23*p**2 = 0.
-1, 2
Let y(t) be the third derivative of -13/12*t**4 - 22/3*t**3 + 213*t**2 + 0 + 0*t - 1/30*t**5. Factor y(o).
-2*(o + 2)*(o + 11)
Let v be -12*(13 - 1219/92). Determine g, given that 134/7*g**2 - 39/7*g - 180/7*g**v + 27/7*g**5 + 4/7 + 54/7*g**4 = 0.
-4, 1/3, 1
Let t(o) be the second derivative of 0*o**2 + 1/30*o**4 - 3 + 2/15*o**3 + 14*o. Find f such that t(f) = 0.
-2, 0
Suppose -132 = 3*v - 3*o + 69, 92 = -v - 4*o. Let u be (-10)/(-4)*v/(-60). Determine w, given that -16*w + 4*w**u - 20*w**2 - 8*w**3 + 0*w**3 = 0.
-4, -1, 0
Factor 0 - 1/6*i**3 - 6*i**2 - 33/2*i.
-i*(i + 3)*(i + 33)/6
Let m(o) = -o**3 + 207*o**2 + 481*o - 56779. Let a be m(208). Solve -9/4*s**2 + 0 - 15/4*s**4 - 3/4*s**a + 0*s - 21/4*s**3 = 0 for s.
-3, -1, 0
Let l = -8562 + 8594. Let b(d) be the first derivative of -35/6*d**6 + l - 10*d + 20/3*d**3 - 2*d**5 + 35/2*d**4 - 35/2*d**2. Determine o so that b(o) = 0.
-1, -2/7, 1
Suppose v + 80 = 21*v. Factor -30*h**3 - 7*h**2 - 28 + 24*h**2 + 9*h**2 - 592*h**v + 594*h**4 + 30*h.
2*(h - 14)*(h - 1)**2*(h + 1)
Let x(t) = 2*t**3 - t - 1. Let k(q) = 4*q**4 + 356*q**3 - 348*q**2 - 690*q - 10. Let l(y) = -k(y) + 10*x(y). Factor l(f).
-4*f*(f - 2)*(f + 1)*(f + 85)
Let h be ((-103)/((-13905)/18))/(3/170). Factor 0 - h*l**2 - 2/9*l**3 - 578/9*l.
-2*l*(l + 17)**2/9
Let o(y) be the third derivative of 1/120*y**6 - 61*y**2 - 7/24*y**4 + 0 - y**3 + 0*y**5 + 0*y. Factor o(z).
(z - 3)*(z + 1)*(z + 2)
Let s(r) = -1 + 15*r**2 + 0*r**3 - 2*r + 14 - r**3 + 19. Let j be s(15). Determine u so that -u**4 + 3*u**j + 2*u**3 - 12*u**3 + 8*u**3 = 0.
-3, 0, 1
Let q be ((-70)/30 + 1)/((-2)/3). What is t in 6*t**3 - 9*t**q - 2*t**4 + 60*t - 24*t + 3*t**2 - 34*t = 0?
0, 1
Let t be (2/6)/(5/(-105)*-7). Let f be (-4 + t)/(114/(-152)). Factor 0*r**3 - 1/3*r**f + r**2 + 2/3*r + 0.
-r*(r - 2)*(r + 1)**2/3
Suppose -5 = 17*m - 22*m. Let x be 2/1 + 4 - m. Factor -175 - 480*q - 874*q**3 - 5 - x*q**5 + 45*q**4 + 859*q**3 - 365*q**2.
-5*(q - 6)**2*(q + 1)**3
Let b(w) be the second derivative of w**5/20 + 13*w**4/36 - 26*w**3/9 + 14*w**2/3 + 48*w + 7. Factor b(s).
(s - 2)*(s + 7)*(3*s - 2)/3
Let z(g) = g**3 - 15*g**2 + 2. Let u be z(15). Suppose -u*k + 3*d = 4*d, 2*d + 14 = 3*k. Factor -100 - 40*y - 13*y**k - y**2 + 10*y**2.
-4*(y + 5)**2
Let o = 4818 - 4803. Let j(f) be the second derivative of 14*f + o*f**2 - 5/12*f**4 + 0 + 5/6*f**3. Find t, given that j(t) = 0.
-2, 3
Let q(x) be the second derivative of 7*x**4/120 - 9*x**3/4 + 19*x**2/10 + 90*x - 2. Suppose q(w) = 0. What is w?
2/7, 19
Let u be (64/(-14))/((-120256)/1344 - -89). Find g, given that u*g**3 + 96/5*g - 16/5 - 28*g**2 = 0.
1/4, 2/3, 2
Let g = 5452/48987 + -1/5443. Let n(a) be the second derivative of 0 + 1/18*a**4 + g*a**3 - 6*a - 2*a**2. Factor n(j).
2*(j - 2)*(j + 3)/3
Let u be ((-8)/7)/((-8028)/4683). Let 0 - 20/3*c**3 + 18*c**2 - 12*c + u*c**4 = 0. What is c?
0, 1, 3, 6
Let t(i) = 3*i**2 - i + 1. Let n(d) = 7*d**2 - 274*d - 3641. Let o(f) = n(f) - 4*t(f). Find g such that o(g) = 0.
-27
Let z(b) = b**3 + 51*b**2 - 108*b - 980. Let s(o) = 2*o**3 + 48*o**2 - 108*o - 982. Let x(m) = 4*s(m) - 5*z(m). Factor x(i).
3*(i - 18)*(i - 6)*(i + 3)
Suppose -21450 = 8412*w - 9127*w. Factor -45/4*c**2 + 5/4*c**3 + 35/2*c + w.
5*(c - 6)*(c - 4)*(c + 1)/4
Let q(c) be the third derivative of -c**8/672 - c**7/21 - 23*c**6/40 - 44*c**5/15 - 77*c**4/48 + 49*c**3 - 3*c**2 - 104*c - 3. Solve q(r) = 0.
-7, -4, -3, 1
Factor -2/7*p**3 - 2096/7 - 4194/7*p - 300*p**2.
-2*(p + 1)**2*(p + 1048)/7
Let v(c) = -5*c**3 - 102*c**2 - 36*c + 82. Let o be v(-20). Solve -7/4 + 2*k - 1/4*k**o = 0.
1, 7
Let o = 49427/5 - 9885. Suppose 48/5 - o*s**2 + 4*s = 0. What is s?
-2, 12
Solve 14/5*y**4 - 14/5*y**2 - 23/5*y**3 + 24/5*y + 0 - 1/5*y**5 = 0.
-1, 0, 1, 2, 12
Let q be (-192)/(-80)*(465/(-270) + 2). Solve -2/3*a + q*a**2 - 4/3 = 0 for a.
-1, 2
Let p(b) be the second derivative of 9*b**7/7 - 2*b**6/35 - 27*b**5/10 + b**4/7 + 275*b - 1. Suppose p(l) = 0. What is l?
-1, 0, 2/63, 1
Let i(p) be the third derivative of 0*p**3 - 205*p**2 - 1/8*p**4 + 1/5*p**5 + 0 + 2/35*p**7 - 3/20*p**6 - 1/112*p**8 + 0*p. Solve i(n) = 0.
0, 1
Find n, given that 688323/7 + 2874/7*n + 3/7*n**2 = 0.
-479
Solve -278*r**2 - 372*r + 475 + 11*r**3 + 247 - 114*r - 21*r**3 + 52 = 0.
-129/5, -3, 1
Let j be (-88)/(-28) - (-1)/((2 - 14) + 13)*2. Let 0 - j*o**3 - 2/7*o**4 + 0*o - 34/7*o**2 = 0. What is o?
-17, -1, 0
Let c(q) be the first derivative of q**5/100 + 9*q**4/40 + 13*q**2/2 - 108. Let m(b) be the second derivative of c(b). Let m(f) = 0. What is f?
-9, 0
Let b = -741 + 1343. Suppose 598*q = b*q - 12. Factor -64/5 + 96/5*y - 36/5*y**2 + 4/5*y**q.
4*(y - 4)**2*(y - 1)/5
Let n(w) be the second derivative of -w**10/70560 + w**8/7840 - w**6/1680 - 31*w**4/6 - 39*w + 1. Let k(q) be the third derivative of n(q). Factor k(c).
-3*c*(c - 1)**2*(c + 1)**2/7
Solve -30*y**2 + 51*y**2 - 573*y - 96*y - 17*y**2 - 839*y = 0 for y.
0, 377
Suppose 4000373*r**3 - 4000371*r**3 - 515*r + 92*r**2 + 212*r**2 - 415*r = 0. What is r?
-155, 0, 3
Let o(d) = d**2 - 56*d - 1517. Let b be o(76). Let j be (-1)/3 - (-23)/15. Factor 11/5*a + 6/5 + j*a**2 + 1/5*a**b.
(a + 1)*(a + 2)*(a + 3)/5
Let l(z) = 50*z**3 + 1637*z**2 + 16275*z + 18156. Let k(s) = 348*s**3 + 11460*s**2 + 113924*s + 127088. Let a(q) = 3*k(q) - 20*l(q). Factor a(o).
4*(o + 18)**2*(11*o + 14)
Let m(t) be the third derivative of -t**7/630 + t**6/120 + t**5/30 - 7*t**4/18 + 4*t**3/3 - 1231*t**2. Find d such that m(d) = 0.
-3, 2
Let z = 112 + -92. Let a(l) = -12*l**4 + 20*l**3 - 92*l**2 - 20. Let g(s) = 2*s**4 - 3*s**3 + 13*s**2 + 3. Let i(j) = z*g(j) + 3*a(j). Solve i(c) = 0 for c.
-2, 0, 2
Let h(d) = -7*d**3 + 165*d**2 - 2161*d + 2103. Let f(w) = 4*w**3 - 83*w**2 + 1070*w - 1051. Let z(c) = -5*f(c) - 3*h(c). Determine a, given that z(a) = 0.
1, 17, 62
Let k(o) = -90 + 0*o**2 - 13*o + o**2 + 104. Let r be k(12). Determine s, given that -r*s**2 - 2/3*s**3 + 2*s**4 + 0*s + 2/3*s**5 + 0 = 0.
-3, -1, 0, 1
Let g(h) = h**5 - 12*h**4 + 73*h**3 - 75*h**2 + 43*h - 5. Let i(z) = z**4 + z**3 + 5*z**2 - z - 1. Let m(u) = 2*g(u) - 10*i(u). Find j such that m(j) = 0.
0, 1, 2, 12
Factor 21*d + 19 + 34 + 127 - d**2 - 200.
-(d - 20)*(d - 1)
Let t(l) = 20*l**4 + 300*l**3 + 288*l**2 - 100*l. Let g(p) = -3*p**3 + p**2 + p. Let y(c) = 28*g(c) + t(c). Factor y(w).
4*w*(w + 2)*(w + 9)*(5*w - 1)
Let d(z) be the first derivative of -3*z**4/4 + 10*z**3 + 9*z**2/2 - 324*z - 2551. Factor d(t).
-3*(t - 9)*(t - 4)*(t + 3)
Let u(o) = -11*o**3 + 91*o**2 - 80*o - 6. Let p(g) = -12*g**3 + 92*g**2 - 80*g - 7. Let y(c) = 6*p(c) - 7*u(c). Factor y(q).
5*q*(q - 16)*(q - 1)
Let m = 2105 - 2103. Suppose -m*q = 3*p - 5, 5*p - 195*q + 200*q - 5 = 0. Factor -512/15 + 32/3*i**p + 64/3*i**2 + 2*i**4 + 0*i + 2/15*i**5.
2*(i - 1)*(i + 4)**4/15
Let w(r) = -25*r**3 + 6*r**2 + r. Let d(q) = -q + 12. Let t be d(6). Let c(f) = -150*f**3 + 34*f**2 + 7*f. Let x(z) = t*c(z) - 34*w(z). Factor x(m).
-2*m*(5*m - 2)*(5*m + 2)
Factor 80*i**2 - 4/7*i**3 - 557/7*i + 139/7.
-(i - 139)*(2*i - 1)**2/7
Solve -160*l**3 + 15*l**3 + 47*l - 37*l + 5*l**3 + 28*l**2 - 23*l**2 = 0 for l.
-1/4, 0, 2/7
Let k(z) = z**2 - 27*z + 61. Let w be k(18). Let m = -1715/17 - w. Let -2/17*j**5 + 4/17*j**2 + m - 4/17*j**3 + 6/17*j - 6/17*j**4 = 0. What is j?
-1, 1
Let v(k) be the third derivative of 3*k**2 + 1/15*k**5 - 52*k + 12*k**3 - 11/6*k**4 + 0. Factor v(z).
4*(z - 9)*(z - 2)
Let i(c) be the third derivative of 2*c**2 + 0 - 8993/6*c**4 + 0*c - 67/30*c**6 + 48668/3*c**3 - 2/105*c**7 - 483/5*c**5. Factor i(m).
-4*(m - 2)*(m + 23)**3
Suppose 130*a - 135*a + 5 = 0. Let l be ((-58)/(-6) - a) + (-8)/6. Factor 8/3*t**2 - l*t + 2/3*t**3 + 4.
2*(t - 1)**2*(t + 6)/3
Let r(h) be the third derivative of h**8/1008 + 2*h**7/315 - h**6/40 - 4*h**5/45 + 5*h**4/18 - 8*h**2 - 6. What is c in r(c) = 0?
-5, -2, 0, 1, 2
Let x = 791 - -133. Let g be ((-99)/x)/(1/(-7)). Determine y so that -g + 1/2*y**3 + 1/2*y + 7/4*y**2 = 0.
-3, -1, 1/2
Let b be (7 - (-236)/(-36))/((-248)/(-1116)). Factor -1875/8 - 3/8*u**3 + 147/8*u**b - 1725/8*u.
-3*(u - 25)**2*(u + 1)/8
Let m(r) be the third derivative of 0 + 0*r**3 - 7/2*r**4 + 0*r + 1/15*r**5 + 105*r**2. Suppose m(c) = 0. What is c?
0, 21
Find i such that -14/9*i**5 + 0 - 182/9*