 - r = 0. Calculate r.
-2, 0, 3
Let c(t) be the first derivative of -2*t**3/15 - 728*t**2/5 - 264992*t/5 - 4939. Suppose c(h) = 0. What is h?
-364
Let i be 1800/(-15)*210/(-2310). Suppose 114/11*n + i - 12/11*n**2 - 6/11*n**3 = 0. Calculate n.
-5, -1, 4
Let l(m) be the third derivative of -m**5/90 + 13*m**4/9 + 224*m**3/9 + 103*m**2 - m - 1. Factor l(k).
-2*(k - 56)*(k + 4)/3
Let s(p) = 10*p**2 + 52*p + 169. Let g(w) = -3*w**2 - 17*w - 56. Let r(n) = -21*g(n) - 6*s(n). Suppose r(y) = 0. What is y?
-9, -6
Determine y, given that -5073*y + 15*y**2 + 4965*y - 14*y**2 = 0.
0, 108
Let k(n) be the third derivative of n**7/315 - 13*n**6/90 - 74*n**5/45 - 107*n**4/18 - 31*n**3/3 - 2*n**2 + 230. Find o, given that k(o) = 0.
-3, -1, 31
Determine j, given that -214*j + 730 - 2*j**2 + 1200 - 194 - 3320 = 0.
-99, -8
Factor 468 + 118*y - 64*y - 70*y - 4*y**2.
-4*(y - 9)*(y + 13)
Let d = -1293/5 - -261. Let k be (-3 - 129/(-45))*-12. Determine a, given that -k*a**3 + 0 + d*a**4 - 4/5*a**5 + 0*a**2 + 0*a = 0.
0, 1, 2
Let g(v) be the first derivative of -74/3*v**3 + 15/2*v**4 - 18*v - 91 + 33*v**2 - 4/5*v**5. What is c in g(c) = 0?
1/2, 1, 3
Suppose -v + 19 = o, -41*v + 38*v + 8*o = 152. Let d = 5/4 - -1/4. Factor v - 3/2*h**5 - 6*h**4 - 6*h**2 - d*h - 9*h**3.
-3*h*(h + 1)**4/2
Suppose -7*x = -120 + 22. Find f such that -2*f - 26*f**2 - x*f**4 - 6*f - 3818*f**5 + 3816*f**5 - 30*f**3 = 0.
-4, -1, 0
Let x(a) be the second derivative of -5*a**8/336 - a**7/42 + 114*a**2 - 110*a. Let u(j) be the first derivative of x(j). Factor u(z).
-5*z**4*(z + 1)
Let d(t) be the third derivative of t**7/70 + t**6/20 - 11*t**5/20 - 3*t**4/2 - 5977*t**2. Find u such that d(u) = 0.
-4, -1, 0, 3
Let h(y) be the third derivative of y**8/588 - 6*y**7/245 - y**6/210 + 3*y**5/35 + 589*y**2. Suppose h(c) = 0. What is c?
-1, 0, 1, 9
Suppose -4*g = -5*k + g, -6*g + g + 25 = 0. Let w(n) be the third derivative of 0*n - 7/20*n**k - n**3 - 6*n**2 + 9/8*n**4 + 0. Factor w(i).
-3*(i - 1)*(7*i - 2)
Factor 46*w**4 + 0 + 2/11*w**5 + 0*w + 510/11*w**2 - 1018/11*w**3.
2*w**2*(w - 1)**2*(w + 255)/11
Let t = 435 + -430. Suppose 2*h - d = 4*d + 9, -4*h + t*d = -13. Find b, given that 6*b**3 + 3/2*b**h + 0 - 6*b - 3/2*b**4 = 0.
-1, 0, 1, 4
Let p(c) be the first derivative of c**3/18 - c**2/4 - 3*c - 675. What is f in p(f) = 0?
-3, 6
Let b(v) be the first derivative of 3*v**4/32 - 71*v**3/8 - 3*v**2/16 + 213*v/8 - 2313. Suppose b(h) = 0. Calculate h.
-1, 1, 71
Let u = -711 - -736. Let f be u/28 + (-309)/412. Suppose -3/7*l - f*l**3 + 0 + 4/7*l**2 = 0. Calculate l.
0, 1, 3
Let v(w) = -w**3 + 31*w**2 + 31*w + 37. Let u be v(32). Let o be (u - (-48)/(-9))/(-1)*6. Determine t, given that 0 + 2/11*t + 6/11*t**3 + 8/11*t**o = 0.
-1, -1/3, 0
Let m(t) be the third derivative of 1/6*t**4 - 184*t + 0*t**3 + 2*t**2 - 1/180*t**5 + 0. Determine i so that m(i) = 0.
0, 12
Let p = -70 + 119. Let g = 58 - p. Solve -3*c + 12*c**3 - g*c**5 + 0*c - 6*c**4 - 31*c**2 + 37*c**2 = 0 for c.
-1, 0, 1/3, 1
Let y(m) be the second derivative of -m**6/15 - 23*m**5/30 + 4*m**4/9 + 671*m. Factor y(v).
-2*v**2*(v + 8)*(3*v - 1)/3
Solve 139*p**3 + 984*p**4 - 1113*p**4 + 146*p**3 - 471*p**2 + 60 + 12*p**5 + 150*p**3 + 93*p = 0 for p.
-1/4, 1, 4, 5
Let i(t) = t**2 + 26*t + 106. Let f be i(-5). Let l(j) = -1. Let b(r) = 4 - 11 + 5*r**2 - 8 - 15*r. Let h(d) = f*b(d) + 5*l(d). Factor h(a).
5*(a - 4)*(a + 1)
Let i(w) be the second derivative of 7*w**6/90 + 23*w**5/60 + 3*w**4/4 + 13*w**3/18 + w**2/3 + 413*w. Suppose i(u) = 0. Calculate u.
-1, -2/7
Let i(r) be the first derivative of 1/2*r**3 + 0*r - 6*r**2 - 1/16*r**4 + 17 - 1/40*r**5. Let c(z) be the second derivative of i(z). Find w such that c(w) = 0.
-2, 1
Let a(z) be the first derivative of -5*z**6/6 + 105*z**5 - 3760*z**4 + 66520*z**3/3 - 51000*z**2 + 50000*z - 6393. Find l such that a(l) = 0.
1, 2, 50
Let u(g) be the third derivative of 0*g**3 + 0 + 1/180*g**6 + 0*g + 1/45*g**5 - 1/24*g**4 - 2/315*g**7 + 1/1008*g**8 - 170*g**2. Factor u(a).
a*(a - 3)*(a - 1)**2*(a + 1)/3
Let y be 6/9 + (-9)/((-135)/35). Suppose 2*r**4 + 61 + r - r**3 - r**4 - 59 - y*r**2 = 0. What is r?
-1, 1, 2
Let o(a) be the third derivative of 37/20*a**5 - 235*a**2 + 1/70*a**7 + 0*a + 0 + 8*a**3 - 21/4*a**4 - 3/10*a**6. Factor o(l).
3*(l - 8)*(l - 2)*(l - 1)**2
Let n be (-2)/11 + (-29 + 6 - (-56784)/2310). Determine f so that 9/5*f + n + 2/5*f**2 = 0.
-7/2, -1
Let n(i) be the second derivative of -i**6/165 + i**5/11 + 58*i**4/11 + 662*i**3/33 + 325*i**2/11 - 2*i + 300. Determine y, given that n(y) = 0.
-13, -1, 25
Let v(s) be the first derivative of 2*s**5/5 + s**4 - 38*s**3/3 - 68*s**2 - 120*s - 97. Factor v(u).
2*(u - 5)*(u + 2)**2*(u + 3)
Find u such that -9*u**3 - 12*u**3 + 22*u**2 + 46*u**3 - 12*u**3 - 11*u**3 + 90 - 114*u = 0.
-15, 1, 3
Let j = -393 + 803/2. Suppose -61 = 3*n + 5*f, -8*n - 460 = f + 3*f - 428. Factor 8*u**2 + 5/2*u**4 + j*u**n + 2*u + 0.
u*(u + 1)*(u + 2)*(5*u + 2)/2
Find d, given that -2668 - 28*d + 2*d**2 + 1351 + 1407 = 0.
5, 9
Find y such that -720 - 2072*y - 1976*y + 3972*y - 2*y**2 = 0.
-20, -18
Let q(a) be the third derivative of -3/112*a**8 - 1/10*a**7 + 188*a**2 + 19/40*a**6 + 0*a + 7*a**4 + 6*a**3 + 67/20*a**5 + 0. Suppose q(u) = 0. What is u?
-2, -1, -1/3, 3
Suppose -h = 2*b - 61, 3*b = -2*h - 1 + 118. Factor -9*j**3 - 6*j**2 + h + 6*j**4 - 31 - 20.
3*j**2*(j - 2)*(2*j + 1)
Suppose i = 3*s - 6, 13*i - 10 = 11*i - 5*s. Suppose 0 = -i*p - 10*p - 2*p. Factor p*j + 0*j**2 + 2/3*j**4 - 1/3*j**5 + 0 - 1/3*j**3.
-j**3*(j - 1)**2/3
Suppose -4*g + 154 = 3*b + 134, b - 4*g = -20. Find q, given that b*q + 0 + 2/7*q**2 - 2/7*q**4 - 1/7*q**5 + 1/7*q**3 = 0.
-2, -1, 0, 1
Let i = 307 - 305. Factor -36*v - 4 + 46 - 4*v**2 - i.
-4*(v - 1)*(v + 10)
Let x be (-1 - 3/1)*(1 - 817/602). Find v, given that -4/7 - x*v - 6/7*v**2 = 0.
-1, -2/3
Let a be ((-18)/1944)/((-9)/534). Let s = a + -4/81. Factor h - s - 1/2*h**2.
-(h - 1)**2/2
Let o(d) be the second derivative of 33/10*d**4 - 140*d + 3/5*d**5 + 34/5*d**3 + 69/10*d**2 + 0 - 1/50*d**6. Determine w, given that o(w) = 0.
-1, 23
Let h(p) be the third derivative of p**7/350 + 77*p**6/600 + 157*p**5/150 + 107*p**4/30 + 28*p**3/5 + 1025*p**2. Determine w so that h(w) = 0.
-21, -2, -2/3
Let w(q) be the first derivative of 2*q**6/3 + 28*q**5/5 + 18*q**4 + 80*q**3/3 + 16*q**2 + 656. What is z in w(z) = 0?
-2, -1, 0
Let l = 263 - 78. What is v in -185 - 2*v**2 + 12*v - v**2 + l = 0?
0, 4
Let y = 16064 + -16061. Let w(b) be the first derivative of -16 + 2/9*b**2 - 2/9*b**4 + 14/27*b**y + 0*b. What is f in w(f) = 0?
-1/4, 0, 2
Factor -1232*y**2 + 315*y**2 - 445*y**2 - 4*y**4 + 912*y - 729*y**2 + 263*y**2 + 920*y**3.
-4*y*(y - 228)*(y - 1)**2
Let l(a) = -a**4 - a**3 - a**2 + a + 1. Let z(t) = 4*t**4 - 14*t**3 + 26*t**2 - 2*t - 2. Let m(r) = 2*l(r) + z(r). Let m(y) = 0. Calculate y.
0, 2, 6
Let g(v) = 2*v**2 - 7052*v + 14098. Let l be g(2). Factor 16/13 + 2/13*w**3 - 20/13*w + 2/13*w**l.
2*(w - 2)*(w - 1)*(w + 4)/13
Let p(r) be the second derivative of r**6/10 + 6*r**5/5 - 2010*r. Find k such that p(k) = 0.
-8, 0
Find o, given that -3/2*o**2 - 31/2*o + 30 = 0.
-12, 5/3
Let s = 9389 + -9383. Let p(t) be the second derivative of -1/10*t**5 + 0 + 5/3*t**3 - 1/3*t**4 - 50*t + s*t**2. Factor p(n).
-2*(n - 2)*(n + 1)*(n + 3)
Solve -4/5*n**2 - 195364/5 - 1768/5*n = 0.
-221
Let w(q) be the third derivative of 3*q**4/8 + 59*q**3/6 + 42*q**2 + q. Let p be w(-6). Factor 0 + 2/15*r**p + 2/15*r**3 + 0*r - 4/15*r**4 + 0*r**2.
2*r**3*(r - 1)**2/15
Let x be (-4)/(-14) - (985 - 985). Solve -x*s**4 + 50/7*s**2 - 144/7 - 2/7*s**5 - 132/7*s + 38/7*s**3 = 0 for s.
-3, -1, 2, 4
Let x = 483843 + -483817. Factor x*y - 5*y**2 - 20/3 - 275/6*y**3.
-(5*y - 2)**2*(11*y + 10)/6
Let s(x) be the third derivative of -x**6/480 + 29*x**5/240 + 5*x**4/12 - 550*x**3/3 - 1422*x**2. Find k, given that s(k) = 0.
-11, 20
Let x be (-5064)/633*2/(-8). Find o, given that 18/7*o**3 + 10/7*o**5 + 24/7*o**4 + 0*o + 4/7*o**x + 0 = 0.
-1, -2/5, 0
Find y such that -1/5*y**5 - 39/5*y**4 - 2304/5 - 99*y**3 - 4128/5*y - 2281/5*y**2 = 0.
-16, -3, -1
Let f be 4/30*(-1)/(10/(-120)). Let w = -55 - -57. Determine c so that f*c**w + 4*c**5 + 4/5*c**3 + 0 - 32/5*c**4 + 0*c = 0.
-2/5, 0, 1
Suppose 2*u + 5*b = 0, -3*u - 