Let i(v) = u(v) + 5*x(v). Suppose i(l) = 0. What is l?
90/7
Let z(i) be the first derivative of -i**5/50 + i**4/5 - i**3/3 - 52*i - 142. Let q(v) be the first derivative of z(v). Solve q(m) = 0.
0, 1, 5
Let r be -94*4/(-120) - (-161 - -164). Factor 292/15*o**3 + 7008/5*o - r*o**4 - 10946/15*o**2 - 3456/5.
-2*(o - 72)**2*(o - 1)**2/15
Suppose -422*h = -420*h + 5*n - 59, -3*h = -4*n + 38. Find x such that 58/5*x + 54/5*x**3 - 18*x**2 - 12/5 - h*x**4 = 0.
2/5, 1, 3
Let c(z) be the first derivative of 3*z**4/4 - z**3 - 75*z**2/2 + 75*z - 186. Let c(a) = 0. Calculate a.
-5, 1, 5
Let f(g) be the first derivative of g**3/15 + 9*g**2/5 + 32*g/5 + 1303. Factor f(n).
(n + 2)*(n + 16)/5
Let w(b) = 147*b**3 + 25059*b**2 + 1069227*b + 10. Let q(c) = -588*c**3 - 100233*c**2 - 4276908*c - 42. Let l(y) = 5*q(y) + 21*w(y). Let l(s) = 0. What is s?
-597/7, 0
Let z(l) be the first derivative of -4*l**5/5 + 368*l**4 - 60024*l**3 + 3630960*l**2 + 7443468*l + 276. Suppose z(a) = 0. Calculate a.
-1, 123
Let s(f) be the first derivative of 6 - 1/96*f**4 + 17*f + 1/8*f**2 + 1/48*f**3. Let l(p) be the first derivative of s(p). Find j such that l(j) = 0.
-1, 2
Let u(i) be the second derivative of -1/5*i**5 - 65*i - 4/3*i**4 - 10/3*i**3 + 0 - 4*i**2. Determine m, given that u(m) = 0.
-2, -1
Let h(r) be the third derivative of 7*r**5/150 + 109*r**4/36 - 26*r**3/45 - 440*r**2 - 9*r - 2. What is m in h(m) = 0?
-26, 1/21
Let o(a) be the second derivative of 1/15*a**6 + 0 + 1/3*a**4 - 3*a**2 - 2/5*a**5 + 4/3*a**3 + 57*a. Solve o(h) = 0 for h.
-1, 1, 3
Let s = -2102693/5 - -420541. What is c in 12/5*c**2 - 9*c**4 + 0*c + 36/5*c**3 + s*c**5 + 0 = 0?
-1/4, 0, 2
Let i(z) = -2*z**3 - z**2 - 1. Let m(b) = -3*b**2 - 5*b**2 + 20*b**3 - 34*b - 9 + 12*b**2 - 9*b**2. Let g(r) = -22*i(r) - 2*m(r). Determine l so that g(l) = 0.
-5, -2, -1
Let y be -17 + -187 - (1 + 3). Let v = 210 + y. Solve -8/11*s + 0 - 2/11*s**3 + 8/11*s**v = 0 for s.
0, 2
Let v(l) be the second derivative of l**5/5 - 42*l**4 + 2646*l**3 - 1552*l. Factor v(i).
4*i*(i - 63)**2
Let f = -41892 + 41894. Solve 5/2*t**f + 11 - 57/2*t = 0 for t.
2/5, 11
Let w be (1176/35)/8 + -5 - 56/(-20). Let g(o) be the first derivative of -1/9*o**3 - 4/3*o + 2/3*o**w - 28. Factor g(h).
-(h - 2)**2/3
Let b be ((-25 - -17) + 18)/(220/8). Let f(i) be the second derivative of 1/66*i**4 - b*i**2 + 0 + 22*i + 0*i**3. Determine w so that f(w) = 0.
-2, 2
Suppose -4*l = 16, -9*l = 5*n - 4*l + 10. Determine r so that 186*r**2 - 98*r**n - 147*r**4 + 490*r**3 - 223*r**2 + 12 - 40*r = 0.
-2/7, 2/7, 1/3, 3
Suppose -4418 + 12*r - 5152 + 11010 - 3*r**2 = 0. What is r?
-20, 24
Suppose -14*w - 155 + 631 = 27*w - 139. Factor 0 + 5/2*s**2 - w*s.
5*s*(s - 6)/2
Find f, given that -56*f**3 + 799*f**4 - 13*f**3 - 801*f**4 + 5*f**3 = 0.
-32, 0
Suppose -17*d = 9470 + 4640. Let a = -828 - d. Factor -2/5*y**4 + 0 - 8/5*y**3 - 6/5*y**a + 0*y.
-2*y**2*(y + 1)*(y + 3)/5
Suppose 0 = 2*r - 279*z + 295*z + 96, -3*r + 30 = -5*z. Suppose 0 + 0*q**2 - 2/5*q**4 + 14/5*q**3 + r*q = 0. Calculate q.
0, 7
Let z(a) = -6*a + 64. Let i be z(10). Find o such that -370*o - 10*o**i + 27*o**2 + 25*o**2 - 34*o**4 + 4*o**3 - 8 + 16*o**5 + 350*o = 0.
-1, -1/4, 1, 2
Let f be ((-88)/282744*54)/((-1)/17). Determine k so that -2/7*k**2 + 0 + 4/7*k - f*k**3 = 0.
-2, 0, 1
Let r(z) be the first derivative of -z**6/21 + 64*z**5/35 - 20*z**4 + 28*z**3 + 1305*z**2/7 - 2700*z/7 - 1756. Suppose r(w) = 0. Calculate w.
-2, 1, 3, 15
Suppose 408 = -55*z - 1887*z + 4292. Solve -2/19*i**3 + 2/19*i**z + 16/19 + 20/19*i = 0.
-2, -1, 4
Let a(y) = 0*y**2 + y**4 + y**5 - y**2 - 2*y**5 - y**2. Let b(f) = 4*f**5 - 4*f**3 + 4*f**2. Let l(k) = 4*a(k) + 2*b(k). Let l(r) = 0. Calculate r.
-2, 0, 1
Let x(p) = 19*p**2 + 841*p - 1721. Let i(v) = -13*v**2 - 595*v + 1147. Let d(o) = 7*i(o) + 5*x(o). Determine m so that d(m) = 0.
-18, 8
Let h(c) be the third derivative of -c**8/560 + c**7/525 + 31*c**6/200 + 7*c**5/75 - c**4/2 - c**2 - 2122. Find b such that h(b) = 0.
-5, -1, 0, 2/3, 6
Let n(m) = -2*m**4 - 16*m**3 - 46*m**2 + 196*m. Let s = 115 - 120. Let y(p) = 2*p**4 + 14*p**3 + 47*p**2 - 196*p. Let w(b) = s*n(b) - 4*y(b). Factor w(o).
2*o*(o - 2)*(o + 7)**2
Let x = -2761 + 2766. Let m(n) be the second derivative of 0*n**3 + 0 + 6*n + 0*n**2 + 1/6*n**4 - 3/20*n**x. Factor m(b).
-b**2*(3*b - 2)
Let z(l) be the third derivative of -l**5/510 + 47*l**4/51 + 965*l**3/51 - 155*l**2 + 20*l. Factor z(d).
-2*(d - 193)*(d + 5)/17
Suppose 7*h - 2*h - 32277 = -3*x, 3*x - 32274 = -4*h. Factor -11*b**4 - x*b**3 + b**5 + 10777*b**3 - 2 + b**5 - 20*b**2 + 11*b - 3*b**2.
(b - 2)*(b - 1)**3*(2*b - 1)
Let l(y) be the third derivative of 0*y + 121/18*y**3 - 341/72*y**4 + 17*y**2 - 29/180*y**6 - 1/1008*y**8 + 149/90*y**5 + 0 - 19/630*y**7. Factor l(j).
-(j - 1)**3*(j + 11)**2/3
Let h(c) be the second derivative of 0*c**2 - 13/55*c**6 - 2 + 27/11*c**3 + 2/231*c**7 - 17*c - 87/22*c**4 + 217/110*c**5. Let h(f) = 0. Calculate f.
0, 1/2, 1, 9
Suppose 2*v + 9 = 163. Let p = v - 76. What is o in 6*o**2 - 11 + 5*o + p - 5*o**4 + 9*o**2 - 5*o**3 = 0?
-2, -1, 1
Let y(l) be the first derivative of -15/14*l**2 + 1/14*l**6 + 3/7*l**4 - 6/7*l - 87 - 2/7*l**3 + 12/35*l**5. Suppose y(j) = 0. What is j?
-2, -1, 1
Let h be (-98)/(-21) + (-10)/15. Find i, given that 20*i**2 - h*i + 109*i - 44 + 69 = 0.
-5, -1/4
Let z(i) = i**3 - 21*i**2 + 5*i - 36. Let b be z(19). Let f be ((-42)/22 - -2) + b/(-2145). Find q such that f*q**2 + 24/5*q + 72/5 = 0.
-6
Factor -48670 - 20776 - 42110 - 1336*j - 4*j**2.
-4*(j + 167)**2
Suppose -53 = -n - 2*b - 38, -3*b = 12. Determine p so that -14*p**2 - 12*p + 5*p**3 + n*p**3 - 11*p**3 - 11*p**3 = 0.
-2/3, 0, 3
Solve 117/5*s**2 - 3/5*s**4 + 12*s + 54/5*s**3 + 0 = 0.
-1, 0, 20
Let i(l) = -3*l**2 + 2*l + 11. Let d(g) = -5*g**2 - 100*g + 790. Let u(a) = -2*d(a) + 4*i(a). Suppose u(s) = 0. What is s?
8, 96
Let g(b) be the first derivative of b**6/30 - b**5/4 - b**4/2 + 26*b - 8. Let j(s) be the first derivative of g(s). Let j(m) = 0. Calculate m.
-1, 0, 6
Let c be (-344)/(-43)*116/638. Let k = 219/22 + -171/22. Factor 2/11*z**2 + k - c*z.
2*(z - 6)*(z - 2)/11
Let u = 1006864/7304493 + 1/347833. Let i = u - -2/399. Find h, given that -i*h**3 + 3/7*h - 2/7 + 0*h**2 = 0.
-2, 1
Let q(h) = h**2 - 6*h - 9. Let f(u) = 962*u - 473*u + 56 - 6*u**2 - 452*u. Let o(z) = 6*f(z) + 39*q(z). Factor o(b).
3*(b - 5)*(b + 1)
Suppose -2*r - 62 = -4*p - 60, -2*p = -17*r + 47. Solve 2/3*g**4 + 0*g**r - 2*g**2 + 0 + 4/3*g = 0 for g.
-2, 0, 1
Suppose 9 = 5*y - 206. Suppose 9*q + 136 = y*q. Factor -1/6*b**5 - 8/3*b - 7/6*b**q - 2/3 - 25/6*b**2 - 19/6*b**3.
-(b + 1)**3*(b + 2)**2/6
Let s(h) be the third derivative of 0*h + 0*h**3 - 1/90*h**6 + 0*h**4 + 2*h**2 + 3 + 1/45*h**5. Suppose s(c) = 0. What is c?
0, 1
Factor -3*w**2 + 11 + 37*w - 360*w - 521 + 0*w**2 + 206*w.
-3*(w + 5)*(w + 34)
Factor 0*l + 0 + 1/6*l**4 + 7/2*l**3 - 15/2*l**2 - 1/6*l**5.
-l**2*(l - 3)**2*(l + 5)/6
Factor -149/5*z**2 - 116 + 584/5*z + 1/5*z**3.
(z - 145)*(z - 2)**2/5
Let g = 372745/4 - 92327. Let o = g + -854. Find h such that o*h**2 + 3/4*h**4 - 15/4*h**3 - 9/4*h + 0 = 0.
0, 1, 3
Factor -5742*x**2 - 60*x + 11453*x**2 - 55 - 5716*x**2.
-5*(x + 1)*(x + 11)
Let c = 2089303/203126 + -1/29018. Determine d so that c + 4/7*d**3 + 24/7*d**2 - 100/7*d = 0.
-9, 1, 2
Let m be (157/8 - 195/(-520))*1. Suppose 0 = -18*j + 8*j + m. Solve 2/11*u**3 + 0*u + 0 - 2/11*u**5 - 2/11*u**j + 2/11*u**4 = 0.
-1, 0, 1
Suppose 4 = d - 5*d. Let s(w) = -2*w**3 + w**2 + 3*w + 3. Let o be s(d). Find n such that -9*n**2 + o*n**4 - 3*n - 10*n**3 - n**3 + 6 + 22*n**3 - 8*n**3 = 0.
-2, -1, 1
Suppose 4*o = -0*o + d + 40, 5*d = -3*o + 7. Suppose t + o = 15. What is x in -10*x - 3 + 0*x - 2*x - t - 3*x**2 = 0?
-3, -1
Let u be -4*(-4)/33 - (22/(-363) - (-304)/(-2508)). Factor 2*w + u*w**3 - 2/3 - 2*w**2.
2*(w - 1)**3/3
Factor -160655625/2 - 399/2*s**4 + 40365/2*s**3 + 3/4*s**5 + 73324875/4*s - 937950*s**2.
3*(s - 65)**4*(s - 6)/4
Suppose 22*k - 17*k + 35 = 0. Let x be 1 + -2 - (6 + k + -2). What is g in 2*g**2 - 8*g**2 + x*g**3 + 224*g - 226*g + 6 = 0?
-1, 1, 3
Let j be (-69)/24 - -3 - (-1146)/48. Factor 44*h - 16 + j*h**2 - 10*h**2 + 8*h.
2*(h + 4)*(7*h - 2)
Let s(t) be the third derivative of t**6/1800 - t**5/75 + t**4