+ 44*x**3 - 114*x**2 + 624*x = 0 for x.
0, 3, 19
Let x = 413933/14 + -29701. Let f = x + 271/2. What is y in -f + 4/7*y**2 - 4/7*y = 0?
-1, 2
Let c = 30 - -1. Let d = -29 + c. Factor 3*i + 6 - 4*i**2 - 5*i**d + 3 - 3*i**3.
-3*(i - 1)*(i + 1)*(i + 3)
Let s(d) be the third derivative of 3*d**7/350 - 61*d**6/200 - 5*d**5/12 - 7*d**4/40 + 5667*d**2. Find n such that s(n) = 0.
-1/3, 0, 21
Let f(h) = 3*h + 35. Let d = 26 + -37. Let t be f(d). Factor 0*g**2 - g**t + 8*g + g**2 + 2*g**2.
2*g*(g + 4)
Let j(y) be the first derivative of -9/2*y**2 + 12*y + 241 - y**3. What is a in j(a) = 0?
-4, 1
Let n be 8 + -4 - 274 - (-1 + 6). Let y = -821/3 - n. Factor 1/6*d**2 + 8/3 - y*d.
(d - 4)**2/6
Let z = 132542/15 + -8836. Let v(d) be the first derivative of -32 + z*d**3 + 8/5*d - 4/5*d**2. Factor v(s).
2*(s - 2)**2/5
Let b(t) be the third derivative of -t**6/60 - 73*t**5/3 + 733*t**4/3 - 2936*t**3/3 + 1771*t**2. Let b(u) = 0. Calculate u.
-734, 2
Let q = -10 + 12. Let w be 15/14 + (-8 - 19/(-2)). Suppose 2*k**5 - 18/7*k**q + w*k**4 - 4/7*k - 10/7*k**3 + 0 = 0. What is k?
-1, -2/7, 0, 1
Let c be 2 - ((-19)/4 + (-22)/88). Suppose -4*b - c*b + 22 = 0. Find s, given that -4/5 - 1/5*s**b + 4/5*s = 0.
2
Let o = -343/110 + 542/165. Let j(w) be the second derivative of 0 + o*w**3 - w**2 + 1/12*w**4 - 33*w. Suppose j(k) = 0. Calculate k.
-2, 1
Let a be (-6)/12*-390 - 8. Suppose 5*b - 212 = -a. Suppose 9/2 + 1/2*p**2 - b*p = 0. What is p?
1, 9
Let y(f) = -f**4 - 19*f**3 - 13*f**2 + 5*f + 11. Let q(s) = s**3 - s - 1. Let x(b) = -22*q(b) - 2*y(b). Suppose x(k) = 0. Calculate k.
-6, -1, 0
Let r(j) be the first derivative of 75/2*j**3 + 125*j**2 - 3*j + 37 + 1/4*j**5 + 5*j**4. Let k(v) be the first derivative of r(v). Find a, given that k(a) = 0.
-5, -2
Suppose 4*i + 5*t - 38 = i, 16 = 4*t. Let s(v) = v**2 + 24*v + 15. Let x(k) = -k**2 - 28*k - 15. Let y(j) = i*s(j) + 4*x(j). Factor y(c).
2*(c + 1)*(c + 15)
Let n = 226 + -223. Let v(s) be the third derivative of -11*s**2 + 3/11*s**n + 0*s + 1/22*s**4 + 1/330*s**5 + 0. Factor v(f).
2*(f + 3)**2/11
Let f = -1825/92 + 484307/1012. Factor -348/11*g + f + 6/11*g**2.
6*(g - 29)**2/11
Let o(d) be the second derivative of -d**4/12 + 17*d**3 - 196*d**2 - 1493*d. Factor o(r).
-(r - 98)*(r - 4)
Suppose -17*d + 1645388 + 1872439 = 0. Factor -d + 30074*f - 177360 - 711*f**2 + 86959 + 3*f**3 + 26095*f - 1181785.
3*(f - 79)**3
Let 32/21*y**2 - 16/21*y**4 - 16/21 - 2/21*y + 4/21*y**3 - 2/21*y**5 = 0. What is y?
-8, -1, 1
Let k = -169 - -160. Let f be -3 + (k/6 - 258/(-20)). Factor -34/5*n**3 - 2*n**4 - f*n**2 - 22/5*n - 4/5.
-2*(n + 1)**3*(5*n + 2)/5
Determine q, given that 31/2*q**2 - 7*q**5 - 4 + 55/2*q - 149/2*q**3 - 131/2*q**4 = 0.
-8, -1, 1/7, 1/2
Let q = -99 + 99. Let d be 1 - -8 - (-3 - -9 - q). Find b such that -8/13 + 14/13*b**d + 38/13*b**2 + 16/13*b = 0.
-2, -1, 2/7
Let c(x) be the first derivative of -6*x**5/25 + 297*x**4/10 + 608*x**3/5 + 612*x**2/5 + 10941. Find g such that c(g) = 0.
-2, -1, 0, 102
Let l(q) = -139*q - 6094. Let m be l(-44). Let k(s) be the first derivative of 9/8*s**4 - 3*s - 9/4*s**2 + 3/10*s**5 + m + 1/2*s**3. Factor k(y).
3*(y - 1)*(y + 1)**2*(y + 2)/2
Let p = 48 + -38. Suppose 3*y - 37 + p = 0. Let y*k**2 + 0*k**2 + 5*k - 4*k**2 = 0. What is k?
-1, 0
Let f be (71 + -62 - (-71)/(-21)) + 1*(-50)/15. Factor -60/7*z**2 - 50/7*z**3 + 72/7*z - f.
-2*(z + 2)*(5*z - 2)**2/7
Let t = -3250 - -9754/3. Let y(x) be the second derivative of 11*x + 1/3*x**4 + t*x**3 + 2*x**2 + 0. Factor y(z).
4*(z + 1)**2
Let x = 26 - 23. Suppose -4*k - x*p + 11 = 0, -p + 11 = 5*k - 0*p. Factor 6*w**2 - 20 - 2*w**k + 0*w**2 + w**2.
5*(w - 2)*(w + 2)
Determine a so that 83*a**2 + 6*a**4 + 13*a**4 + 85*a**3 + 31 - 21*a**4 - 85*a + 3*a**4 - 115 = 0.
-84, -1, 1
Factor 7688 + 2/9*g**3 - 364/9*g**2 + 5270/3*g.
2*(g - 93)**2*(g + 4)/9
Suppose 22*m + 39 = 633. Let x(o) = -o**2 + 50*o - 621. Let n be x(m). Factor n + 2/7*f**3 + 8/7*f + 10/7*f**2.
2*f*(f + 1)*(f + 4)/7
Let m be 24/7 + 21/(-49). Factor -52*a**2 + 120*a + 450 + 358*a**m + 3*a**4 - a**4 - 366*a**3.
2*(a - 5)**2*(a + 3)**2
Suppose -139*x + 138*x = -5. Factor -175*h**2 + 205*h**2 + 23 + 55*h + x*h**3 + 7.
5*(h + 1)*(h + 2)*(h + 3)
Let n(d) = 37*d**3 + 317*d**2 + 997*d + 668. Let o(j) = 25*j**3 + 211*j**2 + 665*j + 444. Let u(z) = 5*n(z) - 7*o(z). Factor u(r).
2*(r + 1)*(r + 4)*(5*r + 29)
Let a = -78978 + 78983. Factor 0 + 0*o + 2/3*o**a + 10*o**3 - 6*o**2 - 14/3*o**4.
2*o**2*(o - 3)**2*(o - 1)/3
Let f = 182485 + -729939/4. Determine v, given that -1/4*v - 3 + f*v**2 = 0.
-3, 4
Factor 32332*o - 65608*o - 53*o**3 - 28*o**3 + 4212*o**2 - 39732*o + 421824.
-3*(3*o - 52)**3
Solve 41*u**2 + 56 + 2*u**3 + 79 + 69*u**2 - 28 + 7 - 226*u = 0.
-57, 1
Factor -38 + 6*s**2 + 2/5*s**3 - 162/5*s.
2*(s - 5)*(s + 1)*(s + 19)/5
Let v = 198651 + -198651. Factor v + 5/2*c**2 + 5/6*c**3 + 5/3*c.
5*c*(c + 1)*(c + 2)/6
Factor 4714/5*q - 628/5 - 6*q**2.
-2*(q - 157)*(15*q - 2)/5
Let m(i) = -i**2 - 7*i + 13. Let h be m(-9). Let r be -2*(h/(-10) + -2). Factor 2*b**4 + 8*b + 2*b**4 + 8 - 10*b + 6*b - 12*b**2 - 4*b**r.
4*(b - 2)*(b - 1)*(b + 1)**2
Let g = -2649920/11 + 240716. Let u = g + 186. Solve 2/11*k**2 - 4/11*k + u = 0 for k.
1
Let u(p) be the second derivative of -p**5/20 - 2*p**4/3 + p**3/6 + 4*p**2 - 850*p. What is w in u(w) = 0?
-8, -1, 1
Let t be (3 + 301/39)/((-32)/(-6)). Let g = 31/13 - t. Determine k so that g*k**2 + 3/8*k**3 - 3/8*k**4 - 3/8*k**5 + 0 + 0*k = 0.
-1, 0, 1
Find d, given that -23/2*d**2 - 1/2*d**3 + 44*d + 130 = 0.
-26, -2, 5
Let s = 162 - 171. Let b be -10*(10/(-9) + (-8 - s)). Factor -b + 4/3*l - 2/9*l**2.
-2*(l - 5)*(l - 1)/9
Let b(n) be the third derivative of -n**5/210 + 2279*n**4/42 - 5193841*n**3/21 + 11*n**2 - 456*n. Factor b(m).
-2*(m - 2279)**2/7
Let w = -317 + 320. Factor 277*x**2 - 149*x**2 + 10*x + 24 + 2*x**w - 140*x**2.
2*(x - 4)*(x - 3)*(x + 1)
Let g(f) be the second derivative of f**6/45 - 148*f**5/15 - 1505*f**4/18 + 524*f. Solve g(z) = 0.
-5, 0, 301
Let y(n) be the first derivative of n**4/54 + 11*n**3/27 - 4*n**2/3 + 110*n + 113. Let l(c) be the first derivative of y(c). Suppose l(k) = 0. Calculate k.
-12, 1
Find q, given that -2630272*q**2 - 4585*q + 1433 + 397 + 2630297*q**2 = 0.
2/5, 183
Let y be 112/(-30)*(-1968)/4592. Factor -44/5*f - y*f**3 - 18/5 - 34/5*f**2.
-2*(f + 1)**2*(4*f + 9)/5
Let i(j) be the third derivative of -1/5*j**5 + 0 + 0*j + 1/90*j**6 - 8/3*j**3 - 27*j**2 + 10/9*j**4. Factor i(a).
4*(a - 6)*(a - 2)*(a - 1)/3
Let a be (-2)/(4/14)*18*(-312)/7722. Factor -392/11 - 2/11*u**2 - a*u.
-2*(u + 14)**2/11
Let b(u) be the first derivative of -u**6/75 + 2*u**5/25 - 23*u - 68. Let m(o) be the first derivative of b(o). Find v such that m(v) = 0.
0, 4
Suppose -2*r + 21 = -3*t - 2*t, 5*t = -5*r. Let i be t - ((-2)/(-3))/(20/(-150)). Factor 2/13*h**5 + 0 + 0*h**i + 0*h - 8/13*h**4 + 8/13*h**3.
2*h**3*(h - 2)**2/13
Factor 547/2*c - 1095/2*c**2 + 0 + c**3.
c*(c - 547)*(2*c - 1)/2
Suppose l - 5 = 4*u, 2*u = l + 3*u - 5. Suppose -l*w = -5*n - 9 - 21, 3*n + 4 = -4*w. Factor -4*a - 21*a**3 + 8 - a + 9*a**3 - 23*a + 32*a**w.
-4*(a - 1)**2*(3*a - 2)
Solve -136/21 + 794/21*l**2 + 1352/21*l + 2*l**3 = 0 for l.
-17, -2, 2/21
Let k(w) be the first derivative of 16*w**3 + 0*w - 121 + 2/3*w**6 - 8*w**4 - 4/5*w**5 + 0*w**2. Suppose k(o) = 0. Calculate o.
-3, 0, 2
Suppose 2*m - 4*h = 148 - 164, -3*m - 9 = -3*h. Find y, given that 4/11*y - 6/11*y**3 + 2/11*y**5 + 2/11*y**m - 2/11*y**4 + 0 = 0.
-1, 0, 1, 2
Suppose x + 39 = -o, 95 = -o + 2*x + 56. Let y(b) = 4*b**2 + 158*b + 80. Let v be y(o). Factor 0 + 0*n - n**v - 1/4*n**3.
-n**2*(n + 4)/4
Let a(v) = -1. Let f be (4/(-2))/(65/(-15) - -5). Let r(i) = -i**2 - 12*i - 37. Let t(y) = f*r(y) + 3*a(y). Find c, given that t(c) = 0.
-6
Let w = -337 - -342. Let -4*o**4 + o**5 - 14*o + 3*o**5 - 4*o**3 + 20*o**2 + 4 - 7*o**5 + w*o**5 - 4*o**2 = 0. Calculate o.
-2, 1
Let p(i) be the second derivative of i**5/30 + i**4 + 12*i**3 + 49*i**2 + 73*i. Let h(j) be the first derivative of p(j). Factor h(c).
2*(c + 6)**2
Let d = 12/313 - -915/626. Let p(i) be the first derivative of -25 + 0*i - 3/4*i**4 - i**3 + d*i**2 + 3/5*i**5. Suppose p(a) = 0. Calculate a.
-1, 0, 1
Solve 2/5*p + 1/5*p**4 - 2/5*p**3 + 0 - 1/5*p**2 = 0 for p.
-1, 0, 1, 