/3 - 7*m**3/2 + 4*m**2. Let b(y) be the first derivative of p(y). Factor b(x).
5*(x - 16)*(x - 1)*(x + 1)
Factor 0 - 40*h + 1/7*h**2.
h*(h - 280)/7
Let g(v) = v + 7. Let l(n) = n - 10. Let x be l(5). Let h be g(x). Suppose -6 + 1 + k**h + 2 - 2*k + 0 = 0. Calculate k.
-1, 3
Let l(x) be the third derivative of -x**6/540 + 2*x**5/3 - 100*x**4 + 173*x**3/6 - 130*x**2. Let r(q) be the first derivative of l(q). Let r(b) = 0. What is b?
60
Let l(c) = -4 - 15 + 11*c - 7 - 5. Let g be l(3). Determine z so that 6*z + 19*z**3 + 15*z**g - 2*z + z + 5*z**4 - 4*z**3 = 0.
-1, 0
Suppose 5*i + 5 = -3*j, -2*i + 4*j + 26 = i. Let c be (8 + (-18)/3)/((40880/3650)/((-16)/(-10))). Factor -6/7 + c*l**i - 4/7*l.
2*(l - 3)*(l + 1)/7
Let w be ((-180)/(-18) - 508/52)/((-1)/(-13)). Let h(q) be the first derivative of -7 + 3/20*q**4 + 45/2*q**2 + 3*q**w + 75*q. Factor h(g).
3*(g + 5)**3/5
Suppose 2*t - 37 = 5*g, 0 = t - 5*g - 11 - 20. Suppose 2*z - t = q - 2*q, 0 = 5*q. Factor -4*b**z - 12*b + 12*b - 8*b**2.
-4*b**2*(b + 2)
Let f be (-22)/(-10) + -26 + (55 - 31). Factor 0 - f*x**2 - 2/5*x**3 - 1/5*x**4 + 0*x.
-x**2*(x + 1)**2/5
Suppose -97*z = -766 - 495. Suppose -z*d + 8*d + 14*d = 0. Factor -5/4*l**2 - l**3 + d + 0*l + 1/4*l**4.
l**2*(l - 5)*(l + 1)/4
Find d such that -2/7*d**4 + 5135416/7*d + 810/7*d**3 - 14436624/7 - 110148/7*d**2 = 0.
3, 134
Let l(z) = -2149*z**3 + 6851*z**2 - 1095*z + 34. Let d(u) = -430*u**3 + 1370*u**2 - 219*u + 7. Let k = 430 + -432. Let c(t) = k*l(t) + 11*d(t). Factor c(y).
-3*(y - 3)*(12*y - 1)**2
Factor 51/2 + 27/2*d**2 - 231*d.
3*(d - 17)*(9*d - 1)/2
Let u(g) = 4*g**2 + 1250*g + 18. Let l(v) = 4*v**2 + 1257*v + 21. Let w(a) = -6*l(a) + 7*u(a). Suppose w(x) = 0. What is x?
-302, 0
Let v be (-27)/(-12)*6/75*10. Factor -9/5*c**2 - 3/5*c**3 + v + 3/5*c.
-3*(c - 1)*(c + 1)*(c + 3)/5
Factor 56*d**2 + 2/11*d**4 - 1568/11*d - 64/11*d**3 + 0.
2*d*(d - 14)**2*(d - 4)/11
Let 555*r**2 + 72*r**2 + 1948*r**4 - 12*r**5 + 233*r**2 + 44*r**3 + 3228*r**3 + 452*r**2 = 0. Calculate r.
-1, -2/3, 0, 164
Let b(f) be the third derivative of f**8/28 - 92*f**7/35 - 11*f**6/40 + 103*f**5/4 - 52*f**4 + 46*f**3 - f**2 + 284*f. Find q, given that b(q) = 0.
-2, 1/2, 1, 46
Let u = -2/1823 + 20069/14584. Let t(o) be the second derivative of -u*o**4 + 0 - 3/40*o**5 - 35/4*o**3 - 75/4*o**2 + 22*o. Suppose t(y) = 0. Calculate y.
-5, -1
Let y be 2 + -1 + (-7)/(-7) + -56. Let u = -51 - y. Solve v**3 - 2*v**2 - 5 + 4 - 4*v + 3*v**2 - u = 0.
-2, -1, 2
Let y = -3811/3 - -1219. Let x = 776/15 + y. Factor -1/5*s + 0 + 0*s**3 + 2/5*s**4 + 1/5*s**5 - x*s**2.
s*(s - 1)*(s + 1)**3/5
Suppose 8*z - 23 = -7. Factor -2*l**3 + 8*l**3 + 2*l**5 + 56*l**4 - 68*l**4 + 20*l**z.
2*l**2*(l - 5)*(l - 2)*(l + 1)
Let s(p) be the third derivative of p**7/168 - p**6/24 + p**5/8 - 5*p**4/24 - 77*p**3/6 - 12*p**2. Let x(r) be the first derivative of s(r). Factor x(c).
5*(c - 1)**3
Let h = 445 + -423. Let y be (-12)/h - (-312)/88. Let 2/7*r**4 + 0*r + 0*r**y - 4/7*r**2 + 2/7 = 0. Calculate r.
-1, 1
Let k(u) be the third derivative of -u**6/40 + 108*u**5/5 - 431*u**4/8 - 616*u**2 - 1. Solve k(t) = 0.
0, 1, 431
Let j = 6650 - 99748/15. Let a(k) be the third derivative of 0*k**4 + j*k**5 + 1/10*k**6 + 0*k + 0*k**3 + 0 - 15*k**2 + 2/105*k**7. Solve a(v) = 0.
-2, -1, 0
Factor 2/7*a**2 - 36*a - 774/7.
2*(a - 129)*(a + 3)/7
Factor s - 1/3*s**2 + 70/3.
-(s - 10)*(s + 7)/3
Factor 20*q**3 + 31*q**3 - 838*q - 53*q**3 + 507 + 102*q**2 + 231.
-2*(q - 41)*(q - 9)*(q - 1)
Factor -332*m**2 + 297*m**2 + 165*m**2 + 3*m**3 + 2*m**3 - 720*m + 585*m**2.
5*m*(m - 1)*(m + 144)
Let l(g) = -9*g**3 - 19*g**2 - 7. Suppose 0 = -2*n - 4 + 18. Let f(q) = 5*q**3 + 10*q**2 + q + 4. Let x(u) = n*f(u) + 4*l(u). Factor x(z).
-z*(z - 1)*(z + 7)
Let q(k) be the third derivative of -k**8/672 + 11*k**7/210 + 103*k**6/240 + 4*k**5/15 - 13*k**4/4 - 1496*k**2 + 2. Let q(x) = 0. What is x?
-3, -2, 0, 1, 26
Let h(o) be the third derivative of -o**7/840 + 89*o**6/480 - 701*o**5/80 + 5203*o**4/96 + 1849*o**3/6 - 27*o**2 - 19*o. Suppose h(w) = 0. Calculate w.
-1, 4, 43
Let o(t) = t**2 - 3*t + 1. Let h be o(3). Let g(f) = 3*f**3 + 6*f**3 + 12*f - 9 + 3*f - 15*f**2. Let j(x) = x**2 - 1. Let b(d) = h*g(d) - 18*j(d). Factor b(k).
3*(k - 3)*(k - 1)*(3*k + 1)
Let s(x) = x**2 + 14*x + 3. Let t be s(-14). Suppose -2*k - 2 = -0, -t*h - k = -95. Find g such that 4*g**2 + 3*g + 20*g**3 - h*g**3 + 5*g**2 = 0.
-1/4, 0, 1
Let -47/2*k**2 + k**4 + 21/2 - 7/2*k**3 - 17/2*k = 0. What is k?
-3, -1, 1/2, 7
Let f(q) be the first derivative of 5*q**3 - 2763*q**2/2 + 552*q + 5612. Determine j so that f(j) = 0.
1/5, 184
Suppose 19*a - 259 = 672. Let 60*d - 204*d**3 - 8 + 245*d**5 + a*d**3 - 94*d**2 + 2132*d**4 - 1880*d**4 = 0. What is d?
-1, 2/7, 2/5
Let z = -181868 - -181872. What is t in 0 + 688/15*t**3 + 0*t + 10/3*t**5 + 178/3*t**z + 136/15*t**2 = 0?
-17, -2/5, 0
Let g(v) = 3*v**5 - 17*v**4 + v**3 - 3*v**2 + 8. Let j be 4*(8 - -6)/7. Let l(t) = t**5 - 6*t**4 - t**2 + 3. Let z(d) = j*l(d) - 3*g(d). Factor z(k).
-k**2*(k - 1)**3
Let a(o) be the third derivative of o**5/12 + 145*o**4/24 - 110*o**3 + 2*o**2 - 1355*o. Factor a(k).
5*(k - 4)*(k + 33)
Let f(o) be the first derivative of -o**5/10 - 11*o**4/6 - 6*o**3 - 160*o + 163. Let b(w) be the first derivative of f(w). Solve b(k) = 0.
-9, -2, 0
Factor 1544*w**3 + 9448*w**5 + 69*w**3 + 127*w**3 + 4620*w**4 + 160*w**2 - 10053*w**5.
-5*w**2*(w - 8)*(11*w + 2)**2
Let i(d) be the first derivative of 2*d**3/9 + 566*d**2/3 + 160178*d/3 - 3162. Factor i(n).
2*(n + 283)**2/3
Solve -184/3 - 50/3*m**2 - 188/3*m - 1/3*m**3 = 0.
-46, -2
Suppose -3*j + 5 = 4*w - 3, -3*j = w + 7. Factor 0*s + 2/9*s**w + 0*s**2 - 2/9*s**3 + 0*s**4 + 0.
2*s**3*(s - 1)*(s + 1)/9
Let w(p) be the first derivative of p**9/7560 + p**8/1050 - p**7/75 + 8*p**6/225 - 3*p**3 + 4*p + 126. Let m(q) be the third derivative of w(q). Factor m(z).
2*z**2*(z - 2)**2*(z + 8)/5
Suppose -15 = 3*p, -2*j + 6*p - 3*p = -21. Suppose -5*f = j*f - 40. Suppose 2*x**2 - 2*x**2 + 9*x**5 + 16*x**4 - 12*x**3 + 2*x - 15*x**f = 0. Calculate x.
-1/3, 0, 1
Let t(j) be the third derivative of -j**5/90 + 11*j**4/9 - 65*j**3/3 + 797*j**2. Let t(p) = 0. What is p?
5, 39
Let r be 12/(-14) + (-39364)/(-910). Let q = r - 42. Factor q*m - 2/5*m**5 + 0 + 4/5*m**2 - 4/5*m**4 + 0*m**3.
-2*m*(m - 1)*(m + 1)**3/5
Find p such that 40 + 4/3*p - 4/3*p**2 = 0.
-5, 6
Suppose w = -3*r - 32, -45 = w + 4*r - 1. Solve 1/7*b**5 - 10/7*b**3 - 4/7 + 0*b**w - 15/7*b - 20/7*b**2 = 0 for b.
-1, 4
Suppose 25 = 11*q - 6*q. Suppose -4*c + 0*c = -z + 148, 2*c = q*z - 650. Suppose -6*l**2 - z*l**3 + 133*l**3 + 1 + l**2 - 5*l + 4 = 0. Calculate l.
-1, 1
Let q be ((-8)/(-14))/(12/42). Determine f so that -11*f**q - 30*f**3 - 21*f**2 - 5*f**4 - 13*f**2 = 0.
-3, 0
Let o(a) be the second derivative of 17 + 1/4*a**4 - 39*a**2 - 4*a + 11/2*a**3. Factor o(r).
3*(r - 2)*(r + 13)
Let c(b) = -45*b - 10. Let f be c(-2). Let i = 82 - f. Factor -30*r - 2*r**2 - 2 - 3*r**i - 23.
-5*(r + 1)*(r + 5)
Factor 2/3*z**2 + 175232/3 + 1184/3*z.
2*(z + 296)**2/3
Factor -201 + 41*m + 164 + m**2 + 77 + 0*m**2.
(m + 1)*(m + 40)
Factor 15*h**3 - 75*h + 19*h**2 + 38*h**2 + 2*h**2 + 6*h**2 - 5*h**4.
-5*h*(h - 5)*(h - 1)*(h + 3)
Let g = -23314 - -69974/3. Factor -4/3*o + 12*o**2 - g.
4*(o - 1)*(9*o + 8)/3
Let a(l) = -4*l**4 - 12*l**3 - 42*l**2 + 95*l - 86. Let x(t) = -t**4 - 4*t**3 - 13*t**2 + 32*t - 28. Let r(m) = -2*a(m) + 7*x(m). Find i such that r(i) = 0.
-3, 1, 2, 4
Let m(p) be the third derivative of 0 + 1/18*p**4 + 4*p - 1/180*p**6 + 3*p**2 + 1/60*p**5 - 1/630*p**7 - 2/9*p**3. Factor m(f).
-(f - 1)**2*(f + 2)**2/3
Let y(s) be the third derivative of 5*s**8/336 - 3*s**7/14 + 11*s**6/24 + 7*s**5/4 - 1535*s**2. Factor y(x).
5*x**2*(x - 7)*(x - 3)*(x + 1)
Let c = -317 - -322. Let v(q) be the third derivative of 1/210*q**c + 1/42*q**4 + 0*q + 0 + 1/21*q**3 + 3*q**2. Factor v(k).
2*(k + 1)**2/7
Let f be 8/((-10)/75 + (-76)/(-120)). Suppose -21*a = -f*a + 3*z - 27, 7 = a + z. Factor 27/2 - 3/2*j**a - 9/2*j - 15/2*j**2.
-3*(j - 1)*(j + 3)**2/2
Let r be (115388/65)/28 - 58. Find p, given that 18/5*p**3 - r - 48*p**2 - 162/5*p + 27/5*p**4 = 0.
-3, -1/3, 3
Suppose -2*w - 3*v = -w - 35, -4*w + 5*v = -55. Suppose 7*t**2 - w*t + 0*t**3 + 3*t**3 + 8*t - 12 - 4