or 3*q**2 + 2*q - 5*q**4 + 18*q**3 - 13*q**3 - i*q + 2*q**2.
-5*q*(q - 1)**2*(q + 1)
Let r(m) be the first derivative of -44/9*m**3 + 0*m - 4/3*m**4 + 2*m**2 - 24. Determine x, given that r(x) = 0.
-3, 0, 1/4
Suppose h - 30*n = -32*n - 6, 0 = 3*h + n - 2. Let p = -1 + 4. What is o in -3*o + 2 + o**4 - 3*o**5 + 5 + 6*o**p - 6 - 2*o**h = 0?
-1, 1/3, 1
Let s(d) be the first derivative of -d**3/9 - 1538*d**2/3 - 2365444*d/3 - 957. Let s(h) = 0. Calculate h.
-1538
Let b be ((-260)/40)/(-13)*0. Let g(u) be the third derivative of 0*u**3 + 1/240*u**5 + 5/96*u**4 + 18*u**2 + b*u + 0. Factor g(r).
r*(r + 5)/4
Suppose -4*t = -3*o + 7, -2*t + 4*o - 3 = 3. Let w(q) = -95*q**2 - 45*q - 30. Let h(c) = 2*c**2 + c + 1. Let l(v) = t*w(v) - 30*h(v). Factor l(s).
5*s*(7*s + 3)
Let 342/5*u**2 + 378/5 + 21/5*u**3 + 1419/5*u = 0. What is u?
-9, -7, -2/7
Factor -18*c + 13*c**4 - 30*c**3 - 47*c**5 - 49*c**5 - 37*c**5 - 11*c**3 + 47*c**2 + 132*c**5.
-c*(c - 9)*(c - 2)*(c - 1)**2
Let a = -181 + 127. Let t = -39 - a. Solve -50*j + 10*j**2 + 18 + t*j**3 - 10*j + 22 - 5*j**4 = 0.
-2, 1, 2
Let c be 2057/(-66) + 54/9. Let r = -293/12 - c. Suppose 0 - r*n**4 + 0*n + 9/4*n**2 - 3/2*n**3 = 0. What is n?
-3, 0, 1
Let z(j) be the third derivative of -3*j**7/35 - j**6/5 + j**5/15 + j**4/3 - j**3/3 + 14*j**2 + 23*j. Factor z(q).
-2*(q + 1)**2*(3*q - 1)**2
Suppose -184 - 25*z - 1/4*z**2 = 0. Calculate z.
-92, -8
Factor -7*d**2 - 7*d**2 - 202 - 258 + 4*d + 540 + 2*d**3.
2*(d - 5)*(d - 4)*(d + 2)
Factor -3/7*n**4 - 405/7*n**3 - 396/7 - 171*n**2 - 1191/7*n.
-3*(n + 1)**3*(n + 132)/7
Let t(y) = -127*y + 130. Let n be t(1). Let o(l) be the first derivative of 2*l**2 + 1/3*l**n - 5*l - 31. Determine g, given that o(g) = 0.
-5, 1
Let j(y) be the third derivative of -y**6/30 + 179*y**5/3 - 1787*y**4/6 + 1786*y**3/3 + 43*y**2 + 8*y + 2. Factor j(w).
-4*(w - 893)*(w - 1)**2
Suppose 21*p = 42*p - 609. Let i be 0 + -1 + p/2. Factor 18*m + i + 39/8*m**2 + 3/8*m**3.
3*(m + 1)*(m + 6)**2/8
Let t be ((-5)/3 - (-340)/150)/(1860/775). Factor t*b**2 + 3/4*b + 0.
b*(b + 3)/4
Factor 194308 + 182088 + 477*n**2 + 23950 + 25281*n + 46285 + 3*n**3.
3*(n + 53)**3
Let j(t) = t**3 - 41*t**2 + 112*t + 2452. Let v be j(36). Suppose -7*o**3 + 15/2*o - 17*o**2 + 25/2 + 9/2*o**v - 1/2*o**5 = 0. Calculate o.
-1, 1, 5
Factor 286/3*f - 56 + 4/3*f**3 + 98/3*f**2.
2*(f + 4)*(f + 21)*(2*f - 1)/3
Let j be (-108446)/(-1404) - 2/27. Let w = -77 + j. Determine t so that 2/3*t**2 + w*t**3 + 2/3*t + 0 = 0.
-2, 0
Factor -r**4 - 2*r**4 + 207*r**3 - 11*r**3 + 69*r**2 + 36*r - 24*r**3 - 142*r**3.
-3*r*(r - 12)*(r + 1)**2
Let c = -190 - -196. Determine a, given that a**2 + 0 + a - c - 3*a**2 + 3*a**2 = 0.
-3, 2
Let t(p) be the third derivative of -p**7/35 - 4*p**6/15 + 19*p**5/30 + 11*p**4/3 + 4*p**3 - 23*p**2 - 5. Suppose t(q) = 0. What is q?
-6, -1, -1/3, 2
Let v = 43069 + -43067. Find o such that v*o + 2/9*o**2 + 16/9 = 0.
-8, -1
Suppose 0 = 5*m - 4*d - 0 + 10, -m - 13 = -3*d. Factor 144*y**4 - 84*y**3 + 11*y**2 - 3*y**m - 66*y**5 - 2*y**5.
-4*y**2*(y - 1)**2*(17*y - 2)
Let q = -1261569/10 - -126157. Solve 0 + q*p**2 - 7/5*p = 0.
0, 14
Let u(o) be the third derivative of o**5/20 - 13*o**4/2 - 285*o**3/2 + 2792*o**2. Factor u(n).
3*(n - 57)*(n + 5)
Let h(q) = 3*q**2 - 558*q + 18146. Let k be h(144). Find c, given that -13/5*c**k + 32/5*c + 1/5*c**3 - 4 = 0.
1, 2, 10
Let w be ((37604/(-168))/79 + 2/6)/(25/(-20)). Factor 4 - 10/3*x + 2/3*x**w.
2*(x - 3)*(x - 2)/3
Let b(u) be the second derivative of -3*u**5/10 - u**4/6 + 6*u**3 + 16*u**2 + 700*u. Suppose b(x) = 0. What is x?
-2, -1, 8/3
Let s(x) be the first derivative of 20/3*x**3 - 87 + 0*x + 23/24*x**4 + 1/30*x**5 - 12*x**2. Suppose s(b) = 0. Calculate b.
-12, 0, 1
Let w = -113 - -119. Suppose 3*m - w = 0, 274 = 4*s - 2*m + 98. Factor 12*c**3 - 57*c**4 + 10 - 60*c**5 + 8*c**3 - 3*c**4 + 85*c**5 + 50*c**2 - s*c.
5*(c - 1)**3*(c + 1)*(5*c - 2)
Let z(k) = -18*k**3 - 62*k**2 + 372*k - 676. Let t(v) = -41*v**3 - 125*v**2 + 745*v - 1353. Let d(i) = 4*t(i) - 9*z(i). Factor d(p).
-2*(p - 21)*(p - 4)**2
Let 0 + 14/3*d**4 + 0*d + 2/9*d**5 - 16/3*d**3 - 88/9*d**2 = 0. Calculate d.
-22, -1, 0, 2
Let g(f) = -6*f**2 - 39*f - 53. Let b(w) = 27 - 4*w**2 - w**2 + 18*w + 6*w**2 + 3*w**2 + w. Let u(s) = -5*b(s) - 3*g(s). Factor u(o).
-2*(o - 12)*(o + 1)
Let w(o) be the second derivative of 9/10*o**5 - 1/20*o**6 - 86*o + 0 - 1/2*o**4 - 48*o**3 - 192*o**2. Factor w(a).
-3*(a - 8)**2*(a + 2)**2/2
Let t = -11715 + 11718. Let x(h) be the first derivative of -16 + 2*h + 2*h**2 + 2/3*h**t. Factor x(c).
2*(c + 1)**2
Let s be 6528/3360*115/206. Let r = 6/103 + s. Factor 0*c - r + 2/7*c**2.
2*(c - 2)*(c + 2)/7
Let j be 14 + ((-75870)/(-513) - 4/(-38)). Let 468*v**3 + 1 + j*v**4 - 69/2*v + 541/2*v**2 = 0. Calculate v.
-2, -1, 1/18
Factor -88/7*o**3 - 2/7*o**5 - 90/7*o**4 + 0 + 0*o + 0*o**2.
-2*o**3*(o + 1)*(o + 44)/7
Suppose -186*g - 268*g = -908. Let r(b) be the third derivative of -20/9*b**3 + 0*b + 1/9*b**4 - 24*b**g + 0 - 1/450*b**5. Factor r(t).
-2*(t - 10)**2/15
Let m(x) = x**3 - 251*x**2 - 6*x + 1509. Let q be m(251). Factor -40/9*c + 4/3*c**q + 2/9*c**4 - 2/3*c**2 - 8/3.
2*(c - 2)*(c + 1)**2*(c + 6)/9
Factor -844/9*u**2 - 89042/9*u + 0 - 2/9*u**3.
-2*u*(u + 211)**2/9
Let o(s) be the second derivative of -1/780*s**6 + 29*s - 2*s**2 + 2/65*s**5 + 0 - 3/13*s**4 + 0*s**3. Let z(g) be the first derivative of o(g). Factor z(t).
-2*t*(t - 6)**2/13
Factor 40/9 + 2/9*o**2 + 8/3*o.
2*(o + 2)*(o + 10)/9
Let h(k) be the third derivative of -k**5/6 - 103*k**4/12 - 20*k**3 + 9*k**2 - 11. Factor h(o).
-2*(o + 20)*(5*o + 3)
Let j be (-20636)/(-462)*-4*1/269. Let t = 2/807 - j. Factor -14/15*p - 2/5 - t*p**2 - 2/15*p**3.
-2*(p + 1)**2*(p + 3)/15
Suppose -4*r = -19 - 41. What is o in -9*o + 10*o + 11*o - 21*o**3 + r*o**4 - 24*o**2 = 0?
-1, 0, 2/5, 2
Suppose 149187/4*w + 3/4*w**3 + 669/2*w**2 + 0 = 0. Calculate w.
-223, 0
Let g(j) = 21*j**2 + 870*j - 875. Let r(x) = -8*x**2. Let y(p) = -g(p) - 2*r(p). Find h such that y(h) = 0.
-175, 1
Let p(a) be the third derivative of -a**7/70 - 7*a**6/80 - 7*a**5/40 - a**4/8 + 192*a**2 + 3. What is o in p(o) = 0?
-2, -1, -1/2, 0
Let c(f) be the third derivative of 1/735*f**7 + 0 - 2/105*f**6 + 2*f**2 + 0*f - 4/21*f**4 + 5/21*f**3 + 3/35*f**5. Find y, given that c(y) = 0.
1, 5
Let y = 55922 + -55922. Suppose 1/5*c**4 - 2/5*c**3 + y + 3/10*c + 1/10*c**5 - 1/5*c**2 = 0. What is c?
-3, -1, 0, 1
Suppose -9*d = -111 - 51. Suppose 0*z + 5*z - 2*f = 9, z = -5*f + d. What is h in -6/7*h**2 - 4/7*h + 6/7 + 4/7*h**z = 0?
-1, 1, 3/2
What is z in 16 + 82/3*z**2 - 2*z**3 - 10/3*z**4 - 116/3*z + 2/3*z**5 = 0?
-3, 1, 2, 4
Let q = 897/4061 - -26/131. Let w = q + 167/341. Factor 0 - 12/11*k - 2/11*k**3 - w*k**2.
-2*k*(k + 2)*(k + 3)/11
Let z(t) be the first derivative of -90*t**6 - 8139*t**5/5 - 14985*t**4/4 - 1914*t**3 - 312*t**2 - 12072. Suppose z(i) = 0. What is i?
-13, -8/5, -1/4, -2/9, 0
Suppose 0 = 1042*h - 1049*h + 21. Let d(t) be the second derivative of 0*t**h - 8*t**2 + 4*t + 0 + 1/3*t**4. Factor d(k).
4*(k - 2)*(k + 2)
Suppose 12 = l - 2*c, 8*l + 2*c = 12*l - 72. Solve -l*o + 4*o**3 - 6 + 6*o**2 - 2*o**2 - 10 + 4*o = 0 for o.
-2, -1, 2
Let w(u) = -36*u**4 + 115*u**3 - 146*u**2 + 108*u - 41. Let c(v) = 6*v**4 - 19*v**3 + 24*v**2 - 18*v + 7. Let z(f) = -34*c(f) - 6*w(f). What is p in z(p) = 0?
2/3, 1
Let r(i) be the third derivative of 73 - 2*i**2 + 0*i + 37/180*i**5 + 13/120*i**6 + 2/9*i**3 - 10/9*i**4. Factor r(n).
(n - 1)*(n + 2)*(39*n - 2)/3
Let k(m) be the second derivative of 0*m**2 + 0 - 48*m - 1/90*m**5 - 1/54*m**4 + 2/27*m**3. Solve k(s) = 0.
-2, 0, 1
Let f(y) = 7*y**2 + 184*y + 6. Let z(w) be the second derivative of 65*w**4/12 + 1655*w**3/6 + 55*w**2/2 - 57*w. Let m(t) = -55*f(t) + 6*z(t). Factor m(r).
5*r*(r - 38)
Let g = -744872 + 744872. Suppose 20/13*k**3 - 2/13*k**4 + g*k + 0 + 22/13*k**2 = 0. What is k?
-1, 0, 11
Let x(g) = 21*g**3 + 285*g**2 + 534*g - 48. Let z(y) = 4*y**3 + 57*y**2 + 107*y - 9. Let j(h) = 3*x(h) - 16*z(h). Factor j(w).
-w*(w + 2)*(w + 55)
Let o(d) be the second derivative of 3*d**5/20 - 29*d**4/4 - 31*d**3 - 8166*d. Factor o(r).
3*r*(r - 31)*(r + 2)
Let j(f) be the first derivative of 2*f**3/33 + 45*f**2/11 + 172*f/11 - 968. Let j(b) = 0. Calculate 