t l = -200 + 234. Factor 32*d + 16 + 4*d**2 - 3*d**2 - 19 + l.
(d + 1)*(d + 31)
Let j(h) = -h**2 + 2*h + 2. Let u(f) = -5*f**2 - 15*f - 580. Let o(r) = -10*j(r) + u(r). Factor o(l).
5*(l - 15)*(l + 8)
Let l(g) be the first derivative of 11*g**5/5 + 35*g**4/3 + 56*g**3/3 + 8*g**2 - 69*g - 69. Let o(b) be the first derivative of l(b). Factor o(j).
4*(j + 1)*(j + 2)*(11*j + 2)
Suppose -3*o + 9*o + 258 = 135*o. Factor 51/5*i + 18/5 + 12/5*i**3 - 81/5*i**o.
3*(i - 6)*(i - 1)*(4*i + 1)/5
Let w be 3/(((-3)/(-16))/((-1)/(-2))). Determine o, given that 62 - w + 2*o**2 + 18 - 76*o + 2*o**2 = 0.
1, 18
Let s(n) be the second derivative of -n**5/5 + 4*n**4/3 + 73*n + 6. Solve s(l) = 0 for l.
0, 4
Let t(n) be the third derivative of 4*n**2 + 0 + 0*n + 0*n**3 - 1/20*n**5 - 1/2*n**4. Factor t(c).
-3*c*(c + 4)
Let w(n) be the second derivative of n**5/110 + 139*n**4/33 - 1124*n**3/33 + 1128*n**2/11 + 43*n - 36. Factor w(i).
2*(i - 2)**2*(i + 282)/11
Suppose 0 = -4*v + 2*d + 26, -186*v + 173*v - 65 = 5*d. Factor -245/3*w**2 + 5/3*w**5 - 95/3*w**4 + v + 80/3*w + 85*w**3.
5*w*(w - 16)*(w - 1)**3/3
Let h(x) = -x**2 - 2*x + 1. Let u(r) = -3*r**3 - 86*r**2 - 22*r + 11. Let q(g) = -11*h(g) + u(g). Factor q(i).
-3*i**2*(i + 25)
Let y(x) be the second derivative of 1 + 12/11*x**2 + 103/66*x**4 + 12*x - 144/55*x**5 + 27/55*x**6 + 92/33*x**3. Determine n, given that y(n) = 0.
-2/9, 1, 3
Factor -18*j**2 + 81*j**2 + 3*j**4 - 21*j - 18*j**2 - 27*j**3.
3*j*(j - 7)*(j - 1)**2
Let x(h) be the first derivative of h**5 - 15*h**4/4 - 10*h**3 + 20*h**2 + 2790. Factor x(j).
5*j*(j - 4)*(j - 1)*(j + 2)
Let z = 307 + -310. Let c be 20/5 + z + (-4)/(-32). Factor -3/8*j**4 + c*j**2 - 3/4*j + 0*j**3 + 0.
-3*j*(j - 1)**2*(j + 2)/8
Let x(r) = r**2 - 33*r + 247. Let f be x(11). Let b(s) = -4*s**3 + s**2. Let v be b(-1). Factor 4*w**v - 6*w**2 - 4*w - 4*w**f + 6*w**4 + w + 3*w**5.
3*w*(w - 1)*(w + 1)**3
Let v(a) be the third derivative of a**6/30 + 4*a**5 - a**4/6 - 40*a**3 - 950*a**2. Let v(x) = 0. What is x?
-60, -1, 1
Let g(l) = 24*l**2 + 34*l - 22. Let q be g(-2). Let s(k) be the first derivative of k**4 + 40*k**2 + 64*k - q + 32/3*k**3. Factor s(w).
4*(w + 2)**2*(w + 4)
Let w = 609676/5 + -121935. Find o such that -3/5 - w*o**3 + o - 1/5*o**2 = 0.
-3, 1
Find g such that -2*g**2 + 0 - 7/3*g + 1/3*g**3 = 0.
-1, 0, 7
Let b(d) = -d**2 + 19*d + 25*d + 81 - 26*d + 29*d + 71. Let g be b(50). Solve 0 - 8/5*s**3 + 8/5*s - 28/5*s**4 + 28/5*s**g = 0 for s.
-1, -2/7, 0, 1
Factor -30*l + 88/3*l**2 + 2/3*l**3 + 0.
2*l*(l - 1)*(l + 45)/3
Let m be 1218/(-18) - (104 - 173). Factor 176/3*n + m*n**3 + 60*n**2 + 0.
4*n*(n + 1)*(n + 44)/3
Let i = 21/5792 + 92273/110048. Factor -i*w + 0 + 4/19*w**3 + 2/19*w**4 - 8/19*w**2.
2*w*(w - 2)*(w + 2)**2/19
Let i(z) be the third derivative of -3*z**3 + 8*z**2 + 7/40*z**5 - 5 + 25/16*z**4 + 0*z. Find c such that i(c) = 0.
-4, 3/7
Let j(n) = -2*n**2 - 36*n - 90. Let c be j(-27). Let z = c + 579. Factor 1/3*l**3 + l - z + 5/3*l**2.
(l - 1)*(l + 3)**2/3
Let g = -16 - -19. Let z be (-2)/(25 + (-26 - 0)). Suppose -4/7*n**g + 2*n**4 - 10/7*n**5 + 0 + 0*n**z + 0*n = 0. What is n?
0, 2/5, 1
Let o(c) = -2*c**2 - 2. Let m(z) = z**3 + 142*z**2 + 12. Let y(u) = -m(u) - 6*o(u). Factor y(q).
-q**2*(q + 130)
Suppose 8*a + 143 = 175. Suppose -4*x**5 - 13*x**4 - 28*x**a + 8*x**3 - 4*x - 16*x**2 + 8 + 49*x**4 = 0. What is x?
-1, 1, 2
Let l = 1206 + -1199. Let p(j) be the third derivative of 25/24*j**4 + 5/3*j**3 - 1/24*j**6 + 13*j**2 + 0*j - 1/42*j**l + 1/4*j**5 + 0. Solve p(f) = 0 for f.
-1, 2
Let f = -1056333/7 + 150969. Suppose -22/7*c**2 + 72/7*c**4 - 780/7*c + f + 312/7*c**3 = 0. What is c?
-3, 5/6
Factor -463 - 321*p + 300 + 2244*p**2 - 1073 - 2247*p**2.
-3*(p + 4)*(p + 103)
Let s be (2/(-5))/(3660/(-305) - (2254/(-27))/7). Let g = -1 - -4. Factor -s*c**3 + 0*c + 6/5*c**2 + 0 - g*c**4.
-3*c**2*(c + 2)*(5*c - 1)/5
Let g(l) be the second derivative of -54/5*l**2 - 3/10*l**5 + 12 - 6*l**3 - 1/50*l**6 - 2*l - 37/20*l**4. Let g(w) = 0. Calculate w.
-3, -2
Let v(w) be the third derivative of 17/9*w**3 + 1/180*w**5 - 19/72*w**4 + 4 + 7*w**2 + 0*w. Factor v(j).
(j - 17)*(j - 2)/3
Let g(x) = -12*x**2 + 3285*x - 5712. Let s be g(272). Factor -1/3*c**4 + 1/6*c**5 - 1/6*c**3 + 1/3*c**2 + 0 + s*c.
c**2*(c - 2)*(c - 1)*(c + 1)/6
Factor 0 - 2/13*u**5 + 14/13*u**4 + 36/13*u**3 + 0*u + 0*u**2.
-2*u**3*(u - 9)*(u + 2)/13
Suppose 0 = -2*s + 6*s - 592. Find k, given that 17*k**2 - 12*k**5 + 2 - 155*k**4 + 21*k**4 + 54*k**5 + 2*k - 77*k**2 + s*k**3 = 0.
-1/7, 1/3, 1
Let l(s) = 7*s**2 - 26*s + 24. Let q be l(3). Let v be q/(-7)*11/(-33). Factor 0 - v*m - 1/7*m**2.
-m*(m + 3)/7
Let c(u) be the first derivative of 21 + u**3 - 18*u - 3/2*u**2. Factor c(p).
3*(p - 3)*(p + 2)
Find u such that -10589202/17 - 2/17*u**2 + 9204/17*u = 0.
2301
Suppose 0 = -3*q + y + 7, 37*y = -5*q + 39*y + 12. Determine r, given that 16/9*r**q + 14/9*r + 2/9*r**3 + 0 = 0.
-7, -1, 0
Suppose -5*v + 15 = 0, 754*f - 5*v - 18 = 751*f. Factor -f + 1/2*b**2 + 21/2*b.
(b - 1)*(b + 22)/2
Suppose 2*z + 292 = -h + 1223, -2797 = -3*h - 2*z. Suppose -943*k + 20 = -h*k. Factor 1/7*j**5 + 0 + 15/7*j**3 + 0*j - 9/7*j**k - j**4.
j**2*(j - 3)**2*(j - 1)/7
Let n = 9452/385 + -326/11. Let l = -30/7 - n. Find t, given that -2/5*t**5 - 8/5*t**4 + 4/5 + 2*t + l*t**2 - 8/5*t**3 = 0.
-2, -1, 1
Let b(h) be the second derivative of 0*h**4 + 16*h + 13*h**2 - 1/420*h**5 + 1/42*h**3 + 0. Let a(p) be the first derivative of b(p). Factor a(u).
-(u - 1)*(u + 1)/7
Let y be ((0 - 4) + 204/48)/(12/24). Factor y*a**5 - 1/2*a**2 + 3/2*a**3 + 0 - 3/2*a**4 + 0*a.
a**2*(a - 1)**3/2
Factor -2556*o**2 - 173 - 12*o - 48132*o**3 - 7499*o**3 + 173 - 80476*o**3.
-3*o*(213*o + 2)**2
Suppose 0 = -h - 3*k + 76164, 2*h + 4*k - 83082 = 69254. Factor -640*f**2 - 3*f**3 - h*f + 207*f**2 - 290*f**2 - 2336064 - 105*f**2.
-3*(f + 92)**3
Let x(p) be the third derivative of -p**7/84 + p**6/4 - 11*p**5/8 + 5*p**4/24 + 20*p**3 - 28*p**2 + 21*p. Solve x(u) = 0.
-1, 2, 3, 8
Suppose 0 = 15*c - 19*c - 20. Let x be c*((-12)/(-5))/(-3). Factor 3*n**x + 0*n**2 + n**5 - 4*n**5 + 3*n**2 - 6*n**2 + 3*n**3.
-3*n**2*(n - 1)**2*(n + 1)
Let c(i) be the first derivative of 5*i**4/4 - 47*i**3/3 - 16*i**2 + 20*i + 1509. Factor c(r).
(r - 10)*(r + 1)*(5*r - 2)
Let l(a) be the third derivative of 0 - 58*a**2 - 6/35*a**7 + 0*a - 19/15*a**5 - 11/10*a**6 - 1/2*a**4 + 0*a**3. Factor l(h).
-4*h*(h + 3)*(3*h + 1)**2
Let i(w) be the third derivative of 16/33*w**3 + 0 - 1/22*w**4 - 1/660*w**6 + 0*w - 3/110*w**5 - 95*w**2. Find h such that i(h) = 0.
-8, -2, 1
Let d(g) = -2*g**3 - 50*g**2 + 107*g + 1. Let p be d(-27). Find u such that 4/3*u**2 + 0 + p*u = 0.
-21, 0
Suppose 2 = 5*b - 2*x, -4*b - 4*x + 25 = 1. Let t be ((-1)/4 - (-117)/884)*-4. Determine i so that -2/17*i**b - 8/17 + t*i = 0.
2
Let x = 39443 + -39433. Let l(n) be the first derivative of x*n**3 + 27*n**6 - 24*n**2 - 414/5*n**5 + 36 + 139/2*n**4 - 8*n. Solve l(i) = 0 for i.
-2/9, 1
Let m(o) be the first derivative of 3/8*o**4 - 3/4*o**2 - 76 + 1/2*o**3 - 3/2*o. Factor m(t).
3*(t - 1)*(t + 1)**2/2
Let i = 16029 - 16027. Let o(w) be the second derivative of 0*w**4 + 0 + 0*w**i + 5/6*w**3 - 23*w - 1/4*w**5. Factor o(v).
-5*v*(v - 1)*(v + 1)
Let w = -56 + 97. Let q(n) = 3*n + 17. Let j be q(2). Factor 6*f + w*f**3 - 21*f**3 - 3*f**2 - j*f**3.
-3*f*(f - 1)*(f + 2)
Suppose -o + 0 + 1 = 0, -4*c + 10 = -2*o. Let k(g) be the first derivative of 21 + 0*g + 1/4*g**2 - 1/6*g**c. Suppose k(v) = 0. Calculate v.
0, 1
Let l be (-66)/8*97/(81480/(-896)). Suppose -4*b**3 + l*b - 16/5*b**2 - 8/5 = 0. What is b?
-2, 1/5, 1
Let k be (-3)/27*(-364 + 130). Let z(v) be the third derivative of 0*v**3 + 0 + 0*v + 25/12*v**4 - k*v**2 + 1/12*v**5. Factor z(y).
5*y*(y + 10)
Let y(o) be the third derivative of o**7/105 - 277*o**6/240 + 733*o**5/20 + 288*o**4 + 648*o**3 + 3960*o**2. Determine l, given that y(l) = 0.
-2, -3/4, 36
Let j(b) be the first derivative of -5/9*b**4 + 130 - 4/9*b**2 + 2/3*b - 34/27*b**3. Factor j(y).
-2*(y + 1)**2*(10*y - 3)/9
Factor 0 + 2/11*i**2 - 850/11*i.
2*i*(i - 425)/11
Let d(n) = -8*n**3 + 28*n**2 + 108*n + 88. Let m(u) = 3*u**3 - 9*u**2 - 36*u - 32. Let o(h) = -4*d(h) - 11*m(h). Determine k so that o(k) = 0.
-9, -4, 0
Suppose -36*z + 32*z = -8. 