 + f*r - 1/4*r**2.
-(r - 5)*(r - 2)/4
Suppose -359 + 87 = 8*a. Let u = a - -37. Solve 16*t**2 - 5*t**3 + 4*t**3 - 16*t**4 - 18*t**5 + 14*t**5 - 7*t**u + 12*t = 0 for t.
-3, -1, 0, 1
Solve -249/2*r**3 - 45 + 363/2*r**2 - 39/2*r + 15/2*r**4 = 0.
-2/5, 1, 15
Suppose -3*b = -5*n + 5, -5*b + 39*n = 41*n - 33. Factor -63*c - 2*c**b + 63*c + 36*c**4 + 5*c**5 + 108*c**3.
3*c**3*(c + 6)**2
Factor -160 + 199 - j**2 - j**2 - 141 - 23*j + j**2.
-(j + 6)*(j + 17)
Let x(j) = j - 5. Let g be x(7). Let r be 6 - ((-18)/(-4) + (-1)/g). Find s such that 3 + 4*s**r + 10*s**3 - 7 + 14*s**3 - 14*s - 10*s**3 = 0.
-1, -2/7, 1
Suppose 3*a + 142 = -4*i - 613, 0 = -5*i - 25. Let j = a - -739/3. What is x in -2/3*x**5 + x**4 + j*x**3 + 0 - 2/3*x - x**2 = 0?
-1, -1/2, 0, 1, 2
Let 16/5*x + 2/15*x**3 + 8/3 + 6/5*x**2 = 0. Calculate x.
-5, -2
Let i be (50/(-4) - 3)*26. Let h = -403 - i. Factor -4/15*t**3 + 0*t + h + 2/15*t**2.
-2*t**2*(2*t - 1)/15
Let t be ((-16)/(-12))/((-4)/6*-1). Let -22 - 30 - 12 - 2*f**t - 22*f + 44 = 0. What is f?
-10, -1
Factor 4707*y + 2439 - 20*y**2 + 531 - 762*y.
-5*(y - 198)*(4*y + 3)
Suppose 4*d - 18 = 3*z, 3*z + 4*d + 3 = 3*d. Let g be (-3 - -3) + 2 + z. Find i, given that 4/9*i**2 - 4/9*i**4 - 2/3*i**5 + 8/9*i**3 - 2/9*i + g = 0.
-1, 0, 1/3, 1
Let j(r) = 35*r**2 + 40*r + 156. Let o(h) = -26*h**2 - 39*h - 157. Let q(k) = -9*j(k) - 12*o(k). Factor q(c).
-3*(c - 40)*(c + 4)
Let b(j) be the first derivative of -72/7*j - 32 - 1/7*j**3 + 75/14*j**2. Suppose b(d) = 0. What is d?
1, 24
Let t = -443 - -447. Factor -t*b**2 + 111*b + 8 + 0 - 57*b - 50*b.
-4*(b - 2)*(b + 1)
Let w(t) be the first derivative of t**3 - 339*t**2/2 + 336*t - 888. Find c, given that w(c) = 0.
1, 112
Let w(x) = x**3 - 14*x**2 + 3. Let y(v) = 4*v**3 - 108*v**2 + 424*v - 538. Let h(o) = 2*w(o) - y(o). Factor h(c).
-2*(c - 34)*(c - 4)*(c - 2)
Factor -12082*z + 5187*z - 8773706 + 17397882 + 2*z**2 + 17526736 - 7569*z.
2*(z - 3616)**2
Let z(b) be the third derivative of b**6/720 + 29*b**5/360 + 5*b**4/9 + 13*b**3/9 - 539*b**2. Let z(w) = 0. What is w?
-26, -2, -1
Let h = -95 + 90. Let m be 8 + (-4 - h/5). Solve -3*c - 2*c - m*c**2 - 5*c + 0*c**2 = 0.
-2, 0
Let -749*n**3 + 1032 + 230*n - 46*n + 5551*n**3 - 992 + 24402*n**2 + 1784*n = 0. Calculate n.
-5, -2/49
Let x(f) = -117*f**2 - 9820*f + 2174. Let z(a) = -90*a**2 - 9820*a + 2175. Let b(w) = 5*x(w) - 6*z(w). Factor b(l).
-5*(l - 218)*(9*l - 2)
Let y(s) be the first derivative of -2*s**5/45 + 5*s**4/9 - 14*s**3/9 - 3797. Factor y(h).
-2*h**2*(h - 7)*(h - 3)/9
Factor 432 - 68*z**3 + 23/3*z**4 - 1/3*z**5 + 288*z**2 - 576*z.
-(z - 6)**3*(z - 3)*(z - 2)/3
Let g = -94588 - -94592. Factor -40/3*b**2 - 2/9*b**g + 250/9 - 28/9*b**3 - 100/9*b.
-2*(b - 1)*(b + 5)**3/9
Factor -9*c**3 + 3224 + 909*c**2 - 4*c**3 + 155*c**2 + 14*c**3 - 254*c**2 + 3228*c.
(c + 2)**2*(c + 806)
Let m(x) be the third derivative of -143/6*x**4 + 32*x - 1/30*x**6 + 3*x**2 + 23/15*x**5 + 0 + 242/3*x**3. Determine d, given that m(d) = 0.
1, 11
Let s be 52/12 - (21/9 - 2). Let v(k) be the second derivative of -49/13*k**s - 2401/13*k**2 - 1/195*k**6 + 8*k + 1372/39*k**3 + 14/65*k**5 + 0. Factor v(q).
-2*(q - 7)**4/13
Let l(j) = j**5 - 2*j**4 + 11*j**2. Let w(t) = 24*t**4 - 166*t**3 + 431*t**2 - 441*t + 162. Let v(b) = 5*l(b) - 5*w(b). Suppose v(x) = 0. Calculate x.
1, 3, 18
Let l(z) = z**2 - 5. Let t be l(-3). Find j, given that 130*j**2 + 20*j**t + 265*j**3 + 335*j + 45 + 71*j**2 + 10 + 324*j**2 = 0.
-11, -1, -1/4
Suppose -y + 3*d = 3*y + 87, 0 = 3*y + 2*d + 44. Let c be (3*y/(-14))/(3 + -2). Determine u, given that -3/7*u**3 + 0 + 3*u**2 - 45/7*u**4 - c*u**5 + 6/7*u = 0.
-1, -1/3, 0, 2/3
Factor 2/11*d**3 + 0 + 67712/11*d - 736/11*d**2.
2*d*(d - 184)**2/11
Let p = -1/149614 + 149617/448842. Factor 0 - 16/3*o**2 + 17/3*o**3 + 0*o - p*o**4.
-o**2*(o - 16)*(o - 1)/3
Let r(g) be the third derivative of g**7/70 + g**6/8 - 3*g**5/10 + 8*g**2 + 172*g. Suppose r(v) = 0. Calculate v.
-6, 0, 1
Factor -1916280 + 24*u**4 - 3*u**5 + 99*u**3 + 1916280.
-3*u**3*(u - 11)*(u + 3)
Let u(q) = q**3 - 21*q**2 + 12*q - 21. Let v(g) = -3*g - 1. Let w(h) = u(h) - 3*v(h). Let z be w(20). Factor -4/5 + 2*r**z - 6/5*r.
2*(r - 1)*(5*r + 2)/5
Suppose -5*d = 5*i - d - 29, 0 = i - 2*d - 3. Factor 33*h**2 + 28*h**4 + 24*h**4 - 37*h**2 + 20*h**i + 36*h**3 - 9*h + h.
4*h*(h + 1)**3*(5*h - 2)
Solve -1717*m - 2948089/2 - 1/2*m**2 = 0.
-1717
Let r be ((-1 - -2) + 3/(-9))*3. Factor 0*i**2 + 0*i**2 - 2*i**2 + 20 + i**r + 19*i.
-(i - 20)*(i + 1)
Let n = 23096/1803 - 2490/601. Factor -1/3*o**2 - 169/3 + n*o.
-(o - 13)**2/3
Let l(w) be the second derivative of -w**9/7560 + w**8/1120 - w**7/630 + 31*w**4/4 + 145*w. Let f(p) be the third derivative of l(p). Factor f(k).
-2*k**2*(k - 2)*(k - 1)
Let o be (-4*1)/(3*5/(-30)). Factor -26 - 7*z - 18*z - o*z**2 + 16*z**2 - 7*z**2.
(z - 26)*(z + 1)
Let m be ((-3685)/(-10) + -6)*-2. Let x = -3607/5 - m. Determine h, given that 26/5*h**2 - 32/5*h**4 - x*h**3 + 26/5*h + 6/5 - 8/5*h**5 = 0.
-3, -1, -1/2, 1
Let l = -32 - -36. Suppose l*f - 28 = -3*f. Solve -8*u**4 + 9*u**f - u**2 - u**3 + 4*u**5 - 3*u**5 + 0*u**3 = 0.
-1, 0, 1
Let x be 20/35 - (-62)/14. Factor 233*b**x - 361*b**2 - 232*b**5 + 33*b**4 + 323*b**3 + 4*b**4.
b**2*(b - 1)*(b + 19)**2
Let t be -7 + 0 + ((-6825)/(-39))/25. Let x(h) be the third derivative of -15*h**2 + 1/4*h**4 + 0*h**3 - 1/15*h**5 - 1/60*h**6 + t + 0*h. Factor x(y).
-2*y*(y - 1)*(y + 3)
Let x(v) be the second derivative of -v**6/50 + 21*v**5/100 - v**4/5 - 6*v**3/5 + 136*v + 5. Find f such that x(f) = 0.
-1, 0, 2, 6
Let r(c) be the second derivative of c**7/147 + 16*c**6/105 + 9*c**5/10 + 46*c**4/21 + 44*c**3/21 + 3612*c. What is l in r(l) = 0?
-11, -2, -1, 0
Let k be (-2)/4 + 91/14. Factor -16*c - 4*c**3 - 22 - 16*c - 10*c**2 - 10*c**2 + k.
-4*(c + 1)*(c + 2)**2
Factor 41140 + 23270 - 8892*h - 1329*h**2 + 2*h**3 + h**3 + 155412*h + 83442.
3*(h - 222)**2*(h + 1)
Suppose 4*z = -0*z + 12. Suppose 2*y = -5*m - 15, 4*y + 2*m = 6 + 4. What is c in -15*c**z - 22 + 15*c + 5*c**4 + 7 + 5*c**2 + y = 0?
-1, 1, 2
Let v(m) = m - m**2 - 2*m + 2*m + 2*m**2. Let z(j) = -12*j**2 + 2*j. Let h be (-248)/93*6/8. Let b(y) = h*v(y) - z(y). Find w such that b(w) = 0.
0, 2/5
Let d(m) be the third derivative of m**7/420 - 7*m**6/540 + m**5/45 + 5*m**3/3 - 38*m**2. Let x(n) be the first derivative of d(n). Factor x(v).
2*v*(v - 1)*(3*v - 4)/3
Let d be -4 + 4/3*336/32. Let f = 12 - d. Factor -102*u**2 - 4*u + 107*u**f + 9*u.
5*u*(u + 1)
Factor -16/7*d + 48/7 + 4/7*d**3 - 12/7*d**2.
4*(d - 3)*(d - 2)*(d + 2)/7
Let s be (-2 - 21/(-6))*6. Suppose -8*c + s*c = 3. Factor -4*r**c + 2*r**3 + 9 - 1 + 8*r - 2*r**2.
-2*(r - 2)*(r + 1)*(r + 2)
Let g(v) = -3*v**3 - 218*v**2 + 91*v + 1317. Let z be g(-73). Factor -4/5*h**2 + 1/5*h**z + 1/5*h + 6/5.
(h - 3)*(h - 2)*(h + 1)/5
Suppose 3*l + 35 = 4*q, 2*q + 4*l = 5*l + 17. Suppose -3*c + 7 = 5*d, -5*d + q = 4*c - 3. Factor 7 + 3*h**2 - 3 - 2*h**2 - c*h.
(h - 2)**2
Let m = -253213/2 + 126612. What is f in 10*f - m*f**2 - 3*f**3 - 3/2 = 0?
-3, 1/6, 1
Let i be (10/4)/(15/18). Factor -4*t**2 + 9873*t**3 - 4936*t**3 + 9*t**2 + i - 4938*t**3 - 7*t.
-(t - 3)*(t - 1)**2
Let v = 41753/5 - 8347. Suppose -4*r - 2*f = f - 9, -4*r = f - 11. Find n, given that 8 + 48/5*n + v*n**2 + 2/5*n**r = 0.
-5, -2
Suppose -2*g + 4*r - 8*r = -24, 0 = -g + r + 9. Let m(l) be the first derivative of g + 1/4*l + 1/12*l**3 - 1/4*l**2. Solve m(f) = 0.
1
Let j be ((-457)/(-7))/(32/224). Let f = j - 455. Find d, given that 1/2*d**4 + 8*d + 4*d**f - 7/2*d**3 + 0 = 0.
-1, 0, 4
Determine o, given that 2/15*o**2 + 32/15*o + 26/5 = 0.
-13, -3
Suppose -1/5*n**4 + 1274/5 - 39/5*n**3 - 373/5*n**2 - 861/5*n = 0. What is n?
-26, -7, 1
Let i be ((-2)/15 - 947/(-15)) + 0. Let a be 3/(-54)*-4 - (-22)/i. Solve -4/7*k**3 - a*k**2 + 4/7*k + 4/7 = 0 for k.
-1, 1
Let s(r) be the third derivative of r**6/120 + 19*r**5/12 + 75*r**4/4 - 4173*r**2. Factor s(l).
l*(l + 5)*(l + 90)
Let z(o) be the third derivative of 0*o + 0*o**3 - 1/240*o**5 + 65*o**2 + 0 - 1/48*o**4 + 1/480*o**6. Factor z(s).
s*(s - 2)*(s + 1)/4
Let r(o) be the first derivative of 2/3*o**3 - 119 - 1/5*o**5 - 1/8*o**4 + 1/8*o**2 + 1/24*o**6 - o. Solve r(x) = 0.
-1, 1, 4
Let q = -3391 + 3391. Let z(g) be the second derivative of 