(s) = 0.
0, 1, 2
Let i(t) be the second derivative of t**5/4 - 15*t**4 + 205*t**3/2 + 400*t**2 - 6350*t. Find s, given that i(s) = 0.
-1, 5, 32
Let c(j) = -j**4 + j**3. Let d(t) be the first derivative of -3*t**5/5 + 2*t**4 + 35*t**3/3 + 10*t**2 - 21. Let p(u) = 2*c(u) + d(u). Factor p(l).
-5*l*(l - 4)*(l + 1)**2
Let h(g) be the third derivative of 75*g + g**6 - 5/12*g**5 + 2*g**2 + 0 - 5/14*g**7 + 0*g**4 - 5/84*g**8 + 0*g**3. Solve h(q) = 0 for q.
-5, 0, 1/4, 1
Suppose -1 + 23 = 11*x. Find r, given that 97*r**2 + 18 + 10 - 15*r - 95*r**x - 3*r = 0.
2, 7
Let r(o) = -o**3 - 49*o**2 + 47*o - 146. Let a be r(-50). Suppose -5*d + 9*f + 10 = 6*f, 3*d - 6 = a*f. Factor 4/13*i**3 + 2/13*i**4 + 0*i + 0 + 2/13*i**d.
2*i**2*(i + 1)**2/13
Find b, given that 22*b**3 - 3*b**2 - 2688*b + 54 + 2850*b - 123*b**2 = 0.
-3/11, 3
Solve 3206 + 139*a - 76*a**2 - a**3 - 3092 - 2*a**3 + 26*a**2 = 0.
-19, -2/3, 3
Let g(x) be the third derivative of 25*x**2 + 1/84*x**6 - 1/735*x**7 - 1/35*x**5 + x + 8/21*x**3 + 0 - 1/21*x**4. Let g(p) = 0. Calculate p.
-1, 2
Let i(v) be the first derivative of v**7/1260 + v**6/60 + 3*v**5/20 + 3*v**4/4 - 6*v**3 + 10. Let u(b) be the third derivative of i(b). Solve u(m) = 0.
-3
Suppose 77 = -4*j - 3*j. Let m(a) = -3*a**4 - 2*a**3 - 11*a**2 - a. Let x(y) = -y**4 - y**3 - 4*y**2. Let w(c) = j*x(c) + 4*m(c). Find h, given that w(h) = 0.
-1, 0, 2
Let q(p) = -p**3 - 52*p**2 - 231*p + 191. Let c be q(-47). Factor 6750/11 + 2/11*r**c + 1350/11*r + 90/11*r**2.
2*(r + 15)**3/11
Let r = 267384 + -2406416/9. Let -4/9 + 46/9*k**2 - r*k**3 - 2/9*k = 0. Calculate k.
-1/4, 2/5, 1
Let j(n) be the first derivative of -3*n**2 - 99 - 13/2*n + 1/6*n**3. What is p in j(p) = 0?
-1, 13
Let u = -52 + 59. Let d = -3 + u. Find v such that 3*v**4 - 4*v**2 + 8*v**4 - 3*v**4 - 4*v**d + 4*v**3 - 4*v**5 = 0.
-1, 0, 1
What is o in 7*o**3 - 17*o**2 - 16*o**4 + 17 - 6*o**4 - 23 - 4*o + 21*o + 21*o**4 = 0?
1, 2, 3
Suppose -24*f + 174 = -21*f. Solve 25*o**2 - 3 + f - 30*o**2 - 50*o = 0.
-11, 1
Let w(m) be the second derivative of -m**7/231 - 2*m**6/55 - 4*m**5/55 - 10*m - 14. Factor w(q).
-2*q**3*(q + 2)*(q + 4)/11
Let i = 413 + -410. Solve -s**4 + s**2 + s**3 + 5*s - 9*s**3 + 4*s + 2*s**i - 3*s = 0.
-6, -1, 0, 1
Let t(c) = -9*c**4 - 14*c**3 + 173*c**2 + 1500*c + 1273. Let a(v) = -5*v**4 - 7*v**3 + 86*v**2 + 752*v + 636. Let h(w) = -7*a(w) + 4*t(w). Factor h(p).
-(p - 10)*(p + 1)*(p + 8)**2
Let n(c) be the third derivative of -c**6/600 - 2*c**5/25 + 79*c**4/120 - 9*c**3/5 - 150*c**2. Factor n(i).
-(i - 2)*(i - 1)*(i + 27)/5
Let u be 4047/1444 - (-2 + 27/12). Let k = 18/19 + u. Let -5/2*a**4 + k*a - 7/2*a**3 + 3/2*a**2 + 1 = 0. What is a?
-1, -2/5, 1
Let x(n) be the second derivative of -n**4/3 - 52*n**3/3 - 289*n. Determine v so that x(v) = 0.
-26, 0
Let s(v) = -1264*v + 3. Let a be s(1). Let h = a - -13877/11. Suppose 2/11*f**2 + h*f + 4/11 = 0. What is f?
-2, -1
Suppose 3*w + 5*d + 31 = 0, -7436*w + 7438*w = 3*d + 30. Let r = 38/5 - 332/45. Factor -r*y**w + 16/9 + 4/3*y**2 - 8/3*y.
-2*(y - 2)**3/9
Let h(o) = 12*o**3 - 33*o**2 - 69*o - 5. Let t(i) = 6*i**3 - 17*i**2 - 39*i - 3. Let r(w) = 3*h(w) - 5*t(w). Factor r(m).
2*m*(m - 3)*(3*m + 2)
Let i = 370525 - 370522. Factor 108/7 - 54/7*y - 6/7*y**4 - 18*y**2 - 50/7*y**i.
-2*(y + 3)**3*(3*y - 2)/7
Let z(w) be the first derivative of 5*w**4/4 - 390*w**3 - 3545*w**2/2 - 2370*w + 9358. Factor z(p).
5*(p - 237)*(p + 1)*(p + 2)
Let l be (-3 - -8) + (-288)/45 + (-405)/(-75). Factor 1/4*c**2 - 5/2*c + l.
(c - 8)*(c - 2)/4
Factor 1440 - 4*k**2 - 3009 + 17*k + 1449 + 27*k.
-4*(k - 6)*(k - 5)
Let v = -74433 - -74436. Factor 0*u**2 + 0*u - 3/7*u**4 + 3/7*u**v + 0.
-3*u**3*(u - 1)/7
Let d(a) = -25*a**3 - 88*a**2 + 217*a - 119. Let b(x) = -18*x**3 - 89*x**2 + 218*x - 121. Let i(c) = 3*b(c) - 2*d(c). Factor i(o).
-(o - 1)*(o + 25)*(4*o - 5)
Suppose -4*b + 28 = -4*v, 3558*b = 3561*b - 30. Determine a so that 0 - 4/3*a**v + 2/3*a**4 + 0*a + 2/3*a**2 = 0.
0, 1
Let c = 535005/7 - 76846. Let r = -415 - c. Factor -15/7*f**3 + 9/7*f**2 + 15/7*f + 3/7*f**4 - r.
3*(f - 4)*(f - 1)**2*(f + 1)/7
Factor 232/15*m - 150 + 2/15*m**2.
2*(m - 9)*(m + 125)/15
Let a(r) be the first derivative of -4 + 20/3*r + 7/3*r**2 + 2/9*r**3. Find h, given that a(h) = 0.
-5, -2
Factor 29*q**3 + 0 - 579/2*q**2 - 5*q.
q*(q - 10)*(58*q + 1)/2
Factor -690*x - 221*x - 4*x**3 - 405*x + 448*x**2 + 872.
-4*(x - 109)*(x - 2)*(x - 1)
Let y(m) be the second derivative of -m**6/540 - 7*m**2/2 + 2*m + 8. Let n(u) be the first derivative of y(u). Determine f so that n(f) = 0.
0
Solve -2*x + 63/2*x**4 + 101*x**2 - 255/2*x**3 - 12 = 0.
-2/7, 2/3, 3
Solve 22/3*r + 6 + 10/9*r**2 - 2/9*r**3 = 0.
-3, -1, 9
Let f = -925 - -920. Let p be f*(266/35 + -8). Factor 8/3 - 2*l - 2/3*l**p.
-2*(l - 1)*(l + 4)/3
Find j, given that -12*j**3 - 7*j**3 + 1252*j + 4*j**3 + 27*j**3 - 16*j**3 - 628 - 620*j**2 = 0.
-157, 1
Let g(f) be the second derivative of -5*f**7/42 + 3*f**6 + 19*f**5/4 - 230*f + 2. Let g(w) = 0. Calculate w.
-1, 0, 19
Let n = -67/7 - -905/77. Find j, given that -2/11*j**2 + 26/11*j - n = 0.
1, 12
Let l(h) = -h**2 + 564*h + 26510. Let d(w) = -12*w**2 + 5640*w + 265101. Let v(q) = -2*d(q) + 21*l(q). Suppose v(y) = 0. Calculate y.
-94
Suppose 193*v - 1485 = -302*v. Suppose 1/3*m**5 + 0 + 5/3*m**4 - v*m**2 + m**3 + 0*m = 0. What is m?
-3, 0, 1
Let p(q) be the first derivative of 189/2*q**2 - 4*q**3 + 48*q + 8. Factor p(g).
-3*(g - 16)*(4*g + 1)
Suppose -1/2*v**4 + 451/2*v**3 - 452*v + 227*v**2 + 0 = 0. Calculate v.
-2, 0, 1, 452
Let p(v) = 182*v**2 + 488*v - 29. Let b(i) = -89*i**2 - 244*i + 11. Let z(m) = -5*b(m) - 2*p(m). Determine f, given that z(f) = 0.
-3, -1/81
Let s(a) = -2587*a**2 + 305*a - 43. Let i(g) = -5173*g**2 + 611*g - 93. Let t(u) = -5*i(u) + 11*s(u). Factor t(c).
-4*(24*c - 1)*(27*c - 2)
Let f(g) be the second derivative of -g**5/40 - 13*g**4/24 + 5*g**3/3 + 21*g**2 - 1281*g. What is t in f(t) = 0?
-14, -2, 3
Suppose -5*z + 66 + 24 = 0. Let y(p) = 6*p - 96. Let k be y(18). Determine v, given that v**5 + 12*v**4 + k*v**3 - 14*v**2 - v**5 + 4*v**5 + z*v**2 = 0.
-1, 0
Let g be (40/30 - 15/(-9))*1. Solve 0*c + 8/3*c**2 + 0 + 2/3*c**g = 0 for c.
-4, 0
Suppose 5*s - 5*l = 7*s - 739, 0 = 2*s + 3*l - 745. Suppose -462 = -17*i - s. Solve -1/6*u**4 - 1/12*u**i + 1/12*u**3 + 0 + 0*u + 1/6*u**2 = 0.
-2, -1, 0, 1
Let w(d) be the first derivative of 15*d**6/2 + 1023*d**5 + 34820*d**4 - 343960*d**3/3 + 133400*d**2 - 67280*d - 3609. Suppose w(l) = 0. Calculate l.
-58, 2/3, 1
Let g(u) = u**2 - 42*u + 37. Let l be g(9). Let k = l + 2342/9. Solve 0 + 0*t - k*t**4 - 4/9*t**2 - 2/3*t**3 = 0.
-2, -1, 0
Let q(g) = 5*g**2 + 64*g + 75. Let p(d) = -260*d + 47*d**2 + 25 - 168*d**2 + 51*d**2 - 325 + 50*d**2. Let z(c) = 6*p(c) + 25*q(c). Factor z(h).
5*(h + 3)*(h + 5)
Let d = 42417/11 - 212063/55. Find k such that -6/5*k + 8/5 - d*k**2 = 0.
-4, 1
Let f(q) be the second derivative of q**4/96 + 53*q**3/48 - 2188*q. Suppose f(w) = 0. What is w?
-53, 0
Let n be (-6)/(-15)*-7 + (52 - (-38148)/(-990)). Factor 2/3*u**2 - n + 0*u.
2*(u - 4)*(u + 4)/3
Let m(r) be the third derivative of -16/3*r**3 - 148*r**2 + 1/2*r**4 + 0 + 0*r - 1/60*r**5. Factor m(j).
-(j - 8)*(j - 4)
Suppose -2*v = -2*r - 2*r - 6, 2*v + 4*r - 6 = 0. Suppose -j = 4*s + 18, -5*j + 4*s = -6 - 24. Factor 17*f**j + 311 - v*f**3 - 95 + 25*f**2 - 180*f.
-3*(f - 6)**2*(f - 2)
Let f(k) be the first derivative of -k**4/2 - 16*k**3 - 153*k**2 - 260*k + 3971. Determine q so that f(q) = 0.
-13, -10, -1
Let m(c) = -c**2 - 4*c + 3. Let o be (-4)/(-6) - 56/12. Let t be m(o). Find s, given that 0*s + s**3 - 5*s + 0*s**t + 4*s**3 = 0.
-1, 0, 1
Suppose 5*i = q - 30 + 20, q = i + 2. Let w(k) be the first derivative of 6/5*k**5 + q*k + 0*k**3 + 0*k**4 + 0*k**2 + 15 + 1/2*k**6. Find u such that w(u) = 0.
-2, 0
Let o(b) = b**2 - 23*b - 67. Let d be o(26). Let t be d/44 + 15/4. Determine z, given that 0*z**3 + 1/4*z**t + 0*z + 0 - 1/4*z**5 + 0*z**2 = 0.
0, 1
Let i(q) be the second derivative of q**5/5 - q**2/2 + 14*q. Let t be i(1). Let -4*m**5 - 10*m + 3*m**t + 5*m**3 + 6*m = 0. Calculate m.
-1, 0, 1
Let s(l) be the first derivative of -54/7*l**3 + 0*l + 93 + 6/7*l**4 + 54/7*l**2. Factor s(d).
6*d*(d - 6)*(4*d - 3)/7
Factor -72086*y + 227*y**2 + 71879*y - 9*