*r**t = 0.
-1, 2/5, 1, 3
Suppose 0 = 895*t - 902*t - 28. Let j(s) = -s**3 + s + 4. Let p(d) = -6*d**3 - 32*d**2 - 60*d - 6. Let y(c) = t*p(c) + 28*j(c). Find f such that y(f) = 0.
-1, 34
Let h(f) = -1. Let t = -20 - -23. Suppose 0 = -3*v + 6 - t. Let a(s) = -s**2 - 3*s. Let n(g) = v*a(g) + 2*h(g). Factor n(l).
-(l + 1)*(l + 2)
Let o = -396 + 396. Let u(d) be the first derivative of -10 - 1/2*d**4 - 1/5*d**5 + o*d + 0*d**3 + 0*d**2. Factor u(c).
-c**3*(c + 2)
Let p(i) = 4*i**3 - 2*i**2 + 2. Let q be p(1). Factor -135*g**2 - 2077*g + q*g**3 - 7*g**3 - 10125 + 52*g.
-3*(g + 15)**3
Let g(q) be the first derivative of 3/10*q**5 + 4 + 9/4*q**4 - 18*q**2 - 48*q + 2*q**3. Factor g(r).
3*(r - 2)*(r + 2)**2*(r + 4)/2
Let k = -69 - -71. Let u = 27 - 25. Factor 20 - k*l**u + 6*l**2 - 25*l + l**2.
5*(l - 4)*(l - 1)
Let a(q) be the third derivative of q**5/150 - 2077*q**4/60 - 2078*q**3/15 + 5781*q**2. Determine m, given that a(m) = 0.
-1, 2078
Let -428*q**2 + 62*q + q**5 - 8*q**4 + 406*q**2 + 21*q**3 - 24*q - 30*q = 0. Calculate q.
0, 1, 2, 4
Let j(q) be the first derivative of 205 + 0*q + 3/4*q**2 - 7/6*q**3. Factor j(x).
-x*(7*x - 3)/2
Let g = 614329/7 - 87759. Suppose 2/7*o**4 - 12/7*o**2 + 0*o**3 + g*o - 6/7 = 0. Calculate o.
-3, 1
Let w(u) = u**3 - u + 2. Let v(d) = 4*d**3 - 18*d**2 - 26*d + 44. Let o(p) = -v(p) + 2*w(p). Find b such that o(b) = 0.
-2, 1, 10
Let s(f) be the second derivative of f**5/90 + 4*f**4/27 - f**3/3 + 579*f. Factor s(t).
2*t*(t - 1)*(t + 9)/9
Let w(m) = 4*m**2 + 467*m + 920. Let i be w(-2). Factor 2/3*j**i - 6*j + 0.
2*j*(j - 9)/3
Solve -12633*r - 382*r**2 + 1123*r + 3675*r - 4*r**3 - 14161*r - 134*r**2 - 309260 = 0 for r.
-47, -35
Let u(y) = 4*y**2 - 4. Let g(i) = -3*i**2 - i + 2. Suppose -61*k = -48*k - 78. Let f(h) = k*u(h) + 7*g(h). Factor f(p).
(p + 1)*(3*p - 10)
Let q(t) be the second derivative of -11*t**4/3 - 28*t**3/3 + 32*t**2 + 186*t. Factor q(d).
-4*(d + 2)*(11*d - 8)
Let v(s) = 11*s**4 - 155*s**3 + 5764*s**2 + 18402*s + 12487. Let o(d) = -2*d**4 + d**2 + d - 1. Let t(f) = -10*o(f) - 2*v(f). Let t(g) = 0. Calculate g.
-2, -1, 79
Let n(f) be the third derivative of f**6/30 - 11*f**5/60 + 5*f**4/24 + f**3/3 + 15*f**2 + 18*f. Let n(j) = 0. What is j?
-1/4, 1, 2
Factor 13*m**3 + 16*m**3 + 18*m**3 - 23*m**3 - 55*m - 2 + 3*m**3 - 26*m**2.
(m - 2)*(m + 1)*(27*m + 1)
Let n(x) be the first derivative of -2*x**5/75 + 777*x**4/10 - 402486*x**3/5 + 156365811*x**2/5 + 6117. Let n(d) = 0. Calculate d.
0, 777
Let z(t) be the second derivative of 2/57*t**4 + 0 - 1/190*t**5 + 72*t + 11/57*t**3 + 6/19*t**2. Determine u, given that z(u) = 0.
-1, 6
Find q such that -216 - 66*q**2 - 2*q**4 - 55*q**2 + 38*q**2 + 288*q + 28*q**3 - 65*q**2 + 10*q**2 = 0.
2, 3, 6
Let v be 0*(-1)/(-26)*-13. Determine z so that 5*z - 1/4*z**2 + v = 0.
0, 20
Suppose -34*f = -6*f - 56. Suppose 133 + u**2 - 129 - f*u**2 = 0. What is u?
-2, 2
Let c be 10/(-70)*4 + (-232)/(-14). Suppose -15*b + c*b = 3*a, 4*b + 3*a - 15 = 0. Factor -v**2 - 4/3 - 1/6*v**b - 2*v.
-(v + 2)**3/6
Let u = -1283 - -1819. Let v = -2672/5 + u. Factor 22/5*m**2 - 4/5 - v*m**3 - 2*m.
-2*(m - 2)*(m - 1)*(4*m + 1)/5
Suppose 31*w = 25*w - 5670. Let c be 378/w*(-10)/(-6)*-1. Find l, given that 1/3*l + 1/3*l**3 + 0 + c*l**2 = 0.
-1, 0
Let j(w) = -203*w + 3. Let a be j(0). Let t(f) be the first derivative of -4/13*f**2 + 0*f + 3 + 2/39*f**a. Factor t(i).
2*i*(i - 4)/13
Let b(i) be the second derivative of 1/8*i**3 + 0 - 3/80*i**5 - 116*i - 7/16*i**4 + 21/8*i**2. Factor b(x).
-3*(x - 1)*(x + 1)*(x + 7)/4
Let i(d) be the first derivative of -d**6/15 - 186*d**5/25 - 957*d**4/5 + 23404*d**3/15 - 1617*d**2 - 43218*d/5 + 1433. Let i(o) = 0. What is o?
-49, -1, 3
Let b(v) be the second derivative of -v**4/84 + 13*v**3/14 + 440*v**2/7 + 6544*v. Factor b(s).
-(s - 55)*(s + 16)/7
Let r = -38027 + 114082/3. Let n(p) be the third derivative of 0*p - 1/240*p**5 - 48*p**2 + r*p**3 + 0 + 1/48*p**4. Factor n(u).
-(u - 4)*(u + 2)/4
Let n(z) be the second derivative of z**4/26 - 527*z**3/39 + 350*z**2/13 + 1288*z. Find o such that n(o) = 0.
2/3, 175
Find s such that -71*s**4 + 584*s**2 - 95*s - 9*s**4 + 20*s**3 - 4*s**3 + 32*s**3 + 4*s**5 - 917*s + 456 = 0.
-3, 1, 2, 19
Let v(t) be the second derivative of -1/5*t**3 - 5 - 5*t - 1/15*t**4 + 2/5*t**2 + 3/50*t**5. Solve v(b) = 0 for b.
-1, 2/3, 1
Let a be 2*(3 - 30/12). Factor a + 15*k**2 - 9*k + 24*k + 4 + 5*k**3.
5*(k + 1)**3
Suppose 15*p - 834 - 306 = 0. Let s be 2 + 7 + (-668)/p. Find g such that -2/19*g**3 - 4/19 + s*g**2 + 2/19*g = 0.
-1, 1, 2
Let i(s) be the third derivative of s**6/40 + 3*s**5/20 - 198*s**4 + 11374*s**3 - 395*s**2 - 4*s. Suppose i(l) = 0. What is l?
-47, 22
Let b = -23771 - -23790. Let f(v) be the first derivative of 0*v**2 - b + 0*v + 5/8*v**4 + 5/3*v**3. Determine x, given that f(x) = 0.
-2, 0
Let y = -226 - -2490/11. Let b = 4018 - 4013. Factor 0 - 6/11*x**3 + 0*x**2 - y*x**4 + 0*x + 2/11*x**b.
2*x**3*(x - 3)*(x + 1)/11
Let -5*t**5 + 190*t**2 + 0*t**5 + 50*t**4 + 8320*t - 160*t**3 - 8395*t = 0. Calculate t.
0, 1, 3, 5
Factor -446/5*a**2 + 7/10*a**3 + 192/5 - 103/2*a.
(a - 128)*(a + 1)*(7*a - 3)/10
Suppose 26 = -0*u - u + 4*s, -4*u + 2*s = 118. Let b be 2662/1*(-4 - 126/u). Factor 2/5*f**3 + 726/5*f - b - 66/5*f**2.
2*(f - 11)**3/5
Let h = 33588 - 33584. Find n such that 115/2*n**3 - 55/2*n**2 + 35 - 15/2*n**h - 115/2*n = 0.
-1, 2/3, 1, 7
Let n(i) be the third derivative of -11/8*i**4 + 39*i**2 - 21/2*i**3 + 9/20*i**5 - 1/40*i**6 + 0 + 0*i. Solve n(p) = 0.
-1, 3, 7
Let s(q) be the first derivative of -1/24*q**4 + 17/18*q**3 - 238 - 55/12*q**2 + 13/2*q. Suppose s(k) = 0. What is k?
1, 3, 13
Suppose -198*v - 122*v = -1280. Let m(c) be the second derivative of -11/12*c**3 + 1/2*c**2 + 25*c + 3/8*c**v + 0. Factor m(y).
(y - 1)*(9*y - 2)/2
Let u(z) be the first derivative of -z**4/18 + 2*z**3/9 - 8*z/9 - 9941. Factor u(o).
-2*(o - 2)**2*(o + 1)/9
Let h be 2/(((-102)/(-12))/17). Suppose -4*w - 5*d = -0*d - 33, -d = -h*w + 3. Determine z, given that -26/3*z**w - 49/9*z - 8/9 - z**3 = 0.
-8, -1/3
Suppose -163*i - 459 + 1483 = 93*i. Factor -6/7 - 12/7*l**2 + 16/7*l + 2/7*l**i + 0*l**3.
2*(l - 1)**3*(l + 3)/7
Let o(i) be the third derivative of -i**6/540 - 19*i**5/270 - 49*i**4/54 - 80*i**3/27 - 1275*i**2. Determine u, given that o(u) = 0.
-10, -8, -1
Let n(y) be the first derivative of 2*y**3 - 25 + y + 1/3*y**4 - 1/15*y**5 + 10/3*y**2. Let z(x) be the first derivative of n(x). Factor z(i).
-4*(i - 5)*(i + 1)**2/3
Let k(n) be the second derivative of 33 + 10/3*n**3 + 4/5*n**6 - 2*n - n**5 - 5/3*n**4 - 2*n**2. Let k(v) = 0. Calculate v.
-1, 1/3, 1/2, 1
Let s(j) be the third derivative of j**6/540 + 2*j**5/135 + j**4/108 - 2*j**3/9 - 1778*j**2. Factor s(d).
2*(d - 1)*(d + 2)*(d + 3)/9
Let l be ((-5)/(-25))/((-1)/5). Let f be (l/((-2)/14))/(2 + -1). Factor -5*o + o**2 + f*o - 5*o.
o*(o - 3)
Let i(d) be the third derivative of -d**5/30 + 13*d**4/24 - 53*d**3/6 + d**2 - 29*d. Let s(t) = -9*t**2 + 51*t - 213. Let n(r) = -21*i(r) + 5*s(r). Factor n(z).
-3*(z - 2)*(z + 8)
Suppose -4*o = -20, 5*c - 25 = -784*o + 779*o. Suppose -12*u + 15 = -7*u. Determine h, given that -2/3*h**5 + 16/9*h**u + 0 + 0*h**2 + c*h - 20/9*h**4 = 0.
-4, 0, 2/3
Let w = -516459/35 + 14756. Let g(h) be the third derivative of -3/14*h**3 + 1/28*h**4 + w*h**5 - 1/490*h**7 - 1/140*h**6 + 22*h**2 + 0*h + 0. Solve g(l) = 0.
-3, -1, 1
Let c(u) be the third derivative of u**8/168 - 4*u**7/35 + u**6/15 + 3*u**5 - 149*u**4/12 + 22*u**3 + 274*u**2 - 1. Let c(r) = 0. What is r?
-3, 1, 2, 11
Let h(z) be the third derivative of 0 - 49*z**2 + 3/8*z**6 - 109/60*z**5 + 5/3*z**4 - 2/3*z**3 + 0*z. Solve h(q) = 0.
1/5, 2/9, 2
Let u(w) = 2*w**5 + w**4 + w**2 - 2*w. Let s(h) = -2*h**5 + 59*h**4 - 200*h**3 - 721*h**2 - 608*h - 160. Let m(g) = s(g) + 6*u(g). Let m(x) = 0. Calculate x.
-8, -1, -1/2, 4
Let v(u) be the third derivative of -u**8/20160 + u**7/560 - u**6/90 + u**5/5 + 46*u**2. Let a(q) be the third derivative of v(q). Factor a(x).
-(x - 8)*(x - 1)
Let d(h) be the second derivative of 11/54*h**4 + 78*h + 1/135*h**6 + 0 + 2/9*h**3 + 1/15*h**5 + 0*h**2. Factor d(c).
2*c*(c + 1)*(c + 2)*(c + 3)/9
Suppose -88*p + 2/7*p**3 - 148/7*p**2 - 624/7 = 0. Calculate p.
-2, 78
Let d(m) be the second derivat