x**6 + 0 + 0*x**2 + 245/24*x**4. Let d(b) be the second derivative of m(b). Factor d(h).
5*(h - 7)**2
Factor 2992/3*h + 91/6*h**3 + 1936/3 + 367*h**2 + 1/6*h**4.
(h + 1)*(h + 2)*(h + 44)**2/6
Let r(h) be the third derivative of -h**5/12 + 55*h**4/24 + 85*h**3 - 1279*h**2. What is f in r(f) = 0?
-6, 17
Let s(z) be the third derivative of z**5/90 + 85*z**4/36 - 88*z**3/3 + 63*z**2. Let s(i) = 0. Calculate i.
-88, 3
Let d(v) be the first derivative of -3*v**5/40 - 21*v**4/16 - 3*v**3/2 + 21*v**2/8 + 39*v/8 + 453. Determine u so that d(u) = 0.
-13, -1, 1
Let u = 1705354/11 + -155032. Factor 4/11 - u*k**2 - 2/11*k.
-2*(k - 1)*(k + 2)/11
Let j(k) = -k**3 - 5*k**2 - 11*k - 3. Let u be j(-9). Let f be 24/2*15/u + 0. Solve 0*l - 3/7*l**3 + 12/7 + f*l**5 + 9/7*l**4 - 3*l**2 = 0 for l.
-2, -1, 1
Let f(j) be the first derivative of -4*j**6/3 - 166*j**5/35 - 51*j**4/14 + 16*j**3/21 + 4*j**2/7 + 10250. Solve f(u) = 0 for u.
-2, -1, -1/4, 0, 2/7
Let u(f) = 12*f**2 - 1714*f + 2675. Let o(l) = -7*l**2 + 894*l - 1337. Let n(r) = -5*o(r) - 3*u(r). Suppose n(d) = 0. What is d?
2, 670
Solve 56*s - 2/3*s**5 + 194/3*s**3 + 328/3*s**2 + 0 + 32/3*s**4 = 0 for s.
-2, -1, 0, 21
Let k(z) be the first derivative of 0*z - 4/3*z**3 + 126 - 1/4*z**4 + 4/5*z**5 + 0*z**2 + 1/6*z**6. Suppose k(h) = 0. What is h?
-4, -1, 0, 1
Let w = -689 + 694. Suppose -2*c - 4 = 4*g, w*c + 3*g = -1 + 5. Suppose 21*h**3 - 45/2*h - 75/2 + 51*h**c - 27/2*h**4 + 3/2*h**5 = 0. Calculate h.
-1, 1, 5
Let z(q) = -11*q**2 + 642*q + 667. Let n(f) = 7*f**2 - 319*f - 334. Let u(x) = -7*n(x) - 4*z(x). Determine s so that u(s) = 0.
-66, -1
Let j = -201/34 + 3559/510. Let q(y) be the second derivative of 32/5*y**2 + 1/15*y**4 - 16*y - j*y**3 + 0. Let q(g) = 0. What is g?
4
Let f(d) be the first derivative of -d**2 + 24 - 2/27*d**3 - 28/9*d. Solve f(g) = 0.
-7, -2
Let w(d) = 13*d**3 - 11*d**2 - 115*d + 226. Let m(g) = 6*g**3 - 6*g**2 - 57*g + 114. Let k(u) = 7*m(u) - 3*w(u). Determine t, given that k(t) = 0.
-4, 2, 5
Let w(v) = -2*v**3 - 34*v**2 - 53*v + 234. Let u(b) = 30*b**3 + 512*b**2 + 794*b - 3508. Let s(a) = 6*u(a) + 92*w(a). Factor s(h).
-4*(h - 2)*(h + 6)*(h + 10)
Let d(k) be the first derivative of 0*k**3 + 4/135*k**6 + 2 + 1/18*k**5 + 1/54*k**4 + 0*k**2 + 17*k. Let s(v) be the first derivative of d(v). Factor s(g).
2*g**2*(g + 1)*(4*g + 1)/9
Let y(c) be the second derivative of -c**6/165 - 47*c**5/55 - 185*c**4/66 - 92*c**3/33 + 2000*c. Let y(m) = 0. Calculate m.
-92, -1, 0
Let y(q) be the first derivative of -q**6/21 + 24*q**5/35 - 5*q**4/2 - 8*q**3/7 + 36*q**2/7 - 103. What is a in y(a) = 0?
-1, 0, 1, 6
Let p be 39/(-3) + (-46)/(-276)*102. Find s, given that 0*s**3 - s**2 + 0 + 0*s + 1/4*s**p = 0.
-2, 0, 2
Let x(q) be the first derivative of 4*q**5/5 - 1256*q**4 + 788768*q**3 - 247673152*q**2 + 38884684864*q + 1140. Factor x(r).
4*(r - 314)**4
Let c = -307417/5 + 61485. Solve 8/5*y - 2/5*y**2 - c = 0.
2
Let x be (4/6)/(17586/(-27))*-1. Let y = x + 10740/6839. Factor -4/7*h**2 - 1/7*h**3 + y*h - 6/7.
-(h - 1)**2*(h + 6)/7
Suppose -5*y + 135 = 4*l - 117, 2*y = 0. Factor -x**4 + 4*x**5 + 3*x**4 + l*x**3 - 5*x**5 - 60*x**3.
-x**3*(x - 3)*(x + 1)
Let y(j) be the third derivative of j**8/84 + 2*j**7/15 - 4*j**6/5 - 148*j**5/15 - 80*j**4/3 - 25*j**2 - 2. Determine h so that y(h) = 0.
-8, -2, 0, 5
Let i(o) = 9*o**2 - 13*o - 28. Let p be i(-2). Suppose 0 = -p*l - 0*l + 68. Solve 0*g + 6*g**4 + 9/4*g**5 + 0 - 45/4*g**3 + 3*g**l = 0 for g.
-4, 0, 1/3, 1
Let i(x) = -5*x**3 + 41*x**2 + 3*x. Let a(z) = 6*z**3 - 42*z**2 - 4*z. Let m be 4 + (9 + -5 - 0)*-2. Let v(g) = m*i(g) - 3*a(g). Find j, given that v(j) = 0.
0, 19
Let c(u) = u + 15. Let j(f) = f**2 + f + 109. Let m(t) = -11*c(t) + j(t). Factor m(a).
(a - 14)*(a + 4)
Let i(u) = -18*u + 11. Let t be i(7). Let a be -7 + (-9)/135*t. Let a*c**2 - 4/9*c + 0 = 0. Calculate c.
0, 2/3
Let v be (-1*(-15)/(-6))/(2/4) + 5. Let n = 63 - 184/3. Let v*z - n*z**3 + 0 - 10/3*z**2 = 0. What is z?
-2, 0
Factor -778*r + 3*r**4 - 642 - 879*r - 123*r**3 - 266*r - 510*r**3 - 1719*r**2 - 198*r**2.
3*(r - 214)*(r + 1)**3
Suppose -12*c + 13*c - 6 = -b, 5*b = 0. Let z(x) = 4*x**2 + 124*x + 256. Let s(l) = 8*l**2 + 248*l + 516. Let q(u) = c*s(u) - 13*z(u). Factor q(w).
-4*(w + 2)*(w + 29)
Let q(i) be the third derivative of 0*i + 11/72*i**4 - 1/9*i**3 - 1/20*i**5 - 14 - i**2. Factor q(t).
-(t - 1)*(9*t - 2)/3
Let b be (10/6)/(-15*2/(-108)). Suppose 0 = b*m - 13 - 5. Factor 12 + 0*p**2 + 5*p - p**m - 21*p + 7*p**2.
-(p - 3)*(p - 2)**2
Let j(y) = y**3 - y**2 - 12*y + 20. Let i be j(2). Factor i + 6/5*t + 2/5*t**2.
2*t*(t + 3)/5
Let g(m) be the first derivative of 0*m**4 + 0*m**2 + 141 - 5/6*m**6 + 0*m**3 - 4*m**5 + 0*m. Factor g(p).
-5*p**4*(p + 4)
Let i be (-2 - (-5)/5)/((-1)/31). Suppose i - 144 = -x. Find o such that -40*o**3 + x*o - 67 + 225*o + 102*o + 2*o**4 + 309 + 156*o**2 = 0.
-1, 11
Factor -114/5 + 117/5*l - 3/5*l**2.
-3*(l - 38)*(l - 1)/5
Let o = 90419/33900 - 19/33900. Solve o*g - 6/5*g**2 - 8/5 + 2/15*g**3 = 0 for g.
1, 2, 6
Let w(i) be the first derivative of i**4/42 + 22*i**3/21 + 40*i**2/7 - 188*i + 137. Let z(u) be the first derivative of w(u). Factor z(t).
2*(t + 2)*(t + 20)/7
Let b(f) = 1993*f + 115597. Let k be b(-58). Factor 2/3*o**k + 40/3*o + 32/3 + 16/3*o**2.
2*(o + 2)**2*(o + 4)/3
Factor -2185454 - 33067/2*v**3 - 1/2*v**5 - 2249108*v - 313/2*v**4 - 1221271/2*v**2.
-(v + 2)**2*(v + 103)**3/2
Find j, given that 2999824/5 + 4/5*j**2 - 6928/5*j = 0.
866
What is x in -1752*x**2 - 3*x**4 - 126*x**3 - 1636*x - 779 - 884*x - 638 + 309*x**2 + 217 = 0?
-20, -1
Let w = 79 + -68. Let u(x) = -x**2 + 10*x + 39. Let t be u(w). Suppose 29*p**3 + 13*p**5 + 23*p**4 - t*p**3 - 2*p**2 + 7*p**5 = 0. What is p?
-1, -2/5, 0, 1/4
Let d(m) be the first derivative of m**6/720 + m**5/15 + 9*m**3 - 2*m - 28. Let a(v) be the third derivative of d(v). Factor a(r).
r*(r + 16)/2
Let w(s) be the third derivative of -1/10*s**4 + 0 - 7/150*s**5 + 0*s - 1/6*s**3 - 1/225*s**6 - 36*s**2. Let x(m) be the first derivative of w(m). Factor x(l).
-4*(l + 3)*(2*l + 1)/5
Let b be (-8)/(-6) + (20/(-60))/(1/(-5)). Let u(c) be the third derivative of 1/144*c**4 + 0*c**b - 20*c**2 + 0 + 1/360*c**5 + 0*c. Find t, given that u(t) = 0.
-1, 0
Let l(q) = -9*q**3 - 50*q**2 - 31*q + 70. Let i(w) = -2*w**3 - 2*w**2 + 2*w - 3. Let d(y) = 4*i(y) - l(y). Find h, given that d(h) = 0.
-41, -2, 1
Let o(f) be the third derivative of 0 - 1/13*f**4 + 1/78*f**5 - 3/13*f**3 + 65*f**2 + 0*f. Factor o(z).
2*(z - 3)*(5*z + 3)/13
Let w(s) be the third derivative of 7*s**8/96 + 19*s**7/60 - 25*s**6/48 - 79*s**5/40 + 3*s**4/2 + 9*s**3 - 1861*s**2. Determine f so that w(f) = 0.
-3, -6/7, 1
Let v(x) be the first derivative of -4*x**3/3 + 212*x**2 + 428*x + 8637. Let v(n) = 0. Calculate n.
-1, 107
Let c(t) be the second derivative of 1/30*t**5 + 26/9*t**4 - 133 + 69*t**3 + 2*t - 486*t**2. Factor c(m).
2*(m - 2)*(m + 27)**2/3
Let d(c) be the third derivative of c**8/1344 - c**6/12 - 2*c**5/3 + 65*c**4/12 - 172*c**2. Let o(i) be the second derivative of d(i). Factor o(a).
5*(a - 4)*(a + 2)**2
Let y(f) be the first derivative of -f**3/4 + 897*f**2/4 + 900*f - 11791. Find g such that y(g) = 0.
-2, 600
Let o(t) be the first derivative of -4*t**2 - 8*t**3 + 0*t - 11/2*t**4 - 6/5*t**5 - 73. Determine d, given that o(d) = 0.
-2, -1, -2/3, 0
Let k(r) = -2*r**3 - 3*r**2 + r + 1. Let d(f) = -3*f**4 - 6*f**3 + f**2 + 12*f + 8. Let n(g) = d(g) + 4*k(g). Let n(i) = 0. What is i?
-3, -2, -2/3, 1
Let h(f) = -5*f**2 + f + 4. Let n(q) be the first derivative of q**2/2 - q - 2. Suppose 6 - 78 = 12*b. Let l(t) = b*n(t) + h(t). Let l(j) = 0. What is j?
-2, 1
Let d(l) be the third derivative of -l**8/672 + l**7/140 - 30*l**2 - 9*l. Suppose d(g) = 0. What is g?
0, 3
Let s be (-5)/25*1 - 1377/15. Let a = 95 + s. Factor 6*x**a - 16*x**5 + 2*x**3 - 28*x**4 - 141*x**2 + 141*x**2.
-4*x**3*(x + 2)*(4*x - 1)
Let t = 174134/7 + -24876. Factor 20/7*o**2 + t + 22/7*o.
2*(o + 1)*(10*o + 1)/7
Let q(d) be the first derivative of -164 + d**3 + d**2 + 3/8*d**4 + 1/20*d**5 + 0*d. Factor q(h).
h*(h + 2)**3/4
Let h be 10 - (31 - (-330)/(-14)). Solve -2/7*r**2 - h - 12/7*r = 0 for r.
-3
Let n(x) = -x**2 + 40*x + 5. Let m be n(40). Factor m*h**2 + 8*h - 52 + 40 - h**2.
4*(h 