398*h**c + 199*h**2 - 4*h**3 = 0.
-3, -1, 0
Let a(u) be the first derivative of 0*u + 1/10*u**6 + 0*u**2 + 0*u**3 + 0*u**4 + 9/25*u**5 - 29. Solve a(b) = 0.
-3, 0
Suppose 1/2*d - 1/2*d**3 + 50*d**2 - 50 = 0. What is d?
-1, 1, 100
Factor 0 + 3200*r + 1/2*r**4 + 3120*r**2 - 159/2*r**3.
r*(r - 80)**2*(r + 1)/2
Suppose 19*l + 48 = 23*l. Factor -l - 27*k**2 - 27*k**2 + 56*k**2 + 10*k.
2*(k - 1)*(k + 6)
Let y(x) be the third derivative of -x**8/26880 - x**7/1344 + x**6/160 + 19*x**5/30 - 8*x**2 + 7. Let k(i) be the third derivative of y(i). Factor k(m).
-3*(m - 1)*(m + 6)/4
Let q = -1/37266 + 1453379/186330. Factor 3/5*a**2 + 0 + q*a.
3*a*(a + 13)/5
Let z(r) be the second derivative of -9*r**5/100 + 4*r**4/5 - 21*r**3/10 + 20*r + 26. Find d such that z(d) = 0.
0, 7/3, 3
Let s(j) be the third derivative of 0*j + 59*j**2 + 0 - 1/5*j**6 + 7/2*j**3 + 1/210*j**7 - 8/3*j**4 + 11/10*j**5. Factor s(v).
(v - 21)*(v - 1)**3
Let c be ((-116)/(-290))/((-10)/(-25) - (-22)/(-75)). Let h be (4/(-8) - -3)*1. Find g such that c*g**2 - 5/4*g**3 - 5/4*g**4 + 5/4*g - h = 0.
-2, -1, 1
Let p(b) be the first derivative of -b**4/4 + 3*b**3 + 21*b**2/2 + 13*b + 15. Let v be p(11). Factor -2*z**3 - z**4 - 2*z**4 + 3*z**3 + 6*z**v + 2*z**3.
-3*z**2*(z - 2)*(z + 1)
Let v = -61 - -89. Let c = v + 2. Let n(y) = y**3 + y**2 + y + 1. Let k(p) = -p**4 - 15*p**3 - 141*p**2 - 337*p + 6. Let b(t) = c*n(t) - 5*k(t). Factor b(d).
5*d*(d + 7)**3
Let o(g) be the third derivative of g**6/200 - g**5/10 - 17*g**4/5 + 64*g**3 + 20*g**2 - g - 1. Suppose o(n) = 0. Calculate n.
-10, 4, 16
Let j be 56 + 15/5 - 5. Suppose 0 = 14*m - 15*m + j. Suppose -32 - 32 + m + 5*z**2 - 5*z = 0. What is z?
-1, 2
Suppose -6*k = k + 476. Let m be (-187)/k - 6/8. Solve 2*r**2 + 2*r**3 + m*r - 4*r**2 - 2*r**2 = 0 for r.
0, 1
Let h = -92 + 104. Suppose 3*d + 2 = 4*d. Find g such that -126*g - 16 - 4*g**3 + h*g**d + 126*g = 0.
-1, 2
Let t(p) be the first derivative of 0*p**2 + 0*p - 1/30*p**4 + 1/180*p**6 + 1/3*p**3 + 12 - 1/100*p**5. Let r(a) be the third derivative of t(a). Factor r(o).
2*(o - 1)*(5*o + 2)/5
Suppose 132 = 3*p - 5*c + 150, -5*p = 3*c - 38. Let t(s) be the first derivative of -1/8*s**p - 24 + 1/18*s**3 + 0*s + 0*s**2. Factor t(k).
-k**2*(3*k - 1)/6
Let -164/9 + 110/3*g**2 - 238/9*g**3 + 26/3*g - 2/3*g**4 = 0. What is g?
-41, -2/3, 1
Determine z, given that -338/11*z**2 + 10/11*z**5 - 166/11*z**4 - 76/11*z + 0 - 438/11*z**3 = 0.
-1, -2/5, 0, 19
Factor 12*k**4 + 77*k**2 - 543*k + 29*k**2 + 126 + 393*k**3 - 561*k**3 + 557*k**2.
3*(k - 7)*(k - 6)*(2*k - 1)**2
Suppose -11*y - 5 + 27 = 0. Suppose 2*f - 12 = 6. Factor -15 - 12*i + 3*i**2 + f*i**y + 69*i.
3*(i + 5)*(4*i - 1)
Solve -14/5*k**2 + 2/5*k**4 + 0 + 12/5*k + 0*k**3 = 0.
-3, 0, 1, 2
Let l(r) be the third derivative of r**6/240 + 9*r**5/80 + r**4/2 - 14*r**3 - 82*r**2. Let s(m) be the first derivative of l(m). Find t, given that s(t) = 0.
-8, -1
Let k(o) = 2*o**3 + o**2 - 4*o + 5. Let v be k(2). Factor -15*b**4 - 17*b + 12*b**5 + v*b + 10*b**3 - 7*b**5.
5*b**3*(b - 2)*(b - 1)
Let b = 108627 + -108622. Suppose -6*m + 15/4*m**b + 9/4*m**3 + 1 - 47/4*m**2 + 43/4*m**4 = 0. Calculate m.
-2, -1, 2/15, 1
Let d = 710910 + -6397798/9. Suppose 2/9*m**2 + d - 56/9*m = 0. What is m?
14
Solve -65*p - p + 20*p**2 - 5*p**3 + 35*p**2 + 141 + 59 - 124*p = 0.
2, 4, 5
Let g(h) be the second derivative of 0*h**2 - 1/18*h**4 - 5 - 2/9*h**3 + 3*h + 1/45*h**6 + 1/15*h**5. Factor g(x).
2*x*(x - 1)*(x + 1)*(x + 2)/3
Let j(q) be the second derivative of -1/100*q**5 + 3/5*q**3 - 20*q - 7/60*q**4 + 2 + 0*q**2. Determine n, given that j(n) = 0.
-9, 0, 2
Let c(k) be the second derivative of k**6/90 + k**5/10 + k**3/3 + 8*k**2 + 25*k. Let q(u) be the second derivative of c(u). Find m such that q(m) = 0.
-3, 0
Find v such that 5105*v**2 + 828580*v + 1877029 - 576529 + 5*v**3 + 410965*v + 66055*v = 0.
-510, -1
Let s(p) be the first derivative of -p**4/4 - 14*p**3 - 225*p**2/2 + 5000*p - 1663. Suppose s(g) = 0. What is g?
-25, 8
Let u = 7925/1746 - 34/873. Determine r so that -15/2*r**3 - 3/2*r**4 + 15 + u*r**2 + 51/2*r = 0.
-5, -1, 2
Determine c, given that 13872/5 - 3128/5*c + 148/5*c**2 - 2/5*c**3 = 0.
6, 34
Let u = 250960/3 + -83616. Find h, given that -18*h**4 + 84*h**3 - u*h + 64/3 - 40*h**2 = 0.
-2/3, 2/3, 4
Let u(w) = 10*w**5 + 65*w**4 - 69*w**3 - 179*w**2 + 59*w + 96. Let a(b) = b**5 + b**4 - b**3 - b**2 - 2. Let n(h) = -9*a(h) + u(h). Solve n(m) = 0.
-57, -1, 1, 2
Factor 4*t**4 + 315*t**3 + t**4 - 212*t**2 - 333*t**2 - 420*t - 435*t**3.
5*t*(t - 28)*(t + 1)*(t + 3)
Let i(f) = -f**2 - 2696*f + 8087. Let m(o) = -5*o**2 - 18880*o + 56610. Let t(l) = 15*i(l) - 2*m(l). Let t(b) = 0. Calculate b.
-539, 3
Let z(q) be the third derivative of -q**5/240 + 111*q**4/16 + 521*q**2 - 3*q. Factor z(h).
-h*(h - 666)/4
Let i = 32232 - 96694/3. Let v(z) be the first derivative of -6*z**2 - i*z**6 + 8*z + 0*z**5 + 6 - 8/3*z**3 + 4*z**4. Factor v(o).
-4*(o - 1)**3*(o + 1)*(o + 2)
Suppose 0 = -460*d + 465*d - 4*k - 42, 2*d = -4*k - 28. Let q(w) be the first derivative of -1/5*w**3 + 0*w**d - 8 + 1/20*w**4 + 4/5*w. Factor q(v).
(v - 2)**2*(v + 1)/5
Let t be ((-2862810)/(-29043))/((-5)/(-69)). Factor 2/7*h**2 + t - 276/7*h.
2*(h - 69)**2/7
Let p(x) = 25*x**2 - 4884*x + 1626. Let c(i) = 8*i**2 - 1628*i + 542. Let h(v) = 7*c(v) - 2*p(v). Factor h(u).
2*(u - 271)*(3*u - 1)
Suppose 242025 = 1902*l + 55629. Suppose 1/8*k**3 - 7*k**2 + 0 + l*k = 0. Calculate k.
0, 28
Let c = 262952 - 262950. What is a in 8/3*a**5 + 0 - 2*a**3 - 10/3*a**c + 10/3*a**4 - 2/3*a = 0?
-1, -1/4, 0, 1
Let d(n) be the third derivative of -n**7/1575 + 493*n**6/900 - 1793*n**5/10 + 96195*n**4/4 + 199650*n**3 - 512*n**2. Solve d(i) = 0 for i.
-2, 165
Let u(q) = q**2 + 6*q + 18. Let z be u(-6). Suppose z = 4*m - 2*a, -7*a - 9 = -4*m - 2*a. Factor 5*y**2 - m*y + 3*y - 3 + 3.
y*(5*y - 3)
Let l(k) be the third derivative of k**5/12 - 85*k**4/24 - 225*k**3 - 2*k**2 + k + 1935. Suppose l(v) = 0. What is v?
-10, 27
Let q = 34 - 31. What is z in -12*z**q + 28*z - 12*z - 5*z**4 + 0*z**4 + z**4 = 0?
-2, 0, 1
Let l(j) be the second derivative of 145*j**4/4 + 2165*j**3/6 - 25*j**2 - 1942*j. Factor l(b).
5*(b + 5)*(87*b - 2)
Let w be (6/(-10) - 385/(-3850))*-4. Suppose 96/11*o + 0 + 282/11*o**w + 270/11*o**3 - 6/11*o**5 + 78/11*o**4 = 0. Calculate o.
-1, 0, 16
Let w(c) = 100*c**2 + 385*c + 40. Let v(b) = b**2 + 2*b - 3. Let o(n) = -20*v(n) + w(n). Solve o(s) = 0.
-4, -5/16
Let i = -189229/30 + 12637/2. Let r = -32/3 + i. Suppose -2*q**2 + 0 + 12/5*q**3 + 3/5*q - 6/5*q**4 + r*q**5 = 0. What is q?
0, 1, 3
Let b(s) = 8*s**2 - 372*s - 1900. Let l(p) = -26*p**2 + 1122*p + 5700. Let a(o) = 7*b(o) + 2*l(o). Find y such that a(y) = 0.
-5, 95
Let t(f) be the second derivative of -3*f**5/20 + 231*f**4 - 142296*f**3 + 43827168*f**2 - 30*f + 1. Factor t(x).
-3*(x - 308)**3
Let o(y) be the first derivative of -6*y**3/7 - 2*y**2 + 16*y/7 - 1972. Factor o(x).
-2*(x + 2)*(9*x - 4)/7
Let l(k) be the first derivative of k**3/3 - 152*k**2 - 612*k - 2889. Let l(b) = 0. What is b?
-2, 306
Let v(z) be the second derivative of z**4/60 + 31*z**3/15 + 168*z**2/5 + 5*z - 31. Factor v(b).
(b + 6)*(b + 56)/5
Find z, given that -2202256/3 - 4/3*z**2 + 5936/3*z = 0.
742
Factor 4/3 + 22/3*u**2 - 7/2*u**3 - 11/2*u + 1/3*u**4.
(u - 8)*(u - 1)**2*(2*u - 1)/6
Suppose -138 = -5*n - 3*l - 158, -n = -2*l - 22. Factor 1/2*d - 1/4*d**n + 3/4.
-(d - 3)*(d + 1)/4
Let l(o) = -6*o**2 + 94*o + 107. Let k(u) = -4*u**2 + 48*u + 52. Let t(y) = -7*k(y) + 4*l(y). Factor t(n).
4*(n + 2)*(n + 8)
Factor -322/3*v + 1058/9 - 2/9*v**3 - 10*v**2.
-2*(v - 1)*(v + 23)**2/9
Let j(b) be the second derivative of -b - 2/3*b**2 + 7/27*b**3 + 1 - 1/54*b**4. Factor j(y).
-2*(y - 6)*(y - 1)/9
Let z = 2763 + -2761. Let b(l) be the first derivative of 1/12*l**4 + 15 + 1/3*l**z + 0*l + 1/3*l**3. Factor b(m).
m*(m + 1)*(m + 2)/3
Let g(d) be the third derivative of -d**5/15 + 23*d**4/2 - 868*d**3/3 + 2803*d**2. Factor g(l).
-4*(l - 62)*(l - 7)
Let z be 36/30*70/(-42). Let t be z/(-5)*(-316)/(-8) - 3. Factor t*o - 16/5 - 28/5*o**2.
-4*(o - 2)*(7*o - 2)/5
Factor -83*s**2 + 179*s**2 - 91*s**2 + 340 - 1114*s + 262*s.
(s - 170)*(5*s - 2)
Let z(l) be the first derivative of 1/18*l**4 - 29 + 196/3*l**2 - 5488/9*l - 