2397*r**4 - 6 + 21*r - t*r**4 - 3*r**3 = 0.
-2, 1/2, 1
Let a(c) be the second derivative of -c**6/15 - 6*c**5 + 187*c**4/6 - 42*c**3 - 2529*c. Suppose a(m) = 0. Calculate m.
-63, 0, 1, 2
Let b = 268130/21 + -12745. Let c = -68/3 + b. Factor 39/7*l**2 - c*l**3 - 15*l - 21.
-3*(l - 7)**2*(l + 1)/7
Suppose -20/3 + 62/9*n**2 + 26/9*n - 2/9*n**4 - 26/9*n**3 = 0. What is n?
-15, -1, 1, 2
Let m(u) be the third derivative of u**5/4 + 127*u**4/24 - 13*u**3/3 - 1110*u**2. Find p, given that m(p) = 0.
-26/3, 1/5
Let b = 34020 + -8606981/253. Let k = b - 3/23. Factor -18/11 - 12/11*f - k*f**2.
-2*(f + 3)**2/11
Let n(q) = -4*q**3 - 71*q**2 - 1425*q - 5448. Let w(v) = -21*v**3 - 355*v**2 - 7127*v - 27241. Let s(x) = 16*n(x) - 3*w(x). Factor s(j).
-(j + 5)*(j + 33)**2
Let v(g) be the third derivative of 0*g + 1/8*g**6 - 35/12*g**5 - 109*g**2 - 1 + 30*g**3 + 20*g**4. Factor v(u).
5*(u - 6)**2*(3*u + 1)
Factor -180*t**3 + 38985*t**2 + 0*t**4 + 5*t**4 - 38645*t**2.
5*t**2*(t - 34)*(t - 2)
Let d be 1*-3*(-15)/9. Solve -120 - 105*b**3 - 28*b**2 + 38*b**2 + 60*b**2 + 40*b**4 + 100*b - d*b**5 = 0.
-1, 2, 3
Let c be (-203)/(-174) - 21/42. Determine q so that -16/9*q**2 + 14/9*q**4 + 0 - c*q**5 + 0*q + 44/9*q**3 = 0.
-2, 0, 1/3, 4
Let m be 60/(-2) - (-2171 - -2135). Solve 3/2*k**4 - m + 3*k**3 - 9/2*k**2 - 12*k = 0.
-2, -1, 2
Let t(c) be the third derivative of 17/32*c**4 + 79*c**2 + 0 - 1/280*c**7 - 17/80*c**5 + 0*c - 3/4*c**3 + 7/160*c**6. Let t(r) = 0. Calculate r.
1, 2, 3
Let z(u) be the second derivative of u**5/36 - 5*u**4/12 + 20*u**3/9 + 12*u**2 - 31*u. Let f(y) be the first derivative of z(y). Find l such that f(l) = 0.
2, 4
Let r be ((-60)/8)/(-6 + -1)*((-2736)/95)/(-18). Suppose r + 3/7*i**2 - 24/7*i + 3*i**3 - 15/7*i**4 + 3/7*i**5 = 0. Calculate i.
-1, 1, 2
Let n be 1020/1190 - (726/(-35) - 4). Factor 288/5*d - n - 162/5*d**2.
-2*(9*d - 8)**2/5
Let u(h) be the first derivative of 2*h**5/15 - 4*h**4 - 34*h**3/3 - 26*h**2/3 + 1666. Factor u(g).
2*g*(g - 26)*(g + 1)**2/3
Let d(k) be the first derivative of k**4/36 - 19*k**3/27 + 38*k**2/9 + 32*k/3 + 665. Determine s, given that d(s) = 0.
-1, 8, 12
Let b(z) be the second derivative of -19/8*z**4 + 0*z**2 + 5*z**3 - 3/40*z**5 + 10 + 3*z. Factor b(q).
-3*q*(q - 1)*(q + 20)/2
Let p(c) be the third derivative of -1/360*c**6 + 0*c - 22*c**2 - 8/9*c**3 - 11/180*c**5 - 13/36*c**4 + 1. Factor p(a).
-(a + 1)*(a + 2)*(a + 8)/3
Let o(c) = -c**2 + 44*c - 45. Let j be o(35). Factor 132*u - 195 + 5*u**3 + 45*u**2 - 17*u + j.
5*(u + 1)*(u + 3)*(u + 5)
Let c(q) = -q**2 - 2*q - 6. Let r(k) = -9*k - 84. Let m be r(-9). Let w(p) = p**2 + 4*p + 7. Let j(i) = m*w(i) - 4*c(i). Solve j(o) = 0 for o.
1, 3
Let x(a) be the second derivative of -126 - 205/6*a**4 - 1/4*a**5 + 2*a - 4400/3*a**3 - 8000*a**2. Factor x(f).
-5*(f + 2)*(f + 40)**2
Let d(n) be the third derivative of 0*n**4 - 1/35*n**5 - 1/490*n**7 + 0*n + 0*n**3 + 29*n**2 - 1/70*n**6 + 0. Factor d(s).
-3*s**2*(s + 2)**2/7
Let c(a) = 13*a - 20. Let x be c(2). Factor -2*y - 9*y - 13*y - 12*y + x*y + 5*y**2.
5*y*(y - 6)
Suppose 60051*u - 60033*u - 108 = 0. Let i(f) be the first derivative of -16/15*f**3 - 1/15*f**u - 4/5*f + 7/5*f**2 + 1/5*f**4 + 4/25*f**5 - 23. Factor i(r).
-2*(r - 1)**4*(r + 2)/5
Let d = 1234872 - 3704387/3. Factor -3 - 100/3*i**4 - d*i**2 - 260/3*i**3 - 26*i.
-(i + 1)**2*(10*i + 3)**2/3
Factor -2/3*k**3 + 112*k + 0 + 44/3*k**2.
-2*k*(k - 28)*(k + 6)/3
Let k(w) be the first derivative of w**5/5 - 17*w**4/2 + 92*w**3/3 + 17*w**2 - 93*w - 1788. Determine x so that k(x) = 0.
-1, 1, 3, 31
Solve -8/7*q**5 + 152/7*q - 22*q**4 - 6/7*q**3 + 0 + 88*q**2 = 0.
-19, -2, -1/4, 0, 2
Suppose 3*j + l - 3 = 0, 5*l = -0*j + 2*j - 19. Factor -686*w**5 + 695*w**5 + 14*w**j - 12*w**4 + 6 + 9*w**2 - 12*w**4 - 5*w**2 - 21*w + 12*w**3.
3*(w - 1)**3*(w + 1)*(3*w - 2)
Let y(j) be the second derivative of 3/14*j**4 + 0*j**2 + 6/35*j**5 - 1/2*j**3 - 1/98*j**7 + 0 + 46*j - 3/35*j**6. What is i in y(i) = 0?
-7, -1, 0, 1
Suppose -1 = -2*c + 67. Suppose 0 = 4*l + 3*l - 14. Solve 46 + t**3 - 4*t**3 - 9*t**l - c = 0.
-2, 1
Let v(r) = -r**3 - 11*r**2 - 25*r - 3. Let b be v(-14). Let q be 170/b + (38/(-77))/(-2). Solve 0 - 1/7*x**3 + q*x - 2/7*x**2 = 0 for x.
-3, 0, 1
Suppose 345*r = 104*r + 183*r + 232. Determine t, given that 2*t**5 - 12/5*t**3 + 66/5*t + 42/5*t**r + 18/5 - 124/5*t**2 = 0.
-3, -1/5, 1
Factor -k**2 + 0*k**2 + 1402*k**3 - 3*k**4 - 1387*k**3 - 6*k**4 + k**5 - 6*k**2.
k**2*(k - 7)*(k - 1)**2
Let k = 13 - 769/60. Let w(i) be the third derivative of 0 - 1/3*i**3 - k*i**5 + 0*i + 13/24*i**4 + 10*i**2. Solve w(o) = 0 for o.
2/11, 1
What is f in -1514*f - 1443*f + 2739*f - f**2 = 0?
-218, 0
Let u(w) be the first derivative of w**6/200 + w**5/50 - 21*w**4/40 + 9*w**3/5 - 24*w**2 - 241. Let z(g) be the second derivative of u(g). Factor z(r).
3*(r - 3)*(r - 1)*(r + 6)/5
Let a = -2706 + 5415/2. Let c(t) be the first derivative of a*t**4 + 0*t**3 + 9 - 9/5*t**5 + 1/2*t**6 + 0*t + 0*t**2. Suppose c(p) = 0. What is p?
0, 1, 2
Let t(o) be the third derivative of -o**5/70 - 1837*o**4/42 + 175*o**3/3 - 6420*o**2. Solve t(l) = 0.
-1225, 1/3
What is n in 3/5*n**4 - 3/10*n**3 - 28/5*n**2 + 1/10*n**5 - 24/5*n + 0 = 0?
-4, -1, 0, 3
Let k(u) be the first derivative of -109 + 0*u - 5*u**2 + 5/3*u**3. Find c such that k(c) = 0.
0, 2
Let d(z) be the second derivative of -z**4/42 + 13*z**3/3 - 348*z**2/7 - 2145*z. Solve d(g) = 0 for g.
4, 87
Let o(g) be the first derivative of -8/9*g**3 + 1/3*g**4 + 45 + 2*g - 2/3*g**2 + 2/15*g**5. Solve o(n) = 0.
-3, -1, 1
Let z(w) = -3*w**4 - 11*w**3 - 167*w**2 - 300*w - 144. Let a(y) = 5*y**4 + 3*y**3 + y**2. Let k(g) = a(g) + z(g). Find p such that k(p) = 0.
-6, -1, 12
Let l = 15878 - 15878. Let d(h) be the first derivative of -21 + 0*h**4 + 1/18*h**6 - 1/15*h**5 + 0*h**2 + 0*h**3 + l*h. Determine s, given that d(s) = 0.
0, 1
Let h(q) = -q**3 - 17*q**2 - 6*q + 30. Let c be h(-15). Let w be ((-110)/c)/(2/12). Factor 0 - 1/3*x**3 - x + 4/3*x**w.
-x*(x - 3)*(x - 1)/3
Let j(m) be the first derivative of -164 + 19/14*m**4 - 20/21*m**3 + 2/21*m**6 + 0*m - 22/35*m**5 + 0*m**2. Find z such that j(z) = 0.
0, 1, 2, 5/2
Let g(v) be the second derivative of -6*v - 9 - 1/4*v**4 + 2*v**3 + 0*v**2. Find k, given that g(k) = 0.
0, 4
Let h be 63/(-2*(-3)/4) + 1. Let 3*a**2 + 353 + 41*a + 325 - 90 + h*a = 0. What is a?
-14
Let b be (-608)/(-128) - (-77)/(-28). Let -k**2 + 9/2*k + b*k**4 - 1 - 9/2*k**3 = 0. What is k?
-1, 1/4, 1, 2
Suppose -253 = -3*y - 3*i - 217, -y - 3*i + 32 = 0. Solve -4/5*f**3 - 64/5 - 16*f - 32/5*f**y = 0.
-4, -2
Let z be 3 + ((-88)/66)/(-2 + 4) + 3. Let g(j) be the second derivative of 0 - 6*j**2 + z*j**3 + 21*j + j**4. Factor g(c).
4*(c + 3)*(3*c - 1)
Let m = -134824 + 134827. Factor -3*l**2 - 3/2*l**m + 0 - 2*l - 1/4*l**4.
-l*(l + 2)**3/4
Let x(h) = -h**2 + 5*h - 3. Let y be x(3). Factor -545*u**2 - u**y + 545*u**2.
-u**3
Factor -362 + 1032 - 773 + 100*d + 4*d**2 - 953.
4*(d - 8)*(d + 33)
Let h be 4/(-10) + 3/(-5) - (-360 + 359). Let l(f) be the third derivative of 0 + 0*f + 1/30*f**5 - 4*f**2 - 1/24*f**4 + h*f**3. Factor l(y).
y*(2*y - 1)
Let r(t) be the second derivative of t**4/12 + 7*t**3 + 441*t**2/2 + 1038*t. Factor r(c).
(c + 21)**2
Let l(o) be the second derivative of -13*o**5/140 + 115*o**4/84 + 3*o**3/7 + 4699*o. Factor l(d).
-d*(d - 9)*(13*d + 2)/7
Let t(b) be the first derivative of -4/5*b**2 + 98 + 0*b + 4/5*b**5 - 1/5*b**4 - 4/3*b**3 + 2/5*b**6. What is x in t(x) = 0?
-1, -2/3, 0, 1
Let i(m) be the first derivative of 16/3*m**3 - 188 - m**4 + 0*m - 6*m**2. Determine d, given that i(d) = 0.
0, 1, 3
Let j(w) = 18*w + w + 231 + 20*w - 6*w. Let o be j(-7). Let 0 + 2/3*a**4 - 2*a**2 - 4/3*a + o*a**3 = 0. What is a?
-1, 0, 2
Let q be ((-27)/162)/((-2)/36). Factor 12*c**4 + 64 - 4*c**5 + 105*c**q - 89*c**3 + 0*c**5 - 64*c**2.
-4*(c - 2)**3*(c + 1)*(c + 2)
Let z(n) = -n**5 + 2*n**4 + n**3. Let k(r) = -r**5 + 6*r**4 - 18*r**3 + 24*r**2. Let c(q) = k(q) - 2*z(q). Factor c(p).
p**2*(p - 2)**2*(p + 6)
Let j = -65394 - -65397. Solve 4/9*p**j + 20/9*p - 56/9 + 32/9*p**2 = 0 for p.
-7, -2, 1
Suppose 0 = 6*n - 91 + 19. Suppose y + t = -2, -n = 2*y - 0*y + 4*t. Factor -15*r**4 + 32*r**5 - y*r**3 + 7*r**3 - 10*r + 15*r**2 - 27*r**5.
5*r*(r - 2)*(r - 1)**2*(r +