(p) be the second derivative of -p**5/90 - 5*p**4/18 - 25*p**3/9 + 59*p**2 - 149*p. Let t(u) be the first derivative of r(u). Solve t(n) = 0 for n.
-5
Suppose 0*w - 496 = -155*w - 93*w. Let c(f) be the first derivative of -1/2*f**w + 18 + 4*f - 1/6*f**3. Determine l, given that c(l) = 0.
-4, 2
Let t = -184213/2 + 92107. Factor 1/2*z**2 + 3/2 - 5/2*z + t*z**3.
(z - 1)**2*(z + 3)/2
Let z be (-3 - -11)/(-101 + 125). Find a, given that -1/3*a**3 + 13/3*a - 7/3*a**2 + z*a**4 - 2 = 0.
-3, 1, 2
Let q be 12/9 + 180/27. Factor -11*k + 134*k**3 - 135*k**3 + 6 + q*k**2 - 2*k.
-(k - 6)*(k - 1)**2
Let j be 2*6/((-6)/(-1)). Factor -7*x**4 - 78*x**j + 25*x**3 - 3*x**4 + 93*x**2.
-5*x**2*(x - 3)*(2*x + 1)
Let c(r) = -68*r + 623. Let n be c(9). Let y(u) be the second derivative of 110/3*u**3 + 0 + 2/3*u**6 - n*u + 20*u**2 + 45/2*u**4 + 25/4*u**5. Factor y(v).
5*(v + 2)**3*(4*v + 1)
Let g(c) = -14*c**4 + 258*c**3 - 1378*c**2. Let p(a) = 2*a**4 - 37*a**3 + 197*a**2. Let q(v) = -6*g(v) - 44*p(v). Factor q(d).
-4*d**2*(d - 10)**2
Let j(y) = -y**3 - 32*y**2 + 31*y - 59. Let c be j(-33). Suppose -52*m = c*m - 236. Determine d, given that -2/7*d + 2/7*d**m - 6/7*d**3 + 6/7*d**2 + 0 = 0.
0, 1
Let y(r) be the first derivative of 61 + 0*r + 3/5*r**5 + 15/2*r**4 + 0*r**2 + 9*r**3. Find f such that y(f) = 0.
-9, -1, 0
Suppose -5*v = 2*q - 15, 2*q = v - 13 - 2. Suppose v*y - 48 - 82 = 0. Find t, given that -6*t**3 - 12 - 3*t**4 + 18*t**2 - 3*t**2 - 11*t**3 + y*t**3 - 9*t = 0.
-1, 1, 4
Let i(j) be the third derivative of -j**8/1344 + j**7/72 - 7*j**6/72 + j**5/3 + 5*j**4/8 + 125*j**2. Let t(n) be the second derivative of i(n). Factor t(f).
-5*(f - 4)*(f - 2)*(f - 1)
Factor 54/11*r**3 + 690/11*r - 72/11 - 384/11*r**2.
6*(r - 4)*(r - 3)*(9*r - 1)/11
Let d(y) be the second derivative of -y**5/240 - y**4/96 + y**3/2 + 133*y**2/2 - y + 35. Let n(f) be the first derivative of d(f). What is q in n(q) = 0?
-4, 3
Let m = 1689 - 348. Suppose -m*y = -1353*y. Suppose 2/15*o**3 - 2/15*o**2 - 4/15*o + y = 0. What is o?
-1, 0, 2
Let u(r) = 65*r**2 - 145*r - 444. Let z(g) = 54*g**2 - 146*g - 444. Let m(q) = 5*u(q) - 6*z(q). Find x such that m(x) = 0.
-148, -3
Suppose 0 = 2*h + 27*h - 87. Factor -36 - 7*s**2 - 275*s**3 + 11*s**2 + 279*s**h - 36*s.
4*(s - 3)*(s + 1)*(s + 3)
Let p(g) = -6*g**4 - 22*g**3 + 42*g**2 + 22*g - 72. Let d(s) = s**4 + s**3 + s**2 - s + 7. Let f(a) = 4*d(a) + p(a). Let f(j) = 0. Calculate j.
-11, -1, 1, 2
Let q = -1402 - -1412. Let b be (q/6)/(559/(-78) - -8). Suppose 8/5*a + 2/5*a**b - 2 = 0. What is a?
-5, 1
Suppose -5*i + 17 = 2. Let k = 1578532 - 4735594/3. Solve -k*r**2 - 2 + 2/3*r**i - 10/3*r = 0.
-1, 3
Suppose 0 = -2*d - 5*z + 19, z + 1 = 4. Factor -212*a**d + 425*a**2 + 144 - 212*a**2 + 24*a.
(a + 12)**2
Let p be (-3)/(-4) + (-5068)/(-2896). Factor -p*r + 3/4 + 25/12*r**2.
(5*r - 3)**2/12
Find y such that -59/12*y + 7/3*y**2 + 1/12*y**3 + 5/2 = 0.
-30, 1
Suppose -h + 5 + 3 = 0. Let r be (-3)/4 - ((-22)/h - 0). Let n - 4*n**r + 4*n**3 + 1 - 2 - 5*n + 5 = 0. Calculate n.
-1, 1
Let k(j) = j**3 + 10*j**2 - j + 252. Let a be k(-12). Let q be a/(-180)*-5*-2. Suppose 0*m**2 - 2*m - q + 2/3*m**3 = 0. Calculate m.
-1, 2
Determine c, given that -1360862*c - 20*c**3 + 512072 + 76634*c + 4646*c**2 - 102*c**2 + 5584*c**2 = 0.
2/5, 253
Let o = -596 - -626. Determine q, given that -o*q**3 - 25*q**4 + 2*q**4 + 0*q**4 - 5*q**5 - 2*q**4 = 0.
-3, -2, 0
Let -307*g**2 + 568*g**2 + 19*g + 45*g + 12*g**3 - 16 - 313*g**2 = 0. Calculate g.
1/3, 2
Let u(j) = 3*j**2 - 5. Let k be u(2). Let x(l) = 5*l**2 - 18*l - 16. Let o(r) = 3*r**2 - 9*r - 8. Let h(g) = k*o(g) - 4*x(g). Find f, given that h(f) = 0.
-8, -1
Let -6348*n + 6072*n**2 + 0 - 1314*n**3 - 66*n**4 - 3/4*n**5 = 0. Calculate n.
-46, 0, 2
Let l(u) be the second derivative of u**5/110 + 4*u**4/33 + 20*u**3/33 + 16*u**2/11 + 204*u. Factor l(d).
2*(d + 2)**2*(d + 4)/11
Determine x, given that 93/7*x**2 - 4860/7 + 432/7*x + 3/7*x**3 = 0.
-18, 5
Suppose 0 = -9*b - 21*b + 120. Factor -56*j**3 + 128*j**3 - 52*j**2 - b*j**4 + 24*j - 40*j**3.
-4*j*(j - 6)*(j - 1)**2
Let i = 209 - 206. Find k, given that -17*k**i + 64000*k + 134*k**3 - 4800*k**2 - 320000 - 2*k**4 + 43*k**3 = 0.
20
Let f be (12/28*-3)/(1 - (-49)/(-28)). Let v be 55/28 + (-4)/16. Suppose -18/7*r**3 - 3/7*r - 3/7*r**5 + v*r**2 + 0 + f*r**4 = 0. What is r?
0, 1
Determine n, given that -30/7*n - 2/7*n**3 - 36/7*n**2 + 68/7 = 0.
-17, -2, 1
Let c be (-216)/(-15) + (64/40 - 2). Factor 7*o**2 + 14*o - 14 + c*o + 55 + 7 - 3*o**2.
4*(o + 3)*(o + 4)
Let u(i) = 6*i - 35. Let l be u(5). Let n be 2/l*2 + (-129)/(-105). Suppose 0 + n*w**4 + 9/7*w**2 - 3/7*w - 9/7*w**3 = 0. What is w?
0, 1
Let s(f) = -32*f**2 - 224*f + 258. Let q be s(-8). Factor -1/6*z**3 + 1/3*z**4 + 0 + 0*z + 0*z**q - 1/6*z**5.
-z**3*(z - 1)**2/6
Let n(w) be the second derivative of w**4/12 - w**3/6 - 45*w. Let l(v) = 2*v**3 - 2*v**2. Let k(x) = l(x) + 2*n(x). What is u in k(u) = 0?
-1, 0, 1
Let k(x) be the second derivative of x**5/5 + x**4/3 - 4*x**3/3 - 2598*x. Factor k(t).
4*t*(t - 1)*(t + 2)
Suppose 0 = 3*s + 4*d - 47, 0 = -3*d - 3. Factor s*z**2 + 3*z - 18 - 2*z**2 - 9*z**2.
3*(z + 2)*(2*z - 3)
Determine g, given that -78*g**3 - 252*g - 23*g**3 + 30*g**4 - 114*g**2 + 164*g**3 - 24 = 0.
-2, -1/10, 2
Factor 2888 - 452/9*c**3 + 25082/9*c**2 + 17176/3*c + 2/9*c**4.
2*(c - 114)**2*(c + 1)**2/9
Suppose q - 4474*v + 4478*v = -12, 0 = 3*q + v + 3. Solve -2/13*u**2 + q - 10/13*u = 0 for u.
-5, 0
Let j = -6635 + 10030. Let -j*y**2 + 14 + 36*y - 53 + 3398*y**2 = 0. Calculate y.
-13, 1
Let 1/5*m**3 + 18/5*m**2 + 42/5 - 61/5*m = 0. What is m?
-21, 1, 2
Factor -1852 + 2*m**3 - 5*m**3 - 1844 - 3*m**2 - 1849 + 12*m + 5557.
-3*(m - 2)*(m + 1)*(m + 2)
Let q(r) = 8828*r + 26486. Let n be q(-3). Factor 1/6*o**n + 8/3 + 5/3*o.
(o + 2)*(o + 8)/6
Let f(h) be the second derivative of 9*h**7/14 + 359*h**6/40 + 267*h**5/8 - 25*h**4/16 - 93*h - 2. Solve f(t) = 0.
-5, 0, 1/36
Suppose -5*c = -2*h + 7 + 21, 4 = -c. Suppose h*m - 12 = 0, 5*m = 3*a + 2*m - 60. Factor -6*f**3 + a*f**2 + 3*f - 23*f**2 + 3*f**5.
3*f*(f - 1)**2*(f + 1)**2
Let z(v) be the first derivative of -v**4/12 - 7*v**3/9 + 14*v**2/3 - 20*v/3 + 482. Factor z(w).
-(w - 2)*(w - 1)*(w + 10)/3
Let d(u) be the first derivative of u**4/6 - 76*u**3/9 + 132*u**2 - 432*u + 127. Factor d(q).
2*(q - 18)**2*(q - 2)/3
Let k(w) = -13*w**3 - 50*w**2 + 28*w + 80. Let l be k(-4). Factor l*g + 8/13*g**4 + 4/13*g**2 - 18/13*g**3 + 0.
2*g**2*(g - 2)*(4*g - 1)/13
Let z(y) be the third derivative of 7/6*y**3 - 1/24*y**4 + 0 - 1/1440*y**6 + 0*y - 5*y**2 + 1/120*y**5. Let v(f) be the first derivative of z(f). Factor v(s).
-(s - 2)**2/4
Suppose 13 - 5 = 2*o. Suppose -o*p + 10*p - 18 = 0. Factor -7*j**2 - 7*j**3 - 13*j**p + 19*j**2 + j**4 + 4*j**5 + 3*j**4.
4*j**2*(j - 1)**2*(j + 3)
Factor 0*g**2 + g**2 + 7420*g - 3797*g - 3793*g.
g*(g - 170)
Suppose 21 = 3*x - 0. Suppose 0*m - x*m**2 + 5*m**2 - 16 - 9*m - 3*m = 0. What is m?
-4, -2
Suppose 4*g + 2*b = 40, 4*g - b - 37 = 15. What is y in -44 + g*y**2 + 107*y - 34*y + 55*y = 0?
-11, 1/3
What is c in -5/6*c**2 - 215/3 + 145/2*c = 0?
1, 86
Suppose 14*s - 21 = 315. Suppose 5*d + 5*b = 45, -13*d - s = -15*d - 4*b. Determine v so that -8*v - d*v**2 + 14/3*v**3 + 8/3 = 0.
-1, 2/7, 2
Let i(h) be the second derivative of h**5/130 + 8*h**4/39 - 101*h**3/39 + 84*h**2/13 - 1591*h. Factor i(y).
2*(y - 4)*(y - 1)*(y + 21)/13
Let d(n) = -354*n**4 + 322371*n**3 + 80679*n**2 + 54*n. Let k(o) = 85*o**4 - 77369*o**3 - 19363*o**2 - 13*o. Let q(p) = 13*d(p) + 54*k(p). Factor q(z).
-3*z**2*(z - 1075)*(4*z + 1)
What is g in -60 - 70*g**2 - 203*g + 13*g**3 + 19*g**3 - 69*g**3 + 22*g**3 + 12*g**3 = 0?
-20, -3, -1/3
Factor -2/7*n**4 + 1550/7*n + 6*n**3 + 0 + 570/7*n**2.
-2*n*(n - 31)*(n + 5)**2/7
Let c(j) be the third derivative of -j**7/735 + j**6/420 + j**5/30 - 13*j**4/84 + 2*j**3/7 + 1086*j**2. Let c(k) = 0. What is k?
-3, 1, 2
Let d(o) = -31*o**3 + 36*o**2 + 7*o - 26. Let l = 119 - 126. Let a(y) = -10*y**3 + 12*y**2 + 2*y - 8. Let g(j) = l*a(j) + 2*d(j). Let g(i) = 0. Calculate i.
-1/2, 1
Let j(i) be the first derivative of -1/40*i**4 + 1/20*i**2 - 1/2*i + 1/6*i**3 + 199. Find k, given that j(k) = 0.
-1, 1, 5
Suppose -4*y = -20, -22*y = -4*f - 23*y + 17. Let l(z) be the