et k(r) = -5*d(r) - 3*h(r). Factor k(l).
-(l - 1)*(l + 1)**3
Let n be (21/4)/(91/52). Suppose -4*b = -8, 0 = -2*m - m + n*b + 3. Factor 20/9*t**2 + 0 - 50/9*t - 2/9*t**m.
-2*t*(t - 5)**2/9
Let l = -1109 + 1113. Let b(n) be the second derivative of 17*n + 1/14*n**3 - 1/35*n**6 + 0*n**2 - 3/35*n**5 + 1/14*n**l + 0 + 3/98*n**7. What is c in b(c) = 0?
-1, -1/3, 0, 1
Let d = 39 - 38. Let j(p) = 8*p**2 + 10*p - 23. Let u(y) = y**2 - y - 1. Let q(a) = d*j(a) - 5*u(a). Factor q(z).
3*(z - 1)*(z + 6)
Let x(l) = -l**3 - 26*l**2 + 31*l + 111. Let u be x(-27). Factor -47*p - 3*p**5 - 5*p**4 - p**u + 3*p**4 + 143*p + 8*p**4 + 37*p**3 - 120*p**2.
-3*p*(p - 2)**3*(p + 4)
Let t = -329 - -323. Let r be ((-56)/t)/(17/(357/70)). What is h in r*h**2 - 6*h + 18/5 - 2/5*h**3 = 0?
1, 3
Let s = 3097 + -4765. Let h = 1670 + s. Factor -2/3*g**4 + 0*g**h + 0 + 4/3*g**3 + 0*g.
-2*g**3*(g - 2)/3
Suppose -163 + 147 = -8*m. Let c be 10*m/(-16)*-6. Let -9/4*z**4 + 0*z**2 + 9/4 + c*z**3 - 15/2*z = 0. Calculate z.
-1, 1/3, 1, 3
Let i(c) be the second derivative of -4/35*c**5 + 0*c**2 + 0*c**3 + 0 - 10*c - 2/105*c**6 + 2/147*c**7 + 4/21*c**4. Find d such that i(d) = 0.
-2, 0, 1, 2
Let c(o) = 15*o - 121. Let h be c(8). Let b be (0*(-5)/40)/h. Suppose 0 + 3/5*k**3 + b*k**2 - 12/5*k = 0. What is k?
-2, 0, 2
Let k(y) = 3*y**3 - 957*y**2 - 2814*y - 1677. Let g(q) = -5*q**3 + 4*q + 1. Let h(s) = 3*g(s) - k(s). Determine d, given that h(d) = 0.
-2, -5/6, 56
Let 2*l**2 + 182329 - 270*l + 5*l**2 - 205*l - 6*l**2 - 379*l = 0. Calculate l.
427
Find g such that -100/9*g**3 + 130/9*g - 16/9*g**4 - 8/3 - 110/9*g**2 = 0.
-4, -3, 1/4, 1/2
Let u be 3840003/1093176 + (-2)/(-18). Let m = u + 2/1687. Determine w so that -3/4*w**5 + 45/8*w**3 - 1/2 + 11/8*w**4 + m*w**2 - 3/8*w = 0.
-1, -1/2, 1/3, 4
Let f = 465 - 441. Let w be 30/f - (-15)/(-12). Find u, given that -1/2*u**4 + 1/2*u**2 + 1/2*u**3 + w*u - 1/2*u**5 + 0 = 0.
-1, 0, 1
Let g be 907 + (-28)/(-35)*5. Suppose -944 = -11*j - g. Factor -6/5*n**2 - 4/5*n**j + 0*n + 2/5*n**4 + 0.
2*n**2*(n - 3)*(n + 1)/5
Let k be 140/15*(-3)/21*-12. Let q(c) be the first derivative of 64*c - k*c**2 + 4/3*c**3 - 12. Factor q(w).
4*(w - 4)**2
Let g = 52415/3676 - 8/919. Let t(o) be the second derivative of 0 - 14*o**3 - g*o**4 - 6*o**2 - 27/5*o**5 - 7*o. Determine k, given that t(k) = 0.
-2/3, -1/4
Let s = 177/3715 + -39621714/26005. Let g = s + 1527. Find a, given that -g*a + 36/7 + 4/7*a**2 = 0.
3
Suppose 84*d + 17*d = -330*d. Solve -9/2*u + 6*u**3 - 3*u**4 + d + 3*u**2 - 3/2*u**5 = 0.
-3, -1, 0, 1
Let p(k) be the third derivative of -k**8/12 + 121*k**7/315 + 23*k**6/180 - 32*k**5/15 - 5*k**4/9 + 32*k**3/9 - 4861*k**2. Find t such that p(t) = 0.
-1, -1/2, 8/21, 2
Let y = 1008 + -1008. Let o(p) be the third derivative of 0*p**4 + 0*p - 1/540*p**5 + 0*p**3 + y + 1/540*p**6 - 7*p**2 - 1/1890*p**7. Factor o(j).
-j**2*(j - 1)**2/9
Suppose 0 = n - i - 1 - 0, 3*i + 1 = 2*n. Suppose 8*t - 9*t = -n. Find j, given that 3*j**5 + 18 - 24*j**3 - 7*j**4 + j**4 - 69*j**2 - 6 + 63*j**t + 21*j = 0.
-1, 1, 4
Let w be -3 + 6824/152 - 6/(-57). Suppose -47*s + w*s + 35 = 5*o, 5*s = 4*o + 17. Factor 8/21*a + 0 + 26/21*a**3 + 2/21*a**5 + 8/7*a**o + 4/7*a**4.
2*a*(a + 1)**2*(a + 2)**2/21
Let x be 1/1 + (-4)/((-8)/6). Suppose -6*g + 25 = 5*s - 8*g, 0 = 2*s + x*g + 14. Factor 2/9*j - 4/9*j**2 - 2/9*j**s + 4/9.
-2*(j - 1)*(j + 1)*(j + 2)/9
Let g be (-606336)/81840 - 1*-1. Let t = -3/341 - g. Factor t - 136/5*r**2 - 112/5*r - 36/5*r**3.
-4*(r + 2)**2*(9*r - 2)/5
Let y(o) = 2*o**2 - 15*o - 321. Let p be y(17). Let l(b) be the first derivative of -3/7*b**2 - 3/7*b + 3/14*b**4 - p + 1/7*b**3. Factor l(g).
3*(g - 1)*(g + 1)*(2*g + 1)/7
Let r(o) be the second derivative of o**6/15 + 4*o**5/7 - 2*o**4/7 + 2*o + 11. Factor r(h).
2*h**2*(h + 6)*(7*h - 2)/7
Let a(p) = 3*p**2 + 32*p + 27. Let o(i) = 35*i**2 + 15*i**2 + 707 - 247 + 545*i. Let v(m) = 35*a(m) - 2*o(m). Solve v(x) = 0.
-5, -1
Determine m so that -3/2*m**3 - 88749/2*m - 89787/2 + 1035/2*m**2 = 0.
-1, 173
Factor 10674*c - 48050 - 33*c**3 + 308*c**2 + 34*c**3 + 12731*c.
(c - 2)*(c + 155)**2
Find y, given that 112*y**2 + 4*y**4 - 140701*y - 3416*y**3 - 3532*y**2 + 140701*y = 0.
-1, 0, 855
Let l be (-2)/((-336)/2540) - (-27)/((-6642)/205). Factor -4/7*p**3 + l*p + 16/7*p**2 - 16.
-4*(p - 7)*(p - 1)*(p + 4)/7
Let a(s) be the second derivative of -7/180*s**5 - 1/12*s**4 - 1/27*s**3 + 18*s + 0*s**2 + 0. What is g in a(g) = 0?
-1, -2/7, 0
Let a(g) be the first derivative of 93696/5*g**2 + 5344*g**3 + 98304/5*g + 282/25*g**5 - 1/10*g**6 + 142 - 8643/20*g**4. Factor a(s).
-3*(s - 32)**3*(s + 1)**2/5
Let b(k) be the third derivative of k**5/540 + 41*k**4/108 + 781*k**3/54 - k**2 - 8*k - 98. Determine z, given that b(z) = 0.
-71, -11
Suppose j + 3 = 0, 0 = 5*o - 3*j + j - 26. Suppose -o = -8*q + 28. Factor u**2 + 424*u - 424*u - q*u**2 + 3.
-3*(u - 1)*(u + 1)
Let o be 99/27 - (6 - 6) - 2. Let g(k) be the first derivative of 10*k**2 - o*k**3 + 16 - 15*k. Solve g(m) = 0 for m.
1, 3
Let p(b) be the second derivative of -2*b**7/21 + 38*b**6/5 - 1181*b**5/5 + 10523*b**4/3 - 24276*b**3 + 78608*b**2 + 2265*b. What is n in p(n) = 0?
2, 4, 17
Let t(n) = -33*n**2 + 7740*n - 4984545. Let g(m) = 94*m**2 - 23219*m + 14953638. Let i(a) = 6*g(a) + 17*t(a). Determine q, given that i(q) = 0.
1289
Let v be ((-288)/56 - -6)/(2/112). Solve -2671*w**4 + 2772*w**4 + 4*w**2 + 17*w**5 - 5*w**5 + v*w**3 + 45*w**5 = 0 for w.
-1, -2/3, -2/19, 0
Let q(z) = -2*z**3 - 403*z**2 + 11187*z - 101519. Let g(h) = 3*h**3 + 807*h**2 - 22373*h + 203021. Let t(j) = -7*g(j) - 13*q(j). Factor t(l).
5*(l - 30)*(l - 26)**2
Let o be (16/(-10))/4*147/(-14). Suppose -18/5 - 3/5*i**2 - o*i = 0. Calculate i.
-6, -1
Let g = -2172507/4 - -543127. Factor 0*c**2 + g*c**4 + 1/2*c - 1/2*c**3 - 1/4.
(c - 1)**3*(c + 1)/4
Factor 954*c**2 - 1/2*c**3 + 128629728 - 606744*c.
-(c - 636)**3/2
Let o be (9/12)/((-33)/(-22)). Let y be 20/(-5) - -1 - -5. Suppose -o*b**3 + 1/2*b + 1/2*b**y - 1/2*b**4 + 0 = 0. Calculate b.
-1, 0, 1
Factor -4/9 + 4/9*r**2 - 2/9*r + 2/9*r**3.
2*(r - 1)*(r + 1)*(r + 2)/9
Let a(t) = -t**4 + t**2 - 3*t - 1. Let u(m) = -14*m**4 - 20*m - 2 - 3*m**2 - 18*m + m**2 + 32*m**3 + 16. Let r(v) = -2*a(v) + u(v). Solve r(o) = 0.
-1, 2/3, 1, 2
Let m be (21056/(-120))/14 - -4. Let y = m + 46/5. Let -2/3*g**3 - y*g**2 + 2/3 + 2/3*g = 0. What is g?
-1, 1
Suppose -33*o - 48*o = -60*o. Let -2/11*g**2 - 2/11*g**3 + 0 + o*g = 0. Calculate g.
-1, 0
Let r(s) = s**2 - 51*s + 72. Let d(t) = -10*t + 14. Let p(h) = -h**3 - 7*h**2 + 5*h - 13. Let l be p(-8). Let k(n) = l*d(n) - 2*r(n). Find q such that k(q) = 0.
-5, 1
Suppose 32*d = 33*d + 3. Let a(n) = -n**2 - 3*n + 1. Let g(j) = 2*j**2 - j - 6. Let q(r) = d*g(r) - 3*a(r). Suppose q(s) = 0. What is s?
-1, 5
Let w(j) be the third derivative of -j**5/30 + 11*j**4/6 + 25*j**3 + 17*j**2 - 13. Factor w(h).
-2*(h - 25)*(h + 3)
Let q(i) be the third derivative of i**7/840 - 5*i**6/96 + 7*i**5/10 - 3*i**4/2 - 11*i**2 - i + 23. Determine c, given that q(c) = 0.
0, 1, 12
Let u(i) = 5396*i - 37769. Let g be u(7). Let a be 1*(-2)/14*-6. Find l, given that -4/7*l**g + 4/7*l + a + 2/7*l**4 - 8/7*l**2 = 0.
-1, 1, 3
Let u be (-5)/14*(3/(-25))/((-6390)/(-24850)). Factor u*h**3 - 23/6*h**2 - 1/6*h + 23/6.
(h - 23)*(h - 1)*(h + 1)/6
Let c(a) be the third derivative of -a**7/1260 + a**6/80 + 10*a**2 - 31*a. Find g, given that c(g) = 0.
0, 9
Let r(h) be the third derivative of -h**5/80 + 15*h**4/32 + 77*h**3/4 + 3*h**2 - 1176*h. Factor r(l).
-3*(l - 22)*(l + 7)/4
Factor 1520*s + 1/4*s**4 + 1600 - 19*s**3 + 321*s**2.
(s - 40)**2*(s + 2)**2/4
Factor 4*m**2 - 27847 - 692*m + 27847.
4*m*(m - 173)
Let k(w) be the first derivative of 3*w**5/25 - 21*w**4/20 - 41*w**3/5 - 99*w**2/10 - 797. Factor k(s).
3*s*(s - 11)*(s + 1)*(s + 3)/5
Let c(b) be the second derivative of 3*b + 6 - 5*b**2 - 1/24*b**4 - 1/40*b**5 + 4/3*b**3. Find n such that c(n) = 0.
-5, 2
Let y(h) be the first derivative of -3*h**4/4 + 8*h**3 - 21*h**2/2 + 873. Factor y(d).
-3*d*(d - 7)*(d - 1)
Let h(b) be the first derivative of 9*b**5 - 1725*b**4/4 - 1195*b**3/3 + 965*b**2/2 + 390*b - 4065. Find u such that h(u) = 0.
-1, -1/3, 2/3, 39
Let l(d) be the third derivative of d**6/1320 + 437*d**5/660 + 871*d**4/264 + 145*d**