 + 1/5*h**4 + 0*h = 0?
-1, 0
Let i(a) be the second derivative of -45*a + 1/2*a**2 - 5/36*a**3 + 0 - 1/72*a**4. Factor i(y).
-(y - 1)*(y + 6)/6
Suppose 0 = -37*z + 32*z + 10. Suppose 3656*q**2 + 4*q**4 - 3656*q**z + 2*q**3 + 2*q**5 = 0. What is q?
-1, 0
Let i(g) be the first derivative of 644*g**3/3 + 323*g**2 + 2*g - 1362. Solve i(n) = 0 for n.
-1, -1/322
Let d(m) = 38*m - 219. Let g be d(6). Suppose 15 = 5*p + 4*q, -21*q - g = -3*p - 18*q. Factor 9*v**2 + 1/2*v**4 + 4 + 7/2*v**p + 10*v.
(v + 1)*(v + 2)**3/2
Let p(i) be the second derivative of -i**8/2520 + i**7/630 - i**6/540 + 71*i**3/6 + 2*i - 4. Let w(m) be the second derivative of p(m). Factor w(a).
-2*a**2*(a - 1)**2/3
Let r(l) be the second derivative of 2*l**6/15 - 3*l**5/5 - 15*l**4 - 54*l**3 + 15*l + 4. Factor r(x).
4*x*(x - 9)*(x + 3)**2
Suppose 5*x - 34 = 3*c, -893*x + 897*x = -2*c + 36. Factor -20/11*w + 2/11*w**c + 32/11.
2*(w - 8)*(w - 2)/11
Suppose -d - 46 = 3*h, -2*d - 106 + 31 = 5*h. Factor 0 + 0*y**4 + 0*y**2 - 1/4*y**d + 0*y + y**3.
-y**3*(y - 2)*(y + 2)/4
Let z = 310999 + -932993/3. Factor -4 + 10/3*c + z*c**2 - 2/3*c**3.
-2*(c - 3)*(c - 1)*(c + 2)/3
Factor -63*o - 1/4*o**2 - 488.
-(o + 8)*(o + 244)/4
Let y(u) be the first derivative of -1/25*u**5 + 2/5*u**3 + 2/5*u**2 + 238 - 8/5*u - 1/20*u**4. Factor y(k).
-(k - 2)*(k - 1)*(k + 2)**2/5
Find t such that -55*t**4 - t**4 - 1080*t**2 + 19257*t**3 + 11*t**4 - 19652*t**3 - 820*t + 240 = 0.
-4, -3, -2, 2/9
Let l(q) be the first derivative of -27*q**6/10 - 72*q**5/25 + 339*q**4/20 + 98*q**3/5 - 6*q**2 - 24*q/5 - 975. What is c in l(c) = 0?
-2, -1, -2/9, 1/3, 2
Let t be (4/5)/(9/45). Suppose c = 6 - t. Factor 9*x**c + 10 + 21*x - 5*x + 31*x.
(x + 5)*(9*x + 2)
Let t(b) be the second derivative of 0*b**2 - 7/5*b**5 + 0 + 0*b**3 + 136*b - 10/9*b**4 - 22/45*b**6. Let t(u) = 0. Calculate u.
-1, -10/11, 0
Let d(f) = -f**3 - 2*f**2 - 2*f + 2. Let o(v) = -7*v**3 - 33*v**2 - 116*v - 72. Let y(c) = -6*d(c) + o(c). Let y(p) = 0. Calculate p.
-14, -6, -1
Let t be (73/(-1460) - (-63)/60) + 20/(-7) + 2. Let 4/7*a**2 + 0*a + 0 - t*a**4 + 0*a**3 = 0. Calculate a.
-2, 0, 2
Let x(o) be the second derivative of -3*o**5/70 - 19*o**4/14 + 66*o**3/7 + o + 192. Determine w so that x(w) = 0.
-22, 0, 3
Let y(v) be the second derivative of 60*v - 1/18*v**3 + 0*v**2 + 11/36*v**4 + 0. Solve y(w) = 0 for w.
0, 1/11
Let y(u) be the first derivative of 131*u**5/10 + 1177*u**4/24 + 391*u**3/6 + 129*u**2/4 - u/3 + 4938. Suppose y(b) = 0. What is b?
-1, 2/393
Let b(i) be the third derivative of -1/30*i**6 + 2*i**2 + 0*i + 120 - 2*i**4 + 7/15*i**5 + 0*i**3. Determine k so that b(k) = 0.
0, 3, 4
Let x be (-56)/(-140) + (1344/110)/4. Factor 36/11*j + 2/11*j**2 - x.
2*(j - 1)*(j + 19)/11
Let r(k) be the third derivative of -k**5/390 + 349*k**4/156 + 350*k**3/39 - 1837*k**2. Factor r(z).
-2*(z - 350)*(z + 1)/13
Let z = -586731 - -586734. Let -1/7*k**z - 27/7*k**2 - 25/7 - 51/7*k = 0. Calculate k.
-25, -1
Let n(w) = 10*w**5 + 85*w**4 - 250*w**3 + 245*w**2 - 5*w + 5. Let s(x) = 3*x**5 + x**4 + 2*x**3 + x**2 - x + 1. Let d(p) = n(p) - 5*s(p). Solve d(f) = 0 for f.
0, 2, 12
Suppose -9*z + 3641 = 17420. Let r = z - -1535. Suppose 15/2*u**2 - 3/2*u + 0 - 9/2*u**3 + 6*u**5 - 15/2*u**r = 0. What is u?
-1, 0, 1/4, 1
Let d(f) = -13*f - 73. Let s be d(-6). Find v such that 2*v**2 - s*v**5 - 33*v**3 - 20*v**2 - 18*v**4 + v**5 + v**5 = 0.
-3, -2, -1, 0
Let r(n) be the third derivative of 1/132*n**4 + 3*n**2 + 0*n + 0*n**3 + 0 - 1/330*n**5. Factor r(h).
-2*h*(h - 1)/11
Factor -1511*o + 1/2*o**2 + 2283121/2.
(o - 1511)**2/2
What is s in -447/2*s**3 - 11025*s**2 + 187500 - 3/2*s**4 - 176250*s = 0?
-50, 1
Let c = 264 - 243. Suppose 3*m = -c + 24, -4*m + 10 = 3*b. Let -1/6*g + 0 + 1/2*g**b = 0. Calculate g.
0, 1/3
Let x(p) be the first derivative of -243*p**4/4 + 5715*p**3 + 3828*p**2 + 852*p - 3289. Factor x(k).
-3*(k - 71)*(9*k + 2)**2
Let f(g) = g**2 + 30*g + 33. Let c = 439 + -468. Let t be f(c). Solve -t + 16/5*r + 4/5*r**2 = 0.
-5, 1
Suppose 96*y = -70*y + 55*y. Let z(r) be the second derivative of 0 + 0*r**2 + y*r**3 + 2/115*r**5 - 30*r - 1/46*r**4 - 1/345*r**6. Find b, given that z(b) = 0.
0, 1, 3
Let u(d) = d**2 + 18*d. Let i be u(-18). Suppose -5*z - 11 = 3*m - 0*m, i = -2*m + 4*z + 22. Factor -5*c**4 + 4*c - 7*c**m + 72*c**2 - 32*c**2 - 32*c**2.
-c*(c - 1)*(c + 2)*(5*c + 2)
Let n(o) = -4*o**2 - 32*o + 64. Let y = 36 + -35. Suppose -5*s + y - 6 = -2*x, -2*s + x - 3 = 0. Let v(b) = b**2. Let z(d) = s*n(d) + 8*v(d). Factor z(f).
4*(f - 4)**2
Let k(a) be the third derivative of -a**5/600 - 23*a**4/240 + 2*a**3/5 + 109*a**2 + 6*a. Let k(g) = 0. What is g?
-24, 1
Let n = -67 + 75. What is j in -261 + 261 + 2*j**4 + 6*j**3 - n*j = 0?
-2, 0, 1
Let i(s) = 230*s**2 - 10*s + 10. Let a be i(-3). Let d = a + -2106. Solve -4/7*t**2 + 8/7*t**3 - 8/7*t + 0 + 4/7*t**d = 0 for t.
-2, -1, 0, 1
Solve -378/13*o - 380/13 + 2/13*o**2 = 0.
-1, 190
Let i(k) be the second derivative of -k**6/120 + k**5/16 + k**4/8 - 4*k**3/3 - 4*k**2 + 62*k + 4. Factor i(d).
-(d - 4)**2*(d + 1)*(d + 2)/4
Let a(b) be the third derivative of -b**5/240 + 63*b**4/8 - 11907*b**3/2 - 1310*b**2. Suppose a(i) = 0. What is i?
378
Let n(s) = s**3 - 79*s**2 - 2196*s + 576. Let d be n(-22). Factor 3/2*v**d + 7*v**3 + 13/2*v**2 - 3*v + 0.
v*(v + 2)*(v + 3)*(3*v - 1)/2
Let s(b) = -b**2 + 26*b + 3. Let h be s(26). Factor 108*n - 52*n + 3*n**3 - 23*n**h - 10 - 21*n + 25*n**2.
-5*(n - 2)*(n + 1)*(4*n - 1)
Suppose 22*p + 129 = 63. Let y be (2/p)/(1422/135 + -11). Factor -2/7*v**3 + 6/7 - 2*v + y*v**2.
-2*(v - 3)*(v - 1)**2/7
Let f(y) = y**2 + 2. Let u(s) = s**2 + 30*s + 71. Let t be (47/94)/((-6)/(-8) + -1). Let d(k) = t*f(k) - u(k). Factor d(q).
-3*(q + 5)**2
Factor 5*s**3 - 7226*s - 370*s - 6*s**3 + 181*s**2 - 684*s + 8100.
-(s - 90)**2*(s - 1)
Let f be 6*((-2)/(-11) - (-252)/(-539) - (-176)/224). Factor -40/13*u**2 + 0 + 2/13*u**f + 0*u.
2*u**2*(u - 20)/13
Let 100*g**4 - 305*g**2 + 592 + 415*g - 5*g**2 - 51*g**2 + 16*g**5 + 93*g - 331*g**2 - 524*g**3 = 0. What is g?
-37/4, -1, 1, 4
Let t = 29 - 27. Let h = 3595/28952 + 3/3619. Factor -h*q**4 - 1/4*q + 0 + 1/4*q**3 + 1/8*q**t.
-q*(q - 2)*(q - 1)*(q + 1)/8
Let f(j) be the first derivative of -j**5/160 - j**4/64 + j**3/8 - 25*j**2/2 - j + 41. Let a(q) be the second derivative of f(q). Determine t so that a(t) = 0.
-2, 1
Let w(k) be the first derivative of 1/3*k**3 + 12 + 12/5*k**2 - 1/20*k**4 + 0*k. Factor w(i).
-i*(i - 8)*(i + 3)/5
Let z be 4992/9360 + 3/(-9). Factor 14/5*h**3 + z*h**4 + 69/5*h**2 + 136/5*h + 16.
(h + 1)*(h + 4)**2*(h + 5)/5
Let q(d) = -2*d**3 + 67*d**2 + 223*d - 286. Let l(b) = b**3 + 2*b**2 - 3*b - 2. Let t(o) = -4*l(o) - 4*q(o). Factor t(x).
4*(x - 72)*(x - 1)*(x + 4)
Let o(v) = 43*v**2 - 79*v + 90. Let p(c) = 79*c**2 - 159*c + 179. Let x(s) = -11*o(s) + 6*p(s). Determine m so that x(m) = 0.
1, 84
Let t = -7870 + 7877. Let b(i) be the first derivative of -t + 2/21*i**3 + 18/7*i**2 + 162/7*i. Determine n so that b(n) = 0.
-9
Let n(c) = 17 + 11*c**3 - 29*c**2 + 4 - 6*c**2 - c + 4. Let x(q) = 16*q**3 - 52*q**2 - 2*q + 38. Let w(b) = -7*n(b) + 5*x(b). What is f in w(f) = 0?
-1, 1, 5
Let p(n) = n**4 - 44*n**3 - 71*n**2 - 14*n + 18. Let h(x) = -7*x**4 + 179*x**3 + 285*x**2 + 55*x - 71. Let y(f) = 2*h(f) + 9*p(f). Solve y(v) = 0 for v.
-5, -2, -1, 2/5
Let m = 7315/59 + -125. Let b = m - -239/177. Factor -p**2 + 1/3*p**4 + 1/3*p - b*p**3 + 2/3.
(p - 2)*(p - 1)*(p + 1)**2/3
Let p(m) be the first derivative of -3*m**4/8 + 6*m**3 - 1461. Factor p(h).
-3*h**2*(h - 12)/2
Let d(f) be the second derivative of f**6/30 - 19*f**4/4 - 100*f**3/3 - 72*f**2 + 6*f - 61. Factor d(v).
(v - 9)*(v + 1)*(v + 4)**2
Let w(d) = -d**2 - 760*d - 11902. Let a be w(-16). Factor -35/3*z + 5/6*z**a + 0.
5*z*(z - 14)/6
Let x(d) be the third derivative of -d**7/252 - 19*d**6/24 - 223*d**5/72 + 95*d**4/24 + 280*d**3/9 + 2095*d**2. What is z in x(z) = 0?
-112, -2, -1, 1
Factor -163577 + 1470*y + 163577 - 5*y**2.
-5*y*(y - 294)
Let c(f) be the first derivative of 4/3*f**3 - 80*f - 168 + 2*f**2. Determine x so that c(x) = 0.
-5, 4
Let h(u) = -2*u + 30. Let c be h(0). Factor c*s**2 + 3*s**3 - 39*s - 96 + 1 + 29.
3*(s - 2)*(s + 1)*(s + 11)
Find c, given that -1512/19 - 12/19*c**4 + 276/19*c**2 + 18*c 