 5/2*m**2 + 3/4*m + 7/4*m**3.
m*(m - 1)*(7*m - 3)/4
Let i(n) be the first derivative of 1/3*n**3 - 2*n**5 - 11/12*n**6 - 7/8*n**4 + 0*n**2 + 76 + 0*n. Determine d, given that i(d) = 0.
-1, 0, 2/11
Suppose 5*c = 2*l + 72, 5*c + 3*l - 67 = -0*l. Let d(g) = 4*g - c*g + 11*g. Let b(s) = s**3 - 3*s**2 - 3*s + 8. Let f(p) = -4*b(p) + 12*d(p). Factor f(n).
-4*(n - 4)*(n - 1)*(n + 2)
Let a(y) = 529*y - 12689. Let q be a(24). Let 4*s**2 - 7*s**4 + 3 - 17/2*s + 3/2*s**5 + q*s**3 = 0. Calculate s.
-1, 2/3, 1, 3
Let a = 363771 + -2546393/7. Let -a*s**3 - 9/7*s**2 + 4/7*s + 9/7 = 0. Calculate s.
-9/4, -1, 1
Factor -1/7*u**2 - 795/7 + 268/7*u.
-(u - 265)*(u - 3)/7
Let x(j) = 46*j**2 + 684*j**3 + 50 + 82*j - 338*j**3 - 332*j**3. Let m(y) = -9*y**3 - 31*y**2 - 55*y - 33. Let q(h) = -8*m(h) - 5*x(h). Factor q(n).
2*(n + 1)**2*(n + 7)
Let j(l) be the second derivative of -61/2*l**3 - 11163/4*l**2 + 0 + 147*l - 1/8*l**4. Solve j(v) = 0 for v.
-61
Let r(w) be the third derivative of w**6/360 + w**5/45 - 13*w**2 + 12*w. Suppose r(v) = 0. Calculate v.
-4, 0
Let h = -6881 - -1032151/150. Let b(t) be the third derivative of -7*t**2 + 0*t - h*t**5 + 0 + 1/120*t**4 + 0*t**3 + 1/600*t**6. Solve b(v) = 0.
0, 1
Let c = -12800 + 12802. Let b = -1389 - -9771/7. Factor -b*p + 0 + 6/7*p**c.
6*p*(p - 8)/7
Find h, given that 0 + 2312/7*h**4 + 18*h + 16592/7*h**3 + 2874/7*h**2 = 0.
-7, -3/34, 0
Let c = 7327 - 7325. Factor 8/9*b + 8/9 + 2/9*b**c.
2*(b + 2)**2/9
Let n(m) be the first derivative of m**6/90 - m**5/30 + m**4/36 + 38*m - 4. Let c(r) be the first derivative of n(r). Solve c(h) = 0 for h.
0, 1
Suppose 19*b - 16*b = -4*z + 331, -246 = -3*z - 3*b. Find v, given that z - 15*v**5 + 16*v + 95 + 79*v**4 + 53*v**2 - 121*v**3 - 192 = 0.
-2/5, 2/3, 1, 3
Let n(p) = -10*p + 34. Let u be n(3). Let 19*f - 95*f - u*f**2 - 12 + 12 = 0. What is f?
-19, 0
Let z(y) be the second derivative of 0 - 1/120*y**5 + 11*y - 1/12*y**3 - 13*y**2 - 1/24*y**4. Let w(h) be the first derivative of z(h). Factor w(l).
-(l + 1)**2/2
Let n(k) be the second derivative of 0 + 3*k**2 + 117*k + 1/36*k**4 + 19/18*k**3. Let n(c) = 0. What is c?
-18, -1
Let k = 184247 + -736983/4. Factor -9/2*c**2 + k*c + 1/2.
-(2*c - 1)*(9*c + 2)/4
Let d(a) = a**3 + 20*a**2 + 16*a - 8. Let n be d(-19). Suppose -n*q + 4 = -53*q, x = -2*q. Factor 0*k + 2/11*k**x - 2/11.
2*(k - 1)*(k + 1)/11
Let w(h) be the second derivative of -h**5/10 + 2311*h**4/2 - 5340721*h**3 + 12342406231*h**2 - 9098*h. Let w(x) = 0. Calculate x.
2311
Let j be 5/(1575/(-10))*186 + 1 - -5. Let w(g) be the first derivative of -13 - j*g**3 + 2/7*g - 1/7*g**2 + 1/14*g**4. Factor w(p).
2*(p - 1)**2*(p + 1)/7
Let l(z) be the third derivative of -3/4*z**4 + 13/20*z**5 + 186*z**2 + 0*z**3 + 0 - 1/70*z**7 - 7/40*z**6 + 0*z + 1/112*z**8. Determine n, given that l(n) = 0.
-3, 0, 1, 2
Suppose 4388*z + 404 = 4590*z. Let -20/7 - 16/7*p + 4/7*p**z = 0. What is p?
-1, 5
Let c(r) be the first derivative of -9/14*r**2 - 39 + 1/21*r**3 - 10/7*r. Factor c(y).
(y - 10)*(y + 1)/7
Let j(v) be the first derivative of 2*v**3/33 + 6*v**2/11 + 16*v/11 - 867. Factor j(h).
2*(h + 2)*(h + 4)/11
Let -33*c**2 + 65/3 - 226/3*c**3 + 193/6*c - 94/3*c**4 + 1/2*c**5 = 0. What is c?
-1, 2/3, 65
Let j(l) = 8*l**2 - 145*l + 24. Let x be j(18). Let t be (2 + -2)/(4/(-12)*x). Factor 10/7*c**2 + 2/7*c**3 + t*c + 0.
2*c**2*(c + 5)/7
Let x(i) be the third derivative of -i**5/12 - 9055*i**4/12 - 16398605*i**3/6 + 4*i**2 - 1721*i. What is m in x(m) = 0?
-1811
Let i(z) = -972*z**3 - 98*z**2 + 750*z + 290. Let l(s) = 324*s**3 + 33*s**2 - 251*s - 97. Let v(y) = 3*i(y) + 10*l(y). Factor v(f).
4*(f - 1)*(9*f + 5)**2
Let b(m) be the first derivative of 3*m**4/20 - 18*m**3/5 + 177*m**2/10 - 126*m/5 + 283. Factor b(n).
3*(n - 14)*(n - 3)*(n - 1)/5
Let d(v) be the first derivative of v**3/21 + 304*v**2 + 646912*v - 2426. Determine n, given that d(n) = 0.
-2128
Let k = -1769 - -1894. Let c be (-675)/k*(-20)/16. Determine l, given that -9/2 + 75/4*l + c*l**2 = 0.
-3, 2/9
Let z(g) be the second derivative of -g**5/10 + g**4 + 165*g**3 + 3388*g**2 + 6398*g. Let z(u) = 0. What is u?
-11, 28
Factor 145 + 104 + 94 - 336*h + 3*h**2 - 10.
3*(h - 111)*(h - 1)
Let g(n) be the second derivative of -n**7/112 + n**6/20 + 3*n**5/32 + 1405*n. Suppose g(f) = 0. Calculate f.
-1, 0, 5
Let m(f) be the third derivative of -f**6/120 - 11*f**5/15 + f**4/24 + 22*f**3/3 - 396*f**2 - 2*f. Let m(o) = 0. Calculate o.
-44, -1, 1
Let j(f) be the second derivative of f**6/1800 + f**5/60 + 7*f**4/40 + 2*f**3/3 - 3*f**2/2 - 4*f - 3. Let l(o) be the second derivative of j(o). Factor l(x).
(x + 3)*(x + 7)/5
Let z be (-73974)/126 + (32/42)/8. Let t = 587 + z. Factor -4/13*b**2 + 2/13*b**4 - 2/13*b**3 + t + 0*b.
2*b**2*(b - 2)*(b + 1)/13
Let o be -5 - (-20 - 2/(-1)) - (-220)/12. What is n in o*n - 4/3 + 98/3*n**2 = 0?
-1, 2/49
Determine n so that 1627 + 8*n**2 - 364*n - 1405 - 18*n**2 = 0.
-37, 3/5
Let m(s) = -s**2 - 463*s - 2742. Let g be m(-6). Let o(u) be the second derivative of -5/6*u**3 + g - 5/12*u**4 - 5*u + 5*u**2. Factor o(x).
-5*(x - 1)*(x + 2)
Let w(z) = -10*z + 15. Let v be (-12)/8*(-228)/(-18). Let r be w(v). Let -401*c**3 + r*c**3 - 2 - 2*c**4 + 204*c**3 - 12*c**2 + 8*c = 0. Calculate c.
1
Let u(a) be the first derivative of a**4/28 + 92*a**3/21 + 174*a**2 + 2016*a - 7654. Solve u(b) = 0 for b.
-42, -8
Let d(f) be the first derivative of -f**6/60 + 7*f**5/30 - 50*f**2 + 111. Let l(h) be the second derivative of d(h). Factor l(a).
-2*a**2*(a - 7)
Let r(x) = 2*x**3 - 35*x**2 - 106*x + 934. Let d be r(19). Determine b, given that 5/3*b**d + 0 - b**5 + 2/3*b**2 - 4/3*b**4 + 0*b = 0.
-2, -1/3, 0, 1
Determine g, given that -685*g - 808*g + 1643*g + 3*g**2 - 312 = 0.
-52, 2
Suppose -3*d + 36 = -3*g, 1949*g - 1954*g + 3*d = 32. Factor 57/2*c - 3 - 297/4*c**g + 243/8*c**3.
3*(c - 2)*(9*c - 2)**2/8
Let n(q) be the first derivative of 1/30*q**4 - 29 + 0*q**2 + 1/15*q**3 + 21*q - 1/50*q**5 - 1/75*q**6. Let s(c) be the first derivative of n(c). Factor s(w).
-2*w*(w - 1)*(w + 1)**2/5
Let l(h) = 29*h - 175. Let s be l(6). Let y be 1 + (-3 + s - -6). Factor 6/7*o**2 - 6/7*o**4 - 6/7*o**y + 0 + 6/7*o.
-6*o*(o - 1)*(o + 1)**2/7
Factor 875/4*r**2 - 5329/4 - 7957*r - 3/2*r**3.
-(r - 73)**2*(6*r + 1)/4
Find q such that 63/4*q + 3/4*q**2 + 0 = 0.
-21, 0
Solve 1/4*z**3 - 177241 + 176820*z + 1683/4*z**2 = 0.
-842, 1
Suppose 1367 = 15*r + 1307. Let t(s) be the first derivative of 2/3*s**3 - 1/6*s**r + 0*s - 1/9*s**6 + 2/3*s**2 + 21 - 2/5*s**5. Let t(u) = 0. What is u?
-2, -1, 0, 1
Let m(x) = 3*x**3 - 2*x**2 - 2*x. Let f(n) = -32*n**3 + 360*n**2 + 532*n + 152. Let j(t) = f(t) + 4*m(t). Let j(k) = 0. What is k?
-1, -2/5, 19
Let p(h) = -h**2 + 22 - 12*h + 2*h - 20. Let f be p(-10). Factor -3 - 2*o**3 + 3 - o**3 - 9*o**f.
-3*o**2*(o + 3)
Let s(m) be the first derivative of 2420/3*m - 215/9*m**3 + 5/12*m**4 + 1100/3*m**2 + 159. Factor s(d).
5*(d - 22)**2*(d + 1)/3
Suppose -214*o = -507 - 349. Let 3/2*f**o + 0*f + 0 - 1/4*f**5 - 9/4*f**3 + f**2 = 0. Calculate f.
0, 1, 4
Let r(h) be the third derivative of -199*h**8/1344 + h**7/420 + 199*h**6/60 - h**5/15 - 199*h**4/6 + 4*h**3/3 + 5*h**2 + 490. What is k in r(k) = 0?
-2, 2/199, 2
Let r = -595 + 778. Suppose -2*u - 2*a + 74 = -68, 3*a + r = 3*u. Find h such that 6*h**5 + 39/2*h**4 - 15/2*h**3 - 12 - 75*h**2 - u*h = 0.
-2, -1, -1/4, 2
Suppose 4/7*j**5 - 30/7*j**3 + 22/7*j**4 + 48/7 - 100/7*j**2 + 8*j = 0. Calculate j.
-6, -2, -1/2, 1, 2
Let b(d) = d**2 - 314*d + 935. Let p be b(3). Suppose 4*u - 22 + 10 = 0. Suppose -3/4*z**3 + 0 + 0*z**p + u*z = 0. What is z?
-2, 0, 2
Let j(v) be the second derivative of 3*v**5/160 - 9*v**4/16 - 5*v**3/2 - 1363*v. Find g such that j(g) = 0.
-2, 0, 20
Let l(z) be the second derivative of 7*z**6/66 - z**5/110 - 35*z**4/44 + 38*z**3/33 - 2*z**2/11 - 2736*z. Solve l(p) = 0.
-2, 2/35, 1
Suppose 3*g + 2*j - 217 - 126 = 0, -g + 136 = 5*j. Let k = g - 108. Suppose 15*c**2 - 60*c**k - 68*c**3 + 116*c**3 + 0*c - 3*c = 0. What is c?
0, 1/4, 1
Factor -80*g**3 + 151*g**2 - 5*g**5 + 4*g**5 + 18*g**4 + 81*g - 169*g**2.
-g*(g - 9)**2*(g - 1)*(g + 1)
Suppose 65*k + 3926 - 1446 - 1094*k + 5*k**2 - 221*k = 0. Calculate k.
2, 248
Let m = 12/1273 + -4115/571577. Let c = m + 887/4939. Suppose 0*z + 