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Let f be -404 - (18 + -5 + -7). Let i = f - -413. Suppose -2/3*y**4 + 0*y**2 + 4/9*y**i + 2/9*y**5 + 0*y + 0 = 0. What is y?
0, 1, 2
Let t be (35/15)/((-20)/4). Let l = 11/5 - t. Suppose 14/3*b**5 - 32/3*b**4 + 0*b + 0 + l*b**3 + 0*b**2 = 0. Calculate b.
0, 2/7, 2
Let q(l) be the first derivative of l**3/27 + 164*l**2/9 + 652*l/9 - 2764. What is d in q(d) = 0?
-326, -2
Suppose -301 - 9 = -10*w. Find b such that 45*b + w*b - 11 - 6*b**2 + 19 + 18 = 0.
-1/3, 13
Let l(g) = -g**3 - 5*g**2 + 14*g + 14. Let c be l(-7). Suppose -c*r + 12 = -16. Determine b, given that 16*b - 3*b**2 + 180 + 0*b**2 + 8*b**r - 76*b = 0.
6
Factor -3200/7 - 240/7*w + 4/7*w**3 + 48/7*w**2.
4*(w - 8)*(w + 10)**2/7
Factor -588/11*s + 0 - 2/11*s**3 + 298/11*s**2.
-2*s*(s - 147)*(s - 2)/11
Let m be 19/231 + 1 + (-5)/((-17655)/214). Factor 2*c**3 + 0 - m*c + 24/7*c**2.
2*c*(c + 2)*(7*c - 2)/7
Suppose 0 = -c - 9*a + 1158 - 1164, -3*c - 3*a = -6. Find q such that -24/5*q**2 - 16/5 - 4/5*q**c - 36/5*q = 0.
-4, -1
Let r be (-4)/(-12)*66/77. Let t be -2 + ((2016/(-49))/8)/(-2). Find i, given that -r*i**2 + t + 2/7*i = 0.
-1, 2
Let u(m) be the second derivative of 1/20*m**4 + 7*m**2 + 0 + 11*m - 1/100*m**5 - 1/10*m**3. Let j(s) be the first derivative of u(s). Factor j(i).
-3*(i - 1)**2/5
Let x(i) be the third derivative of -i**5/210 + 59*i**4/84 - 220*i**3/21 - i**2 + 103*i - 2. Let x(a) = 0. Calculate a.
4, 55
Suppose -15*m = -585 + 135. Suppose 3 = -3*c, -33 = -3*i + 3*c - m. Factor -2/7*x**2 - 10/7*x + i.
-2*x*(x + 5)/7
Let t(s) = -21*s**2 - 19*s - 26. Let y(l) = 10*l**2 + 10*l + 12. Let q = -401 - -395. Let r(z) = q*t(z) - 13*y(z). Determine w so that r(w) = 0.
-4, 0
Let f(u) be the first derivative of -u**3/9 + 3133*u**2/3 - 9815689*u/3 - 7179. Solve f(s) = 0 for s.
3133
Let h(q) be the first derivative of 169 + 4/3*q**3 + 0*q**2 + q**4 + 0*q. What is o in h(o) = 0?
-1, 0
Let w = -814 - -816. Let t be w/13 + (-1406)/(-494). Find i, given that 0 + 0*i - 2/7*i**4 + 0*i**2 + 0*i**t = 0.
0
Let v(p) = 60*p**3 - p + 1. Let f(u) = 122*u**3 - 86*u**2 + 548*u + 8752. Let t(r) = -2*f(r) + 4*v(r). Suppose t(a) = 0. What is a?
-7, 25
Let j be (-6 - (-24622)/728 - 21) + -1 + (-33)/(-12). Suppose -33/7*i**2 - 24/7*i - 3/7*i**3 + j = 0. Calculate i.
-10, -2, 1
Let k(i) be the second derivative of -i**5/140 - 5*i**4/42 + i**3/42 + 5*i**2/7 - 12*i + 122. Factor k(w).
-(w - 1)*(w + 1)*(w + 10)/7
Let a(u) be the second derivative of u**4/24 - 33*u**3/4 - 25*u**2 - 175*u + 4. Determine z, given that a(z) = 0.
-1, 100
Let g(t) be the first derivative of t**6/300 - 3*t**5/50 - 7*t**4/20 - 11*t**3/15 - 53*t**2/2 + 78. Let w(k) be the second derivative of g(k). Factor w(o).
2*(o - 11)*(o + 1)**2/5
Let c(o) = o**3 + o**2 + o + 1. Let m(k) = 3*k**3 + 305*k**2 - 2845*k + 7005. Let q(r) = 10*c(r) - 2*m(r). Find w, given that q(w) = 0.
5, 140
Factor 27648 + 1155/4*q**2 - 3/4*q**3 - 27936*q.
-3*(q - 192)**2*(q - 1)/4
Let w(g) = -2*g**4 + 3*g**3 + 16*g**2 + 15*g + 4. Let y(x) = -3*x**4 + 7*x**3 + 31*x**2 + 29*x + 8. Let l(b) = 5*w(b) - 3*y(b). Let l(a) = 0. Calculate a.
-2, -1
Let u(p) be the second derivative of -3*p**5/100 - 21*p**4/10 - 8*p**3 - 66*p + 22. Factor u(c).
-3*c*(c + 2)*(c + 40)/5
Let v(r) be the first derivative of 2/3*r**3 - 2*r + 1/10*r**4 - 1/5*r**2 - 113. Factor v(b).
2*(b - 1)*(b + 1)*(b + 5)/5
Let c(n) be the second derivative of n**4/32 + 241*n**3/8 - 5290*n. Factor c(v).
3*v*(v + 482)/8
Let n = 377692 + -755371/2. Factor 1 - 15/2*t + n*t**2.
(t - 1)*(13*t - 2)/2
Let k = 214 + -214. Suppose 3*w - 2*w - 3 = k. Find r, given that 6/5*r**4 + 0 - 6/5*r**2 + 2/5*r**w + 0*r - 2/5*r**5 = 0.
-1, 0, 1, 3
Suppose 0 = -u - r + 10 + 29, 3*u + r = 119. Let -95*d**4 + 20*d**5 + 205*d**3 + 136*d**4 + u*d**2 + 144*d**4 = 0. What is d?
-8, -1, -1/4, 0
Let z be ((-22794)/(-917))/(30/21). Find j such that 129/5*j - 9/5*j**3 + z*j**2 + 33/5 = 0.
-1, -1/3, 11
Let v(b) = -5*b**2 - 251*b + 244. Let j(c) = -6*c**2 - 254*c + 245. Let d(g) = 4*j(g) - 5*v(g). Solve d(n) = 0.
-240, 1
Let i(r) be the first derivative of r**7/5880 - r**6/840 + r**4/42 - r**3/3 + 39*r - 40. Let z(l) be the third derivative of i(l). Let z(w) = 0. What is w?
-1, 2
Let l(g) = -g**3 + g**2 - 3. Let o(z) = -2*z**3 - 103*z**2 + 380*z - 381. Let x(u) = -7*l(u) + o(u). Solve x(v) = 0 for v.
2, 18
Let v be (-27 - -35) + 152 + 1. Let g be v/280 - (-3 - (-108)/32). Find t, given that 2/5 - 3/5*t**3 - 1/5*t**2 + 3/5*t - g*t**4 = 0.
-2, -1, 1
Suppose -102*s - 220*s**3 - 1504*s**2 + 52*s**4 - 2*s**5 - 2028*s - 673890 + 672990 = 0. Calculate s.
-2, -1, 15
Determine l, given that -93987/2 + 531*l - 3/2*l**2 = 0.
177
Let g(x) be the first derivative of 0*x - 14 - 4/3*x**3 + 0*x**2 + 1/48*x**6 + 1/48*x**5 - 5/24*x**4. Let i(p) be the third derivative of g(p). Factor i(j).
5*(j + 1)*(3*j - 2)/2
Suppose 51*k = 53*k + 756. Let w = k - -378. Determine m so that w + 1/12*m + 1/4*m**3 + 1/4*m**2 + 1/12*m**4 = 0.
-1, 0
Let a(o) = 51*o**2 + 919*o + 18. Let w be a(-18). Let x(z) be the second derivative of 8*z**2 + 6*z**3 + 2*z**4 - 9*z + 1/5*z**5 + w. Factor x(p).
4*(p + 1)**2*(p + 4)
Let t = -525510 - -2627551/5. Factor -36/5 + t*o**2 - 7*o.
(o - 36)*(o + 1)/5
Let s = 166360 - 1330877/8. Factor 0 + 0*d - s*d**3 + 51/8*d**2.
-3*d**2*(d - 17)/8
Let j be (-48618)/(-1971) + (-7)/(21/54). Suppose 0 - 20/3*o**2 + j*o - 445/3*o**3 + 75*o**4 = 0. Calculate o.
-2/9, 0, 1/5, 2
Suppose 0 = -0*z - 4*z - 5*i + 17, 0 = 5*i - 5. Factor -80*g + 22*g**2 + 88 - 8*g**z - 10*g**3 - 8*g**2 + 20*g**3.
2*(g - 2)**2*(g + 11)
Let i = -57 + 27. Let g = 32 + i. Factor -16*k**2 - 3 - 2*k**g + 36*k - 21 + 3*k**3.
3*(k - 2)**3
Let r(l) = 3*l**3 - 2. Let g(b) = -17*b**3 + 1824*b**2 - 1822*b + 10. Let x(m) = g(m) + 5*r(m). Factor x(j).
-2*j*(j - 911)*(j - 1)
Let p(o) be the second derivative of 64/7*o**2 + 35*o - 1/70*o**5 - 80/21*o**3 + 17/42*o**4 + 0. Factor p(w).
-2*(w - 8)**2*(w - 1)/7
Let v = 56983 - 398873/7. Let c(a) = a**3 - 3*a + 2. Let w be c(2). Let -4*g**3 - 6/7*g**w - v*g**2 - 18/7 + 60/7*g = 0. Calculate g.
-3, 1/3, 1
Let n = 20841 + -270931/13. Suppose -6/13*l**3 - n*l**4 - 2/13*l - 6/13*l**2 + 0 = 0. Calculate l.
-1, 0
Let k = 231188/3 - 77062. Let z be 10/4 - (-1)/(-2). Suppose k*l + 0 + 1/3*l**z = 0. Calculate l.
-2, 0
Let v(c) = -7*c - 11*c - 1 + 1 + 88 + 4. Let g be v(5). Solve 0*b + 0 - 4/3*b**g - 2/9*b**3 = 0.
-6, 0
Let w be ((-1)/(-44))/(-16*6/(-768)). Let r(c) be the second derivative of 5/33*c**3 + 0 - 1/110*c**5 + 1/165*c**6 - 15*c - 1/22*c**4 - w*c**2. Factor r(x).
2*(x - 1)**3*(x + 2)/11
Let a be -1*0/(12 - 27)*(6 - 5). Factor 84/5*q**2 + 2*q**3 + a + 32/5*q.
2*q*(q + 8)*(5*q + 2)/5
Let q(g) be the first derivative of -g**5/35 - 3*g**4/7 + 4*g**3/7 + 80*g**2/7 + 192*g/7 - 2206. Let q(c) = 0. What is c?
-12, -2, 4
Let m be (-28)/4 + 15170/78. Let g = m - 562/3. Factor -g*w**3 + 10/13*w - 6/13 - 2/13*w**2.
-2*(w - 1)**2*(w + 3)/13
Let y be ((-2418)/2)/(-3)*1/1. Find l such that 15 + 409*l**2 - 2*l - 813*l**2 + y*l**2 = 0.
-5, 3
Let b = -949 - -954. Let y(l) be the third derivative of 5*l**2 + 0*l**3 + 0 - 1/300*l**6 + 0*l - 1/525*l**7 + 0*l**4 + 1/75*l**b. Factor y(v).
-2*v**2*(v - 1)*(v + 2)/5
Let f(t) = -22*t**2 + 744*t - 727. Let a(z) = -27*z**2 + 747*z - 726. Let k(n) = -5*a(n) + 6*f(n). Factor k(h).
3*(h - 1)*(h + 244)
Let b be (-24 - (-1953)/84)/(-21*1/32). Let y = 10 - 8. Factor -2/7 - b*u**3 - 2/7*u**4 - 12/7*u**y - 8/7*u.
-2*(u + 1)**4/7
Let u be ((-15)/(-250))/(((-168)/(-35))/2). Let l(h) be the third derivative of -u*h**6 + 1/9*h**3 + 0 + 0*h + h**2 - 4/45*h**5 - 5/72*h**4. Factor l(m).
-(m + 1)**2*(9*m - 2)/3
Let i(g) be the first derivative of 2*g**5/65 - 9*g**4/26 - 14*g**3/13 - 11*g**2/13 - 8387. Suppose i(o) = 0. Calculate o.
-1, 0, 11
Let g(j) be the first derivative of 2/3*j**4 + 16/3*j**3 - 2/15*j**5 - 36 + 0*j - 1/30*j**6 - 2*j**2. Let x(f) be the second derivative of g(f). Factor x(z).
-4*(z - 2)*(z + 2)**2
Let q(c) be the second derivative of -c**4/16 + 239*c**3/2 - 171363*c**2/2 + 2530*c. Let q(u) = 0. What is u?
478
Let v be (-312)/18 + 4/3. Let r be v/312*3 - 64/(-78). Factor -r*k - 4/9 + 2/9*k**3 + 0*k**2.
2*(k - 2)*(k + 1)**2/9
Let b be ((3 - 11) + 9)*3. Let y(p) be the first derivative of 0*p + 0*p**4 - 8/15*p**5 + 8/9*p**b - 2/