 f**5/300 + f**4/120 + f**3/30 - 5*f**2 - 5. Let c(o) = 0. Calculate o.
-1, 1
Let o be (-45)/18*(-8)/(-5) + 7. Suppose -o*n = -9*n. Let 1/3*j**3 + n + 0*j + 1/3*j**2 = 0. What is j?
-1, 0
Let k(n) be the third derivative of -n**5/540 + 47*n**4/216 - n**2 - 91. Let k(i) = 0. What is i?
0, 47
Let p = -183 - -183. Let a(d) be the second derivative of 5*d + 0 + 1/5*d**2 + p*d**4 + 1/10*d**3 - 1/100*d**5. Factor a(m).
-(m - 2)*(m + 1)**2/5
Let v(x) be the first derivative of x**4/6 - 98*x**3/9 - x**2/3 + 98*x/3 + 114. Factor v(y).
2*(y - 49)*(y - 1)*(y + 1)/3
Let s = 17 + -10. Suppose -5 = s*q - 26. Determine r so that 1/2*r + r**2 - 1 - 1/2*r**q = 0.
-1, 1, 2
Let o(s) = 57*s**3 - 55*s**2 + 11*s - 32*s**3 - 9 + 28*s. Let k(p) = 275*p**3 - 605*p**2 + 430*p - 100. Let l(g) = 4*k(g) - 45*o(g). Factor l(m).
-5*(m - 1)**2*(5*m - 1)
Let i = 77 - 167. Let f be (6/10 - 1)/(12/i). Factor 0*w + 0 + 5/6*w**4 + 2/3*w**2 + 4/3*w**f + 1/6*w**5.
w**2*(w + 1)*(w + 2)**2/6
Let p be 3 - (-213)/21 - 14*29/203. Find s such that -4394/7 - 1014/7*s - 2/7*s**3 - p*s**2 = 0.
-13
Let m(k) = -k**4 - k**3 + k - 1. Let t(q) = -3*q**5 + 9*q**3 - 4*q**2 - q + 1. Let j(y) = m(y) + t(y). Determine z, given that j(z) = 0.
-2, 0, 2/3, 1
Let o(h) be the third derivative of -h**6/24 + 4*h**5/3 - 145*h**4/24 + 35*h**3/3 - 40*h**2. Let o(d) = 0. Calculate d.
1, 14
Suppose 15*q - 14*q = 2. What is o in 6 - 9*o**2 + 3*o + 11*o**q + 5*o = 0?
-3, -1
Let i(k) = 5*k - 2. Let w be i(1). Factor 6*m**2 - 2*m**2 + 156 + 2*m**w - 156.
2*m**2*(m + 2)
Let c(a) be the third derivative of -a**8/112 - a**7/10 - 9*a**6/20 - 11*a**5/10 - 13*a**4/8 - 3*a**3/2 - 10*a**2 + 3*a. Factor c(h).
-3*(h + 1)**4*(h + 3)
Let c(z) be the first derivative of -4*z**3/9 - 16*z**2/3 - 16*z - 17. Determine i, given that c(i) = 0.
-6, -2
Determine m, given that 73*m + 147*m**2 + 3*m**4 - 3808*m**3 + 3886*m**3 - m = 0.
-24, -1, 0
Let v(i) be the first derivative of -5*i**3/3 + 1335*i**2 - 356445*i + 846. Suppose v(w) = 0. Calculate w.
267
Suppose 6*h + 129 = -4*k + 9*h, 0 = k + 3*h + 21. Let o be (-9)/k*4/3. Factor -o*z**4 - 6/5*z**3 + 0*z + 0 - 4/5*z**2.
-2*z**2*(z + 1)*(z + 2)/5
Let f be 1 - (24 + 2 + -4). Let i be 59/6 + (112/f - -6). Solve -3*t**3 + 3 + 21/2*t**2 - i*t = 0 for t.
1/2, 1, 2
Let b(y) = -y**2 + 2*y + 1. Suppose 2*m = 6*m. Suppose m - 33 = -u. Let k(c) = 15*c**2 - 33*c - 15. Let x(i) = u*b(i) + 2*k(i). Determine d so that x(d) = 0.
-1, 1
Factor -21/2*c**2 + 39/2*c - 19/2 + 1/2*c**3.
(c - 19)*(c - 1)**2/2
Let i = 45 - 41. What is a in 25*a**4 + 3*a**i + 16*a + 80*a**2 + 83*a**3 + 9*a**3 = 0?
-2, -1, -2/7, 0
Factor 2/9*l**3 - 2/9*l - 2/3*l**2 + 2/9*l**4 + 4/9.
2*(l - 1)**2*(l + 1)*(l + 2)/9
Let j = 34 - 29. Let m(o) = -o + 6. Let y be m(j). Factor -u + u**3 + y + 4 + 0*u**3 - u**2 - 4.
(u - 1)**2*(u + 1)
Let t(u) be the second derivative of -u**6/105 + u**5/5 - 12*u**4/7 + 160*u**3/21 - 128*u**2/7 + 159*u. Factor t(l).
-2*(l - 4)**3*(l - 2)/7
Let c(q) = -q**2 - 252*q - 14507. Let a be c(-89). Let x be ((-1)/(-3))/(15/6). Factor -x*b**2 - 2/15*b + a.
-2*b*(b + 1)/15
Suppose 4*k - 15 = u, -891*k = -889*k - 3*u - 25. Solve -1 + 3/4*n**3 + 4*n - 13/4*n**k = 0 for n.
1/3, 2
Let s(l) be the third derivative of 10/21*l**7 + 5*l**2 + 16/3*l**3 + 23/3*l**4 + 6 + 1/28*l**8 + 29/5*l**5 + 0*l + 71/30*l**6. Suppose s(i) = 0. What is i?
-4, -2, -1, -1/3
Suppose -v = 2*c + 1, 7*c - 5*v = 2*c - 25. Let k(r) = -3*r**3 + 23*r**2 - 15*r + 1. Let d(l) = -l**3 - l**2 - l + 1. Let h(f) = c*k(f) - 6*d(f). Factor h(y).
4*(y - 2)*(y - 1)*(3*y - 1)
Suppose -183 - 157 = 2*n. Let c be (-8)/(-44) - n/33. Factor 12*p**2 + c - 40/3*p - 14/3*p**3 + 2/3*p**4.
2*(p - 2)**3*(p - 1)/3
Let c(f) be the second derivative of 20*f + 5/6*f**3 + 0 + 0*f**2 + 1/12*f**4. Factor c(a).
a*(a + 5)
Let u(k) be the third derivative of k**8/1680 + k**7/350 - k**6/300 - k**5/25 - k**4/15 - 136*k**2. Let u(f) = 0. What is f?
-2, -1, 0, 2
Let n(h) be the second derivative of -h**4/9 + 4*h**3/9 + 10*h**2 - 57*h. Let n(m) = 0. What is m?
-3, 5
Let p = -113 + 115. Let v(d) be the first derivative of -2 + 0*d - 1/12*d**3 + 0*d**p. Find i such that v(i) = 0.
0
Let a be 0/(6 - 4)*-1. Let w(c) be the second derivative of a + 0*c**4 + 0*c**3 - c + 0*c**2 + 1/80*c**5. Factor w(m).
m**3/4
Let w be 2/(9 + 14 + -22). Determine o, given that -162/11*o**w - 2/11 - 36/11*o = 0.
-1/9
Let l be (5/5*-3)/(-7 + 6). Factor -3/4*g**5 + 0 + 0*g**3 + 0*g**2 + 0*g + l*g**4.
-3*g**4*(g - 4)/4
Suppose -12*z + 2*z + 30 = 0. Let i(d) be the second derivative of 0*d**2 + 0 - 1/18*d**z - 4*d - 1/72*d**4. What is j in i(j) = 0?
-2, 0
Find q such that -384/5*q - 8*q**3 + 224/5*q**2 + 0 + 2/5*q**4 = 0.
0, 4, 12
Let p(n) be the second derivative of n**4/9 + 22*n**3/9 + 12*n**2 - 77*n. Factor p(x).
4*(x + 2)*(x + 9)/3
Let b(t) be the first derivative of -3*t**5/5 + 80. Factor b(w).
-3*w**4
Let t(y) be the third derivative of -y**5/20 - 5*y**4/8 - y**3/2 - 2*y**2. Let z(d) = 1. Let j(n) = -t(n) - 3*z(n). What is r in j(r) = 0?
-5, 0
Let r(o) = -3*o**2 - 5*o + 4. Let q be (-1)/((-4)/(-4)) - 3. Let c(d) = d**2 + d - 1. Let k(j) = q*c(j) - r(j). Let k(f) = 0. What is f?
0, 1
Suppose -168 + 41*y**2 - 36*y**2 + 58 + 45*y = 0. Calculate y.
-11, 2
Find m, given that -24 - 9*m - 1/3*m**2 = 0.
-24, -3
Let u = 194 + -188. Let t(h) be the second derivative of 1/3*h**4 + 1/10*h**5 - 2*h**2 + 0 - 1/3*h**3 + u*h. Solve t(p) = 0 for p.
-2, -1, 1
Let r(l) = -105*l**4 + 1361*l**3 - 5000*l**2 + 3840*l - 721. Let d(t) = t**3 - 1. Let g = 42 - 43. Let q(z) = g*r(z) + d(z). Let q(m) = 0. Calculate m.
2/7, 2/3, 6
Suppose 9*o - 4 = 7*o. Determine v, given that 41 - 16*v + o*v**2 + 2*v**2 - 41 = 0.
0, 4
Find n such that -50*n - 1/2*n**3 + 10*n**2 + 0 = 0.
0, 10
Let n(p) be the first derivative of -3*p**5/40 + 3*p**3/4 - 3*p**2/2 - 23*p + 18. Let s(b) be the first derivative of n(b). Factor s(o).
-3*(o - 1)**2*(o + 2)/2
Suppose -2*c = -12*c - 20. Let w be (448/(-10))/c + (-14)/(-35). Factor -48/5*g + 8/5 - 18/5*g**5 + w*g**2 + 78/5*g**4 - 134/5*g**3.
-2*(g - 1)**3*(3*g - 2)**2/5
Let h(z) be the first derivative of z**7/105 - z**5/30 - 3*z**2 + 3. Let v(t) be the second derivative of h(t). Suppose v(b) = 0. Calculate b.
-1, 0, 1
Suppose -2*i = 5*y - 3, 0 = 3*i + 3*y - 2*y - 11. Solve -8*c**i - 6*c**4 + 10*c**2 + 74*c**4 - 45*c**3 - 25*c**5 = 0.
0, 2/5, 1
Let f(h) be the first derivative of -20*h**6/3 + 28*h**5 - 75*h**4/2 + 15*h**3 + 92. Factor f(p).
-5*p**2*(2*p - 3)**2*(2*p - 1)
Let k be (-66)/11 + 4*18/8. Factor 0 + 1/2*z**4 + 9/2*z**2 - 3*z**k - 2*z.
z*(z - 4)*(z - 1)**2/2
Let s be (-1*6/4)/((-48)/64). Factor -5625*k**2 + 2*k - s - 6 + 5633*k**2 - 2*k**3.
-2*(k - 4)*(k - 1)*(k + 1)
Solve 0*d + 10/3*d**4 + 2/3*d**2 + 3*d**3 + d**5 + 0 = 0.
-2, -1, -1/3, 0
Let z = 1812 + -1807. Let i(y) be the third derivative of 0 + 5/84*y**4 - 3*y**2 - 2/105*y**z + 1/420*y**6 - 2/21*y**3 + 0*y. Solve i(u) = 0.
1, 2
Let i = -83/6 + 39/2. Factor 2*y + 0 + i*y**2 + 5/3*y**3.
y*(y + 3)*(5*y + 2)/3
Factor 1/4*l**3 - 9/2*l - 7/4*l**2 + 0.
l*(l - 9)*(l + 2)/4
Let d(n) be the first derivative of -n**5 - 5*n**4/4 + 25*n**3 - 115*n**2/2 + 50*n + 100. What is y in d(y) = 0?
-5, 1, 2
Let n(z) be the first derivative of -z**8/1008 + z**6/90 + z**5/90 - z**4/24 - z**3/9 + 8*z**2 - 15. Let h(d) be the second derivative of n(d). Factor h(s).
-(s - 2)*(s - 1)*(s + 1)**3/3
Let s = -50 - -47. Let f(j) = -13*j**2 + 7*j - 1. Let w(q) = 6*q**2 - 3*q. Let m(k) = s*f(k) - 7*w(k). Factor m(t).
-3*(t - 1)*(t + 1)
Suppose -5*c = -4*x + 3*x - 5, c = -4*x + 22. Suppose 5 = 4*h - k, -4*h + 2*k = h - 4. Factor -2*m + 2*m**c + 4*m**4 - 1 - m**5 - 5*m**4 + m + h*m**3.
-(m - 1)**2*(m + 1)**3
Let q(w) be the first derivative of -w**5/40 - w**4/2 - 7*w**3/4 - 4*w**2 + 35. Let b(h) be the second derivative of q(h). Solve b(k) = 0.
-7, -1
Let y(a) = -a**4 - 2. Let b(m) = 5*m**4 - 210*m**3 - 55*m**2 + 210*m + 140. Let o(k) = -b(k) - 30*y(k). Determine r, given that o(r) = 0.
-8, -1, -2/5, 1
Let m be (-3)/4 - 61/4. Let v = -14 - m. Factor -w - w + v*w**4 + w**3 - w**2 + w**3 - w**2.
2*w*(w - 1)*(w + 1)**2
Suppose 3 = 24*v + 3. Let h(s) be the third derivative of -64/21*s**3 + 0*s - 2/35*s**5 + v + 4/7*s**4 + 5*s**2 + 1/420*s**6. Factor h(l).
2*(l - 4)**3/7
Let s = -8923/