i - 165*v**3 - 67231*v + 152*v**2.
5*(v - 3)**2*(v - 1)*(5*v + 2)
Let s = -4 + 6. Let q(j) = -j**2 + j + 1. Let a(p) = -6*p - 61 + 168 - 106 + 3*p**2. Let w(m) = s*q(m) + a(m). Let w(z) = 0. Calculate z.
1, 3
Factor 203776 - 15951 + 14252 + s**2 + 229572 - 1314*s.
(s - 657)**2
Suppose -50*r = -30*r + 20. Let m be ((-70)/360)/(r/8 + 0). Find c, given that 10/9*c**4 + 0*c - 2/9*c**5 + 2/3*c**2 + 0 - m*c**3 = 0.
0, 1, 3
Let n(k) be the first derivative of -k**5/100 - k**4/20 + 2*k**3/15 + 53*k + 60. Let i(l) be the first derivative of n(l). Determine x so that i(x) = 0.
-4, 0, 1
Let r be (-1)/(1/(-3))*(6 - 5). Factor -636*c - 843*c - 1125 - 121*c - 155*c**2 + 325*c - 5*c**r.
-5*(c + 1)*(c + 15)**2
Let g = -13904/15 + 927. Let u(q) be the second derivative of 6*q + 0 + 1/50*q**5 + 0*q**2 - g*q**4 + 0*q**3. Solve u(a) = 0.
0, 2
Let f = -193418 + 1740778/9. Suppose -4/9*t**4 - 64/9*t + f*t**3 + 64/9 + 0*t**2 = 0. What is t?
-2, 2
Let d = -5416 + 5420. Let j(f) be the first derivative of 0*f + 0*f**2 - f**d - 8/3*f**3 + 2/3*f**6 + 8/5*f**5 + 8. Factor j(k).
4*k**2*(k - 1)*(k + 1)*(k + 2)
Let o(i) be the second derivative of -7*i**4/3 + 26*i**3 - 40*i**2 + 96*i - 5. Let o(j) = 0. What is j?
4/7, 5
Determine o, given that -1/7*o**5 + o**3 + 6/7*o**4 + 0 + 0*o + 0*o**2 = 0.
-1, 0, 7
Suppose -4162*m - 5941 + 18427 = 0. Factor 1/3*p**m - 20/3*p**2 - 7*p + 0.
p*(p - 21)*(p + 1)/3
Let l = -22 + 22. Suppose l = 6*i - 2*i - 512. Factor -5*v**2 - 393 - 140 + 90*v + i.
-5*(v - 9)**2
Let b(m) = 11*m**4 + 125*m**3 - 551*m**2 + 775*m. Let q(y) = 4*y**4 + 42*y**3 - 184*y**2 + 258*y. Let f(x) = -6*b(x) + 17*q(x). Determine i so that f(i) = 0.
0, 3, 4, 11
Let d = 36/55 - 2696/4455. Let r = d + 65/324. Factor -1/4*y**2 + r*y**3 - 5/4*y - 3/4.
(y - 3)*(y + 1)**2/4
Suppose l - 4 = -q, 2*q = -4*l - 4*q + 20. Let d(y) be the third derivative of 0 + 0*y**3 + 0*y - 1/6*y**4 + 1/15*y**5 - 24*y**l. Factor d(x).
4*x*(x - 1)
Let r(b) = -b. Let u(m) = m**4 - m**3 - 12*m**2 - m + 16. Let y(d) = 12*r(d) + 4*u(d). Factor y(g).
4*(g - 4)*(g - 1)*(g + 2)**2
Solve 2859*g**3 + 1194*g**2 - 375*g**4 + 50 - 33*g**4 + 81*g**3 - 185*g - 2359*g**2 - 132*g**4 = 0 for g.
-2/9, 1/6, 1/2, 5
Let d(i) be the third derivative of -i**8/141120 + i**7/2940 + 13*i**6/5040 + 53*i**5/60 - 8*i**2 - 6*i. Let u(m) be the third derivative of d(m). Factor u(n).
-(n - 13)*(n + 1)/7
Let q(j) be the third derivative of -j**5/40 - 593*j**4/8 - 351649*j**3/4 - j**2. Determine p so that q(p) = 0.
-593
Suppose 2*w = -4*g + 12, -3*g + g + 2*w + 12 = 0. Suppose -50 = -14*d + g*d. Factor -2*x**3 - 6*x**2 - 5*x + d*x**3 + x + x + 6.
3*(x - 2)*(x - 1)*(x + 1)
Let f(w) be the first derivative of 4/3*w**3 + w**4 + 0*w**2 - 38 - 2/3*w**6 - 4/5*w**5 + 0*w. Suppose f(t) = 0. What is t?
-1, 0, 1
Let s(q) be the third derivative of q**7/1155 - 6*q**6/55 + 91*q**5/22 - 1225*q**4/66 - q**2 - 1452*q. Factor s(t).
2*t*(t - 35)**2*(t - 2)/11
Suppose -29*p - 605538 = -605596. Let p*l**3 + 16 - 1/3*l**4 + l**2 - 56/3*l = 0. What is l?
-3, 1, 4
Let s = -1062399/8 - -132800. Determine u, given that -7/8*u**2 + 1/8*u**3 - s*u + 7/8 = 0.
-1, 1, 7
Let l(d) = -5*d - 8. Let i be l(-14). Let y = 64 - i. Factor 116*w**y + 2*w - 227*w**2 + 113*w**2.
2*w*(w + 1)
Solve -1/6*a**3 - 7/6 - 3/2*a**2 - 5/2*a = 0 for a.
-7, -1
Let n = -18 + 15. Let b(x) = -x**3 + 3*x - 3. Let r be b(n). Find z such that -3*z**4 + 16 - 16 + 18*z + 9*z - r*z**3 - 9*z**2 = 0.
-3, 0, 1
Let w = -330 + 326. Let l be 30/8*14/(-231)*w. Let 6/11*m**4 + 0 - 8/11*m**5 + l*m**3 - 2/11*m - 6/11*m**2 = 0. Calculate m.
-1, -1/4, 0, 1
Suppose 0 = 793*i - 769*i - 96. Let m(q) be the second derivative of 0 + 0*q**2 - 1/39*q**3 + 24*q - 1/130*q**5 - 1/39*q**i. What is w in m(w) = 0?
-1, 0
Let l(v) be the second derivative of v**4/48 + 65*v**3/4 + 38025*v**2/8 - 369*v. Let l(c) = 0. Calculate c.
-195
Let f be (-160)/50*(-57)/76. Let r(g) be the first derivative of f*g**2 - 15 + 144/5*g + 1/15*g**3. Determine y so that r(y) = 0.
-12
Suppose 78*a - 140*a = -62. Let g be (a + 2/(-4))/((-507)/(-338)). Factor 2/3 + g*x**4 + 3*x**2 - 5/3*x**3 - 7/3*x.
(x - 2)*(x - 1)**3/3
Let q(s) be the second derivative of -2*s**7/21 + 22*s**6/15 + 2*s**5/5 - 22*s**4/3 - 2*s**3/3 + 22*s**2 - 149*s. Suppose q(z) = 0. Calculate z.
-1, 1, 11
Let d(r) = -2*r**5 - 3*r**4 - 6*r**3 + 2*r**2 + 3*r - 1. Let l(v) = -v**5 - 5*v**3 - v**2 + v - 1. Let y(u) = -d(u) + l(u). Determine o, given that y(o) = 0.
-2, -1, 0, 1
Let m(i) = 6*i**4 + 88*i**3 + 1202*i**2 + 6724*i + 12828. Let n(d) = -13*d**4 - 177*d**3 - 2404*d**2 - 13449*d - 25663. Let u(w) = 9*m(w) + 4*n(w). Factor u(v).
2*(v + 5)**2*(v + 16)**2
Factor -448 - 4*w**2 + 982 - 718 + 188*w.
-4*(w - 46)*(w - 1)
Let q be 3/((1*194/(-24) + 8)/((-13)/234)). Find u, given that 3/2*u - 1 + 0*u**q - 1/2*u**3 = 0.
-2, 1
Suppose 4*k = -21 + 41. Factor 6*n**4 - k*n**2 - 9*n**3 + 12*n - 15*n**2 + 8*n**2 + 3*n**5.
3*n*(n - 1)**2*(n + 2)**2
Let r(t) = -6*t**2 - 151*t - 140. Let q(p) = -3*p**2 - 75*p - 69. Let b be (11 - 16)*5/(-5). Let d(w) = b*q(w) - 3*r(w). Let d(y) = 0. What is y?
-25, -1
Let j = -1675 - -1714. Suppose j = 31*l - 23. Find w such that -2/11*w**l + 0 - 10/11*w = 0.
-5, 0
Let j(l) be the third derivative of -49*l**5/60 + 119*l**4/4 - 867*l**3/2 + 46*l**2 + 2. Let j(v) = 0. What is v?
51/7
Let p(d) = 16*d**2 + 12*d - 37. Let n be p(-2). Let w(i) be the third derivative of 0*i + 1/10*i**4 + 0 + 1/150*i**5 - 7/15*i**n - 29*i**2. Factor w(u).
2*(u - 1)*(u + 7)/5
Let z be 37 + 25865/(-700) - 2/40. Let g(d) be the first derivative of z*d - 2/35*d**5 + 0*d**4 + 2/7*d**3 - 2/7*d**2 + 20. Solve g(f) = 0 for f.
-2, 0, 1
Factor 28/9 - 28/9*d**2 - 2/9*d**3 + 2/9*d.
-2*(d - 1)*(d + 1)*(d + 14)/9
Let i = -7 - -9. Suppose 59*g + 26 + 14*g + 4*g**i + 11*g + 21*g = 0. Calculate g.
-26, -1/4
Let j(i) be the second derivative of -32/3*i**3 + 0 - 1/3*i**4 + 164*i + 0*i**2. Solve j(o) = 0.
-16, 0
Let y(w) be the second derivative of 80/3*w**3 - 65/12*w**4 + 1/4*w**5 + 0 + 79*w - 50*w**2. Factor y(t).
5*(t - 10)*(t - 2)*(t - 1)
Let o be 3*((-64)/6 + 8 + 3). Let u(d) be the first derivative of 3/4*d**3 + 3*d + o + 9/4*d**2 + 3/32*d**4. Factor u(f).
3*(f + 2)**3/8
Let b(i) be the first derivative of 2*i**3/3 - 10*i**2 - 192*i - 225. Factor b(s).
2*(s - 16)*(s + 6)
Let u(d) = -10*d - 178. Let l(y) = y + 1. Let c(j) = -5*l(j) - u(j). Let q be c(-34). Let -2/9*x + 2*x**2 + 10/9*x**4 + 26/9*x**q - 4/9 = 0. Calculate x.
-1, 2/5
Factor -22/3*c + 19/3*c**2 - 40/3 + 1/3*c**3.
(c - 2)*(c + 1)*(c + 20)/3
Factor 1768/9*a**3 - 43610/9*a**2 - 2*a**4 + 0 + 9604/9*a.
-2*a*(a - 49)**2*(9*a - 2)/9
Let m(l) = -l**2 + 8*l + 347. Let u be m(23). Let p(n) be the first derivative of 4*n**4 - 6*n**u - 2/3*n**6 + 12 - 8/3*n**3 + 8*n + 0*n**5. Factor p(d).
-4*(d - 1)**3*(d + 1)*(d + 2)
Let m(j) be the third derivative of j**6/40 + 13*j**5/5 + 101*j**4/8 + 25*j**3 + 25*j**2 - 6. Determine y so that m(y) = 0.
-50, -1
Let v(r) be the third derivative of 0*r**5 + 0*r**4 + 0*r - 2 + 5/84*r**8 - 5/14*r**7 + 0*r**3 - 1/6*r**6 + 4*r**2. Solve v(z) = 0.
-1/4, 0, 4
Let m(u) = -u**4 + u**3 + u**2 + u + 1. Let v be 27/(-6) - (0 - 1/2). Let h(z) = -10*z**3 + 26*z**2 - 18*z + 8. Let k(g) = v*m(g) + 2*h(g). Factor k(a).
4*(a - 3)*(a - 1)**3
Let p(j) = -14*j + 33. Let c be p(2). Let -28*m**4 + 28*m**2 + 31*m**5 - 35*m**5 - c*m + 4*m**3 + 5*m = 0. What is m?
-7, -1, 0, 1
Suppose -32 + 6 = -t - 2*v, 2 = t - 4*v. Determine w so that t*w - 21*w**5 + 3*w**2 + 51*w**5 - 10 - 20*w**3 + w**2 + 6*w**4 - 28*w**5 = 0.
-5, -1, 1
Suppose 3*m = -1 + 13. Suppose -597 = -5*s + m*a, -5*s - 2*a = -s - 488. Factor 0*y + 0*y - s*y**3 - 16*y**5 + 24*y**4 + 112*y**3.
-y**3*(4*y - 3)**2
Let i(r) be the third derivative of 1/570*r**5 - 22/57*r**3 + 7/76*r**4 + 0 + 0*r - 176*r**2. Factor i(h).
2*(h - 1)*(h + 22)/19
Suppose -2 = -2*h - 4. Let y(o) = o**5 - o**4 - o**2 + o. Let r(n) = -2*n**5 + 5*n**4 - 8*n**3 - 13*n**2 + 13*n + 32. Let g(b) = h*r(b) - 3*y(b). Factor g(w).
-(w - 2)**2*(w + 2)**3
Let k be (-45)/24*(-2)/3. Let v be ((-22)/(-3))/(23298/9531). Factor -1/2 - k*i - 1/4*i**v - i**2.
-(i + 1)**2*(i + 2)/4
Suppose -2*q + 4*i = -6, 3*q - 1 = 4*i + 8. Let y be ((-10)/3)/((-172 - -124) + 38). Factor -1/3*j**4 + y*j**2 + 0 + 7/3*j - 7/3*j**q.
-j*(