that d(f) = 0.
-8, -2, -1
Suppose 53 = -2*x - 7. Let z = 32 + x. Factor -4*w**3 + w**2 - 5*w**2 + w**4 - z*w**4 + 0*w**4.
-w**2*(w + 2)**2
Let h(t) be the third derivative of t**6/90 + 2*t**5/5 + 11*t**4/6 + 15*t**3/2 + 165*t**2. Let r(w) be the first derivative of h(w). Factor r(g).
4*(g + 1)*(g + 11)
Let p = -247440 + 1237228/5. Factor -2*c - p + 2/5*c**2.
2*(c - 7)*(c + 2)/5
Let c be (-17)/(-15) - 2/6. Let p be -11 + 2289/210 + -15*(-2)/100. Solve c*h - 6/5*h**2 - p*h**4 - h**3 + 8/5 = 0.
-2, 1
Let s(x) = x**3 - 70*x**2 - 45*x + 79. Let j(z) = z**3 - 66*z**2 - 45*z + 80. Let n(g) = -7*j(g) + 6*s(g). Solve n(r) = 0.
-2, 1, 43
Let o(n) be the third derivative of n**8/1848 + 32*n**7/385 + 47*n**6/330 - 16*n**5/55 - 95*n**4/132 - 2*n**2 + 82*n. What is s in o(s) = 0?
-95, -1, 0, 1
Let v(q) be the first derivative of 2*q**3/15 - 3841*q**2/15 + 512*q/3 - 12734. Suppose v(i) = 0. What is i?
1/3, 1280
Let n = -101 - -103. Suppose -100*y**n - 5*y**4 - 26*y**3 - 43*y**4 + 4*y**5 - 12*y**2 + 146*y**3 + 36*y = 0. What is y?
0, 1, 9
Let d(j) be the first derivative of -j**6/24 + 2*j**5/3 - 10*j**4/3 + 119*j**2/2 + j + 203. Let l(n) be the second derivative of d(n). Solve l(q) = 0.
0, 4
Let b(s) be the second derivative of s**6/480 - s**5/240 - s**4/48 - 69*s**2/2 - 57*s. Let z(l) be the first derivative of b(l). Find d, given that z(d) = 0.
-1, 0, 2
Let s(m) = -9*m**2 - 20*m + 6. Let u(q) = q**2 + q - 1. Let c(x) = -s(x) - 6*u(x). Let t be c(-5). Factor t*a + 2*a + 4*a**3 - 3*a - 36 + 8*a + 20*a**2.
4*(a - 1)*(a + 3)**2
Suppose -12948*j - 12 = -12950*j. Factor 7/5*d + j - 1/5*d**2.
-(d - 10)*(d + 3)/5
Let d be 13/(-65)*(5 - 9/1 - (-22)/(-2)). Factor -4/3*o**d - 40/3*o + 44/3*o**2 + 0.
-4*o*(o - 10)*(o - 1)/3
Factor 3356/13*q**3 + 27017588*q + 26873366 + 144480*q**2 + 2/13*q**4.
2*(q + 1)*(q + 559)**3/13
Let w(m) = m - m - 5*m**3 - 2 - 6*m**2. Let u = -5992 - -5990. Let r(g) = -g**3 - 1. Let t(q) = u*r(q) + w(q). Suppose t(b) = 0. Calculate b.
-2, 0
Let t(h) = -25*h**2 + 30*h + 8. Let w(y) = -3*y**2 + y + 1. Let f(o) = 5*t(o) - 40*w(o). Factor f(n).
-5*n*(n - 22)
Solve -81/5*b - 648/5 - 1/5*b**2 = 0.
-72, -9
Let m(y) be the third derivative of -19*y**7/70 + y**6/20 + 247*y**5/20 - 127*y**4/4 + 12*y**3 + 19*y**2 + 2*y - 5. Find d, given that m(d) = 0.
-4, 2/19, 1, 3
Let r(f) = -5*f**2 - 5*f + 4. Let m(i) = -9*i**2 - 10*i + 7. Let c(b) = -3*b + 22. Let j be c(6). Let z(x) = j*m(x) - 7*r(x). Solve z(k) = 0 for k.
-5, 0
Suppose 6*o = -2*o + 40. Suppose -u + 238 = o*k, -3*k - 6*u + 134 = -u. What is b in 6*b**3 + b**3 - 9*b**3 - 16*b - 10*b**3 + 20*b**4 - k*b**2 = 0?
-1, -2/5, 0, 2
Let r(g) = 3*g**3 + 1. Let x(k) = 12*k + 8*k**3 + 62*k**2 + 12*k - 4*k**3 - 7 - 20*k**3. Let s(i) = 28*r(i) + 4*x(i). Let s(h) = 0. Calculate h.
-12, -2/5, 0
Factor -288*c + 472/5*c**2 + 1/5*c**4 + 1296/5 - 8*c**3.
(c - 18)**2*(c - 2)**2/5
Let n(s) be the second derivative of s**4/12 + 11*s**3/6 - 12*s**2 + 46*s. Let l(v) = 15*v**2 + 155*v - 335. Let a(u) = 4*l(u) - 55*n(u). Factor a(c).
5*(c - 1)*(c + 4)
Let f be 6 - (5/4)/(7/28). Let z(d) = -d + 1. Let q(w) = 11*w**2 - 18*w + 7. Let l(n) = f*z(n) - q(n). Factor l(p).
-(p - 1)*(11*p - 6)
Let l(h) be the third derivative of -h**8/1512 + 4*h**7/315 + 7*h**6/270 - 2*h**5/45 - 13*h**4/108 - 2*h**2 + 32*h + 11. Determine g, given that l(g) = 0.
-1, 0, 1, 13
Let o(j) be the first derivative of -3*j**4/4 - 70*j**3 - 3675*j**2/2 + 1252. Find g, given that o(g) = 0.
-35, 0
Factor -2*g**5 - 44*g**2 + 0*g + 32*g**2 - 28*g**3 - 2*g**5 - 20*g**4 + 0*g.
-4*g**2*(g + 1)**2*(g + 3)
Suppose 4*k - 20 - 9*k + 3*k**2 - 16 + 8*k = 0. What is k?
-4, 3
Let n(q) be the first derivative of q**3 + 1884*q**2 + 1183152*q + 838. Factor n(w).
3*(w + 628)**2
Let s(g) = -2*g**4 - 14*g**3 + 34*g**2 - 21*g - 12. Let p(n) = 15*n**4 + 111*n**3 - 271*n**2 + 168*n + 92. Let k(o) = 6*p(o) + 46*s(o). Factor k(b).
-2*b*(b - 7)*(b - 3)*(b - 1)
Let n be (19 + (-580)/30)/(1/(-18)). Let z be 15*(12/(-5))/(-3). Determine o so that o**2 + o + o + z*o - n*o = 0.
-8, 0
Let p(z) be the second derivative of -z**7/21 + 26*z**6/15 - 241*z**5/10 + 460*z**4/3 - 1216*z**3/3 + 512*z**2 - 8*z - 122. Factor p(b).
-2*(b - 8)**3*(b - 1)**2
Suppose 42*c - 4347 = -4179. Let v(g) be the second derivative of -4*g**3 + 0*g**2 - 21/20*g**5 + 0 + 7/2*g**c + 1/10*g**6 - g. What is b in v(b) = 0?
0, 1, 2, 4
Let p(o) = 5*o**5 - 75*o**4 + 35*o**3 + 600*o**2 - 1480*o + 780. Let q(b) = b**4 - b**3 - 6*b**2 + b + 2. Let a(t) = -p(t) + 45*q(t). Solve a(h) = 0.
-3, 1, 2, 23
Let h = -5487 + 1975321/360. Let x(m) be the third derivative of 0*m**3 + 0 + 0*m - h*m**6 - 4*m**2 + 1/45*m**5 - 1/24*m**4. Factor x(j).
-j*(j - 3)*(j - 1)/3
Let g(f) be the second derivative of -11*f + 0 - 1/3*f**3 - 13/2*f**2 - 1/5*f**5 - 1/30*f**6 - 3/8*f**4. Let l(s) be the first derivative of g(s). Factor l(p).
-(p + 2)*(2*p + 1)**2
Let y(h) = -h**4 + 2*h**3 + 2*h - 2. Let j = 33 + -30. Let z(i) = -3*i**3 - 3*i + 3. Let k(f) = j*y(f) + 2*z(f). Find t, given that k(t) = 0.
0
Factor 206/5*v**2 + 5202/5 - 5406/5*v - 2/5*v**3.
-2*(v - 51)**2*(v - 1)/5
Let p(o) be the third derivative of -o**6/24 + 35*o**5/4 + 2165*o**4/24 + 545*o**3/2 + 19*o**2 + o + 1. Find y, given that p(y) = 0.
-3, -1, 109
Let h(j) be the first derivative of 3/5*j**5 + 78 + 7776*j**3 - 279936*j**2 - 108*j**4 + 5038848*j. Suppose h(o) = 0. What is o?
36
Let p be (2/7 - 3500/(-245)) + (-30)/3. Let -2/7 + 32/7*c**3 - 2/7*c + p*c**2 = 0. What is c?
-1, -1/4, 1/4
Let b = 6 + -9. Let p(d) = -d + 4. Let h be p(b). Factor 4*s**4 + 0*s**4 - h*s**4 + 2*s**4 + s**5 - 2*s**3.
s**3*(s - 2)*(s + 1)
Let s(v) be the third derivative of -v**6/180 + 5*v**5/18 + 59*v**4/12 + 31*v**3 - 49*v**2 - 14*v. Factor s(p).
-2*(p - 31)*(p + 3)**2/3
Factor -20/3*c**2 + 2*c**4 + 2/3*c**5 - 6 - 4*c**3 + 14*c.
2*(c - 1)**3*(c + 3)**2/3
Factor 580/3*r - 5/3*r**3 + 320 + 40/3*r**2.
-5*(r - 16)*(r + 2)*(r + 6)/3
Let j be (-3)/243*(-558)/124. Let r(n) be the second derivative of -1/36*n**4 + 1/6*n**2 - 2*n + j*n**3 + 0 - 1/60*n**5. Suppose r(h) = 0. Calculate h.
-1, 1
Let w(x) be the third derivative of x**5/510 - x**4/12 - 28*x**3/17 + 384*x**2. Determine h so that w(h) = 0.
-4, 21
Let f = -496553/3 + 165518. Factor 0 - 4/3*c**2 + c**3 + f*c**4 + 0*c.
c**2*(c - 1)*(c + 4)/3
Factor 3016/7*r + 113/7*r**2 + 1/7*r**3 - 10092/7.
(r - 3)*(r + 58)**2/7
Let b = 8131 + -40654/5. Let o(n) be the first derivative of -2/5*n - 2/25*n**5 + 4/15*n**3 + b*n**2 - 1/5*n**4 - 7 + 1/15*n**6. Factor o(z).
2*(z - 1)**3*(z + 1)**2/5
Suppose 2*m + 0*m = -10, m - 31 = -4*o. Let y(l) be the first derivative of 1/4*l**2 + 0*l**3 + o + 1/3*l - 1/24*l**4. Let y(j) = 0. What is j?
-1, 2
Find n, given that 1/6*n**5 + n**4 - 23/3*n**3 - 25/2*n + 11/3 + 46/3*n**2 = 0.
-11, 1, 2
Let b(z) be the second derivative of -4*z**4/3 - 4*z**3/5 - z**2/10 + 65*z + 36. Suppose b(s) = 0. Calculate s.
-1/4, -1/20
Let j be (-237)/(-10) - (-2088)/1392. Factor -240*d + j*d**4 + 504*d**2 - 3/5*d**5 - 1443/5*d**3 + 0.
-3*d*(d - 20)**2*(d - 1)**2/5
Let z be (-22)/(-132)*10*31/((-4340)/(-24)). Suppose -4/7*c**2 - 2/7*c + 4/7 + z*c**3 = 0. Calculate c.
-1, 1, 2
Let j(n) be the third derivative of n**6/480 - 2*n**5/15 - 11*n**4/2 + 50*n**2 + 5*n. Factor j(z).
z*(z - 44)*(z + 12)/4
Let w(n) be the second derivative of n**4/4 + 137*n**3 + 819*n**2/2 - 47*n + 13. Find a, given that w(a) = 0.
-273, -1
Suppose 0 = -3*s - 3278*h + 3273*h + 60, 0 = -s + h - 12. Factor s - 2/3*r**2 + 2/3*r.
-2*r*(r - 1)/3
Let i be (-1)/((-1)/(209/399 + (-5)/(-15))). Let 0 - i*v**4 + 0*v + 0*v**3 + 8/7*v**2 + 2/7*v**5 = 0. What is v?
-1, 0, 2
Let r(a) be the second derivative of -3*a + 7*a**2 - 1/150*a**5 + 0*a**3 + 0 + 1/60*a**4. Let f(t) be the first derivative of r(t). Let f(k) = 0. Calculate k.
0, 1
Let c(k) = 3*k**2 - 633*k + 10247. Let h(j) = -j**2 + 316*j - 5124. Let x be 1208/80 + -8 - 2/20. Let s(b) = x*h(b) + 4*c(b). Find t, given that s(t) = 0.
32
Let c(y) be the third derivative of y**5/30 - y**3/3 + 9*y**2. Let u be c(-3). Solve 7*x**3 - 3*x**3 + 7*x**3 + 9*x**3 + 4*x**4 + 32*x**2 + u*x = 0.
-2, -1, 0
Let g(z) = 30*z**3 - 16770*z**2 + 2345289*z + 940800. Let s(l) = -15*l**3 + 8386*l**2 - 1172644*l - 470400. Let h(y) = -4*g(y) - 9*s(y). Factor h(p).
3*(p - 280)**2