- 100/7*m**3 - 1692/7*m - 1026/7 = 0 for m.
-3, -1, 57
Suppose -4*b + 12 = h, -2*h + 12 = 3*h - 4*b. Suppose 45 = h*l - l. Factor -l*p**4 + 11 - 21 + 14*p**2 + 45*p - 89*p**2 + 55*p**3.
-5*(p - 1)**3*(3*p - 2)
Let l(g) = -19990*g + 19999975. Let z(r) = r**2 - 39982*r + 39999955. Let h(w) = 9*l(w) - 5*z(w). Solve h(c) = 0.
2000
Let u(y) be the third derivative of -y**8/336 - y**7/105 + 4*y**6/3 - 287*y**5/30 - 245*y**4/8 + 147*y**2. Find j, given that u(j) = 0.
-15, -1, 0, 7
Factor 5*w**3 + 1997*w - 23*w - 284*w - 305*w**2 - 2200.
5*(w - 55)*(w - 4)*(w - 2)
Let k = 782 + 309. Suppose -k*y + 1067*y = -72. Find x, given that 3 + 5*x + 1/3*x**y + 7/3*x**2 = 0.
-3, -1
Let s(t) be the first derivative of -t**6/60 + 17*t**5/50 - 19*t**4/20 - 28*t**3/15 + 1643. Solve s(i) = 0 for i.
-1, 0, 4, 14
Let w be (-12)/8*-2*((-76)/57 - -2). Factor 3/4*q - 3/8*q**3 + 3/8*q**w + 0.
-3*q*(q - 2)*(q + 1)/8
Find j such that -10600*j**2 + 10288*j**2 + 156*j + 68*j**3 + 100*j + 640 - 4*j**4 = 0.
-1, 4, 10
What is r in -42 + 497/4*r**3 + 309/4*r**2 - 3*r**4 - 313/2*r = 0?
-4/3, -1/4, 1, 42
Let o(n) be the third derivative of 0*n + n**2 - 25/24*n**4 - 37 + 625/12*n**3 + 1/120*n**5. Suppose o(k) = 0. Calculate k.
25
Let a = 4815 + -4813. Let n(c) be the first derivative of 20*c + 190*c**a + 3 + 1805/3*c**3. Factor n(t).
5*(19*t + 2)**2
Let g(h) be the second derivative of -h**6/600 + 3*h**5/20 - 45*h**4/8 + 13*h**3/3 + h - 3. Let y(p) be the second derivative of g(p). Factor y(l).
-3*(l - 15)**2/5
Let a be (23/(-2))/(135/5310). Let l = 455 + a. Factor 2/3*j**2 + l + 8/3*j.
2*(j + 2)**2/3
Determine u, given that -2 - 3*u**2 - 321*u + 9*u**3 + 328*u + 2 + 18*u**2 + u**4 = 0.
-7, -1, 0
Let u = 51050/9 + -102073/18. Let u*n**5 + 0*n + 3/2*n**4 + 0 - 3/2*n**2 - 3/2*n**3 = 0. What is n?
-1, 0, 1
Let d(g) = -5*g**2 + 10*g. Let c(n) be the third derivative of -n**3/6 - 79*n**2. Let k(s) = -15*c(s) + d(s). Factor k(l).
-5*(l - 3)*(l + 1)
Solve 12*f - 11*f + 28 + 0*f**2 + 7*f - f**2 + 4*f = 0.
-2, 14
Let u(q) be the first derivative of q**4/2 - 1060*q**3/3 - 1063*q**2 - 1064*q + 5269. Factor u(l).
2*(l - 532)*(l + 1)**2
Let f = 786/4199 + 168/221. Factor -f*y**2 + 54/19*y - 54/19 + 2/19*y**3.
2*(y - 3)**3/19
Suppose 8*r - 11*r - 1061 = -5*w - 95, -8 = 4*r. Factor 120*i + 512/5*i**3 + w*i**2 + 25.
(8*i + 5)**3/5
Let n be 7 + 1 + (-8)/2 - -55. What is v in 55*v - 53*v**2 + 32*v + n*v**2 - 45 = 0?
-15, 1/2
Let m be (-2622)/(-190) + (-8 - (-13 - -8)). Determine c so that 5832/5*c + 0 - 1/5*c**4 - 972/5*c**2 + m*c**3 = 0.
0, 18
Suppose 0 = i - 86 + 86. Let d be -5 + (i - 93/(-15)). Solve -2/5*b**2 - 6/5*b**4 + 0 + 0*b - 2/5*b**5 - d*b**3 = 0 for b.
-1, 0
Let x(z) = 4*z**2 + 10196*z + 6543382. Let h(q) = -3*q**2 - 7646*q - 4907537. Let c(i) = -18*h(i) - 14*x(i). Suppose c(p) = 0. Calculate p.
-1279
Let f(z) be the first derivative of -z**5/15 - 7*z**4/6 + z**2/2 - 2*z + 234. Let d(r) be the second derivative of f(r). Determine y so that d(y) = 0.
-7, 0
Factor 37830*c - 35410*c + 2*c**2 - 7*c**2 - 292820.
-5*(c - 242)**2
Let b(c) be the first derivative of -2*c**5/5 + 74*c**3/3 - 84*c**2 + 3095. Factor b(l).
-2*l*(l - 4)*(l - 3)*(l + 7)
Determine t, given that 3/5*t**2 + 0 + 228/5*t = 0.
-76, 0
Suppose -29 + 8*a**3 + 81 + 112*a + 76*a**2 - 17 - 4*a**4 + 13 = 0. Calculate a.
-2, -1, 6
Factor 0 - 1/10*a**2 + 66/5*a**3 + 1/10*a**4 - 66/5*a.
a*(a - 1)*(a + 1)*(a + 132)/10
Let u(c) = c**2 - 16*c + 48. Let n be u(12). Suppose 14*y = -q + 10*y, 3*q - 4*y = n. Factor 32/5*g**4 + q - 48/5*g**3 - 2/5*g + 18/5*g**2.
2*g*(g - 1)*(4*g - 1)**2/5
Let t(d) be the third derivative of -2*d - 42*d**2 + 23/210*d**5 + 11/84*d**4 + 13/420*d**6 + 1/735*d**7 + 0*d**3 + 0. Find q such that t(q) = 0.
-11, -1, 0
Let o be 6/(126/62059) - 4/(-6). Let j = -2951 + o. Let j*l**4 + 0*l - 6/7*l**5 - 18/7*l**2 - 6*l**3 + 0 = 0. What is l?
-1/3, 0, 3
Let w be (-5)/(-2)*672/140. Let b(r) = r**3 - 10*r**2 - 22*r - 24. Let y be b(w). Solve -3/7*s**4 + 0*s + 6/7*s**2 - 3/7 + y*s**3 = 0.
-1, 1
Suppose r - 568 = 3*m - 142, 0 = -m + 2*r - 142. Let w = -140 - m. Factor 18/7*c - 16/7 - 2/7*c**w.
-2*(c - 8)*(c - 1)/7
Let r be (-4890)/(-210)*(7 + 0). Let -70*t + r*t - 4*t**2 - 48 - 65*t = 0. What is t?
3, 4
Let h(m) be the first derivative of 28*m**5/25 - 2*m**4/5 - 196*m**3/5 + 364*m**2/5 - 32*m + 2522. Suppose h(v) = 0. Calculate v.
-5, 2/7, 1, 4
Find o such that -152/5*o + 148/5 - 181/5*o**2 + 116/5*o**3 - 3/5*o**4 = 0.
-1, 2/3, 2, 37
Let o(g) = -g + 1. Let r be o(1). Let q = 50/623 - -5507/1246. Solve 14*p**3 + 15*p**4 + r*p + q*p**5 + 0 + 4*p**2 = 0.
-2, -2/3, 0
Find h, given that 921/7*h**2 + 306/7 - 919/7*h - 309/7*h**3 + 1/7*h**4 = 0.
1, 306
Let z(a) be the second derivative of 0*a**6 + 0*a**2 + 0*a**3 + 18*a - 2 + 2/21*a**7 - 4/5*a**5 + 0*a**4. Factor z(q).
4*q**3*(q - 2)*(q + 2)
Let r(g) be the second derivative of -5*g**4/12 + 155*g**3/3 - 305*g**2/2 - 1830*g. Solve r(i) = 0 for i.
1, 61
Factor 663/4*t + 24*t**2 - 867/2 + 3/4*t**3.
3*(t - 2)*(t + 17)**2/4
Let k = 450 + -321. What is l in 676 - 25*l + 218*l**2 + k*l - 214*l**2 = 0?
-13
Let d = 534 - 471. Let -d*f**2 - 3*f**4 + 148*f**3 - 92*f**3 - 86*f**3 = 0. Calculate f.
-7, -3, 0
Factor 5391*z**2 - 1331*z + z**3 - 2648*z**2 + 20184 - 2661*z**2 + 3564*z.
(z + 24)*(z + 29)**2
Let c(k) = 2*k**4 - 5*k**2. Let v be (-1)/(-2) - (180/40 + -8). Let u(f) = 3*f**4 + 6*f**2 - 2*f**4 - 3*f**4. Let h(n) = v*c(n) + 3*u(n). Solve h(a) = 0.
-1, 0, 1
Let v = -498 - -508. Suppose -35 = -5*h - 5*p, p - v = 76*h - 78*h. Suppose -12/7 + 33/7*m**2 - 48/7*m + 27/7*m**h = 0. What is m?
-2, -2/9, 1
Let v(i) be the third derivative of -i**5/12 + 1265*i**4/12 - 320045*i**3/6 - 118*i**2 + 3*i. Factor v(n).
-5*(n - 253)**2
Let t(r) be the second derivative of r**5/150 - 28*r**4/45 + 161*r**3/45 - 106*r**2/15 + 142*r - 2. Factor t(y).
2*(y - 53)*(y - 2)*(y - 1)/15
Let h be (15 - (-515)/(-25))/(12/(-1390)). Let f = 650 - h. Factor -10/3*c + 10/3*c**3 - 4/3 + f*c**2.
2*(c - 1)*(c + 1)*(5*c + 2)/3
Let q be ((-4608)/(-1260))/(440/70 - 6). Factor -1/5*d**4 + 32/5*d - 12/5*d**2 - 8/5*d**3 + q.
-(d - 2)*(d + 2)*(d + 4)**2/5
Let b(c) be the third derivative of c**6/840 + c**5/140 - 13*c**4/168 - 5*c**3/14 - c**2 - 985*c. Factor b(s).
(s - 3)*(s + 1)*(s + 5)/7
Suppose m**4 + 167*m**2 - 20*m**4 + 90 - 207*m + 23*m**3 - 54 = 0. What is m?
-3, 4/19, 1, 3
Let y = 2137/4955 - 31/991. Determine b so that -2/5*b**2 - 2/5*b**3 + y*b + 2/5 = 0.
-1, 1
Let o(s) be the second derivative of 5*s**7/42 - 5*s**6/6 + 25*s**4/3 - 40*s**3/3 - 14640*s. What is a in o(a) = 0?
-2, 0, 1, 2, 4
Let l(y) be the first derivative of y**4/2 - 160*y**3/3 + 1677*y**2 - 6084*y - 8568. Determine v so that l(v) = 0.
2, 39
Factor -384*c**3 + 2221321*c - 3*c**5 + 6*c**2 - 134*c**4 - 64*c**4 + 192 - 2220934*c.
-3*(c - 1)*(c + 1)**3*(c + 64)
Suppose -4*x - 4*n + 1591 + 57 = 0, 0 = -x - 3*n + 420. Factor -160 - 144 + x - 140 - 4*s**2 - 24*s.
-4*(s + 3)**2
Let b(h) be the first derivative of h**6/30 - 12*h**5/25 + h**4 - 2970. Find j, given that b(j) = 0.
0, 2, 10
Suppose 8*x**3 + 300*x**2 + 527 + 1140*x + 35 - 3*x**3 - 286 + 844 = 0. Calculate x.
-56, -2
Solve 2772 - 781 - 3*d**2 + 0*d**2 + 526 + 1935 - 615*d = 0 for d.
-212, 7
Let g(p) = 7*p**3 + 11*p**2 + 47*p + 2. Let q be g(0). Determine j so that -26/3*j**q + 0 + 0*j + 1/6*j**5 - 8*j**3 - 3/2*j**4 = 0.
-2, 0, 13
Let a(j) be the third derivative of -j**7/42 + 46*j**6/3 - 303*j**5/2 + 225*j**4 + 5445*j**3/2 - 3*j**2 - 971. What is f in a(f) = 0?
-1, 3, 363
Find k such that 2/9*k**4 - 199794688/9*k + 430592/3*k**2 - 928/3*k**3 + 0 = 0.
0, 464
Let c = -1/1077 - -3236/5385. Let -c*r**4 - 3*r**2 + 21/5*r**3 + 18/5 - 21/5*r = 0. Calculate r.
-1, 1, 6
Let i(d) = -d**3 + 8*d**2 - 6*d + 17. Let s be i(8). Let z = s - -34. Determine r so that 14*r + 4*r**4 - r**4 - r**z - 2*r - 12 - 11*r**3 + 9*r**2 = 0.
-1, 1, 2
Let r(q) be the first derivative of q**6/180 - 13*q**5/60 + 2*q**3/3 + 45*q**2/2 + 58. Let y(g) be the third derivative of r(g). Factor y(p).
2*p*(p - 13)
Let z be 4*-3*54/(-81). Factor z*c**2 + 30*c**3 - 31 - 20*c - 26*c**3 + 7.
4*(c - 2)*(c + 1)*(c + 3)
Factor 4*a**3 + 706 + 12*a**2 + 1941 - 487 - 792*a + 216*a.
4*(a - 6)**2*(a + 15)
Let g(p) be the third derivative of -1/140*p**7 - 11/