ppose -89*h = -90*h + 3. Factor 2*p**3 - 15*p**4 + 5*p**5 - 10*p + 6*p**h - 4*p**2 - 3*p**3 + 19*p**2.
5*p*(p - 2)*(p - 1)**2*(p + 1)
Let q be (14 - 12)*(4 + -3). Suppose 140*v - 372*v**2 - 130*v + 1077*v**q = 0. What is v?
-2/141, 0
Let q(f) = 2298*f - 45955. Let w be q(20). Find p such that 2/11*p**w - 18/11 + 4/11*p**3 - 10/11*p**4 - 6/11*p + 28/11*p**2 = 0.
-1, 1, 3
Let k(g) be the second derivative of -g**7/336 + 3*g**6/80 - 3*g**5/40 - 5*g**4/6 + 4*g**3 + 2328*g. Factor k(w).
-w*(w - 4)**3*(w + 3)/8
Let j(t) be the first derivative of -t**6/9 - 2*t**5/3 - 5*t**4/6 + 10*t**3/9 + 2*t**2 - 953. Suppose j(d) = 0. Calculate d.
-3, -2, -1, 0, 1
Let 64/3*c + 72*c**3 + 352/3*c**2 + 14/3*c**4 - 32 - 10/3*c**5 = 0. What is c?
-2, -1, 2/5, 6
Let s = 3929003/916769 + 1/130967. Determine b so that 2/7*b**2 + 4 - s*b = 0.
1, 14
Find n, given that 80/7*n - 80/7*n**3 + 2/7*n**4 - 260/7*n**2 + 258/7 = 0.
-3, -1, 1, 43
Let j(i) = -295*i + 21244. Let v be j(72). Solve -30*x**3 + 0*x**2 + 0 - 5/2*x**v + 0*x = 0 for x.
-12, 0
Let l be (9/2)/9 - 3885/14. Let x = -275 - l. Factor -2/9*d**3 + 2/9*d - 2/9*d**x + 2/9.
-2*(d - 1)*(d + 1)**2/9
Let o(f) be the second derivative of -f**4/20 + 31*f**3/10 - 126*f**2/5 + 4293*f. What is j in o(j) = 0?
3, 28
What is o in -108/13 - 150/13*o - 2/13*o**3 - 44/13*o**2 = 0?
-18, -3, -1
Determine y so that -231*y**2 + 11 - 6236*y + 6695*y - 173 + y**3 - 67 = 0.
1, 229
Factor 48/11*s - 2/11*s**2 - 256/11.
-2*(s - 16)*(s - 8)/11
Let -12/5*u**2 - 64/5*u + 48/5 = 0. Calculate u.
-6, 2/3
Let y(l) = -25*l - 96. Let c be y(-4). Factor -n**3 + 2*n - n - 580*n**2 + n**c + 2 + 577*n**2.
(n - 2)*(n - 1)*(n + 1)**2
Let u be 1/(1*(-5)/(-355)). Let f = -69 + u. Factor d**2 - 2*d**f - 5*d**2 - 4 + 7*d**2 + 3*d.
(d - 1)*(d + 4)
Factor -213858/11 - 2/11*x**2 - 1308/11*x.
-2*(x + 327)**2/11
Suppose 5*r - 59 = 8*d, -2195*d + r - 7 = -2191*d. Let -6/5*a**4 + 0*a**3 + 0*a**d + 0*a - 2/5*a**5 + 0 = 0. What is a?
-3, 0
Let n = 19295/12 - 1585. Let z = n - 89/4. Determine f so that -12*f - z*f**2 - 54 = 0.
-9
Let r(i) be the first derivative of i**3/15 - 663*i**2/5 + 439569*i/5 + 2356. Factor r(s).
(s - 663)**2/5
Let -l**4 + 3*l**2 - 233089*l**3 - 1 + 3 + 5*l + 233088*l**3 = 0. Calculate l.
-1, 2
Let q(f) be the first derivative of -f**3/15 + 141*f**2/10 + 296. Factor q(k).
-k*(k - 141)/5
Let r be 3/360*16 + (-4)/30. Let u(w) be the second derivative of r*w**2 + 0 - 1/2*w**6 - 27/20*w**5 - 2*w - 7/4*w**4 - w**3 - 1/14*w**7. Factor u(h).
-3*h*(h + 1)**3*(h + 2)
Let u be (-14)/((2 - (-21)/(-6))/3). Factor 31*x - 31*x**2 + u*x**2 + 11*x - 39.
-3*(x - 13)*(x - 1)
Let x(s) be the second derivative of 2*s**7/21 + 22*s**6/3 + 194*s**5 + 4750*s**4/3 - 25270*s**3/3 + 13718*s**2 - s + 126. Factor x(f).
4*(f - 1)**2*(f + 19)**3
Let 3*r**2 - r**2 - 257 + 12*r - 267 + 492 = 0. Calculate r.
-8, 2
Let t(o) = -14*o**3 - 219*o**2 + 3*o + 186. Let i(b) = -5*b**3 - 73*b**2 + b + 61. Let y(m) = 11*i(m) - 4*t(m). Factor y(x).
(x - 1)*(x + 1)*(x + 73)
Find m such that 128 - 9/4*m**5 - 66*m**4 + 2865/2*m**2 - 1549/4*m**3 - 816*m = 0.
-16, 1/3, 2
Let j = -222023 + 222023. Factor -5/8*r**4 - 1/8*r**5 - r**3 - 1/2*r**2 + j*r + 0.
-r**2*(r + 1)*(r + 2)**2/8
Let n be (236/(-6136))/(12/(-26)). Let i(w) be the first derivative of 7/8*w**2 + 3/2*w + 2 + n*w**3. Find b, given that i(b) = 0.
-6, -1
Suppose 2*r - z + 11 = 0, -3*r - 33 = -2*z - 14. Let t be (-970)/291*(r/5)/1. Solve 2/5*p + 1/5 - 1/5*p**t - 2/5*p**3 = 0 for p.
-1, -1/2, 1
Let t(k) be the second derivative of -k**5/5 + k**4 + 8*k**3/3 + 201*k - 2. Solve t(g) = 0.
-1, 0, 4
Let 1/3*a**2 - 10 + 7/3*a = 0. What is a?
-10, 3
Let q(p) be the first derivative of -23 - 8/3*p + 1/3*p**4 - 2/3*p**2 + 8/9*p**3. Factor q(n).
4*(n - 1)*(n + 1)*(n + 2)/3
Let y(z) = -z**2 + 13*z + 56. Let j be y(16). Suppose 4*g = -g + 2*w - j, g - 16 = -4*w. Let 5/2*r**5 + g + 5/2*r**4 + 0*r + 0*r**3 + 0*r**2 = 0. Calculate r.
-1, 0
Let l(c) be the first derivative of -5*c**3/3 - 225*c**2 - 445*c + 1071. Solve l(n) = 0 for n.
-89, -1
Let r = 112129/6 - 18688. Suppose -17/3*q + r*q**2 + 289/6 = 0. Calculate q.
17
Suppose -11/4*z**3 - 1/2*z**4 + 1/4*z**5 + 7*z + z**2 + 4 = 0. What is z?
-2, -1, 2, 4
Let y be (2/(-4))/(13/(-130)). Let h = -16 + 36. Determine u, given that 10*u**4 + h*u - 20*u**2 + 5*u**5 + 3*u**y - 7*u**3 - 8*u**3 - 3*u**5 = 0.
-2, 0, 1
Let g be 8/((-3)/(-120)*2). Suppose 554 = 4*u - 2*y, -5*y - 285 + 260 = 0. Factor -128/3 + g*d + 3*d**4 + 106/3*d**3 + u*d**2.
(d + 4)**3*(9*d - 2)/3
Suppose -3*o + 2 = -7, 0 = 3*x - 3*o. Let r = x + 0. Solve 2*i - 4*i**4 + 0*i**4 - 4*i**r + 4*i**4 + 2*i**5 = 0.
-1, 0, 1
Let x(n) be the second derivative of n**7/14 + 7*n**6/10 - 3*n**5/20 - 67*n**4/4 - 30*n**3 + 504*n. Let x(i) = 0. Calculate i.
-5, -4, -1, 0, 3
Let r(v) be the third derivative of -v**8/42 - 62*v**7/315 - 3*v**6/10 + 2*v**5/15 + 4*v**4/9 - 9793*v**2. Let r(i) = 0. What is i?
-4, -1, -2/3, 0, 1/2
Let g = -143528 + 574127/4. Determine y so that g*y - 3/8*y**4 + 9/4*y**3 - 9/2*y**2 - 9/8 = 0.
1, 3
Let t = -2/195123 + 780514/2146353. Determine b so that t + 17/11*b**2 - 21/11*b = 0.
4/17, 1
Factor -321*m + 11*m + 38*m - 421 + 84*m**2 + 629.
4*(m - 2)*(21*m - 26)
Suppose 7 = 5*x - 3. Let w(d) = -27*d + 246. Let y be w(9). Factor -153 - 663*q**y - 168*q**x - 507*q**4 + 153 - 12*q.
-3*q*(q + 1)*(13*q + 2)**2
Let a(x) be the first derivative of 5/6*x**2 + 58 - 1/3*x**3 + 1/15*x**5 - 2/3*x - 1/12*x**4. Factor a(u).
(u - 1)**3*(u + 2)/3
Let g(u) be the second derivative of -2/3*u**3 + 0 + 16*u + 5/2*u**2 - 1/12*u**4. Factor g(v).
-(v - 1)*(v + 5)
Let x(m) be the third derivative of -m**5/15 + 251*m**4/3 - 998*m**3 + 1013*m**2 + 2*m + 2. Solve x(z) = 0 for z.
3, 499
Suppose 13*d**4 + 333 + 185*d**3 - 1305*d - 138 - 935*d**2 + 1840*d + 3*d**4 + 4*d**4 = 0. What is d?
-13, -1/4, 1, 3
Let u be ((294/(-12))/7)/(-1*(10 + -3)). Let y(w) be the first derivative of u*w**2 - 1/3*w**3 + 11 + 2*w. Factor y(b).
-(b - 2)*(b + 1)
Let h = -8/34873 + 69850/453349. Let b(a) = a**3 - 2*a**2 - 4*a + 3. Let m be b(3). Factor h*p - 2/13*p**2 + m.
-2*p*(p - 1)/13
Factor -42 + 1/2*y**4 - 3/2*y**2 + 64*y - 21*y**3.
(y - 42)*(y - 1)**2*(y + 2)/2
Suppose -46 = -10*a - 25 - 21. Let x(v) be the second derivative of -1/170*v**5 - 1/102*v**4 + 1/51*v**3 + 23*v + a + 1/17*v**2. Factor x(j).
-2*(j - 1)*(j + 1)**2/17
Let w(t) be the third derivative of -2*t**7/105 - 319*t**6/120 - 1657*t**5/15 - 3497*t**4/8 + 507*t**3 + 2*t**2 - 884*t - 1. Determine b, given that w(b) = 0.
-39, -2, 1/4
Suppose 54*n - 28 = 114 - 34. Let k(w) be the third derivative of 0*w - 3/5*w**3 + 1/20*w**4 - 12*w**n - 1/600*w**5 + 0. Factor k(a).
-(a - 6)**2/10
Let i(t) = 290*t + 2038. Let d be i(-7). Let g(f) be the first derivative of 16/3*f**3 - d*f - 8/5*f**5 + 3 - 2*f**4 + 2/3*f**6 + 2*f**2. What is q in g(q) = 0?
-1, 1, 2
Suppose -102*q + 2928 = -86*q. Let n be 1/12 + q/60 + -3. Factor n*a**2 - 2/15*a**3 + 0*a + 0.
-2*a**2*(a - 1)/15
Let t = 1643 + -1638. Suppose -22 - 8 = -5*o. Factor t*r**2 + 0*r**3 - o*r**3 - 10*r + 3 + 7*r**2 + r**4 + 0*r**3.
(r - 3)*(r - 1)**3
Let m(y) = y**3 - 7*y**2 - 6*y + 14. Let p be m(8). Let c = p + -28. What is b in 27*b**5 - 20*b**3 + 2*b**3 + 67*b**4 + 17*b**c + 8*b**4 - 125*b**2 + 24*b = 0?
-2, 0, 2/9, 1
Let a(m) be the third derivative of -m**5/330 - 25*m**4/22 - 149*m**3/33 + 533*m**2 - 2. Solve a(h) = 0 for h.
-149, -1
Let b(u) be the second derivative of 3*u**5/70 - 9*u**4/7 + 11*u**3 - 16*u + 24. Factor b(t).
6*t*(t - 11)*(t - 7)/7
Determine y, given that -2/11*y**2 + 800/11 - 798/11*y = 0.
-400, 1
Let m(t) = -t**3 - 15*t**2 - 20*t - 297. Let i be m(-15). Let u(l) be the first derivative of -3/4*l**4 + 6*l**2 + 41 - l**i + 12*l. Factor u(d).
-3*(d - 2)*(d + 1)*(d + 2)
Let v(s) be the first derivative of 363/5*s - 74/15*s**3 + 248 - s**4 - 1/25*s**5 + 154/5*s**2. Factor v(g).
-(g - 3)*(g + 1)*(g + 11)**2/5
Suppose -696 = -38*q - 620. Solve -3/7*m**q - 8/7*m + 3/7 = 0 for m.
-3, 1/3
Let d(a) be the first derivative of -5*a**3/18 + 5*a**2/3 - 5*a/2 - 1107. Suppose d(p) = 0. Calculate p.
1, 3
Let g(u) = -8*u**5 - 6*u**4 + 37*u**3 + 59*u**2 + 5. Let n(r) = 28*r**5 + 20*r**4 - 130*r**3 - 206*r**2 - 18. Let a(k) = -18*g(k) - 5*n(k). Factor a(i).
4*i**2*(i - 2)*(i + 2)