 + 420 - 615*y + 5*y**2 - 3*y**2.
2*(y + 14)*(y + 15)
Solve 70304/7 + 312/7*y**2 + 4/7*y**3 + 8112/7*y = 0.
-26
Let u(p) = p**3 - 2*p**2 - 3*p - 4. Let k be (-3)/(-2)*290/87. Let a(m) = -m**2 + m - 2. Let v(z) = k*u(z) - 20*a(z). Let v(j) = 0. Calculate j.
-4, 1
Let b(o) = -5 - 41 - 43 + 90. Let k(a) be the first derivative of a**4/2 - 10*a**3/3 + 3*a**2 + 10*a + 1. Let y(j) = -8*b(j) - k(j). Factor y(z).
-2*(z - 3)**2*(z + 1)
Let d(f) be the first derivative of f**5/20 + 19*f**4/4 + 361*f**3/3 - 392. Find y such that d(y) = 0.
-38, 0
Let w = 1159 - 1156. Let c(i) be the second derivative of 0*i**5 + 0*i**2 + 1/210*i**7 + 0*i**4 - 1/150*i**6 + 8*i + 0*i**w + 0. Solve c(t) = 0 for t.
0, 1
Solve -176*f**3 + 211242*f - 243750 + 178*f**3 - 35652 - 137914 - 1296*f**2 = 0.
2, 323
Let d(h) be the third derivative of -25/6*h**3 + 0*h + 5/336*h**8 + 0 + 1/14*h**7 - 5/12*h**6 + 1/6*h**5 + 15/8*h**4 - 221*h**2. Determine o so that d(o) = 0.
-5, -1, 1
Let w be (0/3)/(((-27)/(-6))/(360/160)). Suppose -2/7*q**3 - 2/7*q**4 + w*q**2 + 0*q + 0 = 0. What is q?
-1, 0
Let g(k) be the first derivative of k**3/3 + k**2/2 - 2*k + 120. Let h(x) = 25*x**2 - 180*x - 40. Let o(a) = -20*g(a) + h(a). Factor o(d).
5*d*(d - 40)
Let c(k) be the second derivative of -106*k - 5/3*k**3 - 5/2*k**2 + 0 - 5/12*k**4. Factor c(w).
-5*(w + 1)**2
Let i(n) = -n**2 - 1411*n + 1331. Let v(a) = 5*a - 2. Let p(b) = -4*i(b) - 108*v(b). Find s, given that p(s) = 0.
-1277, 1
Let j(d) be the third derivative of -d**8/10080 + d**7/420 - d**6/72 - 13*d**5/30 - 95*d**2. Let m(l) be the third derivative of j(l). Factor m(u).
-2*(u - 5)*(u - 1)
Let l(p) be the third derivative of 0*p + 0 + 1/110*p**5 + 1/44*p**4 - 6/11*p**3 + 134*p**2. Factor l(n).
6*(n - 2)*(n + 3)/11
Let z be 4 + 436978/3813 - (-3 - (-91)/31). Factor -1472/3*j + 256/3 + z*j**2 - 22/3*j**3.
-2*(j - 8)**2*(11*j - 2)/3
Let t = 118885 - 118883. Solve 0 + 2*r + 1/3*r**t = 0.
-6, 0
Let z be (((-174)/(-20)*-2)/(24885/3950))/(3/(-36)). Find d, given that -z*d + 32/7 - 14*d**3 + 64*d**2 = 0.
2/7, 4
Let y(c) = 19*c**2 + 14226*c + 10138887. Let w(p) = 2*p**2 - 2*p + 1. Let i(l) = -7*w(l) + y(l). Let i(t) = 0. What is t?
-1424
Let f be (1 - 32/20)*-55. Suppose 0 = 6*p + 5*p - 825. Factor 2*u**3 + 43*u - 5*u**3 + p + f*u**2 - 148*u.
-3*(u - 5)**2*(u - 1)
Let k(q) = -3*q**2 + 194*q - 1309. Let u be k(57). Factor 2/15*j**3 + 0*j - 14/15*j**u + 0.
2*j**2*(j - 7)/15
Let d(x) be the second derivative of -x**6/15 + 7*x**5/10 + 43*x**4/2 + 233*x**3/3 + 112*x**2 - 1346*x - 1. Factor d(q).
-2*(q - 16)*(q + 1)**2*(q + 7)
Let t(x) = -x**3 - 2*x**2 - 3*x - 1. Let j(r) = 8*r**3 + r**2 - 177*r - 175. Let s(h) = -j(h) - 5*t(h). Factor s(d).
-3*(d - 10)*(d + 1)*(d + 6)
Suppose 92 = 3*h + 2*j, -5*j = 2*h + 3 - 79. Factor -29*c + h - 2*c**4 - 6*c**3 + 24*c - 61*c + 46*c**2.
-2*(c - 2)*(c - 1)**2*(c + 7)
Suppose 5*x = -5*u + 67 + 53, 0 = -4*u - 5*x + 98. Solve u*z**3 - 5*z**2 + 18*z**3 + z**2 - 36*z**3 = 0 for z.
0, 1
Let h be (-70664)/(-11242)*(0 + (-14)/(-4)). Factor -h*x**3 + 0 - 80/3*x**4 - 6*x**2 - 32/3*x**5 + 0*x.
-2*x**2*(x + 1)*(4*x + 3)**2/3
Let v be (-9*30/405)/(96/(-27)). Let p(f) be the third derivative of 0*f**5 + f**2 + 1/80*f**6 + 0*f - v*f**4 - 1/2*f**3 + 0. Solve p(g) = 0.
-1, 2
Let m be ((-114)/(-133))/((-2)/(-49)). Let o(c) = 13*c**3 + 16*c**2 - 3*c - 1. Let j(h) = 54*h**3 + 66*h**2 - 12*h - 3. Let f(u) = m*o(u) - 5*j(u). Factor f(g).
3*(g - 1)*(g + 1)*(g + 2)
Let r(p) be the third derivative of -p**5/240 + 119*p**4/48 - 14161*p**3/24 + 1103*p**2. Factor r(s).
-(s - 119)**2/4
Let a(g) be the first derivative of -2485*g**3/9 - 160*g**2/3 + 5*g/3 + 979. Factor a(o).
-5*(7*o + 1)*(71*o - 1)/3
Let b = -469069/2 - -234536. Let -15/2*d**2 - 9*d + b*d**4 + 3*d**3 + 0 = 0. What is d?
-3, -1, 0, 2
Let x(o) = 5*o**2 + 148*o - 768. Let c(r) = -65*r**2 - 1960*r + 9985. Let k(i) = -3*c(i) - 40*x(i). Factor k(m).
-5*(m - 9)*(m + 17)
Let h(x) be the second derivative of 1/15*x**5 + x**4 + 13*x + x**2 + 0 + 6*x**3. Let a(m) be the first derivative of h(m). Factor a(n).
4*(n + 3)**2
Let r(g) be the second derivative of -9/2*g**2 + 23*g + 0 + 0*g**3 + 1/12*g**4. Factor r(w).
(w - 3)*(w + 3)
Determine h so that -67*h - 2/3*h**4 + 58/3 + 196/3*h**2 - 17*h**3 = 0.
-29, 1/2, 1, 2
Let j(x) be the third derivative of x**8/336 + x**7/210 - x**6/120 - x**5/60 + 971*x**2. Determine w, given that j(w) = 0.
-1, 0, 1
Let t(c) be the third derivative of c**7/140 - c**6/180 + 89*c**3/2 - c**2 - 30*c. Let s(i) be the first derivative of t(i). Factor s(n).
2*n**2*(3*n - 1)
Let d(t) be the first derivative of -t**4/2 + 84*t**3 - 729*t**2 + 2160*t - 6066. Factor d(y).
-2*(y - 120)*(y - 3)**2
Let t be 64 - 29 - 29 - 10/(-4). Let m(a) be the second derivative of -15*a**2 + 22*a + 0 - 3/4*a**4 - t*a**3. Determine c, given that m(c) = 0.
-5, -2/3
Let q = 35686 + -2932. Solve 24*j**2 - 2 - 28*j**3 + 32758*j**4 + 2 - q*j**4 = 0.
0, 1, 6
Let z(d) be the second derivative of d**6/10 + 87*d**5/4 + 36*d**4 + 4*d - 61. Determine t, given that z(t) = 0.
-144, -1, 0
Suppose 4*n = -l - 6, 4*l - 5*l + 4 = -n. Factor 5 + 10*f - 2*f**2 - l - 11.
-2*(f - 4)*(f - 1)
Suppose -36 + 44/7*u**2 + 30/7*u + 2/7*u**3 = 0. Calculate u.
-21, -3, 2
Let d be 15*(-4)/((-4)/1). Suppose 2*m = 7*m - d. Factor -3*l**3 + 33*l - 33*l + m*l**4.
3*l**3*(l - 1)
Let z be 8*(((-17868)/1120)/(-3) + (-36)/120 + -5). Let -z*l**4 + 4/7*l**2 - 4/7*l + 1/7*l**3 + 0 = 0. What is l?
-2, 0, 1, 2
Let a(n) be the first derivative of -1/28*n**4 + 2/7*n**2 - 173 - 1/35*n**5 + 2/7*n**3 - 8/7*n. Factor a(g).
-(g - 2)*(g - 1)*(g + 2)**2/7
Let n(j) be the third derivative of 36*j**2 + 0*j**3 + 1/8*j**4 + 0 + 0*j + 1/10*j**5 + 1/40*j**6. Factor n(p).
3*p*(p + 1)**2
Solve -972*d + 87/4*d**4 - 909/4*d**3 + 3861/4*d**2 - 2187 - 3/4*d**5 = 0 for d.
-1, 6, 9
Let z(q) be the third derivative of q**7/210 + 191*q**6/120 + 2807*q**5/20 - 22473*q**4/8 + 9801*q**3 - 505*q**2 + q. Determine r, given that z(r) = 0.
-99, 1, 6
Let p be (-256)/666 - 76/(-342). Let k = 130/111 - p. Factor -7/3*m**4 + k*m + 23/3*m**3 - 20/3*m**2 + 0.
-m*(m - 2)*(m - 1)*(7*m - 2)/3
Let v be -1 + -3 + (-18)/(-4). Suppose -4*r + 32 = 4*u, -5*r - 41*u = -43*u + 2. Factor 0 + a**3 + 0*a**r + 0*a - v*a**5 + 1/2*a**4.
-a**3*(a - 2)*(a + 1)/2
Let r(p) = -30*p - 85. Let s be r(-3). Suppose -s = 2*q - 3*u, 10*u = 9*u + 3. Factor 25/3*k**q - 10*k + 5/3.
5*(k - 1)*(5*k - 1)/3
Let r(m) = m**2 - 13*m - 28. Let f be r(15). Let -29*k**f + 0*k**5 - 23*k**2 + 5*k**5 - 25*k**3 + 5*k**4 + 67*k**2 = 0. What is k?
-3, 0, 1
Let w = -103 - -158. Let d = 55 - w. Suppose -2/3*f + d + 1/3*f**3 + 1/3*f**2 = 0. What is f?
-2, 0, 1
Let y(m) be the second derivative of -3*m**5/80 - 5*m**4/2 + 83*m**3/8 - 63*m**2/4 - 393*m - 1. Find i such that y(i) = 0.
-42, 1
Factor -4824/5 + 4/5*l**2 - 100*l.
4*(l - 134)*(l + 9)/5
Suppose -3*t - 12 = 4*q, -2*q + 146*t = 148*t + 8. Solve 0*p + 9*p**3 + 15/2*p**2 + 3/2*p**4 + q = 0 for p.
-5, -1, 0
Let a(m) be the first derivative of -m**3/18 - 37*m**2/6 - 9. Suppose a(d) = 0. What is d?
-74, 0
Let d(k) be the second derivative of -k**4/24 - 61*k**3/6 - 3721*k**2/4 - 482*k. Let d(w) = 0. Calculate w.
-61
Let a(t) = 65*t**2 - 1360*t + 1335. Let n(s) = -219*s**2 + 4533*s - 4449. Let g(y) = 27*a(y) + 8*n(y). Find k such that g(k) = 0.
1, 151
What is d in -174*d + 2/5*d**5 + 868/5*d**3 + 434/5 - 438/5*d**4 + 4/5*d**2 = 0?
-1, 1, 217
Let w be 30 - 494/234*9. Suppose -19/2 - 1/2*l**4 - 30*l**2 + w*l**3 + 29*l = 0. What is l?
1, 19
Let l = -227 - -232. Solve -52*x**3 - 768*x**5 + 104*x**4 - 5*x**2 - 19*x**2 + 740*x**l = 0.
-2/7, 0, 1, 3
Let d(s) be the first derivative of -5*s**4/4 - 1565*s**3 - 9360*s**2 - 18700*s + 5475. Factor d(i).
-5*(i + 2)**2*(i + 935)
Let q(g) be the second derivative of -5/18*g**5 + 17/135*g**6 - 4/3*g**2 - 1/63*g**7 + 1 - 5/54*g**4 + 28/27*g**3 - 3*g. Solve q(w) = 0.
-1, 2/3, 1, 2, 3
Let f(u) = -u**3 - 3*u**2 + 6*u - 24. Let j be f(-5). Let x be j/(-10) - (3 - (-586)/(-210)). Factor -x + 0*z**2 - 2/21*z**3 + 2/7*z.
-2*(z - 1)**2*(z + 2)/21
Let t(v) = -v**2 - 19. Let g(c) = -24*c**2 + 1401*c - 399. Let m(n) = -g(n) + 21*t(n). Let m(a) = 0. Calculate a.
0, 467
Factor -2319/8*q + 45/2*q**2 - 3/8*q**3 + 1071/4.
-3*(q - 42)*(q - 17)*(q - 1)/8
Factor