*4/4 + m**3/3 - 2*m**2 + 12*m. Let x(v) be the second derivative of b(v). Factor x(n).
-2*(n - 9)*(n - 1)*(n + 1)
Let r = 1811/10626 + -20/5313. Factor 2*c - r*c**4 - 1/2*c**3 + 4/3 + 1/3*c**2.
-(c - 2)*(c + 1)*(c + 2)**2/6
Suppose -7*r = -5 - 9. Factor -46*k - k**2 - 12*k**2 - 47 + 25 - 13*k**r - 2*k**3.
-2*(k + 1)**2*(k + 11)
Suppose 15 = c + 4*r, 9 = 4*c + 17*r - 18*r. Find x such that -21 - 3*x + 12 + c*x**2 - 96*x - 93 = 0.
-1, 34
Let j(n) be the third derivative of -17*n**5/6 + n**4/8 - 511*n**2 - n. Let j(y) = 0. What is y?
0, 3/170
Let h(m) be the second derivative of -m**4/18 - 35*m**3/9 + 12*m**2 + 80*m. Factor h(j).
-2*(j - 1)*(j + 36)/3
Let g(j) be the second derivative of j**7/70 - 12*j**6/25 - 54*j**5/25 + 648*j**4/5 + 5832*j**3/5 + 5*j - 52. Factor g(q).
3*q*(q - 18)**2*(q + 6)**2/5
Let a(x) = x**3 + 25*x**2 + 149*x - 5. Let f be a(-15). Suppose 35*g + f - 10 = 0. Factor g*h + 5/3*h**4 - 5*h**2 + 0 + 10/3*h**3.
5*h**2*(h - 1)*(h + 3)/3
Let z(b) be the second derivative of 1/18*b**4 - b + 40 + 1/36*b**6 - 1/15*b**5 - 1/252*b**7 + 0*b**3 + 0*b**2. Factor z(l).
-l**2*(l - 2)**2*(l - 1)/6
Suppose -3 = -5*k + 3*c + 18, k - 4*c + 6 = 0. Factor 2*j**2 - 2*j**2 - 4*j + 4*j**2 - 450 + 64*j - k*j**2.
-2*(j - 15)**2
Let l(x) be the first derivative of -x**4/8 - 16*x**3/3 + 67*x**2/4 - 17*x + 5632. Factor l(h).
-(h - 1)**2*(h + 34)/2
Suppose -284 = -24*x + 292. Let m be ((-62)/(-16) + -28 + x)*-1. Factor 1/4*z + 1/8*z**4 + 0 + 1/8*z**5 - 3/8*z**3 - m*z**2.
z*(z - 1)**2*(z + 1)*(z + 2)/8
Let p be (-92)/10 - (-126)/105. Let g = -6 - p. Solve 0 - 6/11*a**4 + g*a**3 + 0*a - 12/11*a**2 = 0.
0, 2/3, 3
Find z such that -628*z**2 - 107*z**3 - 361 - 1/2*z**5 - 1729/2*z + 17*z**4 = 0.
-2, -1, 19
Let f(r) be the third derivative of 73/10*r**5 + 0 + 43/40*r**6 + 1/448*r**8 + 11/140*r**7 - r + 64*r**3 + 22*r**2 + 28*r**4. Find h, given that f(h) = 0.
-8, -2
Let 9/2*h**3 + 369798*h - 245388 - 2577*h**2 = 0. What is h?
2/3, 286
Suppose 8 - 4 = -2*b, -14 = 4*p + 5*b. Let g be (-20 - -16) + p + (-36)/(-7). Factor -3/7*t + 1/7*t**5 + 2/7*t**3 - g + 3/7*t**4 - 2/7*t**2.
(t - 1)*(t + 1)**4/7
Let k(z) be the first derivative of -z**4/28 - 47*z**3/21 + z**2/14 + 47*z/7 + 92. Solve k(d) = 0 for d.
-47, -1, 1
Factor 9*f - 1137*f**4 - 19*f + 962*f**4 + 5*f**5 - 180*f**3 + 10*f.
5*f**3*(f - 36)*(f + 1)
Let -4452/11*t**2 - 2/11*t**3 - 3303384/11*t - 817036976/11 = 0. Calculate t.
-742
Find a such that -184/17*a - 480/17 + 56/17*a**2 - 2/17*a**4 + 10/17*a**3 = 0.
-4, -2, 5, 6
Let w(l) be the third derivative of l**7/735 + 29*l**6/420 - 99*l**5/70 - 29*l**4/84 + 296*l**3/21 - 2*l**2 - 29*l - 15. Find k such that w(k) = 0.
-37, -1, 1, 8
Let q = -2488 - -2494. Let n(k) be the third derivative of -1/105*k**7 - 6*k**2 + 0*k**4 + 0*k + 0*k**3 + 0 - 1/30*k**q + 0*k**5. Find l, given that n(l) = 0.
-2, 0
Let z = -45170 + 45172. Factor -i**z + 5/2*i + 0 + 1/10*i**3.
i*(i - 5)**2/10
Let h(g) be the first derivative of 52*g**2 + 1352*g + 17 + 2/3*g**3. Find i, given that h(i) = 0.
-26
Let b(h) be the third derivative of h**6/80 - 4*h**5/15 + 95*h**4/48 - 25*h**3/6 + 26*h**2 - 6. Factor b(d).
(d - 5)**2*(3*d - 2)/2
Let b = -39092 + 156369/4. Factor 5/4*r + 1 + b*r**2.
(r + 1)*(r + 4)/4
Suppose 0 = 11*w - 73 - 543. Suppose -60*m - 58*m**2 + w + 112*m**2 - 50*m**2 = 0. What is m?
1, 14
Let a(i) be the second derivative of -9/5*i**2 + 1/75*i**6 + 17*i + 6/5*i**3 - 4/15*i**4 - 1/25*i**5 + 0. Solve a(m) = 0.
-3, 1, 3
Let f(y) be the first derivative of 12*y**5/5 + 91*y**4/2 + 274*y**3/3 + 25*y**2 - 54*y - 92. Determine b, given that f(b) = 0.
-27/2, -1, 1/3
Let s(b) be the second derivative of -b**7/840 + b**6/8 - 45*b**5/8 - 11*b**4/4 - 60*b. Let x(g) be the third derivative of s(g). Let x(j) = 0. What is j?
15
Let l(y) be the second derivative of 19*y + 0 - 1/96*y**4 - 1/8*y**2 - 1/16*y**3. Factor l(j).
-(j + 1)*(j + 2)/8
Let s(f) be the third derivative of f**7/2520 + f**6/108 + 23*f**3/3 - 42*f**2 + f. Let y(a) be the first derivative of s(a). Factor y(z).
z**2*(z + 10)/3
Let q(n) be the third derivative of n**7/1470 + 23*n**6/840 + 5*n**5/12 + 159*n**4/56 + 54*n**3/7 - 1861*n**2. Factor q(i).
(i + 1)*(i + 4)*(i + 9)**2/7
Suppose 51*y - 49*y - 34 = 0. Suppose -15*j + y*j = 4*k + 8, -3*k + 16 = 4*j. Factor k - 1/3*v**2 + 3*v.
-v*(v - 9)/3
Solve -673*c**2 - 313 - 32*c + 668*c**2 - 258*c + 2588 = 0.
-65, 7
Let r be (48/4 - 0) + (-72)/9. Let u(j) be the third derivative of 0 + 0*j + 10/3*j**3 + 28*j**2 - 1/15*j**5 + 2/3*j**r. Let u(d) = 0. What is d?
-1, 5
Let b be ((-9)/(-60))/(21/45 - (-1)/(-3)). What is r in 1/2*r**3 + 1/8*r**4 - 3/2*r + b - 1/4*r**2 = 0?
-3, 1
Let i = 2886376/85 + -33958. Let o = 3183/595 + i. Find r such that -o*r**3 - 93/7*r**2 + 12/7 - 48/7*r = 0.
-2, -1, 2/11
Let b(t) be the second derivative of t**6/6 - 649*t**5/2 + 2112485*t**4/12 - 700920*t**3 + 1049760*t**2 + 1203*t. Factor b(f).
5*(f - 648)**2*(f - 1)**2
Let r be 8/(-3 + (-11)/(-3)). Let l(c) be the third derivative of -1/70*c**7 - r*c**2 + 0 + 0*c**5 + 2*c**4 + 8*c**3 - c - 1/10*c**6. Solve l(x) = 0.
-2, 2
Let b be (-100)/175*-28 - 13. Factor 2/3*j + 0 + 1/3*j**2 - 2/3*j**b - 1/3*j**4.
-j*(j - 1)*(j + 1)*(j + 2)/3
Factor 2/9*u**4 + 1438202/9*u**2 + 1445000/9 - 1132/3*u**3 + 962200/3*u.
2*(u - 850)**2*(u + 1)**2/9
Determine y, given that -4614/5*y - 4616/5 + 2/5*y**2 = 0.
-1, 2308
Let s(l) be the first derivative of l**3/7 - 150*l**2 + 2097*l/7 + 817. What is z in s(z) = 0?
1, 699
Factor -17688*w**3 + 0*w - 1/4*w**5 + 267/2*w**4 + 0 - 35912*w**2.
-w**2*(w - 268)**2*(w + 2)/4
Let q = -116 - -123. Let -6*x - x**2 - 8 - 7 + 0*x**2 + q = 0. Calculate x.
-4, -2
Let b be (9451 + -9448)*2/(-6)*(-4)/2. Let 4/13 + 2/13*m**b - 6/13*m = 0. What is m?
1, 2
Let a be (2 - 134)/(-4) + 4. Let m = 43 - a. Factor 30 - m - 30*f + 21 + 5*f**2.
5*(f - 3)**2
Factor -16/11*i - 2/11*i**2 + 18/11.
-2*(i - 1)*(i + 9)/11
Let j(h) be the third derivative of -h**8/60480 + h**7/2160 - 64*h**5/15 + 266*h**2. Let v(c) be the third derivative of j(c). Factor v(o).
-o*(o - 7)/3
Let z(r) be the first derivative of r**4/16 - 7*r**3/4 + 135*r**2/8 - 243*r/4 + 1295. Solve z(i) = 0.
3, 9
Suppose -3*a + 51 = 3*t, -t - 32 - 53 = -5*a. Determine o, given that -56*o - 51*o + 4*o**3 + o**3 - 20*o**2 - 15*o**2 + a*o = 0.
-2, 0, 9
What is f in -484*f**2 + 999*f**2 - 30*f - 516*f**2 - 56 = 0?
-28, -2
Let w = 48 + -33. Let m be (-6)/((-4)/(-10)*w/(-6)). Factor m*n + 0 + 83*n**4 - 6*n**3 - 86*n**4 + 3.
-3*(n - 1)*(n + 1)**3
Suppose 0 = 4*v + 1044 - 1196. Suppose -29*z + 10*z = -v. Factor 8/9*i + 2/9*i**3 + 0 + 8/9*i**z.
2*i*(i + 2)**2/9
Let p be ((-25)/(-1))/(1 - 0). Let -11*a**3 + p*a**2 + a**4 - 64 - 10*a**2 + 2*a**2 + 19*a**2 - 16*a = 0. What is a?
-1, 4
Suppose 5*z + 25 = -3*m, 4*m - 4*z + 24 - 44 = 0. Determine r so that -6/7*r**4 + 6/7*r**3 + m*r + 0 - 2/7*r**2 + 2/7*r**5 = 0.
0, 1
Let b = 202 + -191. What is w in b*w + 5*w**3 + 5*w**2 - 47*w + 26*w = 0?
-2, 0, 1
Let m(f) be the third derivative of -f**7/1050 + 3*f**6/200 + 58*f**5/75 - 106*f**4/5 + 384*f**3/5 - 4083*f**2. Let m(u) = 0. What is u?
-16, 1, 12
Suppose 464 = 3*c - 1687. Let j = 3593/5 - c. Determine y, given that -12/5*y**4 - 26/5*y**3 - 24/5*y**2 - 2/5*y**5 - j*y + 0 = 0.
-2, -1, 0
Let l be -4*(88/(-64))/(1/2). Suppose 4*z = -6*d + l*d + 3, -5 = -5*d. Factor -3/7*n + 0 + 6/7*n**z - 3/7*n**3.
-3*n*(n - 1)**2/7
Let v(x) = x**2 - 206*x + 155. Let s(r) = -9*r - 1. Let a(w) = 5*s(w) - v(w). Find b, given that a(b) = 0.
1, 160
Let q = 831 + -801. Let n be (2/q)/((-3)/(-27)). Solve 9/5*t - 6/5*t**2 - 12/5*t**3 + 6/5 + 0*t**4 + n*t**5 = 0.
-1, 1, 2
Let x(j) be the first derivative of 3/28*j**4 + 2/3*j**3 + 1/2*j**2 + 308 - 4/7*j. Factor x(f).
(f + 1)*(f + 4)*(3*f - 1)/7
Let l be (-8 - -6) + (-1 - 2) + -3. Let g(y) = 5*y**2 + 37*y - 20. Let o be g(l). Factor 32/3*p**2 + 0 + 2/3*p**o + 14/3*p**3 + 8*p.
2*p*(p + 2)**2*(p + 3)/3
Let d(n) = 4*n**2 + 5*n - 6. Let q = -21 + 18. Let j be d(q). Determine w so that -4*w**4 - 68*w**3 - 34*w**3 - 3*w**5 - 76*w**2 + 34*w**3 - 24*w + j*w**5 = 0.
-1, -2/3, 0, 3
Let y(h) = -h**2 - 17*h + 244. Let m be y(-29). Let s be m/(-560) + 10/100. Let -4/7*a**2 - 2*a - 8/7 + s*a**3 = 0. What is a?
-1, 4
Let n(x) be the second derivative of -9/2*x**2 - 189*x + 1 