 Let x be p(-4). Let b be x*(-5 - (-4 + -2)). Determine t so that 1/3 + t + 2/3*t**b - 2/3*t**3 - t**4 - 1/3*t**5 = 0.
-1, 1
Determine s so that -3/4*s**4 + 0*s + 0 + 9/2*s**3 + 0*s**2 = 0.
0, 6
Suppose 6138*j - 6146*j = 0. Solve 3/2*g**5 + 0*g + j*g**2 - 3*g**3 - 3/2*g**4 + 0 = 0.
-1, 0, 2
Find w such that -60 - 32*w**3 + 56*w**2 + 4*w**4 + 8*w + 7*w + 9*w + 8*w = 0.
-1, 1, 3, 5
Suppose 0 + 54/5*d**5 + 12/5*d + 222/5*d**3 - 18*d**2 - 198/5*d**4 = 0. Calculate d.
0, 1/3, 1, 2
Suppose -4*t = 3*l - 292, -7*l - 4*t = -6*l - 108. Let h = 94 - l. Determine q, given that 0*q**3 + 0*q**h + 0 + 1/4*q**4 + 0*q = 0.
0
Suppose 0*i - 4*i = 40. Let p be (66/55)/((-3)/i). Factor 4 - 4 + 2 - p*n + 9*n**3 - 2*n**4 - 5*n**3.
-2*(n - 1)**3*(n + 1)
Let j(t) be the first derivative of 7*t**6/900 - t**5/225 - 7*t**2/2 - 19. Let q(h) be the second derivative of j(h). Determine o so that q(o) = 0.
0, 2/7
Let o be (-9 + 11)*-1*4/(-12). Factor o*g + 8/15 + 2/15*g**2.
2*(g + 1)*(g + 4)/15
Let c = -5307 - -5307. Suppose 0*n + 2/5*n**3 + c - 2/5*n**2 = 0. Calculate n.
0, 1
Suppose 0 + 2/3*i**2 + 10/3*i = 0. Calculate i.
-5, 0
Let v(b) be the third derivative of -b**8/336 + 3*b**7/70 - 7*b**6/40 + 19*b**5/60 - b**4/4 - 290*b**2 + 2*b. Factor v(m).
-m*(m - 6)*(m - 1)**3
Suppose -175 = 3*x - 8*x. Factor -8*m + 10*m**5 - 10 + 19*m + 35*m**2 - 6*m - x*m**3 - 5*m**4.
5*(m - 1)**3*(m + 2)*(2*m + 1)
Let z be -5 + ((-4)/8)/(28/(-296)). Suppose -5/7*c**2 + c - z = 0. Calculate c.
2/5, 1
Let l(u) be the third derivative of -5*u**6/24 + 29*u**5/6 - 95*u**4/6 - 100*u**3/3 - 2*u**2 - 14. Let l(r) = 0. What is r?
-2/5, 2, 10
Let p(c) be the third derivative of -c**7/315 + c**6/45 + c**5/90 - c**4/9 - 3*c**2. Solve p(s) = 0.
-1, 0, 1, 4
Let h(t) be the first derivative of -3*t**8/560 - t**7/280 + t**6/40 + t**5/40 + 20*t**3/3 - 11. Let f(r) be the third derivative of h(r). Factor f(j).
-3*j*(j - 1)*(j + 1)*(3*j + 1)
Let -3/2*q**2 + 4 + 1/2*q**3 - 3*q = 0. Calculate q.
-2, 1, 4
Let i be (-8 + 13 - (-231)/(-44))/(-2*1). What is h in -i*h**2 - 1/4 + 3/8*h = 0?
1, 2
Let v(o) be the second derivative of 1/28*o**7 + 6*o + 0 - 3/4*o**2 + 1/4*o**3 - 3/20*o**5 + 1/4*o**4 - 1/20*o**6. Factor v(q).
3*(q - 1)**3*(q + 1)**2/2
Let w(x) = -5*x**2 + 32*x - 25. Let o(h) be the first derivative of 26*h**3/3 - 161*h**2/2 + 124*h - 6. Let i(u) = -2*o(u) - 11*w(u). Factor i(s).
3*(s - 9)*(s - 1)
Let f be ((-7)/(-6) - 2)*(0 - 6). Let k(a) be the second derivative of -1/5*a**2 - 1/50*a**f + 1/30*a**4 + 0 + 1/15*a**3 - a. Find p, given that k(p) = 0.
-1, 1
Factor 15/2*f - 25/4*f**2 + 0 + 5/4*f**4 - 5/2*f**3.
5*f*(f - 3)*(f - 1)*(f + 2)/4
Suppose 7*b - 5 = 30. Suppose b*k + 10 = -5*z - 10, -5*z - 20 = k. Factor 1/4*w**3 + 0*w**2 - 1/4*w**5 + 0 + 0*w**4 + k*w.
-w**3*(w - 1)*(w + 1)/4
Factor -68 + 3*m**3 - 12*m + 24 + 3*m**2 + 32.
3*(m - 2)*(m + 1)*(m + 2)
Let g be ((-3)/1 + 1)/(-1). Let m be 7 + g/((-8)/12). Factor 6*i**5 + 5*i**5 + m*i**4 - 4*i**2 + 2*i - 13*i**5.
-2*i*(i - 1)**3*(i + 1)
Let o be (0/4)/3 - 6/(-240). Let l(w) be the third derivative of 0 + 0*w**3 - 2*w**2 + o*w**6 + 0*w**5 + 0*w - 1/8*w**4. What is f in l(f) = 0?
-1, 0, 1
Let l(c) = -13*c**4 - 25*c**3 - 195*c**2 - 401*c - 248. Let u(x) = -2*x**4 - x**2 + x - 1. Let r(f) = l(f) - 6*u(f). Let r(a) = 0. What is a?
-11, -2, -1
Find p, given that 6/5*p + 2/15*p**2 + 0 = 0.
-9, 0
Let n(c) = -c**3 - 3*c**2 + 3*c. Let t be n(-4). Suppose i + 4*i = -3*h + 15, -4*i + 12 = 3*h. Factor 0*r**3 - 4*r**i - 2*r**2 + t*r - 12*r**2 + 14*r**4.
2*r*(r - 1)*(r + 1)*(7*r - 2)
Suppose 4*d - 2 = 5*t, -11 = -d + 190*t - 194*t. Factor 12/7*v**d + 8/7*v**2 + 0*v + 4/7*v**4 + 0.
4*v**2*(v + 1)*(v + 2)/7
Let a(s) = 16*s**2 + 8*s - 31. Let d(m) = -13*m**2 + m + 1. Let h(g) = -a(g) - d(g). Solve h(k) = 0 for k.
-5, 2
Let o(c) be the first derivative of 2*c**5/55 - 5*c**4/22 - 16*c**3/33 + 12*c**2/11 - 52. Let o(s) = 0. Calculate s.
-2, 0, 1, 6
Let q(i) be the second derivative of -i**7/21 - 5*i**6/6 - 59*i**5/10 - 257*i**4/12 - 41*i**3 - 36*i**2 - 700*i + 2. Let q(z) = 0. Calculate z.
-4, -3, -2, -1/2
Suppose -2*z = -28*z + 156. Let w(k) be the second derivative of -10*k - 1/10*k**z + 0 + 3*k**2 + 9/20*k**5 - 1/4*k**4 - 3/2*k**3. Factor w(o).
-3*(o - 2)*(o - 1)**2*(o + 1)
Let a(f) be the second derivative of f**5/40 + 7*f**4/12 + 25*f**3/12 + 3*f**2 + 61*f. Let a(s) = 0. Calculate s.
-12, -1
Suppose 5*v = 25, m - v + 3 = 2. Suppose 5*x = 3*t + x - m, t + x = -1. Factor 0*a**2 + 0 + 0*a + t*a**4 + 0*a**3 + 2/9*a**5.
2*a**5/9
Let o = -8 - -2. Let c(s) = -9*s + 2*s**2 + 3*s**2 - 5 + 14*s + 2*s. Let p(t) = 2*t**2 + 3*t - 2. Let v(f) = o*c(f) + 14*p(f). Factor v(r).
-2*(r - 1)*(r + 1)
Let v(m) = -15*m**2 + 8*m + 30. Suppose h = 4*g - 14, -3*g + 5*g - 12 = 3*h. Let s(z) = 5*z**2 - 3*z - 10. Let k(j) = h*v(j) - 7*s(j). What is w in k(w) = 0?
-1, 2
Suppose -2*t + 11 = 3*l, 13 = -2*l + 5*l + t. Factor -z**4 + 4*z**3 - 4*z**5 + l*z**5 + 5*z**4 - 4 - 2*z**2 + 2 - 5*z.
(z - 1)*(z + 1)**3*(z + 2)
Suppose 0 = -2*k + 3*k - 5. Let k*j**2 + 10 + j + 2*j + 12*j = 0. What is j?
-2, -1
Let p(q) be the third derivative of q**6/60 - 4*q**5/15 + q**4 + 92*q**2. Factor p(h).
2*h*(h - 6)*(h - 2)
Let b = 673/5 + -134. Find v such that -b*v + 1/5*v**2 + 2/5 = 0.
1, 2
Let l = -2562758/47635 - 1/9527. Let k = l - -54. Solve 0 - k*h**3 + 0*h**2 + 0*h = 0.
0
Suppose 2*n = 4*m - 3*n - 11, -5*m + 16 = -4*n. Let c be 3*(-4 + 3) - -5. Factor -1/2*u**c + 0*u + 1/2*u**m + 0 + 0*u**3.
u**2*(u - 1)*(u + 1)/2
Let f = -89 + 78. Let r be ((-22)/f)/(-4*6/(-8)). What is u in -r + 1/3*u**3 - 2*u - 3/2*u**2 + 1/2*u**4 = 0?
-1, -2/3, 2
Let u = -358 - -364. Let i(n) be the second derivative of 0*n**3 + 0*n**2 + 0*n**4 - 1/20*n**u + 0 + 6*n - 3/40*n**5. Find h, given that i(h) = 0.
-1, 0
Suppose 6*c - c = 25. Suppose 56*r = 41*r. Factor -2/3*g**3 + 0*g**2 - 2/3*g**c + 4/3*g**4 + r + 0*g.
-2*g**3*(g - 1)**2/3
Let v(x) be the second derivative of x**5/40 + 7*x**4/2 + 3*x - 77. Solve v(i) = 0 for i.
-84, 0
Determine l so that 4/9*l**2 + 8/9*l**3 - 2/3*l - 2/9*l**5 - 4/9*l**4 + 0 = 0.
-3, -1, 0, 1
Let l(v) = -v + 0 - 1 - 2 + 4 - v**2. Let f(x) = 15*x + 25. Suppose 2*q = o - 5*o - 4, -5*q + 1 = -o. Let g(p) = o*f(p) + 5*l(p). Factor g(n).
-5*(n + 2)**2
Suppose -5*w = -4*z - 11, -3*z = 2*w + 2*z - 11. Suppose 0 = 2*g + w - 7. Factor 36*v**3 - 10*v**2 - 15*v**4 - 3*v**g - 60*v + 66*v - 14*v**2.
-3*v*(v - 1)**2*(5*v - 2)
Let b be (-10)/6 + (-4)/(-2) + 35/21. Solve -f - f**b - 1/3 - 1/3*f**3 = 0 for f.
-1
Let x(m) be the third derivative of -m**7/1050 - m**6/60 - 2*m**5/25 - 11*m**4/60 - 7*m**3/30 - 26*m**2. Factor x(f).
-(f + 1)**3*(f + 7)/5
Factor -12*p**3 - 28*p - 5*p**2 - 80*p + 17*p**3 + 65*p**2 - 8*p**3.
-3*p*(p - 18)*(p - 2)
Solve 105 + 115 + 140*f**3 - 12*f**4 - 376*f**2 + 68 - 240*f = 0 for f.
-1, 2/3, 6
Let a be 10040/56 - (-2 + -2). Let z = a + -183. Solve -4/7 - 6/7*y - z*y**2 = 0.
-2, -1
Let l be 562/(-1405)*2/(-4). Find c such that 0 - l*c**2 - 13/5*c = 0.
-13, 0
Factor -2 + 6*v**2 + 17*v**2 + 17*v - 38*v**2.
-(v - 1)*(15*v - 2)
Let n be ((-14)/(-8) + -2)*(-10 - -9). Let p(k) be the first derivative of 0*k**3 + 4 + 2*k + 3/2*k**2 - n*k**4. Solve p(c) = 0.
-1, 2
Suppose -3*o + 5*v - 202 = 9*v, -o + 5*v = 99. Let y = 151/2 + o. Determine c so that -3/2*c**4 - c + y*c**2 + 1/2*c**5 + 1/2*c**3 + 0 = 0.
-1, 0, 1, 2
Let c = 224 - 217. Suppose 4*w + 3*b = -w + 1, c = -w - 3*b. Factor 27/7 + 1/7*x**3 + 27/7*x + 9/7*x**w.
(x + 3)**3/7
Let h = -440623/182 - -2421. Let q = h + 369/910. Solve 0*g + 1/5*g**3 + 0 - q*g**2 + 1/5*g**4 = 0 for g.
-2, 0, 1
Let d(w) = -w**5 + 13*w**4 - 103*w**3 + 301*w**2 - 451*w + 253. Let f(r) = r**4 + r**3 + r**2 + r + 1. Let y(o) = 4*d(o) + 12*f(o). What is j in y(j) = 0?
2, 4
Let x(n) be the third derivative of -n**9/20160 + n**8/3360 - n**7/1680 - 17*n**5/60 - n**4/12 + 42*n**2. Let a(u) be the third derivative of x(u). Factor a(i).
-3*i*(i - 1)**2
Let w(t) be the second derivative of t**4/60 - t**3/10 + t**2/5 + 40*t. Suppose w(u) = 0. What is u?
1, 2
Let t(n) be the first derivative of 45/2*n**4 - 16*n**3 + 17 - 27*n - 45*n**2 + 15*n**5. Factor t(l).
3*(l - 1)*(l + 1)*(5*l + 3)**2
Let n(w) = 3*w**2 + 26*w + 18. Let q(u) = -u. Let j(x) = -n(x) - 5*q(x). Find r, given that j(r) = 0.
-6, -1
Let