 Let y be 87/15 - 9/g. What is o in -2*o**4 - 7 + 256*o**2 - 246*o**2 + 6*o - y*o**3 - 1 = 0?
-4, -1, 1
Let -166*b - 1/4*b**3 + 89/4*b**2 + 324 = 0. Calculate b.
4, 81
Suppose -6*t + 33 = -3*i, -20159 + 20171 = -4*i. Determine u so that -2/5*u**t + 0 + 2/5*u**3 - 24/5*u + 16/5*u**2 = 0.
-3, 0, 2
Let f be 2/(-6) + 1/(0 - 54/(-18)). What is a in -8/5*a**3 + 0*a + 34/5*a**4 + 9/5*a**5 + 0*a**2 + f = 0?
-4, 0, 2/9
Let c = 24 + -22. Let r(f) = 5*f**2 + 20*f + 17. Let w(l) = 26*l**2 + 101*l + 86. Let y(p) = c*w(p) - 11*r(p). Factor y(t).
-3*(t + 1)*(t + 5)
Factor 540/7 - 2/7*z**2 - 538/7*z.
-2*(z - 1)*(z + 270)/7
Factor 669 - 3124*o - 348 - 3824*o**2 - 60*o**2 - 355*o**3 - 421*o**3 - 337.
-4*(o + 1)*(o + 4)*(194*o + 1)
Let y be ((-296)/(-185))/(8/30). Factor -13*x**4 + 5*x**4 - y*x - 58*x + 12*x**3 + 10*x**4.
2*x*(x - 2)*(x + 4)**2
Let j be -16*((-56)/35)/(426/1775). Solve -256/9 - 274/9*z**3 + 2*z**4 + j*z + 308/3*z**2 = 0 for z.
-1, 2/9, 8
Factor 144 + 152/3*b**2 - 194*b - 2/3*b**3.
-2*(b - 72)*(b - 3)*(b - 1)/3
Let x(a) = 13*a**2. Let v be x(1). Suppose 0 = v*o - 17*o. Factor -15*u + 13*u + o*u + 2*u**2.
2*u*(u - 1)
Let h(o) = 12*o + 33. Let t be h(17). Let k = t + -137. Solve 25*m**2 - 14*m**4 - 28*m + k*m**3 + 20 - 72*m - 31*m**4 = 0.
-1, 2/9, 1, 2
Let u(q) = 20*q**2 + 9*q - 913. Let x be u(-7). Suppose 2/3*w**4 + 2*w**3 - x - 22/3*w - 2*w**2 = 0. Calculate w.
-3, -1, 2
Let r = -179 - -113. Let v = r - -71. Suppose 23*w**2 - 2*w**4 - v*w**2 + 10*w**3 + 0 + 14*w + 4*w**4 + 4 = 0. Calculate w.
-2, -1
Let l(f) be the first derivative of -f**6/80 + f**5/10 + f**4/16 - f**3 - 6*f**2 + 84. Let m(x) be the second derivative of l(x). Factor m(a).
-3*(a - 4)*(a - 1)*(a + 1)/2
Let t(m) = -m**3 + m**2 + 3*m. Let a = -48 - -91. Let s = a - 40. Let v(c) = 8*c**3 - 8*c**2 - 28*c. Let h(b) = s*v(b) + 28*t(b). Factor h(r).
-4*r**2*(r - 1)
Let m(u) = -u**2 + 12*u + 5. Let j = 47 - 35. Let w be m(j). Find p such that -3*p**w - 142*p**3 + 142*p**3 = 0.
0
Let i(z) be the first derivative of 26*z**3/3 + 3*z**2/4 - 1102. Find w, given that i(w) = 0.
-3/52, 0
Let d(t) be the first derivative of -5*t**6/4 + 8*t**5 + 15*t**4/8 - 70*t**3 + 25*t**2 + 120*t - 194. Determine l so that d(l) = 0.
-2, -2/3, 1, 3, 4
Let v(w) = 2*w**3 - 64*w**2 - 126*w. Let r(u) = -u**3 - 5*u. Let z(c) = 6*r(c) + v(c). Find a such that z(a) = 0.
-13, -3, 0
Factor 1135786*y + 12*y**2 - 1131877*y + 523 - 1501.
3*(y + 326)*(4*y - 1)
Let q(b) be the third derivative of b**5/80 + 463*b**4/96 + 77*b**3/12 - 824*b**2. Find r such that q(r) = 0.
-154, -1/3
Solve 3*v**5 - 2816/3*v + 760*v**2 + 512/3 - 119/3*v**4 + 134/3*v**3 = 0 for v.
-4, 2/9, 1, 8
Let s = -70306 + 70307. Factor 4/3*d + s + 4/9*d**2.
(2*d + 3)**2/9
Let j = -23046 - -23046. Let m(b) be the second derivative of 23*b - 3/2*b**4 + j - 5/2*b**3 - 7/20*b**5 - 2*b**2. Determine p so that m(p) = 0.
-1, -4/7
Factor 290*b**2 + 329*b**2 + 21*b**3 + 18*b**3 + 221*b**2 - 44*b**3.
-5*b**2*(b - 168)
Let c(b) be the first derivative of -12*b + 12*b**2 + 7*b**3 - 27 - 15/4*b**4. Factor c(p).
-3*(p - 2)*(p + 1)*(5*p - 2)
Let l(v) = -15*v**2 - 38*v - 84. Let h(u) = -13*u**2 - 36*u - 81. Let x(i) = 7*h(i) - 6*l(i). Factor x(m).
-(m + 3)*(m + 21)
Let v(d) be the second derivative of d**5/130 + 23*d**4/78 - 49*d**3/39 + 25*d**2/13 + 280*d. Factor v(p).
2*(p - 1)**2*(p + 25)/13
Let t = -47 - -79. Suppose 0 = -16*r + t. Suppose -2*f**2 - 3*f**r - f**3 + 2 + 3*f**2 + f + 0*f**2 = 0. Calculate f.
-2, -1, 1
Determine b, given that -45*b**2 - 5/2*b**4 + 2160 - 2160*b + 95/2*b**3 = 0.
-6, 1, 12
Let c be -7 + -2 + (26 - 20). Let d be ((-1)/c)/(425/510). Factor 0*i + 0 - d*i**2 - 2/5*i**4 - 4/5*i**3.
-2*i**2*(i + 1)**2/5
What is d in -127/2*d + 127/2*d**3 + 45/2*d**2 - 25 + 5/2*d**4 = 0?
-25, -1, -2/5, 1
Let y(g) be the first derivative of -252 - 32/5*g**5 - 8*g**3 + 13*g**4 + 0*g**2 + 2/3*g**6 + 0*g. Factor y(l).
4*l**2*(l - 6)*(l - 1)**2
Suppose 20*t + 2453 + 13*t - 2453 + 9*t - 2*t**2 = 0. What is t?
0, 21
Let c(w) = w**2 - w. Let p be c(1). Let r be 270/105 - (p + 2). Suppose -2/7*u**2 + 0 + r*u - 2/7*u**3 = 0. What is u?
-2, 0, 1
Let r(o) be the third derivative of -o**5/630 + 1495*o**4/63 - 8940100*o**3/63 + 59*o**2 + o - 25. Factor r(j).
-2*(j - 2990)**2/21
Let b be (3 - 0)/(5 + 260/(-55)). Solve -d**2 + 4 + 8*d - b + 0 = 0 for d.
1, 7
Let o(j) be the third derivative of -j**6/660 - 149*j**5/165 - 5624*j**4/33 - 43808*j**3/33 - 116*j**2. Factor o(x).
-2*(x + 2)*(x + 148)**2/11
Let w be 192/(-1440)*(7 - 10/1). Factor -w*l**2 + 83/5*l + 42/5.
-(l - 42)*(2*l + 1)/5
Solve 168*k**2 + 204/7*k**3 + 9600/7 - 30/7*k**4 - 3/7*k**5 - 7680/7*k = 0.
-10, 2, 4
Factor -5*o**3 - 4003*o + 1639*o - 2151*o + 0*o**3 + 24255 + 265*o**2.
-5*(o - 21)**2*(o - 11)
Let t be (-1 - -4)/(41/41041). Let n be 2808/t - (-8)/(-22). Factor n*b + 2/7*b**2 + 2/7.
2*(b + 1)**2/7
Let k = -1946 + 2071. Suppose k*a = 116*a + 18. Suppose -10/7*y - 2/7*y**a + 0 = 0. Calculate y.
-5, 0
Let p = -65 - -55. Let h be ((-15)/p)/(6/(-8)) + 5. Suppose -2/7*j**h + 2/7*j - 2/7 + 2/7*j**2 = 0. What is j?
-1, 1
Factor -11*o**2 + 131*o**2 + 2051159 - 2051134 + 145*o.
5*(o + 1)*(24*o + 5)
Suppose 5*t - 35 = -5*d, -d + 5*d = 2*t + 10. Suppose 21 = w + 3*q, 369*q - 374*q + 35 = 0. Factor 149*x - 141*x + w*x**2 - 4*x**2 - d.
-4*(x - 1)**2
Let r(b) be the first derivative of -7 + 16*b - 2/21*b**4 + 1/7*b**2 - 1/7*b**3. Let n(q) be the first derivative of r(q). Solve n(i) = 0 for i.
-1, 1/4
Let v = -83 + 86. What is z in 70 + 9*z**v - 106 - 44*z + 173*z - 66*z**2 = 0?
1/3, 3, 4
Let s(l) be the first derivative of l**3/12 - 38*l**2 - 8650. Factor s(i).
i*(i - 304)/4
Let f = 3744 - 1992. Let g = 1754 - f. Factor 35/4*j**4 + 1/4*j**g + 0*j - 25/4*j**5 + 0 - 11/4*j**3.
-j**2*(j - 1)*(5*j - 1)**2/4
Let i(w) be the first derivative of 2*w**5/15 + 14*w**4/3 + 2213. Let i(r) = 0. What is r?
-28, 0
Let d(t) be the third derivative of -4/1155*t**7 + 319*t**2 + 1/660*t**6 + 0 + 2/165*t**5 + 0*t**3 + 0*t - 1/132*t**4. Suppose d(z) = 0. Calculate z.
-1, 0, 1/4, 1
Let k(z) be the third derivative of -100*z**2 + 0*z - 2401/12*z**3 + 0 + 49/24*z**4 - 1/120*z**5. Let k(i) = 0. Calculate i.
49
Let q be 46/(-10) - 1*-5. Let p(g) = 6*g**2 + 66*g + 5. Let m be p(-11). Factor 8/15*c**2 - 4/15*c**4 + 0 + 8/15*c - q*c**3 + 2/15*c**m.
2*c*(c - 2)**2*(c + 1)**2/15
Let v = 5355/1738 - -364/869. Factor -1/6*j**2 - v*j + 11/3.
-(j - 1)*(j + 22)/6
Suppose 26*p = 14*p + 24. Suppose -4*k = -2*o, p*k + 3*o - 5 = 11. Factor -d**k - 3*d**2 + 6*d**2 + d**2 - 3*d.
3*d*(d - 1)
Let y(n) be the first derivative of -n**3/33 - 61*n**2/22 - 174*n/11 - 2766. Factor y(s).
-(s + 3)*(s + 58)/11
Let t(f) be the third derivative of f**7/105 + 7*f**6/60 - f**5/10 - 19*f**4/12 + 14*f**3/3 + 3721*f**2. Suppose t(a) = 0. Calculate a.
-7, -2, 1
Let v(s) be the third derivative of -s**8/14 + 2*s**7/15 - s**6/30 + 75*s**2 + 3*s. Factor v(f).
-4*f**3*(f - 1)*(6*f - 1)
Find k such that 0*k + 0 + 7/4*k**4 + 117/4*k**2 + 69/4*k**3 - 1/4*k**5 = 0.
-3, 0, 13
What is n in 0*n + 7/2*n**4 + 0 - 1/6*n**5 - 58/3*n**3 + 16*n**2 = 0?
0, 1, 8, 12
Suppose -i - i = -4*d + 194, -i = 3*d - 158. Suppose -4*s + 0*s = -200. Find y, given that -s*y**2 + d*y**2 + 0 - 1 = 0.
-1, 1
Let -31 - 212*j + 2*j**2 - 15 - 28 - 140 = 0. What is j?
-1, 107
Let i(b) be the first derivative of -3*b**4/8 + 773*b**3/2 + 7911. Suppose i(r) = 0. What is r?
0, 773
Let b = 452 - 450. Factor 6*i**3 - i**3 - 249*i**2 + 237*i**b + 36*i - 4*i**3.
i*(i - 6)**2
Let n be (-96)/10*((-1144)/(-66) - 19). Let q(j) be the second derivative of n*j + 0 + 1/5*j**5 + 8/3*j**4 + 32/3*j**3 + 0*j**2. Factor q(t).
4*t*(t + 4)**2
Let w be (-5 - 73)/(5/(-20)). Let o = 1562/5 - w. Factor o - 4/5*b**3 - 4/5*b**2 + 2/5*b**5 + 2/5*b + 2/5*b**4.
2*(b - 1)**2*(b + 1)**3/5
Let s(w) be the first derivative of -w**3/3 + w**2/2 - w - 26. Let t(b) = -b**5 + 3*b**4 + 4*b**3 - 3*b**2 + 3*b - 3. Let u(n) = 6*s(n) - 2*t(n). Factor u(p).
2*p**3*(p - 4)*(p + 1)
Let s(r) be the third derivative of r**7/140 + 69*r**6/80 - 7*r**5/4 - 1099*r**2. Let s(f) = 0. What is f?
-70, 0, 1
Let a be 9/21 - (5/(-42))/(24/972). Factor 1/4*h**4 + 2 - 11/2*h - 2*h**3 + a*h**2.
(h - 4)*(h - 2)*(h - 1)**2/4
Let k(j) = -7*j**2 + 130*j + 4229. Let n(l) = -9*l**2 + 130*l + 