= 0. Calculate n.
-6, -1/2
Let p(r) be the first derivative of 35*r**4/4 - 335*r**3/3 + 380*r**2 - 460*r - 5417. Let p(c) = 0. Calculate c.
1, 2, 46/7
Factor 189*k**2 + 12 - 23*k + 7*k - 182*k**2 - 3.
(k - 1)*(7*k - 9)
Let k(v) be the first derivative of v**5/15 + 28*v**4/3 + 221*v**3/9 + 55*v**2/3 - 779. Find d such that k(d) = 0.
-110, -1, 0
Determine u, given that -306/5*u**2 + 12/5*u + 93/5*u**3 + 3/5*u**4 + 408/5 = 0.
-34, -1, 2
Let b(g) = 88*g**3 - 1001*g**2 - 3112*g + 1386. Let w(c) = -63*c**3 + 714*c**2 + 2223*c - 990. Let z(n) = 12*b(n) + 17*w(n). What is h in z(h) = 0?
-3, 2/5, 11
Let u = 4565/2 - 2282. Let t(k) be the third derivative of 3/40*k**6 + 0 + 0*k**3 - u*k**4 - 1/70*k**7 + 7*k**2 + 0*k + 0*k**5. Find q such that t(q) = 0.
-1, 0, 2
Let z(k) be the third derivative of k**5/270 + 13*k**4/6 + 1977*k**2. Solve z(g) = 0 for g.
-234, 0
Suppose 0 = 4031*u + 3043*u - 21222. Determine n, given that -15 - 27/2*n**2 - 3/4*n**u + 117/4*n = 0.
-20, 1
Let g be 24/20*(-80)/(-18) + -5. Let v(h) be the first derivative of g*h**2 + 1/18*h**4 + 2/9*h + 23 + 2/9*h**3. Suppose v(u) = 0. What is u?
-1
Let p(x) be the third derivative of -x**6/720 + 13*x**5/180 + 55*x**4/144 + 7*x**3/9 - 85*x**2 + 6. Suppose p(w) = 0. What is w?
-1, 28
Suppose 34*c = 814 - 100. Factor 3*n**2 - 26 + 43 - c + n**3.
(n - 1)*(n + 2)**2
Let q(x) be the first derivative of -1/5*x**2 + 83 - 2/15*x**3 + 4/5*x. Factor q(j).
-2*(j - 1)*(j + 2)/5
Let a(f) = f**2 + 8*f + 31. Let w be a(-5). Suppose -w*q + 16 = -16. Factor -10/7*o**3 + 8/7*o**4 + 2/7*o**q + 0 + 0*o.
2*o**2*(o - 1)*(4*o - 1)/7
Suppose -13*c - 1407 = -11*c + y, 5*y = 3*c + 2117. Let d = c - -4934/7. Suppose d*m**2 - 12/7 - 2*m = 0. What is m?
-2/3, 3
Let f = -1532 + 1540. Suppose 635 = 3*w - 4*y, 0*w - w - 4*y + 185 = 0. Let -w + f*m**2 + 205 - 3*m**3 - 4*m = 0. What is m?
0, 2/3, 2
Find h such that -34*h**2 + 34/5*h**3 - 36 - 2/5*h**4 + 318/5*h = 0.
1, 3, 10
Suppose -17*f + 2 = -16*f - 2*v, 0 = f + 2*v - 2. Suppose -4*t - f = -2*j, -36*j - t = -40*j + 11. Factor 0 + 2/5*d + 2/5*d**j + 4/5*d**2.
2*d*(d + 1)**2/5
Let w = 61 - 60. Let h be (w + 63/6)/(1/2). Let 4 - 26*m - 8*m**3 + 16*m - h*m**2 + m**2 = 0. Calculate m.
-2, -1, 1/4
Let h(i) be the second derivative of i**6/150 + 93*i**5/25 + 17111*i**4/30 - 11594*i**3/5 + 34969*i**2/10 + 5*i + 1172. Suppose h(g) = 0. What is g?
-187, 1
Suppose 5*b - 3*v + 5 = 0, -10*v + 14 = -3*b - 6*v. Suppose 2*i = b*w + 4, -w = -2*w + 4*i - 14. Determine q, given that -2*q**w - 2/3*q**3 + 0*q + 8/3 = 0.
-2, 1
Let q(z) = -z**2 + 48*z + 60. Let m(x) = -2*x**2 + 6*x. Let n(j) = -2*m(j) + q(j). What is b in n(b) = 0?
-10, -2
Suppose 1841*q + 57 = 3*t + 1838*q, 10*q + 150 = 0. Factor 2/3*l**t + 2/3*l - 2/3*l**2 - 2/3*l**3 + 0.
2*l*(l - 1)**2*(l + 1)/3
Factor -140 - 250 + 115*y - 44845*y**2 + 44850*y**2.
5*(y - 3)*(y + 26)
Let u(f) = f**3 + 2*f**2 + 11*f + 37. Let p be u(-11). Let a = p - -1176. Factor -7/5*b**a - 2/5*b**2 + 2/5 + 7/5*b.
-(b - 1)*(b + 1)*(7*b + 2)/5
Let o(v) = 4*v**5 + 7*v**4 + v. Let c(a) = 123*a**5 + 261*a**4 + 252*a**3 + 444*a**2 + 270*a. Let x(z) = c(z) - 30*o(z). Find d, given that x(d) = 0.
-10, -4, -2, -1, 0
Let l(m) be the third derivative of -8/27*m**3 - 1/1512*m**8 - 4/315*m**7 + 0*m - 21*m**2 - 11/36*m**4 - 19/270*m**6 + 0 - 26/135*m**5. Factor l(o).
-2*(o + 1)**4*(o + 8)/9
Let a(z) = 4*z**2 - z - 6. Let u be a(2). Suppose -11*h**2 - 2187 + 49*h + u*h**2 + 113*h = 0. What is h?
27
Let h be -7 - 100/4510*-316. Let p = 947/6765 - h. Factor -8/15*z**2 + 2/5 - p*z.
-2*(z + 1)*(4*z - 3)/15
Let l = 188111/5 + -37621. Factor -l*v**3 + 3/5*v**4 - 3/5*v**2 + 0 + 6/5*v.
3*v*(v - 2)*(v - 1)*(v + 1)/5
Let j(a) be the first derivative of 5*a**3/3 - 125*a**2 - 520*a - 1641. Factor j(m).
5*(m - 52)*(m + 2)
Suppose 2*z - 5 = -3*v, 4*v + 0*z = 3*z - 16. Let f be 6 + (-3 - v) + -1. Determine r so that f*r**2 + 48*r - 30*r + 38 - 11 = 0.
-3
Factor 32*o**4 - 86*o**4 - 9*o**3 - 14*o**2 - 40*o**2 + 57*o**4.
3*o**2*(o - 6)*(o + 3)
Factor 90/11 + 36/11*y + 2/11*y**2.
2*(y + 3)*(y + 15)/11
Let y = 1272 - 2035. Let v = 4579/6 + y. Factor v*z**5 + 0 + 5/6*z**3 + 2/3*z**4 + 1/3*z**2 + 0*z.
z**2*(z + 1)**2*(z + 2)/6
Let h(b) be the third derivative of b**7/350 - 13*b**6/100 + 2*b**5 - 56*b**4/5 + b**2 - 299*b + 5. Factor h(d).
3*d*(d - 14)*(d - 8)*(d - 4)/5
Let x = 235 - 230. Factor 5*g**2 - 20 - 30*g - 35 - x + 10*g.
5*(g - 6)*(g + 2)
Let q = 371282 + -4826624/13. What is v in 0 - q*v**3 + 294/13*v**2 - 686/13*v + 2/13*v**4 = 0?
0, 7
Let n(s) be the first derivative of s**5/5 + 46*s**4 + 8087*s**3/3 - 17390*s**2 + 26508*s - 1088. Factor n(r).
(r - 3)*(r - 1)*(r + 94)**2
Let h(p) = -10*p**2 + 579*p + 491. Let f(n) = -3*n**2 + 192*n + 167. Let c(l) = -21*f(l) + 6*h(l). Determine t, given that c(t) = 0.
-1, 187
Suppose 12/5*b**3 - 11/5*b - 1/5*b**5 - 4/5*b**4 + 34/5*b**2 - 6 = 0. What is b?
-5, -2, -1, 1, 3
Let l be -23 + ((-6)/(-4))/((-1329)/(-22150)). Find v such that 17/3*v + 0 + 1/3*v**l = 0.
-17, 0
Let n(z) be the first derivative of z**4/14 + 142*z**3/21 + 880*z**2/7 - 28800*z/7 + 852. Determine f so that n(f) = 0.
-40, 9
Let x be (-2)/56*(28 + 5 + -34). Let o(i) be the second derivative of 8*i - x*i**4 + 0*i**3 + 6/7*i**2 + 0. Suppose o(w) = 0. Calculate w.
-2, 2
Let g(n) = -n**3 + 77*n**2 - 631*n + 1325. Let k be g(68). Determine a, given that -16/7*a**4 + 10/7 + k*a**2 - 136/7*a**3 - 89/7*a = 0.
-10, 1/4, 1
Let d(n) be the first derivative of 2*n**5/15 - n**4/6 - 56*n**3/9 - 20*n**2/3 + 32*n + 3583. Find h such that d(h) = 0.
-4, -2, 1, 6
Let u(c) be the first derivative of c**5 - 65*c**3/3 - 30*c**2 - 3138. Factor u(d).
5*d*(d - 4)*(d + 1)*(d + 3)
Let z = -44 - -46. Let -1944*p - 70*p**2 - 82*p**2 - z*p**3 - 6502 + 44*p**2 - 5162 = 0. What is p?
-18
Suppose 0 = -68*f + 71*f - 39918. Solve -5*b**2 + 13266*b - f*b - 60 + b**2 - b**2 = 0.
-6, -2
Let n(h) be the second derivative of h**6/165 - 101*h**5/55 + 100*h**4/33 + 202*h**3/33 - 201*h**2/11 - 1837*h - 2. What is g in n(g) = 0?
-1, 1, 201
Let h(d) be the third derivative of -25/8*d**4 + 0 + 0*d + 117*d**2 + 65/3*d**3 + 1/12*d**5. Factor h(o).
5*(o - 13)*(o - 2)
Let r(f) = 70*f - 146. Let s be r(9). Let i = 4358/9 - s. Determine b so that 2/3*b - i*b**2 - 4/9 = 0.
1, 2
Solve -30372 + 6399*h - 55208*h**2 - 12500*h**3 + 464*h**4 - 4*h**5 - 77439*h + 1572 = 0 for h.
-2, -1, 60
Let y be ((-18)/(-10))/((-2)/(-5)). Let f be ((-1)/(-3))/((-1)/21) - (0 + -9). Factor -y*q - 3/2*q**f - 3.
-3*(q + 1)*(q + 2)/2
Let k(r) be the first derivative of r**7/490 + r**6/70 + r**5/28 + r**4/28 + 49*r**2/2 - 35. Let v(o) be the second derivative of k(o). Let v(m) = 0. What is m?
-2, -1, 0
Let f be (-3)/(-135)*3*6. Let t = -30008 + 30011. Solve f*y**t - 2/5*y**4 + 0*y + 0*y**2 + 0 = 0 for y.
0, 1
Let j = -7714 + 208280/27. Let n(y) be the first derivative of 0*y + 5 - j*y**3 - 2/3*y**2. Factor n(q).
-2*q*(q + 6)/9
Suppose 5*o + 25 = -3*y + y, 0 = -4*y - 2*o - 10. Let u(w) be the second derivative of 27*w + 1/36*w**3 + y + 1/2*w**2 - 1/12*w**4 - 1/120*w**5. Factor u(a).
-(a - 1)*(a + 1)*(a + 6)/6
Let p(f) be the second derivative of 34/21*f**4 - 19/35*f**5 - 25*f + 18/7*f**2 - 19/7*f**3 + 2/21*f**6 + 0 - 1/147*f**7. Find b, given that p(b) = 0.
1, 2, 3
Let b(c) = 353*c - 32862. Let z be b(94). Factor -z*f**2 - 1280/3*f + 0 - 5/3*f**5 + 20*f**4 - 20/3*f**3.
-5*f*(f - 8)**2*(f + 2)**2/3
Let z(n) be the third derivative of n**7/420 - 3*n**6/20 + 23*n**5/40 - 17*n**4/24 + 5224*n**2. Find r such that z(r) = 0.
0, 1, 34
Let b(z) be the second derivative of -z**6/540 + z**5/180 + 5*z**3/6 - 5*z**2/2 + 29*z. Let o(a) be the second derivative of b(a). Solve o(j) = 0.
0, 1
Let 184*g - 850/7*g**3 + 125/7*g**4 + 288/7 + 1060/7*g**2 = 0. Calculate g.
-2/5, 18/5, 4
Let g be 225 - 1*(2 - -5). Let c = g + -216. Find x, given that 1/5*x**c + 0 - 3/5*x = 0.
0, 3
Solve -6/17*m**3 - 100/17 - 118/17*m**2 - 210/17*m + 2/17*m**4 = 0 for m.
-5, -1, 10
Let j be (-3)/(-1) + -14 + 17. Find f such that -5 + f - f**3 + j*f + 11 - 2*f - 2*f**2 = 0.
-3, -1, 2
Let x = -7 - -7. Let d be (x + -4)/4 + 3. Determine u, given that 12*u + 5*u**d - 5*u - 15 + 3*u = 0.
-3, 1
Let f(v) = 14*v - 263. Let a be f(19). Suppose 2*q - 4*g + 8 = 4, 0 = q + 3*g - 3. Suppose 0*z + q + 2/13*z**a -