p - 8)*(p + 1)*(7*p - 10)
Suppose 305*m = -4*g + 310*m + 23, m = -3. Suppose -2/5*y**4 + 0 + 0*y**g + 0*y + 0*y**3 = 0. Calculate y.
0
Let x(o) be the first derivative of o**4/18 - 104*o**3/9 + 1975*o**2/3 + 24964*o/9 + 1572. Factor x(u).
2*(u - 79)**2*(u + 2)/9
Let y(s) be the first derivative of s**3/18 - 164*s**2/3 - 219*s/2 - 3393. Suppose y(l) = 0. Calculate l.
-1, 657
Let a(r) be the second derivative of 0*r**2 - 1/4*r**4 + 7/100*r**5 - 1/150*r**6 + 0 + 3/10*r**3 - 124*r. Find q, given that a(q) = 0.
0, 1, 3
Let t be (-1)/(1/(1 + -2)). Let k be 3 - -1 - t - -25. Factor 4 - 15*j + k*j + j**3 + 6*j**3 + 15*j**2 + j**4.
(j + 1)**3*(j + 4)
What is o in 9*o**2 - 773*o**2 + 4*o**4 + 216*o**3 + 334*o**2 - 912*o - 270*o**2 = 0?
-57, -1, 0, 4
Let p(m) = 5*m + 58. Let b be p(-14). Let s be (-2)/b*-8*(-32 + 2). Factor -14*g**2 - s*g - 50/3 - 4/3*g**3.
-2*(g + 5)**2*(2*g + 1)/3
Let h(l) = 43*l + 81. Let i be h(0). Let d = i - 241/3. Factor -4/3*y**2 - 2/3*y + 0 - d*y**3.
-2*y*(y + 1)**2/3
Suppose 94 = 4*d + 86. Let z(m) be the first derivative of 0*m**d + 2/7*m - 9 - 2/21*m**3. Factor z(t).
-2*(t - 1)*(t + 1)/7
Let r(l) = l**2 - 10*l - 19. Let i(v) = v**2 + 1. Let g(j) = 2*i(j) - r(j). Let f be g(-8). Factor -9*b**f + 18*b**5 + 6*b**4 - 3*b - 6*b**2 - 6*b**5.
3*b*(b - 1)*(b + 1)**3
Let v = 317 - 314. Let -91 + 5*c**4 + 5*c**v + 91 - 15*c**3 = 0. Calculate c.
0, 2
Let w = -80649/2 - -40326. Let f(h) be the first derivative of -3/4*h**4 - 2*h + 25 - w*h**2 + 8/3*h**3. Let f(z) = 0. What is z?
-1/3, 1, 2
Let c(x) be the second derivative of x**5/70 + 1081*x**4/21 - 4327*x**3/21 + 2164*x**2/7 + 4874*x. Factor c(q).
2*(q - 1)**2*(q + 2164)/7
Let q(j) be the second derivative of 17/3*j**3 + 0*j**2 + 3*j + 1/6*j**4 - 3. Determine s, given that q(s) = 0.
-17, 0
Let i be 3/(-33) - (1020/(-66))/5. Factor b**i + 4804 - 4804 - b**2 + b**4 - b.
b*(b - 1)*(b + 1)**2
Let m(k) be the third derivative of -k**8/12 - 6*k**7/7 - 23*k**6/15 + 2*k**5 + 53*k**4/6 + 10*k**3 - 15*k**2 - 30. Find w such that m(w) = 0.
-5, -1, -3/7, 1
Let f(r) = 6*r**4 - 21*r**3 - 84*r**2 - 87*r - 30. Let l(q) = 0*q**2 - 489*q**3 + q**4 + 489*q**3 - q**2. Let s(g) = -f(g) + 3*l(g). Factor s(m).
-3*(m - 10)*(m + 1)**3
Let w(l) be the first derivative of -2*l**6/21 - l**5 + 369*l**4/28 - 30*l**3/7 - 1354. Determine t, given that w(t) = 0.
-15, 0, 1/4, 6
Let l be (-35)/(-28)*(-1472)/(-460) + 116/(-42). Factor l*u - 4/21 - 22/21*u**2.
-2*(u - 1)*(11*u - 2)/21
Let p be (-14)/(-84) + -3633*(-4)/(-152). Let g = -286/3 - p. What is c in 18/19*c**3 + 8/19*c**5 + 0 - g*c + 22/19*c**4 + 2/19*c**2 = 0?
-1, 0, 1/4
What is k in 57*k + 5*k**2 + 187*k + 91*k + 110*k - 450 = 0?
-90, 1
Let i(m) be the third derivative of -1/6*m**3 - 1/72*m**6 + 0*m**4 + 0*m + 4*m**2 + 0 - 1/12*m**5. Let a(g) be the first derivative of i(g). Factor a(v).
-5*v*(v + 2)
Let z(g) be the third derivative of -5*g**8/336 + 31*g**7/84 - 61*g**6/48 - 8*g**5/3 + 65*g**4/4 + g**2 + 9*g + 5. Let z(v) = 0. What is v?
-3/2, 0, 2, 13
Let q(c) be the first derivative of 3*c**4/16 + c**3/4 - 27*c**2/8 - 27*c/4 - 1246. Factor q(u).
3*(u - 3)*(u + 1)*(u + 3)/4
Let v = 1324 + -1634. Let b = v - -312. Find j, given that -10/3*j**b - 2/3 - 4*j = 0.
-1, -1/5
Suppose -50*d - 442*d**3 - 6 - 410*d**3 + 0 - 16*d**2 - 6 + 930*d**3 = 0. What is d?
-6/13, -1/3, 1
Let c(z) be the second derivative of 0 - 3/2*z**2 + 3/20*z**5 + 1/40*z**6 + 3/16*z**4 + 54*z - 1/2*z**3. Let c(w) = 0. Calculate w.
-2, -1, 1
Suppose -40 = -3*m - 5*n, m = n - 0 + 16. Suppose -2*s - 50 = -5*v, 2*s + 3 = v - m. Factor -v*w**2 + 14*w**5 - 17*w**5 + 8*w**2.
-3*w**5
Suppose 40 = -5*r + 9*r. Factor 62*o**2 + 6*o**3 - 108*o + r*o**2 + 27*o**3 + 11*o**4 - 8*o**4.
3*o*(o - 1)*(o + 6)**2
Let u(k) be the first derivative of 3*k**4/32 - 561*k**3/8 + 314721*k**2/16 - 19617609*k/8 + 761. What is z in u(z) = 0?
187
Let h = 534 - 512. Factor 44*i - 3*i**2 - h*i - 58*i - 60.
-3*(i + 2)*(i + 10)
Let k(n) be the third derivative of 0*n + 0*n**4 + 1/1680*n**8 + 1/75*n**5 + 1/210*n**7 - 45*n**2 + 0*n**3 + 1/75*n**6 + 0. Find v, given that k(v) = 0.
-2, -1, 0
Suppose 0 = 2*x - 2*u - 1310, 3310 = 5*x - 38*u + 40*u. Let c = -658 + x. Factor 0 + 2/21*s - 10/21*s**c.
-2*s*(5*s - 1)/21
Let o(w) = -31*w**3 - 126*w**2 + 780*w - 1180. Let l(u) = 340*u**3 + 1385*u**2 - 8580*u + 12930. Let f(r) = -6*l(r) - 65*o(r). Factor f(z).
-5*(z - 2)**2*(5*z + 44)
Let -34/9*r**4 + 112/9*r - 136/9*r**2 + 64/3 - 44/3*r**3 - 2/9*r**5 = 0. Calculate r.
-12, -2, 1
Let h(g) = -g**2 + 2*g + 95. Let x be h(0). Let u = x - 57. Determine q so that 3 + 0 - 38*q + u*q - 3*q**2 = 0.
-1, 1
Factor 10 + 22*h + 23/2*h**2 + 3/2*h**3.
(h + 2)*(h + 5)*(3*h + 2)/2
Suppose -f - 2*k + 11 = 0, k + 44 = 4*f + 6*k. Let g = 0 - 0. Find b such that -2*b**2 + g*b**2 - 9*b - 50 - f*b = 0.
-5
Suppose -8 + 4 + 4 = 72*r. Let q(n) be the second derivative of -392/5*n**2 - 56/15*n**3 - 1/15*n**4 + r - 23*n. Find v such that q(v) = 0.
-14
Let y = -3425/4809 - -174/229. Let h(s) be the second derivative of -1/10*s**5 - 4/15*s**6 - 8*s**2 - y*s**7 + 4/3*s**3 + 5/3*s**4 - 25*s + 0. Factor h(i).
-2*(i - 1)**2*(i + 2)**3
Let o(x) = x**3 - x**2 - 14. Let y(p) = -18*p**3 - 969*p**2 - 1959*p - 768. Let k(h) = -15*o(h) - y(h). Factor k(z).
3*(z + 1)**2*(z + 326)
What is p in -116*p**3 + 480/7 + 552/7*p**2 + 272*p = 0?
-30/29, -2/7, 2
Let o(g) be the first derivative of -2*g**3/63 + 1133*g**2/21 + 108*g + 2547. Factor o(t).
-2*(t - 1134)*(t + 1)/21
Let w(p) = 60*p**4 + 490*p**3 - 1022*p**2 - 452*p - 14. Let i(y) = 20*y**4 + 163*y**3 - 341*y**2 - 150*y - 5. Let t(b) = -14*i(b) + 5*w(b). Factor t(v).
4*v*(v - 2)*(v + 10)*(5*v + 2)
Let k(j) be the third derivative of 4*j**2 + 0 - 10*j - 4/3*j**4 - 32/3*j**3 - 1/15*j**5. Determine b so that k(b) = 0.
-4
Let a(f) = -41*f**2 + 2. Let o be a(1). Let y = o - -43. Let y*d + 4 - 5*d**2 + 3 + 8 - 14*d = 0. Calculate d.
-3, 1
Let b = 2 + -2. Let k be 134*(-248)/(-74772)*(9/2)/((-5)/(-10)). Suppose -1/3*x**k + 0*x**3 + 0*x**2 + 1/3*x**5 + b + 0*x = 0. Calculate x.
0, 1
Suppose -648/17 + 6/17*d**2 + 342/17*d + 2/17*d**4 - 22/17*d**3 = 0. What is d?
-4, 3, 9
Let w(x) be the first derivative of x**4/6 - 298*x**3/9 + 289*x**2 - 858*x - 3310. Factor w(q).
2*(q - 143)*(q - 3)**2/3
Let z(n) = -2*n**4 - 47*n**3 + 46*n**2. Suppose -4*q + 23 - 47 = 0. Let d(k) = k**3. Let b(i) = q*d(i) - 2*z(i). Factor b(o).
4*o**2*(o - 1)*(o + 23)
Let u be 224/42*21/(-14). Let f be u/26*(-104)/240. Solve -98/15 - f*h**3 - 14/3*h + 26/15*h**2 = 0.
-1, 7
Let i = 38109 - 38109. Let b(s) be the third derivative of 1/120*s**6 - 1/10*s**5 + 0 - 15*s**2 + i*s**3 + 0*s - 7/24*s**4. Factor b(y).
y*(y - 7)*(y + 1)
Let v(m) = 4*m**2 - 76*m - 96. Let a(b) = -b**2 + 15*b + 19. Suppose 2*h = -4*q + 18, h + 3*q = 4*h. Let d(p) = h*v(p) + 16*a(p). Factor d(o).
-4*(o - 4)*(o + 1)
Solve 4032/5 + 4/5*m**3 + 48/5*m - 16*m**2 = 0 for m.
-6, 12, 14
Let a(v) be the first derivative of -5*v**4 - 62*v**3/3 - 4*v**2 + 15. Let q(b) = -8*b**3 - 25*b**2 - 3*b. Let m(i) = 5*a(i) - 12*q(i). What is l in m(l) = 0?
-2, -1/2, 0
Let f(d) be the third derivative of -d**5/270 + 248*d**4/27 + 331*d**3/9 - 10535*d**2 - 2*d. Solve f(x) = 0.
-1, 993
Determine t, given that 173/5*t**2 + 20 + 5*t**3 - 1/5*t**5 + 48*t - 9/5*t**4 = 0.
-10, -2, -1, 5
Suppose -12 = -25*o + 63. Suppose -17*a + 3*a + 2*a + 5*a**2 - o*a**2 + 6*a = 0. What is a?
0, 3
Let v(l) = -l**3 - 5*l**2 - l. Let t be v(-5). Find z such that 5*z**3 - 18*z**4 + 8*z**4 + t*z**4 = 0.
0, 1
Let c = -95/21 - -29/21. Let i = c + 124/35. Factor 6/5*t - i*t**2 - 4/5*t**3 + 0.
-2*t*(t - 1)*(2*t + 3)/5
Let o(d) be the first derivative of 0*d + d**2 + 89 + 1/15*d**3. What is w in o(w) = 0?
-10, 0
Let n(z) be the second derivative of z**4/72 - 97*z**3/18 + 9409*z**2/12 - 951*z. Factor n(q).
(q - 97)**2/6
Let q = -133 + 142. Let f(c) = 2*c**3 - 19*c**2 + 14*c - 45. Let w be f(q). Factor 2/9*t**5 + 0 - 2/9*t**3 - 2/9*t**2 + w*t + 2/9*t**4.
2*t**2*(t - 1)*(t + 1)**2/9
Let j(f) be the second derivative of -f**7/6300 - f**6/40 - 11*f**5/75 + 19*f**4 - 106*f. Let m(a) be the third derivative of j(a). Factor m(b).
-2*(b + 1)*(b + 44)/5
Let t be 15/21*(3/(-9))/((-50)/525). Let j(c) be the second derivative of -35/12*c**4 - 3/4*c**5 + 0 - t*c**2 + 32*c