tor 2/3*g**2 + 124/3*g + 464/3.
2*(g + 4)*(g + 58)/3
Let r be 16/24 - 4/18*3. Suppose -4*q - z - 2*z + 21 = r, 5*z - 15 = 0. Factor 15*x**2 + 6*x**q - 27*x**3 + 12*x**3 - 6*x.
-3*x*(x - 1)*(3*x - 2)
Let k(n) be the first derivative of -n**3/12 + 33*n**2/2 + 133*n/4 + 1961. Solve k(d) = 0.
-1, 133
Suppose -5*m - 5*l + 18 + 12 = 0, -3*m + 3*l = 6. Let q be (-122)/(-8) - ((-95)/20 + 5). Determine h so that 7*h + 6*h + q*h - 3*h**m - h**2 = 0.
0, 7
What is r in -40*r**3 + 74*r**2 + 26*r**3 - 45 - 104*r + 69 = 0?
2/7, 2, 3
Solve -14*x**3 - 38*x**3 + 17*x**4 + 44*x + 4*x**4 + 12*x**3 - 4*x**5 + 3*x**4 - 24 = 0.
-1, 1, 2, 3
Let a(w) be the second derivative of w**4/10 + 101*w**3/2 + 378*w**2/5 + 534*w. Find i, given that a(i) = 0.
-252, -1/2
Let o(q) be the second derivative of 1/180*q**5 + 0 + 2/9*q**3 + 5/72*q**4 + 13*q**2 + 22*q. Let m(z) be the first derivative of o(z). Factor m(f).
(f + 1)*(f + 4)/3
Factor -508*k + 2260*k - 632*k + 723992 + 5*k**2 + 723228 + 4260*k.
5*(k + 538)**2
Let z(g) = -g**3 + 1269*g**2 - 36389*g + 337486. Let k(d) = 845*d**2 - 24260*d + 224990. Let a(w) = -7*k(w) + 5*z(w). What is m in a(m) = 0?
25, 36
Factor 21*g**3 - 63*g**2 - 42*g + 88*g**2 + 98*g**2 - 123*g + 21 + 0*g.
3*(g - 1)*(g + 7)*(7*g - 1)
Let s(m) = 29*m**3 - 1457*m**2 + 267910*m + 269369. Let b(c) = 3*c**3 + c**2 - 1. Let j(q) = -9*b(q) + s(q). Let j(k) = 0. Calculate k.
-1, 367
Let o(a) = 16*a**3 + 544*a**2 + 1180*a - 1728. Let s(n) = -n**3 + 3*n**2 - 4*n + 1. Let i(m) = o(m) + 12*s(m). Factor i(w).
4*(w - 1)*(w + 3)*(w + 143)
Let t = -120 + 72. Let p = t + 50. Factor -3*l**p + 20*l - 16 + 22*l**2 + 6*l**2 - 10*l**3 + 1.
-5*(l - 3)*(l + 1)*(2*l - 1)
Let y(g) be the first derivative of -250/7*g + 2/35*g**5 + 40/7*g**3 - 208 - g**4 - 50/7*g**2. Let y(l) = 0. What is l?
-1, 5
Let u be (-36)/78*(-2457)/567. Suppose -20/3*v**2 - u*v**3 + 46/9*v - 8/9 = 0. What is v?
-4, 1/3
Let k be (192/30)/((-78)/(-15)). Suppose 0 + 40/13*b - 2/13*b**5 + 8/13*b**2 - k*b**4 - 30/13*b**3 = 0. What is b?
-5, -2, 0, 1
Let a(r) be the second derivative of -r**5/70 - r**4/42 + 2*r**3/3 + 24*r**2/7 - 1326*r. Factor a(u).
-2*(u - 4)*(u + 2)*(u + 3)/7
Let r(z) be the second derivative of 4*z**6/135 - 23*z**5/90 - 41*z**4/27 + 77*z**3/27 + 8*z**2/3 - 4*z + 28. Suppose r(n) = 0. Calculate n.
-3, -1/4, 1, 8
Let h(m) = m**3 + 5*m**2 - 6*m + 4. Let n be h(-6). Let p = -504 + 524. Factor -n - 36 - 10 - 2*k**2 - p*k.
-2*(k + 5)**2
Suppose -7/3*m**4 + 655/3*m**2 + 0 - 163/3*m**3 - 200/3*m + m**5 = 0. Calculate m.
-8, 0, 1/3, 5
Suppose -40 - 9 - 47 = -2212*x + 2180*x. Factor 54/7*h**2 + 0 - 2/7*h**4 + 108/7*h + 0*h**x.
-2*h*(h - 6)*(h + 3)**2/7
Let t(u) be the first derivative of u**4/14 + 3110*u**3/21 - 3113*u**2/7 + 3114*u/7 + 7724. Factor t(q).
2*(q - 1)**2*(q + 1557)/7
Let l(s) be the first derivative of -s**6/150 - s**5/25 - s**4/20 + 2*s**3/15 + 2*s**2/5 - 73*s - 185. Let v(o) be the first derivative of l(o). Factor v(n).
-(n - 1)*(n + 1)*(n + 2)**2/5
Let y be (-11084)/41565*(-15)/4*2. Factor 16 + 14/3*i + 1/3*i**y.
(i + 6)*(i + 8)/3
Let q be 121/(-1*(-2)/18). Let v = q + -5373/5. Solve 24/5*s + 2/5*s**2 + v = 0.
-6
Suppose 32/11*m + 4/11*m**3 + 14/11 + 2*m**2 = 0. Calculate m.
-7/2, -1
Let n = -4 + 7. Let v(r) = r**2 - 4. Let y be v(n). What is h in -10*h**2 + 3*h**2 + 3*h**2 + h - y*h = 0?
-1, 0
Let y(f) = -2*f**2 + 18*f + 24. Let s be 17/(-85) - 204/(-20). Let x be y(s). What is u in 1 + u**3 - 3/4*u**2 - u - 1/4*u**x = 0?
-1, 1, 2
Suppose 0 = 4*o + 3*u + 7, -15 = 5*o - 35*u + 40*u. Solve 0 - 4/9*d - 8/9*d**3 + 2*d**o = 0.
0, 1/4, 2
Factor 0 - 3*w**2 - 3/2*w**4 - 8*w + 25/2*w**3.
-w*(w - 8)*(w - 1)*(3*w + 2)/2
Let m(u) = u**2 - 55*u + 173. Let v be m(3). Suppose 2*y = n + 5, y - v = 4*n - 18. Factor 0 + 4/5*c**4 - 2/5*c**y - 6/5*c**2 + 0*c.
2*c**2*(c + 1)*(2*c - 3)/5
Suppose -3*t - 3 = -2*d, 98 = 4*t + 10*d + 26. Factor 4/3*v**t + 4/3*v + 2*v**2 + 1/3*v**4 + 1/3.
(v + 1)**4/3
Let m(y) = y**2 + 14*y + 3. Let x be m(-14). Let 7 + 143*t**x + 2*t**2 + 13*t + 3 - 144*t**3 = 0. What is t?
-2, -1, 5
Let q(b) be the first derivative of 24*b + 33/16*b**4 + 21/2*b**3 + 3/20*b**5 + 3 + 24*b**2. Determine z, given that q(z) = 0.
-4, -2, -1
Let r = 49/33051 + 32953/66102. Factor 0 + 17/2*a - r*a**2.
-a*(a - 17)/2
Find a, given that 14/13*a**3 - 54/13*a - 20/13 + 60/13*a**2 = 0.
-5, -2/7, 1
Suppose -70*k + 118 = -92. Let h(l) be the first derivative of -1/2*l**4 + 0*l**k - 29 + 4/5*l**5 + 0*l + 0*l**2. Let h(r) = 0. Calculate r.
0, 1/2
Let i(v) = v**3 + 5*v**2 - v + 1. Let w be i(-4). Let o be (5/(-2))/5 + w/18. Factor 0*x + 0*x**2 + 0*x**4 - 2/3*x**5 + 0 + o*x**3.
-2*x**3*(x - 1)*(x + 1)/3
Let d(i) be the third derivative of 3*i**8/392 + 26*i**7/245 + 241*i**6/420 + 52*i**5/35 + 12*i**4/7 + 18*i**2 + 5*i. Find z, given that d(z) = 0.
-3, -4/3, 0
Let x(s) = 25*s**4 - 9*s**3 - 25*s**2 + 9*s. Let p(f) = -24*f**2 + 27*f**2 + f**3 - f - 4*f**4 + 0*f + f**4. Let h(g) = -51*p(g) - 6*x(g). Factor h(j).
3*j*(j - 1)*(j + 1)**2
Let z be -6 + (-560)/(-98) + (10 + 5 + -3)/14. Let z*h**2 + 76/7 - 80/7*h = 0. What is h?
1, 19
Let p be 12 - 3/3*-3. Let r(g) be the first derivative of p + 1/4*g**2 + 1/3*g + 1/18*g**3. Factor r(u).
(u + 1)*(u + 2)/6
Suppose 0 = 5*c - 471 - 244. Factor 1 - 142*v**2 + c*v**2 + 0*v + 2*v.
(v + 1)**2
Let r(d) be the first derivative of 1/4*d**3 + 242 + 21/4*d - 3*d**2. Factor r(m).
3*(m - 7)*(m - 1)/4
Let u(z) be the third derivative of -1/60*z**5 + 1/4*z**3 + 1/96*z**4 + 0 - 82*z**2 + 0*z + 1/480*z**6. Let u(s) = 0. What is s?
-1, 2, 3
Let w(y) be the second derivative of y**7/630 + 11*y**6/180 - 2*y**5/5 + 81*y**4/4 + 5*y - 5. Let h(q) be the third derivative of w(q). Factor h(x).
4*(x - 1)*(x + 12)
Suppose 602*r = -189*r - 34*r + 4950. Factor r*k**2 - 3/2*k**3 + 3/2*k - 6.
-3*(k - 4)*(k - 1)*(k + 1)/2
Let l(x) = -40*x - 38. Suppose 17 = -64*m + 47*m. Let v be l(m). Factor 20/9*o**v + 76/9*o - 16/9.
4*(o + 4)*(5*o - 1)/9
Let c(z) be the first derivative of -24 + 112*z + 32*z**2 + 4/3*z**3. Factor c(w).
4*(w + 2)*(w + 14)
Let u(o) be the second derivative of 13/3*o**5 - 10/9*o**6 + 0 - 7/3*o**4 - 34/9*o**3 - 4/3*o**2 + 114*o. Find p, given that u(p) = 0.
-1/5, 1, 2
Let u be (-8 + (-594)/(-72))/(2/12). Let y be (-9)/(-21) - (-18)/(-42) - -2. Factor -1/6*m**y - u + 5/3*m.
-(m - 9)*(m - 1)/6
Let u(p) be the first derivative of p**5/80 + p**4/16 - 3*p**3/8 + 2*p**2 + 4*p - 13. Let g(i) be the second derivative of u(i). Factor g(s).
3*(s - 1)*(s + 3)/4
Let d(c) be the third derivative of -c**5/20 + 247*c**4/8 - 123*c**3 - 2*c**2 + 3*c + 16. Factor d(s).
-3*(s - 246)*(s - 1)
Let k(y) be the third derivative of -1805/6*y**3 - 1/12*y**5 - 95/12*y**4 + 0 + 78*y**2 + 0*y. Factor k(x).
-5*(x + 19)**2
Let w(x) be the first derivative of -x**5/10 + 37*x**4/8 + 235*x**3/2 + 3775*x**2/4 + 3250*x + 1587. Factor w(s).
-(s - 52)*(s + 5)**3/2
Let n be (-1 + 4)/(-7 - 117/(-18)). Let i(z) = 10*z + 64. Let b be i(n). Factor -88/5*l - 46/5*l**3 + 92/5*l**2 + 32/5 + 11/5*l**b - 1/5*l**5.
-(l - 4)*(l - 2)**3*(l - 1)/5
Let o(z) = 28*z + 32*z + 49 - 62*z. Let r be o(23). Solve 4*m**4 - 7*m**r + 20*m**2 + 31*m**3 - 4*m**5 - 20*m**2 = 0.
-2, 0, 3
Suppose 224 - 222 = m. Factor -3*q**m + 24*q - 2311 + 2311.
-3*q*(q - 8)
Let z be (-9)/(-4) + (-14)/560*10. Let x = 643/581 - -3/83. Find l, given that x + 12/7*l + 4/7*l**z = 0.
-2, -1
Let h(u) be the second derivative of -u**6/10 + 9*u**5 - 29*u**4 + 5607*u. Factor h(a).
-3*a**2*(a - 58)*(a - 2)
Suppose 0*x = -2*x + 106. Suppose 313*f - 309*f = w + 23, -2*w - 26 = -3*f. Solve -53*k**4 + 274*k - f + 4*k**4 - 274*k + x*k**2 = 0 for k.
-1, -2/7, 2/7, 1
Let x(a) be the second derivative of 1/30*a**6 + 80 - 3*a - 9/140*a**5 - 1/12*a**4 + 0*a**2 + 1/98*a**7 + 1/7*a**3. Solve x(d) = 0.
-3, -1, 0, 2/3, 1
Let g be ((-4)/(-6))/(1/1). Suppose -153 + 83 = -63*x - 70. Let 1/3*r**4 - 2/3*r**3 + x*r**2 - 1/3 + g*r = 0. What is r?
-1, 1
Let b(i) = -i**2 - 45*i + 2578. Let t be b(33). Let d(j) be the second derivative of 0*j**2 + 3/2*j**5 + 10/3*j**t + 1/6*j**6 + 12*j + 0*j**3 + 0. Factor d(o).
5*o**2*(o + 2)*(o + 4)
Let g(f) = -2*f + 26. Let w be g(9). Let y be 431/4 - (-6)/24. Factor -2*v**2 - 132*v + y*v + 10*v**3 - w - 4*v**2.
2*(v - 2)*(v + 1)*(5*v + 2)
Let f(w) be the first de