603*q - 189. Let n(u) = 9*i(u) + 7*m(u). Factor n(w).
-3*(w + 15)*(10*w + 1)**2
Let d(a) be the first derivative of -a**6/120 + a**5/5 - 3*a**4/2 - a**3/3 - 7*a**2/2 + 60. Let x(n) be the third derivative of d(n). Factor x(h).
-3*(h - 6)*(h - 2)
Determine q so that 793*q**2 - 3*q**3 - 925*q**2 + 0*q**3 + 6912 + 0*q**3 - 1152*q = 0.
-24, 4
Let v be (-22236)/(-3213) - 1*4/(-18). Suppose -2/7*d**2 + 52/7*d - v = 0. Calculate d.
1, 25
Let a(g) = g**3 + 2*g**2 - 4*g - 1. Let k be a(-3). Let l be 3 + (-4)/k - (0 + -2). Factor -z**l - 5*z**3 + 11*z - z - 2*z - 2*z**4.
-2*z*(z - 1)*(z + 2)**2
Let v(c) be the second derivative of c**5/100 + 11*c**4/30 + 37*c**3/10 + 9*c**2 + 1226*c + 2. Find d, given that v(d) = 0.
-15, -6, -1
Let q = -4503 - -7627. Determine x, given that -58 + 18 - 12*x - 3120*x**2 + q*x**2 = 0.
-2, 5
Let d be 12/(-1) + 0 - (60 - 66). Let g(p) = -16*p**2 + 27*p - 32. Let m(u) = -14*u**2 + 28*u - 32. Let i(y) = d*g(y) + 7*m(y). Factor i(l).
-2*(l - 16)*(l - 1)
Let l(d) be the third derivative of d**5/60 + 13*d**4/12 - 1127*d**3/6 + 9346*d**2. What is i in l(i) = 0?
-49, 23
Suppose -a - 26*v + 27*v + 4 = 0, 21*a - v = 44. Determine l so that -40/3 + 122/3*l - 2*l**a = 0.
1/3, 20
Let i = 145 + -136. Factor i*o + 2*o**2 - 9*o**2 + 6*o**2 + 5*o + o.
-o*(o - 15)
Let i(z) = 2*z**2 - 5*z - 6. Let o(p) = -p**2 + 2*p + 3. Let x(s) = -6*i(s) - 13*o(s). Let m be x(-5). Find c, given that 26*c**2 + 5*c - 33*c**m - 3*c = 0.
0, 2/7
Factor -14*u + 31*u**3 + 51478*u**2 + 28*u**3 - 51437*u**2 + 4*u**4.
u*(u + 1)*(u + 14)*(4*u - 1)
Let k(x) = -2*x**3 - 12*x**2. Let c(h) = 5*h**3 + 91*h**2 - 78*h - 72. Let b(r) = c(r) + 4*k(r). Factor b(z).
-(z - 12)*(z - 3)*(3*z + 2)
Let q(i) be the first derivative of 1/27*i**3 - 1/540*i**6 + 1/90*i**5 - 1/36*i**4 + 0*i + 10*i**2 - 2. Let b(n) be the second derivative of q(n). Factor b(t).
-2*(t - 1)**3/9
Let a(v) be the first derivative of v**5/20 - 21*v**4/16 + 13*v**3 - 62*v**2 + 144*v - 173. Solve a(b) = 0.
4, 9
Let m(n) be the first derivative of -33*n**4/8 + n**3/4 + 9*n**2/4 - 169. Factor m(s).
-3*s*(2*s + 1)*(11*s - 6)/4
Determine c so that -21*c + 968*c - 3*c**2 - 410*c - 81*c + 924 = 0.
-2, 154
Solve -10/7*i**4 + 42*i**3 - 116/7*i**2 + 0 + 0*i = 0.
0, 2/5, 29
Let j be (-19)/(-228)*(4 - (-8 - -7)). Let b(m) be the second derivative of 0*m**5 - 24*m - 1/6*m**6 + 0 + j*m**4 + 0*m**3 + 0*m**2. Let b(x) = 0. Calculate x.
-1, 0, 1
Let j(o) be the third derivative of 0 - 2/35*o**7 + o**3 + 0*o + 130*o**2 + 3/5*o**5 - 11/8*o**4 + 1/40*o**6. Determine l so that j(l) = 0.
-2, 1/4, 1
Suppose 98739*d - 98794*d = 0. Solve -2/5*k + d - 8/15*k**2 - 2/15*k**3 = 0.
-3, -1, 0
Let w(r) = -22*r**2 - 63*r + 65. Let f(m) = -10*m**2 - 37*m + 33. Let h(u) = -7*f(u) + 3*w(u). Let h(t) = 0. What is t?
-18, 1/2
Suppose -3 - 128 + 1619 = 496*i. Suppose -i*y + 3*y**3 + 3/8*y**2 - 3/8*y**4 + 0 = 0. What is y?
-1, 0, 1, 8
Let n be (-12)/27*(-45)/10 + (-5)/3. Let j(p) be the second derivative of 0 + 1/2*p**5 - 5/3*p**3 - 2*p + n*p**4 - 2*p**2. Factor j(t).
2*(t - 1)*(t + 1)*(5*t + 2)
Let g be 5 + (24/56 - 34/14). Let j be 0/(3*(-5)/15). Let 2/3*z + j - z**2 + 1/3*z**g = 0. Calculate z.
0, 1, 2
Let j(q) be the first derivative of -1/14*q**6 + 1/7*q**3 - 12/7*q**2 - 3/35*q**5 + 12/7*q + 15/28*q**4 + 110. Solve j(g) = 0.
-2, 1
Let g(b) be the third derivative of -b**6/40 - 2*b**5/5 - 19*b**4/8 - 6*b**3 - 678*b**2. Factor g(j).
-3*(j + 1)*(j + 3)*(j + 4)
Let n(a) = 10*a**3 + 16*a**2 + 36*a - 162. Let r(l) = -l**3 + l. Suppose 4*m = -i - 72, -13*m - i - 36 = -11*m. Let c(j) = m*r(j) - 2*n(j). Factor c(u).
-2*(u - 2)*(u + 9)**2
Let k(p) be the third derivative of -p**6/24 + 5*p**5/12 + 3*p**2 + 70. Factor k(l).
-5*l**2*(l - 5)
Let a(h) = -6*h + 14. Let l be a(13). Let o be 2/(-8) - 336/l. Find s, given that 13*s**2 - 8 - 1 + s + o*s - 10*s**2 = 0.
-3, 1
Suppose -1356 = -48*k + 708. Let j be ((-8)/(k + -3))/(-1). Find n such that 0*n**2 + 1/5*n**5 + j*n + 0 - 2/5*n**3 + 0*n**4 = 0.
-1, 0, 1
Let a = 74 - 68. Suppose 11 = 3*c + h, -36 = -4*c + a*h - 2*h. Solve -c*t + 4*t**5 + 10*t**3 + t**5 - 4*t**5 - 6*t**5 = 0.
-1, 0, 1
Find y, given that 28*y**3 + 141*y + 15*y**4 + 374*y**2 - 36*y**4 + 19*y**4 + 552 + 755*y = 0.
-6, -2, -1, 23
Let b be ((-40)/(-50)*(-1)/(14/(-10)))/(5024/13188). Factor 9 + b*k - 1/2*k**2.
-(k - 6)*(k + 3)/2
Let m(j) be the second derivative of -j**6/60 - j**5/80 + 7*j**4/24 - 5*j**3/24 - 3*j**2/4 - 2411*j. Let m(h) = 0. What is h?
-3, -1/2, 1, 2
Suppose -x + b + 4 = -4, -3*x - 2*b = -4. Suppose -x*c = -5*c + 6. Factor 3*d**2 + 15*d**3 - 6*d**2 + c*d**2 + 9*d**4 - 3*d.
3*d*(d + 1)**2*(3*d - 1)
Let z(v) be the first derivative of v**4/3 + 118*v**3/27 + 140*v**2/9 - 50*v/9 - 757. Factor z(j).
2*(j + 5)**2*(6*j - 1)/9
Let j(i) be the third derivative of -i**7/945 - 29*i**6/540 - 16*i**5/27 - 11*i**4/9 - 3822*i**2. Suppose j(v) = 0. Calculate v.
-22, -6, -1, 0
Factor 42/5 - 9*q + 3/5*q**2.
3*(q - 14)*(q - 1)/5
Let d(z) be the first derivative of 2*z**5/35 + 15*z**4/14 + 26*z**3/7 - 235*z**2/7 - 1800*z/7 - 3778. Solve d(b) = 0 for b.
-9, -5, 4
Let i(u) be the first derivative of -u**4/18 - 7*u**3/9 - 3*u**2 - 12397. Factor i(q).
-q*(q + 6)*(2*q + 9)/9
Determine b so that 90*b**2 + 0 + 0*b + 1/3*b**4 - 31*b**3 = 0.
0, 3, 90
Suppose 27*b**4 - 27*b**2 - 57*b + 0 - 3/4*b**5 + 231/4*b**3 = 0. Calculate b.
-2, -1, 0, 1, 38
Suppose 0 = -22*t + 17*t + 4*y + 15992, 2*y + 15996 = 5*t. Factor -1/2*g**2 + 80*g - t.
-(g - 80)**2/2
Let c be 14*(16/12 + -3 - (-1476)/756). Factor 21/2*i**3 + 0 - 25/2*i**c - i - 3/2*i**2 + 9/2*i**5.
i*(i - 1)**3*(9*i + 2)/2
Let b be (5 - 195/45)*3. Let g(t) = 15*t**3 + 2*t**2 - t. Let q be g(1). Factor -4*v + 9*v**2 - 5*v**3 + b*v**3 + q*v.
-3*v*(v - 4)*(v + 1)
Let f(l) be the third derivative of 0 + 145*l**2 + 16/3*l**3 - 19/6*l**4 + 11/60*l**6 + 0*l + 19/30*l**5 - 1/15*l**7 - 1/168*l**8. Factor f(a).
-2*(a - 1)**3*(a + 2)*(a + 8)
Let 1623/4 + 1629/4*o**2 + 3/4*o**3 + 3249/4*o = 0. What is o?
-541, -1
Let t be (2160/56)/(1/7). Suppose 79*o = 82*o - t. Suppose 17*h**3 + 364 + o*h + 81*h**2 - 2*h**3 - 340 = 0. What is h?
-4, -1, -2/5
Let x(g) be the third derivative of g**5/15 - 139*g**4/2 - 836*g**3/3 + 4126*g**2 - 1. Determine s, given that x(s) = 0.
-1, 418
Suppose -25*l = -23*l. Suppose l = 3*g - 0*g - 21. What is z in 10 + 17*z**2 - 9*z**2 - g*z - 6*z**2 - 5*z = 0?
1, 5
Let r(m) = -m**3 + 9*m**2 - 21*m + 20. Let k be r(6). Let h(o) be the first derivative of 0*o + 4/21*o**3 + 10 - 2/7*o**k. Factor h(w).
4*w*(w - 1)/7
Let n(o) be the third derivative of o**6/60 + 31*o**5/10 + 15*o**4/2 - 184*o**3/3 + o**2 + 372*o. Factor n(j).
2*(j - 1)*(j + 2)*(j + 92)
Let f(v) = 172*v**2 - 346*v + 6. Let a be f(2). Let s(u) be the first derivative of -6*u**a + 15 + 0*u - 2/3*u**3. Factor s(c).
-2*c*(c + 6)
Suppose 3402/5*n + 738/5*n**2 + 0 + 2/15*n**4 + 122/15*n**3 = 0. What is n?
-27, -7, 0
Suppose -19 + 64 = 5*i. Suppose -l = -12 + i. Find p such that 28*p**l + 9*p - 48*p**2 - 85 + 3*p + 93 = 0.
-2/7, 1
Let i(z) be the first derivative of -z**4 - 2132*z**3/27 - 3260*z**2/9 - 448*z/3 + 5258. Find j, given that i(j) = 0.
-56, -3, -2/9
Let j be -4 + (195/44 - 0). Let k = -1/4 + j. Determine d, given that -30/11*d - 14/11*d**2 - k*d**3 - 18/11 = 0.
-3, -1
Let m(n) = -5*n + 62. Let d be m(12). Suppose 8*c - 3*c - 60 = 0. Find q, given that 12 - c + 4*q**5 + 32*q**3 + 20*q**4 + 16*q**d = 0.
-2, -1, 0
Let 767*z + 120*z**3 + 1728*z**2 + 3080*z + 18144 + 2*z**4 + 5657*z = 0. What is z?
-42, -6
Let d be 20/6*2/((-4)/(-3)). Factor -15*k**2 + 97*k**3 + 84*k**3 - 201*k**3 - d*k**4.
-5*k**2*(k + 1)*(k + 3)
Let d(z) = -54*z**4 + 86*z**3 + 36*z**2 + 8*z - 32. Let g(b) = 35*b**4 - 57*b**3 - 24*b**2 - 5*b + 20. Let n(y) = -5*d(y) - 8*g(y). Factor n(t).
-2*t**2*(t - 3)*(5*t + 2)
Let c(q) = 3*q + 45*q**2 - 10*q**2 + 25*q**3 + 11*q**4 + 15*q. Let h(k) = 2*k**4 + k. Let p(t) = -c(t) + 3*h(t). Factor p(a).
-5*a*(a + 1)**2*(a + 3)
Suppose 3*t = 5*n - 20, 10*n = -2*t + 8*n + 8. Find o, given that t - 1/4*o**3 - 1/2*o**2 - 1/4*o = 0.
-1, 0
Let l(a) = a**2 - 18*a - 108. Let y be l(23). Let u be (-4)/(-6)*-3 + y/3. Factor -4/3 - 8/3*g - u*g**2 + g**3.
(g - 2)*(g + 1)*(3*g + 2)/3
Let t(u) be the second derivative of 3*u**6/110 + 21*u**5/10 + 3169*u**4