*4 + 1/3*i**n + 0*i + 2/3*i**2 + 0.
-i**2*(i + 1)**2*(3*i - 2)/3
Let t(m) be the first derivative of 16/3*m**3 + 0*m - 23 + 0*m**4 + 0*m**2 + 1/240*m**5 + 1/480*m**6. Let l(v) be the third derivative of t(v). Factor l(c).
c*(3*c + 2)/4
Let b(r) be the second derivative of -r**4/60 - r**3/10 + 2*r**2/5 + 30*r + 16. Suppose b(w) = 0. What is w?
-4, 1
Factor -32 - 53 - 27 - 2*n**3 + 46 - 32*n**2 - 102*n - 6.
-2*(n + 1)*(n + 3)*(n + 12)
Let h(d) = -3*d**2 - 12*d + 6. Let x be 2 + (-1 - -2) - (-90)/30. Let g(s) = s**2 + s - 1. Let k(q) = x*g(q) + h(q). Solve k(p) = 0.
0, 2
Suppose 2*y = -24 + 28. Suppose 4*m - 14 + y = 0. Factor 3*p + m*p**2 + 3*p**2 - 10*p**2 + p.
-4*p*(p - 1)
Let u(h) be the first derivative of -5*h**3/18 - 295*h**2/12 + 50*h - 1542. Solve u(l) = 0 for l.
-60, 1
Let z(y) be the third derivative of 1/150*y**5 + 22*y**2 - 19/20*y**4 + 56/15*y**3 + 0*y + 1. Find c such that z(c) = 0.
1, 56
Let n(a) be the second derivative of a**7/504 - a**6/18 - 5*a**5/6 + a**4/12 + 4*a**2 + 263*a. Let p(x) be the third derivative of n(x). Factor p(z).
5*(z - 10)*(z + 2)
Let z(x) be the first derivative of 3*x**4/20 + 5*x**3/3 + 69*x**2/10 + 63*x/5 - 1436. Factor z(d).
(d + 3)**2*(3*d + 7)/5
Let k(g) = 19*g - 261. Let s be k(15). Suppose b = s*x - 28*x + 10, 0 = -2*b - 4. Determine v so that 5/6*v**x + 5/2*v**2 - 5/2 - 5/6*v = 0.
-3, -1, 1
Suppose -6*i - 15 = 5*t - i, 4*t - 6 = 5*i. Let b be t/8 + 82/16. Find u such that -u**3 + 54 + b*u**3 - 2*u**3 - 12*u**2 - 5*u**3 + 9*u = 0.
-3, 2
Suppose 172*i - 35*i**5 + 120 - 580*i + 116*i + 260*i**4 + 210*i**3 - 125*i**2 + 117*i - 255*i**2 = 0. Calculate i.
-1, 3/7, 1, 8
Let z = -10787/2 + 5643. Let g = 250 - z. Find a such that 0*a**3 + g*a**5 + 0*a**2 + 0 + 0*a - 1/2*a**4 = 0.
0, 1
Let l be (2 - (-7 - -3))*13/2. Suppose -s - 34 + l = 0. Suppose 3/5*h**s - 6/5*h**4 - 3/5*h + 6/5*h**2 + 0*h**3 + 0 = 0. Calculate h.
-1, 0, 1
Suppose -2*d + 12 = t, 4*d + 1058*t = 1059*t + 18. Factor 0 + 0*l + 2/13*l**d - 2/13*l**3 + 2/13*l**2 - 2/13*l**4.
2*l**2*(l - 1)**2*(l + 1)/13
Suppose 0 = -3*q + 7 - 10, -4*a + 5*q = -13. Solve -2/5*b**3 + 30*b**a + 6250 - 750*b = 0.
25
Suppose 0 = m + 4*r - 6*r, 3*r - 13 = -5*m. Suppose -15*f**2 + 2*f**5 - 9*f**m + 9*f**4 + 18*f**3 - 5*f**5 = 0. Calculate f.
-2, 0, 1, 4
Suppose 29*j + 99/4*j**3 - 5/4*j**5 - 89/2*j**2 - 6 - 2*j**4 = 0. Calculate j.
-6, 2/5, 1, 2
Factor -215*z**2 - 36*z + 590*z**3 + 515*z**3 - 1099*z**3.
z*(z - 36)*(6*z + 1)
Suppose -l + 75 = 4*l. Let n = l - -9. Suppose -n + 4*a**2 + 50 - 26 - 4*a**3 = 0. What is a?
0, 1
Let n = 2152 - 122732/57. Let o = 583/228 - n. Let -12 - o*g**5 + 24*g**2 + 24*g - 69/4*g**4 - 15*g**3 = 0. Calculate g.
-2, 2/5, 1
Suppose -4*w = o - 2 + 21, 0 = 4*o - 2*w - 14. Suppose -s + 46*z = 51*z - o, -2*z = 4*s - 22. Find p, given that s*p + 27/5 + 3/5*p**2 = 0.
-9, -1
Let t(y) be the first derivative of 0*y - 2/3*y**2 - 2/9*y**3 + 29 + 1/6*y**4. Factor t(i).
2*i*(i - 2)*(i + 1)/3
Let a(l) be the third derivative of 1/840*l**7 - 63*l**2 + 0*l**3 - 1/16*l**5 - l + 1/80*l**6 + 1/12*l**4 + 0. Let a(d) = 0. What is d?
-8, 0, 1
Let d(f) be the third derivative of -f**6/300 + 91*f**5/75 - 181*f**4/60 - 3*f**2 + 530. Suppose d(x) = 0. Calculate x.
0, 1, 181
Let k(o) = o**2 - 7*o + 2. Let p(s) = -5*s**2 + 36*s - 9. Suppose -2*v + 2 = 0, -6 = -4*r + 3*v + 15. Let c(y) = r*p(y) + 33*k(y). Factor c(b).
3*(b - 4)*(b - 1)
Factor 540*u + 21*u**3 - 5*u**4 - 43*u**3 + 30*u**3 + 12*u**3 + 315*u**2 + 10*u**3.
-5*u*(u - 12)*(u + 3)**2
Let m be 2/(-3) - (1430/(-30) - -13). Let a be 46/m + -6*16/96. Factor -2/17*z**4 + 4/17*z + a*z**3 + 10/17*z**2 + 0 - 2/17*z**5.
-2*z*(z - 2)*(z + 1)**3/17
Let x(g) be the third derivative of g**6/180 + 13*g**5/15 - 53*g**4/12 + 80*g**3/9 - 140*g**2 + 4*g. Solve x(y) = 0 for y.
-80, 1
Let z(a) be the third derivative of 1/14*a**7 + 1/4*a**4 + 9/40*a**6 - 37*a**2 + 0*a**3 + 1/112*a**8 + 0*a + 0 + 7/20*a**5. Let z(j) = 0. Calculate j.
-2, -1, 0
Suppose 0 = -5*q - w + 5, 2*q + 2*w = -q - 4. Suppose -10*p + 580 = 60. Factor 0*h - 30 - 308 - q*h**2 + p*h.
-2*(h - 13)**2
Let o(y) = 2*y + 12. Let q = -70 - -67. Let l be o(q). Let 10*a + l*a - 20*a - a**2 + 5*a = 0. Calculate a.
0, 1
Factor -1/2*g**4 - 4*g**3 + 17/2*g**2 + 30*g - 54.
-(g - 2)**2*(g + 3)*(g + 9)/2
Let d be 10/75 + (-618)/(-90). Factor -39 - 56*z + 0*z + z**3 - 28*z**2 + d - 5*z**3.
-4*(z + 1)*(z + 2)*(z + 4)
Let w(d) be the third derivative of 0*d**4 + 0 + 3/20*d**6 + 0*d + 0*d**5 - 1/14*d**7 - 1/112*d**8 - 103*d**2 + 0*d**3. Factor w(p).
-3*p**3*(p - 1)*(p + 6)
Let l(s) be the first derivative of -s**3 + 123*s**2/2 - 444*s - 1572. What is z in l(z) = 0?
4, 37
Let v(q) be the third derivative of 0*q + 0*q**7 + 0*q**5 + 0*q**3 + 1/1008*q**8 - 15 - q**2 + 0*q**4 - 1/360*q**6. What is g in v(g) = 0?
-1, 0, 1
Let w(s) be the first derivative of 103 + s**2 - 1/3*s**3 - s. Find o, given that w(o) = 0.
1
Let r = -9598 + 9606. Let s(q) be the second derivative of 686/9*q**3 + 2401/6*q**2 + 0 + 7/15*q**5 + r*q + 1/90*q**6 + 49/6*q**4. Factor s(o).
(o + 7)**4/3
Let b be 925/1110*(6 + 0). Let h(t) be the third derivative of -1/12*t**b + 15*t**2 + 0 - 135/2*t**3 - 15/4*t**4 + 0*t. Factor h(z).
-5*(z + 9)**2
Determine n, given that 13*n**2 - 37*n**2 + 696 + 25*n**2 + 3*n**2 - 244*n = 0.
3, 58
Let d(h) be the first derivative of -10*h**3 + 5/2*h**2 - 76 + 30*h - 5/4*h**4. Factor d(p).
-5*(p - 1)*(p + 1)*(p + 6)
Let c be 15/3*(-8)/(-10). Let s(v) = -2*v**2 + 21*v - 6. Let d be s(10). Factor 12*b**2 + 4*b**3 + 40*b - 8 - 19*b - d*b**c - 25*b.
-4*(b - 2)*(b - 1)*(b + 1)**2
Let z(b) = 198 - 15*b - 170 - 25*b + 2*b**2. Let g(w) = w**2 - 20*w + 15. Let n(c) = 5*g(c) - 2*z(c). Factor n(t).
(t - 19)*(t - 1)
Let n = 569 - 545. Determine b, given that -n - 32 - 19*b - 5*b**2 + 11 - 11*b = 0.
-3
Let h(r) be the third derivative of -r**6/60 - 7*r**5/30 - 5*r**4/6 - 2203*r**2. Determine p, given that h(p) = 0.
-5, -2, 0
Let q(w) = 2*w**3 - w**2 - w + 2. Let b(m) = -15*m**3 - 576*m**2 + 5655*m + 3570. Let r(k) = -b(k) - 15*q(k). Find l, given that r(l) = 0.
-3/5, 20
Let f(o) = 670*o - 73028. Let m be f(109). Let n be ((-21)/9 + 2)*-3. Determine a, given that 1/4*a**3 + m*a - 5/4*a**2 - n = 0.
1, 2
Suppose 17*o = 22*o - 10. Let c(b) be the first derivative of -1/7*b**4 - 2/7*b - 1/21*b**6 + 3/7*b**o + 6/35*b**5 + 7 - 4/21*b**3. What is t in c(t) = 0?
-1, 1
Suppose 1048*w = 1046*w. Let l be w/(8 + (-30)/5). Find m such that 0 + 1/2*m**4 - 7/4*m**3 + l*m - m**2 = 0.
-1/2, 0, 4
Let x(r) = -6*r**2 + 875*r - 306. Let c(s) = -9*s**2 + 1310*s - 459. Let q(j) = 9*c(j) - 14*x(j). Solve q(f) = 0 for f.
1/3, 153
Find b, given that 60*b + 0 + 3/7*b**3 + 81/7*b**2 = 0.
-20, -7, 0
Let -34*p - 42*p + 33*p**2 - 7*p**5 - 91*p**3 + 47*p**4 - 28*p + 122*p = 0. What is p?
-2/7, 0, 1, 3
Let z(h) = h**2 + 79*h + 1420. Let w be z(-52). Let j(t) be the first derivative of -w*t**2 + 36 - 36*t + 4/3*t**3. Factor j(s).
4*(s - 9)*(s + 1)
Suppose -77*u + 101 = -72*u + 7*i, -u + 3*i - 37 = 0. Solve 8/19 - 6/19*p**4 - 2/19*p**u + 16/19*p - 16/19*p**3 = 0 for p.
-2, -1, -2/3, 1
Let k = -142 - -200. Suppose k*a - 60*a + 4 = 0. Factor -4*r**a + 22*r - 26*r + 0*r**2 + 5*r**2.
r*(r - 4)
Let n be 16/(-14) + (-1556928)/672. Let b = -2316 - n. Determine m so that 4 + 4/3*m**b - 2*m**3 + 38/3*m = 0.
-2, -1/3, 3
Factor -2230/3 + 436/3*k + 2/3*k**2.
2*(k - 5)*(k + 223)/3
Let x = 2/269 - -261/1076. Let z(h) = 2*h - 28. Let q be z(15). Factor 0 + 1/4*f + x*f**q.
f*(f + 1)/4
Let w = -21/391 + 1349/10557. Let l(i) be the first derivative of 2/45*i**5 + 1 + 1/27*i**6 + 0*i**2 - 1/18*i**4 - w*i**3 + 0*i. Factor l(u).
2*u**2*(u - 1)*(u + 1)**2/9
Let c = 34987/77 - 4940/11. Let 38/7*r + 1/7*r**2 + c = 0. Calculate r.
-37, -1
Let z = -36 + 36. Let p(y) be the first derivative of 0*y**2 + 1/9*y**3 - 1/36*y**6 + 0*y**5 + 4 + 1/8*y**4 + z*y. Solve p(l) = 0.
-1, 0, 2
Let s(c) be the first derivative of 2*c**3/9 + 208*c**2/3 + 2030*c/3 + 5383. Factor s(y).
2*(y + 5)*(y + 203)/3
Let s(j) be the first derivative of -2*j**3/3 + 714*j**2 - 4266*j + 13635. Factor s(h).
-2*(h - 711)*(h - 3)
Let g = -38017/18 + 2111. Let c = g + 67/18. Factor -2/3*w**3 + 2*w + c*w**2 - 12.
-2*(w - 3)**2*(w + 2)/3
Let f = 328799/98637 - 3/32879. Determine z so that -4/3*z**3 +