12 - 49*k**2/2 - 65. Let g(t) be the second derivative of l(t). Factor g(r).
-(r - 13)**2/2
Let k be ((-2)/(-8))/((-54)/(-48)). Let v be (-172)/(-612) + (-30)/510. Factor 10/9*l + 2/3*l**2 - v*l**4 - k*l**3 + 4/9.
-2*(l - 2)*(l + 1)**3/9
What is n in -110 - 3*n**2 - 9*n**2 + 6*n**2 + 439*n + 10*n**2 = 0?
-110, 1/4
Let g(j) = -j**2 + 9*j - 11. Let r(x) = -5*x + 46 + 7*x - 48. Let a(s) = 2*g(s) - 11*r(s). Factor a(t).
-2*t*(t + 2)
Let b = 68091 - 136179/2. Suppose 6*t + 9/2 - b*t**4 - 6*t**3 - 3*t**2 = 0. Calculate t.
-3, -1, 1
Let r(f) be the second derivative of -f**5/5 + 55*f**4/3 - 1664*f**3/3 + 4056*f**2 - f - 762. Solve r(g) = 0 for g.
3, 26
Let m(r) be the second derivative of -4*r - 6 + 1/3*r**4 - 4*r**3 + 0*r**2. Find z, given that m(z) = 0.
0, 6
Factor -64 - 90 + 100*m - 205 - 41 - 4*m**2.
-4*(m - 20)*(m - 5)
Let x be 14 + -10 + (11 - (-198)/(-18)). Find b such that 8/11 - 2/11*b**x + 6/11*b**2 + 16/11*b - 4/11*b**3 = 0.
-2, -1, 2
Factor 4*m**4 - 3/2*m**5 + 0 + m**2 - 7/2*m**3 + 0*m.
-m**2*(m - 1)**2*(3*m - 2)/2
Let x(i) be the second derivative of i**4/18 - 5*i**3/3 - 76*i**2/3 - 1032*i. What is s in x(s) = 0?
-4, 19
Let z(g) = g**3 + 36*g**2 + 32*g - 86. Let u be z(-35). Factor 20*d**4 + 11*d**2 + 2*d - 7*d**3 - 7*d - u*d**4.
d*(d - 5)*(d - 1)**2
Suppose 4/7*j + 0 - 146/7*j**2 - 228/7*j**3 = 0. What is j?
-2/3, 0, 1/38
Suppose r - 52 = -3*r. Suppose -6 = -r*g + 11*g. Solve -34*n**2 + 8*n + 10*n**g + 8*n - 10*n**2 = 0 for n.
0, 2/5, 4
Let c(x) = -1. Let d(p) = 20*p**2 - 48*p - 72. Let n(i) = -4*i**2 - i + 1. Let g be n(1). Let a(f) = g*c(f) + d(f). Factor a(b).
4*(b + 1)*(5*b - 17)
Let i(z) be the first derivative of -3*z**5/5 + 21*z**4/4 - 18*z**3 + 30*z**2 - 24*z - 747. Factor i(l).
-3*(l - 2)**3*(l - 1)
Factor -1308 - 295*s**3 + 981*s**2 - 235*s - 41*s**3 + s**4 + 2*s**4 + 247*s.
3*(s - 109)*(s - 2)**2*(s + 1)
Let w(g) = g**4. Let h(z) = -z**4 + 3*z**3 + z**2 + 3*z + 3. Let a(t) = t**4 + t**3 + t + 1. Let y(p) = 6*a(p) - 2*h(p). Let q(s) = -6*w(s) + y(s). Factor q(k).
2*k**2*(k - 1)*(k + 1)
Suppose -18 = -7*m + m. Let c = 2 - -15. What is j in -j**4 + 6*j**2 - 10*j**m + c*j - 5*j**4 - 7*j = 0?
-5/3, -1, 0, 1
Let v(u) = 13*u**2 + 145*u - 8. Let h(c) = -24*c**2 - 290*c + 14. Let d(p) = -4*h(p) - 7*v(p). Factor d(q).
5*q*(q + 29)
Let l(j) be the third derivative of -j**6/40 + 1959*j**5/20 - 1279227*j**4/8 + 278445077*j**3/2 + 1007*j**2 + 2. Let l(c) = 0. Calculate c.
653
Let c = -42 + 138. Factor 194 + 1271 + q**2 + 1415 - c*q - 576.
(q - 48)**2
Suppose r = 109*y - 110*y - 8, -4*y + 3*r + 24 = 0. Factor y - 2/7*k**4 - 22/7*k**3 + 0*k + 0*k**2.
-2*k**3*(k + 11)/7
Let i(t) be the second derivative of 14/51*t**3 - 1/102*t**4 + t - 19 - 13/17*t**2. Find z, given that i(z) = 0.
1, 13
Let v be 0 - 28/(-6) - 64/96. Determine u so that 20*u**3 + 42*u**4 - 5*u**2 - 50*u**5 + 54*u - 7*u**v - 54*u = 0.
-1/2, 0, 1/5, 1
Let w(o) be the second derivative of -2*o**7/21 - 4*o**6/15 + o**5 + 10*o**4/3 - 8*o**3/3 - 16*o**2 - 63*o + 26. Let w(p) = 0. Calculate p.
-2, -1, 1, 2
Let a(n) = 5*n**3 + 2*n**2 + n + 2. Let h(y) = 23*y**3 + 9*y**2 + 3*y + 8. Let f(r) = -9*a(r) + 2*h(r). Factor f(d).
(d - 2)*(d + 1)**2
Suppose -5*n = -3*d - 161, 0*d - 5*d - 3*n - 291 = 0. Let o = 61 + d. Factor -5*w - 10*w**2 - 2*w**3 - 6*w**3 + 4*w - 3*w - 2*w**o.
-2*w*(w + 1)**2*(w + 2)
Let o(k) be the first derivative of -k**7/168 - 5*k**6/72 - k**5/3 - 5*k**4/6 - 56*k**3/3 - 104. Let s(c) be the third derivative of o(c). Factor s(i).
-5*(i + 1)*(i + 2)**2
Let l = -64723/7 + 9247. Factor -l*k + 0 + 2/7*k**4 - 2/7*k**3 - 10/7*k**2.
2*k*(k - 3)*(k + 1)**2/7
Let 240 - 40*t + 5/3*t**2 = 0. What is t?
12
Let i(q) = 35*q**2 - 1362*q - 597. Let x(t) = 315*t**2 - 12260*t - 5375. Let l(m) = 55*i(m) - 6*x(m). Factor l(y).
5*(y - 39)*(7*y + 3)
Let l(c) = -7*c**3 - 152*c**2 + 13*c. Let k(w) = w**2 + 30*w + 203. Let n be k(-18). Let a(p) = 3*p**3 + 75*p**2 - 6*p. Let u(i) = n*a(i) - 6*l(i). Factor u(m).
3*m**2*(m - 21)
Let n(q) = -7*q**3 - q**2 - 3*q - 4. Let j be n(-3). Suppose 20*y = 1 + 39. Factor 18 - 16*a - 189*a**2 - 7 + 9 + j*a**y.
-4*(a - 1)*(a + 5)
Let r(g) = 280*g + 3083. Let z be r(-11). Factor 0 - 2/13*p**4 + 16/13*p - 24/13*p**2 + 12/13*p**z.
-2*p*(p - 2)**3/13
Suppose -3*t + 2*t + 6 = 0. Suppose -2*u - 2 + t = 0. What is a in u - a**4 - 7*a + 3*a**3 - a**2 + 4*a + 0*a = 0?
-1, 1, 2
Let d(p) = -9*p + 10. Let k be d(1). Let x(g) = g**3 + g**2 - g. Let j(s) = 5*s**4 + 10*s**2 - 10*s. Let o(a) = k*j(a) - 10*x(a). Determine m so that o(m) = 0.
0, 2
Let i(y) be the second derivative of 5*y**4/12 - 125*y**3/6 - 65*y**2 + 13*y + 401. Suppose i(u) = 0. Calculate u.
-1, 26
Let v(t) = t**2 - 2*t + 1. Let d be v(-3). Let u(i) = 3*i**3 + 11*i**2 + 7*i + 14. Let k be u(-3). Suppose -4*r**3 + k - 27 + d - 16*r**2 = 0. What is r?
-4, 0
Let w(f) = f**2 - 5. Let s(k) = -4*k**4 - 240*k**3 - 918*k**2 - 896*k + 30. Let x(j) = -s(j) - 6*w(j). Factor x(c).
4*c*(c + 2)**2*(c + 56)
Suppose 5*w - 4*w + 19 = 5*y, -1 = 5*y + 4*w. Let p(u) be the first derivative of 1/2*u**4 + 0*u**y + 0*u - 5 - u**2. Let p(s) = 0. Calculate s.
-1, 0, 1
Suppose -5*l + 18 = 2*w, -3 + 7 = 4*l - w. Let g = 1/201 - -797/1407. Suppose -6/7 + g*q + 2/7*q**l = 0. What is q?
-3, 1
Let z(k) be the second derivative of -k**5/100 - 346*k**4/5 - 957728*k**3/5 - 1325495552*k**2/5 + 8*k - 103. Factor z(i).
-(i + 1384)**3/5
Let h be (4 - 429/44) + (-19795)/(-2996). Factor 0 + h*a**2 - 330/7*a.
6*a*(a - 55)/7
Let v(j) be the third derivative of j**6/120 - 28*j**5/3 - 2495*j**2. Determine t so that v(t) = 0.
0, 560
Let p = 10123 - 10114. Let h(r) be the second derivative of 1/5*r**5 - p*r + 0*r**4 + 1/30*r**6 + 0 + 0*r**2 + 0*r**3. Determine x so that h(x) = 0.
-4, 0
Find o such that -118/7*o + 3481/7*o**2 + 1/7 = 0.
1/59
Let c = 18/39509 + 276527/79018. Factor 22*i - 6 - c*i**2.
-(i - 6)*(7*i - 2)/2
Factor -399*a + 3879498 + a**2 - 10083*a + 2*a**2 + 5276529.
3*(a - 1747)**2
Let w = -358256 + 358259. Let -3*z**w + 2/3 + 20/3*z**2 - 13/3*z = 0. What is z?
2/9, 1
Suppose -22*o = 10008 - 38432. Let m be (o/(-209) - -6)/((-1)/11). Factor -6/5 - 7/5*s - 1/5*s**m.
-(s + 1)*(s + 6)/5
Suppose 4*f - 39 = -11. Let g = 807 - 804. Factor l + f*l**3 + 20*l**2 + 14*l - 2*l**g.
5*l*(l + 1)*(l + 3)
Let j(t) be the third derivative of -1/540*t**5 + 0 - 8/9*t**3 + 0*t - 213*t**2 + 49/216*t**4. Factor j(z).
-(z - 48)*(z - 1)/9
Let c(x) = x**4 + x**3 - x**2 + x - 1. Let q(s) = -3*s**4 + 402*s**3 - 8392*s**2 + 15602*s - 7607. Let v = -373 - -372. Let j(r) = v*q(r) + 2*c(r). Factor j(y).
5*(y - 39)**2*(y - 1)**2
Solve 0 - 2/19*w**3 - 520/19*w + 264/19*w**2 = 0 for w.
0, 2, 130
Let y be (-13015)/(-228) + (-2)/24 + 4. Suppose -113 - y = -58*x. Suppose -2/15*l**x - 8/15 - 2/3*l**2 - 16/15*l = 0. Calculate l.
-2, -1
Let l = 36304 - 36272. Let r(y) be the second derivative of -l*y + 242*y**2 + 1/3*y**4 + 44/3*y**3 + 0. What is c in r(c) = 0?
-11
Suppose 176/5*v + 2/5*v**5 - 36/5*v**2 - 178/5*v**3 + 0 + 36/5*v**4 = 0. Calculate v.
-22, -1, 0, 1, 4
Let k be (27 - 9)*(7 + (-725)/105). Factor 1/7*v**2 + 36/7 + k*v.
(v + 6)**2/7
Suppose 5*x - 600 = -4*v, x - 2 = 5*v - 723. Let g be 24/(-48) + v/210. Factor g*k - 22/21*k**2 + 8/7*k**3 + 0 + 6/7*k**4.
2*k*(k + 2)*(3*k - 1)**2/21
Let d(k) be the third derivative of -63*k**2 + 0*k + 0 - 49/48*k**4 + 0*k**3 - 1/120*k**5. Factor d(o).
-o*(o + 49)/2
Factor 8/13*a - 24/13*a**2 - 12/13*a**4 + 2/13*a**5 + 0 + 2*a**3.
2*a*(a - 2)**2*(a - 1)**2/13
Let w(c) be the second derivative of c**7/2940 + c**6/60 + 19*c**5/210 - c**3/3 - 11*c**2/2 + 93*c. Let d(a) be the second derivative of w(a). Factor d(b).
2*b*(b + 2)*(b + 19)/7
Let d be 1934/428 + (-1646)/88061. What is p in 3*p**2 + 21/2*p + d = 0?
-3, -1/2
Solve -28*h**3 + 11715*h**2 - 177*h**3 - 12168 + 8*h**4 - 407*h**3 + 18876*h - 491*h**2 = 0.
-2, 1/2, 39
Let h(t) be the third derivative of -t**5/180 - t**4/12 + 91*t**3/18 - 1439*t**2. Suppose h(r) = 0. What is r?
-13, 7
Let i(c) = 14*c**2 - 219*c - 499. Let r(o) = -16*o**2 + 214*o + 498. Let a(m) = 6*i(m) + 5*r(m). Solve a(g) = 0 for g.
-2, 63
Suppose 21*i - 594 = -6. Suppose -3*s - 1 = 5*m, 11 = -i*s + 31*s - m. Factor 20/7*x**2 - 104/7*x**s + 145/7*x**4 + 0 - 25/7*x**5 + 0*x.
-x**2*(x - 5)*(5*x - 2)**2/7
Let g(x) be the 