st derivative of r(o). What is m in t(m) = 0?
-14, 1
Let l be (0/(-3 + (0 - -2)))/(-1). Let j(g) be the second derivative of 0*g**2 + 0*g**3 + 1/5*g**6 + 15*g + 0*g**4 - 1/10*g**5 + l. Factor j(q).
2*q**3*(3*q - 1)
Let f be 18/((-2)/(-1) + -1). Let m = 21 - f. Determine p, given that 0 + 9 - 5 - 13*p + m*p**2 = 0.
1/3, 4
Let t(j) be the second derivative of 18*j**4 + 1 + 55*j - 729/2*j**2 + 1/30*j**6 + 13/10*j**5 + 81*j**3. Suppose t(q) = 0. What is q?
-9, 1
Let r(a) = 29*a**3 + 174*a**2 - 13*a - 73. Let d be r(-6). Suppose 9/2*b**d - 12*b**4 + 0*b**3 - 9/2*b + 15*b**2 - 3 = 0. What is b?
-1, -1/3, 1, 2
Let m = 27327 - 27324. Factor 0 - 1/5*u**m + 4/5*u**2 - 3/5*u.
-u*(u - 3)*(u - 1)/5
Suppose -10*b = -16*b + 12. What is p in 70*p**2 - 137*p**b - 10*p + 81*p**2 - 4 = 0?
-2/7, 1
Let n = -1/2386 - -1223/71580. Let b(q) be the second derivative of 3 - 1/24*q**4 + n*q**6 + 1/12*q**3 + 0*q**2 + 11*q - 1/40*q**5. Suppose b(u) = 0. What is u?
-1, 0, 1
Suppose -19 + 3 = -4*a. Factor 8*h - 6*h**2 - 4*h**3 + 20*h**3 - 10*h**2 - a*h**4 - 4*h**2.
-4*h*(h - 2)*(h - 1)**2
Let o = 71179/3813 - 1/1271. Let g(m) be the second derivative of -16*m**2 + o*m**3 + 21/5*m**5 + 13*m - 3/5*m**6 + 0 - 73/6*m**4. Factor g(x).
-2*(x - 1)**2*(3*x - 4)**2
Determine t so that -49986673*t**2 + 175125837*t**2 - 79*t**4 + 2*t**5 + 2245*t**4 + 216*t**4 + 945652*t**3 - 125141546 - 524996*t - 420658*t = 0.
-397, -1, 1
Suppose -49*u = -42*u - 21. Let m be (-2)/(-42)*u*(-48)/(-18). Solve 2/21*i**2 - 2/7*i - m = 0 for i.
-1, 4
Let u(v) be the second derivative of -1/90*v**5 + 18*v + 0 + 5/6*v**4 - 37/2*v**2 - 25*v**3. Let c(t) be the first derivative of u(t). Factor c(d).
-2*(d - 15)**2/3
Let p(y) be the second derivative of -10*y**2 + 2*y + 11/6*y**4 - 13/2*y**3 + 39/20*y**5 - 1/15*y**6 + 30. Suppose p(i) = 0. Calculate i.
-1, -1/2, 1, 20
Factor -39675/2 + 345*z - 3/2*z**2.
-3*(z - 115)**2/2
Let h be (-20)/(-6)*336/32. Let v = -29 + h. Determine o, given that -v*o + 0*o**3 - 8*o**3 + 2*o**4 - 10*o**3 + 3*o**3 + 19*o**2 = 0.
0, 1/2, 1, 6
Suppose -3*y = 5 - 2, 3*z + y + 61 = 0. Let n be (-3 + 5)/(((-4)/z)/1). Factor 3*t + 2*t**3 + n*t**3 - 18*t**3 + 3*t**3.
-3*t*(t - 1)*(t + 1)
Let l be -2 + (-490)/(-8) + 129/(-172). Let i = l + -55. Let -2*w**2 + 5*w**4 + 0 - 3/2*w**5 - i*w**3 + 2*w = 0. Calculate w.
-2/3, 0, 1, 2
Let x = -184299/35 + 39132/7. Let v = 325 - x. Solve -18/5*h**2 - v*h**3 - 48/5*h - 32/5 = 0 for h.
-4, -1
Let h(k) be the first derivative of k**4/24 - 47*k**3/18 + 44*k**2 + 96*k + 389. Factor h(o).
(o - 24)**2*(o + 1)/6
Let a(v) be the first derivative of v**5/15 - 259*v**4/12 + 16640*v**3/9 + 8450*v**2/3 - 10019. Factor a(b).
b*(b - 130)**2*(b + 1)/3
Let w be 42/(-15) - -2 - ((-944)/80 + 13/(-13)). Factor 1/3*n**2 + 35/3 - w*n.
(n - 35)*(n - 1)/3
Let c(l) = -104*l**2 + 1854*l - 91. Let m(o) = -154*o**2 + 2781*o - 137. Let h(t) = 11*c(t) - 7*m(t). Factor h(x).
-3*(x - 14)*(22*x - 1)
Determine g so that 324*g + 0 - 2/3*g**3 - 482/3*g**2 = 0.
-243, 0, 2
Suppose 445*o - 3 + 3 = -138*o. Factor 0*u**2 + 4/3*u**3 - 4/9*u**4 - 16/9*u + o.
-4*u*(u - 2)**2*(u + 1)/9
Let o(n) be the third derivative of -n**5/60 - 13*n**4/8 + 41*n**3/3 - 2*n**2 - 514. Factor o(k).
-(k - 2)*(k + 41)
Let o be 0*(3/(-2))/((-21)/14). Suppose 4*q = 3*n - o - 11, -3*n - 4*q + 19 = 0. Factor 3*h**4 + 3*h**2 - n*h**4 - 3*h**3 + 3*h - 8*h**4 + 7*h**4.
-3*h*(h - 1)*(h + 1)**2
Let c(a) = -a**3 - 8*a**2 + 14*a + 115. Let m be ((-3)/2)/(9*3/144). Let p be c(m). Factor -p*o - 9/4 - 3/4*o**2.
-3*(o + 1)*(o + 3)/4
Let s(q) be the second derivative of 5/12*q**4 + 0 - 75/2*q**2 + 35/3*q**3 - 33*q. Factor s(t).
5*(t - 1)*(t + 15)
Let f = -1123 + 1671. Factor -r**4 + 30*r - 17*r**3 + f*r - 15*r**3 - 221*r**2.
-r*(r - 2)*(r + 17)**2
Let t = 133 - 115. Factor 6*q**2 - 19*q**3 + 3*q**2 + 2*q**3 + 7 + 15*q + t*q**3.
(q + 1)**2*(q + 7)
Let m(q) = 3*q + 2. Let g be m(2). Suppose -1158*r + 43200 = 750*r - 18303 + 447. Factor -1/2*f**2 - r - g*f.
-(f + 8)**2/2
Let q be (-5)/15*(-1 - -1) - 1. Let r(v) = -8*v**3 - 20*v**2 - 20*v - 4. Let c(a) = -a**3 - a**2 + 1. Let j(f) = q*r(f) + 4*c(f). Factor j(b).
4*(b + 1)**2*(b + 2)
Let z(m) = m**2 + 30*m - 35. Let a be z(-32). Let n(i) be the second derivative of a*i + 0 + 1/132*i**4 + 1/66*i**3 - 1/11*i**2. Factor n(o).
(o - 1)*(o + 2)/11
Let c = 25243/135509 + -1/1397. Let p = c - -190/1067. Factor -p*x**2 + 2/11 + 0*x + 0*x**3 + 2/11*x**4.
2*(x - 1)**2*(x + 1)**2/11
Let s(j) be the third derivative of -j**7/1260 + 3*j**6/80 + 29*j**5/360 - 3*j**4/16 - 7*j**3/9 - 19*j**2 - 116. What is q in s(q) = 0?
-1, 1, 28
Let a = -2917 - -1537. Let s = a - -4142/3. Determine h so that 0 + 2/3*h**2 - s*h = 0.
0, 1
Factor -48*x + 1/5*x**4 + 52/5*x**2 + 32/5*x**3 + 0.
x*(x - 2)*(x + 4)*(x + 30)/5
Let a(o) be the second derivative of -6 - 11/30*o**4 - 56/5*o**2 + 7*o + 62/3*o**3. Factor a(d).
-2*(d - 28)*(11*d - 2)/5
Let q be (2/7 - (-192)/(-84)) + 8. Suppose 14 = q*x + 2. Find a, given that -a**x - 49 + 289*a + 268*a - 543*a = 0.
7
Let i(p) = -55*p + 383. Let a be i(7). Let s be 3*a/(-18)*(-24)/(-32). Factor j**2 + 0 + s*j**3 + 3/4*j.
j*(j + 1)*(j + 3)/4
Let q be ((-2 - -7)/(124 - 89))/(3/42). Factor -4/5 - 12/5*o**q + 26/5*o.
-2*(o - 2)*(6*o - 1)/5
Let c(h) be the second derivative of 13/8*h**4 - 6*h + 7/60*h**6 - 33/40*h**5 - 3/2*h**2 - 7/12*h**3 + 0. Determine f so that c(f) = 0.
-2/7, 1, 3
Let q(m) be the first derivative of -m**8/336 + m**7/84 + 2*m**3/3 + 128*m - 222. Let o(i) be the third derivative of q(i). Factor o(c).
-5*c**3*(c - 2)
Let h(g) = -29*g - 30*g + g**2 + 60*g. Let x(q) = -9*q**3 + 10*q**2 - 3*q. Let n(z) = 5*h(z) + 5*x(z). Factor n(m).
-5*m*(m - 1)*(9*m - 2)
Let -369*z**3 + 344/3*z**4 - 608/3*z + 1310/3*z**2 - 35/3*z**5 + 32 = 0. Calculate z.
2/5, 3/7, 1, 4
Factor -73*v - 3*v + 436 - 140*v + 2*v**2 - 3*v**2.
-(v - 2)*(v + 218)
Let i(w) = w**2 - 4*w + 4. Let u = -28 + 30. Let k be i(u). Let -13*q**4 + q**5 + 13*q**4 - 2*q**3 + q + k*q**4 = 0. What is q?
-1, 0, 1
Factor 28*p + 1/3*p**2 + 81.
(p + 3)*(p + 81)/3
Let z(f) be the first derivative of -5*f**4/12 + 35*f**3/3 - 165*f**2/2 - 96*f + 84. Let o(u) be the first derivative of z(u). Factor o(t).
-5*(t - 11)*(t - 3)
Let y(w) = w**3 - 7*w**2 + 13*w - 20. Let j be y(4). Let h be (j/28)/(2/3)*-1. Factor 12/7*q**2 - 15/7*q + h - 3/7*q**3.
-3*(q - 2)*(q - 1)**2/7
Let j(h) = -h**2 - 6*h - 5. Let y(r) = 2*r - 44*r**2 + 0*r + 24*r**2 + 21*r**2 + 1. Let v(u) = -j(u) - 3*y(u). Let v(i) = 0. Calculate i.
-1, 1
Let k(l) = 5646*l - 287941. Let c be k(51). Suppose -q**3 + 0*q - 1/3*q**c - 1/3*q**2 - q**4 + 0 = 0. Calculate q.
-1, 0
Factor 27*w + 5/3*w**2 + 16/3.
(w + 16)*(5*w + 1)/3
Let f = -454816/3 + 151606. Solve -4*i + 10/3*i**2 - f*i**4 + 0 + 4/3*i**3 = 0.
-2, 0, 1, 3
Let g(s) = -144*s + 5040. Let q be g(35). Let k(b) be the second derivative of 0 + 23*b - 1/15*b**6 + 1/9*b**4 + 0*b**2 + 1/6*b**5 + q*b**3. Factor k(f).
-2*f**2*(f - 2)*(3*f + 1)/3
Let h(b) be the second derivative of b**4/48 - 169*b**2/8 + 2*b - 122. Factor h(f).
(f - 13)*(f + 13)/4
Let h(p) be the second derivative of -p**6/255 + 33*p**5/170 - 57*p**4/17 + 1148*p**3/51 - 1176*p**2/17 - p - 355. Suppose h(t) = 0. Calculate t.
2, 3, 14
Let z(x) be the third derivative of 0 + 207*x**2 + 0*x - 40/3*x**3 - 1/12*x**5 - 85/24*x**4. Factor z(l).
-5*(l + 1)*(l + 16)
Let b = 330 - 179. Determine g, given that 10*g**4 + 30*g**3 - 99*g**2 - 36 + 4*g**3 - 124 + 368*g - 2*g**5 - b*g**2 = 0.
-5, 1, 4
Factor -6/7*c**2 - 1320/7*c - 1314/7.
-6*(c + 1)*(c + 219)/7
Let x(f) be the second derivative of -f**7/10080 - f**6/320 + f**5/48 + f**4/12 + 19*f**3/3 + 73*f. Let d(v) be the third derivative of x(v). Factor d(i).
-(i - 1)*(i + 10)/4
Suppose 2*l = -5*u + 5, -7*u + 12*u + 3*l = 10. Let y be (u/2*(0 - 0))/3. Determine n so that 8/9*n**4 - 8/9*n**2 - 4/9*n + 4/9*n**5 + y*n**3 + 0 = 0.
-1, 0, 1
Determine x, given that -14*x**3 + 0 - 196/3*x**2 - 80*x - 2/3*x**4 = 0.
-15, -4, -2, 0
Let d be ((-156)/(-4212))/(66/27). Let t(f) be the second derivative of 38*f + 0 - 8/33*f**3 - 9/11*f**2 + d*f**4. Let t(j) = 0. Calculate j.
-1, 9
Find a, given that 63/5*a**3 + 306/5 - 543/5*a + 171/5*a**2 + 3/5*a**4 = 0.
-17, -6, 1
Let c(a) = -12*a**3 - 187*a**2 + 300*a + 187. Let y be c(-17). Factor y*m -