 -1, 1
Suppose 18*y**5 - 409*y**4 + 117*y + 390*y**3 - 1392*y**2 + 159*y + 843*y**3 - 6*y**5 + 82*y**4 = 0. What is y?
0, 1/4, 2, 23
Let u = 1174/7 + -2341/14. Let h = -25 + 51/2. Factor -h*v**3 - 1/2*v**4 + 1/2*v + 0 + u*v**2.
-v*(v - 1)*(v + 1)**2/2
Let v(p) = 15*p**2 - 63*p. Let w = 247 - 243. Let y(x) = 7*x**2 - 31*x. Let d(u) = w*v(u) - 9*y(u). Factor d(g).
-3*g*(g - 9)
Let v(o) be the second derivative of -o**7/420 + o**6/45 + 10*o**3/3 - 6*o - 3. Let z(u) be the second derivative of v(u). Find w such that z(w) = 0.
0, 4
Suppose 0 = -21*j + 18*j + 24. Let m be (10 - 6)/(j/6). Suppose l**4 + 4*l**3 - 2*l + l**4 - l**3 - l**m - 2*l**2 = 0. What is l?
-1, 0, 1
What is m in -153524*m - 180*m**3 - 95*m**2 + 15*m**3 - 6*m**4 - 20*m**5 + 153509*m - 99*m**4 = 0?
-3, -1, -1/4, 0
Factor -12/7*y**3 - 2/7*y**4 + 18/7*y**2 + 0 + 1/7*y**5 + 27/7*y.
y*(y - 3)**2*(y + 1)*(y + 3)/7
Suppose -5*c - 25 = 4*v, 4*c + v - 2 = -11. Let a(n) = 3 - 3 + n + 0*n**2 + n**2. Let p(j) = 2*j**2 + 2*j. Let z(q) = c*p(q) + 4*a(q). Factor z(u).
2*u*(u + 1)
Let j = 276 - 274. What is n in 48*n**5 - 254*n + 320*n**3 + 255*n**4 - 146*n - 280*n**j + 240 - 3*n**5 = 0?
-3, -2, 2/3
Let b(o) = o**5 + o**4 - o**3 + o**2 + o + 1. Let f(j) = 73*j**5 - 172*j**4 + 72*j**3 + 58*j**2 - 27*j - 12. Let q(i) = -2*b(i) - f(i). Let q(c) = 0. What is c?
-2/5, -1/3, 1
Let w(x) = x**5 + 5*x**4 - 2*x**3 - x**2 - x - 1. Let q(u) = -u**5 - 37*u**4 - 105*u**3 + 257*u**2 + 86*u - 265. Let n(r) = -q(r) - 5*w(r). Solve n(y) = 0.
-5, -1, 3/2, 6
Let q = 968/3 + -320. Let c = 2061 + -2061. Factor -2/3*f**3 + 0 + q*f + c*f**2.
-2*f*(f - 2)*(f + 2)/3
Suppose -4*m + 16*h + 49 = 21*h, -2*m = 3*h - 23. Factor -m*w**4 - 2*w**3 + 4*w**4 + 3*w**2 - 4 + 4*w + 2*w**4 + 9*w**4.
-(w - 1)**2*(w + 2)**2
Let o(r) be the third derivative of -r**7/1785 + r**6/170 + 37*r**5/510 + 5*r**4/34 + 1447*r**2. Suppose o(b) = 0. Calculate b.
-3, -1, 0, 10
Suppose -153*m + 155*m = -706. Let r = m + 356. Solve 0 - 6/5*g**2 + 6/5*g**4 - 4/5*g**r + 4/5*g = 0 for g.
-1, 0, 2/3, 1
Let l(j) = 252*j**2 - 168*j + 192. Let g(f) = 93*f**2 - 56*f + 64. Let v(i) = 8*g(i) - 3*l(i). Factor v(y).
-4*(y - 2)*(3*y - 8)
Let u = -45 + 83. Let w = -35 + u. Factor -1/4*s**w + 0 - 5/4*s**2 - s.
-s*(s + 1)*(s + 4)/4
Let w(x) be the second derivative of -5*x**4/12 - 275*x**3/2 + 415*x**2 - 4334*x. Factor w(d).
-5*(d - 1)*(d + 166)
Let p(t) be the second derivative of t**4/42 + 209*t**3/21 + 208*t**2/7 + 556*t. Factor p(r).
2*(r + 1)*(r + 208)/7
Let j = -3455 + 3460. Let n(x) be the second derivative of -x**2 - 1/50*x**j - 7/30*x**4 - 9*x - 11/15*x**3 + 0. Factor n(w).
-2*(w + 1)**2*(w + 5)/5
Let y(z) = z**2 - 7 - 2 - 11*z - 1 + 0*z**2. Let s be y(12). What is x in 100*x**s - 49*x**2 - 36 - 52*x**2 + 12*x = 0?
6
Let j(l) be the second derivative of -l**4/54 + 16*l**3/9 + 80*l**2 + 3262*l. Suppose j(r) = 0. Calculate r.
-12, 60
Let g(v) be the second derivative of 0*v**4 + 0 + 1/2*v**3 + 1/14*v**7 + 0*v**2 + 0*v**6 - 3/10*v**5 + 81*v. Factor g(f).
3*f*(f - 1)**2*(f + 1)**2
Let b = 159201 + -1751209/11. Factor -26/11*v + 0 - b*v**3 + 28/11*v**2.
-2*v*(v - 13)*(v - 1)/11
Suppose -27*i - 30*i + 0*i = -114. Let p(j) be the third derivative of 2/3*j**3 + 0 - 1/4*j**4 - 1/240*j**6 - 23*j**i + 1/20*j**5 + 0*j. Factor p(m).
-(m - 2)**3/2
Let w be -3*(-10)/(-135) + 20/9. Solve -310*s**3 + 119750*s**w - 119262*s**2 + 38*s**4 + 14*s**5 - 38*s**3 - 112*s = 0 for s.
-7, 0, 2/7, 2
Factor -277 + 280/3*a - 1/3*a**2.
-(a - 277)*(a - 3)/3
Suppose n - 8 = -12*r + 9*r, 8*r + 3*n = 24. Let b(h) be the first derivative of -3*h**2 + 1/3*h**3 - 2 + r*h. Factor b(f).
f*(f - 6)
Let i be (5112/(-126) - -41)*(3 - 2). Let -12/7*u - i*u**2 - 12/7 = 0. What is u?
-2
Let g(x) be the first derivative of -4/5*x**3 - 45 + 0*x**2 + 0*x + 1/10*x**4. Solve g(h) = 0 for h.
0, 6
Let p(t) be the first derivative of t**4/12 - 29*t**3/9 - 47*t**2/3 - 64*t/3 + 1453. Let p(n) = 0. Calculate n.
-2, -1, 32
Let x be 6/(-4) - (-2529)/562. Let g(p) be the first derivative of 5*p**4 + 32*p + 22*p**3 + 2/5*p**5 + 40*p**2 + x. Factor g(o).
2*(o + 1)**2*(o + 4)**2
Let o(m) = -m - 2*m + m**3 + 4*m. Let a(q) = -2*q**2 + 2*q + 2. Let n(r) = -3*a(r) + 3*o(r). Suppose n(u) = 0. Calculate u.
-2, -1, 1
Let u(d) = -258*d**4 + 0*d**2 + 259*d**4 + 2*d**2 + d**2. Let i(t) = t**4 + 4*t**2. Let n(p) = -4*i(p) + 5*u(p). Suppose n(g) = 0. What is g?
-1, 0, 1
Factor -55 - 30*x**2 + 505/6*x + 5/6*x**3.
5*(x - 33)*(x - 2)*(x - 1)/6
Let r be (0 + 8)*((-8)/(-30))/((-268)/(-201)). Let c(s) be the first derivative of -8/5*s**3 - 4/25*s**5 + r*s**2 + 4/5*s**4 - 4/5*s + 27. Factor c(f).
-4*(f - 1)**4/5
Suppose i = -7*y + 8*y + 2, -5*i = -3*y - 14. What is k in -18*k**4 + 14 - k**5 - 30*k**3 + 0*k**4 - y*k**5 + 8*k + 4 + 25*k = 0?
-3, -2, -1, 1
Let o be ((-351)/(-45) - 7)/(4/90). Factor -9*m - 20*m**4 - m**5 - 13 + o - 2*m**2 + 17*m**4 + 10*m**3.
-(m - 1)**3*(m + 1)*(m + 5)
Let 0 + 5/2*w**2 - 235/2*w = 0. What is w?
0, 47
Solve -1/7*s**3 - 5/7*s**2 + 1/7*s**5 + 0*s + 0 + 5/7*s**4 = 0 for s.
-5, -1, 0, 1
Factor -24727224/5*x - 5018892*x**2 - 1821/5*x**4 + 0 - 3/5*x**5 - 369054/5*x**3.
-3*x*(x + 1)*(x + 202)**3/5
Let d = 3629/56028 + -7/1334. Let x(w) be the third derivative of -1/210*w**5 - d*w**4 + 0*w + 26*w**2 + 0 + 2/7*w**3. Factor x(s).
-2*(s - 1)*(s + 6)/7
Suppose -168*u = -121*u. Let v(r) be the second derivative of 1/5*r**5 + u*r**2 + 0*r**4 - 2/3*r**3 + 0 - 9*r. Solve v(z) = 0.
-1, 0, 1
Let a be (3/(-15))/((-2)/20). Suppose 49*f**a - 7*f**2 - 3*f - 9*f**3 - 21*f = 0. What is f?
0, 2/3, 4
Let m(x) be the third derivative of x**8/294 + 37*x**7/735 + 9*x**6/140 - 109*x**5/210 - 31*x**4/84 + 24*x**3/7 - 2770*x**2. Suppose m(c) = 0. What is c?
-8, -9/4, -1, 1
Let m(o) be the second derivative of -7*o**4/4 - 801*o**3/2 - 513*o**2 + o + 1239. Find x such that m(x) = 0.
-114, -3/7
Let v(m) = -m**3 - 257*m**2 + 1227*m - 1746. Let z(b) = -128*b**2 + 616*b - 876. Let x(h) = 4*v(h) - 9*z(h). Factor x(s).
-4*(s - 25)*(s - 3)**2
Suppose -3*w - 5*v + 3269 = 0, 0 = -v + 2*v - 1. Let i = w + -1085. Factor 1/8*d**5 - 15/8*d**4 + 125/8 - 55/4*d**2 - 75/8*d + 37/4*d**i.
(d - 5)**3*(d - 1)*(d + 1)/8
Let x(b) be the third derivative of -27*b**7/175 - 456*b**6/25 - 14554*b**5/25 + 43888*b**4/15 + 43264*b**3/15 + 830*b**2 - 4*b. Suppose x(v) = 0. What is v?
-104/3, -2/9, 2
Let b(k) = -2*k**4 - 130*k**3 - 351*k**2 + 23*k + 487. Let l(w) = -w**4 - 130*w**3 - 353*w**2 + 24*w + 496. Let h(m) = 4*b(m) - 3*l(m). Factor h(u).
-5*(u - 1)*(u + 2)**2*(u + 23)
Let j(r) be the third derivative of 3*r**5/100 + 17*r**4/120 - 13*r**3/15 - 2274*r**2. Determine i so that j(i) = 0.
-26/9, 1
Factor -1/3*o**3 + 0 - 308/3*o + 52*o**2.
-o*(o - 154)*(o - 2)/3
Let b(z) be the first derivative of -z**5/10 + 2*z**3/3 - 774. Determine f, given that b(f) = 0.
-2, 0, 2
Factor -2*j**3 + 90 + 35*j + 6078*j**2 - 6088*j**2 - 17*j.
-2*(j - 3)*(j + 3)*(j + 5)
Solve 88/5*a + 6*a**2 + 2/5*a**3 - 24 = 0.
-10, -6, 1
Let s be 5 + -1 + 0 + -5 + (-16)/(-4). Let t(y) be the first derivative of 12 - 8/3*y**s - y - 5/2*y**2 - y**4. Factor t(v).
-(v + 1)*(2*v + 1)**2
Let y be -1 + 2/((-170)/(-45339)). Factor 726/5*q - y + 2/5*q**3 - 66/5*q**2.
2*(q - 11)**3/5
Let w(y) be the first derivative of 3*y**4 - 3/5*y**5 - 145 + 0*y + 19*y**3 + 21*y**2. Determine b so that w(b) = 0.
-2, -1, 0, 7
Let g(j) = j**5 + 11*j**4 + 33*j**3 + 3. Let l(o) = -o**5 - o**4 - 3*o**3 - 1. Let m(f) = -g(f) - 3*l(f). Factor m(w).
2*w**3*(w - 6)*(w + 2)
Let f(y) be the second derivative of -y**4/48 - 91*y**3/24 + 23*y**2/2 + 39*y + 4. Let f(j) = 0. What is j?
-92, 1
Factor -206 - 1/4*u**2 + 825/4*u.
-(u - 824)*(u - 1)/4
Suppose 2*d - 8*d = -12. Factor -d + 66*k**2 - 133*k**2 + 69*k**2.
2*(k - 1)*(k + 1)
Let j(a) = 5*a**3 - 10*a**2 + 7*a + 130. Let l(o) = o**3 - 3*o**2 + 2*o + 32. Let h(i) = 2*j(i) - 9*l(i). Let h(w) = 0. Calculate w.
-7, -2, 2
Let p = -116913/2 + 58458. Factor -2*l**4 + 0 - 1/2*l**5 + 0*l - p*l**3 + 0*l**2.
-l**3*(l + 1)*(l + 3)/2
Let r(f) be the first derivative of 5*f**4/4 - 380*f**3 + 63825*f**2/2 + 132250*f - 2158. Factor r(b).
5*(b - 115)**2*(b + 2)
Let p(f) be the second derivative of 4*f + 1 + 15/2*f**2 + 5/6*f**3 - 1/4*f**5 - 5/4*f**4. Find l such that p(l) = 0.
-3, -1, 1
Let t(v) be the first