= w. Let 33*j**a + 4 - 17*j**2 - 4*j - 15*j**2 = 0. Calculate j.
2
Suppose 4 = -2*w + 18. Let t be (w/14)/(2/(2 - -6)). Factor -6*u**3 - 4*u + 17*u**2 - 2*u**4 + 2*u**3 + u**3 + u**5 - 9*u**t.
u*(u - 2)*(u - 1)**2*(u + 2)
Suppose 73 - 127 = 3*s - 5*c, 4*s + 28 = 3*c. Suppose -1/3*j**s + 7/6*j - 1/3 - 1/2*j**3 = 0. Calculate j.
-2, 1/3, 1
Let h = 123236/215761 - -8/30823. Solve 15/7*p + h - 4/7*p**2 = 0 for p.
-1/4, 4
Let 288 - 2/5*d**5 + 168/5*d**3 - 896/5*d**2 + 384/5*d + 6/5*d**4 = 0. What is d?
-10, -1, 2, 6
Let q = -2335 - -2693. Let k be (2/15)/(q/4475). Let 5/6 + 5/3*o - k*o**3 + 5/2*o**4 - 10/3*o**2 = 0. What is o?
-1, -1/3, 1
Let k be (-3)/(-3) + 42/8. Suppose -750 = -37*u - 639. Let 5/2*p**2 - k*p - 5*p**4 + 5/4*p**5 + 5/2 + 5*p**u = 0. Calculate p.
-1, 1, 2
Let o(s) be the first derivative of -44 + 0*s + 0*s**4 + 5/3*s**2 - 1/3*s**5 + 5/3*s**3. Factor o(y).
-5*y*(y - 2)*(y + 1)**2/3
Let d be (-80)/(-120) + (-1)/((-2)/90) - 3. Let n(r) be the third derivative of -1/15*r**5 + 0 + 0*r - 24*r**2 - d*r**3 - 8/3*r**4. Factor n(y).
-4*(y + 8)**2
Suppose 44 - 2/3*a**2 - 38/3*a = 0. What is a?
-22, 3
Let s be ((-28)/4 + 7)/(1/(66/(-12) + 5)). Factor -5/3*a**3 + 0*a + s - 185/3*a**2.
-5*a**2*(a + 37)/3
Let c(x) be the second derivative of x**5/20 - 7*x**4/4 - 19*x**3/6 - 33*x**2 + 600*x. Let y be c(22). Factor 0*u + 12/7*u**3 + y - 2/7*u**4 - 18/7*u**2.
-2*u**2*(u - 3)**2/7
Let n(v) be the second derivative of 5*v**7/42 - 4*v**6/3 + 9*v**5/4 + 55*v**4/6 - 50*v**3/3 - 60*v**2 + 4*v - 7. Suppose n(y) = 0. What is y?
-1, 2, 6
Let u(k) = -k**2 - 9*k + 5. Let h(o) = 11*o**2 - 411*o + 2580. Let l(g) = h(g) + 6*u(g). Find m such that l(m) = 0.
6, 87
Solve -3248*s + 488/5*s**2 + 80736/5 - 4/5*s**3 = 0 for s.
6, 58
Suppose -24*t + 1368 = -26*t. Let k be 5/(-4) - 2007/t. Factor k*x**3 - 6/19 + 50/19*x - 112/19*x**2.
2*(x - 3)*(4*x - 1)**2/19
Let z(j) = -14*j - 232. Let y be z(-17). Factor 9*p + 6*p - 27 + 2*p**4 - 14*p**4 - 3*p**5 + 33 - 19*p**3 + y*p**2 + 7*p**3.
-3*(p - 1)*(p + 1)**3*(p + 2)
Let y(o) = 21*o - 27. Let f(l) = -l**2 + 19*l - 26. Let s be 4/(-7) + (-175)/(-49). Let d(a) = s*f(a) - 4*y(a). Factor d(k).
-3*(k - 1)*(k + 10)
Let u be 16 + 2 - 10 - 3. Let w be 16/(-80) - ((-16)/u - -1). Factor 2/5 - 4/5*l + 2/5*l**w.
2*(l - 1)**2/5
Let t(y) = -y**2 - y + 7. Let z be t(3). Let d be 2 + z/(-2)*(-4)/(-10). Factor -3*k**3 - 4*k**3 + 9*k**3 + d*k**3.
5*k**3
Let w(f) be the third derivative of 11*f**6/90 - 23*f**5/30 + 53*f**4/36 - 2*f**3/3 - 280*f**2. Factor w(a).
2*(a - 2)*(a - 1)*(22*a - 3)/3
Let k(u) = -15*u**4 + 415*u**3 - 1570*u**2 + 2705*u - 935. Let b(p) = -2*p**4 + 52*p**3 - 196*p**2 + 335*p - 117. Let c(y) = -25*b(y) + 3*k(y). Factor c(x).
5*(x - 6)*(x - 2)**2*(x - 1)
Let u be (-712)/(-178)*2/4. Let m(l) be the first derivative of 0*l + 5/4*l**4 + 5*l**u - 9 - 5*l**3. Determine x so that m(x) = 0.
0, 1, 2
Suppose -3 = -3*y + 2*b - 15, -2*y + 8 = 4*b. Let g be (-24)/20*(-5)/y*-1. Factor -4 + 2*x**2 + 2*x**2 - g*x**2 + 5*x - 2*x**2.
-(x - 4)*(x - 1)
Suppose 0 = 5*d, -4*b - 4*d = -48 - 40. Suppose 15*a - b = 23. Suppose -226*m**2 - m**a + 5*m**3 + 236*m**2 + m**3 = 0. Calculate m.
-2, 0
Let g(k) = -k**4 - k**3 + k**2 + 3*k. Let i(d) = 6*d**4 + 10*d**3 + 2*d**2 - 38*d. Suppose 62*y - 56*y - 6 = 0. Let l(s) = y*i(s) + 10*g(s). Factor l(h).
-4*h*(h - 1)**2*(h + 2)
Let z(m) be the third derivative of m**8/112 - 2*m**7/7 + 37*m**6/40 - 9*m**5/10 - 1236*m**2. Solve z(a) = 0 for a.
0, 1, 18
Let y(c) be the first derivative of 7*c**3/3 - 121*c**2/2 + 34*c + 1339. Solve y(t) = 0 for t.
2/7, 17
Let m be (-2)/((-45)/10 - -4). Factor -5*c**2 + 56*c**4 - 115*c**m + 20*c**3 - 30*c + 54*c**4.
-5*c*(c - 3)*(c - 2)*(c + 1)
Factor 67893*a**2 + 155980*a**2 + 450479*a**2 - 4*a**5 - 3842*a**4 + 6525036*a - 42376*a**3 + 10001880 + 4570*a**4.
-4*(a - 63)**3*(a + 2)*(a + 5)
Let u(d) be the second derivative of d**6/6 + 7*d**5/4 - 65*d**4/4 - 105*d**3/2 + 675*d**2 + 3050*d. Find s such that u(s) = 0.
-10, -3, 3
Let l(i) = 38*i**3 - 158*i**2 + 44*i + 226. Let t(b) = 8*b**3 - 32*b**2 + 8*b + 45. Let p(y) = -3*l(y) + 14*t(y). Determine v, given that p(v) = 0.
-1, 2, 12
Let c(q) be the first derivative of -5*q**6/21 + 2134*q**5/35 - 56601*q**4/14 - 69550*q**3/21 + 22898*q**2/7 - 3009. Let c(g) = 0. Calculate g.
-1, 0, 2/5, 107
Let g(k) be the second derivative of -75*k**3 - 9/4*k**5 - 5 - 415/12*k**4 - 4*k - 40*k**2. Find q such that g(q) = 0.
-8, -1, -2/9
Let r(l) be the third derivative of l**8/2352 - 8*l**7/735 - 19*l**6/280 + 299*l**2 + l. Determine c so that r(c) = 0.
-3, 0, 19
Let r(w) be the second derivative of w**5/160 - 41*w**4/24 - w**3/48 + 41*w**2/4 - 3231*w - 1. Factor r(i).
(i - 164)*(i - 1)*(i + 1)/8
Factor 1/6*n**5 + 266*n**2 + 277/6*n**3 + 0 + 294*n - 19/3*n**4.
n*(n - 21)**2*(n + 2)**2/6
Suppose 6*w = -73*f + 68*f - 28, -4*f - 22 = 5*w. Factor -4/13*b**w - 2/13*b**4 - 6/13*b**3 + 0*b + 0.
-2*b**2*(b + 1)*(b + 2)/13
Let z be (-5 + (-570)/(-126))*(-6230)/2225. Determine f so that 38/3*f**2 + 14*f + z = 0.
-1, -2/19
Let a be (56/(-6))/((-15)/180). Determine j so that -384*j - 1368*j**2 + 683*j**2 + 657*j**2 + a = 0.
-14, 2/7
Let u(t) be the second derivative of -t**5/20 - 1787*t**4/4 - 3193369*t**3/2 - 5706550403*t**2/2 + 10072*t. Find i such that u(i) = 0.
-1787
Let d = -83 - -86. Find g, given that -3*g**3 - 6*g**d - 19*g**2 + 29*g**2 + 20 + 4*g**3 + 35*g = 0.
-1, 4
Let b(o) = o**3 + 7*o**2 - 10*o + 74. Let w be b(-9). Factor 2/9*y**3 + 0*y - 14/9*y**w + 0.
2*y**2*(y - 7)/9
Let l = -134 + 197. Factor -48*s**3 - 113*s**3 - l*s**3 - 153664 - 32724*s - 4704*s**2 - 11180*s - 4*s**4.
-4*(s + 14)**4
Let y(h) = h - 20. Let j be y(22). Factor 13*t**2 + 9*t**2 + 89*t**j - 6*t**3 - 540*t + 243.
-3*(t - 9)**2*(2*t - 1)
Let a(b) be the first derivative of b**5/30 + 97*b**4/12 + 9409*b**3/18 + 899. Factor a(u).
u**2*(u + 97)**2/6
Let r(j) be the first derivative of j**7/490 - 13*j**5/140 - 3*j**4/14 + 93*j**2 - 159. Let q(i) be the second derivative of r(i). Factor q(v).
3*v*(v - 4)*(v + 1)*(v + 3)/7
Let f(j) be the third derivative of j**7/210 + j**6/10 + 11*j**5/40 + j**4/3 - 61*j**3/6 + 5*j**2. Let n(x) be the first derivative of f(x). Factor n(l).
(l + 8)*(2*l + 1)**2
Let s be (-620)/(-372)*14/15. Let t be 12*(-52)/351 + (3 - 1). Factor -s - 16/9*c - t*c**2.
-2*(c + 1)*(c + 7)/9
Let k(l) = 273*l**2 - 66960*l + 37363680. Let r(w) = 81*w**2 - 20088*w + 11209104. Let x(i) = 8*k(i) - 27*r(i). Let x(h) = 0. Calculate h.
1116
Find c such that -2/11*c**4 - 2/11*c + 4/11*c**2 + 4/11*c**3 - 2/11 - 2/11*c**5 = 0.
-1, 1
Let s(i) be the second derivative of 7/4*i**2 - 2/3*i**3 + 1/5*i**5 - 3*i - 1/4*i**4 + 15 - 1/60*i**6. Factor s(f).
-(f - 7)*(f - 1)**2*(f + 1)/2
Suppose -a + 2*a - 5*k - 29 = 0, -3*a + 32 = -4*k. Let n be (-3)/(-2) - (-40)/16. Find i such that -2*i**a + 10*i**2 - 4 + 0 - n = 0.
-2, -1, 1, 2
Let l(z) be the third derivative of -z**5/270 + 11*z**4/27 + 92*z**3/27 - 50*z**2. Find s, given that l(s) = 0.
-2, 46
Let n(w) be the second derivative of w**5/120 - 5*w**4/9 + 379*w**3/36 + 35*w**2 + 3102*w. Find j, given that n(j) = 0.
-1, 20, 21
Let z be (202/12)/(17/102). Let w = z + -99. Factor 2/3*g + 0 + 2/3*g**w.
2*g*(g + 1)/3
Let h(r) be the third derivative of -r**6/660 + r**5/6 - 98*r**4/33 + 752*r**3/33 - 171*r**2 - 7. Determine b so that h(b) = 0.
4, 47
Let b = 71/266 + -9/532. Suppose 32*x = 27*x. Factor x - 1/8*q**2 - b*q.
-q*(q + 2)/8
Suppose 15*r - 374 = -134. Let a be (r/20)/((-2)/(-10)). Determine x, given that -2*x**2 + 3*x**3 - 22*x**4 + 7*x**5 + 8*x**3 + 6*x**a = 0.
0, 2/7, 1
Suppose 14/5*a**2 + 566/5*a - 328/5 = 0. What is a?
-41, 4/7
Let l = 53353 + -53353. Determine v so that 3/2*v**2 + l*v + 2*v**3 + 1/2*v**4 + 0 = 0.
-3, -1, 0
Let r(j) be the first derivative of -j**3/15 + 9*j**2/5 + 56*j - 61. Find f, given that r(f) = 0.
-10, 28
Let o(m) = -4*m**2 + 61*m + 3. Let b be o(15). Let p be 8/b*126/364. Determine n, given that p*n - 12/13 + 2/13*n**2 = 0.
-3, 2
Suppose 2*h = -l + 75, -6*h + 2*h + 4*l + 180 = 0. Suppose 5*f - 5*s - 25 = 0, -2*s + 3 = -5*f + 28. Factor -3*c + c + 37*c**3 - h*c**3 + f*c.
-3*c*(c - 1)*(c + 1)
Let -1307 - 84*v + 45*v**2 + 1467 - 76*v + 44*v**2 - 5*v**3 - 39*v**2 = 0. Calculate v.
2, 4
Let x be ((-2)/(-5))/((-38)/(