 2/3
Let c be (-21 - 3)*150/(-20). Suppose 16 = c*w - 172*w. Determine r so that 3/2*r**w + 24 + 12*r = 0.
-4
Let m be ((-192)/(-144))/(5/35 + (-20)/(-105)). Factor -4/3*w - 4*w**m + 0 - 28/3*w**3 - 20/3*w**2.
-4*w*(w + 1)**2*(3*w + 1)/3
Let n = 143760 - 143755. Let -4/5*q**2 + 2/5*q**3 - 2/5*q**n + 4/5*q**4 + 0*q + 0 = 0. What is q?
-1, 0, 1, 2
Suppose 0 = -3*h + 5*f + 19 + 7, 14 = -3*h - 5*f. Factor -4*o**3 - 44*o - 20 - 44*o**h + 0*o**2 + 16*o**2.
-4*(o + 1)**2*(o + 5)
Let y(x) be the first derivative of -326*x**3/9 - 166*x**2/3 - 2*x + 4977. Factor y(l).
-2*(l + 1)*(163*l + 3)/3
Let u(j) = -j + 11. Let b be u(-16). Factor 27 + 24*w - 42*w + w**2 - b.
w*(w - 18)
Suppose 326*u - 64 = 626*u - 332*u. Solve 18/5*x - 8/5 - u*x**2 = 0.
4/5, 1
Let q(v) be the third derivative of 1/4*v**4 + 0*v + 3/2*v**3 - 129*v**2 - 1/20*v**5 + 0. Find c, given that q(c) = 0.
-1, 3
Let g be 4/(-6)*(-10 + (-22)/(-4)). Suppose -12*c = -18*c + 12. Factor 0*h + 8/3*h**g + 0 - 5/3*h**4 - 4/3*h**c + 1/3*h**5.
h**2*(h - 2)**2*(h - 1)/3
Let y be (-10)/(-2)*(-25 - (12 - 6)). Let t be 1/(-8 - y/10). Factor 0 + t*r - 2/15*r**2.
-2*r*(r - 1)/15
Let d be ((-33)/(-33))/(2/(-6)). Let z(k) = 4*k**3 + k**2 + 3*k. Let y(h) = 4*h**3 + 2*h**2 + 2*h. Let c(n) = d*y(n) + 2*z(n). Factor c(s).
-4*s**2*(s + 1)
Let z be 9 - 4 - (-568)/8. Suppose 196*f**2 + 23*f - z + 203*f**2 - 403*f**2 + 57*f = 0. Calculate f.
1, 19
Let a(i) = i**3 + 5*i**2 - 19*i - 17. Let n be a(-7). Let -135 - n*o**2 + 2*o**3 + 280 - 145 = 0. Calculate o.
0, 9
Let s be (2/5)/(-1 + 18/15). Factor 93*j + 8*j**2 - 214*j + 225 + 41*j**s - 89*j.
(7*j - 15)**2
Let i(t) = -104*t + 105*t + 38*t**2 - 40*t**2. Let z(b) = -42*b**2 - 464*b - 1058. Let w(k) = 4*i(k) + z(k). Factor w(d).
-2*(5*d + 23)**2
Let j(t) be the second derivative of t**8/10080 + t**7/3780 - t**4 - 3*t - 34. Let c(b) be the third derivative of j(b). Factor c(v).
2*v**2*(v + 1)/3
Let x(s) = 18*s - 2. Let k be (225/(-125))/((-6)/10). Let v(g) = -2*g**2 - 17*g + 3. Let u(f) = k*x(f) + 2*v(f). Factor u(l).
-4*l*(l - 5)
Factor -39*t**2 + 8*t**2 - 9*t**2 + 672 - 434 + t**3 + 197*t.
(t - 34)*(t - 7)*(t + 1)
Let y = 2798/12793 - -380/1163. Solve 13/11*l + 1/11*l**3 - 8/11*l**2 - y = 0 for l.
1, 6
Let p(l) be the first derivative of -4*l**4/5 + 28*l**3/3 - 62*l**2/5 - 50. Solve p(x) = 0 for x.
0, 1, 31/4
Suppose -3*o = 3 - 0, 0 = w + o - 440. Let v = w - 439. Determine r so that -4/5*r + 2/5*r**v + 0 = 0.
0, 2
Let d(w) = -w. Let r(f) = -f**2 + 5*f - 15. Let x be ((-44)/(-8) - 3)*(-24)/20. Let g(n) = x*d(n) + r(n). Factor g(s).
-(s - 5)*(s - 3)
Suppose 0 - 154/3*h + 2/3*h**2 = 0. What is h?
0, 77
Let c(a) be the second derivative of -a**4/3 + 182*a**3/3 + 74*a. Let c(y) = 0. What is y?
0, 91
Let l = 3045744/44233 - -2/6319. Let a = 72 - l. Find b, given that -a*b + 8/7*b**2 - 6/7 = 0.
-1/4, 3
Let h(g) be the second derivative of g**5/5 - 13*g**4/3 - 40*g**3/3 + 168*g**2 + 2926*g. Factor h(s).
4*(s - 14)*(s - 2)*(s + 3)
Suppose 192 - 32*u + 1/4*u**3 - u**2 = 0. Calculate u.
-12, 8
Let t be (1 - -2)*(-4)/(-6). Let p = 597452 - 597449. Determine y, given that -1/4*y**p + 0*y**t + 1/2*y**4 + 0 + 0*y - 1/4*y**5 = 0.
0, 1
Suppose 0 = 5*w + 32 - 382. Let f = -68 + w. Factor 11*d**f - 5*d**4 + 4*d**2 + 4*d**2 + 10*d - 4*d**2.
-5*d*(d - 2)*(d + 1)**2
Let b(h) be the first derivative of 2*h**3/9 - 214*h**2 - 1286*h/3 + 4727. Determine s so that b(s) = 0.
-1, 643
Let m(u) be the third derivative of -5*u**8/672 - u**7/21 + 13*u**6/48 + 7*u**5/6 - 25*u**4/4 - u**2 + 1332*u. Let m(c) = 0. Calculate c.
-5, -3, 0, 2
Let q be ((-22)/(-143))/(3360/364). Let k(l) be the third derivative of 17*l**2 - 1/24*l**4 + 0*l - 1/6*l**3 + 0 + q*l**5 + 1/120*l**6. Factor k(h).
(h - 1)*(h + 1)**2
Let s(n) = -n**3 - 28*n**2 - 82*n - 175. Let p be s(-25). Let b(q) be the second derivative of p - 9/2*q**2 - 4*q + 1/3*q**4 - 35/6*q**3. Factor b(g).
(g - 9)*(4*g + 1)
Solve 2/7*i**2 - 510/7 + 508/7*i = 0.
-255, 1
Suppose -2*c + 24 = 3*s, 0 = -3*s + 18*c - 19*c + 15. What is r in 3/4*r**s - 15/4*r + 0 = 0?
0, 5
Let f = -799 + 507. Let b = -292 - f. Determine o so that 3/4*o**3 + b*o**4 + 0 + 0*o - 1/4*o**5 + 1/2*o**2 = 0.
-1, 0, 2
Let x(b) be the second derivative of 7/40*b**5 - 1/48*b**6 + 1/6*b**3 - 252*b + 0 + 3/4*b**2 - 43/96*b**4. Determine m, given that x(m) = 0.
-2/5, 1, 2, 3
Find l, given that 216 + 2*l**2 - 766 - 85*l + 3*l**2 = 0.
-5, 22
Let m(p) be the second derivative of p**4/18 + 25*p**3/36 + p**2/2 - 639*p. Determine t so that m(t) = 0.
-6, -1/4
Find c such that 7197218/9 + 2/9*c**2 + 7588/9*c = 0.
-1897
Suppose -x + 4*r - 2 = 12, -15 = -3*r. Factor 1/4*o**3 + 11/4*o**2 + x*o - 9.
(o - 1)*(o + 6)**2/4
Suppose 6 = 3*m - 0*m. Factor -90*f**m - 81 - 280 - 279 + 5*f**3 + 480*f.
5*(f - 8)**2*(f - 2)
Suppose -16 - 2 = 3*d. Let m be ((-9)/d)/((-1)/(8/(-3))). Determine l, given that l**2 + 40 - 14*l + m*l**2 + 9 - 4*l**2 = 0.
7
Let u(a) be the third derivative of a**8/90720 - a**7/567 + 10*a**6/81 - a**5/60 - a**3/6 - 94*a**2. Let p(j) be the third derivative of u(j). Factor p(i).
2*(i - 20)**2/9
Let o = -301 - -317. Let x(i) be the first derivative of -o - 4/3*i**3 + 2/5*i**5 - i**2 + 2*i - 1/3*i**6 + i**4. Solve x(n) = 0 for n.
-1, 1
Let c(a) be the first derivative of 2*a**5/25 + 1001*a**4/10 + 3998*a**3/15 + 999*a**2/5 + 11123. Factor c(i).
2*i*(i + 1)**2*(i + 999)/5
Let i(s) = 45 + 1047*s - 1055*s + 75. Let z be i(15). Solve 0*m + z + 27/4*m**3 + 3/4*m**5 + 3*m**2 + 9/2*m**4 = 0 for m.
-4, -1, 0
Let b = 66 + -64. Suppose -3*w = 2*w - 10. Factor 28*m**2 - 24*m**w + 26*m**2 + 17*m**4 - 3*m**5 - b*m**4 - 30*m**3 + 3 - 15*m.
-3*(m - 1)**5
Suppose -33 = -5*l - 3*h + 34, -3*l - 3*h = -39. Suppose 10*g - 6 - l = 0. Let -8/9*r + 1/9*r**g + 16/9 = 0. Calculate r.
4
Let x(s) be the first derivative of -3*s**7/70 + 2*s**6/5 + 13*s**5/20 - 3*s**4/4 + 15*s**2/2 - 15. Let g(p) be the second derivative of x(p). Factor g(v).
-3*v*(v - 6)*(v + 1)*(3*v - 1)
Let j(u) be the first derivative of -u**6/14 + 3*u**5/35 + 51*u**4/14 - 64*u**3/7 - 144*u**2/7 - 11820. Suppose j(w) = 0. Calculate w.
-6, -1, 0, 4
Let l = 2217/2 - 4077/4. Let o = l - 1781/20. Suppose 0*q**2 + 0 - o*q + 1/5*q**3 = 0. What is q?
-1, 0, 1
Suppose 37*g - 37 = -23 + 60. Let z(j) be the first derivative of -8/3*j**3 - 22 + 6*j - j**4 + g*j**2 + 2/5*j**5. Determine b, given that z(b) = 0.
-1, 1, 3
Let b(m) be the third derivative of -46*m**2 + 5/168*m**8 + 1/15*m**6 + 0*m + 0 + 0*m**4 - 4/35*m**7 + 0*m**3 + 0*m**5. Determine t so that b(t) = 0.
0, 2/5, 2
Let u(l) be the second derivative of 0 + 1/15*l**6 - 16/21*l**4 - 1/147*l**7 - 138*l + 0*l**2 - 3/35*l**5 + 32/21*l**3. What is o in u(o) = 0?
-2, 0, 1, 4
Let u = -951/13 + 1023/13. Let d(o) be the third derivative of 5*o**2 + 1/780*o**6 + u*o**3 + 0*o + 0 + 3/65*o**5 + 9/13*o**4. Let d(a) = 0. Calculate a.
-6
Let z = -160154 - -160157. Let 343/9*f**z - 245*f**2 + 525*f - 375 = 0. What is f?
15/7
Let l(a) be the second derivative of 3*a**5/100 - 19*a**4/5 + 962*a**3/5 - 24336*a**2/5 + 4881*a + 2. Determine o so that l(o) = 0.
24, 26
Let f be (-18)/6*5/(-15)*2. Factor w**f + 37 + 2*w**2 - 2*w**2 + 1050*w - 1088*w.
(w - 37)*(w - 1)
Let o(n) be the third derivative of -7/240*n**5 - 1/80*n**6 + 0*n**4 + 0 + 54*n**2 + 0*n**3 + 1/840*n**7 + 0*n. Factor o(h).
h**2*(h - 7)*(h + 1)/4
Let w(o) be the second derivative of 3*o**5/140 - 5*o**4/14 + 31*o**3/14 - 45*o**2/7 + 16*o + 114. Factor w(r).
3*(r - 5)*(r - 3)*(r - 2)/7
Factor -16/3*z**3 + 16/3*z + 5 - 1/3*z**4 - 14/3*z**2.
-(z - 1)*(z + 1)**2*(z + 15)/3
Suppose 9372*h + 5015 = 10375*h. Solve 1/3*t**2 + h*t + 14/3 = 0.
-14, -1
Suppose -v - 4*c - 13 = 0, -4*v + c = -14 - 2. Let g(d) be the first derivative of 0*d**2 + 2/21*d**v + 13 - 2/7*d. Find j, given that g(j) = 0.
-1, 1
Suppose -3907*q = -3911*q + z + 29, -q - 4*z - 82 = 0. Suppose 1/5*w**3 + 4*w + 0 - 9/5*w**q = 0. What is w?
0, 4, 5
Factor 80656/3 + 568/3*y + 1/3*y**2.
(y + 284)**2/3
Suppose q + 5 = -2*n, 20 - 35 = n + 3*q. Suppose 6*c = 6 - 6. Factor 0*f**3 + n + 0*f + 2/5*f**4 + c*f**2 - 2/5*f**5.
-2*f**4*(f - 1)/5
Let q = 2597 - 2594. Let a(s) be the third derivative of -1/90*s**5 + 0 + 8/9*s**q - 23*s**2 - 1/18*s**4 + 0*s. Let a(k) = 0. Calculate k.
-4, 2
Factor b - 216 - 40*b**2 - 4*b**3 