 r(t) be the first derivative of q(t). Factor r(m).
(m + 2)*(7*m - 3)/4
Let 298/3*h**3 - 14/3*h**4 + 728/3*h - 868/3*h**2 - 48 = 0. What is h?
2/7, 1, 2, 18
Let i(g) be the second derivative of -363*g**5/140 - 473*g**4/4 - 596*g**3/7 - 162*g**2/7 - 291*g + 21. Solve i(l) = 0 for l.
-27, -2/11
Let m be (-16)/((199 - 154)*(-6)/(-15)*-1). Find i such that -2/9*i**4 + 22/9*i + 2/9*i**3 + m + 2*i**2 = 0.
-1, 4
Let y = 215 + -882. Let b = -664 - y. Solve 8/9*u**b - 2/9 + 4/3*u - 2*u**2 = 0.
1/4, 1
Let n(u) be the first derivative of 209*u**3 + 2511*u**2/2 + 12*u + 1387. Factor n(v).
3*(v + 4)*(209*v + 1)
Let g = -20770/57 + 6974/19. Solve -2/3*c**4 - 4/3*c**2 - 8/3*c + g*c**3 + 2 = 0 for c.
-1, 1, 3
Let j(t) = -2*t**3 + 14*t**2 + 10. Let o(y) = 2*y**3 - 12*y**2 - 8. Let h = 257 - 252. Let k(w) = h*o(w) + 4*j(w). Let k(r) = 0. Calculate r.
0, 2
Let x = -188 - -149. Let u be 6*(-65)/x*4/10. Factor 2/5*p**2 - 4/5*p**3 + 0 + 0*p - 14/5*p**u - 8/5*p**5.
-2*p**2*(p + 1)**2*(4*p - 1)/5
Let h(m) be the third derivative of m**6/40 + 3*m**5/5 - 91*m**4/8 - 51*m**3 + 2*m**2 - 119*m. Suppose h(c) = 0. Calculate c.
-17, -1, 6
Let x(r) = 2*r**2 + 91*r - 347. Let u(p) = p**2 + 45*p - 176. Let y(o) = 7*u(o) - 4*x(o). Let y(g) = 0. Calculate g.
-52, 3
Let t(b) = 9*b**3 + 209*b**2 + 1078*b. Let o(y) = -3*y**3 - 70*y**2 - 359*y. Suppose 28 = 5*h - 27. Let n(x) = h*o(x) + 4*t(x). Factor n(m).
3*m*(m + 11)**2
Let r(s) = 3*s**2 + 38*s - 437. Suppose -2*k + 16 = 14*k. Let y(l) = -l**2 + l - 1. Let j(x) = k*r(x) + 4*y(x). Factor j(b).
-(b - 21)**2
Let l(z) be the second derivative of z**5/5 - 4*z**4/3 + 8*z**3/3 + 35*z - 14. Factor l(m).
4*m*(m - 2)**2
Let x(y) = 65*y - 60. Let n be x(1). Let -15*o**3 + 82*o**5 + 3*o**n + 160*o**4 + 25*o**2 - 25*o**2 - 5*o**3 = 0. Calculate o.
-2, 0, 2/17
Let u = 0 + -8. Let q be (-2)/((u/(-70))/((-4)/10)). Solve -z**4 - q*z**2 + z**3 + 5*z**2 + 3*z**2 - z**5 = 0.
-1, 0, 1
Solve 9/2*q**5 - 33/4*q**2 + q + 23*q**3 - 93/4*q**4 + 0 = 0.
0, 1/3, 1/2, 4
Let j be 126/(2 + 1/(28/4584)). Let v = j - 3/290. Factor -1/4*s**4 + 1/2 + v*s**3 - 3/4*s - 1/4*s**2.
-(s - 2)*(s - 1)**2*(s + 1)/4
Let x = 173 + -169. Factor 50*r - 104*r - 15*r**3 - 16 - 244*r**2 - 66*r - 27*r**3 + 98*r**x.
2*(r - 2)*(r + 1)*(7*r + 2)**2
Let y(z) be the third derivative of -z**6/280 - 11*z**5/35 + 24*z**4/7 + 1319*z**2. Let y(p) = 0. Calculate p.
-48, 0, 4
Factor -16*n**2 + 5*n**2 + 8*n**2 - 18807 - 129*n + 18237.
-3*(n + 5)*(n + 38)
Let r(b) be the third derivative of 1/50*b**5 + 222*b**2 + 0*b**3 + 1/200*b**6 - 3/40*b**4 + 0*b + 0. Solve r(f) = 0 for f.
-3, 0, 1
Let z(b) be the third derivative of -13*b**8/11200 + b**7/2100 + 215*b**4/24 + 11*b**2 - 5. Let w(h) be the second derivative of z(h). Factor w(n).
-3*n**2*(13*n - 2)/5
Let u be 2/(2/9) + 10/2. Factor p**2 + 62 - 47 - 47 + u*p.
(p - 2)*(p + 16)
Let l(q) be the second derivative of q**7/21 - 32*q**6/15 + 111*q**5/5 + 272*q**4/3 + 289*q**3/3 + 54*q. Factor l(p).
2*p*(p - 17)**2*(p + 1)**2
Let y = -4598 + 4601. Let g(z) = z**2 + 39*z - 10. Let j = 24 + -17. Let l(k) = -19*k + 5. Let b(u) = j*l(u) + y*g(u). Find s such that b(s) = 0.
1/3, 5
Let z(m) be the third derivative of 0*m - 2*m**3 - 3/20*m**6 - 1/70*m**7 - 3/2*m**4 - 13/20*m**5 + 0 - 26*m**2. Factor z(j).
-3*(j + 1)**2*(j + 2)**2
Let a(g) = 87*g - 605. Let j be a(7). Suppose -4*v - j = -4*c, -v + 4*v = -c + 13. Suppose 4/7*k**4 + 48/7*k**2 - 24/7*k**v - 32/7*k + 0 = 0. Calculate k.
0, 2
Let a be 3/(-11) - 141/(-396). Let i(o) be the third derivative of -1/10*o**5 - 1/60*o**6 + a*o**4 + 15*o**2 + 2/3*o**3 + 0*o + 0 + 1/105*o**7. Factor i(p).
2*(p - 2)*(p - 1)*(p + 1)**2
Suppose 22*b + 106 = 25*b - 4*v, -2*b = 5*v - 109. Suppose -b*q = -59 - 25. Find d, given that 0*d + 0 + 10/17*d**3 - 12/17*d**q - 2/17*d**4 = 0.
0, 2, 3
Let -473*s**2 + 361*s**4 + 433*s**2 - 965*s**2 + 199*s**4 - 175 + 1180*s + 960*s**3 - 4760*s**3 = 0. What is s?
-5/7, 1/4, 7
Let r(j) be the second derivative of j**6/120 - j**5/10 + j**4/8 + 5*j**3/3 + 45*j**2 - 68*j. Let s(d) be the first derivative of r(d). Factor s(l).
(l - 5)*(l - 2)*(l + 1)
Suppose 0 = 10*f + 18 - 48. Factor -76 + 14 - 80*h - 2 - 4*h**f - 32*h**2.
-4*(h + 2)**2*(h + 4)
Let j be -12 - -78 - (-3 + 0). Solve -60*s**3 + 70*s**2 + 10*s**4 + 3 - 2 + 5*s**5 - 1 + j*s - 94*s = 0 for s.
-5, 0, 1
Let d(k) be the third derivative of -1 + 0*k + 0*k**3 + 24*k**2 + 1/2*k**4 - 1/15*k**5. Factor d(w).
-4*w*(w - 3)
Let y = 105/19 + -4687/855. Let o(k) be the third derivative of -1/180*k**6 + 0*k**3 + 0 + y*k**5 - 1/12*k**4 - 8*k**2 + 0*k. Determine i so that o(i) = 0.
0, 1, 3
Let f = 8799 + -351959/40. Let h(a) be the third derivative of 15*a**2 + 5/16*a**4 + a**3 + f*a**5 + 0 + 0*a. Let h(k) = 0. What is k?
-4, -1
Let z(s) be the third derivative of s**7/1365 + s**6/390 - 7*s**5/390 - 2*s**4/39 + 4*s**3/13 + 1013*s**2. Find o such that z(o) = 0.
-3, -2, 1, 2
Solve -2234810226 + 11568172*h**2 + 709603774*h + 2/11*h**5 + 69276*h**3 + 2018/11*h**4 = 0.
-253, 3
Let t be -18 - (1/6 + (-44407)/2202). Let -6/7*j**3 - 36/7 - 48/7*j**t - 78/7*j = 0. What is j?
-6, -1
Let t(x) be the first derivative of -4/45*x**5 - 1/27*x**6 - 40 + 8/27*x**3 + 1/9*x**4 - 1/9*x**2 - 4/9*x. What is k in t(k) = 0?
-2, -1, 1
Let v(z) be the second derivative of z**5/4 - 205*z**4/12 + 2075*z**3/6 - 1875*z**2/2 - 546*z. Determine f so that v(f) = 0.
1, 15, 25
Find p, given that 240/17 + 1544/17*p + 88/17*p**4 + 1876/17*p**2 + 798/17*p**3 - 10/17*p**5 = 0.
-2, -1/5, 15
Let w be (-20)/6*(14/(-28) - 1). Let v(j) be the second derivative of 0 + 1/2*j**2 + 1/4*j**3 + 3*j - 1/40*j**w + 0*j**4. Find n such that v(n) = 0.
-1, 2
Let x(g) be the second derivative of -g**7/168 + 23*g**6/120 - 13*g**5/8 + 77*g**4/12 - 41*g**3/3 + 16*g**2 + 2*g + 11. Determine t, given that x(t) = 0.
1, 2, 16
Let b(n) = -39*n**3 + 2943*n**2 - 3777*n - 4368. Let r(h) = 5*h**3 - 368*h**2 + 472*h + 544. Let d(y) = -4*b(y) - 33*r(y). Find v, given that d(v) = 0.
-2/3, 2, 40
Let p(q) be the second derivative of -15/4*q**2 + 1/48*q**4 + 2*q + 3 - 1/24*q**3. Factor p(i).
(i - 6)*(i + 5)/4
Suppose -o - 1135 = -2*a, -63*a = -67*a - 4*o + 2240. Factor -a*r - 6*r**2 + 529*r + 3*r**2.
-3*r*(r + 12)
Let q(h) be the second derivative of h**7/189 + h**6/5 - 29*h**5/30 + 89*h**4/54 - 10*h**3/9 - 1090*h. Let q(x) = 0. Calculate x.
-30, 0, 1
Let v(b) be the second derivative of 3/16*b**4 + 1/40*b**5 + 22/3*b**3 + 0*b**2 + 1/720*b**6 + 0 - 20*b. Let i(r) be the second derivative of v(r). Factor i(y).
(y + 3)**2/2
Factor 7/2*z**2 + 0 + 1/4*z**3 - 8*z.
z*(z - 2)*(z + 16)/4
Let z(k) be the first derivative of -k**6/30 + 13*k**5/15 + 3*k**2 + 4*k - 133. Let w(j) be the second derivative of z(j). Find d such that w(d) = 0.
0, 13
Let d(q) be the second derivative of -3*q**5/25 - 141*q**4/20 + 2*q**3/5 + 423*q**2/10 + 64*q + 11. Let d(u) = 0. Calculate u.
-141/4, -1, 1
Let p be (-280)/644*(-276)/144. Let a = 7253/870 + -1/290. Factor a*r + p*r**2 + 125/6.
5*(r + 5)**2/6
Let i(o) be the third derivative of -47*o**5/10 + 71*o**4/3 - 4*o**3/3 - 16*o**2 + 98*o. Solve i(u) = 0 for u.
2/141, 2
Let p(k) be the first derivative of 4/11*k**4 - 8/11*k**3 - 170 + 0*k**2 + 0*k + 2/55*k**5 - 1/33*k**6. Factor p(y).
-2*y**2*(y - 2)**2*(y + 3)/11
Let c(u) be the first derivative of -99/5*u**2 - 3267/5*u - 206 - 1/5*u**3. Factor c(p).
-3*(p + 33)**2/5
Let p = -394 - -391. Let x be (-4 - -6)*p/(9*-2). Suppose -1/6 + 0*m + x*m**2 - 1/6*m**4 + 0*m**3 = 0. What is m?
-1, 1
Let m(d) be the third derivative of d**6/40 + 2601*d**5/20 + 2255067*d**4/8 + 651714363*d**3/2 - d**2 + 91*d. Find l such that m(l) = 0.
-867
Let b(d) be the second derivative of -d**7/210 + 7*d**5/30 + d**4 + 107*d**3/6 - d**2/2 + 240*d. Let s(y) be the second derivative of b(y). Solve s(t) = 0.
-2, -1, 3
Let s = 19591/3625 - 16/3625. Find f, given that 9/5*f**4 - 24/5*f - 84/5*f**2 - 78/5*f**3 + 0 + s*f**5 = 0.
-1, -2/3, 0, 2
Let b be 42/504 + (-6)/144. Let v(g) be the third derivative of 1/5*g**3 + b*g**4 + 1/300*g**5 - 4*g**2 + 0*g + 0. Factor v(o).
(o + 2)*(o + 3)/5
Let c(r) be the second derivative of -r**5/20 - 3*r**4 + 79*r**3/6 + 57*r**2 + 490*r. Factor c(w).
-(w - 3)*(w + 1)*(w + 38)
Let k(p) be the second derivative of -p**6/30 - 9*p**5/10 - 97*p**4/12 - 24*p**