m - 1/3*m**p + 0.
-m*(m + 5)/3
Let v(g) = 239*g**3 + 236*g**2 - 412*g - 30. Let c(h) = -8*h**3 - 2*h**2 - h. Let f(d) = -3*c(d) - v(d). Suppose f(t) = 0. Calculate t.
-2, -3/43, 1
Let x(s) be the third derivative of -s**5/140 + 85*s**4/28 - 24*s**3 + 42*s**2 + 6. Factor x(i).
-3*(i - 168)*(i - 2)/7
Factor -1164/5*b - 1167/5 + 3/5*b**2.
3*(b - 389)*(b + 1)/5
Let l(c) be the first derivative of -c**2 - 16/7*c + 39 + 2/21*c**3. Factor l(g).
2*(g - 8)*(g + 1)/7
Let m = -117255/11 + 18163063/1705. Let r = -41/31 - m. Factor 21/5*w**2 + 12*w - r*w**3 + 12/5.
-3*(w - 2)*(w + 1)*(9*w + 2)/5
Let p be 3216/670 - 8/10. Let s(k) be the third derivative of -9/10*k**5 - 1/5*k**6 - 1/70*k**7 + 0 - 2*k**2 + 0*k**p + 27/2*k**3 + 0*k. Factor s(i).
-3*(i - 1)*(i + 3)**3
Let i be (-5 - (-11)/3)/((-64)/36). Suppose -3*f - 5*n = -0*f + 11, 2*n = f - 11. Let 9/4*s + i*s**2 - f = 0. Calculate s.
-4, 1
Let i(h) be the second derivative of 21*h + 625/12*h**4 + 2*h**2 - 50/3*h**3 + 0. Suppose i(a) = 0. Calculate a.
2/25
Let m(x) be the first derivative of x**4/2 - 16*x**3 - 396*x**2 - 2592*x - 2131. Factor m(f).
2*(f - 36)*(f + 6)**2
Suppose -1752*w + 1728*w = -48. Let m(t) be the third derivative of 0*t + 1/420*t**7 - 1/12*t**4 + 1/48*t**6 + 0 - 2/3*t**3 + 9*t**w + 1/20*t**5. Factor m(u).
(u - 1)*(u + 2)**3/2
Let s(f) = 20*f - 59. Let r be s(38). Let z = r + -701. Factor 2/11*x**5 + 0*x + 6/11*x**4 + 0 + 4/11*x**3 + z*x**2.
2*x**3*(x + 1)*(x + 2)/11
Let k(g) be the first derivative of -g**5/5 - 10*g**4 + 107*g**3 + 9630*g**2 + 18900*g + 3582. Let k(s) = 0. Calculate s.
-30, -1, 21
Suppose 3*j + 13 = 2*w, 5*w + 0*j - 24 = -j. Suppose 2*o - n - 5 = 0, o = 6*o + 5*n - w. Solve 4*u + 4 - 4*u**2 + u**2 - 4*u**3 - 3*u**2 + 2*u**o = 0 for u.
-1, 1
Factor 0*y + 2/9*y**5 - 2304*y**2 + 160*y**3 + 0 + 128/9*y**4.
2*y**2*(y - 8)*(y + 36)**2/9
Factor 17 - 721 + 2*x**4 + 1117973*x**3 - 60*x**2 - 1117999*x**3 - 3*x**4 + 584*x.
-(x - 2)**2*(x + 8)*(x + 22)
Let o(t) be the third derivative of 392/15*t**3 + 7*t**4 - 16*t**2 + 1/600*t**6 + 19/100*t**5 + 0 - 4*t. Solve o(w) = 0.
-28, -1
Factor 46/5*j + 448/5 + 1/5*j**2.
(j + 14)*(j + 32)/5
Let k(l) be the first derivative of 0*l**4 + 32*l - 4/5*l**5 + 63 + 36*l**2 + 44/3*l**3. Let k(w) = 0. Calculate w.
-2, -1, 4
Let k(f) be the second derivative of -22*f**6/45 + 8*f**5/5 + 28*f**4/3 - 32*f**3/9 - 2312*f. Suppose k(g) = 0. What is g?
-2, 0, 2/11, 4
Let r(a) = -20*a**4 + 460*a**3 - 10595*a**2 - 30*a. Let s(d) = d**4 + d**2 + 2*d. Let u(l) = r(l) + 15*s(l). Factor u(y).
-5*y**2*(y - 46)**2
Let o(g) be the third derivative of 4563/35*g**5 + 7*g**2 - 78/7*g**4 + 8/21*g**3 - 4*g + 0. What is s in o(s) = 0?
2/117
Let d be (6*1/(-5))/((-60)/1050). Let p be (-4 - (-98)/d)/(10/36). Factor -3/5*w**4 + 0 + 0*w**2 + 0*w + 0*w**3 - p*w**5.
-3*w**4*(4*w + 1)/5
Let y be (2/4)/(2/(-8)). Let c(n) = -10*n - 5. Let h be c(y). Suppose h*u**2 - 94*u**3 + 119*u**3 - 25*u - 13*u**4 - 7*u**4 + 5 = 0. Calculate u.
-1, 1/4, 1
Let n(b) be the first derivative of -3*b**4/14 + 768*b**3/7 - 147456*b**2/7 + 12582912*b/7 - 1300. Factor n(z).
-6*(z - 128)**3/7
Suppose -1191*z + 1153*z + 38 = 0. Let j(q) = -2*q**2 + 3*q + 6. Let g(m) = m**2 + m**2 - m**2. Let k(b) = z*g(b) - j(b). Factor k(r).
3*(r - 2)*(r + 1)
Let a(n) = 2*n**3 - 32*n**2 + 2*n - 2. Let v be a(16). Let g be (v/(-7))/((-30)/(-21) + -2). Factor 25/4 - g*l + 5/4*l**2.
5*(l - 5)*(l - 1)/4
Find x, given that 5*x**2 + 118148 - 1940*x - 19514 + 89546 = 0.
194
Let i(p) be the first derivative of p**5 - 75*p**4/2 + 140*p**3 - 205*p**2 + 135*p - 2596. Let i(c) = 0. What is c?
1, 27
Let q = -1207 + 162946/135. Let m(f) be the second derivative of 20/9*f**3 + 31*f - 1/9*f**5 + 0 + q*f**6 + 4*f**2 + 13/54*f**4. Solve m(d) = 0.
-1, 6
Let r(b) = -10*b**4 + 33*b**3 - 127*b**2 + 141*b - 64. Let a(i) = 18*i**4 - 67*i**3 + 249*i**2 - 283*i + 128. Let o(s) = 3*a(s) + 5*r(s). What is m in o(m) = 0?
1, 2, 4
Let i be 85/(1105/182) + (-16 - -2). Suppose 0*l**3 + 2/5*l**5 + i*l + 0 - 8/5*l**2 + 6/5*l**4 = 0. Calculate l.
-2, 0, 1
Let f(i) be the second derivative of -49*i**4/54 + 4004*i**3/27 - 81796*i**2/9 + 252*i. Suppose f(x) = 0. Calculate x.
286/7
Let m be (-240)/(-156) + (-84)/(-182). Let 5/3*c**3 + 0*c - 1/3*c**4 + 0 + 2*c**m = 0. What is c?
-1, 0, 6
Suppose -47 = 3*g + 4*d, 2*g + 50 = -2*d - 2*d. Suppose 2/9*y**4 + 22/9*y**2 + 0 - 4/3*y**g - 4/3*y = 0. Calculate y.
0, 1, 2, 3
Suppose -a - 36 = -20. Let z be ((-24)/a)/(9/12). Solve -3/5*n**3 + 3/5*n**z + 6/5*n + 0 = 0.
-1, 0, 2
Let c(k) be the second derivative of 125/2*k**2 - 25/6*k**3 + k - 20 + 5/48*k**4. Find w, given that c(w) = 0.
10
Let r(i) be the first derivative of 17*i**4/8 - 5*i**3/2 - 9*i**2 - 2*i - 1818. Let r(o) = 0. What is o?
-1, -2/17, 2
Let h(w) be the third derivative of -w**7/504 - 3*w**6/8 - 243*w**5/8 + 65*w**4/12 + 95*w**2. Let t(f) be the second derivative of h(f). Factor t(g).
-5*(g + 27)**2
Suppose 0 = -5*w + 10, 3*w - 2*w + 23 = 5*n. Find t such that 896*t**3 + 375*t**4 + 140*t**2 - 45*t**n - 523*t**3 - 813*t**3 = 0.
0, 2/3, 7
Let j(w) be the second derivative of -61*w**6/120 - w**5/30 + 291*w**2/2 - 20*w + 3. Let h(x) be the first derivative of j(x). Factor h(l).
-l**2*(61*l + 2)
Let y be -16 + 4 + 12 + 3 - (-33)/(-12). Determine r, given that -7/4 - y*r**4 - 11/2*r - 5/2*r**3 - 6*r**2 = 0.
-7, -1
Suppose 0 = -5*r - 186*b + 172*b + 2874, 5*r - 5*b - 3045 = 0. Suppose 87/5*g**3 + 162*g**2 + 3/5*g**4 - r + 420*g = 0. Calculate g.
-10, 1
Let k = -1302738/5 - -260548. Determine t, given that 16/5*t + k*t**2 + 32/5 = 0.
-4
Let w(a) = -2*a**2 - 359*a - 10801. Let j(s) = -s**2 - s + 1. Let c(m) = m**2 + 5*m + 7. Let f be c(-3). Let r(p) = f*w(p) + j(p). Factor r(u).
-3*(u + 60)**2
Let d(h) be the second derivative of -2 + 14*h - 1/8*h**4 + 0*h**3 - 1/80*h**5 + 0*h**2. Factor d(s).
-s**2*(s + 6)/4
Let t(o) be the second derivative of o**6/2 - 603*o**5/50 - 843*o**4/20 - 38*o**3 + 54*o**2/5 + 2925*o. Solve t(z) = 0.
-1, 2/25, 18
Let c(z) be the second derivative of -17/18*z**3 + 5/3*z**2 + 2/9*z**4 - 1/60*z**5 - z + 32. Solve c(h) = 0 for h.
1, 2, 5
Suppose 54 = 284*v - 275*v. Let x(w) = w**4 - 5*w**3 - 2*w + 4. Let t(p) = -3*p**4 + 15*p**3 - p**2 + 5*p - 10. Let z(n) = v*t(n) + 17*x(n). Factor z(b).
-(b - 2)**3*(b + 1)
Let v(r) = -27*r**2 - 72*r - 21. Let b be (-117)/27 + (-4)/6. Let q(j) = -11*j**2 - 29*j - 8. Let p(x) = b*v(x) + 12*q(x). Determine c so that p(c) = 0.
-3, -1
Factor 2883/5 + 64/5*c**3 - 1082/5*c**2 + 1736/5*c - 1/5*c**4.
-(c - 31)**2*(c - 3)*(c + 1)/5
Let n(k) be the third derivative of -1/84*k**8 + 8/105*k**7 + 4/15*k**5 - 43*k**2 - 1/5*k**6 + 0*k**3 + 0 - 1/6*k**4 + 0*k. Let n(b) = 0. Calculate b.
0, 1
Determine i so that -1801940*i**2 + 2*i**4 - 17*i**4 + 1801896*i**2 + 2*i**5 - i**5 + 48*i**3 = 0.
0, 2, 11
Suppose 11*r + 114 = 2083. Suppose 10 = 2*t, -3*a + 5*t = -417 - r. Determine s so that -12 + 15*s + 102*s**2 + 102*s**2 - a*s**2 = 0.
1, 4
Let y(i) = 5*i**3 + 2226*i**2 - 739*i - 1478. Let g(k) = -16*k**3 - 6677*k**2 + 2214*k + 4430. Let a(r) = 6*g(r) + 21*y(r). Factor a(l).
3*(l - 1)*(l + 743)*(3*l + 2)
Let r(d) be the second derivative of 7*d**5/10 + 19*d**4/12 - d**3/6 - d - 4. Let l(b) = -b**3 - b. Let s(v) = -12*l(v) + 4*r(v). Factor s(y).
4*y*(y + 1)*(17*y + 2)
Let t be (-82)/656 + 6/16*-5. Let p be -4 - 48/(-56)*(-14)/t. Factor -2/5*a**5 - 6/5*a**4 - 2/5*a**p + 0*a + 0 - 6/5*a**3.
-2*a**2*(a + 1)**3/5
Let s(t) = 8*t**2 - 16*t - 5. Let i(p) = -8*p**2 + 14*p + 6. Suppose 0 = -5*d - 4*j + 42, -3*d + 29*j - 26*j = -9. Let b(g) = d*s(g) + 5*i(g). Factor b(v).
2*v*(4*v - 13)
Let g(b) be the third derivative of -b**6/120 - 27*b**2 + 2. Let a(k) = -k**4 + 33*k**3 - 24*k**2. Let x(z) = -3*a(z) - 24*g(z). Find y, given that x(y) = 0.
0, 1, 24
Factor 18*f**2 + 13*f**2 + 3*f**4 - 21*f**3 - 12*f**2 - 27*f - 28*f**2 - 42*f**2.
3*f*(f - 9)*(f + 1)**2
Suppose -817*c + 9*q = -812*c - 109, 0 = 5*q + 55. Factor -1/2*w**c + 50*w - 1250.
-(w - 50)**2/2
Factor -2960*v**3 - 50*v**4 + 6248*v + 16794*v - 33363*v**2 - 9245*v**2 - 7200 + 12478*v.
-2*(v + 30)**2*(5*v - 2)**2
Let t = 3317 + -16579/5. Let m(c) be the second derivative of 0 - 3*c - 8/5*c**6 - t*c**5 - 1/2*c**3 + 0*c**2 + 7/4*c**4. Determine o, given that m(o) = 0.
-1, 0, 1/4
Let r