, 1, 4
Suppose -255/7*v + 46/7*v**2 + 1/7*v**3 + 0 = 0. What is v?
-51, 0, 5
Let s = 133 + -7. Suppose 0 = s*j - 124*j - 10. Let -14*v + 3*v**2 + j*v - 6*v = 0. Calculate v.
0, 5
Suppose -o = 3*d - 135, -2*d + 405 = -7*o + 10*o. Suppose -t - 2*t + 9 = 0. Determine z, given that -134*z**3 - o*z**t + 266*z**3 = 0.
0
Determine y, given that -470/13 + 2/13*y**3 - 938/13*y - 466/13*y**2 = 0.
-1, 235
Let x(h) = -1 + 32*h**2 - 7 + 13 - 8*h**4 + 5*h**3. Let s(r) = -20*r**4 + 12*r**3 + 80*r**2 + 12. Let i(l) = 5*s(l) - 12*x(l). Factor i(o).
-4*o**2*(o - 2)*(o + 2)
Let x(s) be the first derivative of -16 - 3*s + 0*s**2 + 1/4*s**4 + 3/4*s**3 - 3/40*s**5. Let p(j) be the first derivative of x(j). Solve p(w) = 0 for w.
-1, 0, 3
Let x(o) be the third derivative of o**6/80 - 4*o**5/5 - 71*o**4/16 + 51*o**3/2 + 3*o**2 + 128. Solve x(m) = 0.
-3, 1, 34
Suppose 46*z - 1368 = -59*z - 47*z. Let v(o) be the first derivative of o**4 + 2/3*o**3 - 1/6*o**6 - z - 2*o - 3/2*o**2 + 0*o**5. Factor v(t).
-(t - 2)*(t - 1)*(t + 1)**3
Let k(z) = -z**2 - 4*z + 14. Let r be k(-6). Let q be ((-3)/r)/(12/(-32)). Factor -2*t**2 - 2*t**2 - 5*t**q + 5*t**3 + 14*t**2.
-5*t**2*(t - 2)*(t + 1)
Let b = 82299/5 + -16459. Let y(p) be the second derivative of -b*p**6 + 6*p**3 - 16/3*p**4 + 2/21*p**7 + 0 + 14/5*p**5 - 4*p**2 - 34*p. Factor y(g).
4*(g - 2)*(g - 1)**4
Let z(o) be the third derivative of o**8/1176 + o**7/147 + o**6/70 - o**5/105 - o**4/12 - o**3/7 + 16*o**2 - 156*o. What is f in z(f) = 0?
-3, -1, 1
Let l(g) be the second derivative of -1/2*g**3 - 288*g + 9*g**2 - 1/2*g**6 - 69/20*g**5 - 25/4*g**4 + 0. Solve l(y) = 0.
-3, -1, 2/5
Solve 41*m**3 - 2488*m + 275*m**2 + 737*m**2 + 348 - 49*m**3 + 644 = 0 for m.
1/2, 2, 124
Let f(p) be the first derivative of -p**5/30 - 31*p**4/36 + 25*p**3/9 - 17*p**2/6 + 61*p + 95. Let s(b) be the first derivative of f(b). Factor s(q).
-(q - 1)*(q + 17)*(2*q - 1)/3
Let n(m) = 21*m**3 - 6921*m**2 - 8958*m - 2016. Let j(s) = -7*s**3 + 2306*s**2 + 2986*s + 673. Let u(v) = -8*j(v) - 3*n(v). Factor u(k).
-(k - 332)*(k + 1)*(7*k + 2)
Let t(i) = 17*i**2 - 27*i - 68. Let g(w) = 3*w**2 - 2*w - 4. Let c(q) = 6*g(q) - t(q). Suppose c(a) = 0. Calculate a.
-11, -4
Solve 168*q + 2617*q**2 - 1059*q**3 - 2587*q**2 + 1056*q**3 = 0.
-4, 0, 14
Let a(s) be the second derivative of -10*s**3 + 35*s**2 + 0 + 1/8*s**5 + 5/8*s**4 + 276*s. Find u, given that a(u) = 0.
-7, 2
Let i(j) be the first derivative of -j**7/168 - j**6/72 + j**5/3 + 5*j**4/2 - j**3/3 - j - 26. Let o(k) be the third derivative of i(k). Factor o(n).
-5*(n - 3)*(n + 2)**2
Let z(u) be the third derivative of u**6/1080 + u**5/20 + 4*u**4/9 + 45*u**3/2 + 21*u**2. Let r(a) be the first derivative of z(a). Let r(m) = 0. What is m?
-16, -2
Suppose 14*n - 15*n + 7 = -3*p, 3 = n - 5*p. Let x be (-10)/(-5)*13/n. Factor 1/6*f**x + 2/3*f + 2/3.
(f + 2)**2/6
Let f = -1240 + 1212. Let t be -1 + 92/f + 10. Solve t*c + 50/7*c**4 - 6*c**2 - 40/7*c**3 - 8/7 = 0.
-1, 2/5, 1
Suppose 8*d**4 - 256 - 87*d**3 - 640*d - 434*d**5 - 31*d**3 + 866*d**5 - 430*d**5 - 508*d**2 = 0. What is d?
-8, -2, -1, 8
What is x in -1892 - 5261 - 1443*x - 4207*x - 434*x + 1065 + 4*x**2 = 0?
-1, 1522
Let p = 9576 - 9571. Solve 1/4*t**p + 0 - 1/4*t**3 + 0*t - 1/4*t**4 + 1/4*t**2 = 0 for t.
-1, 0, 1
Let w(b) be the second derivative of -7/8*b**4 + 3/20*b**5 + 5*b + 13/2*b**2 + b**3 + 0. Let t(g) be the first derivative of w(g). Factor t(y).
3*(y - 2)*(3*y - 1)
Let q = 139324 - 139321. Let n be ((-3)/(-1))/(9/6). Let 8*g**n + 5/2*g + 0 + 3/2*g**q = 0. What is g?
-5, -1/3, 0
Let p be -2 - 1*(-671)/220. Let w(h) be the first derivative of 0*h**2 + 0*h - 3/2*h**4 - 1/8*h**6 - 4*h**3 - 16 + p*h**5. Solve w(b) = 0.
-1, 0, 4
Suppose -24*m - 531/7 + 3/7*m**2 = 0. Calculate m.
-3, 59
Let d = 163924/117 + -12604/9. Let i be (1 - 185/195)*6. What is p in 8/13*p**2 - i*p**3 + 6/13*p - 2/13*p**5 + 0 - d*p**4 = 0?
-3, -1, 0, 1
Let d(a) be the third derivative of -a**7/315 + a**6/60 - a**5/45 - 1518*a**2. Factor d(i).
-2*i**2*(i - 2)*(i - 1)/3
Let j(o) = -o**2 + o + 424. Let a be j(21). Let t(m) be the first derivative of 5/3*m**3 + 4*m + a*m**2 - 10 + 1/4*m**4. What is x in t(x) = 0?
-2, -1
Let l = -2380731/5 - -476147. Let a be ((-3)/2)/((-15)/4). Factor l*n**4 + 18/5*n**2 + a - 14/5*n**3 - 2*n.
2*(n - 1)**3*(2*n - 1)/5
Let o(a) be the second derivative of -1/20*a**5 + 1/6*a**3 - 44*a + 0 - 1/4*a**4 + 3/2*a**2. Factor o(x).
-(x - 1)*(x + 1)*(x + 3)
Suppose -12*v - 18 = -21*v. What is b in 27*b - 4*b**v + 36*b + 31*b - 110*b + 48 = 0?
-6, 2
Let a(r) = 4*r - 21. Let o be a(6). Let i be 5 + 4 - o - (-2 - -6). Factor 2481*d**3 - 2484*d**3 + 4 + 2 + 12*d**i - 15*d.
-3*(d - 2)*(d - 1)**2
Let a(q) = 2*q**2 - 2. Let c(v) = -17*v**2 + 5142*v - 2203333. Let p(l) = -7*a(l) - c(l). Factor p(i).
3*(i - 857)**2
Let m be (((-1840)/24)/(-46))/((-35)/(-9 - 0/1)). Let i be (-2)/(-6) - 1/21. Let 4/7*y**2 + 3/7*y - 6/7*y**3 + m*y**5 - 2/7 - i*y**4 = 0. What is y?
-1, 2/3, 1
Let 4*w**5 + 8*w**3 - 79*w**2 + 23*w**2 - 22*w + 36 + 20*w**4 + w + 9*w = 0. Calculate w.
-3, -1, 1
Let n(v) = 4*v**4 + 50*v**3 + 70*v**2 + 48*v + 6. Let a(h) = 4*h**4 + 47*h**3 + 71*h**2 + 48*h + 5. Let p(l) = -6*a(l) + 5*n(l). Factor p(r).
-4*r*(r + 1)*(r + 3)*(r + 4)
Let x be ((-12)/(-27))/((-14)/(-63)). Solve 335*d + 3 - x - 12*d**2 + 4*d**4 - 343*d - 1 = 0.
-1, 0, 2
Let h = 25 - 24. Suppose 2*v - h - 3 = 0. Determine g so that -g**2 + 12 - 2*g + g - g - g**v = 0.
-3, 2
Let k(h) be the second derivative of -h**6/10 - 27*h**5/10 - 33*h**4/4 - 8*h**3 - 10099*h. Factor k(m).
-3*m*(m + 1)**2*(m + 16)
Let n be 379 - 356 - (-57)/(-3). Let a(k) be the third derivative of 1/390*k**5 + 1/39*k**n + 0 + 42*k**2 + 0*k + 0*k**3. Let a(x) = 0. Calculate x.
-4, 0
Suppose -3*p = -10*p + 21. Suppose p*q - 2*q - 20 = 0. Factor q*u**2 - 13*u**2 - 10*u + 0*u - 12*u**2.
-5*u*(u + 2)
Let v(h) be the first derivative of 1/10*h**2 - 7/30*h**3 + 9/40*h**4 + 1/60*h**6 + 35 + 0*h - 1/10*h**5. Factor v(d).
d*(d - 2)*(d - 1)**3/10
Let d(p) be the second derivative of p**6/6 + 25*p**5/4 - 815*p**4/12 - 1985*p**3/6 - 525*p**2 + p + 1271. Suppose d(u) = 0. Calculate u.
-30, -1, 7
Suppose d - b = 6, -2 + 7 = b. Suppose 0 = 21*v - d*v. Factor 8/3*m**2 + 1/3*m**4 + v + 5/3*m**3 + 4/3*m.
m*(m + 1)*(m + 2)**2/3
Let l(t) = -5*t**2 + t - 2. Let f(z) = 220*z**3 + 348*z**2 - 16*z + 48. Let p(m) = f(m) + 24*l(m). Factor p(y).
4*y*(y + 1)*(55*y + 2)
Let z(s) = s**2 + 64*s. Let w be z(-64). Let h(q) be the second derivative of -9*q + w + 1/7*q**4 - 1/35*q**5 - 8/7*q**2 + 0*q**3. Factor h(v).
-4*(v - 2)**2*(v + 1)/7
Let a(p) be the third derivative of p**7/1155 - 16*p**6/33 + 1280*p**5/11 - 512000*p**4/33 + 40960000*p**3/33 + 184*p**2 + 4. Find d such that a(d) = 0.
80
Suppose -5*g - 180 = -3*y - 8*g, 184 = 3*y + g. Factor -266*u**2 - 14 + y + 1349*u**2 - 210*u - 246*u.
3*(19*u - 4)**2
Suppose 0 = -230*x - 2*x + 464. Factor 3/5*l**x - 14 + 103/5*l.
(l + 35)*(3*l - 2)/5
Let k(b) = -46*b**2 + 2688*b + 17. Let h(r) = 16*r**2 - 896*r - 6. Let n(p) = -17*h(p) - 6*k(p). Factor n(x).
4*x*(x - 224)
Let d = -169 - -157. Let z(l) = -l**2 - 19*l - 84. Let j be z(d). Find b, given that -2/17*b + 2/17*b**3 + 2/17*b**4 - 2/17*b**2 + j = 0.
-1, 0, 1
Let q = -9413 + 9418. Let s(c) be the second derivative of 0*c**2 - 1/14*c**4 - 3/140*c**q + 0 - 1/14*c**3 + 8*c. Suppose s(d) = 0. Calculate d.
-1, 0
Suppose 56*j - 161 = 1015. Let n(g) be the first derivative of g**3 + j + 1/4*g**4 + 3/2*g**2 + g. Let n(f) = 0. What is f?
-1
Suppose 4*h + 17 = 5*c, 0 = 5*c + h - 0*h - 27. Solve 2200*j**4 + 3121 + 20525*j**3 + 30375*j - 10*j**c + 90*j**5 + 524 + 68175*j**2 = 0 for j.
-9, -1/4
Let d = 7781/57 + -2581/19. Suppose d*p**4 + 0 - 16/3*p**3 + 40/3*p**2 - 32/3*p = 0. Calculate p.
0, 2, 4
Suppose -17*f + 201 = -224. Let g be (1/(-21))/(((-125)/60)/f). Suppose 2/7*n - 4/7*n**4 + g*n**2 + 0*n**3 - 2/7*n**5 + 0 = 0. Calculate n.
-1, 0, 1
Let p(g) = 156*g + 4529. Let f be p(-29). Let t(m) be the second derivative of -2*m - 1/60*m**f - 4/9*m**3 - 1/6*m**4 + 0 + 0*m**2. Let t(x) = 0. Calculate x.
-4, -2, 0
Let f(m) be the first derivative of -m**3/12 - 1419*m**2/4 - 2013561*m/4 - 9146. Suppose f(c) = 0. Calculate c.
-1419
Solve -8*f**3 + 12*f**4 - 20*f**2 + 23545469*f - 23545469*