 = 0. Calculate w.
-2/7, 0, 1
Let w(x) be the first derivative of -x**3/12 - 41*x**2/8 + 21*x/2 + 1041. Let w(o) = 0. What is o?
-42, 1
Factor -141*s + 79*s**3 + 124*s**3 - 180*s**3 - 9*s**2 + 22*s**3 + 3*s**4 - 90.
3*(s - 2)*(s + 1)**2*(s + 15)
Factor 174*t - 628 - 34*t**2 + 75*t**2 - 39*t**2 - 61*t + 197*t.
2*(t - 2)*(t + 157)
Let g(y) be the first derivative of y**3 - 6*y**2 + 12*y - 560. Suppose g(c) = 0. What is c?
2
Determine v so that v**2 + 0*v**2 + 57*v + 0 + 40 - 36*v + 50 = 0.
-15, -6
Let n(y) = 20*y**4 - 57*y**3 + 51*y**2 - 18*y. Let w(b) = 51*b**2 - 58*b**3 + 3 - 18*b - 34*b**4 - 3 + 53*b**4 + b**5. Let f(m) = -5*n(m) + 4*w(m). Factor f(s).
s*(s - 2)*(s - 1)*(2*s - 3)**2
Factor -1029/4*l - 1/2*l**2 + 515/4.
-(l + 515)*(2*l - 1)/4
Determine h, given that 60*h**3 - 48 - 12*h**2 + 28*h + 27*h - 59*h**3 - 11*h = 0.
2, 4, 6
Let i = 29246/3 + -19497/2. Factor 49/2*d**2 - 7/2*d - 343/6*d**3 + i.
-(7*d - 1)**3/6
Let l(h) = -h + 1. Let i(p) be the first derivative of p**3/3 - p**2 - 11*p - 92. Let y(s) = -i(s) - 4*l(s). Suppose y(g) = 0. Calculate g.
-1, 7
Let x(d) be the first derivative of -d**3/6 - 69*d**2/4 - 34*d + 2458. What is q in x(q) = 0?
-68, -1
Let o = 525 - 2485. Let i = 1963 + o. Find l, given that 8/11*l**2 + 10/11*l + 2/11*l**i + 4/11 = 0.
-2, -1
Let y(z) be the third derivative of -z**9/453600 + z**8/37800 - z**7/12600 + z**5/20 + z**4/3 - 79*z**2. Let q(j) be the third derivative of y(j). Factor q(m).
-2*m*(m - 3)*(m - 1)/15
Suppose h + 2 = 2*h. Let -2559*k**h - 3*k**3 - 49 - 96*k - 35 + 2526*k**2 = 0. Calculate k.
-7, -2
Let b(l) be the first derivative of -179 - 3/8*l**2 + 1/8*l**3 - 45/8*l. Solve b(q) = 0.
-3, 5
Suppose 0 = 3*p - 9, -4*p + 2*p = -2*m + 2. Solve 16*l - 39 - m*l**3 - 11*l**2 + 5*l**2 + 2*l**4 + 31 = 0 for l.
-2, 1, 2
Determine r so that -26/3*r**4 - 2626/9*r**2 - 478/3*r**3 + 0 + 2/9*r**5 - 424/3*r = 0.
-12, -1, 0, 53
Let l(b) be the first derivative of b**5/10 - 13*b**4/8 - 26*b**3/3 + 16*b**2 + 1019. Factor l(n).
n*(n - 16)*(n - 1)*(n + 4)/2
Let f(c) be the first derivative of -6*c**4 + 3*c**3 + 97 + 7*c**4 + 4*c**2 + c**3 + 58 + 0*c**2. Factor f(a).
4*a*(a + 1)*(a + 2)
Let l = -3951 + 3954. Let p(m) be the first derivative of 0*m**2 - 1/3*m**l + m + 13. Factor p(a).
-(a - 1)*(a + 1)
Let r be 255/(-40) + (-24)/(-64). Let n be (-3 - (0 + r)) + 1. Suppose 0 + 1/2*x**3 + 0*x**2 + 1/4*x**5 + 3/4*x**n + 0*x = 0. Calculate x.
-2, -1, 0
Factor -49*g**2 + 46*g**2 + 9*g**2 - 448*g - 10*g**2.
-4*g*(g + 112)
Let m = 1467 - 1466. Let h be 702/(-102) + (2 - m - -6). Determine y so that -16/17 - 12/17*y - h*y**2 = 0.
-4, -2
Let d(x) be the first derivative of -x**4/16 + 3*x**3/2 + 61*x**2/8 + 21*x/2 - 527. Let d(w) = 0. Calculate w.
-2, -1, 21
Let w be ((21030/8580 - (-9)/39) + (-3 - 0))*-12. Factor -2/11*s**2 + 4 + w*s.
-2*(s - 22)*(s + 1)/11
Let y(q) be the first derivative of 4*q**7/1995 + q**6/228 + q**5/570 - 28*q**2 - 20. Let b(s) be the second derivative of y(s). Factor b(t).
2*t**2*(t + 1)*(4*t + 1)/19
Let r(p) be the first derivative of -8*p + 10 - 4/3*p**3 + 7*p**2 - 1/2*p**4. Let o(a) = a**3 - 1. Let i(f) = 12*o(f) - r(f). Determine b, given that i(b) = 0.
-1, -2/7, 1
Suppose 5*p + 75 = 4*c, -3*c + 15 = -2*c - 5*p. Factor 2*r**2 + c*r + 0*r**4 + 10*r - 9 - 4*r**3 - 18*r - r**4.
-(r - 1)**2*(r + 3)**2
Let t(i) = -5*i + 25. Let p be t(5). Determine u so that p*u**2 + 602*u - 618*u + 12 + 4*u**2 = 0.
1, 3
Factor -6*f**2 - 6*f**2 - 56 - 106*f + 127*f + 6*f**2 - 109*f.
-2*(f + 14)*(3*f + 2)
Let m(c) be the third derivative of 0 - 1/70*c**7 + c**2 - 6*c + 1/20*c**5 + 0*c**3 - 1/224*c**8 + 1/16*c**4 + 0*c**6. Factor m(x).
-3*x*(x - 1)*(x + 1)**3/2
Suppose -l - 4*o - 8 + 7 = 0, 4 = 2*l + 2*o. Let v(h) be the second derivative of 0 + 3*h**2 + 11/2*h**4 + 15/2*h**l - 9/4*h**5 - 19*h. Factor v(f).
-3*(f - 2)*(3*f + 1)*(5*f + 1)
Solve 564340/3*o**2 - 392/3*o**5 - 28588/3*o**4 - 505712/3*o**3 + 21904/3 - 195952/3*o = 0.
-37, 2/7, 1/2
Let a(j) = -6*j - 13. Let d be a(-26). Factor 65676*s + d - 45 - 65648*s + 2*s**2.
2*(s + 7)**2
Let l(j) = -568*j - 90309. Let p be l(-159). Factor 2/5*a**2 + 1/5*a - 2/5 - 1/5*a**p.
-(a - 2)*(a - 1)*(a + 1)/5
Factor -24*s - 13/2*s**3 + 288 - 46*s**2 - 1/4*s**4.
-(s - 2)*(s + 4)*(s + 12)**2/4
Let y(n) be the second derivative of -81*n - 145/12*n**4 + 1/4*n**5 + 0*n**3 + 0 + 0*n**2. Let y(h) = 0. Calculate h.
0, 29
Determine k, given that 5302*k**3 - 90*k**5 + 356*k**5 + 2450 - 92*k**5 - 77*k**5 - 598*k**4 - 72*k**5 - 20572*k**2 + 28945*k = 0.
-2/25, 5, 7
Let a(p) be the second derivative of p**5 + 17*p**4 - 244*p**3/3 - 336*p**2 - p - 4496. Factor a(r).
4*(r + 1)*(r + 12)*(5*r - 14)
Let z be ((-42)/15)/((-16)/40). Factor 0*k**4 + 0*k**4 + 0*k**4 - z*k**2 + k**4 - 6*k**3.
k**2*(k - 7)*(k + 1)
Factor 987/4*x**2 + 1983/4 - 5943/8*x + 3/8*x**3.
3*(x - 2)*(x - 1)*(x + 661)/8
Let a = 280346 - 2523112/9. Solve -a*m**4 - 4 - 2*m**3 - 58/9*m**2 - 26/3*m = 0.
-3, -2, -1
Let k be (-1 + 7 + 0)*5. Let b be 6/(-18) - k/(-9). Let -3*z**5 + 11*z**2 + 3*z**3 - b*z**4 - 8*z**2 + 0*z**5 = 0. What is z?
-1, 0, 1
Let c(b) be the second derivative of -b**6/10 - 27*b**5/20 - b**4 + 18*b**3 + 48*b**2 + 7*b + 19. Solve c(a) = 0 for a.
-8, -2, -1, 2
Determine w so that 6/11*w**3 - 11562/11*w**2 + 5575776/11 + 5564208/11*w = 0.
-1, 964
Factor 312/5*n - 8112/5 - 3/5*n**2.
-3*(n - 52)**2/5
Let n be (-1)/(-18)*(-8 + (-43 + 7)/(-4)). Let f(g) be the first derivative of -19 + 5/12*g**2 - 2/3*g - n*g**3. Factor f(s).
-(s - 4)*(s - 1)/6
Let b(f) be the first derivative of -f**7/2520 + f**6/135 - 13*f**5/360 + f**4/12 + 22*f**3 - 64. Let q(m) be the third derivative of b(m). Factor q(w).
-(w - 6)*(w - 1)**2/3
Let p(l) = -17*l - 43. Let z(i) = -9*i - 22. Let u(c) = 4*p(c) - 7*z(c). Let t be u(-4). Factor 0*k**2 - 20*k + 11*k**2 - 8*k**2 + 7*k**t + 5*k**3 - 40.
5*(k - 2)*(k + 2)**2
Let q = 5484 - 54839/10. Let s(r) be the second derivative of 3/100*r**5 - 24*r - 9/10*r**2 + 0 - q*r**3 + 3/20*r**4. Factor s(t).
3*(t - 1)*(t + 1)*(t + 3)/5
Let s(c) be the second derivative of 3*c**5/140 + 19*c**4/2 + 8710*c**3/7 - 53868*c**2/7 + 157*c + 2. Find n, given that s(n) = 0.
-134, 2
Determine u, given that -3 - 2*u - 7*u + 20*u**3 + 16*u**2 + 27*u - 25*u = 0.
-1, -3/10, 1/2
Let t be (7 + 34/(-6))*9. Let h be t/102 + (-8)/68. Factor h*y + 3/4*y**2 + 9/4*y**3 + 3/4*y**5 + 0 + 9/4*y**4.
3*y**2*(y + 1)**3/4
Suppose -21 = -2*x - 4*g - 1, 5*x - 5*g = 5. Suppose -2*l = 3*l + 5*b - 35, b = x*l - 3. Factor 1/2*t**3 - 1/4*t**4 - 1/4*t**l + 0*t + 0.
-t**2*(t - 1)**2/4
Let b = 29 + -37. Let x be b + (1620/99 - 8). Determine z, given that x - 8/11*z**4 - 30/11*z**3 - 32/11*z**2 - 6/11*z = 0.
-2, -1, 1/4
Suppose 12*a - 48 = 4*t, -4*a + 3*t - 9 + 35 = 0. Solve -2/9*s - 22/9*s**a + 20/9 = 0.
-1, 10/11
Let m(b) be the second derivative of -1/48*b**4 + 0 + 152*b - 1/8*b**3 + 0*b**2. Factor m(u).
-u*(u + 3)/4
Let m(t) be the third derivative of t**7/665 - t**6/114 + 5*t**5/228 - 17*t**4/4 + 8*t**2 - 4. Let p(x) be the second derivative of m(x). Factor p(n).
2*(6*n - 5)**2/19
Factor 34342 - 6080*t + 21315 - 2*t**3 - 2*t**3 - 10857 + 272*t**2.
-4*(t - 28)*(t - 20)**2
Let x(m) be the second derivative of 5*m**2 - 1/10*m**5 + 1/3*m**3 - 5/6*m**4 + 0 - 72*m. Factor x(k).
-2*(k - 1)*(k + 1)*(k + 5)
Solve 37 - 1/2*j**2 + 73/2*j = 0.
-1, 74
What is t in -2*t**2 + 19 + 66*t + 79 - 30*t + 60*t = 0?
-1, 49
Let t = 179/3 - 59. Let m be 64/(-24) - (-93)/31. Factor t*c - m*c**2 - 1/3.
-(c - 1)**2/3
What is f in 77017125/2 + 2655/2*f**2 - 3/2*f**3 - 783225/2*f = 0?
295
Let v = -43 + 47. Let c be 1*(0/(-3) - -3). Factor a**3 + a**c - 2*a**4 - 3*a**3 + 3*a**v.
a**3*(a - 1)
Let h be (-2)/(-3) + 2/(-12). Suppose 5*n - 18*n + 16*n + 30*n = 0. Factor n*w + h*w**3 + 0*w**2 + w**5 + 0 - 3/2*w**4.
w**3*(w - 1)*(2*w - 1)/2
Suppose -12 = -10*g + 368. Suppose g*l - 32*l - 12 = 0. Let -2/15*j**3 + 0 - 2/5*j**l + 0*j = 0. What is j?
-3, 0
Let u = 235155 + -1175731/5. Let u*x**2 + 0 - 8*x - 4/5*x**3 = 0. Calculate x.
0, 1, 10
Let q(w) be the second derivative of 2*w**4 - 16*w**2 - 2/15*w**6 - 1/5*w**5 - 5 + 6*w + 8/3*w**3. Factor q(b).
-4*(b - 2)*(b - 1)*(b + 2)**2
Let d = -147595/2 - -73798. Factor 1/2*c**3 + 0*c**2 - d*c + 0.
c*(c - 1)*(c + 1)/2
Let a(v) be the first derivat