e of 29*w**2/2 - 346*w + 373. Let t be u(12). Factor 0 + 3*r**2 + t*r**3 + 1/3*r**4 + 4/3*r.
r*(r + 1)**2*(r + 4)/3
Let p = -58678783/63959413 + -6752/17951. Let q = -4/509 - p. Factor 3/7*k - 9/7*k**2 + q - 3/7*k**3.
-3*(k - 1)*(k + 1)*(k + 3)/7
Let o = 427 + -424. Find t, given that t - 555*t**3 - 2*t**2 + 3*t**2 - 3*t**2 + 556*t**o = 0.
0, 1
Let k be 0*(6 + -8 - (-2 - -1)). Suppose -15 = -5*p - k. Factor p*t**5 + 6*t**4 - 12 + 12 - 4*t**3 + 7*t**3.
3*t**3*(t + 1)**2
Determine b, given that -9147*b + 4620*b - 312 - 2*b**2 + 4591*b = 0.
6, 26
Let s be 20/8*102/85. Let m(r) be the first derivative of 2*r**2 + 0*r + 20 - 1/4*r**4 - 1/5*r**5 + 4/3*r**s. Factor m(w).
-w*(w - 2)*(w + 1)*(w + 2)
Let n(c) be the first derivative of -c**3/9 + 10*c**2 - 704*c/3 + 9600. Factor n(b).
-(b - 44)*(b - 16)/3
Determine b so that -18*b - 1142*b**2 + 1311 + b**4 + 270*b + 17*b**4 - 1311 + 32*b**3 = 0.
-9, 0, 2/9, 7
Let j(w) be the third derivative of -w**5/40 - 267*w**4/16 - 133*w**3/2 - w**2 + 720*w - 1. What is l in j(l) = 0?
-266, -1
Let m be (-5040)/1620*(-24)/28. Factor m*z**2 + 7/6*z**3 + 0 + 2/3*z.
z*(z + 2)*(7*z + 2)/6
Factor -10 - 1/2*u**4 + 15/2*u**2 + u**3 + 2*u.
-(u - 5)*(u - 1)*(u + 2)**2/2
Let a(j) be the second derivative of j**6/15 - 2*j**5/5 + 5*j**4/6 - 2*j**3/3 + 1441*j. Suppose a(p) = 0. Calculate p.
0, 1, 2
Let c(t) be the second derivative of t**5/30 - 29*t**4/54 - 4*t**3/9 + 20*t**2/9 - 2183*t. Factor c(x).
2*(x - 10)*(x + 1)*(3*x - 2)/9
Let c(o) be the first derivative of o**8/336 - 5*o**7/168 - o**6/12 + 19*o**3 - 14. Let w(h) be the third derivative of c(h). What is x in w(x) = 0?
-1, 0, 6
Let p(u) = 2*u**4 + 13*u**3 - 30*u**2 - 16*u + 34. Let z(g) = g**4 + 14*g**3 - 29*g**2 - 16*g + 32. Let n(f) = 4*p(f) - 6*z(f). Suppose n(b) = 0. What is b?
-1, 1, 2, 14
Factor 3257*g**3 - 1172788*g - 6*g**4 + 9*g**4 + 425882*g + 1453245*g**2 - 710521*g + 922*g**3.
3*g*(g - 1)*(g + 697)**2
Let i(n) = -n**2 - 6*n + 29. Let b be i(-10). Let g(c) = -32*c - 350. Let z be g(b). Find a, given that 24/13 - 2/13*a**z + 8/13*a = 0.
-2, 6
Solve -70*b + 43*b**4 - 87*b**4 + 15*b**3 + 49*b**4 + 25*b**2 + 25*b**3 = 0.
-7, -2, 0, 1
Let w(l) be the third derivative of 2*l**7/21 - 9*l**6/10 - 26*l**5/3 + 36*l**4 - 128*l**3/3 - 60*l**2 + 2*l - 4. What is g in w(g) = 0?
-4, 2/5, 1, 8
Factor -345*k**2 - 282*k**3 + 339*k**3 + 992*k - 317*k - 3*k**4.
-3*k*(k - 9)*(k - 5)**2
Let b(r) be the second derivative of -7*r**4/108 - 925*r**3/54 - 22*r**2/3 - 5838*r. Suppose b(m) = 0. Calculate m.
-132, -1/7
Let y(n) be the third derivative of 12*n - 3*n**2 + 5/54*n**4 + 0*n**3 + 1/30*n**5 + 0. Factor y(i).
2*i*(9*i + 10)/9
Let f = -13 - -57. Suppose -4*t = -15*t + f. Suppose 11*n**2 - n**2 + 5*n**4 + t*n**3 - 19*n**3 = 0. What is n?
0, 1, 2
Let h(s) be the third derivative of s**7/42 - 41*s**6/24 - 43*s**5/6 - 1965*s**2. Factor h(f).
5*f**2*(f - 43)*(f + 2)
Let z = -577/12390 - -33/413. Let d(c) be the third derivative of 32*c**2 + 0 + 0*c + 5/12*c**4 + 2*c**3 - z*c**5. What is k in d(k) = 0?
-1, 6
Solve 407*a - 83*a**2 + 50*a**3 - 5*a**4 - 620*a**2 - 1262*a**2 + 573*a + 940*a**3 = 0.
0, 1, 196
Solve 94*b**2 + 61 + 101 + 76*b + 484*b - 4*b**3 - 188*b = 0.
-3, -1/2, 27
Suppose 3*g = -15, -3*g = 2*l + 604 - 5171. Find y such that y**2 + 2916 - 45*y - 5*y - l = 0.
25
Let h(k) be the third derivative of -9*k**2 + 0*k + 1/390*k**5 + 1/13*k**3 - 1/780*k**6 - 1 + 5/156*k**4. Determine c, given that h(c) = 0.
-1, 3
Let u = 15/1252 - -1117/11268. Let o(z) be the first derivative of u*z**3 - 23 - 2/3*z**2 + z. Determine d, given that o(d) = 0.
1, 3
Let i = -247 + 389. Factor -764 - 417 - 4*j**2 + i*j + 18*j - 419.
-4*(j - 20)**2
Let p be (-15)/(-18)*(-26)/(-130)*-8*6/(-4). Factor -4/5*g + 0 + 2/15*g**p + 2*g**3.
2*g*(3*g + 2)*(5*g - 3)/15
Let h(o) = -o**2 - 9*o. Let v be h(-9). Let d be v*((-16)/(-6))/(-8). Let 2*p + 7*p - 3*p**3 + d*p**2 + 6*p**2 = 0. Calculate p.
-1, 0, 3
Let u(a) be the second derivative of -a**5/45 + 116*a**4/27 - 458*a**3/27 + 76*a**2/3 + 769*a. Find y, given that u(y) = 0.
1, 114
Let h be 45/18 + -1 - 13/(-2). Let h*f**2 - 78*f - 38 + 9*f**2 + 3*f**2 + 30 = 0. Calculate f.
-1/10, 4
Let g(b) be the second derivative of -b**2 + 0*b**3 + 0 + 1/6*b**4 + 248*b. What is f in g(f) = 0?
-1, 1
Suppose b = 4*g + 14, 2*g = b + 16 - 24. Let u be (4/(-2))/((-4)/10). Solve 25*f**2 - u*f - 50*f**2 + 30*f**b = 0.
0, 1
Let b(t) be the third derivative of t**8/840 + 1159*t**7/525 + 167039*t**6/150 - 504599*t**5/75 + 1011521*t**4/60 - 337561*t**3/15 - 4256*t**2. Factor b(o).
2*(o - 1)**3*(o + 581)**2/5
Let p be (5/(-3) - 1) + 2875/(-23) + 135. Factor -32/9*x - p*x**3 - 2/9*x**5 - 80/9*x**2 - 20/9*x**4 + 0.
-2*x*(x + 1)**2*(x + 4)**2/9
Let t(s) = s**3 + 60*s**2 + 138*s + 120. Let k(w) = 10*w**3 + 725*w**2 + 1655*w + 1440. Let m(c) = 2*k(c) - 25*t(c). What is n in m(n) = 0?
-6, -2
Let t(c) = c**3 - c**2. Let f(u) = 2*u**3 - 1 - 5*u**3 + 2*u**2 + 20*u - 11 - 7*u**3. Let j(y) = f(y) + 6*t(y). Factor j(q).
-4*(q - 1)**2*(q + 3)
Let o(r) be the third derivative of 1/720*r**6 + 625/48*r**4 + 0*r + 1 + 15625/36*r**3 + 12*r**2 + 5/24*r**5. Factor o(s).
(s + 25)**3/6
Suppose -955*m**3 - 417*m + 6*m**5 - 338*m**3 - 408*m**4 + 281*m**3 - 1248*m**2 - 3*m**5 - 230*m**3 = 0. Calculate m.
-1, 0, 139
Let n(d) = d**3 + 41*d**2 + 40*d + 4. Let y be n(-40). Determine p so that -299*p**4 - 40*p**5 - 38*p**2 + 337*p**y + 34*p**3 + 6*p + 5 - 5 = 0.
-1, 0, 1/5, 3/4, 1
Let x(r) = -24*r**4 - 436*r**3 - 12012*r**2 + 53828*r - 55656. Let i(s) = s**4 - s**3 - 2*s**2 - s - 2. Let u(z) = 20*i(z) + x(z). What is v in u(v) = 0?
-59, 2
Suppose 23*u = 75*u - 2964. Suppose -u = -77*z + 58*z. Solve 0*a + 0 + 1/5*a**5 - 1/5*a**4 - 2/5*a**z + 0*a**2 = 0 for a.
-1, 0, 2
Let u(t) be the first derivative of -15*t**3 - 1257*t**2/2 + 84*t - 4978. Let u(h) = 0. What is h?
-28, 1/15
Let n(y) = -17*y - 118. Let p be n(-7). Let c(o) = o**2 - 90*o. Let s(z) = -z**2. Let f(t) = p*c(t) + 6*s(t). Suppose f(u) = 0. What is u?
-18, 0
Let h(k) = k**4 - 2*k**3 - 3*k**2 + k. Let q(f) = 12*f**4 - 288*f**3 - 30*f**2 + 10*f. Let z(b) = 20*h(b) - 2*q(b). Factor z(y).
-4*y**3*(y - 134)
Let k(l) = -l**3 + 168*l**2 - 341*l + 154. Let u(h) = -3*h**3 + 505*h**2 - 1023*h + 466. Let n(b) = -11*k(b) + 4*u(b). Find a such that n(a) = 0.
1, 170
Factor -71*w + 105 - 8*w**3 + 7*w**3 + 203*w**2 - 188*w**2.
-(w - 7)*(w - 5)*(w - 3)
Factor -606 + 55*r**2 - 367*r**2 + 1327*r - 2242*r - 3*r**3.
-3*(r + 1)*(r + 2)*(r + 101)
Let z(h) = -h**2 - 23*h + 30. Let n be z(-24). Factor -21*u - 4*u - n*u**2 - 5*u**3 + 9 - 19 - 14*u**2.
-5*(u + 1)**2*(u + 2)
Let s(q) be the third derivative of q**6/180 - q**5/30 - 2*q**4/3 - 31*q**3/2 - 2*q**2 + 6*q. Let a(n) be the first derivative of s(n). Factor a(y).
2*(y - 4)*(y + 2)
Let x(i) be the first derivative of -i**5/540 + 2*i**3/27 - 26*i**2 + 49. Let q(g) be the second derivative of x(g). Let q(b) = 0. Calculate b.
-2, 2
Suppose -4*x + 12 = 4*a, -3*x = -11*a + 8*a + 27. Factor 6*o - 15*o**3 + 21*o - a*o + 6*o**3 + 60*o**2.
-3*o*(o - 7)*(3*o + 1)
Let l(d) be the first derivative of -d**6/15 + d**5/10 + 2*d**4 + 4*d**3/3 - 16*d**2 - 32*d - 92. Let z(v) be the first derivative of l(v). Factor z(g).
-2*(g - 4)*(g - 1)*(g + 2)**2
Let w = 15/3616 - -101203/10848. Let -2/3*l**2 - w*l + 0 = 0. Calculate l.
-14, 0
Let q(p) be the first derivative of p**3/5 + 1806*p**2/5 - 9134. Solve q(o) = 0.
-1204, 0
Factor 272/11*v + 2/11*v**2 + 798/11.
2*(v + 3)*(v + 133)/11
Let f be (27/72*-2)/((-63)/(-48) - 3). Let 0 + f*g**5 - 4/3*g**3 - 16/9*g**2 + 8/9*g**4 + 16/9*g = 0. What is g?
-2, 0, 1
Let x(m) = -38*m - 4. Let g = 5988 - 5994. Let a(c) = 72*c - 3*c**2 + 3*c + 9 + 4*c**2. Let u(v) = g*a(v) - 11*x(v). Suppose u(d) = 0. What is d?
-5, -1/3
Suppose 230/3*u**2 + 0*u - 260*u**4 + 35/3*u**5 - 195*u**3 + 0 = 0. What is u?
-1, 0, 2/7, 23
Let s(a) be the second derivative of -8/9*a**3 - 102*a - 1/18*a**4 + 0 - 16/3*a**2. Factor s(q).
-2*(q + 4)**2/3
Let p(x) be the third derivative of x**6/540 + x**5/30 + 2*x**4/9 + 20*x**3/27 - 2205*x**2. Factor p(i).
2*(i + 2)**2*(i + 5)/9
Let r(h) be the third derivative of -h**5/12 - 455*h**4/2 - 248430*h**3 + 3*h**2 - 40. Factor r(o).
-5*(o + 546)**2
Let m(w) = 11*w - 8. Let u be m(2). Suppose u*z - 9*z 