at is o?
-6, 1
Let l(d) be the third derivative of d**6/600 + 107*d**5/300 - 217*d**4/120 + 109*d**3/30 + 493*d**2. Factor l(i).
(i - 1)**2*(i + 109)/5
Suppose -12*g + 54 = -210. Let o(q) = 2*q**4 + 10*q**3 + 38*q**2 + 19*q + 11. Let a(u) = -2*u**2 - u - 1. Let y(m) = g*a(m) + 2*o(m). What is l in y(l) = 0?
-2, -1, 0
Let t = 1701308/11 + -154649. Find h, given that -108/11*h**3 - 390/11*h**4 - 8/11*h**2 - t*h**5 + 0 + 0*h = 0.
-2, -2/13, 0
Suppose 6686*u - 176 = 6682*u. Let a(h) be the first derivative of 45/2*h**2 + u - 7*h**3 + 3/4*h**4 - 27*h. Determine q so that a(q) = 0.
1, 3
Let f(u) = 1625*u + 30877. Let m be f(-19). Factor 14/5 + 12/5*r - 2/5*r**m.
-2*(r - 7)*(r + 1)/5
Let w(o) be the second derivative of -o**6/6 - 97*o**5/4 - 4155*o**4/4 - 34075*o**3/6 - 11045*o**2 + 156*o - 9. Find u, given that w(u) = 0.
-47, -2, -1
Suppose -y + 2760 = 29*s - 24*s, y + 546 = s. Let g be s/(-57) + -6 + 17. Factor g - 10/3*l - 2/3*l**3 + 8/3*l**2.
-2*(l - 2)*(l - 1)**2/3
Suppose 4*k = 3*l + 22, 0 = -3*k + l - 1 + 15. Let x = 5/12179 + 12129/121790. Factor -2/5*v**3 + x + 3/5*v**2 - 2/5*v + 1/10*v**k.
(v - 1)**4/10
Let l(r) be the second derivative of -r**5/50 - 151*r**4/15 - 4736*r**3/3 - 131424*r**2/5 - 13674*r. Factor l(f).
-2*(f + 6)*(f + 148)**2/5
Let l = -143790 - -287623/2. Factor 10 + l*a**2 + 34*a - 5/2*a**3.
-(a - 10)*(a + 1)*(5*a + 2)/2
Let i(o) be the third derivative of -o**5/120 - 87*o**4/8 - 22707*o**3/4 - 159*o**2 + 2*o. Factor i(p).
-(p + 261)**2/2
Suppose d - 280 - 10 = 0. Determine q so that -4*q**3 + 284*q**2 + q**3 - d*q**2 = 0.
-2, 0
Let o(d) be the first derivative of -d**3/3 - 16*d**2 - 135*d - 396. Factor o(x).
-(x + 5)*(x + 27)
Let n(s) be the second derivative of s**5/10 - 29*s**4/3 - 61*s**3/3 + 118*s**2 + 11*s - 28. Factor n(m).
2*(m - 59)*(m - 1)*(m + 2)
Let a be 13*(-689)/1183 + 8. Factor -3 + 39/7*k - 15/7*k**2 - a*k**3.
-3*(k - 1)**2*(k + 7)/7
Suppose 0*l + 0*l**2 + 0 + 8/11*l**3 + 10/11*l**5 - 24/11*l**4 = 0. What is l?
0, 2/5, 2
Let 288/5*c - 118/5*c**4 - 648/5*c**2 + 0 + 92*c**3 + 7/5*c**5 = 0. What is c?
0, 6/7, 2, 12
Suppose 385 = 903*h + 103 - 1524. Suppose p - 3/2*p**h + 0 + 1/2*p**3 = 0. What is p?
0, 1, 2
Let h(k) be the second derivative of -1/24*k**4 + 1/2*k**3 + 0 - k**2 + 52*k + 1/120*k**6 - 3/80*k**5. Factor h(g).
(g - 2)**2*(g - 1)*(g + 2)/4
Let l(k) = -k**3 - 4*k**2 + 6*k + 12. Let g be l(-5). Suppose 0 = g*x - x - 12. Factor 16*t - 48 - 4/3*t**x.
-4*(t - 6)**2/3
Let x = 2076 + -6226/3. Let n(o) be the first derivative of -3 - 1/12*o**4 - x*o**2 + 0*o + 5/9*o**3. Determine l so that n(l) = 0.
0, 1, 4
Suppose -23*i + 19*i + 12 = 0. Find b such that -7*b**2 - 2 - 9*b + 17*b + 17*b - 5*b**3 - i*b**2 + 32 = 0.
-3, -1, 2
What is w in -745*w**2 - 3405/2*w - 15/2*w**3 - 485 = 0?
-97, -2, -1/3
Let z = 180/10781 - -9881/53905. Determine n, given that 6/5*n**2 + 0 + z*n**4 - n**3 + 0*n = 0.
0, 2, 3
Let z(d) be the second derivative of -27 + 22*d**2 + 1/6*d**4 - 13/3*d**3 - 2*d. Factor z(i).
2*(i - 11)*(i - 2)
Factor 10 - 12*t**2 + 64*t - 58 - 4*t**3 + 30*t**3 - 30*t**3.
-4*(t - 2)*(t - 1)*(t + 6)
Let k(l) be the first derivative of 11*l**4/2 + 20*l**3/3 - 24*l**2 - 2922. Find v, given that k(v) = 0.
-2, 0, 12/11
Let v(q) be the first derivative of -39*q + 96*q**2 + 76*q**3 - 76 + 39*q**2 - 69*q**3. Factor v(g).
3*(g + 13)*(7*g - 1)
Let o(j) be the third derivative of -j**5/20 + 219*j**4/32 - 81*j**3/4 - 4641*j**2. Solve o(c) = 0 for c.
3/4, 54
Let h(r) be the third derivative of 0*r**7 + 0*r**5 + 1/1176*r**8 - 1/420*r**6 + 44*r**2 + 0*r + 0 + 0*r**3 + 0*r**4. Factor h(m).
2*m**3*(m - 1)*(m + 1)/7
Let s(t) = 7*t**2 - 93*t. Let r(q) = -24*q - 60*q - 19*q + 7*q + 8*q**2. Let o(m) = -4*r(m) + 5*s(m). Factor o(g).
3*g*(g - 27)
Let q = -5277 + 21111/4. Let p(i) be the first derivative of -54*i + 14 - 8*i**3 - 63/2*i**2 - q*i**4. Determine y so that p(y) = 0.
-3, -2
Let s be 598 + (50/70)/(2/14). Let -b**4 + 431*b**3 - s*b**3 - 3007581 - 11094*b**2 - 411220 - 318028*b = 0. Calculate b.
-43
Solve 32/5 - 32/5*i**2 - 22/5*i**3 + 6/5*i**4 + 88/5*i = 0 for i.
-2, -1/3, 2, 4
Let t be 42/(-105)*780/(-117). Let -16/3*z**3 + t + 4/3*z**5 + 4*z - 8/3*z**2 + 0*z**4 = 0. What is z?
-1, 1, 2
Let d(c) = -9*c**4 - 109*c**3 + 551*c**2 - 755*c + 306. Let u(p) = -12*p**4 - 145*p**3 + 734*p**2 - 1007*p + 408. Let x(r) = -11*d(r) + 8*u(r). Factor x(o).
3*(o - 2)*(o - 1)**2*(o + 17)
Let a(d) = -64962*d**3 - 147330*d**2 - 36153*d - 2319. Let b(n) = 8120*n**3 + 18416*n**2 + 4519*n + 290. Let g(s) = 4*a(s) + 33*b(s). Factor g(y).
3*(y + 2)*(52*y + 7)**2
Let w = -81 - -85. Factor 2*u**w + 5*u**4 - 26*u + u**4 + 48*u**2 + 7 - 3 - 34*u**3.
2*(u - 2)*(u - 1)**2*(4*u - 1)
Let y be (-320)/1152 + (-295)/(-1062). Factor -2/21*q - 2/21*q**2 + 2/21*q**4 + y + 2/21*q**3.
2*q*(q - 1)*(q + 1)**2/21
Let l be 0 - (-4)/2 - (1 + -29). Let s be 29/15 - 10/l. Suppose 32/5*x**2 - 8/5*x**4 + 8/5*x**3 - 4/5*x**5 + s + 28/5*x = 0. Calculate x.
-1, 2
Let b(z) be the third derivative of -z**7/210 - 23*z**6/15 - 2879*z**5/20 - 7553*z**4/12 + 33124*z**3/3 - 8992*z**2. Determine y so that b(y) = 0.
-91, -4, 2
Let n(o) = -2*o**3 + 96*o**2 + 198*o. Let r(p) = -3*p**2. Let v(u) = n(u) + 12*r(u). Factor v(t).
-2*t*(t - 33)*(t + 3)
Let q be 7/(-9)*3168/(-9240). Determine p, given that -q*p + 2/5*p**3 + 2/15*p**2 + 0 = 0.
-1, 0, 2/3
Let n(d) = -2*d**3 - 3*d**2 - 34. Let p(l) = -4 + 6 - 3 - 4. Let o(z) = 5*n(z) - 35*p(z). Factor o(b).
-5*(b + 1)**2*(2*b - 1)
Let a(v) be the first derivative of -1/5*v**6 - 3/2*v**4 + 0*v**2 + 29 + 4/5*v**3 + 0*v + 24/25*v**5. Factor a(p).
-6*p**2*(p - 2)*(p - 1)**2/5
Let u(l) be the third derivative of -l**8/6720 - l**7/105 + 17*l**6/240 + 5*l**5/6 + 17*l**2. Let d(k) be the third derivative of u(k). Factor d(p).
-3*(p - 1)*(p + 17)
Let y(m) be the second derivative of -m**4/20 - 52*m**3/5 - 909*m**2/10 + 2*m + 191. Factor y(a).
-3*(a + 3)*(a + 101)/5
Let i(b) be the third derivative of b**6/180 + 43*b**5/90 + 74*b**4/9 + 560*b**3/9 - 156*b**2 - 2*b. Solve i(d) = 0.
-35, -4
Let w(f) be the first derivative of -3*f**5/20 + 25*f**4/16 + 63*f**3/2 - 18*f**2 - 64*f + 5955. Suppose w(q) = 0. What is q?
-8, -2/3, 1, 16
Suppose -14 = -8*s + 10. Factor -52*x**2 - 69*x**2 + 14*x**3 - 30 + 36*x**s - 9*x**2 - 25*x**2 + 125*x.
5*(x - 2)*(2*x - 1)*(5*x - 3)
Let w(l) = 2*l**3 + 311*l**2 - 1776*l - 802. Let n be w(-161). Factor 0*v + 3/5*v**n + 156/5*v**2 + 0.
3*v**2*(v + 52)/5
Factor -42525/4 + 3/4*w**3 + 7965/4*w - 291/4*w**2.
3*(w - 45)**2*(w - 7)/4
Let q(a) = -3*a**2 - 29*a. Let z = -268 + 270. Let r(w) = -w**2 + 2*w. Let i(s) = z*r(s) + q(s). Factor i(m).
-5*m*(m + 5)
Let k = 253 + -247. Factor d**3 - k*d**3 + 112 + 5*d + 20*d**2 - 132.
-5*(d - 4)*(d - 1)*(d + 1)
Let k = -180 - -184. Solve 158*p**4 - 5*p**2 - 153*p**4 + 4 - k = 0.
-1, 0, 1
Suppose -13*n + 6 = -11*n - 2*a, 4*n - 5*a - 11 = 0. Suppose 16 - 39 = -p - 5*d, 4*p = -n*d + 28. Factor -2/5*r**p + 6/5 + 2*r**2 - 14/5*r.
-2*(r - 3)*(r - 1)**2/5
Let z(a) be the first derivative of 144 - 1/5*a**3 + 4/5*a + 0*a**2 - 1/20*a**4. Solve z(s) = 0 for s.
-2, 1
Find s, given that 0*s**2 - 12/13 + 2/13*s**3 - 14/13*s = 0.
-2, -1, 3
Let f(j) be the third derivative of 7*j**5/90 - 1139*j**4/36 - 326*j**3/9 + 2223*j**2. Find k such that f(k) = 0.
-2/7, 163
Let l(u) = -u - 7. Let h be l(-10). Suppose 12*v + 21*v**4 + 7*v**2 - 36*v**h + 27*v - 3*v + 12 - 40*v**2 = 0. Calculate v.
-1, -2/7, 1, 2
Suppose -99*p = 69*p - 358*p + 101*p. Factor p - 1/7*o**2 + 12/7*o - 1/7*o**3.
-o*(o - 3)*(o + 4)/7
Let z = -44011 + 44011. Factor 8/3*j - j**3 + z + 10/3*j**2.
-j*(j - 4)*(3*j + 2)/3
Let p(x) = -70*x**2 - 280*x - 210. Let n = -156 + 162. Let d(f) = -5*f**2 - 20*f - 15. Let z(r) = n*p(r) - 85*d(r). Determine m, given that z(m) = 0.
-3, -1
Let c(a) be the second derivative of a**6/120 - 29*a**5/40 + 841*a**4/48 - 13*a + 39. Determine y so that c(y) = 0.
0, 29
Let z(f) be the third derivative of -5*f**5/12 + 230*f**4/3 + 370*f**3/3 - 3097*f**2. Factor z(x).
-5*(x - 74)*(5*x + 2)
Factor 0 - 48*p**2 + 2/7*p**3 - 2088/7*p.
2*p*(p - 174)*(p + 6)/7
Factor -344/17 + 2/17*n**3 - 76/17*n**2 - 422/17*n.
2*(n - 43)*(n + 1)*(n + 4)/17
Let v(w) be the first derivative of 2*w**3/3 - 428*w**2 + 91592*w + 759. Factor v(r).
2*(r - 214)**2