- 2/7*j**3 = 0.
-4, 7
Let o(z) = -z**2 + 20*z + 51. Let j be o(22). Suppose 0 = 4*n + 5*f - 28, 19 = 5*n + 3*f - 29. Factor 0*u**2 + j*u**2 + 2*u**2 + n - 24*u.
3*(u - 2)*(3*u - 2)
Let x be (-18)/(-27) - ((-132)/18 - -5). Let k(t) be the second derivative of -1/5*t**5 - 1/3*t**4 - 22*t + 10/3*t**x - 6*t**2 + 0. Solve k(d) = 0.
-3, 1
Let w(q) be the third derivative of -q**6/20 - 31*q**5/20 + 87*q**4/8 - 27*q**3 + 3644*q**2. Let w(r) = 0. What is r?
-18, 1, 3/2
Let y(j) be the first derivative of 8/39*j**3 + 2/65*j**5 + 0*j + 0*j**2 - 107 + 2/13*j**4. Factor y(d).
2*d**2*(d + 2)**2/13
Factor 2/11*f**4 - 92/11*f**2 - 90/11*f**3 + 0*f + 0.
2*f**2*(f - 46)*(f + 1)/11
Let d(r) be the second derivative of -5/12*r**4 + 0*r**2 - 72*r + 175/6*r**3 - 2. Find z such that d(z) = 0.
0, 35
Let l(d) = -310*d**2 - 13022*d - 82. Let t be l(-42). Solve -6/7*g**t + 208/7*g - 136/7 = 0 for g.
2/3, 34
Let f be 364/63 + 6/27. Suppose 0 = f*q - 101 + 29. Find x such that -48*x**4 - x**5 + 16 + 40*x + 7*x**5 + 40*x**4 - 26*x**3 + q*x**2 = 0.
-1, -2/3, 2
Let d(c) = -c + 9. Let u be d(-9). Factor -4*a - 25*a**3 - 4*a**2 + 18 + 24*a**3 - u.
-a*(a + 2)**2
Suppose 60*q - 63*q = -168. Factor -q - 28*b + 11*b**3 - 3*b**3 - 12*b**3 - 4 + 28*b**2.
-4*(b - 5)*(b - 3)*(b + 1)
Solve -22*f**2 + 29579*f**5 + 62*f**2 + 70550*f**4 - 14*f**3 - 5485*f**5 - 3366*f**3 + 12031*f**5 = 0 for f.
-2, 0, 2/85
Determine x, given that 2/7*x**2 + 445568/7 + 1888/7*x = 0.
-472
Let r(f) be the first derivative of 2809*f**6/6 - 477*f**5 - 14453*f**4/4 - 3521*f**3 - 676*f**2 - 48*f + 8740. Let r(y) = 0. What is y?
-1, -4/53, 3
Let j = -54 - -61. Suppose 2*d + 10 = j*d. Let x**2 - 4 + 12 - d*x - 7*x = 0. Calculate x.
1, 8
Let v be 4/(5 + 27/(-6)). Let v*w**3 - 31*w**4 - 32*w**3 + 36*w**2 + 65*w**4 - 16*w - 30*w**4 = 0. Calculate w.
0, 1, 4
Suppose -20 = 5*u, 4*t = 5*u + 7 - 3. Let v(r) = -r**3 - r**2 + r - 2. Let b(k) = -2*k**3 - 6*k**2 - 8. Let c(a) = t*v(a) + b(a). Let c(l) = 0. Calculate l.
-1, 0, 2
Let s(m) be the third derivative of m**5/180 + 17*m**4/18 + 128*m**3/9 - 679*m**2. Factor s(y).
(y + 4)*(y + 64)/3
Find o such that -3*o**5 - 2730*o**2 - 2266*o + 12052*o - 3318*o + 8232 - 102*o**4 - 1065*o**3 = 0.
-14, -7, -1, 2
Find n such that -66248 - 1/2*n**2 + 364*n = 0.
364
Suppose 0 = 131*j - 148*j + 68. Let q(h) be the first derivative of 6/5*h + 3/10*h**2 - 3/20*h**j - 2/5*h**3 - 2. Solve q(c) = 0 for c.
-2, -1, 1
Let x(l) = 6*l**3 + 39*l**2 + 21*l + 22. Let g be x(-6). Let s(m) be the first derivative of 11 - 1/4*m**g - m - m**3 - 3/2*m**2. Suppose s(j) = 0. What is j?
-1
Let y be ((6/42)/(12/21))/(15/75). Let 0 + 1/4*n**4 - y*n**2 + 0*n - n**3 = 0. What is n?
-1, 0, 5
Suppose 71/2*s**2 - 480*s + 1494 + 1/2*s**3 = 0. What is s?
-83, 6
Suppose -17892 = -403*s - 236*s. Let b(r) be the first derivative of -s - 2/3*r**3 + 0*r**2 + 8*r. Solve b(a) = 0 for a.
-2, 2
Find o such that -5/3*o**4 - 340*o**2 - 125/3*o**3 - 720 - 1020*o = 0.
-12, -6, -1
Let q = 153 + -303/2. Let y(p) be the first derivative of 16 - 15/8*p**2 + q*p + 3/4*p**3. Factor y(z).
3*(z - 1)*(3*z - 2)/4
Let z(l) = -l**3 + l**2 + l. Suppose -7 = -q - 0*q. Suppose -q*s - 3 = -4*s. Let v(x) = 9*x**3 + 7*x**2 - 5*x - 16. Let t(g) = s*v(g) - 5*z(g). Factor t(j).
-4*(j - 1)*(j + 2)**2
Let h be 3/(-4) - (-2 - 28/16). Let l be h + 4 + 4 + 116/(-12). Find d such that 2/9*d**2 + 2 + l*d = 0.
-3
Suppose 75*j - 165 - 78 + 18 = 0. Suppose -14/13*f**2 + 8/13*f**j - 28/13*f - 6/13 = 0. What is f?
-1, -1/4, 3
Let p(h) = -240*h - 15118. Let v be p(-63). Factor -4/9*o**3 - 1/9*o**4 - 64/9 + 4/3*o**v + 32/9*o.
-(o - 2)**2*(o + 4)**2/9
Let f be (-11)/((-11)/(-70)) - 4. Let w = 137 + f. Factor w*j**3 - 37*j**3 + 12*j**2 - 4 - 34*j**3.
-4*(j - 1)**2*(2*j + 1)
Let g(v) be the third derivative of 130*v**2 - 1/180*v**6 + 7/15*v**5 + 2744/9*v**3 + 0*v - 49/3*v**4 + 0. Find z, given that g(z) = 0.
14
Let o(f) be the first derivative of -f**3 - 900*f**2 - 270000*f - 531. Solve o(y) = 0.
-300
Let s(v) be the first derivative of -v**6/120 - v**5/30 - v**4/24 - 29*v**2/2 - 66. Let k(t) be the second derivative of s(t). Factor k(d).
-d*(d + 1)**2
Let y(z) = 1 - 128*z + 3 + 8 + 46*z. Let u be y(-7). Suppose -u*n**2 + 586*n**2 + 4*n**3 = 0. What is n?
0
Suppose r - s = 3*s - 1961, 2*r + 3946 = 2*s. Let o = r - -5932/3. Factor 1/3*j**2 + o*j**3 - 1/3*j + 0 - 1/3*j**4.
-j*(j - 1)**2*(j + 1)/3
Let h = -201 - -204. Factor -6 + 15*b + 0*b - 2*b**h - 4 - 3*b**3.
-5*(b - 1)**2*(b + 2)
Let a(b) be the first derivative of -b**6/600 - b**5/300 + 2*b**4/15 + 8*b**3/15 - 35*b**2 + 131. Let z(r) be the second derivative of a(r). Factor z(g).
-(g - 4)*(g + 1)*(g + 4)/5
Suppose -57875*l - 9842 + 42 + 272*l**2 + 4*l**3 + 62215*l = 0. What is l?
-35, 2
Let a(o) be the second derivative of o**6/15 + 6*o**5/5 - 9*o**4/2 + 14*o**3/3 + o - 1994. Determine w so that a(w) = 0.
-14, 0, 1
Let g = -20538 + 41085/2. Factor 27/4 + 3/4*a**2 + g*a.
3*(a + 3)**2/4
Let i(s) be the third derivative of s**7/1155 + 19*s**6/660 + 31*s**5/330 - 17*s**4/44 - 182*s**2 + 7*s + 2. Determine m, given that i(m) = 0.
-17, -3, 0, 1
Let z = -5471/120 - -5551/120. Factor 0*p**2 - z*p + 0 + 2/3*p**3.
2*p*(p - 1)*(p + 1)/3
Let w(a) = -285*a**2 + 2865*a - 6945. Suppose 14 = -5*d - 6. Let b(x) = 143*x**2 - 1432*x + 3472. Let p(u) = d*w(u) - 9*b(u). Factor p(q).
-3*(7*q - 34)**2
Let w(q) be the second derivative of -150*q + 17/2*q**3 + 0 - 1/4*q**4 - 45*q**2. Let w(j) = 0. Calculate j.
2, 15
Let t(h) be the first derivative of -h**3/3 + 15*h**2 + 559*h - 4402. Factor t(d).
-(d - 43)*(d + 13)
Suppose -a - p = 4*p + 7, 10 = -4*a - 2*p. Let f(v) = 6*v**2 - 50*v + 8. Let s(u) = -5*u**2 + 50*u - 6. Let z(n) = a*s(n) - 3*f(n). Factor z(l).
-2*(l - 6)*(4*l - 1)
Let t(o) = 15*o**2 + 130*o + 116. Let w(s) = -25*s**2 - 260*s - 230. Let r(c) = 5*t(c) + 2*w(c). Determine j, given that r(j) = 0.
-4, -6/5
Let 131*v**4 + 38*v + 50*v**5 - 65*v**5 + 118*v**4 - 25*v**3 - 249*v**2 + 142*v**3 - 140*v = 0. What is v?
-1, -2/5, 0, 1, 17
Let f(m) = -m**2 + 125*m - 1038. Let t be f(9). Factor -4*y - t - 2/3*y**2.
-2*(y + 3)**2/3
Let c(m) be the third derivative of m**9/756 - m**8/1680 - 47*m**3/3 + 11*m**2 + 6. Let z(x) be the first derivative of c(x). Factor z(k).
k**4*(4*k - 1)
Let l = 40 - 75/2. Suppose -575*p + 295*p + 291*p = 22. Factor -20 - l*n**3 - 35*n - 35/2*n**p.
-5*(n + 1)*(n + 2)*(n + 4)/2
Let b(g) be the third derivative of -9*g**5/100 + 119*g**4/5 + 106*g**3/5 - 2*g**2 - 86*g + 2. Find a such that b(a) = 0.
-2/9, 106
Suppose -3/4*r**3 - 9*r**2 + 345/4*r + 189/2 = 0. What is r?
-18, -1, 7
Let h be 522/10 - (-848 - -887). Suppose h*v + 1/5*v**2 + 1089/5 = 0. Calculate v.
-33
Suppose 2*b = p + 17, -4*b + 1 = -3*p - 38. Let m = 5 + 11. Factor -3*a**2 - 6*a + m - b*a - 7*a**2 + 6*a**2.
-4*(a - 1)*(a + 4)
Let r be (5/14)/((-4272)/256 - -11 - -6). Find l, given that 0*l - r*l**2 + 0 + 2/7*l**4 + 6/7*l**3 = 0.
-4, 0, 1
Let o(u) be the third derivative of 2*u**7/735 - 2*u**6/105 - u**5/105 + 8*u**4/21 - 8*u**3/7 - 19*u**2. Suppose o(n) = 0. Calculate n.
-2, 1, 2, 3
Find u such that 5*u**3 - 4171 + 2796*u - 7656*u + 5*u**4 + 391 - 45*u**3 - 1125*u**2 = 0.
-6, -1, 21
Suppose -2*h + 49 = l + 1, -2*h - 5*l + 64 = 0. Suppose -8*v = -3*g - 3*v + 26, -h = -g + 5*v. Factor 7*w**2 - 14*w + 4*w - 2*w**4 + 8*w**g - 3*w**4.
-5*w*(w - 1)**2*(w + 2)
Let d = 8366 - 16731/2. Let k(q) be the second derivative of -40*q - 5/48*q**4 - 1/80*q**5 - d*q**2 + 0 - 1/3*q**3. Factor k(g).
-(g + 1)*(g + 2)**2/4
Factor -560 + 2877*w - 357*w**2 + 2418*w**3 - 1124*w**2 + 47*w**2 - 2421*w**3 - 880.
-3*(w - 1)**2*(w + 480)
Suppose -2*a - 31 = -5*c, 5*c - 49 = -4*a - 6. Let n be (c*24/(-588))/(-1). Let 2/21*g**2 - n*g - 20/21 = 0. What is g?
-2, 5
Suppose 1921 = 4*p + 5*y, 2*y - 5*y = p - 489. Suppose 2 + 923*u - p*u - 460*u - 13*u**2 = 0. Calculate u.
-1, 2/13
Let u(p) be the second derivative of p**5/40 + 17*p**4/72 - 3*p**3/4 + 7*p**2/12 + 8600*p. Find a such that u(a) = 0.
-7, 1/3, 1
Factor -69/11*o**2 + 0 + 67/11*o**3 + 2/11*o.
o*(o - 1)*(67*o - 2)/11
Let q(n) be the first derivative of -n**7/42 - n**6/12 - n**5/12 - 29*n**2 + 65. Let b(j) be the second derivative of q(j). What is u in b(u) = 0?
-1, 0
Let g = -74107 + 74109. Factor 0*n + 0 + 7/4*n**g + 1/4