 q = a - 6/37. Solve -q*f**3 + 2/13*f - 4/13 + 4/13*f**2 = 0.
-1, 1, 2
Let y be -5 + (336/60)/((-2)/(-5)). Let 8 + 32*w**2 + y + 4*w**4 + 24*w - 23 - 24*w**3 - 30 = 0. Calculate w.
-1, 1, 3
Suppose 186*r = 193*r + 2044. Let w = -287 - r. Find j, given that 4/7*j**w + 0*j**3 + 0 - 16/7*j**2 + 0*j + 12/7*j**4 = 0.
-2, 0, 1
Suppose -322*g + 6 = -320*g. Factor 9747 + g*x**2 - 185*x - 59*x - 5*x - 93*x.
3*(x - 57)**2
Find t, given that -233*t + 1/6*t**2 + 162867/2 = 0.
699
Let n be ((-36)/81)/((-30)/(-27) - 24/18). Find r such that 0*r + 0 + 192/5*r**3 + 4/5*r**5 - 256/5*r**n + 12*r**4 = 0.
-8, 0, 1
Let f = -80 - -85. Suppose -f*b = -3*g - 4 + 15, -3*g - 3*b = -3. Factor -5*h**2 - 7*h**3 - 2*h + 2*h + g*h.
-h*(h + 1)*(7*h - 2)
Let s(j) be the first derivative of 0*j - 27/5*j**3 - 3/25*j**5 - 27/20*j**4 + 41 - 81/10*j**2. Factor s(k).
-3*k*(k + 3)**3/5
Factor 226*d + 118 + 44 - d**3 - 2*d**3 - 425*d - 24*d**2 + 244*d.
-3*(d - 3)*(d + 2)*(d + 9)
Let o(a) be the third derivative of -1/36*a**4 + 1/180*a**6 + 10*a**2 + 4/45*a**5 + 0*a - 8/9*a**3 + 0. Factor o(h).
2*(h - 1)*(h + 1)*(h + 8)/3
Let x(t) be the second derivative of -t**8/20160 + t**7/3780 + 53*t**4/12 - 10*t - 1. Let k(s) be the third derivative of x(s). Factor k(l).
-l**2*(l - 2)/3
Let h = -342741/20 + 68549/4. Factor -1/5*r + h*r**3 + 0*r**2 + 0.
r*(r - 1)*(r + 1)/5
Let v(j) be the second derivative of 4/3*j**3 + 1 + j + 0*j**2 - 1/5*j**5 - 1/3*j**4. Factor v(w).
-4*w*(w - 1)*(w + 2)
Let w(m) be the second derivative of m**5/20 - 3*m**4/4 - m**3/3 - 77*m**2/2 + 14*m - 2. Let o be w(10). Let 0*l**2 + 0 + 1/5*l**o - 1/5*l = 0. Calculate l.
-1, 0, 1
Let b(n) = n**3 - 6*n**2 + 9*n - 2. Let x be b(4). Let f = -1 + 2. Solve -6*w - 10*w + 20*w**x - f + 15*w = 0.
-1/5, 1/4
Let p(s) = 180*s**2 + 1644*s + 1401. Let m(q) = -36*q**2 - 328*q - 285. Let g(a) = 24*m(a) + 5*p(a). Factor g(v).
3*(2*v + 1)*(6*v + 55)
Suppose 16 = 3*n - n. Suppose 7*z - 13 = n. Factor -m**2 - 3*m - 2*m**2 + 3*m**z + 0*m**4 + 3*m**4.
3*m*(m - 1)*(m + 1)**2
Let y(j) be the second derivative of -j**7/2520 - j**6/1080 + j**5/60 - 56*j**3/3 - 8*j. Let q(h) be the second derivative of y(h). Factor q(g).
-g*(g - 2)*(g + 3)/3
Let u = -10361 - -10363. Let j(t) be the first derivative of -11 + 0*t + 35/36*t**6 + 109/30*t**5 + 0*t**u + 1/3*t**4 - 2/3*t**3. Let j(k) = 0. Calculate k.
-3, -2/5, 0, 2/7
Let q(w) be the first derivative of w**6/120 - w**5/8 - 3*w**4/4 - 31*w**3/3 - w + 66. Let r(t) be the third derivative of q(t). Find l, given that r(l) = 0.
-1, 6
Factor 582*f - 15842 - 3*f**2 - 2*f**2 - 226*f + 12*f**2 - 9*f**2.
-2*(f - 89)**2
Let d(h) be the third derivative of -h**8/8064 - 13*h**7/2016 - 11*h**5/6 + 3*h**2 - 6*h. Let m(i) be the third derivative of d(i). Factor m(o).
-5*o*(o + 13)/2
Let q(k) = 4*k + 2. Let m be q(1). Let l be 9/(-6)*m/(-3). Determine s, given that 104*s**l - 2*s - 2*s**2 - 103*s**3 + 3*s**2 = 0.
-2, 0, 1
Let n(y) = -12*y + 103. Let x be n(9). Let p be x/(-15)*(-9)/(-27). Factor 2/9*r + 1/9 + p*r**2.
(r + 1)**2/9
Let d(y) be the first derivative of y**4/8 - 13*y**3/2 + 507*y**2/4 + 214*y + 20. Let s(z) be the first derivative of d(z). Factor s(a).
3*(a - 13)**2/2
Let l(f) be the third derivative of -f**6/2340 - f**5/260 + 10*f**4/39 + 28*f**3 + 38*f**2. Let h(w) be the first derivative of l(w). Factor h(n).
-2*(n - 5)*(n + 8)/13
Let d(l) be the first derivative of -l**6/540 - l**5/45 + l**4/3 + 12*l**3 + 64. Let q(s) be the third derivative of d(s). Factor q(y).
-2*(y - 2)*(y + 6)/3
Let k be 23 + -22 - (8/(-2))/2. Factor 4*n**4 - 11*n + 654*n**2 - 706*n**2 - 13*n + 4*n**5 - 28*n**k.
4*n*(n - 3)*(n + 1)**2*(n + 2)
Let c be 1/(-1)*(-1512)/(-56). Let i be c*-1*(-8)/(-48). Determine d so that 3/2*d**4 + 3*d**2 + 6*d - i - 6*d**3 = 0.
-1, 1, 3
Let d(r) = -4*r**2 - 92*r - 234. Let h(x) = -3*x**2 - 89*x - 235. Let f(y) = -5*d(y) + 6*h(y). Determine a so that f(a) = 0.
-3, 40
Let m(r) = r**2 + 2*r + 1. Suppose 4*d + 21 = -5*a, -4*d + 9*d + 4*a + 15 = 0. Let l(s) = -s**2 - 4*s + 1. Let j(c) = d*m(c) - l(c). Solve j(b) = 0.
-3, 0
Let g(w) be the second derivative of -w**7/14 - 11*w**6/10 - 69*w**5/10 - 45*w**4/2 - 81*w**3/2 - 81*w**2/2 + 2*w + 299. Let g(c) = 0. Calculate c.
-3, -1
Let f(m) be the second derivative of m**4/6 + 23*m**3/3 + 892*m. Find x, given that f(x) = 0.
-23, 0
Let u(a) be the second derivative of a**6/135 - 263*a**5/90 + 259*a**4/9 - 3092*a**3/27 + 2056*a**2/9 - 236*a + 4. Find k such that u(k) = 0.
2, 257
Let f(r) be the third derivative of -r**7/945 - r**6/60 + r**5/27 - 781*r**2. Factor f(t).
-2*t**2*(t - 1)*(t + 10)/9
Let o(j) be the first derivative of 2*j**6/21 + 12*j**5/35 - 19*j**4/7 - 12*j**3 + 108*j**2/7 + 864*j/7 - 3251. Factor o(p).
4*(p - 4)*(p - 2)*(p + 3)**3/7
Let b(l) be the second derivative of -17/25*l**5 + l**2 + 1/21*l**7 - 95*l + 7/15*l**4 - 19/75*l**6 + 29/15*l**3 + 0. Solve b(t) = 0 for t.
-1, -1/5, 1, 5
Let k(m) be the second derivative of -1/18*m**4 - 5/9*m**3 + 0*m**2 + 33*m + 0. Let k(o) = 0. Calculate o.
-5, 0
Suppose -4 = -4*p, -15 = -3*n - p + 40. Suppose 177 = -n*c + 77*c. Factor 5/9*r**2 + 8/9*r + 1/9*r**c + 4/9.
(r + 1)*(r + 2)**2/9
Let k(c) = 7*c - 16. Let f be k(3). Find g, given that 6*g - 171*g - 210*g - 350*g**2 - f*g**5 + 60*g**3 + 30*g**4 = 0.
-3, -1, 0, 5
Let n be 658/10528 - (187/(-16) - (-5)/(-20)). Factor -n*p + 3/2*p**2 + 0.
3*p*(p - 8)/2
Let p(b) be the second derivative of 0 + b**4 - 40/3*b**3 + 7*b - 8*b**2 + 16/5*b**5 + 2/3*b**6. Find r, given that p(r) = 0.
-2, -1/5, 1
Let k(f) be the first derivative of 2*f**5/45 - 13*f**4/6 + 8*f**3/3 + 76*f**2/9 - 13070. Factor k(o).
2*o*(o - 38)*(o - 2)*(o + 1)/9
Suppose -1754*u - 16170 = -1769*u. Let w = u + -1076. Let 3/7*i**w + 12/7*i - 15/7 = 0. What is i?
-5, 1
Solve 9 + 9*v**3 + 111/4*v + 57/2*v**2 - 3/4*v**5 - 3/2*v**4 = 0.
-3, -1, 4
Let x(f) be the first derivative of -f**5/25 - 2*f**4/15 - 74*f - 61. Let g(c) be the first derivative of x(c). Find y such that g(y) = 0.
-2, 0
Let k(v) be the second derivative of -5*v**4/12 + 85*v**3/3 + 380*v**2 - 34*v - 3. Factor k(y).
-5*(y - 38)*(y + 4)
Let k = -166307 - -166311. Factor -12*p**2 - 5*p**k - 1/2*p**5 + 0 + 0*p - 14*p**3.
-p**2*(p + 2)**2*(p + 6)/2
What is q in -2/5*q - 1/5*q**5 - 1/5*q**4 + 3/5*q**3 + 0 + 1/5*q**2 = 0?
-2, -1, 0, 1
Let f(m) = 2*m - 20. Let u be f(11). Let r(t) = t**3 - t**2 - t + 1. Let w be r(u). What is q in 8*q**3 - 6*q**4 - 8 + 14*q**2 - 8*q + 15*q - w*q - 12*q = 0?
-1, -2/3, 1, 2
Let d be (776/(-152) - -5)/((-338)/9633). Factor -4*h**2 + 2/3*h**d + 32/3 + 1/3*h**4 - 8/3*h.
(h - 2)**2*(h + 2)*(h + 4)/3
What is c in 24 + 2/11*c**4 + 20/11*c**3 - 152/11*c - 38/11*c**2 = 0?
-11, -3, 2
Let c(s) = -s**2 + 63*s - 28. Let d(g) = -3*g**2 + 125*g - 37. Let l(b) = 10*c(b) - 4*d(b). Factor l(a).
2*(a - 1)*(a + 66)
Find z such that -2303 + 2083 + 5*z**2 + 0*z**2 + 215*z = 0.
-44, 1
Let p(f) be the third derivative of -f**5/150 + 691*f**4/30 - 477481*f**3/15 - 34*f**2 + 1. Factor p(w).
-2*(w - 691)**2/5
Let l be (-115)/(-92) - ((-16)/(-4) - (-609)/(-140)). Suppose 12/5*m**3 - l*m**4 - 2/5*m**5 + 8/5*m**2 + 0 - 2*m = 0. Calculate m.
-5, -1, 0, 1
Let c = 3302237/6 + -550371. Factor c*y**4 + 31/6*y**3 + 9/2*y**2 - 1/3 + 5/6*y.
(y + 1)**3*(11*y - 2)/6
Solve 168 - 37*g + 95182*g**2 + 3*g - 95184*g**2 = 0.
-21, 4
Let z be (-13)/286*3*-11*2. Let s(q) be the second derivative of -45*q + 3*q**2 + 0 - 1/10*q**5 + 1/3*q**z - 1/2*q**4. Solve s(m) = 0.
-3, -1, 1
Suppose -25 + 1 = -8*a. Factor 93 - m**5 + 3*m + 7*m**3 + 8*m**2 - m**a - 93.
-m*(m - 3)*(m + 1)**3
Let r(u) be the third derivative of -u**6/120 - 7*u**5/60 - 5*u**4/12 - 498*u**2. Let r(p) = 0. What is p?
-5, -2, 0
Factor -3*a**4 + 18*a**2 - 39*a + 18 - 6580*a**3 + 6583*a**3 + 3*a**2.
-3*(a - 2)*(a - 1)**2*(a + 3)
Suppose -2 + 4 = -2*x. Let d(z) = -10*z**3 + z**2 - 1. Let k be d(x). Determine b, given that 10*b**4 + 2 + 3 + 20*b**2 + k*b + 2*b**5 + 3 - 6 + 20*b**3 = 0.
-1
Let y(w) be the second derivative of 3*w**5/80 + 11*w**4/16 - 1501*w**3/8 + 53067*w**2/8 + 445*w - 6. Suppose y(g) = 0. Calculate g.
-49, 19
Let h(k) = 8*k + 0*k + 257*k**2 - 258*k**2. Let n be h(7). Solve -2 - 5 + n*l + l - 2*l**2 - 1 = 0 for l.
2
Factor -3*f**3 - 1709265 + 3*f**4 + 1709265.
3*f**3*(f - 1)
Let r be (-1)/