m**3 - 4*m**2 + 2*m + 1. Let g be x(4). Let f be g + (-3)/(6 - 3). Suppose -f*j**2 + 7*j - 11*j + 20*j + j**3 + 0*j**2 = 0. What is j?
0, 4
Solve -3/5*x**4 + 351/5 + 558/5*x + 18/5*x**3 + 228/5*x**2 = 0 for x.
-3, -1, 13
Let q(i) = i**3 + i**2 - 5*i - 7. Let p be q(-3). Let k be 8/(-16)*p/20. Let 0 + 1/4*m**3 + 0*m - k*m**2 = 0. Calculate m.
0, 1
Suppose 4*n - 34 = f - 10, 4*f + 36 = 4*n. Suppose -31*k**5 - 21*k**3 + 74*k**5 - 38*k**n + k**3 = 0. Calculate k.
-2, 0, 2
Let t(c) = c**3 - 3*c**2 + c + 1. Let y(h) = 0*h**2 + 45 - 49 + 5*h - h**2. Let g(q) = 6*t(q) + 3*y(q). Let g(s) = 0. Calculate s.
1/2, 1, 2
Determine h, given that 7188/5 + 43116/5*h + 80793/5*h**2 - 15*h**4 + 8958*h**3 = 0.
-1, -2/5, 599
Let v(g) be the first derivative of 35/3*g**3 - 45/2*g + 156 - 5/12*g**6 + 15/4*g**2 - 5/4*g**4 - 5/2*g**5. Let v(c) = 0. What is c?
-3, -1, 1
Let d(h) = -14*h**2 + 19*h + 66. Let b(r) = -16*r - 62. Let s be b(-5). Let y(v) = 3*v**2 - 5*v - 16. Let p(m) = s*y(m) + 4*d(m). Factor p(n).
-2*(n + 3)*(n + 4)
Let h be (-28)/(-10) - 20/(-100). Suppose -24*q**2 + 49*q**h + 22*q - q - 46*q**3 = 0. Calculate q.
0, 1, 7
Let w(s) = 2*s**2 + 958*s + 4566. Let u(v) = 4*v**2 + 1922*v + 9133. Let i(n) = -6*u(n) + 13*w(n). Factor i(d).
2*(d + 5)*(d + 456)
Let r(b) = -b**2 - 72*b - 269. Let j be r(-68). Suppose -3*s - p = -3*p - 10, j*p + 16 = 5*s. Factor 27/2 + 9*l + 3/2*l**s.
3*(l + 3)**2/2
Let n be -5 + (78/130)/(4/35). Let w(x) be the second derivative of 0 + x + 0*x**3 + 0*x**2 - n*x**4 + 1/10*x**6 + 0*x**5. Factor w(p).
3*p**2*(p - 1)*(p + 1)
Suppose 0*c + 2*c = 4. Let h = 3735 - 11203/3. Determine z so that h*z**c + 0*z + 0 = 0.
0
Suppose -422 = -18*h + 28. Suppose 4*k - h = -17. Factor 5/2*p + 1/2*p**2 + k.
(p + 1)*(p + 4)/2
Let i(t) be the first derivative of -t**3/4 - 183*t**2/8 + 189*t/2 - 547. Factor i(x).
-3*(x - 2)*(x + 63)/4
Suppose -87*y - 38 = -38. Let v(i) be the third derivative of y*i + 0*i**3 + 1/12*i**5 + 0 + 5/8*i**4 + 6*i**2. Factor v(q).
5*q*(q + 3)
Suppose 5*s + 5*h - 80 = 0, 18612*s - 2*h + 22 = 18609*s. Factor 2 + 1/2*v**s + 2*v.
(v + 2)**2/2
Let m(f) be the second derivative of -f**7/210 + f**6/60 - f**4/12 + f**3/6 - 7*f**2 - 2*f + 1. Let j(y) be the first derivative of m(y). Factor j(i).
-(i - 1)**3*(i + 1)
Let p(s) = s**3 - 9*s**2 + 39*s - 5. Suppose 7*w = 18*w - 176. Let m be p(w). Solve -2423*b**2 - b**3 + m*b**2 - b**3 = 0 for b.
-6, 0
Let j be (-2052)/(-380)*(-220)/(-6). Let l be (-81)/j*(-12)/54. Let -1/11*o + 1/11*o**4 - 2/11*o**2 + 1/11 - l*o**5 + 2/11*o**3 = 0. What is o?
-1, 1
Let z(a) be the second derivative of a**4/3 - 613*a**3/3 - 307*a**2 + 3*a - 579. Let z(v) = 0. What is v?
-1/2, 307
Let b(a) = 10*a**2 + 4582*a + 4559. Let i(l) = 5*l**2 + 2289*l + 2278. Let r(h) = 6*b(h) - 13*i(h). Factor r(u).
-5*(u + 1)*(u + 452)
Suppose -3*w - h + 9 + 2 = 0, 0 = -5*w + 2*h. Suppose -3*c = -0*c - 6. Factor -5*f**3 - w*f + f - 4*f**3 + 5*f**3 - 5*f**c.
-f*(f + 1)*(4*f + 1)
Let a(j) be the third derivative of -j**6/80 + 41*j**5/20 - 1833*j**4/16 + 1521*j**3 + 3*j**2 - 28. Factor a(m).
-3*(m - 39)**2*(m - 4)/2
Let c(g) be the third derivative of -22898*g**6/5 - 45154*g**5/5 + 2559*g**4/8 - 9*g**3/2 - 4979*g**2. Suppose c(h) = 0. What is h?
-1, 3/428
Let -18*d**5 + 4*d**3 + 91*d**5 + 12*d - 71*d**5 + 11*d**4 - 29*d**2 = 0. What is d?
-4, -3, 0, 1/2, 1
What is q in -32/5 - 6/5*q**2 + 2/5*q**4 + 52/5*q - 16/5*q**3 = 0?
-2, 1, 8
Let a(d) = 29*d**2 + 224*d**3 - 8 - 200*d**3 - 49*d + 4. Let n(v) = 25*v**3 + 30*v**2 - 50*v - 5. Let s(j) = -5*a(j) + 6*n(j). Factor s(o).
5*(o - 1)*(o + 2)*(6*o + 1)
Let v(m) = -m**2 - 21*m - 18. Let x be v(-20). Find g such that 207*g**x + 968*g - 256*g**2 - 12*g**3 - 2918*g + 507 - 260*g**2 = 0.
-13, 1/4
Let k(r) = -4*r**2 + 68*r - 7. Let l(u) be the first derivative of 2*u**3/3 - 18*u**2 + 3*u - 100. Let s(q) = -3*k(q) - 7*l(q). Solve s(w) = 0.
0, 24
Let p = -6662 + 106681/16. Let t = p + -21/16. Suppose 5/4*a**4 + t*a**3 + a + 0 + 4*a**2 = 0. What is a?
-2, -1, -2/5, 0
Let f(o) = -o**3 + 155*o**2 + 645*o - 1431. Let j be f(159). Let -2/15*p**5 + 0*p + j + 0*p**2 - 2/5*p**3 + 8/15*p**4 = 0. Calculate p.
0, 1, 3
Let b be 3 + -1 + 1 + 1. Let l = 1511233/7 + -215890. Find k, given that 0*k - 3/7*k**3 + 0 - l*k**b + 0*k**2 = 0.
-1, 0
Let c be (-108 + 115)*8/224. Factor 0 + 0*j - 4*j**2 - c*j**4 + 2*j**3.
-j**2*(j - 4)**2/4
Let l(f) be the second derivative of 5*f**4/12 + 125*f**3/2 - 1798*f + 2. Determine t so that l(t) = 0.
-75, 0
Suppose -30*n = -62*n. Let s(v) be the first derivative of 0*v**2 - 16/3*v**3 - v**4 + n*v + 4. Determine c so that s(c) = 0.
-4, 0
Factor -4/9*p**2 + 296/9*p + 7520/9.
-4*(p - 94)*(p + 20)/9
Suppose 274*g - 319*g - 45 = 0. Let t be g/22 + (-5)/(-110). Factor -1/4*d**3 + t*d**2 + 1/4*d + 0.
-d*(d - 1)*(d + 1)/4
Let a = -10/1080289 - -2777896/1080289. Suppose 4*t - 10 = -2*x - x, 0 = t + 2*x. Solve 40/7*v**2 + 12/7*v**3 + 0 - a*v**t + 16/7*v = 0.
-2/3, 0, 2
Suppose 3/4*g - 3/4*g**3 + 639/2*g**2 - 639/2 = 0. Calculate g.
-1, 1, 426
Let l(u) be the third derivative of -u**9/1008 - u**8/560 + u**7/140 + 89*u**3/6 - 190*u**2. Let n(s) be the first derivative of l(s). Factor n(i).
-3*i**3*(i - 1)*(i + 2)
Let b(w) = 9*w**4 + 23*w**3 + 79*w**2 + 73*w + 24. Let l(h) = -25*h**4 - 70*h**3 - 236*h**2 - 219*h - 72. Let r(o) = 11*b(o) + 4*l(o). Factor r(x).
-(x + 1)**3*(x + 24)
Suppose 2*l = -3*q + 3, 5*q + 30 = 35. Suppose -5*x + 12 = o, l = o - 2*x - x + 4. Factor 1/4*w**o - 8*w + 64.
(w - 16)**2/4
Let c be (5 + -11 - -1)*(14 + (-511)/35). Let g(b) be the second derivative of 25/6*b**c - 5/72*b**4 - 8*b - 375/4*b**2 + 1. Let g(m) = 0. What is m?
15
Suppose 1388 = 32*v - 308. Suppose -37*r = -127 + v. Factor -2/3*a + 0 + a**3 + 5/3*a**r.
a*(a + 2)*(3*a - 1)/3
Let m be 68 + -52 + (-29)/2. Solve m*d**4 - 9/2*d**2 - 15*d + 6*d**3 + 12 = 0.
-4, -2, 1
Let l(j) = 11*j**2 - 16*j + 14. Let t(a) = -5*a**2 + 8*a - 7. Let d be 19/4 + 2/24*-9. Let f(x) = d*l(x) + 9*t(x). Factor f(u).
-(u - 7)*(u - 1)
Let w(a) be the first derivative of -2*a**5/5 - 79*a**4/2 - 154*a**3/3 + 79*a**2 + 156*a + 1420. Let w(n) = 0. What is n?
-78, -1, 1
Solve 2/3*q**5 + 4*q**4 - 4*q**2 - 2/3*q**3 + 0 + 0*q = 0 for q.
-6, -1, 0, 1
Factor -3163*l - 293 + 105 + 3343*l - 4*l**2 - 154 - 2.
-4*(l - 43)*(l - 2)
Let r be ((-705)/470)/(2/(4/(-9))). Let f(b) be the third derivative of r*b**3 + 1/6*b**4 + 0 + 1/30*b**5 + 0*b - 4*b**2. Factor f(d).
2*(d + 1)**2
Suppose 6*k - 56 = -4*g + 8*k, 4*g - 68 = -4*k. Let w be 3/g + (-16)/280. Factor 0 + w*u**2 - u.
u*(u - 7)/7
Solve -548/3 + 184*c - 416/3*c**3 + 227*c**2 + c**4 = 0.
-1, 2/3, 2, 137
Let o = 1852511/110 - 16841. Let z(r) be the second derivative of -o*r**5 - 4/33*r**4 - 7/11*r**3 - 18/11*r**2 - 35*r + 0. Factor z(k).
-2*(k + 2)*(k + 3)**2/11
Factor 2/9*u**5 + 10*u**4 + 0 + 0*u**2 + 88/9*u**3 + 0*u.
2*u**3*(u + 1)*(u + 44)/9
Suppose 742 = 4*k + 662. Factor -15*h**3 + k*h + 5*h**4 + 25383 - 25383.
5*h*(h - 2)**2*(h + 1)
Let i(z) be the first derivative of -130*z**3/33 - 259*z**2/11 + 8*z/11 - 4017. Solve i(n) = 0 for n.
-4, 1/65
Let y = 48559 + -48557. Factor 128 + 2/9*b**y - 32/3*b.
2*(b - 24)**2/9
Let o(t) be the first derivative of 2*t**3/9 - 32*t**2/3 + 138*t + 646. Factor o(z).
2*(z - 23)*(z - 9)/3
Let x(l) be the third derivative of l**7/315 + l**6/9 + 131*l**5/90 + 76*l**4/9 + 64*l**3/3 - 3930*l**2. Let x(p) = 0. Calculate p.
-8, -3, -1
Factor -2/13*o**3 - 172/13 - 262/13*o - 92/13*o**2.
-2*(o + 1)*(o + 2)*(o + 43)/13
Let u(f) be the second derivative of 1 - 3/2*f**2 + 5/8*f**3 - 1/16*f**4 - 4*f. Find t, given that u(t) = 0.
1, 4
Let 355*t**2 - 103 - 35920*t - 5*t**3 + 35925*t - 252 = 0. Calculate t.
-1, 1, 71
Let k(y) = y + 8. Let t(p) = -13*p**2 + 771*p - 102. Let w(z) = 6*k(z) - 3*t(z). Solve w(h) = 0 for h.
2/13, 59
Let h(r) be the first derivative of -35*r**3/9 - 44*r**2/3 + 28*r/3 - 2698. Find y, given that h(y) = 0.
-14/5, 2/7
Let s(k) be the first derivative of -k**3/3 - 96*k**2 - 567*k - 2456. Factor s(d).
-(d + 3)*(d + 189)
Let f(v) be the third derivative of -v**6/540 + 7*v**5/135 - 19*v**4/108 - 70*v**3/9 + 3*v**2 - 51. Factor f(x).
-2*(x - 10)*(x - 7)*(x + 3)/9
Let y(t) be the first derivative of -t**3/6 - 203*t**2/4 + 205*t + 2426. Factor y(a).
-(a - 2)*(a + 205)