6/19*h**2 + 0*h.
-2*h**2*(h + 3)/19
Solve 44/5*u + 32/5 + 13/5*u**2 + 1/5*u**3 = 0.
-8, -4, -1
Let s(c) = 168*c - 1510. Let w be s(9). Let o(j) be the second derivative of 0*j**3 - 1/42*j**4 + 22*j + 0*j**w + 0 + 1/140*j**5. Suppose o(q) = 0. What is q?
0, 2
Let 60*v - v**2 - 10*v - 155*v = 0. Calculate v.
-105, 0
Let a(g) = -g**4 - 2*g**3 - g**2 + 2. Let h(y) = 20*y**4 + 100*y**3 - 230*y**2 + 170*y - 30. Let f(r) = 15*a(r) + h(r). Solve f(j) = 0 for j.
-17, 0, 1, 2
Let i(b) = -7*b**2 - 99*b - 576. Let h(s) be the first derivative of 2*s**3 + 49*s**2 + 576*s - 4. Let v = 937 - 939. Let y(t) = v*i(t) - 3*h(t). Factor y(a).
-4*(a + 12)**2
Suppose -4484*n + 4499*n = 0. Factor 0*a - 147/4*a**4 + n - 3*a**2 + 21*a**3.
-3*a**2*(7*a - 2)**2/4
Let a(b) be the third derivative of b**5/30 + 53*b**4/6 + 2809*b**3/3 + 807*b**2. Factor a(i).
2*(i + 53)**2
Let n(g) be the first derivative of -1/4*g**4 - 8*g**2 + 0*g - 1/60*g**6 + 8 - 1/10*g**5 - 1/3*g**3. Let u(q) be the second derivative of n(q). Factor u(j).
-2*(j + 1)**3
Let m(x) be the first derivative of -x**5/360 + 5*x**4/144 + x**3/6 - x**2/2 - 51*x - 63. Let s(n) be the second derivative of m(n). Factor s(q).
-(q - 6)*(q + 1)/6
Let c(d) = -2*d**4 - 102*d**3 - 32*d**2 + 238*d + 368. Let v(r) = 3*r**3 - 3*r**2 - r - 4. Let a(l) = 2*c(l) + 44*v(l). Find u such that a(u) = 0.
-14, -5, -1, 2
Let r(p) = 3*p**3 - p**2 + 2*p + 10. Suppose 4*h - 29 = -5. Let b(i) = -7*i**3 + i**2 - 5*i - 23. Let z(l) = h*b(l) + 15*r(l). Let z(n) = 0. What is n?
-1, 2
Let z(s) be the second derivative of -s**5/20 - 25*s**4/12 - 104*s**3/3 - 288*s**2 + 1431*s. Find r, given that z(r) = 0.
-9, -8
Let p(w) be the second derivative of -2645/2*w**2 - 5/12*w**4 - 19*w + 115/3*w**3 + 2. Factor p(l).
-5*(l - 23)**2
Let g(n) be the first derivative of 4/17*n**2 + 0*n - 14/51*n**3 + 1/17*n**4 + 34 + 2/85*n**5. Factor g(y).
2*y*(y - 1)**2*(y + 4)/17
Let o(v) = -v**2 + 15*v + 23. Let k be o(16). Suppose 8 = k*t - 3*t. Find z, given that 0*z**3 + z**3 + 4*z**3 - 3*z**3 - 4*z**2 + 4 - t*z = 0.
-1, 1, 2
Let v(u) be the third derivative of -u**5/30 + 611*u**4/6 - 373321*u**3/3 + 4*u**2 - 65*u. Factor v(c).
-2*(c - 611)**2
Let q(g) be the second derivative of 2*g**6/15 - 79*g**5/15 - 52*g**4/3 - 14*g**3 + 16*g**2 + 19*g - 2. Let n(f) be the first derivative of q(f). Factor n(z).
4*(z - 21)*(z + 1)*(4*z + 1)
Let r(i) be the second derivative of -1/10*i**5 - 75 - 2*i - 5/3*i**3 - 1/30*i**6 + 0*i**2 + 13/12*i**4. Determine c, given that r(c) = 0.
-5, 0, 1, 2
Let s(t) be the third derivative of -t**7/1260 + t**6/72 - t**5/15 - 67*t**4/8 + 48*t**2. Let m(d) be the second derivative of s(d). Solve m(p) = 0 for p.
1, 4
What is q in -1/2*q**5 + 0 + 0*q**2 - 7/2*q**4 - 5*q**3 + 0*q = 0?
-5, -2, 0
Suppose 0*j + 32 = 2*j. Let l be (-1)/(-2*(-5)/(-20))*8. Factor j - l*g + 13*g - 13*g + 4*g**2.
4*(g - 2)**2
Let p(k) be the first derivative of 4/5*k**5 + 0*k**2 + 7*k**4 - 6 + 0*k**3 + 0*k. Find s such that p(s) = 0.
-7, 0
Let g(j) be the second derivative of 961*j**5/50 + 62*j**4/15 + 4*j**3/15 - 2*j - 636. Determine i, given that g(i) = 0.
-2/31, 0
Let u be 22/3 + (-21 - (-22 + 8)). Let h(c) be the first derivative of -3/2*c**2 + 0*c - u*c**3 - 12. Factor h(m).
-m*(m + 3)
Let f(b) = b**2 - 3*b + 1. Let w(t) = 12*t**2 - 98*t + 137. Let l(v) = -22*f(v) + 2*w(v). Solve l(j) = 0.
2, 63
Let n be (-11)/(-4) + (350/(-40) - -9). Let b(p) = p**2 - 49*p + 140. Let z be b(n). Factor 0 + 1/4*q**z - 1/2*q.
q*(q - 2)/4
Let y(k) be the first derivative of 0*k + k**3 + 3/40*k**6 + 1/10*k**5 + 10 - 7/8*k**4 + 23/2*k**2. Let b(r) be the second derivative of y(r). Factor b(l).
3*(l - 1)*(l + 2)*(3*l - 1)
Let g be 4/(2/8 - (-298)/152). Let b be (-2765)/(-5880) + (-3)/8. Solve -352/21*h - b*h**5 - 128/21 + 26/21*h**4 - 290/21*h**2 - g*h**3 = 0.
-1, 8
Let b(z) = -12*z + 195. Let k be b(12). What is y in -15*y - 9*y - 5*y + k*y**2 - 50*y**2 + 4*y = 0?
0, 25
Suppose 188*q - 183*q - 15 = 0. Find v, given that -2340*v - 2700 - 648*v**3 + 570*v**q - 25*v**4 + 22*v**4 - 687*v**2 = 0.
-10, -3
Let c = 33176 - 33168. Let v(m) be the third derivative of c*m**2 - 1/20*m**5 - 3*m + 1/70*m**7 + 0*m**3 + 1/8*m**4 - 1/40*m**6 + 0. Let v(x) = 0. Calculate x.
-1, 0, 1
Let j be 1*(-2)/(-5)*3390/12. Determine z so that 1842*z**2 + 477*z**2 + j*z**3 + 676*z - 239*z**2 + 3*z**4 + 44*z**3 = 0.
-26, -1/3, 0
Let n(d) be the first derivative of -d**5/15 - 31*d**4/9 - 118*d**3/9 - 58*d**2/3 - 75*d - 88. Let m(b) be the first derivative of n(b). Factor m(k).
-4*(k + 1)**2*(k + 29)/3
Suppose -8*v - 8 + 16 = -8. Let z(f) = -f**2 + 7*f. Let u be z(7). Find h, given that -1/4*h**v + u - 1/4*h = 0.
-1, 0
Let q(y) = -y**3 + 8*y**2 + 11*y - 12. Let h be q(9). Suppose -2*g + x + 2 = 2*x, -2*x + h = 5*g. Factor -5*c**3 + 15*c - g - 4 + 10*c**2 + 6.
-5*c*(c - 3)*(c + 1)
Suppose -2395 = -223*u - 382*u - 580. Let q = 9 + -5. Determine j, given that -12*j**u - 15/2*j**q + 9*j**5 + 3*j + 9*j**2 - 3/2 = 0.
-1, -1/2, 1/3, 1
Let o = 26 + -127/5. Let v be (57/(-9) + 8)*((-47)/(-94))/((-50)/(-72)). Solve o*k**3 + 0 - v*k**2 + 0*k = 0.
0, 2
Let l(g) be the third derivative of 0*g - 3*g**3 - 19/12*g**4 - 10*g**2 + 3 - 1/60*g**6 - 11/30*g**5. Find z such that l(z) = 0.
-9, -1
Let v(q) be the first derivative of q**5/20 + 11*q**4/12 + 7*q**3/6 + 139*q**2/2 + 102. Let m(o) be the second derivative of v(o). Solve m(n) = 0.
-7, -1/3
Let f = 6568/7 + -938. Factor 0 - f*n**3 + 0*n + 12/7*n**2.
-2*n**2*(n - 6)/7
Let s(p) be the third derivative of p**6/60 - 18*p**5/5 - p**4/12 + 36*p**3 - 29*p**2 - 93*p. Factor s(k).
2*(k - 108)*(k - 1)*(k + 1)
Let o(q) be the third derivative of q**6/6 - 196*q**5/15 + 13*q**4/2 + 17*q**2 + 11*q. Let o(c) = 0. Calculate c.
0, 1/5, 39
Suppose 18*y - 7*y**4 - 102*y + 33*y**3 + 46*y**2 + 194*y**2 + 150*y**3 + 28*y**4 = 0. What is y?
-7, -2, 0, 2/7
Suppose 92*z - 5001 = 6458 + 133. Let k(n) be the first derivative of 588/5*n**5 - z*n**4 - 3/2*n**2 + 0*n + 25 - 27*n**3. Factor k(v).
3*v*(v - 1)*(14*v + 1)**2
Let x(u) = -42*u - 544. Let b be x(-13). Let d(j) be the second derivative of 3/44*j**4 + 5*j + 4/11*j**3 + 1/220*j**5 + 8/11*j**b + 0. Factor d(m).
(m + 1)*(m + 4)**2/11
Let c = 33 - 29. Suppose 30 = 3*r + 3*j, -c*r + 5*j = -2 - 2. Factor 5*x**2 - 5 + r - 8*x**2 + 2*x**2.
-(x - 1)*(x + 1)
Find p such that -8*p + 8 - 4*p**2 + 251 - 99 - 100 = 0.
-5, 3
Let y = 1610189220275/221518190278 + -236/25884341. Let d = y - -3/778. Factor d*i**3 + 2*i**2 - 450/11*i**4 + 0 - 4/11*i.
-2*i*(5*i - 1)**2*(9*i + 2)/11
Let a be -2*2/30 - 429/(-1755). Let u be 4 + 143/(-99) - 2. Find o such that -a*o + u - 4/9*o**2 = 0.
-5/4, 1
Let g(h) be the first derivative of h**5 + 45*h**4/4 + 115*h**3/3 + 75*h**2/2 - 881. Let g(p) = 0. What is p?
-5, -3, -1, 0
Let y(r) be the third derivative of r**6/600 - r**4/120 - 11*r**2 - 62*r. Factor y(t).
t*(t - 1)*(t + 1)/5
Suppose 109*p - 45 = 609. Let r(u) = 13*u**2 - 10*u + 4. Let c(d) = d - 2. Let k be c(3). Let i(g) = -g**2 - g. Let w(x) = k*r(x) + p*i(x). Factor w(q).
(q - 2)*(7*q - 2)
Let o(k) be the first derivative of -k**6/90 - 43*k**5/15 - 1849*k**4/6 + 20*k**3/3 + 2*k + 68. Let x(z) be the third derivative of o(z). Factor x(w).
-4*(w + 43)**2
Let l(x) be the second derivative of x**5/70 + 407*x**4/14 + 17835*x**3 + 158949*x**2 + 9052*x. Suppose l(i) = 0. Calculate i.
-609, -3
Let u(m) = 4*m**5 + 5*m**4 + 2*m**3 - 5*m**2 + 6*m + 6. Let f(v) = v**5 - v**4 + v**3 + v**2 + 2*v + 2. Let z(s) = -6*f(s) + 2*u(s). Factor z(a).
2*a**2*(a - 1)*(a + 1)*(a + 8)
Let m(z) be the third derivative of z**5/80 - 1165*z**4/16 + 1357225*z**3/8 - z**2 + 53*z - 5. Factor m(b).
3*(b - 1165)**2/4
Suppose -5*i + 2*o = -2*o - 989, 0 = 5*i - 5*o - 990. Factor i + 23*b + b**2 - 97*b + 1172.
(b - 37)**2
Let c = -662 - -666. Suppose 2*q = -s - 14 + 12, 0 = 4*s + c*q. Determine u so that 12/7*u**5 - 8/7*u**s + 0 + 8/7*u**4 - 16/7*u**3 + 4/7*u = 0.
-1, 0, 1/3, 1
Let r(h) = -124*h**2 + 22060*h + 42888. Let p(n) = -10*n**2 + 1697*n + 3299. Let o(a) = -64*p(a) + 5*r(a). Factor o(u).
4*(u + 2)*(5*u + 413)
Let o(i) = -i**2 + 583*i - 86451. Let x(g) = g**2 - 584*g + 86448. Let a(q) = -8*o(q) - 10*x(q). Factor a(z).
-2*(z - 294)**2
Find d such that 464/3*d + 10/3*d**2 - 94 = 0.
-47, 3/5
Let 9/5*i**2 + 0 + 6*