 (-84)/(-60) - (-15)/25 - 4/4. Suppose -1/6*o**2 - 5/6*o + q = 0. Calculate o.
-6, 1
Suppose -9 - 79 = -22*x. Let b = 75 + -52. Suppose -7*g**x - 15*g**2 + 2*g**4 + 20 - 3*g + 23*g - b*g**3 + 3*g**3 = 0. Calculate g.
-2, -1, 1
Let q(m) be the first derivative of 33*m**4/14 - 62*m**3/21 - 200*m**2/7 - 24*m/7 - 3465. Find g such that q(g) = 0.
-2, -2/33, 3
Suppose -26*x = -28*x. Suppose 15*v - 43*v + 56 = x. Factor 1/5*r**v - 14/5*r + 49/5.
(r - 7)**2/5
Let t(f) be the third derivative of f**7/945 + f**6/540 - 23*f**5/270 + f**4/36 + 10*f**3/3 + 2*f**2 + 92*f. Factor t(b).
2*(b - 3)**2*(b + 2)*(b + 5)/9
Suppose -301735 - 117*m**2 + 1044704 + 121*m**2 + 2489835 + 7192*m = 0. What is m?
-899
Let a be ((-648)/96)/((-1)/8). Factor 3 + a*h**2 - 9*h**2 + 125*h - 37 + 4.
5*(h + 3)*(9*h - 2)
Let p = -88090 - -88090. Factor p + 2/5*d**2 - 8/5*d.
2*d*(d - 4)/5
Factor -2019/2 + 3/2*h**2 - 1008*h.
3*(h - 673)*(h + 1)/2
Let u(f) be the first derivative of f**6/3 + 32*f**5/5 - 48*f**4 + 364*f**3/3 - 145*f**2 + 84*f - 2833. Find n such that u(n) = 0.
-21, 1, 2
Let a(c) = 15*c**3 - 192*c**2 - 1323*c - 2070. Let u(r) = 23*r**3 - 288*r**2 - 1985*r - 3106. Let n(k) = 14*a(k) - 9*u(k). Factor n(v).
3*(v - 38)*(v + 3)**2
Let v be (-3349)/(-110517)*(4/14 + 57/21). Factor v*t**3 + 0 + 12/11*t**2 + 36/11*t.
t*(t + 6)**2/11
Let n(d) = -5*d - 28. Suppose -2*h + 4*h + 3*k = 0, -2*h + 4*k - 28 = 0. Let o be n(h). What is z in -2/9*z**o - 50/9 + 20/9*z = 0?
5
Let b = 276 - 274. Let 3*s**b + 62*s**2 + 25*s + 40*s**2 + 20*s**3 = 0. Calculate s.
-5, -1/4, 0
Factor 31*z + 41*z**2 - 287*z**3 + 286*z**3 - 30*z + 36*z**2 - 77.
-(z - 77)*(z - 1)*(z + 1)
Suppose x + 3*z = 39, 5*x - 195 = -3*z + 2*z. Factor -86*g**2 + 100*g - 94 - 26 + 37*g**2 + x*g**2 - 5*g**3.
-5*(g - 2)**2*(g + 6)
Let g = -45 + -5. Let b = g - -52. Factor 5*j**b - j**2 - 4*j - 10 + 2.
4*(j - 2)*(j + 1)
What is w in -250563/2*w**2 - 254031/4*w**3 - 3/4*w**5 - 435*w**4 + 0 + 0*w = 0?
-289, -2, 0
Suppose 46/9*b**3 + 0*b + 10/3*b**2 + 4/3*b**4 + 0 = 0. What is b?
-3, -5/6, 0
Suppose 0 - 2/7*s**2 - 118/7*s = 0. What is s?
-59, 0
Let x be 32/12*(-33)/(-4). Let h = x - 19. Solve -d - h + 10*d**2 + 3 - 11*d**2 + 2 = 0.
-2, 1
Let z(m) be the second derivative of -1/10*m**6 - 21/20*m**5 - 2 + 8*m**3 - 25*m - 2*m**4 + 0*m**2. Let z(a) = 0. What is a?
-4, 0, 1
Suppose 2*d = 6*b - 8*b + 4, 3*b - 10 = -4*d. Suppose -14*p = -12*p - d. What is x in -46*x + 20*x**4 - 10 + 5*x**5 + 20*x**3 + 5*x - 10*x**p + 16*x = 0?
-2, -1, 1
Let h be (-6)/(-14)*11/(-55)*-35. Let y(r) be the second derivative of 0 + 5/4*r**4 - 5/6*r**h + r + 0*r**2. Factor y(m).
5*m*(3*m - 1)
Let q(m) be the first derivative of -27*m**3 + 0*m**4 + 0*m + 3/5*m**5 - 81*m**2 + 50. Suppose q(o) = 0. What is o?
-3, 0, 6
Let n = 2 - 0. Factor 46 - 30 - x**2 + 12*x - 3*x**n.
-4*(x - 4)*(x + 1)
Let r be 6/10 - (-4635)/(-5850). Let f = -1/26 - r. Factor -2/13*a**3 + 2/13*a**4 - 2/13*a**2 + 0 + f*a.
2*a*(a - 1)**2*(a + 1)/13
Let -16311*v**2 + 226 + 99 + 15901*v**2 + 85*v**4 + 3*v + 25*v + 207*v - 230*v**3 - 5*v**5 = 0. Calculate v.
-1, 1, 5, 13
Factor -4/3*j**5 - 496/3*j**4 + 0 - 295856/3*j**2 - 6888*j**3 - 275684/3*j.
-4*j*(j + 1)*(j + 41)**3/3
Let q = 31377/8380 + 12/2095. Let 0 + 3/4*t**5 - 9/4*t**3 - 3/2*t - 3/4*t**4 + q*t**2 = 0. Calculate t.
-2, 0, 1
Let w(r) = r**4 - r**3 + 8*r**2 + r + 1. Let g(y) = 10*y**4 - 22*y**3 + 99*y**2 + 106*y + 65. Let n(m) = 2*g(m) - 18*w(m). Let n(b) = 0. Calculate b.
-1, 7, 8
Suppose -33*i + 11*i = 28798. Let t = i + 1314. Factor 0*f + 0*f**3 - 4/3*f**t + 0 + 0*f**2 - 4/3*f**4.
-4*f**4*(f + 1)/3
Determine p, given that 98/11*p**2 + 1480/11 - 928/11*p - 2/11*p**3 = 0.
2, 10, 37
Let w(r) be the second derivative of -r**7/21 + r**6/15 + r**5/10 - r**4/6 - 2*r - 523. Factor w(q).
-2*q**2*(q - 1)**2*(q + 1)
Let q be ((-1)/(-5))/(25/1600*-16*(-8)/5). Solve -21/4*v**2 - 9*v + q*v**3 + 0 = 0 for v.
-3/2, 0, 12
Let z(v) = -v**3 + 168*v**2 + 1775*v - 43. Let m be z(-10). What is d in m - 1/4*d**2 - 27/4*d = 0?
-28, 1
Suppose -481 + 353 + 242 = 38*z. Factor q**z + 8/3 - 7/3*q**2 - 2/3*q.
(q - 2)*(q + 1)*(3*q - 4)/3
Factor 315 + 13*y**2 + 851 - 16*y**2 + 150*y - 341.
-3*(y - 55)*(y + 5)
Let u(x) = -15*x**3 + 131*x**2 - 486*x + 166. Let n(g) = -g**3 - g**2 - g + 11. Let v(b) = 6*n(b) - u(b). Solve v(w) = 0 for w.
2/9, 5, 10
Let i(a) be the second derivative of a**7/10080 - 7*a**6/1440 + 13*a**5/480 - 47*a**4/3 + 13*a - 3. Let r(j) be the third derivative of i(j). Factor r(z).
(z - 13)*(z - 1)/4
Factor -125*h**2 - 92480 - 83*h**2 - 5*h**2 - 35011*h - 5*h**3 + 9171*h - 487*h**2.
-5*(h + 4)*(h + 68)**2
Let 20800/9*z + 8/9*z**3 - 2/9*z**4 + 622/3*z**2 + 18944/9 = 0. What is z?
-16, -1, 37
Let i = -359/3 - -739/6. Factor -2*t - 6*t**2 + 0 + i*t**3.
t*(t - 2)*(7*t + 2)/2
Factor 24*o + 123/5 - 3/5*o**2.
-3*(o - 41)*(o + 1)/5
Suppose -31*w + 664 - 106 = 0. Let g be 3/9 - (214/w + -12). Solve 10/9*u**4 + 0*u**2 + 0*u + g*u**3 + 0 = 0.
-2/5, 0
Let j(o) be the first derivative of o**6/24 + o**5/4 - 6*o**4 + 94*o**3/3 - 74*o**2 + 84*o + 1562. Solve j(i) = 0 for i.
-14, 2, 3
Factor 49/6*y**2 + 1/6*y**3 + 54 - 44*y.
(y - 3)*(y - 2)*(y + 54)/6
Let u be ((-171)/(-10260))/((-12)/(-20)). Let w(b) be the third derivative of -u*b**4 - 1/540*b**5 + 0 + 0*b + 48*b**2 + 8/27*b**3. Find q such that w(q) = 0.
-8, 2
Let f(m) be the first derivative of -1/36*m**3 - 2*m - 14 + 0*m**2 - 1/72*m**4. Let b(a) be the first derivative of f(a). Let b(h) = 0. What is h?
-1, 0
Let x(u) be the third derivative of 32*u**7/945 - 28*u**6/135 + 13*u**5/27 - 25*u**4/54 + 1820*u**2. Factor x(c).
4*c*(c - 1)*(4*c - 5)**2/9
Determine j, given that 22/5*j**2 - 2/5*j**3 + 172/5*j - 192/5 = 0.
-6, 1, 16
Let h be 5220/(-720) - ((-74)/10 + 9/(-15)). Let 3/2*l - h*l**2 - 1/4*l**3 + 2 = 0. Calculate l.
-4, -1, 2
Factor 90/7*q - 100/7 + 12/7*q**2 - 2/7*q**3.
-2*(q - 10)*(q - 1)*(q + 5)/7
Factor -837294 + 157937 - 104723 + 3960*g - 5*g**2.
-5*(g - 396)**2
Factor -768/11 - 2/11*j**2 + 262/11*j.
-2*(j - 128)*(j - 3)/11
Let -84*q**3 - 72*q**2 + 932846*q - 932846*q - 20*q**4 - 3*q**5 - 10*q**4 = 0. What is q?
-6, -2, 0
Suppose 5*c - 18 + 43 = 0. Let d be ((-396)/(-120))/(-33) + (-3)/c. Determine r, given that -d*r**2 - 1/2*r + 0 = 0.
-1, 0
Let i be (2 - -22)/3 - (5115/(-62))/(24/(-2)). Factor 3/4*b + 21/8*b**2 - i + 3/4*b**3.
3*(b + 1)*(b + 3)*(2*b - 1)/8
Find r, given that r**2 + 1/5*r**3 - 57/5*r + 99/5 = 0.
-11, 3
Let l(y) be the first derivative of y**4/44 + 101*y**3/33 - y**2/22 - 101*y/11 - 2798. Factor l(q).
(q - 1)*(q + 1)*(q + 101)/11
Let n(o) be the third derivative of -1/140*o**5 - 69*o**2 + 0*o**3 + 0*o + 0 - 3/56*o**4. Determine l, given that n(l) = 0.
-3, 0
Suppose 0 = -0*c - 4*c + 3*x + 23, c - 5*x = 27. Suppose -k = c*f - 5*f - 5, 4*f + 20 = 2*k. Factor 25*b**3 + k*b**2 + 5*b**4 - 95*b**3 + 50*b**3.
5*b**2*(b - 2)**2
Suppose -3*o - 26 = -5*m, 4*m - o - o - 20 = 0. Suppose y - 4*j + 12 = 0, -m*j - 20 = -5*y - 0*j. Factor -2*r**2 + 6 - r**4 + 3*r**2 - 3 + y*r + 5*r**2.
-(r - 3)*(r + 1)**3
Suppose b - 8*z - 22 = -3*z, -b - 2*z = 6. Determine h so that 85*h**2 - 181*h**b - 18*h + 81*h**2 = 0.
-6/5, 0
Let w(c) be the third derivative of c**6/180 - 338*c**5/15 + 114469*c**4/4 - 2052338*c**3/9 + 8022*c**2. Determine u so that w(u) = 0.
2, 1013
Solve -7/4*w**4 + 5/4*w**5 + 0 - 9/2*w - 43/4*w**3 + 63/4*w**2 = 0 for w.
-3, 0, 2/5, 1, 3
Let x(u) = -35*u**2 + 8485*u + 17740. Let z(y) = 5*y**2 - 1215*y - 2534. Let i(d) = -2*x(d) - 15*z(d). Let i(r) = 0. Calculate r.
-2, 253
Let h be (-9)/((1 - -1)*(-12)/8). Factor p**2 - p**4 - 2*p - 2*p**3 + 3*p**3 - p**h + 2*p**3.
-p*(p - 2)*(p - 1)*(p + 1)
Let c(i) be the second derivative of i**5/240 + 5*i**4/96 + i**3/4 - 73*i**2/2 + i + 152. Let b(v) be the first derivative of c(v). Solve b(x) = 0 for x.
-3, -2
Factor -1704/13*t + 2/13*t**2 + 362952/13.
2*(t - 426)**2/13
Let l = -17 - -24. Let k(w) = 3*w - 18. Let h be k(l). Solve -8*n + 2*n**4 + n**2 - 3*n**3 - 10*n**h + 21*n**3 + 5*n**2 - 8 = 0.
-2, -1, 1
Suppose -2*s + l = -17, -4*l + 0 - 33 = -3*s. Suppose 5*p = -3*m - 4 + s, 4*p - m = -1. Factor p*b - 2/9*b**5 - 16/9*b**3 + 10/9*b**4 + 0 + 8/9*b**2.
-2*b**2*(b - 2)**2*(b - 1)/9
Let w(i) be the second derivative of -6/7*i**3 - 11 - 1/105*i**6 + 29/70*i**5 +