alculate h.
-1/4, 0, 6/7
Let z(q) be the third derivative of q**5/20 - q**4/6 + q**3/6 + q**2 - 50*q. Let m(x) = -x**2 + 2*x - 1. Let t(h) = m(h) + z(h). Factor t(g).
2*g*(g - 1)
Suppose -2*h + 4*r + 30 = 2*r, -5*h + 4*r = -70. Let f(m) be the first derivative of -2/3*m**3 + 0*m**2 + h + 2*m**4 + 0*m - 6/5*m**5. Factor f(o).
-2*o**2*(o - 1)*(3*o - 1)
Let f(i) be the first derivative of -5*i**3/3 + 75*i**2/2 - 220*i - 1180. Solve f(p) = 0.
4, 11
Let s(c) be the second derivative of 5*c**4/12 + 1050*c**3 + 992250*c**2 - 573*c + 1. Factor s(z).
5*(z + 630)**2
Let f(w) = 4*w**4 + 138*w**3 - 144*w**2 - 263*w + 6. Let q(g) = 20*g**4 + 692*g**3 - 720*g**2 - 1312*g + 32. Let a(s) = -16*f(s) + 3*q(s). Solve a(y) = 0.
-34, -1, 0, 2
Let m(w) = 3*w**3 - 75*w**2 + 9*w - 223. Let d be m(25). Find k such that 136/11*k - 76/11*k**d - 80*k**4 - 16/11 - 22*k**5 - 866/11*k**3 = 0.
-2, -1, 2/11
Suppose b - c - 102 = 457, -b - 4*c = -569. Find w, given that -5*w**3 - b*w**2 + 0*w**3 + 546*w**2 + 5*w**5 + 15*w**4 = 0.
-3, -1, 0, 1
Factor 40/7*h + 2/7*h**2 + 198/7.
2*(h + 9)*(h + 11)/7
Let z = -3/1450 + 187/20300. Let t(c) be the third derivative of 0*c**3 + 1/70*c**5 + 0 + z*c**6 + 18*c**2 + 1/84*c**4 + 1/735*c**7 + 0*c. Factor t(f).
2*f*(f + 1)**3/7
Let t(p) be the first derivative of -p**5/45 - 31*p**4/18 - 92*p**3/3 + 231*p**2 - 363*p + 1179. Find o, given that t(o) = 0.
-33, 1, 3
Suppose -893/2*u**2 - 289/2*u**4 - 231/2*u - 9 - 969/2*u**3 = 0. Calculate u.
-2, -1, -3/17
Let l(u) be the first derivative of -7*u**5/50 + u**4/30 + u**2/2 + 11*u - 65. Let v(p) be the second derivative of l(p). Factor v(o).
-2*o*(21*o - 2)/5
Let k(t) be the third derivative of 0*t + 0 - 1/630*t**5 - 1156/63*t**3 + 17/63*t**4 - 8*t**2. Factor k(p).
-2*(p - 34)**2/21
Let -2/7*t**2 - 170/7 - 44/7*t = 0. What is t?
-17, -5
Let z(j) = 3*j**2 + 2317*j - 6976. Let y be z(3). Factor 3/5 + 4/5*c + 1/5*c**y.
(c + 1)*(c + 3)/5
Let -472*n**3 + 100*n**2 + 952*n**3 - 485*n**3 + 345*n = 0. What is n?
-3, 0, 23
Let u be ((-4)/(-11) - (-3600)/(-17160))/(93/806). Suppose 3*v - 7*v = -24. Factor u*o**3 + v*o**2 + 0 + 8/3*o.
2*o*(o + 4)*(2*o + 1)/3
Let v(k) = 4*k**2 + k. Let t be v(1). Factor -30 + 30*l - 16*l**2 - t + 21*l**2.
5*(l - 1)*(l + 7)
Let b(f) be the first derivative of f**6/12 - f**5/5 + f**4/8 + 3586. Let b(a) = 0. Calculate a.
0, 1
Let u(p) be the second derivative of 3*p**5/20 - 7*p**4/4 - 17*p**3/2 - 27*p**2/2 - 1342*p. Factor u(h).
3*(h - 9)*(h + 1)**2
Let m(a) be the first derivative of -2*a**3/3 - 4*a**2 - 6*a - 3214. Factor m(f).
-2*(f + 1)*(f + 3)
Determine i so that 19/2*i - 1/4*i**2 - 18 = 0.
2, 36
Suppose -2*y - 4*b + 21 = -b, 2*y + 5*b = 31. Let k = 1559 - 1556. Determine a so that 3*a + 25 - 4*a**5 - 26 - 2*a**2 + k*a**5 + 3*a**4 - 2*a**y = 0.
-1, 1
Find r such that 108*r**2 - 49*r**2 - 68*r**2 - 15*r**3 + 3*r**4 + 30 + 39*r = 0.
-1, 2, 5
Let b = 1373 + -238. Find m, given that 168*m + b - 34*m**2 - 3487 + 31*m**2 = 0.
28
Find q, given that 677217746/3 - 12544/3*q**3 - 2913460*q**2 - 2*q**4 - 676246128*q = 0.
-697, 1/3
Let s(k) be the first derivative of -2*k**5/45 - 4*k**4/3 - 170*k**3/27 - 34*k**2/3 - 80*k/9 - 2053. What is n in s(n) = 0?
-20, -2, -1
Let s(j) be the third derivative of -j**7/175 - 276*j**6/25 - 203136*j**5/25 - 12459008*j**4/5 + 188*j**2. Factor s(v).
-6*v*(v + 368)**3/5
Let v(u) be the first derivative of u**4 + 24*u**3 + 120*u**2 - 800*u - 67. Let v(d) = 0. What is d?
-10, 2
Factor 0*q + 0 - 40/9*q**2 + 2*q**3.
2*q**2*(9*q - 20)/9
Let f(r) be the second derivative of 0 - 560*r**3 - 42/5*r**5 + r - 2/15*r**6 - 481/3*r**4 - 800*r**2. Find i such that f(i) = 0.
-20, -1
Let x = -127/9 - -488/45. Let l = x + 1003/105. Find b such that 4/7*b**3 - l*b + 16/7*b**4 - 48/7*b**2 - 8/7 = 0.
-1, -1/4, 2
Let k(y) = 2*y**3 - 27*y**2 - 6*y + 21. Let n be k(14). Suppose -4*f = -n - 7. Factor 25*x + f*x + 2*x**2 - 44*x.
2*x*(x + 8)
Let f be -8*((-18)/4 + 4). Let m be f/(-20)*-5 - -2. Factor 2/5*j**m + 0*j**2 - 2/5*j + 0.
2*j*(j - 1)*(j + 1)/5
Let l = 129 - 121. Factor -14*p + 12 - p**3 + l*p**2 - 5*p + 0*p.
-(p - 4)*(p - 3)*(p - 1)
Let c(l) = -20*l**2 - 1336*l + 1344. Let f(x) = -44*x**2 - 2672*x + 2689. Let y(b) = 9*c(b) - 4*f(b). Factor y(s).
-4*(s - 1)*(s + 335)
Let c(v) = -370*v**2 - 1119*v + 1125. Let n(z) = -53*z**2 + z. Let f(t) = 2*c(t) - 14*n(t). Solve f(x) = 0.
1, 1125
Let k be ((208/(-168))/13)/(48/(-14)). Let o(q) be the second derivative of -1/24*q**4 + 0 + 0*q**5 + 0*q**2 + 1/45*q**6 - 18*q + k*q**3. Factor o(j).
j*(j + 1)*(2*j - 1)**2/6
Let x(q) = q**3 - 11*q**2 - 22*q - 15. Let m be x(13). Factor -22*a**2 + 34*a - 16*a**2 + m*a**2.
-a*(a - 34)
Let b(k) be the second derivative of 2/13*k**3 - 1/78*k**4 + k - 20 - 8/13*k**2. Factor b(u).
-2*(u - 4)*(u - 2)/13
Let c(g) be the second derivative of -g**5/160 - g**4/12 + 7*g**3/12 + 5*g**2 - 1041*g. Find f such that c(f) = 0.
-10, -2, 4
Let b be 9 + -2 - (6 + -5). Suppose 10*d = 34 + b. Suppose -2/5*m**2 - 8/5 - 16/5*m - 2/5*m**5 + 2*m**3 + 2/5*m**d = 0. What is m?
-1, 2
Factor -787/4*u**2 - 911/2*u - 3/4*u**3 - 130.
-(u + 2)*(u + 260)*(3*u + 1)/4
Let o(j) be the second derivative of j**6/25 + 67*j**5/50 + 101*j**4/15 - 196*j**3/5 - 216*j**2/5 - j + 196. Suppose o(h) = 0. What is h?
-18, -6, -1/3, 2
Let n(x) be the first derivative of 3*x**4/4 - 50*x**3 - 156*x**2 + 1073. Find v, given that n(v) = 0.
-2, 0, 52
Suppose -35/3*n - 1/3*n**2 + 506/3 = 0. What is n?
-46, 11
Let y = -48327 + 48330. Suppose -5*z = -0*z. Determine o, given that 1/7*o**4 + z*o + 0*o**2 - 2/7*o**y + 0 = 0.
0, 2
Suppose 366 = 16*x - 34. Determine a so that 17*a - x - 15*a**2 - 43*a + 7*a + 5*a**3 - 26*a = 0.
-1, 5
Let 0 + 2/13*f**3 + 486/13*f - 72/13*f**2 = 0. Calculate f.
0, 9, 27
Let d = 21/38 - -18/19. Let g(s) be the first derivative of 1/3*s**3 - 2/3*s**6 + 9/5*s**5 + 0*s + 2 + 0*s**2 - d*s**4. Factor g(v).
-v**2*(v - 1)**2*(4*v - 1)
Let t be (-142)/(-16) + 42/336. Suppose -2*f - 4*u = -5 + t, -f = 3*u + 4. Find x such that 8/11*x + 0 - 2/11*x**f = 0.
0, 4
Factor 25*f**3 + 221*f - 43*f - 202*f**2 - 23*f**3 + 218*f.
2*f*(f - 99)*(f - 2)
Suppose -2*c + 10 = m, 12*c + 21 = 9*c. Let x(y) be the third derivative of 0 + 0*y + m*y**2 - 1/132*y**4 - 1/330*y**5 + 2/33*y**3. Factor x(s).
-2*(s - 1)*(s + 2)/11
Let c(r) be the third derivative of r**6/180 + 11*r**5/15 - 511*r**4/36 + 3509*r**2. Solve c(f) = 0 for f.
-73, 0, 7
Let k be (1/2)/(3 + (-411)/138). Let g(l) = 2*l - 43. Let s be g(k). Find m, given that -20*m**2 + 30 - 2*m + 5*m**s + 4*m + 3*m = 0.
-1, 2, 3
Let f(k) be the first derivative of 4/3*k**3 + 103 + 3/2*k**4 + 1/6*k**6 + 0*k + 4/5*k**5 + 1/2*k**2. Solve f(q) = 0.
-1, 0
Find y such that 0 - 4/7*y**4 - 48*y**2 - 256/7*y - 12*y**3 = 0.
-16, -4, -1, 0
Let r(h) = 8*h**3 + 64*h**2 - 98*h + 116. Let k(m) = -15*m**3 - 127*m**2 + 211*m - 234. Let q(f) = 6*k(f) + 11*r(f). Factor q(d).
-2*(d - 2)*(d - 1)*(d + 32)
Let p be 1 + 33 + 48/(-6). Let j be 1*9/(-6)*(-13)/p. Factor 3/4*g + j*g**2 + 1/4*g**3 + 1/4.
(g + 1)**3/4
Let l = 470116 + -1410346/3. Solve 2/3 + l*s**4 - 16/3*s**3 + 8/3*s**5 - 4/3*s**2 + 8/3*s = 0.
-1, -1/4, 1
Suppose -3*q = 5*t - 260, 3*q + 2*t = -0*q + 266. Suppose -11*g + q = 7*g. Find o, given that 3*o + g*o - 2*o**5 + 2*o**3 - 6*o**4 + 16*o + 8 + 22*o**2 = 0.
-2, -1, 2
Suppose 124*y = 131*y. Let c(k) be the second derivative of 0*k**2 + y - 14*k + 0*k**3 - 1/35*k**5 - 1/21*k**4. Factor c(l).
-4*l**2*(l + 1)/7
Suppose -4*b - 5*j - 1 = -6, -b - 2 = -2*j. Let y be (4/(-6))/(1555 - 1556). Factor y*h**2 + b - 4/3*h.
2*h*(h - 2)/3
Let a(y) = -y**3 + 1. Let m = 3 - 4. Let x(q) = -141611*q - 9 - 147*q**4 - 159*q**3 + 141611*q - 48*q**2. Let i(d) = m*x(d) - 9*a(d). Solve i(u) = 0 for u.
-4/7, 0
Let j(f) be the first derivative of -196*f**5/5 - 462*f**4 + 368*f**3 - 80*f**2 + 1505. Find t such that j(t) = 0.
-10, 0, 2/7
Suppose 185 = 2*r + 123. Solve -19*z**2 + 4*z**3 + r*z + 139*z + 128 - 42*z + 59*z**2 = 0 for z.
-4, -2
Let 0 + 1/2*p**4 - 411/2*p**3 + 21420*p**2 - 62424*p = 0. What is p?
0, 3, 204
Let i be (7*132/84 + -11)/(-1). Let q(r) be the third derivative of i*r + 7/18*r**5 + r**3 + 0 - 49/540*r**6 + 17*r**2 + 13/12*r**4. Let q(x) = 0. Calculate x.
-3/7, 3
Let q(g) be the first derivative of g**4/36 - 2*g**3/9 + 2*g**2/3