157904*r**2/3 + 322624*r - 3018. Suppose h(y) = 0. Calculate y.
-3, 284
Let x(b) be the second derivative of -b**5/30 + 118*b**4/9 - 13924*b**3/9 - 3338*b - 1. Find j, given that x(j) = 0.
0, 118
Suppose -j + r - 21 = 0, -j + 2*r = -r + 13. Let o = 28 + j. Determine g, given that -15 + 8*g**o - 10*g**3 - 5*g + 15*g**2 + 7*g**3 = 0.
-3, -1, 1
Let x(f) be the second derivative of 42*f + 6/17*f**2 + 0 - 1/102*f**4 + 5/51*f**3. Factor x(w).
-2*(w - 6)*(w + 1)/17
Let i = 1200444 + -1200439. Factor 1/5*k + 6/5*k**3 + 4/5*k**2 + 4/5*k**4 + 0 + 1/5*k**i.
k*(k + 1)**4/5
Factor -4*u**4 - 479*u**2 + 2592 + 70*u**3 + 70*u**3 + 462*u**2 - 1584*u - 1127*u**2.
-4*(u - 18)**2*(u - 1)*(u + 2)
Let n(s) = -s**3 + 2*s + 4. Let w be n(0). Let u(g) be the first derivative of 33 - 6/5*g**2 + 1/20*g**w + 0*g**3 - 16/5*g. Factor u(v).
(v - 4)*(v + 2)**2/5
Let r = 14680 - 14675. Let f(h) be the second derivative of -1/80*h**r + 0 - 3/4*h**2 + 11/24*h**3 - 1/12*h**4 + 26*h. Suppose f(u) = 0. What is u?
-6, 1
Let r be 3/7 + 20/(-70). Let f(h) = 13*h + 598. Let b be f(-46). Solve -r*a**4 + b + 4/7*a**2 + 4/7*a - 1/7*a**3 = 0.
-2, -1, 0, 2
Let c(s) = s**2 + s + 2. Let i(o) = -5*o - 2. Suppose 13*n = 16 + 36. Let j(d) = n*c(d) + 4*i(d). Factor j(w).
4*w*(w - 4)
Factor 1951*p + 503283 + 5*p**2 - 4511*p - 1520*p - 302164 + 631201.
5*(p - 408)**2
Let l be 86/20 + (1/((-2)/16) - -4). Let y(t) be the third derivative of 2/3*t**3 - 1/4*t**4 + 1/35*t**7 - l*t**5 + 0*t + 0 - 1/60*t**6 + 8*t**2. Factor y(o).
2*(o - 2)*(o + 1)**2*(3*o - 1)
Suppose 4*g - 2*g = -10. Let v(c) = 2*c**2 + 10*c + 2. Let o be v(g). Factor 19*t**2 - t**5 - t**5 - 16 - 90*t**2 - 50*t**3 - 5*t**o - 56*t - 16*t**4.
-2*(t + 1)**2*(t + 2)**3
Suppose -40168*k + 24 = -40156*k. What is h in 9*h - 15/4*h**5 + 39/2*h**k - 6 - 27/2*h**4 - 21/4*h**3 = 0?
-2, -1, 2/5, 1
Let b(f) be the first derivative of -5*f**4/4 - 10*f**3 + 245*f**2/2 - 330*f - 558. Find p, given that b(p) = 0.
-11, 2, 3
Factor -839 + 347*q - 193 + 425*q**2 - 231*q**2 - 195*q**2.
-(q - 344)*(q - 3)
Let d(r) be the first derivative of r**5/10 + 7*r**4/6 + 4*r**3/3 - 12*r**2 - 221*r + 122. Let x(c) be the first derivative of d(c). Factor x(a).
2*(a - 1)*(a + 2)*(a + 6)
Let q(n) = -38*n**2 + 132*n + 65. Let v(b) = 2*b**2 - 5. Let o(l) = -q(l) - 5*v(l). Factor o(k).
4*(k - 5)*(7*k + 2)
Factor 4 - 36*r**3 + 4*r**4 - 1201*r**2 + 590*r**2 + 36*r + 567*r**2 + 36.
4*(r - 10)*(r - 1)*(r + 1)**2
Let o(a) = 14*a**3 - 79*a**2 - 1584*a + 7774. Let i(m) = 3*m**3 + m**2 + 6. Let c(v) = -5*i(v) + o(v). Solve c(s) = 0.
-44, 4
Let i(s) = -4*s**3 - 78*s**2 + 9*s - 9. Let f = -338 + 329. Let c(l) = -l**3 - 19*l**2 + 2*l - 2. Let t(n) = f*c(n) + 2*i(n). Suppose t(j) = 0. What is j?
-15, 0
Solve 142*h**3 + 201*h**5 - 176*h**2 + 213*h**5 - 416*h - 426*h**5 - 28*h**4 + 106*h**3 + 384 = 0 for h.
-6, -4/3, 1, 2
Suppose 3/4*r**5 - 4*r + 0 - 1/2*r**4 - 10*r**2 - 29/4*r**3 = 0. Calculate r.
-4/3, -1, 0, 4
Let a(i) = -6912*i + 41472. Let m be a(6). Factor m*y - 18/11*y**2 - 6/11*y**3 + 24/11.
-6*(y - 1)*(y + 2)**2/11
Suppose 143*b - 139*b = -100. Let g(v) = 710*v**2 + 1055*v - 530. Let o(x) = -59*x**2 - 88*x + 44. Let d(m) = b*o(m) - 2*g(m). Factor d(w).
5*(w + 2)*(11*w - 4)
Let g be -1*((-16)/128 + (-46)/16). Factor 284*y**2 - 92*y - 56 - 2*y**3 - 2*y**g - 324*y**2.
-4*(y + 1)*(y + 2)*(y + 7)
Suppose 0 = 3*c + 6*c - 27. Suppose 0*q**2 + q**4 - 5*q**c + 4 - 7*q**5 + 4*q - 5*q**2 + 8*q**5 = 0. What is q?
-2, -1, 1, 2
Let c(g) be the first derivative of -g**6/6 - 7*g**5/5 - 11*g**4/4 + 7*g**3/3 + 6*g**2 + 907. Let c(z) = 0. Calculate z.
-4, -3, -1, 0, 1
Factor 119*f**3 + 127*f**3 - 24*f - 295*f**3 + 136*f**3 + 342*f**2.
3*f*(f + 4)*(29*f - 2)
Let y(x) = 2*x - 3. Let c(v) = 5*v**3 - 75*v**2 - 15*v + 90. Let f(g) = -c(g) - 5*y(g). Find m, given that f(m) = 0.
-1, 1, 15
Let r(h) be the first derivative of -8/15*h**5 - 1/2*h**4 + 0*h + 60 + 0*h**2 + 0*h**3 - 1/9*h**6. Factor r(l).
-2*l**3*(l + 1)*(l + 3)/3
Let h(r) be the third derivative of 37*r**2 + 1/28*r**7 + 0*r - 5/24*r**6 + 0 + 1/12*r**5 + 15/16*r**4 - 25/12*r**3 + 5/672*r**8. Find n such that h(n) = 0.
-5, -1, 1
Let v(m) = 7*m**2 - 7*m - 10. Let b be v(5). Let y be (b/(-15) - -8)*(-9)/15. What is d in 2/5*d - 2/5*d**3 - y + 2/5*d**2 = 0?
-1, 1
Let q(i) be the second derivative of -i**6/320 + 7*i**5/160 - i**4/8 - i**3 + 46*i**2 + 6*i - 3. Let g(h) be the first derivative of q(h). Solve g(p) = 0.
-1, 4
Determine c so that 221/8*c + 73/4 + 19/2*c**2 + 1/8*c**3 = 0.
-73, -2, -1
Let j be (2198/(-441))/(8/6*1). Let q = -25/7 - j. Factor 1/2*b**2 - q*b**3 + 1/6 - 1/2*b.
-(b - 1)**3/6
Let u be 4 + 5 + 3 + -2. Suppose 0 = 2*j - j - u. Determine w so that -8 + 4*w - w**3 - 3*w**3 + 18*w**2 - j*w**2 = 0.
-1, 1, 2
Let j(q) be the first derivative of q**4/30 + 1784*q**3/45 + 198916*q**2/15 - 1240. Determine k, given that j(k) = 0.
-446, 0
Solve -448/15 + 2/15*z**2 - 446/15*z = 0.
-1, 224
Let r = 11518 + -11512. Let g(z) be the second derivative of 0*z**4 - 1/6*z**3 + 0*z**2 + 3/80*z**5 + 1/120*z**r + 0 + 36*z. Factor g(c).
c*(c - 1)*(c + 2)**2/4
Suppose -462970*q + 463023*q - 159 = 0. Determine g, given that -4/7*g**2 + 6/7*g + 4/7 + 2/7*g**5 - 8/7*g**q + 0*g**4 = 0.
-1, 1, 2
Let m = -3132 + 93961/30. Let k(y) be the second derivative of 1/15*y**3 + 0*y**2 - 7/60*y**4 + 0 - 14*y - m*y**6 + 9/100*y**5 + 1/210*y**7. Factor k(h).
h*(h - 2)*(h - 1)**3/5
Let o(d) be the first derivative of -2*d**3/3 - 107*d**2 - 828. Factor o(i).
-2*i*(i + 107)
Let k(i) be the second derivative of 17/30*i**4 - 1/75*i**6 - 261*i + 0 - 36/5*i**2 - 1/50*i**5 + 7/5*i**3. Find c such that k(c) = 0.
-3, 1, 4
Let w(z) be the first derivative of z**7/4200 - 7*z**6/1800 - 3*z**5/100 - 5*z**3/3 + z + 39. Let t(b) be the third derivative of w(b). What is n in t(n) = 0?
-2, 0, 9
Determine x so that -97209*x**2 + 750*x**3 + 385*x**4 + 97209*x**2 + 5*x**5 = 0.
-75, -2, 0
Suppose 3*h - 5*p + 19 = 0, -h = -p + 6*p - 27. Suppose u + 14 = h*u. Factor -u*y**2 - 20 - 16*y**2 + 2*y**2 + 44*y + 4*y**3.
4*(y - 5)*(y - 1)**2
Let m(t) = t**3 - 4*t**2 - 5*t. Let y(p) = -94*p**2 + 1 + 94*p**2 + p**3. Let a(l) = -3*m(l) + 6*y(l). What is w in a(w) = 0?
-2, -1
Find d such that -637 + 0*d**3 - 3*d**3 + 208 + 2*d**3 + 234*d**2 - 665*d**2 - 859*d = 0.
-429, -1
Let b(j) be the third derivative of j**5/420 - 3*j**4/56 - 5*j**3/3 + 8599*j**2. Let b(n) = 0. What is n?
-5, 14
Determine y so that -1/6*y**4 - 1/6*y**3 + 1/6*y + 1/2*y**2 - 1/3 = 0.
-2, -1, 1
Let l(h) = -h**2 + h + 2. Let q(i) = -3*i**4 - 38*i**3 - 23*i**2 - i - 2. Let k(p) = 3*l(p) + 3*q(p). Factor k(y).
-3*y**2*(y + 12)*(3*y + 2)
Let p(k) be the second derivative of k**7/14 + 3*k**6/10 - 27*k**5/4 - 103*k**4/4 + 162*k**3 - 270*k**2 - 1008*k + 7. Suppose p(s) = 0. What is s?
-6, -5, 1, 6
Let w(r) be the second derivative of r**4/4 + 464*r**3 + 322944*r**2 + 2140*r. Factor w(j).
3*(j + 464)**2
Let g(d) = -2*d**5 - 9*d**4 + 6*d**3 + 5*d**2. Let q(l) = l**5 - l**2. Suppose 0 = -5*b - 0 + 5. Let h(m) = b*g(m) + 5*q(m). Factor h(u).
3*u**3*(u - 2)*(u - 1)
Let c(g) be the first derivative of -3/20*g**5 + 2*g + 3/2*g**2 + 3/4*g**4 + 10 - 3/2*g**3. Let k(m) be the first derivative of c(m). Factor k(b).
-3*(b - 1)**3
Let d(f) be the second derivative of f**7/210 + f**6/50 - 3*f**5/50 - f**4/6 + 7*f**3/10 - 9*f**2/10 + 287*f. Factor d(u).
(u - 1)**3*(u + 3)**2/5
Let h be (-18)/4*10/(-3) - (-5688)/(-395). Factor -24/5*j**4 + 0*j + 36/5*j**3 + 0*j**2 + 0 + h*j**5.
3*j**3*(j - 6)*(j - 2)/5
Let g = 11 - 39. Let d be (103/2)/(4 + g/8). Factor 20*v**4 + d*v**3 + 3*v - 5 - 28*v - 15*v**2 - 78*v**3.
5*(v - 1)*(v + 1)**2*(4*v + 1)
Let i be (-45)/2*(-42)/35. Factor -40*l - i*l**2 + 168*l**2 - 45*l**2 - 54*l**2 - 2.
2*(l - 1)*(21*l + 1)
Let u(o) be the first derivative of 0*o + 5/3*o**3 - 20 - 25*o**2. Factor u(p).
5*p*(p - 10)
Suppose 0 = 21*o - 66*o - 180. Let a be ((-2)/o)/(60/880). Let 8/3 - 2*t**3 - 16/3*t - a*t**2 = 0. Calculate t.
-2, 1/3
Let x(y) be the second derivative of y**6/120 + y**5/6 + 7*y**4/6 + 4*y**3 - 63*y**2 - 64*y. Let p(g) be the first derivative of x(g). Factor p(l).
(l + 2)**2*(l + 6)
Let h = 66 + -65. Let z be 4/(-6)*(-18)/h + 2. Factor k**4 + z*k**4 + 5*k**3 - 7*k + 7*k.
5*k**3*(3*k + 1)
Let z(w) be the third derivative of -