4*y - x.
4*(y - 1)*(y + 4)/3
Let g = 1441 - 1436. Suppose -g*v + 56 = 3*t + 41, -15 = 3*t. Suppose 6*z**5 + 0 - 14/3*z**3 + v*z**2 - 4/3*z - 6*z**4 = 0. What is z?
-1, 0, 1/3, 2/3, 1
Let j(c) = -3*c**2 - 22*c - 5. Let p be j(-7). Factor 11*q**p - q**5 + 25*q**3 + 0*q**4 - 4*q**5 + 5*q**4 + 4*q**2.
-5*q**2*(q - 3)*(q + 1)**2
Let n be (-30 - -171) + -6 + 0. Let c = -131 + n. Let -14/9*x**c + 2/9*x**5 - 28/9*x + 16/9 + 26/9*x**3 - 2/9*x**2 = 0. Calculate x.
-1, 1, 2, 4
Let j = 62623/125302 - -14/62651. Solve -j*n - 6 + 1/2*n**2 = 0.
-3, 4
Let u(v) = v**2 - 21*v - 21. Let d be u(19). Let k = d - -71. What is o in 32*o**4 - 4*o**3 - k*o**4 + 19*o**3 = 0?
-3/4, 0
Let z(r) = 3*r**5 - 72*r**4 + 76*r**3 + 67*r**2 - 89*r. Let f(g) = g**5 - 36*g**4 + 38*g**3 + 34*g**2 - 43*g. Let q(a) = -5*f(a) + 2*z(a). Factor q(j).
j*(j - 1)**2*(j + 1)*(j + 37)
Let u(r) = -9*r**3 - 1218*r**2 - 123621*r - 242388. Let v(k) = 17*k**3 + 2435*k**2 + 247241*k + 484779. Let m(z) = 11*u(z) + 6*v(z). Solve m(g) = 0.
-201, -2
Let m(q) be the second derivative of -2*q**5/35 - 19*q**4/42 + 40*q**3/21 + 208*q**2/7 + 144*q. Solve m(t) = 0.
-4, 13/4
Let l(j) be the first derivative of -j**3/3 - 365*j**2/2 - 1672. Let l(b) = 0. What is b?
-365, 0
Let v(a) be the second derivative of -19*a - 1/30*a**6 - 3/5*a**2 + 7/100*a**5 + 0 + 23/60*a**4 + 1/6*a**3. Find o such that v(o) = 0.
-1, 2/5, 3
Let d(i) be the second derivative of -44*i + 1 + 0*i**3 - 4/15*i**6 - 2/21*i**7 + 8/3*i**4 + 0*i**2 + 4/5*i**5. Factor d(w).
-4*w**2*(w - 2)*(w + 2)**2
Let p(o) be the third derivative of -o**7/12600 - o**6/1800 + 23*o**4/24 - 54*o**2 + 1. Let j(a) be the second derivative of p(a). Find w such that j(w) = 0.
-2, 0
Let t(j) be the first derivative of -55 + 2*j**2 - j**2 - 12*j + 3*j**3 + 3*j**2 + 2*j**2. Find b such that t(b) = 0.
-2, 2/3
Let o(t) = 4*t**3 - 95*t**2 + 26*t - 22. Let l be o(23). Let i = 1016 + l. Factor -1/2*j**4 + 0*j**2 + 0*j + 1/4*j**3 + 0 + 1/4*j**i.
j**3*(j - 1)**2/4
Let z(q) be the second derivative of 13*q + 0*q**3 + 0*q**6 + 2 + 7/30*q**5 + 0*q**2 + 1/3*q**4 - 1/63*q**7. Suppose z(n) = 0. Calculate n.
-2, -1, 0, 3
Factor -229*t - 52441 - 1/4*t**2.
-(t + 458)**2/4
Suppose 0 = -0*v - 4*v + 16. Let u(d) = -3*d**2 + 5*d + 2. Let z(q) = q**2 - q + 1. Let r(i) = v*z(i) + 2*u(i). Factor r(n).
-2*(n - 4)*(n + 1)
Let m(v) be the second derivative of -9/7*v**2 - 1/84*v**4 + 2*v + 19 + 3/14*v**3. Let m(u) = 0. What is u?
3, 6
Let h = 75798 - 378952/5. Solve 36/5 - h*t + 2/5*t**2 = 0.
1, 18
Let g(a) be the first derivative of -23*a**9/16632 + a**8/4620 - 41*a**3/3 - a - 239. Let f(w) be the third derivative of g(w). Factor f(d).
-2*d**4*(23*d - 2)/11
Let n(j) be the third derivative of -1/18*j**3 + 0 + 1/36*j**4 - 76*j**2 + 19/180*j**5 - 2*j - 1/18*j**6. Determine v so that n(v) = 0.
-1/4, 1/5, 1
Let j(d) be the first derivative of 0*d + 2/3*d**6 + 37/4*d**4 - 21/5*d**5 - 8*d**3 + 2*d**2 + 120. Factor j(r).
r*(r - 2)**2*(r - 1)*(4*r - 1)
Let j(q) = -q - 18. Let o be j(-19). Let b be (105/9 - o)/(1/105). Determine k so that -105*k**3 - 3000 - b*k + 51*k**3 + 51*k**3 - 90*k**2 + 220*k = 0.
-10
Let k = -10543 + 63259/6. Let v(w) be the first derivative of -2*w + 7 + w**2 - k*w**3. Factor v(s).
-(s - 2)**2/2
Factor -2*w**2 - 3/2*w + 2*w**4 + 0 + w**3 + 1/2*w**5.
w*(w - 1)*(w + 1)**2*(w + 3)/2
Suppose 0*z = 17*z - 2397. Factor 146*f**2 + 18*f + 8 + 143*f**2 + 2*f**3 - 418*f**2 + z*f**2.
2*(f + 1)**2*(f + 4)
Let k(h) = h**4 + h**3 - h + 6. Let l(r) = 32*r**4 + 252*r**3 + 108*r**2 - 6*r + 36. Let y(d) = -12*k(d) + 2*l(d). Factor y(b).
4*b**2*(b + 9)*(13*b + 6)
Let j = -25991/155 - -854/5. Let a = -78/31 + j. Factor a*c + 3/5*c**4 + 9/5*c**2 + 9/5*c**3 + 0.
3*c*(c + 1)**3/5
Let h = -28 - -30. Let -154*j**2 + 6*j + 302*j**h - 159*j**2 = 0. Calculate j.
0, 6/11
Let w = 8099/23 + -352. Let x = 35/92 - w. Factor -x*y**4 - y + 0*y**2 + 0 + 3/4*y**3.
-y*(y - 2)**2*(y + 1)/4
Let f be 102/136 - (-1)/(-2). Solve -1/4*m + 3/2 - f*m**3 - m**2 = 0 for m.
-3, -2, 1
Factor 28/3*u**2 + 0 + 0*u + 9*u**4 + 193/3*u**3.
u**2*(u + 7)*(27*u + 4)/3
Let l(d) = -d**3 + 112*d**2 + 365*d + 246. Let r(j) = -j**3 - 113*j**2 - 365*j - 244. Let o(n) = 3*l(n) + 2*r(n). Let o(f) = 0. What is f?
-2, -1, 25
Let r be 18/(31 + -13)*(-16)/(-24). What is i in -2/3*i**2 - 2/3*i + 2/3 + r*i**3 = 0?
-1, 1
Let k(f) be the first derivative of -f**5/100 - f**4/30 + f**3/30 + f**2/5 + 50*f + 5. Let m(r) be the first derivative of k(r). Factor m(b).
-(b - 1)*(b + 1)*(b + 2)/5
Let a(v) = 9*v**3 + 11*v**2 - 30*v - 36. Let s(o) = -11*o**3 - 12*o**2 + 29*o + 35. Let x(p) = 5*a(p) + 4*s(p). Factor x(h).
(h - 4)*(h + 1)*(h + 10)
Factor -748*l - 317*l - 760*l - 700*l - 3*l**2 - 535*l.
-3*l*(l + 1020)
Let x(j) = j**3 + j**2 + j + 1. Let g(v) = 3*v**3 + 9*v**2 + v - 5. Let m be 4 + 6*1/(-6)*-3. Suppose -15 = -4*s - m. Let y(i) = s*x(i) - g(i). Factor y(p).
-(p - 1)*(p + 1)*(p + 7)
Let v = -1723 + 1727. Suppose 0 = -5*k - i + 5, 0 = v*k + 4*i - 20 - 0. Determine f, given that 1/4*f**2 + k - 2*f = 0.
0, 8
Let -3*r**3 + 14358*r - 3356017 + r**3 - 45108*r + 498*r**2 + 3324767 = 0. Calculate r.
-1, 125
Let d(m) be the third derivative of 143/270*m**5 + 72*m**2 + 121/1080*m**6 + 4/27*m**3 + 23/54*m**4 + 0 + m. Suppose d(j) = 0. Calculate j.
-2, -2/11
Let w be (-1300)/(-3250) - (-74)/15. Factor -2/9*x**2 + 50/9*x - w.
-2*(x - 24)*(x - 1)/9
Let p(n) be the first derivative of -1/2*n**4 - 12 - 1/80*n**5 - 8*n**3 - 11*n**2 + 0*n. Let w(x) be the second derivative of p(x). What is i in w(i) = 0?
-8
Suppose -213440*d - 173*d**3 + 211600 + 261*d**3 - 92*d**3 + 1844*d**2 = 0. What is d?
1, 230
Let p be (1500/90)/1*((-9)/(-6))/1. Let g(v) be the first derivative of -p + 2*v**2 + 24*v - 4/3*v**3. What is k in g(k) = 0?
-2, 3
Suppose -t + 40 - 9 = -w, 0 = -5*t - 5*w + 185. Let x(r) be the first derivative of 2/21*r**3 + 18/7*r - 10/7*r**2 - t. Factor x(y).
2*(y - 9)*(y - 1)/7
Let q(g) be the first derivative of -g**4/2 + 52*g**3/3 + 11*g**2/2 + 35. Let j(a) = -a**3 + 17*a**2 + 4*a. Let h(m) = -11*j(m) + 4*q(m). Factor h(x).
3*x**2*(x + 7)
Let d(n) be the second derivative of -n**7/147 - 2*n**6/21 - 3*n**5/7 + 45*n**3/7 + 162*n**2/7 + 7008*n. Factor d(i).
-2*(i - 2)*(i + 3)**4/7
Let z(s) = -s**2 + s - 2. Let t(b) = -b**2 - 5*b - 6. Let d(p) = 1. Let v(j) = 2*d(j) - t(j). Let l(a) = v(a) + 4*z(a). Let l(o) = 0. Calculate o.
0, 3
Let b(w) be the first derivative of -1/30*w**4 + 192 - 32/15*w**2 - 64/15*w - 4/9*w**3. Find m, given that b(m) = 0.
-4, -2
Let r = -183 + 189. Find h such that 35*h**4 + 25*h**5 - 8*h**3 - 1 + 3067*h**2 - 11*h - r*h**3 - 3101*h**2 = 0.
-1, -1/5, 1
Let m = 3/8 - -7/24. Let p be (0 - -5) + 3 + -6. Determine t so that m*t**3 + 0 + 2*t**p + 4/3*t = 0.
-2, -1, 0
Let k(o) be the third derivative of 0*o - 1/60*o**6 - 529*o**4 + 97336/3*o**3 + 0 + 23/5*o**5 - 150*o**2. What is q in k(q) = 0?
46
Let z = -30743/6 - -5124. Let m(w) be the second derivative of z*w**4 - 4*w**2 + 2/3*w**3 + 0 - 30*w - 1/20*w**5. Solve m(i) = 0.
-2, 2
Factor 0*b + 0*b**2 + 72*b**3 + 1/7*b**4 + 0.
b**3*(b + 504)/7
Let o be (760 + -2)*12/24. Let q = -379 + o. Factor -1/2*n**4 + 0*n + 1/8*n**5 + q + 0*n**2 + 1/2*n**3.
n**3*(n - 2)**2/8
Find w, given that -2*w - 3*w**2 + 135 - 25*w + 15*w + 0 = 0.
-9, 5
Let u(q) be the first derivative of 0*q**2 - 32*q + 1/3*q**3 - 1/6*q**4 + 14. Let i(w) be the first derivative of u(w). Find g, given that i(g) = 0.
0, 1
Let m be (3/4)/((-26)/(-4)*(-819)/(-3042)). Determine v so that -360/7 + m*v**3 - 348/7*v - 78/7*v**2 = 0.
-2, 30
Let y(c) = 4*c**2 + 18 - c**2 - 2*c**2 - 5 + 13*c. Let m be y(-13). Determine u, given that -5*u**3 - 8 + 21 - m + 20*u**2 - 15*u = 0.
0, 1, 3
Let r(v) = 6*v**2 + 25*v + 4. Let c be r(-4). Factor c*w**2 - 2*w**3 - 7*w**2 + 90*w - 94*w + w**4.
w*(w - 4)*(w + 1)**2
Let d(j) be the third derivative of 0*j - 1/9*j**3 + 0 - 11/360*j**6 + 1/210*j**7 - 1/72*j**4 + 11/180*j**5 + 39*j**2. Factor d(r).
(r - 2)*(r - 1)**2*(3*r + 1)/3
Suppose -6*y + 14 - 27 = -13. Let w(o) be the second derivative of -2/17*o**3 + 1/102*o**4 + 0*o**2 + 11*o + y. Factor w(q).
2*q*(q - 6)/17
Factor 0 - 3/2*g**3 + 17/2*g**2 + 3*g.
-g*(g - 6)*(3*g + 1)/2
Let l(m) = -17*m**2 - 893*m - 98578. Let z(x) = -20*x**2 - 894*x - 98580. Let f(u) = -6*l(u)