et -644/5*q + 256/5 + 6/5*q**3 - 374/5*q**2 = 0. What is q?
-2, 1/3, 64
Let f(h) be the third derivative of -h**5/150 + 88*h**4/15 - 30976*h**3/15 + 72*h**2 + 2*h. Find u, given that f(u) = 0.
176
Let b be (-35 - -28)*(-246)/7. Let i = b + -1719/7. Find v such that 0*v + 3/7 - i*v**2 = 0.
-1, 1
Let u(s) be the first derivative of 61 + 0*s + 1/8*s**4 + 12*s**3 + 324*s**2. Factor u(j).
j*(j + 36)**2/2
Let j(m) be the first derivative of -80*m**2 + 3200*m + 2/3*m**3 - 154. Let j(x) = 0. Calculate x.
40
Let v(r) be the second derivative of r**5/60 - 5*r**4/6 + 19*r**3/6 - 75*r**2 - 163*r. Let b(n) be the first derivative of v(n). Factor b(y).
(y - 19)*(y - 1)
Factor 3/8*w**3 - 963/8 + 1293/8*w - 333/8*w**2.
3*(w - 107)*(w - 3)*(w - 1)/8
Let k(f) be the second derivative of f**6/75 + 3*f**5/50 - 937*f. Find m such that k(m) = 0.
-3, 0
Suppose 457*s - 42 = -131*s + 1134. Factor 1/6*n**s - 1/6*n**3 + 1/6*n - 1/6*n**4 + 0.
-n*(n - 1)*(n + 1)**2/6
Factor 6196/5*z + 2/5*z**2 + 4798802/5.
2*(z + 1549)**2/5
Let -51*h**4 + 3*h**5 + 219*h**2 + 316*h**3 - 168 + 1806*h - 205*h**3 - 1920*h = 0. Calculate h.
-1, 1, 4, 14
Find b, given that -186/5*b**4 - 6/5*b**3 + 2/5*b**5 + 372/5*b + 0 + 554/5*b**2 = 0.
-1, 0, 2, 93
Let x(f) = 31*f**3 - 330*f**2 + 604*f - 116. Let k(n) = -63*n**3 + 660*n**2 - 1206*n + 231. Let o(i) = 4*k(i) + 9*x(i). Determine y so that o(y) = 0.
2/9, 2, 10
Let v(i) be the third derivative of -i**5/240 - 319*i**4/48 - 101761*i**3/24 + 529*i**2. Let v(s) = 0. What is s?
-319
Suppose 1893 + 951 = 948*a. Factor 4 + 1/4*q**a - 7/4*q**2 + 2*q.
(q - 4)**2*(q + 1)/4
Let m = -8369 + 8369. Let n(y) be the second derivative of 0*y**2 + 0*y**4 + 7/75*y**6 + 1/25*y**5 + 0*y**3 - 43*y + m + 1/35*y**7. Factor n(l).
2*l**3*(l + 2)*(3*l + 1)/5
Let s be 4/98 + ((-2772)/3087)/22. Find i, given that 24/5*i + s + 99/5*i**4 + 36/5*i**2 - 138/5*i**3 - 21/5*i**5 = 0.
-2/7, 0, 1, 2
Let y = 29 - 80. Let q = 63 + y. Let v(t) = -14*t**3 + 18*t**2 + 6*t - 10. Let s(d) = d**3 - d**2 - d + 1. Let i(z) = q*s(z) + v(z). Factor i(w).
-2*(w - 1)**3
Let x be (1 + -1)*2*(-2)/(-16). Suppose -14*s = -15*s. Factor -1/8*c**3 - 3/8*c**5 + 1/8*c**2 - 5/8*c**4 + x*c + s.
-c**2*(c + 1)**2*(3*c - 1)/8
Factor -400 - 17*q**3 + 0*q**3 + 380*q + 52623*q**2 + q**4 - 52587*q**2.
(q - 10)**2*(q - 1)*(q + 4)
Let a = -3769/2 - -37693/20. Let g(y) be the first derivative of -6/5*y - a*y**4 + 18 - 3/2*y**2 - 4/5*y**3. Factor g(i).
-3*(i + 1)**2*(i + 2)/5
Suppose -52*a + 906 = 542. Let u(h) be the second derivative of -21*h - 4/15*h**6 + 0 + 2/3*h**4 + 0*h**2 + 4/3*h**3 - 1/21*h**a - 3/10*h**5. Solve u(r) = 0.
-2, -1, 0, 1
Suppose 4*h + m = 21 + 1, 4*h = m + 26. Let i(k) be the third derivative of 0*k + 1/30*k**h - 37*k**2 - 4*k**3 - 7/6*k**4 + 0*k**5 + 0. Solve i(u) = 0.
-2, -1, 3
Let c = -316 - -322. Suppose 3*k = r + 5, 0 = 4*k - 5*r + c - 9. Find a, given that 2/11*a**k + 0 + 0*a + 0*a**3 - 2/11*a**4 = 0.
-1, 0, 1
Let a be (1412068/1450)/(-94) + 10 + 1. Find y such that -a*y**2 + 2/25*y**3 + 0 + 14/25*y = 0.
0, 1, 7
Let t(y) be the first derivative of -3*y**4/4 + 33*y**3 + 105*y**2 + 1077. Determine k so that t(k) = 0.
-2, 0, 35
Let u = 308/193 + 8274/3281. Determine m so that -574/17*m**3 - 2/17*m**5 + u*m**4 + 648/17 - 718/17*m**2 + 576/17*m = 0.
-1, 1, 18
Let m(v) = 3*v**2 - 11*v. Let z be m(4). Let x = -507 - -1015/2. Factor -5/2*y + 3/2*y**5 + x + y**3 - 7/2*y**z + 3*y**2.
(y - 1)**3*(y + 1)*(3*y - 1)/2
Let p(k) be the first derivative of 17*k**3/15 + 484*k**2/5 - 57*k/5 - 7570. Find w, given that p(w) = 0.
-57, 1/17
Let s be 85/51 - 7/168*38. Let z(t) be the second derivative of 0 + 2*t**2 - 3/40*t**5 - 12*t - s*t**4 + t**3. Factor z(p).
-(p - 2)*(p + 2)*(3*p + 2)/2
Let r = -29 + 32. Let m be (r/2)/(21/28). Suppose -20*g - 50 + 66 + 2*g**2 + 0*g**2 + m*g**2 = 0. What is g?
1, 4
Let u(v) = -17*v**2 + 172*v + 116. Let y(n) = -80*n**2 + 69*n**2 - 58*n + 46*n**2 - 287*n - 230. Let t(k) = 5*u(k) + 2*y(k). Let t(c) = 0. What is c?
-2/3, 12
Let o(s) = -16*s**4 - 48*s**3 + 16*s**2 + 18*s. Let c(l) = -l**4 - 3*l**3 + l**2 + l. Let i(n) = -60*c(n) + 4*o(n). Factor i(k).
-4*k*(k - 1)*(k + 1)*(k + 3)
Let 362*v + 716 + 7641*v**2 - 15296*v**2 + 7657*v**2 = 0. Calculate v.
-179, -2
Let n = -1986 + 2002. Let t be n/(-3) + 6 + -7 + 7. Suppose 0 + 0*v + 1/3*v**3 + t*v**2 - 8/3*v**4 + 5/3*v**5 = 0. What is v?
-2/5, 0, 1
Let j = -10343 + 10347. Let h(x) be the first derivative of 1/6*x**j + 8/3*x - 4/3*x**2 + 8 - 2/9*x**3. Solve h(g) = 0.
-2, 1, 2
Let k be 174/(-145)*(5/(-90) - ((-9)/(-6) - 1)). Factor -4/3*x**3 + k*x**2 + 0 + 4/3*x - 2/3*x**4.
-2*x*(x - 1)*(x + 1)*(x + 2)/3
Let l(n) = 5*n**4 + 205*n**3 - 620*n**2 + 435*n - 5. Let r(z) = 5*z**4 + 205*z**3 - 614*z**2 + 434*z - 6. Let p(j) = 6*l(j) - 5*r(j). Find d such that p(d) = 0.
-44, 0, 1, 2
Solve -37*y + 42 - 3*y**5 + 30*y**3 + 11*y**4 - 1483*y**2 + 10*y + 1423*y**2 + 7*y**4 = 0 for y.
-2, -1, 1, 7
Let m(k) be the second derivative of -2/3*k**3 + 0 - 1/5*k**5 + 29*k + 4/3*k**4 - 12*k**2. Factor m(s).
-4*(s - 3)*(s - 2)*(s + 1)
Let n = -12064/3 + 120641/30. Let l(y) be the first derivative of -1/3*y**2 + 8/45*y**3 + 0*y - 16 + n*y**4. Factor l(i).
2*i*(i - 1)*(i + 5)/15
Factor -3/4*b**3 - 147*b**2 + 1785/4*b - 597/2.
-3*(b - 2)*(b - 1)*(b + 199)/4
Let y = 2/1661 - 6872/2948275. Let u = 1757/15975 - y. Factor -u*f**3 - 10/9*f**2 - 8/9 - 17/9*f.
-(f + 1)**2*(f + 8)/9
Let t(l) = -16*l + 35. Let h be t(2). Suppose d**3 + h*d + 806 - 3*d**2 - 400 - 407 = 0. What is d?
1
Let t = -3586 + 5391. Let z = t - 1801. Factor 0 - 5/2*x**3 + 5/2*x - 5/4*x**z + 5/4*x**2.
-5*x*(x - 1)*(x + 1)*(x + 2)/4
Let l(t) = t**3 + t**2 + t - 1. Let o(d) = 2*d**3 - 614*d**2 - 94860*d + 95478. Let a(f) = -3*l(f) + o(f). Factor a(c).
-(c - 1)*(c + 309)**2
Let k(w) = 2*w**2 + 10*w - 2. Suppose 23*b = 27 - 188. Let m(z) = -z**2 - 5*z + 2. Let h(p) = b*m(p) - 4*k(p). Solve h(r) = 0.
-3, -2
Let l = 1215 - 1215. Let o(k) be the second derivative of l*k**3 + 0 + 16*k + 0*k**2 + 0*k**4 + 1/150*k**6 + 3/100*k**5. Factor o(t).
t**3*(t + 3)/5
Let t = -233 - -238. Let o(y) = -2*y**2 + 2*y + 1. Let w(a) = 6*a**2 + 10*a - 21. Let z(j) = t*o(j) + w(j). Solve z(d) = 0.
1, 4
Find l such that -8/5*l**2 + 6/5*l**4 + 0 + 0*l - 2/5*l**5 + 0*l**3 = 0.
-1, 0, 2
Let 8/3*u**2 + 112/3 - 121/3*u + 1/3*u**3 = 0. What is u?
-16, 1, 7
Solve 837*i**4 - i**5 - 290*i**4 + 42*i - 9*i**3 - 284*i**4 + 29*i**2 + 12*i**2 - 272*i**4 = 0.
-7, -3, -1, 0, 2
Let p(s) be the third derivative of 0*s + 0 + 1/240*s**6 - 1/60*s**5 + 102*s**2 + 0*s**3 + 1/48*s**4. What is o in p(o) = 0?
0, 1
Let f(u) be the third derivative of 0*u + 0*u**3 - 1/12*u**4 + 1/140*u**7 + 0 - 54*u**2 - 1/672*u**8 - 1/40*u**5 + 1/48*u**6. Solve f(p) = 0 for p.
-1, 0, 1, 4
Let a(w) = -w**2 - 14*w - 24. Let h be a(-12). Suppose 0 = -h*j - 2*j + 24. Factor -6*l**3 - 6*l**4 - 4*l + l**3 - j*l**2 - l**5 - 8*l**3.
-l*(l + 1)**2*(l + 2)**2
Let d(s) be the second derivative of -s**6/90 + 89*s**5/24 - 385*s**4/18 + 1535*s**3/36 - 73*s**2/2 + 2476*s. Let d(h) = 0. What is h?
1/2, 1, 2, 219
Let v(m) be the first derivative of 10*m**2 - 2*m**3 - 114 + 0*m - 1/2*m**4. Factor v(b).
-2*b*(b - 2)*(b + 5)
Suppose 0 = 131*u - 111*u - 60. Suppose -3*q - 43 = -u*o - 31, 4*q = -3*o + 12. Factor -1/4*x**5 - 1/4*x - 3/2*x**3 - x**2 + 0 - x**o.
-x*(x + 1)**4/4
Let 0*c**4 - 8/3*c - 6*c**2 + 1/3*c**5 - 11/3*c**3 + 0 = 0. What is c?
-2, -1, 0, 4
Let -144/5*w**5 + 64/5*w - 1292/5*w**4 - 1108/5*w**3 + 0 + 104/5*w**2 = 0. Calculate w.
-8, -1, -2/9, 0, 1/4
Let f(y) be the second derivative of 0 - 62*y + 1/54*y**4 + 64/9*y**2 + 16/27*y**3. Let f(w) = 0. Calculate w.
-8
Let f(g) be the first derivative of 2*g**6/3 - 1132*g**5/5 + 843*g**4 - 3364*g**3/3 + 560*g**2 + 4546. Factor f(k).
4*k*(k - 280)*(k - 1)**3
Let 3/4*t**3 + 310086*t - 3855/4*t**2 - 309123 = 0. Calculate t.
1, 642
Let b be 51/9 - (-4)/(-6). Let j(p) = -p**2 - 5*p + 106. Let v be j(8). Factor -8*x**4 + 7*x - 2*x**3 - 248*x**b + 6*x**2 + 245*x**5 + v - 2*x**3.
-(x - 1)*(x + 1)**3*(3*x + 2)
Let c = 7621483/26 + -1465616/5. Let a = c - 136/13. Solve 1/5*t - 1/10*t**5 - 1/10*t**3 + 0 - 3/10*t**2 + a*t**4 = 0.
-1, 0, 1, 2
What is q in 780*q**2 + 86*q**4 + 27*q**5 + 75*q + 43*q**4 + 110*q**4 + 61*q**4 + 978*q**3 = 0?
-5, -1, -