, 0, 1, 2
Let o(r) = -30*r**2 - 71718*r - 42912459. Let p(m) = -3*m**2 - 7172*m - 4291246. Let f(s) = 2*o(s) - 21*p(s). Factor f(j).
3*(j + 1196)**2
Factor -16/7*j**4 + 50/7*j**3 - 16/7 - 76/7*j**2 + 8*j + 2/7*j**5.
2*(j - 2)**3*(j - 1)**2/7
Let r(h) be the first derivative of -8/7*h**2 - 20/21*h**3 + 5 + 4/7*h. Factor r(k).
-4*(k + 1)*(5*k - 1)/7
Let g be (-4 + 358/90)/((-34)/12). Let v = 104/255 - g. Let -4/5*w - 2/5*w**2 - v = 0. What is w?
-1
Suppose -11*u = -26*u + 30. Factor -9*h**3 + 16*h**3 - h**4 - h**4 - 7*h**u + 2*h.
-h*(h - 2)*(h - 1)*(2*h - 1)
Let g = 1325387589467/850250454561 - 24/102798991. Let p = g + -3/919. Solve -4/3*f + p - 2/9*f**2 = 0.
-7, 1
Let j(c) be the third derivative of -c**6/480 + 13*c**5/120 + 155*c**4/96 + 2194*c**2. Let j(q) = 0. What is q?
-5, 0, 31
Let a be 2 - ((-6)/21 + 8/28). What is w in 16*w**4 + 32 - 26*w**4 - 8*w**3 - 2*w**5 + 64*w - 12*w**2 + 11*w**2 + 33*w**a = 0?
-2, -1, 2
Factor 51 + 252615*m**2 + 39 - 126303*m**2 + 51*m - 126309*m**2.
3*(m + 2)*(m + 15)
Suppose -3*y + 365 = 359. Find b such that -185*b**2 + 4*b**5 + 12*b + 512*b**y - 162*b**2 + 48*b**3 - 24*b**4 - 205*b**2 = 0.
0, 1, 3
Find q, given that -1/4*q**3 - 15/4*q**2 - 8*q + 12 = 0.
-12, -4, 1
Let h(a) = -126*a**4 - 1798*a**3 - 176*a**2 - 20. Let f(j) = -18*j**4 - 257*j**3 - 25*j**2 - 3. Let z(w) = 20*f(w) - 3*h(w). What is q in z(q) = 0?
-14, -1/9, 0
Let g(l) be the first derivative of -2/3*l**3 - 11/2*l**4 + 11*l**2 + 2/5*l**5 + 16 + 0*l. Determine z so that g(z) = 0.
-1, 0, 1, 11
Let d(f) = 85*f - 511. Let m be d(6). Let c be (-16)/(-24)*10/4 + m. Factor 12*o + 54 + c*o**2.
2*(o + 9)**2/3
Let s be (-1 - -4) + -3 + 2*3. Let q be (2/18*3)/(s/30). Determine v, given that 4/3*v - q - 4/3*v**3 + 2*v**2 - 1/3*v**4 = 0.
-5, -1, 1
Let r be (-348 + 344)*(-11)/6. Factor -2/3*p**3 - r*p + 14/3*p**2 + 10/3.
-2*(p - 5)*(p - 1)**2/3
Let p = -21426 + 21428. Solve 2/9*a**p + 2 - 20/9*a = 0.
1, 9
Suppose 39*n - 495 = 6*n. Factor -n*b - 155*b**3 - 162*b**3 + 7 + 316*b**3 + 9*b**2.
-(b - 7)*(b - 1)**2
Suppose -5*t + 0*y - 3*y = -17, 0 = 2*t - 3*y - 11. Suppose 0 = 4*i - 3*b - 15, -t*i + 4*b = -2*i. Factor -9*c**2 + 6 - 3 - 3*c**3 + 3*c + i.
-3*(c - 1)*(c + 1)*(c + 3)
Let g = 121/714 - 1/357. Let a = 4/3 + g. What is w in -6*w + a*w**2 + 6 = 0?
2
Let p be 141/(-329) - (142/42)/((-120)/16). Let d(k) be the third derivative of 0 + p*k**5 - 1/270*k**6 + 0*k + 12*k**2 + 2/27*k**3 - 1/18*k**4. Factor d(v).
-4*(v - 1)**3/9
Suppose -4*c = -5*w + 37, 17*w - 5*c = 20*w. Let r(n) be the first derivative of 15/4*n**4 + 2*n**5 + 0*n + 29 - 5*n**2 - w*n**3. Suppose r(t) = 0. What is t?
-2, -1/2, 0, 1
Suppose 3*m = 3*d - 12, -4*d + m + 0*m + 31 = 0. Suppose -4*o - d = -7*o. Factor -1088*q + 0*q**4 + o*q**3 + 1089*q + 3*q**2 + q**4.
q*(q + 1)**3
Let t(f) be the third derivative of 0*f + 7/6*f**3 + 59*f**2 - 1/24*f**4 - 7/60*f**5 - 1 + 1/120*f**6. Let t(d) = 0. What is d?
-1, 1, 7
Factor -44*u**2 + u + 35*u - 38*u**3 - 10660 + 2*u**3 + 4*u**4 + 10700.
4*(u - 10)*(u - 1)*(u + 1)**2
Factor -89*w**2 - 4*w**3 + 10*w - 86*w**2 - 91*w**2 + 269*w**2 + 3*w**3.
-w*(w - 5)*(w + 2)
Suppose -9 + 19 + 90 + 128 + 116*f + f**2 = 0. What is f?
-114, -2
Factor 6*c**4 - 868184610 - 3644*c**3 - 1033*c**3 - 944150875 - 1804709950*c - c**4 + 7614840*c**2 - 6013*c**3.
5*(c - 713)**3*(c + 1)
Determine a so that -39/2*a**4 - 1/2*a**5 + 41*a**3 + 41/2 - 81/2*a - a**2 = 0.
-41, -1, 1
Let c(t) = -8*t**2 - 26*t + 34. Let i(n) = -26*n**2 - 71*n - 6*n + 133 - 30. Let x(k) = -7*c(k) + 2*i(k). Let x(q) = 0. What is q?
-8, 1
Let u(n) be the second derivative of -n**4/16 + 55*n**3/2 - 9075*n**2/2 - 595*n. Factor u(c).
-3*(c - 110)**2/4
Let s(f) be the second derivative of f**7/56 + 9*f**6/40 - 27*f**5/16 - 113*f**4/16 - 15*f**3/2 - 423*f - 2. Let s(m) = 0. What is m?
-12, -1, 0, 5
Let m(y) be the first derivative of y**5/55 + y**4/66 - y**3/33 + 131*y - 47. Let x(z) be the first derivative of m(z). Find d such that x(d) = 0.
-1, 0, 1/2
Let o(b) be the second derivative of -b**6/135 + 19*b**5/90 + 7*b**4/18 - 19*b**3/27 - 20*b**2/9 + 1406*b. Determine s, given that o(s) = 0.
-1, 1, 20
Let h = -8512 - -8515. Let r(l) be the third derivative of 0*l + 7*l**2 - 1/24*l**h + 0*l**4 + 1/240*l**5 + 0. Factor r(d).
(d - 1)*(d + 1)/4
Let s be 3 - 1 - -2 - (-1)/1. Solve 2*u - 5*u + u**s - 138*u**3 + 136*u**3 + 4*u = 0 for u.
-1, 0, 1
Let c(m) be the third derivative of -m**7/945 - 11*m**6/540 + 28*m**5/135 - 5*m**4/9 - 24*m**2 - 5*m. Factor c(y).
-2*y*(y - 2)**2*(y + 15)/9
Factor 15*i**2 + 97 - 225*i - 714*i**3 - 972 + 719*i**3.
5*(i - 7)*(i + 5)**2
Let g(q) = -q**4 - 196*q**3 - 1957*q**2 - 7580*q - 5813. Let n(x) = 99*x**3 + 978*x**2 + 3789*x + 2907. Let d(l) = 3*g(l) + 5*n(l). Find b, given that d(b) = 0.
-11, -8, -1
Let a(s) be the second derivative of -s**4/6 + 29*s**3/6 - 11*s**2/2 + 15*s. Let o be a(14). Factor -5*p**2 - 8 + 1 + 174*p**o - 13*p - 173*p**3.
(p - 7)*(p + 1)**2
Suppose 7 = -i + 37. Let m = 295 - 281. What is s in 5 + m*s**2 - i*s**2 + 11*s**2 = 0?
-1, 1
Let u(w) be the third derivative of -1/45*w**5 + 0*w - 1/3*w**3 - 1/720*w**6 + 48*w**2 - 19/144*w**4 + 0. Suppose u(m) = 0. What is m?
-4, -3, -1
Let f(m) = 5*m - 72. Let d be f(15). Suppose 5*j - 17 = -d*k, 4*j = 5*k - 3*k + 18. Factor -10/3 + j*b - 2/3*b**2.
-2*(b - 5)*(b - 1)/3
Let t(k) = -6*k + 11. Let q be t(1). Let -16*x**4 - 2*x**4 + 19*x**4 + 7*x - 13*x**2 + q*x**3 = 0. What is x?
-7, 0, 1
Let b(x) be the third derivative of 52*x**2 + 0*x**3 + 0*x + 160/3*x**4 - 85/8*x**6 - 16/21*x**7 + 0 - 5/336*x**8 + 8/3*x**5. Solve b(r) = 0.
-16, -1, 0, 1
Let n(y) be the third derivative of -1/420*y**6 + 0 + 0*y**3 + 0*y**4 + 0*y + 1/210*y**5 + 83*y**2. Factor n(p).
-2*p**2*(p - 1)/7
Let t(m) be the second derivative of -m**4/138 + 52*m**3/3 - 15548*m**2 + 999*m - 2. Factor t(c).
-2*(c - 598)**2/23
Solve 333 + 324 - 1163 - 3*n**2 - 120*n + 382 + 7*n**2 = 0 for n.
-1, 31
Suppose 10*u**2 - 4*u**4 + 3813*u - 3029*u + 720 + 218*u**2 = 0. Calculate u.
-5, -2, 9
What is q in 158/9*q**2 - 40/9 + 32/9*q + 50/9*q**3 - 10/9*q**5 - 46/9*q**4 = 0?
-5, -1, 2/5, 2
Let i(y) = -y. Suppose -25*m + 17*m - 40 = 0. Let b(u) = u**2 + u - 7. Let l(w) = m*i(w) + b(w). What is f in l(f) = 0?
-7, 1
Let h(c) be the first derivative of -c**6/3060 - 7*c**5/1020 - c**4/34 - 18*c**3 + 115. Let u(n) be the third derivative of h(n). Solve u(a) = 0.
-6, -1
Suppose 0 = 3*l - 7*l, 0 = -5*s + 5*l - 10. Let g be (s/5)/(-3*1/15). Factor -2*b**4 + 2*b - 6*b**3 + 0 + 4 - g*b**2 + 6*b - 2*b.
-2*(b - 1)*(b + 1)**2*(b + 2)
Factor 491 - 480*v - 14 - 4*v**2 - 134 + 538 + 95.
-4*(v - 2)*(v + 122)
Let y(s) be the third derivative of s**8/42 + 79*s**7/105 + 29*s**6/3 + 185*s**5/3 + 500*s**4/3 - 625*s**3/3 - 366*s**2. What is n in y(n) = 0?
-5, 1/4
Let s(l) = 110*l**3 + 1140*l**2 - 4730*l + 3435. Let j(z) = -5*z**3 - 52*z**2 + 215*z - 156. Let g(a) = -45*j(a) - 2*s(a). Determine r so that g(r) = 0.
-15, 1, 2
Let w(v) be the third derivative of v**8/1848 + 4*v**7/1155 - 17*v**6/220 + 47*v**5/165 + 7*v**4/33 - 40*v**3/11 + 1130*v**2. Find q, given that w(q) = 0.
-10, -1, 2, 3
Factor -42733*t**2 + 193*t**4 + 5101*t**2 - 36960*t**3 + 476*t**4 - 3*t**5 + 0*t**5.
-3*t**2*(t - 112)**2*(t + 1)
Let n(c) be the third derivative of c**7/126 - 23*c**6/360 - 2*c**5/9 - c**4/6 + 525*c**2. Find m such that n(m) = 0.
-1, -2/5, 0, 6
Let r(w) = -2546*w**3 + 9338*w**2 + 3049*w + 229. Let y(a) = -509*a**3 + 1868*a**2 + 610*a + 46. Let h(f) = -2*r(f) + 11*y(f). Find v, given that h(v) = 0.
-2/13, 4
Let i = -336852 + 336854. Suppose 8 + 31/2*h - 1/2*h**3 + 7*h**i = 0. What is h?
-1, 16
Let s be 0/2*14/(-98)*7. Suppose s = -u - 6*u. Factor 5/3*p + u + 1/2*p**2 - 1/6*p**3.
-p*(p - 5)*(p + 2)/6
Let d(x) be the first derivative of -4*x**6/33 + 70*x**5/11 - 144*x**4/11 - 518*x**3/33 + 292*x**2/11 + 168*x/11 + 1280. Find m, given that d(m) = 0.
-1, -1/4, 1, 2, 42
Let h = -147579 - -147583. Factor -9/2 - 1/4*y**2 + 7/4*y**3 - 27/4*y - 1/4*y**h.
-(y - 6)*(y - 3)*(y + 1)**2/4
Let q(x) be the second derivative of -x**6/60 - 179*x**5/20 - 32041*x**4/24 + 51*x - 2. Let q(l) = 0. Calculate l.
-179, 0
Let s be (-4190)/(-14) - 52/182. Solve -8*p**2 + 8*p**5 - 20*p**3 - s*p**4 + 307*p**4 + 14*p**3 - 2*p = 0.
-1, -1/2, 0, 1
Suppose 