/2*y**3 + 7/2*y**2 + 37*y - 68 = 0?
-4, 2, 17/5
Factor 2/9*a**3 - 4/9*a**2 - 128/9 - 80/9*a.
2*(a - 8)*(a + 2)*(a + 4)/9
Let s(f) be the first derivative of 20 + 5/3*f**3 - 11/5*f**2 + 31/40*f**4 + 4/5*f - 31/50*f**5 - 7/30*f**6. Let s(y) = 0. Calculate y.
-2, 2/7, 1/2, 1
Let n = 2/43965 - 2525603/1274985. Let j = 7/29 - n. Solve -28/9*a - 4/3 + 4/9*a**5 + j*a**4 + 8/3*a**3 - 8/9*a**2 = 0 for a.
-3, -1, 1
Let m(f) be the first derivative of -f**4/12 + f**3/3 - 184*f + 177. Let s(j) be the first derivative of m(j). Factor s(l).
-l*(l - 2)
Let o = 835 - 538. Factor 16 + 30*h + 130*h + 243*h**4 + 900*h**3 + 22*h**5 + 580*h**2 + o*h**4 + 86*h**5.
4*(h + 2)**2*(3*h + 1)**3
Let c(b) be the third derivative of 35*b**7/18 + 7*b**6/36 + b**5/180 + 1842*b**2 + 2*b. Factor c(v).
v**2*(35*v + 1)**2/3
Let b be ((-30)/(-4 + 1))/(-12 + 4 + 10). Let c(s) be the first derivative of 1/6*s**6 + 0*s + 3/4*s**4 - 6 + 0*s**2 + 3/5*s**b + 1/3*s**3. Factor c(x).
x**2*(x + 1)**3
Let c = 89006 - 178009/2. Let -1/4*p**2 + c*p - 9/4 = 0. What is p?
3
Let h(g) be the second derivative of 0 - 74*g + 0*g**2 - 1/15*g**4 + 4/15*g**3. Factor h(j).
-4*j*(j - 2)/5
Let i(n) = -18*n - 139. Let s be i(-8). Find h, given that -3*h**4 + 4*h + 590 + s*h**4 - 4*h**3 - 592 = 0.
-1, 1
Let w(u) = -10*u**2 - 525*u + 2264. Let r be w(4). Solve r + 82/9*h**2 - 94/9*h + 2/9*h**4 - 26/9*h**3 = 0 for h.
1, 2, 9
Let x(c) be the third derivative of -c**7/105 - 7*c**6/6 + 201*c**5/10 - 135*c**4 + 468*c**3 - 13*c**2 - 77. Factor x(w).
-2*(w - 3)**2*(w - 2)*(w + 78)
Let y be (4266/(-999))/79 + 3/(1110/464). Solve -36/5*k**2 + 12/5 - 3/5*k - y*k**4 + 33/5*k**3 = 0.
-1/2, 1, 4
Suppose -2*a = -4*c, -8*c + 10*c + 4*a = 30. Let x(m) be the first derivative of 0*m**2 + c*m**3 - 19 - 3*m**4 + 0*m + 3/5*m**5. Factor x(q).
3*q**2*(q - 3)*(q - 1)
Let z(g) = -g - 1. Let l(p) = -2*p**3 - 18*p**2 - 11*p + 24. Let k(v) = -l(v) - 2*z(v). Let f be k(-8). Solve -3/7*w**4 - 9/7*w**f + 9/7*w**3 + 0 + 3/7*w = 0.
0, 1
Let w = 34 - 22. Let k be 4/w*3 - -20. Solve -k*a**2 + 2 + 6*a**2 + 16*a**2 + 3*a = 0.
-2, -1
Let z = -7984/9 + 888. Let t(d) = -33*d**2 - 7230*d - 655. Let n be t(-219). Suppose 2/3*q**n + z + 16/9*q = 0. Calculate q.
-2, -2/3
Let c(q) be the second derivative of -q**5/30 - 32*q**4/9 + 131*q**3/9 - 22*q**2 + 19*q + 1. Determine h, given that c(h) = 0.
-66, 1
Let h(g) be the first derivative of 2 + 5/18*g**3 + 1/36*g**5 + 5/36*g**4 + 11/2*g**2 + 0*g. Let l(o) be the second derivative of h(o). Factor l(d).
5*(d + 1)**2/3
Suppose 3*p - s = -3276, 2808 + 468 = -3*p - 5*s. Let x = 2283/2 + p. Find r, given that 27 + 7/3*r**4 + 36*r**2 + 13*r**3 + 1/6*r**5 + x*r = 0.
-3, -2
Let h(r) = 14*r**3 + 110*r**2 - 242*r - 330. Let m(z) = 17*z**3 + 110*z**2 - 244*z - 327. Let a(b) = 5*h(b) - 4*m(b). Solve a(q) = 0.
-57, -1, 3
What is k in -59*k - 13*k**2 - 8 - k**2 - 53*k**2 + 329*k = 0?
2/67, 4
Let t(j) be the first derivative of -j**6/18 - 2*j**5/15 + 5*j**4/4 + 20*j**3/9 - 22*j**2/3 - 16*j + 2452. Suppose t(x) = 0. What is x?
-4, -2, -1, 2, 3
Suppose -1/2*f**3 - 18496 - 137*f**2 - 9520*f = 0. Calculate f.
-136, -2
Let y(c) be the third derivative of -1/19*c**4 + 2*c + 0 - 1/570*c**5 + 13/57*c**3 - 21*c**2. Solve y(k) = 0 for k.
-13, 1
Let q be 148/14*(-8)/((-80)/35). Find d such that 6 - 56*d - 6*d**5 + q + 4*d**4 + 54*d**3 - 60*d**2 + 5 = 0.
-3, -1, 2/3, 2
Determine h so that 0 - 98/5*h**2 - 6/5*h**3 - 392/5*h = 0.
-28/3, -7, 0
Let d(h) be the first derivative of -5*h**2 - 20*h + 27. Let v be d(-5). Factor 94*o**2 - v + 25*o - 181*o**2 + 97*o**2 - 5*o**3.
-5*(o - 3)*(o - 1)*(o + 2)
Let f be 7/(525/(-10)) + (-7 - (-88)/12). Let l(h) be the first derivative of -f*h**4 + 4/5*h**3 - 6/5*h**2 - 24 + 4/5*h. Factor l(a).
-4*(a - 1)**3/5
Let t be -46 - -30 - (1136/(-28) + -4). Find i, given that -30/7*i - 12/7*i**2 + t + 2/7*i**3 = 0.
-4, 5
Let j(k) = 2*k**3 + 12*k**2 - 8*k - 18. Let a be j(-13). Let q be 4/6 - (a/9 - -1). Solve -253 + 5*r**2 + 25*r + 10*r + q = 0 for r.
-7, 0
Let q be -5 - 1 - -1 - (-32)/16. Let s be (-6)/(-2)*(22/6 + q). Determine t, given that -7*t**2 + 3*t**s + 6*t - 2*t = 0.
0, 1
Factor 62/7*o**2 + 26/7*o**3 + 0 - 90/7*o + 2/7*o**4.
2*o*(o - 1)*(o + 5)*(o + 9)/7
Let m(u) = -22*u**2 - 214*u + 224. Let j(g) = 28*g**2 + 212*g - 225. Let v(c) = -4*j(c) - 5*m(c). Factor v(p).
-2*(p - 110)*(p - 1)
Let t(r) be the first derivative of r**4/3 + 4*r**3 + 10*r**2 + 236*r + 16. Let w(v) be the first derivative of t(v). Find a, given that w(a) = 0.
-5, -1
Let d(o) be the third derivative of 0 + 19*o**2 + 1/16*o**4 - 2*o + 1/120*o**5 + 1/6*o**3. Factor d(v).
(v + 1)*(v + 2)/2
Let i = 657 + -657. Factor -a**3 - 4*a**2 - 189 - 2*a**2 + 181 + i*a**2 + 15*a.
-(a - 1)**2*(a + 8)
Suppose 411 = -5*f + 3*s + 464, 7*f - 72 = 4*s. Let -784/17*d - 76/17*d**3 + 24*d**2 + 512/17 + 2/17*d**f = 0. What is d?
2, 32
Let b = 2063/5 + -3802/5. Let l = -347 - b. Suppose 0 + l*u**2 - 4/5*u = 0. Calculate u.
0, 1
Suppose 0 = 3*b - 2*b - 73*c + 219, -3*b = 3*c - 9. Factor -5/2*d**3 + 25/2*d**2 + 0 + b*d.
-5*d**2*(d - 5)/2
Let m be (-4 + 2 - (-9)/12)/((-110)/8). Factor m*h**3 + 32/11 + 10/11*h**2 + 32/11*h.
(h + 2)*(h + 4)**2/11
Suppose 10*o = 259 + 21. Solve 355*v**3 - o*v - 98*v**2 - 373*v**3 + 19*v**2 - 51*v**2 = 0 for v.
-7, -2/9, 0
Let d(r) be the second derivative of 1/12*r**4 + 4 + 26*r + r**3 - 1/30*r**6 + 0*r**2 - 3/10*r**5. Factor d(c).
-c*(c - 1)*(c + 1)*(c + 6)
Let g be (-2056)/24 - (-60)/36. Let f = g + 84. Factor 8/3*y**2 + f - 4*y.
4*y*(2*y - 3)/3
Let s = -1458 - -2921/2. Let k(x) be the first derivative of 0*x - s*x**2 - 45*x**4 - 20*x**3 + 13. Factor k(a).
-5*a*(6*a + 1)**2
Let x(c) be the first derivative of -2*c**5/65 - 2*c**4/13 + 14*c**3/13 + 102. Let x(n) = 0. What is n?
-7, 0, 3
Factor 12538681/2 + 3541*q + 1/2*q**2.
(q + 3541)**2/2
Let 123*i + 106 - i**2 + 90 - 87 + 141 = 0. Calculate i.
-2, 125
Let p(g) be the third derivative of -2*g**7/105 - 383*g**6/180 - 272*g**5/9 - 1228*g**4/9 + 896*g**3/9 + 17*g**2 - 20*g - 1. Find c such that p(c) = 0.
-56, -4, 1/6
Let t(y) = -43*y + 2324. Let m be t(54). Let r(v) be the first derivative of 32 - 10*v**m - 4/3*v**3 + 0*v. Factor r(f).
-4*f*(f + 5)
Let v = 255 + -228. What is y in y**2 - v*y - 6 + 4*y + 18*y = 0?
-1, 6
Factor -m**3 + 1104*m**2 + 1357*m**2 - 176399*m + 177241 - 4385*m**2 + 1083*m**2.
-(m - 1)*(m + 421)**2
Let n(w) = -7*w**2 + 46*w - 123. Let g(k) = -8*k**2 + 44*k - 124. Let p(v) = -5*v + 127. Let q be p(26). Let y(d) = q*g(d) + 4*n(d). Factor y(b).
-4*(b - 10)*(b - 3)
Suppose 4*z + 4*t - 24 = 0, -6*z + 9*z + t - 10 = 0. Suppose 112*h**z - 310*h - 50*h**4 - 110*h**3 + 149*h + 137*h = 0. Calculate h.
-3, 0, 2/5
Let v(z) be the first derivative of 7 - 3/2*z**2 + 5/2*z + 1/6*z**3. Find s such that v(s) = 0.
1, 5
Let q(v) be the first derivative of -v**4/12 + 5*v**3/3 + 3*v**2 - 32*v/3 + 2852. Factor q(a).
-(a - 16)*(a - 1)*(a + 2)/3
Determine w so that 0 + 2/3*w**4 + 46/3*w**2 + 22/3*w + 26/3*w**3 = 0.
-11, -1, 0
Suppose 25*l - 28*l = -51. Let j be (l - 0) + (10 - 12). Factor 371*t - j*t**2 + 5*t**3 + 20 - 371*t.
5*(t - 2)**2*(t + 1)
Let n(z) be the second derivative of -3/2*z**5 + 2*z - 27 - 15*z**4 + 1/6*z**6 + 0*z**2 - 100/3*z**3. Find u such that n(u) = 0.
-2, 0, 10
Find y, given that 27 + 64 + 19 - 34*y**5 - 62 + 61*y**5 - 105*y**3 - 12*y - 180*y**2 + 42*y**4 = 0.
-2, -1, 4/9, 2
Let f(n) be the third derivative of 91*n**5/45 - 25*n**4/18 - 4*n**3/3 + n**2 - 476*n. Factor f(u).
4*(7*u - 3)*(13*u + 2)/3
Let q(j) be the third derivative of -j**5/150 - 583*j**4/30 + 2336*j**3/15 + 271*j**2 - j + 1. Factor q(b).
-2*(b - 2)*(b + 1168)/5
Let z(u) be the second derivative of -u**4/12 - 2*u**3 + 13*u**2/2 + 4*u - 2. Factor z(b).
-(b - 1)*(b + 13)
Suppose 3041 + 179 = 644*d. What is o in 4/7*o**3 + 0*o**4 - 2/7*o**d + 0 - 2/7*o + 0*o**2 = 0?
-1, 0, 1
Let j be (-1)/((-14751)/(-88))*(0 - 12). Let x = 75256/2235 - j. Let -x*l**5 + 0*l + 4*l**3 - 8/5*l**2 + 76/5*l**4 + 0 = 0. What is l?
-1/3, 0, 2/7, 1/2
Let a be 582/189 - 3164/13447*17/18. Determine k, given that -a*k**2 - 8*k - 16/7 + 6/7*k**4 + 2*k**3 = 0.
-2, -1/3, 2
Let q(n) = -4*n**2 + 4*n - 7. Let x(k) = 3*k**2 - 3*k + 8. Let w(s) = -s**3 - 10*s**2 - 9*s + 5. Let i be w(-9). Let c(p) = i*x(p) + 4*q(p). Factor c(