 d(k). Factor i(r).
-(r - 1)**2*(r + 1)**2/7
Suppose 4*p = -85*z + 89*z + 60, -4*p = -2*z - 74. Let w(g) be the first derivative of p + 2/3*g**3 + 0*g - 4*g**2. Factor w(u).
2*u*(u - 4)
Let n be (-189)/(-81)*2/35. Determine s, given that 56/3*s - 4/3*s**3 + 2/5*s**2 - n*s**4 - 392/15 = 0.
-7, 2
Suppose -i - 4*s = 26, 5*s + 15 + 4 = i. Let h be (-11)/(-3)*7/((-231)/i). Factor 2/3*z**2 - 2/3*z - h + 2/3*z**3.
2*(z - 1)*(z + 1)**2/3
Factor 0 + 2/5*o**3 - 2/5*o**2 - 4/5*o.
2*o*(o - 2)*(o + 1)/5
Let z(i) = -4*i**2 - 10*i - 36. Let d be (4 + (-22)/5)/((-6)/(-90)). Let c(h) = h**2 + h + 1. Let r(o) = d*c(o) - z(o). Factor r(x).
-2*(x - 5)*(x + 3)
Let b(q) = 81*q**2 - 10*q - 42. Let a be b(-4). Let o = a - 1294. Solve 2/7*u**3 + o*u - 4/7*u**4 + 0 + 2/7*u**2 = 0.
-1/2, 0, 1
Let n(v) be the third derivative of -8 - 1/21*v**3 + 1/126*v**4 - 3*v**2 + 0*v + 1/630*v**5. Factor n(t).
2*(t - 1)*(t + 3)/21
Let l = -362 + 362. Suppose -76 = -4*r + 5*t, -2*r + l*r - 2*t + 20 = 0. Factor -2/7 + 4*y - r*y**2.
-2*(7*y - 1)**2/7
Factor -238*z - 152*z - 774*z + 2*z**2 - 6*z**2.
-4*z*(z + 291)
Let i = -1115 - -1117. Let h(x) be the second derivative of 3*x**i - 3/2*x**3 + 2*x + 0 + 1/4*x**4. Factor h(f).
3*(f - 2)*(f - 1)
Suppose 4*v + 2*t + 3 - 15 = 0, -3*t + 14 = 5*v. Let h be (-79)/(-2)*(-2)/((-4)/v). Let 11*a + a - 83*a**3 + h*a**3 + 8 = 0. What is a?
-1, 2
Let f be ((-35346)/28359)/(2/(-92)). Suppose -3698/3 - 2/3*j**2 - f*j = 0. Calculate j.
-43
Let c be (-3)/(6/(-4)) - (0 - 5). Let a(l) = l**3 - 9*l**2 + 16*l - 11. Let z be a(c). Factor -3 + 36*y**z - 112*y**2 + 62*y - 5 - 68*y**3.
-2*(y + 4)*(4*y - 1)**2
Let g = 3856 - 3853. Let d(w) be the second derivative of 1/8*w**g - 14*w - 1/48*w**4 + 0 - 1/4*w**2. Factor d(s).
-(s - 2)*(s - 1)/4
Let a(j) be the first derivative of -9/2*j**2 + 1/2*j**6 - 12/5*j**5 + 0*j + 4*j**3 + 3/2*j**4 + 21. Factor a(v).
3*v*(v - 3)*(v - 1)**2*(v + 1)
Let v(l) be the third derivative of l**7/14 + 17*l**6/24 - l**5/4 - 85*l**4/24 - 115*l**2 + 7*l. Factor v(j).
5*j*(j - 1)*(j + 1)*(3*j + 17)
Let h(l) be the second derivative of -3*l**6 + 1029*l**5/5 + 559*l**4/6 - 320*l**3/3 - 92*l**2 - 128*l. Let h(m) = 0. What is m?
-1/3, 2/5, 46
Let w(f) be the third derivative of 0*f - 1/204*f**4 - 1/170*f**6 - 4/1785*f**7 - 93*f**2 - 1/2856*f**8 - 2/255*f**5 + 0*f**3 + 0. Find a such that w(a) = 0.
-1, 0
Suppose -520*d**2 + 779*d - 4172*d + 1325*d - d**3 - 2064 = 0. Calculate d.
-516, -2
Let c(t) be the second derivative of 4*t + 28 - 2/5*t**3 + 0*t**2 + 1/20*t**4. Factor c(f).
3*f*(f - 4)/5
Let r(m) = m**3 + 12*m**2 - 18*m - 28. Let s be r(-13). Suppose -a + 5*a - 2*a**2 + 24 + 41*a**3 - s*a**3 - 14*a**2 = 0. What is a?
-1, 2, 3
Let k(v) be the second derivative of 5*v**8/336 - v**7/42 - v**6/24 + v**5/12 + 86*v**2 - 21*v. Let w(a) be the first derivative of k(a). Factor w(o).
5*o**2*(o - 1)**2*(o + 1)
Suppose 15 = 3*i - 0*i - m, -5*m - 25 = -5*i. Suppose -4 - 10 = 3*d - i*t, 5*d + 5*t = 30. Factor 2/3*v**d - 2/9 - 4/9*v.
2*(v - 1)*(3*v + 1)/9
Let d(u) = -4*u**2 + u. Let m(s) = -9*s**2 - 51*s - 120. Let g(o) = -3*d(o) + m(o). Factor g(q).
3*(q - 20)*(q + 2)
Factor -3316*s + 382*s**2 - 188*s**2 - 192*s**2 + 1791560 - 417078.
2*(s - 829)**2
Let 1176/11*h - 2/11*h**2 - 172872/11 = 0. What is h?
294
Let -71*d**2 - 11*d + 129*d + 13*d**2 + d**2 - 7*d + d**3 - 55 = 0. What is d?
1, 55
Let q be 2 + (-2)/((-32)/(-26)). Let y = -83526 + 668313/8. Suppose -y*r - 33/8*r**2 - 75/8 - q*r**3 = 0. What is r?
-5, -1
Let t be 23 - 25 - 8/(-2). Solve -4*x**2 + 2*x**5 - 2*x**3 - 2*x**2 + 17*x**4 + 2*x**t - 13*x**4 = 0 for x.
-2, -1, 0, 1
Let j be ((-32)/(-46))/(42/(-4) + 11). Let x = j - -51/46. Factor 10 + 15*o**3 + 65/2*o**2 + x*o**4 + 30*o.
5*(o + 1)**2*(o + 2)**2/2
Let r(b) be the second derivative of -b**7/840 - b**6/240 - b**5/240 + 2*b**2 + 2*b + 19. Let m(k) be the first derivative of r(k). Factor m(g).
-g**2*(g + 1)**2/4
Let g = 1719/182 - 367/182. Solve 2/7*b**4 - g*b**2 + 48*b + 126 - 16/7*b**3 = 0 for b.
-3, 7
Let w(y) be the first derivative of -1/2*y**4 + 36 + 0*y - 2*y**3 + 10*y**2. Factor w(m).
-2*m*(m - 2)*(m + 5)
Suppose 6 - 11 = -5*r. Factor 4 + 18*y**2 - 16*y + y**4 - 45*y**3 + 15*y**3 + 22*y**3 + r.
(y - 5)*(y - 1)**3
Let c(v) be the second derivative of -5*v**4/12 + 1505*v**3/6 - 13669*v. Factor c(p).
-5*p*(p - 301)
Let i(w) be the first derivative of w**6/27 + 2*w**5/9 + 7*w**4/18 + 2*w**3/9 - 1695. Suppose i(j) = 0. Calculate j.
-3, -1, 0
Suppose 3*f + i - 7 = 0, -3 = -3*f + 2*f - i. Suppose 4 = f*r - n + 5, 3*n = 15. Solve 0 + 1/5*j**r + 1/5*j = 0 for j.
-1, 0
Suppose -5*l - 5*o + 15 = 0, -3*o + 17 = 6*l - l. Factor -8*b**4 - 10*b**l + 72*b**5 + 8*b**3 - 62*b**5.
2*b**3*(b - 1)*(5*b - 4)
Let u(l) be the third derivative of -l**5/60 - 1853*l**4/24 + 309*l**3 - 14*l**2 + 28*l + 5. Suppose u(t) = 0. Calculate t.
-1854, 1
Suppose 194 = 4*f + 110. Suppose -f*r + 246 = 20*r. Factor 9/2*q + 0*q**4 - r*q**3 - 3 + 3/2*q**5 + 3*q**2.
3*(q - 1)**3*(q + 1)*(q + 2)/2
Let x(v) be the second derivative of v**4/138 - 706*v**3/23 + 1121481*v**2/23 - 8315*v. Factor x(m).
2*(m - 1059)**2/23
Suppose -21*r - 295 + 1555 = 0. Factor 304*k - 12 - r - 350*k + k**3 + k**3 - 12 + 40*k**2.
2*(k - 2)*(k + 1)*(k + 21)
Let w be (-101)/505 - (-2799)/(-5). Let c = w - -560. Find v, given that c*v**2 + 9/7*v - 3/7*v**3 + 6/7 = 0.
-1, 2
What is y in -128/11*y**3 - 28/11*y - 166/11*y**2 + 10/11*y**4 + 0 = 0?
-1, -1/5, 0, 14
Determine z so that 2/5*z**2 + 1928648/5 - 3928/5*z = 0.
982
Let b be (4 - (-3 + -2))/(4 - 5). Let o(w) = -16*w**2 + 116*w + 1700. Let x(a) = -7*a**2 + 58*a + 849. Let u(p) = b*x(p) + 4*o(p). Factor u(n).
-(n + 29)**2
Determine t so that -90*t + 862*t**2 - 118*t + 861*t**2 - 2590*t**2 + 863*t**2 = 0.
-52, 0
Let r(q) be the first derivative of -3*q**4/4 + 151*q**3 + 231*q**2 - 912*q - 87. Suppose r(w) = 0. What is w?
-2, 1, 152
Let p(j) = -4*j**3 + 8*j**2 + 32*j - 36. Let n(q) = 11*q**3 - 25*q**2 - 95*q + 109. Let s(t) = 3*n(t) + 8*p(t). Factor s(m).
(m - 13)*(m - 1)*(m + 3)
Let i(z) be the second derivative of -8/3*z**3 - z + 8*z**2 + z**5 - 5/3*z**4 + 5 + 2/15*z**6 - 2/21*z**7. Solve i(q) = 0.
-2, -1, 1, 2
Let i(p) be the third derivative of -1/70*p**7 + 0*p**4 + 1/40*p**6 + 0*p**3 + 1/20*p**5 + 2*p + 0 - 1/112*p**8 + 51*p**2. Factor i(v).
-3*v**2*(v - 1)*(v + 1)**2
Suppose 3*f + 4*v = 10, -3*f - 3*v + 11 = 2*v. Solve 8*q**3 - 21*q**4 - 7*q**4 + 103*q**f - 72*q + 149*q**2 = 0 for q.
-3, 0, 2/7, 3
Let p(u) be the second derivative of u**4/6 - 86*u**3/3 + 249*u**2 - 2930*u. Factor p(i).
2*(i - 83)*(i - 3)
Let w be ((-5430)/99)/(-10) - 3. Let b = -20/11 + w. Determine c so that b*c**2 - 8/3 + 2*c = 0.
-4, 1
Let j(b) be the second derivative of -b**7/63 + b**6/9 + 4*b**5/5 + 2*b**4/9 - 32*b**3/9 + 1489*b. What is x in j(x) = 0?
-2, 0, 1, 8
Suppose 94/7*u**4 + 1308/7*u**3 - 1134 + 270*u + 2/7*u**5 + 4644/7*u**2 = 0. Calculate u.
-21, -3, 1
Let b = 3609 + -3603. Let p(f) be the third derivative of 0*f**3 + 1/12*f**5 - 1/12*f**4 - 1/30*f**6 + 1/210*f**7 + 0*f + 0 - b*f**2. Let p(u) = 0. Calculate u.
0, 1, 2
Let a(f) be the second derivative of -f**4/60 + 207*f**3/10 - 619*f**2/5 - 9809*f. Find r such that a(r) = 0.
2, 619
Let g(y) = -y**3 + 3*y**2 + 7. Suppose -2*q + 14 = 4*z, -z - q - 2 = -2*z. Let i be g(z). Factor 4*t - i + 3 + 4 + 4*t**3 + 8*t**2.
4*t*(t + 1)**2
Find z such that -66*z + 0 - 8/5*z**3 - 446/5*z**2 = 0.
-55, -3/4, 0
Let f(n) be the first derivative of -136*n**2 + 9248*n + 162 + 2/3*n**3. Let f(w) = 0. What is w?
68
Let i = 490723/3 + -163573. Factor -4/3 + 17/3*m - i*m**2.
-(m - 4)*(4*m - 1)/3
Let y(r) be the first derivative of -27*r**4/20 - 52*r**3/5 + 153*r**2/2 - 162*r/5 + 318. Suppose y(u) = 0. What is u?
-9, 2/9, 3
Let c be (-48)/(-3) - (-2 + (-8)/(-2)). Factor -19*n**4 - 10*n**4 + 12*n**2 + 39*n**4 - c*n**4 - 8*n.
-4*n*(n - 1)**2*(n + 2)
Let q(k) be the third derivative of -k**5/150 - 119*k**4/60 - 116*k**3/5 + 525*k**2. Factor q(y).
-2*(y + 3)*(y + 116)/5
Let -13905*d - 863*d**2 - 3777*d**2 - 5*d**5 - 6885 - 305*d**4 - 4810*d**2 - 2730*d**3 = 0. Calculate d.
-51, -3, -1
Let l(s) = -1617*s**3 - 1545*s**2 - 420*s - 30. Let p(y) = -1617*y**3 - 1541*y**2 - 421*y - 29. Let k(h) = 2*l(h) - 3*p(h). Factor k(q).
3*(7*q + 3)**2*(11*q + 1)
