 -2, 0, 3
Let s(c) = -c**3 + 22*c**2 + 23*c + 3. Let v be s(23). Let -9*a**5 + 539*a**3 - 21*a**4 - 262*a**v - 259*a**3 = 0. What is a?
-3, 0, 2/3
Let s = 503 + -995. Let u = -490 - s. Solve 2/5 + 2*l + 2/5*l**u - 26/5*l**3 - 4/5*l**4 + 16/5*l**5 = 0 for l.
-1, -1/2, -1/4, 1
Suppose 4*k - 58564 = -y - 58572, 4*k = 4*y - 8. Solve 6/5*q**2 + 0 + y*q - 3/5*q**3 = 0.
0, 2
Suppose -22 + 274 = -7*u. Let o be (((-45)/u)/(-5))/(2/(-4)). Factor -1/2*f**3 - f**2 - o*f + 0.
-f*(f + 1)**2/2
Let x be (-13 + (-4216)/(-312))*(7 + 189/6 - 1). Factor -50/13*k + x + 2/13*k**3 - 10/13*k**2.
2*(k - 5)**2*(k + 5)/13
Let f(l) = -25*l**3 - 3428*l**2 - 122512*l - 24. Let s(m) = -115*m**3 - 15770*m**2 - 563555*m - 110. Let d(i) = -55*f(i) + 12*s(i). Find c, given that d(c) = 0.
-70, 0
Factor 0*f**4 + 240*f + 15*f**3 - 144*f**2 + 5*f**4 - 26*f**2 + 0*f**2.
5*f*(f - 3)*(f - 2)*(f + 8)
Find c, given that -2002020*c + 5*c**5 + 1339560 - 3134*c**2 + 2018*c**4 - 7836*c**2 + 1642*c**4 + 669765*c**3 = 0.
-366, -2, 1
Factor 285*i - 322953*i**3 + 322964*i**3 + 593*i**2 + 55 - 944*i.
(i - 1)*(i + 55)*(11*i - 1)
Let w(n) = 3*n**3 + 949*n**2 + 223732*n - 224694. Let q(a) = 43*a**3 + 13287*a**2 + 3132250*a - 3145725. Let m(z) = 6*q(z) - 87*w(z). Find b such that m(b) = 0.
-474, 1
Suppose t - 19 = 2*u, -3*t = -3*u + 59 - 92. Find p, given that 0 - 6*p - 14*p**2 - 23/2*p**t - 4*p**4 - 1/2*p**5 = 0.
-3, -2, -1, 0
Let b(c) be the third derivative of c**7/735 - 13*c**6/420 + 2*c**5/15 + 17*c**4/7 - 240*c**3/7 + 2974*c**2. Determine h so that b(h) = 0.
-4, 5, 6
Suppose -120687/4*g**3 - 7373*g - 51639/2*g**2 - 702 - 343/4*g**4 = 0. Calculate g.
-351, -2/7
Suppose 41239*w**3 + 162*w**5 - 41888*w - 10966*w**4 - 394 - 134615*w**3 - 123344*w**2 - 9536*w**4 - 3476 - 322 = 0. Calculate w.
-2, -2/9, 131
Let p = 281271 - 281271. What is w in p - 3/7*w**3 + 36/7*w + 12/7*w**2 = 0?
-2, 0, 6
Let w(p) = p**2 - 27*p + 2. Let m be w(27). Let b be 4/16 + 6/(-216). Solve -b*s**3 + 8/9*s**m + 4/9 - 10/9*s = 0.
1, 2
Let r(j) be the third derivative of -j**7/420 + 41*j**6/240 - 2*j**5 - 84*j**4 - 4705*j**2 - j. Factor r(f).
-f*(f - 24)**2*(f + 7)/2
Let w(n) be the second derivative of n**8/1680 + n**7/210 - n**6/180 - n**5/10 + 95*n**4/12 + 67*n. Let l(v) be the third derivative of w(v). Factor l(k).
4*(k - 1)*(k + 1)*(k + 3)
Let h(d) = 148*d**2 + 15*d + d**3 - 52*d - 114*d**2 - 6 - 62. Let x be h(-35). Find i, given that -1/3*i**x + 8/3*i - 16/3 = 0.
4
Let x = -52848 - -52850. Factor -14/9*p + 1/9*p**x + 13/9.
(p - 13)*(p - 1)/9
Let t = 12077/2 - 6038. Factor -9/2*i**4 + 3/2*i**3 + 73/2*i**2 + 18 + t*i**5 + 48*i.
(i - 6)**2*(i + 1)**3/2
Let u(v) = -4894*v - 19574. Let d be u(-4). Let -2523/2*m + 87/2*m**d - 1/2*m**3 + 24389/2 = 0. Calculate m.
29
Suppose -240*z + 23097 = 22377. Let 2/9*i**z + 14/9 + 10/3*i + 2*i**2 = 0. Calculate i.
-7, -1
Let a(d) = 6*d - 4. Let j be a(1). Let -165*c**j - 50*c**3 - 100 + 82*c**4 - 158*c**4 + 71*c**4 - 220*c = 0. What is c?
-5, -2, -1
Let u(v) be the third derivative of v**6/24 + 28*v**5/3 + 185*v**4/8 - 295*v**2. Determine x so that u(x) = 0.
-111, -1, 0
Let i(p) = 35*p**2 + 3. Let o(j) = -176*j**2 + 25*j - 129. Let t(z) = 10*i(z) + 2*o(z). Determine b so that t(b) = 0.
6, 19
Let l(z) be the third derivative of 0 + 5/42*z**4 + 0*z + 4/7*z**3 - 4/105*z**5 - 110*z**2. Determine f, given that l(f) = 0.
-3/4, 2
Let -247*y**2 + 141*y**3 - 3*y**4 + 94*y + 195*y - 180*y**2 + 65*y - y**4 - 64 = 0. What is y?
1/4, 1, 2, 32
Suppose 303 - 18 = 146*c + 153*c - 313. What is i in -1/3*i - 4 + 1/3*i**c = 0?
-3, 4
Let y(a) be the third derivative of a**5/20 + 53*a**4/8 + 198*a**3 - 1371*a**2. Factor y(k).
3*(k + 9)*(k + 44)
Let r(z) be the second derivative of 5 + z - 7/6*z**4 - 2*z**2 - 3*z**3. Determine m, given that r(m) = 0.
-1, -2/7
Let m be (3/(-16))/((-1323)/31752). What is d in 0 - m*d + d**4 + 29/4*d**3 - 65/4*d**2 = 0?
-9, -1/4, 0, 2
Suppose -4*y = 3*p + 6, -11*y + 4*y - 3*p = -3. Let g(n) be the first derivative of 0*n**2 - 4/3*n**y + 0*n + 11. What is q in g(q) = 0?
0
Let q = -487309/21 + 23209. Suppose -q*o**2 - 6/7 + 8/21*o**3 + 74/21*o = 0. Calculate o.
1/2, 9
Factor -14/5*m**3 - 674/5*m**2 - 1632*m - 1152/5.
-2*(m + 24)**2*(7*m + 1)/5
Determine c, given that 338/11*c**2 + 49298/11 - 8164/11*c = 0.
157/13
Find t, given that 512/3*t**4 + 0 - 10922*t**3 - 512/3*t**2 + 32768/3*t - 2/3*t**5 = 0.
-1, 0, 1, 128
Let p(z) be the first derivative of z**4/20 + 16*z**3/15 + 3*z**2/2 + 1547. Factor p(b).
b*(b + 1)*(b + 15)/5
Let d(p) be the first derivative of -5/168*p**4 - 11/2*p**2 + 0*p - 1/21*p**3 + 1/60*p**5 - 40. Let v(u) be the second derivative of d(u). Solve v(r) = 0 for r.
-2/7, 1
Let x(m) be the third derivative of -7/240*m**6 + 7/48*m**4 - 11/120*m**5 + 2*m**2 - 21 - 1/420*m**7 + 0*m + m**3. What is g in x(g) = 0?
-4, -3, -1, 1
Factor 5*f**2 - 29818*f + 15931*f + 14992*f.
5*f*(f + 221)
Let w(t) = -11*t**2 + 6108*t - 6055. Let p(g) = -23*g**2 + 12224*g - 12110. Let s(m) = 6*p(m) - 13*w(m). Solve s(y) = 0.
1, 1211
Let r(j) be the third derivative of -j**6/40 - 9*j**5/10 + 5*j**4 - 179*j**2 - j. Suppose r(g) = 0. Calculate g.
-20, 0, 2
Let o = -824171/4 + 206043. Factor -1/4 + 1/4*j**2 - 1/4*j**3 + o*j.
-(j - 1)**2*(j + 1)/4
Suppose -44 = 29*q - 131. Find s such that 6*s - 4*s**4 - 163 + 165 - 4*s**q + 4*s**2 - 2*s**4 - 2*s**5 = 0.
-1, 1
Solve -210*h**4 + 22*h**5 - 416*h**2 - 3372*h**3 - 422*h**2 + 318*h**2 + 2*h**5 - 1298*h**4 = 0 for h.
-2, -1/6, 0, 65
Let r be 6/4*(-24 - 3040/(-120)). Let j(s) be the second derivative of 3/80*s**5 + 14*s + 0 + 0*s**3 - 3/16*s**4 + 0*s**r. Let j(u) = 0. Calculate u.
0, 3
Let l(h) be the second derivative of -h**4/12 - 3*h**3/2 - 6*h**2 + 25*h. Let j be l(-7). Factor -4/3*x**j + 5/3*x + 1/3*x**3 - 2/3.
(x - 2)*(x - 1)**2/3
Let 2*a**3 + 2295*a - 960 - 5*a**3 - 1119 + 8*a**3 - 405*a**2 - 1296 = 0. Calculate a.
3, 75
Let z(g) be the second derivative of -3*g**5/140 + 3*g**4/4 - 9*g**3/7 - 60*g**2/7 - 48*g + 7. Suppose z(j) = 0. Calculate j.
-1, 2, 20
Let w(z) = -20*z**2 - 234*z - 597. Let f(x) = -11*x**2 - 116*x - 302. Let o(t) = -11*f(t) + 6*w(t). Find v such that o(v) = 0.
-2, 130
Let d(u) = 2*u**2 + 2*u. Let h be d(-2). Let i be ((1 - 1) + 3)/(-6 + 49/7). Determine f so that -344*f**h + f**3 + 349*f**4 - 15*f**2 - 10*f - f**i = 0.
-1, 0, 2
Let i be (3 - (-1804)/32)/((-2)/(-8)). Let b = i - 237. Factor 5/2*l - 3 - b*l**2.
-(l - 3)*(l - 2)/2
Let w = -74550 - -74552. Factor -2/17*h**3 + 8/17*h - 6/17*h**w + 0.
-2*h*(h - 1)*(h + 4)/17
Solve 35641/7*i**3 + 1330020/7*i**2 + 326/7*i**4 + 2554416/7*i + 1259712/7 + 1/7*i**5 = 0.
-108, -1
Suppose -8*o**2 + 4*o**3 - 753*o - 777*o - 40 + 1478*o = 0. What is o?
-2, -1, 5
Factor 24*l**2 - 96 - 65*l**2 - 32*l + 327 + 42*l**2.
(l - 21)*(l - 11)
Determine u so that -123/4*u**3 + 27*u**2 + 0 + 3*u**4 + 3/4*u**5 + 0*u = 0.
-9, 0, 1, 4
Factor 1/2*d**2 + 17 + 19/2*d.
(d + 2)*(d + 17)/2
Factor -905*o**2 - 909*o**2 - 114 + 1817*o**2 - 111*o.
3*(o - 38)*(o + 1)
Let o(j) be the third derivative of 28 + j**2 + 0*j**3 + 1/10*j**5 - 1/40*j**6 + 0*j + 0*j**4. Let o(g) = 0. Calculate g.
0, 2
Let h(o) be the third derivative of o**7/420 - 59*o**6/240 + 383*o**5/40 - 2715*o**4/16 + 2025*o**3/2 + 10*o**2 - 414. Let h(k) = 0. Calculate k.
2, 15, 27
Suppose 192*t - 16736 + 16352 = 0. Let w be 2/(-9) + (-5)/(-9). What is j in -1/3 - w*j**3 + 1/3*j**t + 1/3*j = 0?
-1, 1
Find q, given that 4024/13*q + 2/13*q**2 + 2024072/13 = 0.
-1006
Factor -118*j - 2*j**2 + 10*j**2 + 32*j**4 - 74*j - 136*j**2 + 4*j**5 + 32*j**3.
4*j*(j - 2)*(j + 2)**2*(j + 6)
Let l(i) be the first derivative of 6/5*i**2 - 13/15*i**3 + 3/10*i**4 - 4/5*i + 57 - 1/25*i**5. Factor l(m).
-(m - 2)**2*(m - 1)**2/5
Let l = -2224 - -1569. Let p = -639 - l. Factor -p*k - 8/9*k**3 - 22/3*k**2 - 32/9.
-2*(k + 4)**2*(4*k + 1)/9
Let r = -7414 + 7414. Let z(s) be the second derivative of 0 - s - 1/2*s**3 + r*s**4 + 1/20*s**5 + s**2. Factor z(w).
(w - 1)**2*(w + 2)
What is b in -1/4*b**3 - 268203*b - 53461798 - 897/2*b**2 = 0?
-598
Suppose -134*x + 15643043*x**3 - 2060*x**2 - 15643818*x**3 - 45*x**4 - 286*x = 0. Calculate x.
-14, -3, -2/9, 0
Factor -6 - 4*h + 25/2*h**2 - 13/2*h**3 + h**4.
(h - 3)*(h - 2)**2*(2*h + 1)/2
Let v(u) be the first derivative of u**3/3 + 52*u**2