*u. Let d be 7 + -9 - 1*-2. Let q = d + -3. Let p(c) = q*a(c) - 2*s(c). Let p(w) = 0. Calculate w.
-2, 0
Let f(o) = o**3 + 4*o**2 - 4*o + 2. Let l be f(-5). Let k be 30/8 + l/(-12). What is t in 3*t**2 + 8*t + k*t - 3*t = 0?
-3, 0
Suppose 19 + 53 = -4*u. Let t = 21 + u. Suppose -15*v**2 + 11*v**2 + 7*v**2 + 3*v**t = 0. Calculate v.
-1, 0
Let u(g) = -6*g - 166. Let t(z) = 15*z + 414. Let i(f) = -5*t(f) - 12*u(f). Let n be i(-26). Factor 1/2*q**3 + n*q + q**2 + 0.
q**2*(q + 2)/2
Let a be 108/(-40)*37*10/4. Let q = 250 + a. Solve 3/4*k**2 + 3/4*k**3 + 1/4*k + q*k**4 + 0 = 0.
-1, 0
Let n(j) = j**2 + 66*j + 4. Let s be n(-66). Let x(d) be the first derivative of -8 + 1/12*d**3 - 1/32*d**s - d + 1/4*d**2. Let x(i) = 0. What is i?
-2, 2
Let s(i) = -2*i**5. Let o(f) = -7*f**5 + 455*f**4 - 1410*f**3 + 1650*f**2 - 815*f + 135. Let g(x) = o(x) + 4*s(x). Determine w, given that g(w) = 0.
1/3, 1, 27
Suppose -5/3*b - 8/3 - 1/6*b**2 = 0. What is b?
-8, -2
Let u(z) = -z**2 - 17*z + 41. Let x be u(-19). Factor -552*d + 564*d - x*d**2 + 0 - 12.
-3*(d - 2)**2
Let w(x) be the first derivative of -x**5 + 25*x**3/3 - 20*x + 68. Suppose w(a) = 0. Calculate a.
-2, -1, 1, 2
Factor 7/6*c**4 - 1/6*c**5 - 2/3*c + 13/6*c**2 - 5/2*c**3 + 0.
-c*(c - 4)*(c - 1)**3/6
Let q(t) = -5*t**2 + t + 20. Let n(k) = 2*k**2 - 10. Let a(u) = -7*n(u) - 4*q(u). Factor a(l).
2*(l + 1)*(3*l - 5)
Let m = 7 - 5. Suppose 0 = -3*v + 2*w + m*w + 21, -v + 15 = -4*w. Find k, given that -3*k**2 + 3 + 0*k**2 - 5*k**v + 0*k**3 + 2*k**3 + 3*k = 0.
-1, 1
Let b(o) be the second derivative of o**4/54 - 11*o**3/27 - 14*o**2/3 - 2*o - 86. Factor b(h).
2*(h - 14)*(h + 3)/9
Let f(l) be the third derivative of l**6/780 - l**5/78 - l**4/156 + 5*l**3/39 - 2*l**2 - 45*l. Find o, given that f(o) = 0.
-1, 1, 5
Suppose 2*d - 5 = b, 14*b - 10*b - 4*d + 4 = 0. Factor -6/11 + 6/11*c**2 - 2/11*c**b + 2/11*c.
-2*(c - 3)*(c - 1)*(c + 1)/11
Let v(j) be the first derivative of -2/5*j**2 + 19 - 2/15*j**3 + 0*j. Determine z so that v(z) = 0.
-2, 0
Suppose -16 = -5*d + 4*v, 9*d - 14*d = 3*v - 23. Let z(h) be the second derivative of 2*h - 3/2*h**2 + 0*h**3 + 1/16*h**d + 0. Factor z(p).
3*(p - 2)*(p + 2)/4
Let g = 581/160 + -65/32. Determine n so that -26/5*n - 7/5*n**2 + g = 0.
-4, 2/7
Let g be (-71)/2059 + 2344/696. What is m in -m**2 + g - 13/3*m = 0?
-5, 2/3
Let a = 1206 - 1201. Let j(m) be the second derivative of -1/24*m**3 + 0*m**2 - 12*m - 1/24*m**4 + 0 - 1/80*m**a. Solve j(f) = 0.
-1, 0
Let k(d) = d**4 - 2*d**3 - 2*d**2 - d. Let h(j) = -3*j**4 + 34*j**3 + 8*j**2 - 91*j - 64. Let c(z) = 2*h(z) + 2*k(z). Find o such that c(o) = 0.
-1, 2, 16
Suppose 0 = -d + 2*x - 0*x + 8, 0 = 3*x + 9. Factor -896*m**d + 4*m + 896*m**2 - 4*m**3.
-4*m*(m - 1)*(m + 1)
Suppose -3*d = -7 + 1. Let u = 2418/5 + -480. Solve u*f**3 - 34/5*f - 42/5*f**d - 6/5 = 0.
-1/3, 3
Suppose 21 = -100*i + 107*i. Let u = 16 - 31/2. Solve -a**2 + 1/2*a**i + u*a + 0 = 0 for a.
0, 1
Let c be (8/10)/((-3)/(105/(-14))). Find r such that 3413*r - 8*r**3 + 2*r**4 - 3415*r + 6*r**2 + c*r**3 = 0.
0, 1
Suppose -2*l = 2*w + 10, -12 + 35 = -3*w + 5*l. Let t be (16/168)/(w/(-14)). Suppose -t*h**3 + 0*h + 0 - 2/9*h**2 = 0. Calculate h.
-1, 0
Let d(t) = 7*t**4 - 2*t**3 - 8*t**2 - 2*t + 3. Suppose 6*s = 2*s - 20. Let c(b) = 15*b**4 - 5*b**3 - 15*b**2 - 5*b + 5. Let h(y) = s*d(y) + 2*c(y). Factor h(v).
-5*(v - 1)**2*(v + 1)**2
Let v be (32/40)/(2/(-5)). Let n be 0 + -1*(v - 1). Factor -3*j**4 - 2*j**2 - j**3 + 5*j**4 - n*j**4 + j**5 + 3*j**4.
j**2*(j - 1)*(j + 1)*(j + 2)
Let t(i) = 2*i + 35. Let l be t(-16). Factor 12*y**2 + 4*y**3 + 0*y**l - 16 - 8*y**3.
-4*(y - 2)**2*(y + 1)
Let c = -52 + 59. Let y(g) be the second derivative of 0 + 1/60*g**5 + 0*g**3 + 1/90*g**6 + 0*g**2 - 1/126*g**c - 1/36*g**4 - g. Suppose y(x) = 0. Calculate x.
-1, 0, 1
Factor 31*r**3 - r**2 - 26*r**3 + r**4 - 5*r + r - r.
r*(r - 1)*(r + 1)*(r + 5)
Let x(j) be the first derivative of -4*j**5/5 + 9*j**4/4 - 2*j**3/3 + 121. Factor x(u).
-u**2*(u - 2)*(4*u - 1)
Let j(d) be the first derivative of -d**6/18 + 2*d**5/15 + d**4/9 - 19*d + 20. Let o(n) be the first derivative of j(n). Solve o(a) = 0 for a.
-2/5, 0, 2
Let w(n) be the second derivative of n**4/12 + n**3/2 - 5*n**2 - 13*n. Let x be w(-5). Determine r, given that 0*r + x + 2/9*r**3 - 4/9*r**2 = 0.
0, 2
Let g(a) be the third derivative of -a**8/378 + 13*a**7/945 - a**6/36 + 7*a**5/270 - a**4/108 + 23*a**2 + 2*a. Factor g(o).
-2*o*(o - 1)**3*(4*o - 1)/9
Let k(j) be the first derivative of 3*j**4/32 - 5*j**3/8 + 3*j**2/8 + 3*j - 194. Factor k(y).
3*(y - 4)*(y - 2)*(y + 1)/8
Let m = -128803/15 - -8587. Solve -m*h**4 - 8/3*h - 12/5*h**2 - 16/15 - 14/15*h**3 = 0 for h.
-2, -1
Let h(i) = i**3 + 3*i**2 - 5*i - 1. Let p be h(-4). Let w(l) be the first derivative of 2*l - 2/3*l**p - 3*l**2 - 5 + 3/2*l**4. Factor w(r).
2*(r - 1)*(r + 1)*(3*r - 1)
Let b(k) be the first derivative of -k**6/3 - 6*k**5/5 - k**4/2 + 2*k**3 + 2*k**2 + 306. Find s such that b(s) = 0.
-2, -1, 0, 1
Let j be (240/96)/((-3)/((-12)/5)). What is b in -1/5*b**3 + 1/5*b + 0 + 0*b**j = 0?
-1, 0, 1
Let m = -4 - -8. Suppose -r - 6 = -5*b - 3*r, -b - m*r = -12. Find c, given that -6 + c + b*c**3 + 4*c**3 - 12*c**2 + 14*c - c**3 = 0.
1, 2
Let k(g) be the first derivative of -1/4*g**2 + 7/24*g**4 + 16 + 1/3*g - 1/6*g**3 - 1/10*g**5. Factor k(i).
-(i - 1)**3*(3*i + 2)/6
Let c be 3/((-6)/(-236))*3/(-6). Let d = c + 61. Factor 1/4*f**d - 3/4*f + 1/2.
(f - 2)*(f - 1)/4
Let 0 - 10*k + 15/2*k**2 + 5/2*k**3 = 0. What is k?
-4, 0, 1
Let x(m) be the first derivative of -m**4/16 - 16*m**3/3 - 128*m**2 + 211. Factor x(o).
-o*(o + 32)**2/4
Let v(b) be the second derivative of b**4/114 - 6*b**3/19 + 81*b**2/19 - 73*b. Suppose v(l) = 0. What is l?
9
Let m(v) = -v**4 + 10*v**2 - 11*v**2 - 2 + 3*v**3 - 4*v - v. Let o(u) = u**4 + u**2 + u. Let l(g) = 3*m(g) + 6*o(g). Let l(b) = 0. Calculate b.
-2, -1, 1
Suppose -129*o = -114*o - 45. Let j(y) be the third derivative of 0*y + 9*y**2 + 0 - 1/12*y**o + 5/96*y**4 + 1/480*y**6 - 1/60*y**5. Let j(w) = 0. What is w?
1, 2
Suppose 8 = n - 0*k + k, -2*k = -2*n. Let h = 10598 + -21193/2. Factor 1 + 1/2*t - 1/2*t**3 + 1/2*t**n - h*t**2.
(t - 2)*(t - 1)*(t + 1)**2/2
Suppose 5*b - 4 = 11. Let c = 25 + -10. Factor q**2 + 2*q + c*q**4 - 5*q + 2*q**2 + 24*q**3 - b*q.
3*q*(q + 1)**2*(5*q - 2)
Let l(b) = -b**3 + 8*b**2 - 12*b + 2. Let z be l(6). What is x in -z*x**2 - 19 - 36*x - 150 + 7 = 0?
-9
Let c(b) be the third derivative of -2*b**6/5 - 7*b**5/3 - 7*b**4/2 + 4*b**3/3 + 74*b**2. What is y in c(y) = 0?
-2, -1, 1/12
Let f(a) be the first derivative of -3/4*a**4 - a**3 + 3*a**2 + 0*a + 22. Suppose f(w) = 0. Calculate w.
-2, 0, 1
Let s = -61/318 - -19/53. Let i(m) be the second derivative of 1/12*m**4 + 0 + 0*m**2 - 7*m - 1/80*m**5 - s*m**3. Determine j, given that i(j) = 0.
0, 2
Determine d so that -4*d**3 - 14*d + 96*d - 21*d - 12*d**2 - 21*d + 0*d**2 = 0.
-5, 0, 2
Suppose 13*b - 519 = -415. Factor -14*a**2 - b*a - 8/7.
-2*(7*a + 2)**2/7
What is f in -166*f**4 - 1 - 11 + 92*f**4 + 77*f**4 + 24*f - 6*f**3 - 9*f**2 = 0?
-2, 1, 2
Suppose 20*z**4 - 42*z**3 + 112*z - 126*z + 44*z**2 - 2*z**5 - 6*z**3 = 0. Calculate z.
0, 1, 7
Find r such that 206/9*r**2 - 56/9 - 160/9*r - 14/3*r**4 + 268/9*r**3 = 0.
-1, -2/7, 2/3, 7
Let r(j) be the first derivative of -3*j**6 + j**5 + 47*j**4/4 + 28*j**3/3 + 2*j**2 + 119. Suppose r(v) = 0. What is v?
-1, -1/2, -2/9, 0, 2
Let d(m) = -m**3 + 13*m**2 + 3*m - 54. Let i be d(13). Let z be i/20 - (3 - 61/12). Solve z*o**2 + 4*o**3 + 0 + 0*o = 0.
-1/3, 0
Let m(h) be the second derivative of -h**7/21 - 4*h**6/15 + 7*h**4/3 + 17*h**3/3 + 6*h**2 + 141*h. Suppose m(j) = 0. Calculate j.
-3, -1, 2
Factor -40/7*x**2 + 12/7 - 2/7*x - 26/7*x**3.
-2*(x + 1)**2*(13*x - 6)/7
Let w(j) = -j**2 + 29*j - 97. Let h be w(25). Factor 1/2*x**h - 1/8 + 1/2*x - 1/8*x**4 - 3/4*x**2.
-(x - 1)**4/8
Suppose 3 + 0 = 3*n. Suppose 3*c + 4*t + t = 37, c - t + n = 0. Factor g**3 + 0*g**2 + 0*g**2 - g**c + 2*g**4.
g**3*(g + 1)
Let x(u) be the second derivative of -u**6/540 + u**5/135 + u**4/27 + 11*u**3/6 + 13*u. Let w(b) be the second derivative of x(b). What is s in w(s) = 0?
-2/3, 2
Let p = -363/200 + 61/25. Factor 0*w**2 - p*w**3 + 0*w + 0 - 1/8*w**5 + 3/4*w**4.
-w**3*(w - 5)*(w - 