65 + -57. Let u be (a + (-204)/30)/((-2)/(-5)). Factor -3 + 2*r - 1 + u - r**2.
-(r - 1)**2
Let u(s) = -7*s**3 - 9*s + 6. Let x be (-2)/(-21) + 642/(-126). Let w(h) = -h**3 - h**2 + 1. Let a(t) = x*u(t) + 30*w(t). Factor a(p).
5*p*(p - 3)**2
Let n(r) be the third derivative of 9*r**8/784 + 53*r**7/490 + 15*r**6/56 - 9*r**5/140 + 431*r**2. Factor n(l).
3*l**2*(l + 3)**2*(9*l - 1)/7
Suppose 6756/5*d + 208 - 26/5*d**2 = 0. What is d?
-2/13, 260
Find b, given that -38/3*b**2 - 168 + 2/3*b**3 + 80*b = 0.
6, 7
Let s(z) be the second derivative of 5*z**7/42 + 41*z**6/24 + 47*z**5/8 + 35*z**4/16 - 276*z + 3. Solve s(m) = 0 for m.
-7, -3, -1/4, 0
Let g be (-17)/((-374)/(-44))*6/(-4). Let t(r) = -r**3 + r + 3. Let f be t(0). Factor 3*q**2 + g*q**3 + 0*q**f + q - 3 - 4*q.
3*(q - 1)*(q + 1)**2
Let x(q) be the first derivative of q**8/10920 + q**7/1092 + 7*q**6/2340 + q**5/260 - q**3/3 + 24*q - 83. Let g(l) be the third derivative of x(l). Factor g(p).
2*p*(p + 1)**2*(p + 3)/13
Let c(j) be the first derivative of -112/33*j**3 + 120 + 32/11*j**2 + 0*j + 1/33*j**6 + 18/11*j**4 - 4/11*j**5. Determine v so that c(v) = 0.
0, 2, 4
Let d be -292 + 288 - (0 + -9). Let a(z) be the third derivative of 1/50*z**d + 1/300*z**6 + 0*z**4 + 0*z**3 + z + 0 - 18*z**2. Factor a(s).
2*s**2*(s + 3)/5
Suppose -4272 = 327*l - 333*l. Let h = l + -710. Let -10/7*o - 12/7 + 2/7*o**h = 0. What is o?
-1, 6
Let o = 210206/5 + -42038. Factor 92/5*z + 22/5*z**2 + o.
2*(z + 4)*(11*z + 2)/5
Let n be ((-10)/11)/((-81)/297) - (3 - 0). Let k(a) be the first derivative of 19 + a + 0*a**2 - n*a**3. Find j, given that k(j) = 0.
-1, 1
Let j(v) be the first derivative of 5*v**3/3 + 10*v**2 - 17*v + 163. Let c(y) = y**2 + 2*y - 1. Let l(d) = -4*c(d) + j(d). Find a, given that l(a) = 0.
-13, 1
Let g(p) = -33*p - 687. Let b be g(-21). Let a be (-9 + (-315)/(-30))/(b/16). Factor -10*m**3 + 5/2*m**2 + 0 + 5/2*m**a + 15*m.
5*m*(m - 3)*(m - 2)*(m + 1)/2
Suppose r = -3*q + 6*q - 10, 4*q = 5*r + 17. Let a be 5/15 - ((-12)/9 - r). Determine s so that 0 + 2/3*s**2 + a*s = 0.
-1, 0
Let a(r) be the second derivative of r + 2/5*r**5 + 1/21*r**7 - 36 + 8/3*r**4 - 1/3*r**6 + 16*r**2 - 32/3*r**3. What is x in a(x) = 0?
-2, 1, 2
Let y = -19 - -21. Let z**2 - z + 3*z + 13*z**y + 2*z + 18*z**3 + 2*z**5 + 10*z**4 = 0. Calculate z.
-2, -1, 0
Determine x, given that 12597*x - 5519 + 198024*x**3 - 200526*x**3 - 9619 - 3538*x + 9646*x - 1236*x**2 + 174*x**4 - 3*x**5 = 0.
-3, 1, 2, 29
Let z(l) be the third derivative of l**8/1512 + 122*l**7/945 + 47*l**6/108 - 101*l**5/45 - 20*l**4/3 - 125*l**2. Determine b, given that z(b) = 0.
-120, -3, -1, 0, 2
Let j(r) = -12*r**2 - 52*r - 72. Suppose 92*a = 87*a + 40. Let m(l) = -8*l**2 - 35*l - 48. Let d(g) = a*m(g) - 5*j(g). Factor d(x).
-4*(x + 2)*(x + 3)
Let a(n) = -4*n**5 - 12*n**4 + 15*n**3 + 97*n**2 + 5*n - 1. Let p(t) = -2*t**5 - 2*t**4 - t**3 + t**2 + 5*t - 1. Let h(v) = -a(v) + p(v). Factor h(o).
2*o**2*(o - 3)*(o + 4)**2
Let l(x) be the third derivative of -149/60*x**5 - 1/48*x**8 + 11/70*x**7 + 6*x**3 + 1/40*x**6 + 0 + 7/2*x**4 + 0*x - x**2. Solve l(v) = 0.
-2, -2/7, 1, 3
Let r(m) be the first derivative of 3*m**5/7 - 27*m**4/14 - 13*m**3/7 + 27*m**2/7 + 24*m/7 + 1888. Find c such that r(c) = 0.
-1, -2/5, 1, 4
Suppose -30*h + 29*h + 7 = 0. Let n(y) = -2*y + 17. Let o be n(h). Factor 48 - 49 + 3*m + m**2 - o*m.
(m - 1)*(m + 1)
Factor -561*c**3 - 2*c**2 + 564*c**3 + 0 + 5 - 8 + 9*c - 7*c**2.
3*(c - 1)**3
Suppose -2*w + 5 = -135*m + 134*m, -w = 5*m - 19. Factor w*z - 1/4*z**2 + 17/4.
-(z - 17)*(z + 1)/4
Suppose 11 = 14*b - 13*b. Factor -87*s + 153*s + 41*s**2 - s**5 + 0*s**5 - 108*s + 32*s**3 + b*s**3 - 41*s**4.
-s*(s - 1)**2*(s + 1)*(s + 42)
Let l be -3*(-87)/(-54) - -4 - 221/(-78). Factor 2/9*o**l + 22/9 + 8/3*o.
2*(o + 1)*(o + 11)/9
Let u(s) be the first derivative of -64*s**5/5 + 68*s**3/3 - 4*s + 9690. Suppose u(v) = 0. Calculate v.
-1, -1/4, 1/4, 1
Let f be 1*(18 - -3)/(-7) - -107. Let p = f - 104. Factor 4/7*h**2 - 6/7*h**3 + 0*h + 2/7*h**4 + p.
2*h**2*(h - 2)*(h - 1)/7
Let s = -12 - -15. Factor 2*t**4 + 48*t**2 + 6*t**3 - 6*t**3 - 44*t**2 - 6*t**s.
2*t**2*(t - 2)*(t - 1)
Let m(h) = -h**3 - 36*h**2 - 101*h - 66. Let t be m(-33). Suppose -26*d = -10 - 68. Factor 0 + 0*r + 3/2*r**4 + 15/2*r**d + t*r**2.
3*r**3*(r + 5)/2
Let d = -126069 + 126069. What is a in d - 1/5*a**3 - 1/5*a + 2/5*a**2 = 0?
0, 1
Let q(a) be the third derivative of 23/6*a**3 + 7/60*a**5 + 5/6*a**4 - 45*a**2 + 1/180*a**6 + 0 + 0*a. Let n(p) be the first derivative of q(p). Factor n(l).
2*(l + 2)*(l + 5)
Let t(j) be the second derivative of -j**4/3 + 104*j**3/3 + 216*j**2 + 2*j - 389. Find c, given that t(c) = 0.
-2, 54
Let s(b) be the first derivative of -b**4/30 - 22*b**3/45 - 31*b**2/15 - 14*b/5 - 308. Solve s(a) = 0.
-7, -3, -1
Let u(a) be the third derivative of -7/40*a**5 + 0 + 0*a + 5/2*a**3 + 82*a**2 - 33/16*a**4. Solve u(m) = 0.
-5, 2/7
Suppose -192 - 7552/3*r - 2064*r**3 - 92/3*r**5 - 1388/3*r**4 - 11200/3*r**2 = 0. Calculate r.
-9, -2, -2/23
Let z be (0/(-154))/(-3 - -7). Let b(q) be the first derivative of 0*q**2 + 1/44*q**4 + z*q - 1/55*q**5 + 0*q**3 - 28. Solve b(y) = 0 for y.
0, 1
Let a(i) be the first derivative of 2*i + 1/5*i**5 - 1/24*i**6 - 1/16*i**4 - 5/6*i**3 + 1/2*i**2 - 115. Factor a(d).
-(d - 2)**3*(d + 1)**2/4
Let p(u) = u - 10. Let n be p(11). Let k = 62 - n. Factor 6*g**3 - 121*g**2 + 2*g**5 + k*g**2 + 62*g**2 + 6*g**4.
2*g**2*(g + 1)**3
Let g = -103 + 106. Suppose -64*n - 22*n**3 + 40*n**2 + 76*n**3 - 31*n**g - 27*n**3 = 0. Calculate n.
0, 2, 8
Let i = 306 - 304. Suppose -i*s + 26 = 11*s. Factor 0*h**s + 2*h**4 + 0*h - 2/5*h**5 - 8/5*h**3 + 0.
-2*h**3*(h - 4)*(h - 1)/5
Let p(k) be the first derivative of k**4/18 + 98*k**3/27 + 184*k**2/9 + 40*k + 808. Determine r so that p(r) = 0.
-45, -2
Let k(t) be the first derivative of -t**3/33 - 26*t**2/11 + 348*t/11 + 2380. Determine v, given that k(v) = 0.
-58, 6
Let v be (33/9)/(517/5499*13). Find p, given that 0*p + 0*p**2 + 0 + 1/2*p**4 + 1/2*p**5 - p**v = 0.
-2, 0, 1
Factor -x**4 + 117649*x + 256*x**3 - 1518*x**2 - 1492*x**2 - 109*x**3 - 4193*x**2.
-x*(x - 49)**3
Let g(f) = -6*f**2 - 192*f + 230. Let h(y) = -31*y**2 - 1002*y + 1149. Let t(k) = -11*g(k) + 2*h(k). Suppose t(z) = 0. What is z?
-29, 2
Let k(q) = -23*q**3 + 54*q**2 - 87*q - 148. Let a(x) = 5*x**3 + 1. Let i(v) = -4*a(v) - k(v). Factor i(l).
3*(l - 16)*(l - 3)*(l + 1)
Let s(z) be the third derivative of -3/8*z**4 - 6*z**2 + 1/40*z**5 - 14 + 0*z + 2*z**3. What is q in s(q) = 0?
2, 4
Suppose -6*t + 33 = -159. Find d, given that t*d**5 - 55*d**5 - 56*d**2 - 48*d**3 + 52*d + 56*d**4 + 19*d**5 = 0.
-1, 0, 1, 13
Let x be (48/22)/((282/(-376))/((-40)/32)). Let -26/11*r + x*r**2 - 12/11 + 6/11*r**5 + 20/11*r**3 - 28/11*r**4 = 0. Calculate r.
-1, -1/3, 1, 2, 3
Suppose 0 = 2*c - 15*f + 18*f - 13, c + 4*f - 14 = 0. Determine s so that s**3 + 6*s**3 + 7*s**3 + 27*s - 37*s**c - 74*s**2 - 2*s**3 = 0.
0, 1/4, 9
Let w be (3 - 4 - -239) + (-1 - 2). Let t = w + -467/2. Factor t*d + 21/4*d**2 + 9/4*d**3 + 0.
3*d*(d + 2)*(3*d + 1)/4
Factor 2/21*c**2 + 0 - 674/21*c.
2*c*(c - 337)/21
Factor 491875 - 2*z**2 + 16*z - 2*z**2 - 491747.
-4*(z - 8)*(z + 4)
Let o be (-610)/70 + (5/7 - 1). Let c be (-1)/o*(-2475)/(-75). Determine z so that -2/3*z + 4/3*z**4 + c*z**2 + 0 - 13/3*z**3 = 0.
0, 1/4, 1, 2
Let p(x) be the first derivative of -x**5/5 + 5*x**4/4 + 4*x**3 - 18*x**2 + 39. Factor p(w).
-w*(w - 6)*(w - 2)*(w + 3)
Let i(u) = -4*u + 27. Let l be 340/50 + (96/(-20))/6. Let q be i(l). Factor 4/3*o**2 + 0*o + 2/9*o**q - 2/9*o**4 + 0.
-2*o**2*(o - 3)*(o + 2)/9
Let s(g) be the third derivative of -g**6/240 - 17*g**5/60 - 41*g**4/16 - 15*g**3/2 + 1854*g**2. Factor s(d).
-(d + 1)*(d + 3)*(d + 30)/2
Let o(j) be the third derivative of j**8/168 - 3*j**7/35 + 7*j**6/30 + 17*j**5/15 - 5*j**4/4 - 25*j**3/3 + 20*j**2 - 4*j. Find l such that o(l) = 0.
-1, 1, 5
Let t = -707 + 699. Let u be 0*((7 - -2) + t). Factor 0 + u*l**2 + 2/5*l - 2/5*l**3.
-2*l*(l - 1)*(l + 1)/5
Find c such that -412/3*c - 1/6*c**3 + 370/3 + 85/6*c**2 = 0.
1, 10, 74
Suppose 15*k - 337 = -112. Let -23*p**4 - k*p**4 + 122*p + 28 + 7*p**2 + 8*p**5 - 130*p**3 + 3*p**2 = 0. Calculate p.
-2, -1, -1/4, 1, 7
Let l(t) = t**2 - 2*t + 3. Let g(f)