 4*a + 7*a**f - 10*a**2 - a**3 = 0. Calculate a.
0, 1, 4
Suppose 49/3*f**3 - 1/6*f**5 + 7/3*f**4 - 152*f**2 - 1521 - 2067/2*f = 0. Calculate f.
-6, -3, 13
Let n(g) = 2*g**3 + 26*g**2 - 2*g - 21. Let b be n(-13). Let q be (-40)/16*(-1)/b. Factor -y**4 - 1/2*y**3 + 0 + y**2 + q*y**5 + 0*y.
y**2*(y - 2)*(y - 1)*(y + 1)/2
Suppose 0*z**4 + 0 - 16/15*z - 12/5*z**2 - 22/15*z**3 + 2/15*z**5 = 0. What is z?
-2, -1, 0, 4
Let o be 21*45/5670 + (-3)/(18/(-11)). Solve 3/2*z**o - 18*z + 33/2 = 0.
1, 11
Let u(q) be the second derivative of -q**7/126 - 4*q**6/45 + q**5/3 - q**4/18 - 19*q**3/18 + 5*q**2/3 + 3780*q. Factor u(d).
-(d - 1)**3*(d + 1)*(d + 10)/3
Suppose 14 - 12 = r. Let a = -26500 + 185524/7. Factor a*q**r + 0 + 26/7*q**3 + 2/7*q**5 + 12/7*q**4 + 8/7*q.
2*q*(q + 1)**2*(q + 2)**2/7
Factor 1/2*m**3 - 56 + 225/2*m - 57*m**2.
(m - 112)*(m - 1)**2/2
Let p be (-42 - 5580/(-135))/((-7)/36). Determine x, given that 12/7*x**4 + 0 + 6/7*x + 20/7*x**2 + 2/7*x**5 + p*x**3 = 0.
-3, -1, 0
Let u(d) be the first derivative of d**9/1512 - d**8/280 + d**6/45 + 131*d**3/3 - 7. Let r(v) be the third derivative of u(v). Determine a, given that r(a) = 0.
-1, 0, 2
Find s such that -28 + 1/4*s**2 - 1/4*s**3 + 10*s = 0.
-7, 4
Let r(u) = -2*u + 5. Let i be r(7). Let j be (30/i)/5 + 28/6. Find t, given that 0*t**5 + 2*t**4 + 4*t**j + 3*t**5 - 3*t**3 - 3*t**2 - 3*t**4 = 0.
-1, 0, 1
Let b = -7 - -12. Suppose b*v + 6 = 2*y, -2*y + 5*v = 3*y - 15. Find j, given that -7*j + y*j**2 - 2*j + 9*j - 3 = 0.
-1, 1
Let q(l) be the second derivative of -l**7/70 - 117*l**6/50 - 13689*l**5/100 - 59319*l**4/20 + 4826*l. Determine r, given that q(r) = 0.
-39, 0
Suppose -p - 4*u - 94 = -125, 5 = 5*u. Let z be (p*(-6)/(-918))/((-3)/(-20)). Let z - 6/17*g - 2/17*g**2 = 0. Calculate g.
-5, 2
Let d(j) = -5*j**2 + 443*j - 436. Let c be d(1). Let s = 162 - 1456/9. Factor -s*z**c - 10/9*z - 8/9.
-2*(z + 1)*(z + 4)/9
Let g be 3 - (-76)/(-36)*90/66. Let a(c) be the first derivative of 1/33*c**6 - 1/11*c**2 + 16 + 0*c + g*c**3 - 4/55*c**5 + 0*c**4. Find d, given that a(d) = 0.
-1, 0, 1
Let l be 2*(-9)/(-12) + 2/4. Let v = -15755/7 + 2251. Solve 10/7*j**3 + 0*j + 0 - 10/7*j**5 - 2/7*j**l + v*j**4 = 0.
-1, 0, 1/5, 1
Let h = -638/9 + 1321/18. Factor 5/2*r**2 + 5/2*r**5 + 0*r - h*r**3 - 5/2*r**4 + 0.
5*r**2*(r - 1)**2*(r + 1)/2
Suppose 416*z - 141 = 1027 + 80. Factor -2/9*u**4 + 2/3*u**2 + 0 + 4/9*u**z + 0*u.
-2*u**2*(u - 3)*(u + 1)/9
Let g = -289539/10 - -57915/2. Let -g - 8/5*c**3 - 2/5*c**4 + 24/5*c + 4/5*c**2 = 0. What is c?
-3, 1
Factor -2*t + t**2 + t**3 + 11262274 - 11262274.
t*(t - 1)*(t + 2)
Let i(t) be the third derivative of t**6/360 - t**5/30 + 5*t**4/72 + 2*t**3/3 - 7*t**2 + 418. What is d in i(d) = 0?
-1, 3, 4
Let f(i) be the second derivative of -8/3*i**2 + 2*i + 10 + 1/36*i**4 + 5/6*i**3. Let f(n) = 0. What is n?
-16, 1
Let z(m) be the second derivative of -2 + 1/3*m**4 - 5/2*m**3 - 1/60*m**5 + 78*m + 25/3*m**2. Determine l, given that z(l) = 0.
2, 5
Factor z - 18714*z**3 - 22 + 18713*z**3 - 70*z**2 + 92.
-(z - 1)*(z + 1)*(z + 70)
Solve 108 + 804*r + 2977/3*r**2 + 338*r**3 = 0.
-18/13, -1/6
Let r(i) = -13*i**2 + 29*i - 166. Let d(p) = 4*p**2 - p - 1. Let j(u) = -3*d(u) - r(u). Suppose j(l) = 0. What is l?
13
Suppose 10*k**5 - 81685*k**3 + 2*k + 20*k**5 + 81709*k**3 + 19*k**2 - 73*k**4 - 2*k**5 = 0. Calculate k.
-1/4, -1/7, 0, 1, 2
Let f(h) be the second derivative of h**5/70 - 3*h**4/14 + 20*h**3/21 + 522*h. Suppose f(u) = 0. What is u?
0, 4, 5
Let q = -891 + 1273. Find r, given that -r**4 + 2*r + 2*r**5 - 4*r**2 - 386*r**3 + q*r**3 + 2 + 3*r**4 = 0.
-1, 1
Let o = -4617/160 + 949/32. Factor o - 2*v**2 + 18/5*v.
-2*(v - 2)*(5*v + 1)/5
Let v = -753 + 753. Let m = -798 - -803. Suppose 3*l**3 - 6/7*l**4 + v + 0*l + 6/7*l**2 - 3*l**m = 0. What is l?
-1, -2/7, 0, 1
Let u = 63061/4792 - 470/599. Solve 21/8*w + 0 + 27/2*w**2 + u*w**3 + 3/2*w**4 = 0.
-7, -1, -1/4, 0
Find n such that 11 - 2*n**2 - 32 - 22 + 24*n + 21 = 0.
1, 11
Suppose 7*l + 5*a + 60 = 12*l, 4*a + 8 = 0. Suppose 0 = -x - 4*z + l, 8*z = -x + 7*z + 4. Solve -6*m - 27/5 - 3/5*m**x = 0.
-9, -1
Let g be (-25)/(175/42) - 862/(-2). Factor -14700 + 845*d**2 + 420*d - 423*d**2 - g*d**2.
-3*(d - 70)**2
Let n be 62/(-5) - (-13)/(4*(-25)/(-100)). Factor 24/5*m + n*m**2 + 0.
3*m*(m + 8)/5
Let l(o) be the third derivative of -o**6/30 - 11*o**5/15 - 35*o**4/6 - 50*o**3/3 - o**2 + 59. Let l(h) = 0. What is h?
-5, -1
Let u(h) = h + 83. Let w be u(-24). Determine m so that 15 - 41*m**2 + w*m**2 + 36*m + 3*m**3 + 9 = 0.
-2
Let v(l) = -34*l**2 + 234*l + 1558. Let u(c) = 4*c**2 - 8*c - 2. Let g(f) = -18*u(f) - 2*v(f). Factor g(t).
-4*(t + 11)*(t + 70)
Let k be -4*7/(63/(-2463)). Let f = k - 1092. Factor -f - 4/3*z**2 - 4*z.
-4*(z + 1)*(z + 2)/3
Let y(v) be the third derivative of -v**5/270 - 169*v**4/54 - 28561*v**3/27 + 74*v**2 - 2. Solve y(o) = 0 for o.
-169
Let s(p) be the second derivative of p**6/120 + 7*p**5/16 - 13*p**4/8 - 35*p**3/6 + 37*p**2 - 230*p. Factor s(l).
(l - 2)**2*(l + 2)*(l + 37)/4
Let k(z) = z**4 - z**2 + 2*z - 1. Let x(i) = i**4 + 4*i**3 - i**2 + 6*i - 5. Let y(g) = -5*k(g) + x(g). Factor y(w).
-4*w*(w - 1)**2*(w + 1)
Let j(h) be the third derivative of -h**8/1848 + h**7/105 - 37*h**6/660 + 29*h**5/330 + 19*h**4/66 - 40*h**3/33 + 2*h**2 + 2*h - 359. Let j(k) = 0. Calculate k.
-1, 1, 2, 4, 5
Let c(p) = -p**2 + p + 1. Let l(s) = -4*s + 7. Let k be l(3). Let f = 6 + k. Let i(z) = 9*z**2 + 16*z + 11. Let q(y) = f*i(y) + 4*c(y). Factor q(g).
5*(g + 1)*(g + 3)
Let p(l) be the first derivative of l**5/10 + 17*l**4/30 - 134*l**3/15 - 56*l**2/5 + 15*l + 116. Let o(x) be the first derivative of p(x). Factor o(a).
2*(a - 4)*(a + 7)*(5*a + 2)/5
Suppose 38*j - 45 = 29*j. Factor 257*g**2 - 527*g**2 + j*g**5 + 255*g**2 - 10*g + 15*g**4 + 5*g**3.
5*g*(g - 1)*(g + 1)**2*(g + 2)
Let m(y) be the third derivative of y**6/60 - 47*y**5/30 - 49*y**4/6 + 11*y**2 - 17. Factor m(v).
2*v*(v - 49)*(v + 2)
Let y(d) be the third derivative of -11/36*d**3 + 0 + 5/32*d**4 + 0*d - 85*d**2 - 1/360*d**5. Solve y(i) = 0 for i.
1/2, 22
Let a(z) be the second derivative of 1/15*z**6 + 13/5*z**5 - 10*z + 10 + 0*z**3 + 25/6*z**4 + 0*z**2. Solve a(s) = 0 for s.
-25, -1, 0
Let f(q) be the first derivative of q**5/300 - q**4/120 - 2*q**3/5 - 57*q**2 + 250. Let j(t) be the second derivative of f(t). Factor j(l).
(l - 4)*(l + 3)/5
Let i(d) be the first derivative of -2*d**5/45 + 389*d**4/9 - 301082*d**3/27 - 101140*d**2/3 - 33800*d + 1145. Determine x so that i(x) = 0.
-1, 390
Let x be (-8 - -5 - -8) + 15/(-105)*17. Factor 0*w + x*w**4 + 0*w**2 - 3/7*w**5 + 0*w**3 + 0.
-3*w**4*(w - 6)/7
Let i(r) be the second derivative of r**6/15 + 21*r**5/10 + 14*r**4 + 64*r**3/3 - 1289*r - 1. What is g in i(g) = 0?
-16, -4, -1, 0
Let d = 54619 - 54617. Factor -116/3*j + 1682/3 + 2/3*j**d.
2*(j - 29)**2/3
Let i = -140 - -143. Factor 15*t**3 - 8*t**2 + 2*t**4 - 57*t**3 + 32*t**3 + 6 - 4*t + 14*t**i.
2*(t - 1)**2*(t + 1)*(t + 3)
Let s(h) be the first derivative of -5*h**3/3 - 17950*h**2 - 64440500*h - 13113. Solve s(k) = 0 for k.
-3590
Let u(v) be the second derivative of v**5/140 + 4*v**4/21 + 13*v**3/14 - v - 80. Factor u(l).
l*(l + 3)*(l + 13)/7
Determine f, given that -712/3*f**3 - 1/3*f**4 + 0*f - 237*f**2 + 0 = 0.
-711, -1, 0
Suppose -202*o + 145*o = -285. Let d(y) be the second derivative of -9*y + 3*y**2 + 1/4*y**3 + 0 - 3/40*y**o - 1/2*y**4. What is b in d(b) = 0?
-4, -1, 1
Let h be (10/2)/((-65)/(-39)). Factor -t**4 - 16893*t**h + 144*t**2 + 5*t**4 - 136*t + 16837*t**3 + 44.
4*(t - 11)*(t - 1)**3
Let z(o) be the second derivative of -o**6/10 + o**4/4 - 5*o**2/2 - 9*o. Let u = -40 - -39. Let a(r) = -1. Let v(l) = u*z(l) + 5*a(l). What is y in v(y) = 0?
-1, 0, 1
Let b(r) = -56*r**2 - 5*r + 6. Let y(u) = -231*u**2 - 18*u + 24. Let j(f) = 21*b(f) - 5*y(f). Let j(m) = 0. What is m?
-1, 2/7
Let p be 42/(-12)*1*(-44)/(-77) + 2. Let m(i) be the third derivative of 0*i + 1/32*i**4 + p*i**3 + 6*i**2 - 1/160*i**5 + 0. Factor m(j).
-3*j*(j - 2)/8
Let p(s) = -2*s**3 + 4838*s + 4926. Let z(a) = a**3 - 1935*a - 1969. Let k(r) = -7*p(r) - 18*z(r). Find g such that k(g) = 0.
-15, -1, 16
Let s(n) be the second derivative of -n**5/20 + 9*n**4/4 + 104*n**3 - 8450*n**2 + 1464*n. Suppose s(f) = 0. Wh