0*z**5 + 1/18*z**4 + 1/9*z**3 - 1/3*z**2 + 0. Suppose c(q) = 0. Calculate q.
-1, 1
Let b(y) = -12*y**3 + 2732*y**2 - 7354*y + 4838. Let n(j) = -5*j**3 + 2*j**2 + 2*j - 1. Let d(x) = 2*b(x) - 44*n(x). Factor d(r).
4*(r + 30)*(7*r - 9)**2
Let t(g) = g**2 + 8*g - 10. Let z be t(7). Suppose 0*b = b - z. Suppose -b - 30 - 13*m**2 + 8*m**2 + 50*m = 0. What is m?
5
Let j(v) = -11*v - 8*v + 3*v**2 - 20 + 12*v - 24*v. Let h be j(11). Solve 4/3*r - 2/3*r**h - 2/3 = 0.
1
Let i be (((-10)/21)/(-5))/(74/6475). Solve i*n**2 - 112/3*n + 116/3 + 1/3*n**3 = 0.
-29, 2
Let l(u) be the third derivative of -u**8/840 - 2*u**7/75 + 31*u**6/300 - 8*u**5/75 + 1258*u**2. Solve l(v) = 0.
-16, 0, 1
Suppose 0*z = 2*z - 4, 4*r - 4*z - 64 = 0. Let d be (1*-1)/((-9)/r). Factor 2*m + 6 + 3*m**d - 6 - 2*m**2.
m*(m + 2)
Let m be 145/87 - 2/(-6). Suppose 0 = 9*y - 13*y + 28. Let -25*b**m - y - 8 - 35*b - 71*b**3 + 66*b**3 = 0. What is b?
-3, -1
Let p(l) be the first derivative of -l**7/168 + l**6/72 - 8*l**3/3 + 2*l - 77. Let a(i) be the third derivative of p(i). Factor a(y).
-5*y**2*(y - 1)
Factor 1880*l**4 - 12*l**3 - 11 - 1877*l**4 - 45*l**2 + 54*l + 11.
3*l*(l - 6)*(l - 1)*(l + 3)
Let t(s) be the first derivative of s**3/24 - 407*s**2 + 1325192*s - 1602. Suppose t(n) = 0. What is n?
3256
Let m(d) = -2*d**4 + d**3 - 2*d**2 - d + 1. Let z(w) = -16*w**4 - 2*w**3 + 68*w**2 - 102*w + 6. Let c(p) = 6*m(p) - z(p). Factor c(f).
4*f*(f - 2)**2*(f + 6)
Let a(v) = -35942*v**3 - 13028*v**2 - 1599*v - 69. Let w(j) = 35941*j**3 + 13036*j**2 + 1596*j + 68. Let c(m) = -4*a(m) - 5*w(m). Factor c(d).
-(33*d + 4)**3
Let k(a) be the first derivative of -a**6/5 + 22*a**5/25 - 16*a**3/5 - 16*a**2/5 + 77*a - 59. Let r(m) be the first derivative of k(m). Solve r(h) = 0.
-2/3, -2/5, 2
Suppose 80 = -0*c + 40*c. Suppose c + 38 = 10*g. Determine u, given that -1/2*u**3 - 1/4*u + 1/8*u**g + 5/8*u**2 + 0 = 0.
0, 1, 2
What is b in -422*b - 42 - 19/2*b**3 - 439/2*b**2 = 0?
-21, -2, -2/19
Let v be 34/(-15) - ((-222)/30 + 7). Let l = 11/5 + v. Determine d, given that -5/3*d**4 + 0 - l*d**2 - 2*d**3 + 0*d = 0.
-1, -1/5, 0
Let o(p) be the first derivative of 80 + 5/9*p**2 + 20/27*p**3 + 2/9*p**5 + 1/27*p**6 + 5/9*p**4 + 2/9*p. Factor o(d).
2*(d + 1)**5/9
Let -350*i + 22581*i**2 + 5000 - 45166*i**2 + 22590*i**2 = 0. Calculate i.
20, 50
Let y = 0 + 14. Suppose -5*u = -y*u. Find r such that 106*r + u*r**2 + 3*r**2 - 103*r = 0.
-1, 0
Find h such that -2/9*h**2 + 16/3 - 10/9*h = 0.
-8, 3
Let v = -4462 + 4469. Let r(k) be the third derivative of 0*k**4 + 0*k**3 - 1/420*k**6 + 0*k**5 + 0 + 0*k - 2/735*k**v - 1/1176*k**8 - 14*k**2. Factor r(h).
-2*h**3*(h + 1)**2/7
Let n be (-66)/(-105) + (-2)/10 - (-216)/672. Factor 1/4*v**4 + n*v**3 + 1/2*v**2 + 0 + 0*v.
v**2*(v + 1)*(v + 2)/4
Let p(l) be the third derivative of -l**6/40 - 49*l**5/5 - 9797*l**4/8 - 9409*l**3 - 185*l**2 + 4. Factor p(a).
-3*(a + 2)*(a + 97)**2
Let d(m) be the first derivative of -m**6/2160 + 11*m**5/120 + 67*m**4/144 + 79*m**3 - 167. Let a(y) be the third derivative of d(y). Let a(h) = 0. What is h?
-1, 67
Let j(q) = q**3 - 3*q**2 - 3*q + 2. Let x be j(4). Let t be 10 + x + -4 + -1. Let -3*y**2 - y**4 - 4*y**4 + t*y + 4*y**4 + 3*y**3 - 10*y = 0. Calculate y.
0, 1
Factor -2/9*l**3 - 128/3*l + 64 + 52/9*l**2.
-2*(l - 12)**2*(l - 2)/9
Let s(v) be the second derivative of -v**6/840 + v**5/210 + v**4/56 + 11*v**2/2 + 67*v. Let z(h) be the first derivative of s(h). Solve z(g) = 0.
-1, 0, 3
Let n be ((-42)/29)/(6/(-4)). Let q = -306/377 + n. Suppose 4/13*u + 0 + q*u**2 = 0. What is u?
-2, 0
Let l(r) be the third derivative of -37*r**5/40 + 41*r**4/16 - r**3 + 563*r**2 - 4*r. Find n such that l(n) = 0.
4/37, 1
Factor 1853*b**2 + 66867 + 497689 - b**3 + 292920 - 859328*b.
-(b - 926)**2*(b - 1)
Factor -364*f - 77*f**2 + 48*f**3 - 2*f**2 + 58*f**3 - f**2 - 110*f**3.
-4*f*(f + 7)*(f + 13)
Let y(a) be the third derivative of -a**5/90 - 7*a**4/6 - 80*a**3/9 + 752*a**2. Suppose y(f) = 0. Calculate f.
-40, -2
Factor 75*h - 123*h + 10*h**2 - 5*h**2 - 162*h - 1175.
5*(h - 47)*(h + 5)
Let l(z) = 8*z**2 - 3186*z + 1283205. Let f(x) = -46*x**2 + 19122*x - 7699229. Let w(r) = -6*f(r) - 34*l(r). Find a, given that w(a) = 0.
801
Let y be 1/(5 + 0 + (-28)/6). Factor -24*h - 114 + 4 + 10*h**y - 191*h - 100*h**2 - 5*h**3.
5*(h - 22)*(h + 1)**2
Determine b so that -1815*b**5 + 11*b**4 + 5431*b**5 - 1810*b**5 - 1805*b**5 - 42*b**3 = 0.
-14, 0, 3
Let c(n) = -4*n + 98. Let p be c(23). Factor -2*s**2 - 4*s - p*s + 5*s + 0*s**2 - 11*s.
-2*s*(s + 8)
Solve -69*q**2 + 0 - 3/4*q**5 - 135/2*q**4 + 0*q + 549/4*q**3 = 0 for q.
-92, 0, 1
Let q be (-9)/6*(-3 - -1)*1. Suppose -q + 28 = 5*r. Suppose 107*x**4 + 36*x - 21*x**3 - 107*x**4 + 24 + 3*x**r - 6*x**2 = 0. Calculate x.
-2, -1, 2
Let c(o) be the first derivative of o**4/8 - 13*o**3/3 - 27*o**2/4 + 3306. What is b in c(b) = 0?
-1, 0, 27
Let q be (2/3)/((-6)/(-18)*2). Let s(d) = 5*d**2 + 2*d - 3. Let a be s(q). Find w, given that 77/2*w**3 + 22*w - a - 16*w**4 - 43*w**2 + 5/2*w**5 = 0.
2/5, 1, 2
Let d = -3 + 6. Suppose -285*i = 63*i - 150 - 546. Suppose 2/5*f**d + 8/5*f**i + 12/5 - 22/5*f = 0. Calculate f.
-6, 1
Let d be 140/(-18)*384/(-896). Let q(z) be the first derivative of -1/2*z**4 - d*z**3 - 10 + 18*z - 3*z**2. Find u such that q(u) = 0.
-3, 1
Let k = -5364 - -5383. Let i(b) be the second derivative of -1/42*b**4 + 1/105*b**6 + 0*b**2 + 0 - 1/35*b**5 + 2/21*b**3 + k*b. Factor i(y).
2*y*(y - 2)*(y - 1)*(y + 1)/7
Let b(h) be the second derivative of -h**4/18 - 320*h**3/3 - 76800*h**2 - h - 924. Factor b(d).
-2*(d + 480)**2/3
Let o(r) = -6*r**4 + 343*r**3 - 1265*r**2 - 36538*r - 17. Let b(m) = 2*m**4 - 116*m**3 + 422*m**2 + 12180*m + 6. Let l(v) = 17*b(v) + 6*o(v). Factor l(a).
-2*a*(a - 26)**2*(a + 9)
Suppose -541*i + 105*i + 1232 = 180*i. Factor 2*j + 2*j**3 + 1/2 + 3*j**i + 1/2*j**4.
(j + 1)**4/2
Let h(d) be the first derivative of -d**5/15 - 7*d**4/9 - 18*d + 63. Let b(f) be the first derivative of h(f). Factor b(t).
-4*t**2*(t + 7)/3
Let p = -5320 + 31925/6. Let a(k) be the second derivative of 5/6*k**3 + p*k**4 + 0*k**5 - 5/42*k**7 + 0*k**2 - 1/3*k**6 - 5*k + 0. Find j such that a(j) = 0.
-1, 0, 1
Let q be (-11)/(-44) - 470/(-8). Suppose -d = -q - 0. Factor d*c**2 - 6*c - 63*c**2 - 6*c.
-4*c*(c + 3)
Let g(a) = 2*a**3 - 10*a**2 - 30*a + 22. Let b(k) = 9*k**3 - 55*k**2 - 151*k + 109. Let l(f) = -2*b(f) + 11*g(f). Factor l(y).
4*(y - 2)*(y - 1)*(y + 3)
Let b(k) be the third derivative of k**5/12 + k**4/6 - 7*k**3/6 + 2*k**2. Let c be b(3). Factor -5*m**4 - c*m**3 + 2*m**4 + 59*m**3.
-3*m**3*(m - 3)
Let g be (-1 + (-14)/(-6))/(12/18). Factor 38*h - 6*h - 5*h**3 + 35*h**g - 27*h - 35.
-5*(h - 7)*(h - 1)*(h + 1)
Suppose -4*n + 654 = 2*k, 0 = -2*k + 2*n + 274 + 368. Let j = 323 - k. Solve -9/7*p**2 + 6/7*p + j + 3/7*p**3 = 0 for p.
0, 1, 2
Factor 3/5*v**3 - 222/5*v - 21/5*v**2 + 504/5.
3*(v - 12)*(v - 2)*(v + 7)/5
Let m(x) be the second derivative of x**8/1848 + x**7/231 + x**6/165 - 59*x**2 + 3*x + 7. Let j(r) be the first derivative of m(r). Solve j(i) = 0.
-4, -1, 0
Let q(t) be the first derivative of 16/21*t**3 - 8/7*t**2 + 0*t - 1/7*t**4 + 75. Find r, given that q(r) = 0.
0, 2
Factor -65*u + 38*u - 29*u + 56 - 68*u**2 - 4*u**3 + 72.
-4*(u - 1)*(u + 2)*(u + 16)
Let x(b) be the third derivative of b**6/24 + b**5/3 + 5*b**4/6 - 10*b**3 - 3*b**2 + 6*b. Let n(i) be the first derivative of x(i). Solve n(f) = 0.
-2, -2/3
Let u(y) = 5*y**3 + 26*y**2 - 42*y + 3. Let z(q) = -7*q**3 - 25*q**2 + 38*q - 4. Let g(s) = -4*u(s) - 3*z(s). Find j such that g(j) = 0.
0, 2, 27
Let g(t) be the first derivative of -5*t**3/21 - 11*t**2/14 - 6*t/7 - 138. Find l such that g(l) = 0.
-6/5, -1
Let s(f) be the first derivative of -f**6/12 - 2*f**5/5 + 29*f**4/8 - 14*f**3/3 - 7*f**2 + 16*f - 2895. Find x, given that s(x) = 0.
-8, -1, 1, 2
Let h(s) be the second derivative of s**5/2 - 23*s**4/36 + s**3/9 - 2*s + 26. Let h(x) = 0. What is x?
0, 1/10, 2/3
Let b be 9 - (-31 + -1)/(-8). Factor 6*a**2 - 12*a**2 + b*a**2 - 2*a - 7 - 6*a.
-(a + 1)*(a + 7)
Factor 2/7*p**2 + 274/21*p - 92/21.
2*(p + 46)*(3*p - 1)/21
Let x(i) = i**3 - i. Let g(r) be the second derivative of -5*r**2 + 0 - 10/3*r**3 - 17*r + 0*r**4 + 1/2*r**5. Let v(c) = -g(c) + 5*x(c). Factor v(s).
-5