Let v be 13/(24/((-2304)/(-312))). Factor v + p*d**2 - 3 - 9*d + 2 + 3.
3*(d - 2)*(d - 1)
Let f be (-2 + 5)/(-12) + (-15)/(-12). Let m be f/(-4) - 36/(-16). Factor -4*c - 16*c**3 - 2*c + 22*c + 4*c**m - 4*c**4.
-4*c*(c - 1)*(c + 1)*(c + 4)
Suppose -8*v + 30*v + 10*v + 12*v = 0. Find w such that -160*w + v - 18/5*w**5 - 448*w**2 + 336/5*w**4 - 1328/5*w**3 = 0.
-2/3, 0, 10
Let i be ((-259)/111)/(-28*14/560). Solve 64/3*u**2 + 0*u - 160/3*u**3 - 4/3*u**4 + 0 + i*u**5 = 0 for u.
-4, 0, 2/5, 4
Let f(j) = 17*j - 86. Let b be f(6). Factor 4*z**2 - 7*z + b*z - 2*z + 100 + 33*z.
4*(z + 5)**2
Let n(w) be the first derivative of -w**5/5 - 5*w**4/4 + 106*w**3/3 - 134*w**2 + 168*w - 621. Solve n(f) = 0 for f.
-14, 1, 2, 6
Factor -2/5*c**3 + 64/5 - 88/5*c + 26/5*c**2.
-2*(c - 8)*(c - 4)*(c - 1)/5
Let f = -13997 + 14001. Factor 2/3*a**2 + 0*a - 2/3*a**f - 1/3*a**3 + 0 + 1/3*a**5.
a**2*(a - 2)*(a - 1)*(a + 1)/3
Let k(c) be the first derivative of -1/48*c**4 + 23 + 0*c + 0*c**3 - c**2 - 1/480*c**6 - 1/80*c**5. Let a(o) be the second derivative of k(o). Factor a(x).
-x*(x + 1)*(x + 2)/4
Let o be -1 + 0 - (-68)/(-8)*2. Let j be 4 - (-2 - o)*-1. Let a**4 - a**2 - 20 + j = 0. What is a?
-1, 0, 1
Factor -4*s + 14*s - 475*s**3 + 472*s**3 - 9*s**2 + 2*s.
-3*s*(s - 1)*(s + 4)
Let y = 21 + -10. Suppose -m - y = -13. Let h**2 + 2 - 8*h**m + 4 + 3*h + h**2 - 3*h**3 = 0. What is h?
-2, -1, 1
Let w = 162 + -156. Suppose 35*c - w = 33*c. Factor 0 + 1/4*q**4 + 0*q**c + 0*q - 1/4*q**2.
q**2*(q - 1)*(q + 1)/4
Let g(c) be the second derivative of c**7/126 + c**6/45 - c**5/12 - 5*c**4/18 + 2*c**3/9 + 4*c**2/3 + 1057*c. Let g(y) = 0. What is y?
-2, -1, 1, 2
Suppose -4*t + 2410 = 6*t. Solve 240*l**3 - 24*l**2 + t*l**3 - 479*l**3 - 20 + 42*l = 0.
1, 10
Let q(x) = -x**3 - x**2 - x. Let u = -123 - -118. Let f(a) = 3*a**3 - 4*a**2 + 6. Let r(g) = u*q(g) - 5*f(g). Solve r(p) = 0 for p.
-1, 3/2, 2
Let k(s) be the first derivative of 22 + 16*s**3 - 1 + 3*s**4 - 49*s + 2*s**2 - 4*s**4 + s. Factor k(d).
-4*(d - 12)*(d - 1)*(d + 1)
Let s(k) = -k**3 + 4*k**2 + 14*k - 10. Let l be -5 + (1*17 - (2 + 4)). Let o be s(l). Determine g so that -81/5 - 1/5*g**o - 18/5*g = 0.
-9
Let z(y) be the second derivative of -15/8*y**3 + 1 - 18*y - 3/80*y**5 - 75/8*y**2 + 9/16*y**4. Factor z(k).
-3*(k - 5)**2*(k + 1)/4
Let z(c) = 71*c - 4. Let u be z(-7). Let d = -355 - u. Find m, given that d - 2*m**5 - 146 = 0.
0
Solve -13452*k + 4*k**2 - 58431 + 250275 + 15204*k = 0.
-219
Let v(h) = h**4 - h**3 - h**2 - 7*h. Let j(f) = 26*f**4 - 2*f**3 + 32*f**2 - 168*f. Let k(a) = j(a) - 24*v(a). Factor k(d).
2*d**2*(d + 4)*(d + 7)
Solve 0 + 11*o**2 + 1/5*o**5 - 19/5*o**4 + 38/5*o - 3/5*o**3 = 0 for o.
-1, 0, 2, 19
Factor 224*s + 320 + 171*s + 9*s + 152*s - 7*s**2.
-(s - 80)*(7*s + 4)
Let k(m) be the second derivative of -m**7/21 + 37*m**6/30 - 9*m**5/20 - 83*m**4/6 + 34*m**3/3 + 36*m**2 - 143*m - 13. Determine s so that k(s) = 0.
-2, -1/2, 1, 2, 18
Let z be (12 + -4 - 4)*(-15)/(-72). Let d(n) be the first derivative of 3/8*n**4 + 9/4*n - 8 - 3/20*n**5 - 1/24*n**6 - 21/8*n**2 + z*n**3. Factor d(b).
-(b - 1)**3*(b + 3)**2/4
Suppose 1 + 9 = -5*r. Let d be -1 + 5 + 0/r. Determine x so that -x**2 + 2*x + 6*x**4 + x**3 - x**2 - d*x**4 - 3*x**3 = 0.
-1, 0, 1
Let p(o) = -5957*o**4 - o + 5958*o**4 - 1 + 0*o**2 - o**2. Let z(c) = -16*c**4 - 25*c**3 + 21*c**2 + 21*c + 1. Let j(y) = p(y) + z(y). Factor j(m).
-5*m*(m - 1)*(m + 2)*(3*m + 2)
Let i = -657260/11 - -59704. Let g = i - -1043/22. Factor 2*l**2 + 1/2*l - 3 + g*l**3.
(l - 1)*(l + 2)*(l + 3)/2
Let o = -19/100 - -107/300. Let 1/6*i**2 + o*i - 1/3 = 0. Calculate i.
-2, 1
Suppose 4*a = 1086*f - 1095*f + 71, -5*a + 3*f = 11. Solve -23/8*v**a - 1/2 + 5/2*v + 7/8*v**3 = 0.
2/7, 1, 2
Solve 3*n**2 + 7/2*n - 30 - 1/2*n**3 = 0 for n.
-3, 4, 5
Let p(x) be the second derivative of -x - 3/4*x**2 + 1 + 1/24*x**4 + 1/6*x**3. Solve p(b) = 0.
-3, 1
Let x(h) be the second derivative of 2*h**6/75 - 7*h**5/25 - 28*h**4/15 - 8*h**3/3 + 162*h + 1. Factor x(o).
4*o*(o - 10)*(o + 1)*(o + 2)/5
Let g(m) = -m**2 - 312*m + 23692. Let h(x) = -2*x**2 - 314*x + 23680. Let a(y) = 3*g(y) - 2*h(y). Factor a(p).
(p - 154)**2
Let -58*n - 626*n - 12 - 548*n**3 - 280*n**3 - 1335*n**2 - 165*n**4 = 0. Calculate n.
-2, -1, -1/55
Suppose 9*j + 71*j + 37*j - 980 + 51*j - 12*j**2 + 8*j**2 = 0. What is j?
7, 35
Let -4*b**5 - 688*b - 138 + 155*b**3 + 278 - 96*b**2 + 820 - 39*b**3 = 0. Calculate b.
-5, -3, 2, 4
Let z(h) = 3*h**5 - 2*h**4 - h**3 - h + 1. Let b(v) = -8*v**5 + 28*v**3 + 52*v**2 - 70*v - 146. Let r(c) = -b(c) - 2*z(c). Suppose r(j) = 0. Calculate j.
-3, -2, 2, 3
Let r(n) be the second derivative of -n + 1/18*n**6 + 1/6*n**5 + 0*n**2 - 8 + 0*n**3 - 5/12*n**4. Let r(b) = 0. What is b?
-3, 0, 1
Let t(z) = -10*z**2 + 25*z + 15. Let g(b) = 3*b**2 - 2. Let n(i) = i**2 - 1. Let a(v) = -2*g(v) + 5*n(v). Let y(p) = 5*a(p) + t(p). Factor y(r).
-5*(r - 2)*(3*r + 1)
Solve 0*x**3 - 42*x - 37*x**2 + 17 - 2*x**3 + 23 - 41*x**2 + 6*x**3 = 0.
-1, 1/2, 20
Let k be (8/(-42))/(3/(-9)). Let q be ((-65)/26)/(16/64) + 13. Factor 4/7 + 4/7*i**q - 4/7*i - k*i**2.
4*(i - 1)**2*(i + 1)/7
Let s(o) = 15*o**3 - 16*o**2 + 45*o. Let z(f) = 9*f**3 - 17974*f**2 - 2*f**3 + 17966*f**2 + 22*f. Let h(x) = -6*s(x) + 13*z(x). Factor h(q).
q*(q - 4)**2
Suppose -3*d = -4*i + 211, 10*i - 171 = 6*i - 5*d. Factor q**3 + i*q**4 - 30*q**4 - 22*q**4 - q + 3*q**2.
-q*(q - 1)*(q + 1)*(3*q - 1)
Let h = 4197 + -2135. Let v = h - 2062. Solve 0*i**2 + v - 4/9*i**3 + 0*i - 2/9*i**4 = 0.
-2, 0
Let z(h) = -18*h**5 - 3*h**4 + 14*h**3 - 2*h**2 + 4*h. Let x(s) = -3*s**5 + s**3 - s**2 + 2*s. Let y(u) = 5*x(u) - z(u). Solve y(d) = 0 for d.
-2, -1, 0, 1
Factor -620 + 5*u**4 + 3300*u + 175*u**3 - 1133 - 559 - 912 + 704 - 1390*u**2.
5*(u - 3)*(u - 2)**2*(u + 42)
Let u(d) = 3*d**2 + 2*d - 25. Let h be u(-4). What is g in -33 + 18 + 32*g + h - 4*g**2 = 0?
0, 8
Suppose 0 = f - 3*z + 1612, -2*f + 5*f + 4848 = 5*z. Let m = f + 1621. Factor 0*o + m + 8/5*o**3 + 0*o**4 - 2/5*o**5 + 0*o**2.
-2*o**3*(o - 2)*(o + 2)/5
Let o(i) be the second derivative of 5*i**4/24 - 3805*i**3/3 + 2895605*i**2 - 475*i - 1. What is h in o(h) = 0?
1522
Let d(o) be the first derivative of -o**8/504 + 4*o**7/315 - o**6/45 + o**2 - 26*o + 84. Let b(i) be the second derivative of d(i). Factor b(g).
-2*g**3*(g - 2)**2/3
Factor 2/9*q**4 + 66248/9 - 64792/9*q + 356/9*q**3 + 5038/3*q**2.
2*(q - 2)**2*(q + 91)**2/9
Let h be (-687)/229 - (-17 + 7)*8/10. Let z(f) be the third derivative of 7*f**2 + 0*f - 3/2*f**4 - 1/30*f**6 + 8/3*f**3 + 2/5*f**h + 0. Factor z(u).
-4*(u - 4)*(u - 1)**2
Let i(q) be the first derivative of q**3/12 + 593*q**2/8 + 148*q + 1967. Factor i(h).
(h + 1)*(h + 592)/4
Let k(s) be the second derivative of 2*s**6/15 + 46*s**5/5 + 781*s**4/3 + 3864*s**3 + 31752*s**2 - 161*s. Determine m so that k(m) = 0.
-14, -9
Let h(z) be the first derivative of -1/3600*z**6 + 26 + 1/120*z**4 + 0*z**2 + 0*z - 5*z**3 + 1/1200*z**5. Let c(r) be the third derivative of h(r). Factor c(i).
-(i - 