8/7*y + 26/7*y**2 + 116/7 = 0?
-29, -2/13
Let j(m) = 3*m**4 - 64*m**3 - 229*m**2 + 287*m - 1. Let q(w) = w**5 + w**2 + w + 1. Let o(r) = j(r) + q(r). Suppose o(i) = 0. What is i?
-6, 0, 1, 8
Let q(c) be the third derivative of c**6/200 - 13*c**4/10 + 48*c**3/5 - 90*c**2. Solve q(k) = 0.
-8, 2, 6
Let i(k) be the third derivative of k**7/210 - k**6/24 - 19*k**5/15 - 14*k**4/3 + 32*k**3 + 2*k**2 + 2*k + 1137. Find w such that i(w) = 0.
-4, 1, 12
Solve -80*p**3 - 39*p**2 - 9/2*p**5 + 0 + 39*p**4 + 169/2*p = 0 for p.
-1, 0, 1, 13/3
Let k(x) = 3*x**2 + 9*x + 1. Let t(a) = -8*a**2 - 312*a - 4. Let d(y) = 4*k(y) + t(y). Suppose d(c) = 0. What is c?
0, 69
Let f(x) be the third derivative of -x**8/168 + 2*x**7/7 - 16*x**6/5 - 256*x**5/15 + 2984*x**2. Factor f(r).
-2*r**2*(r - 16)**2*(r + 2)
Factor 2274*a - 2/3*a**3 + 3420 + 376*a**2.
-2*(a - 570)*(a + 3)**2/3
Determine t so that 10/7*t**3 - 18/7*t**2 + 0 - 4*t = 0.
-1, 0, 14/5
Let m be (-6)/5*(-30)/9. Factor 94*l**3 + 95*l**3 + 4*l**5 - 4*l**4 - 201*l**3 + 8*l + m*l**2.
4*l*(l - 2)*(l - 1)*(l + 1)**2
Suppose 0 = 5*n + 4*o - 310, -248 = -4*n - 4*o + 3*o. Let t be (-1)/36 + n/248. Solve t*u - 2/9*u**3 + 0*u**2 + 0 = 0.
-1, 0, 1
Suppose -2*g - 12 = -y, -9*g + 18 = -y - 13*g. What is f in 64*f**3 - 4*f**4 + 1024*f - 174*f**y - 225 - 799 - 210*f**2 = 0?
4
Let o = 510 - 750. Let n be 8 - (-13)/(455/o). Factor 1/7*c**2 + 16/7 - n*c.
(c - 4)**2/7
Let p = 806 + -725. Suppose 44*w - 51 = p. Factor -4/7*a**5 + 0 - 36/7*a**w - 8/7*a + 4*a**2 + 20/7*a**4.
-4*a*(a - 2)*(a - 1)**3/7
Let p(i) be the second derivative of -i**5/250 + 16*i**4/75 - 43*i**3/15 + 184*i**2/25 - i - 938. Factor p(r).
-2*(r - 23)*(r - 8)*(r - 1)/25
Factor 170*y**4 + 820*y**2 - 127*y - 295*y**3 + 240 - 135*y**4 - 733*y.
5*(y - 4)*(y - 2)**2*(7*y - 3)
Let p(g) be the first derivative of 2*g**6/3 - 15*g**4 - 40*g**3/3 + 120*g**2 + 288*g + 252. Let p(t) = 0. What is t?
-2, 3
Let w(o) be the third derivative of o**5/30 - o**4/2 - 91*o**3/3 + 628*o**2. Determine z, given that w(z) = 0.
-7, 13
Let l be 3/(-18) - (-7)/(-42)*(21 + -23). Factor -4 + l*j**2 + 5/6*j.
(j - 3)*(j + 8)/6
Let -439*f**3 - 264*f**3 - 95220 + 26937*f - 46317*f - 102405*f - 5*f**4 - 12*f**3 - 27275*f**2 = 0. What is f?
-69, -4, -1
Let k = -5/10106 + 20227/30318. Let -2 + 10*z**2 - 14*z**3 + k*z + 16/3*z**4 = 0. What is z?
-3/8, 1
Let y be (-6 + 2)*(172/(-16) - -7). Let 13*r**2 + 0*r**2 + 12*r - y*r**3 - 22*r**2 + 12 + 3*r - 3*r**4 = 0. Calculate r.
-4, -1, 1
Let m(v) be the third derivative of v**7/315 + v**6/60 - v**5/30 - 7*v**4/36 + 2*v**3/3 - v**2 - v - 1407. Find g, given that m(g) = 0.
-3, -2, 1
Let n = 38 + -14. Suppose a + n = 4*a. Find t, given that -12*t**3 + 5*t**3 + a*t**3 - t**4 = 0.
0, 1
Let q be (-512)/50*(-7635)/6108. Suppose 2*u + 0*u - 2 = -3*i, -i - 16 = 4*u. What is n in -32/5*n**3 + 0*n**i + q*n + 4/5*n**5 + 0*n**2 + 0 = 0?
-2, 0, 2
Let y(n) be the third derivative of -n**6/24 + 125*n**5/12 - 205*n**4/4 + 82*n**2 - 4*n - 5. Factor y(v).
-5*v*(v - 123)*(v - 2)
Let a(h) = h**2 + 384*h + 6241. Let m be a(-17). Factor -16/3 + 8*b - 4*b**m + 2/3*b**3.
2*(b - 2)**3/3
Factor -65/6 - 5*l**2 + 56/3*l - 8/3*l**3 - 1/6*l**4.
-(l - 1)**2*(l + 5)*(l + 13)/6
Suppose 7*v - 5 - 72 = 0. Let h(g) = -6*g**2 - v*g + 7*g + 11*g. Let t(z) = -6*z**2 + 8*z. Let k(b) = 5*h(b) - 4*t(b). Factor k(c).
-3*c*(2*c - 1)
Let k(f) = -2*f - 36. Let q be k(-18). Let w be (3 - 4) + 0 + q. Let h(n) = 5*n**2 - 5*n + 15. Let u(v) = -1. Let g(r) = w*h(r) - 15*u(r). Factor g(d).
-5*d*(d - 1)
Let a(d) be the first derivative of -6*d**5/35 - 48*d**4/7 - 180*d**3/7 - 264*d**2/7 - 174*d/7 - 3353. Determine w so that a(w) = 0.
-29, -1
Let b = -555523/7 + 79361. Suppose 1/7*q**3 - 2/7 - b*q**2 + 5/7*q = 0. What is q?
1, 2
Let j(a) be the third derivative of -a**6/135 - a**5/18 + 11*a**4/9 - 32*a**3/27 + 55*a**2 - 6*a. Solve j(b) = 0.
-8, 1/4, 4
Let w(f) be the third derivative of -f**2 + 11/108*f**4 - 1/45*f**5 - 3 + 0*f - 5/27*f**3. Suppose w(o) = 0. What is o?
5/6, 1
Let v = -685 - -689. Suppose 0 = 27*x - 12*x - 16*x. What is z in 0 + x*z + 0*z**2 - 4/7*z**v + 2/7*z**3 + 2/7*z**5 = 0?
0, 1
Suppose 14*l = 363 - 559. Let b be (-2)/l + -8 + 8667/1071. Factor -2/17*m - b + 2/17*m**2.
2*(m - 2)*(m + 1)/17
Let n(g) = g**2 + 705*g + 129590. Let s(q) = -q**2 - 702*q - 129588. Let k(z) = -6*n(z) - 5*s(z). Let k(r) = 0. Calculate r.
-360
Let z(i) = 2*i**3 + 4*i**2 + 2*i + 5. Let r(x) = x**3 + 2*x**2 + x + 3. Let w = -171 + 166. Let y(s) = w*r(s) + 3*z(s). Find n, given that y(n) = 0.
-1, 0
Let g be -7*68/(-238)*2. Solve 28/5*p - 7/5*p**2 - g - 1/5*p**3 = 0.
-10, 1, 2
Factor 873/4*i**2 - 1/4*i**3 - 47742*i + 47524.
-(i - 436)**2*(i - 1)/4
Determine q, given that 213/4*q + 54 - 3/4*q**2 = 0.
-1, 72
Let t = 2743 - 2735. Let -t + 76/9*a - 4/9*a**2 = 0. What is a?
1, 18
Let u be 3/(-36) + 490/120. Suppose 9 - 18*t**2 + 6*t**3 - 3*t**5 - 8*t + 5*t + 18*t**4 - 9*t**u = 0. Calculate t.
-1, 1, 3
Let g be -6 - ((-23512)/(-5872) - 10). Let r = g - -5881/2202. Suppose -r*p + 4/9*p**2 - 16/9 + 2/3*p**3 = 0. Calculate p.
-2, -2/3, 2
Let v = -886 - -889. Suppose -v*j = -q - 10, -3*q - 39*j = -34*j - 26. What is g in 2/11*g**q - 16/11*g + 32/11 = 0?
4
Suppose -95 = -5*w - 5*s, 16*w - s = -423 + 455. Factor 1/10*j**4 - 7/10*j**w - 6/5*j + 8/5*j**2 + 0.
j*(j - 3)*(j - 2)**2/10
Let o be (55/150*12)/((-6)/(-15) - -2). Let a(j) be the first derivative of -33 - 1/8*j**4 - 18*j + o*j**3 - 6*j**2. Solve a(m) = 0.
-1, 6
Let u be 4/((6/(-72))/(2/4)). Let a be 7/(21/(-27))*2/u. Solve 0 + 0*j - a*j**4 - 1/4*j**2 - j**3 = 0.
-1, -1/3, 0
Suppose 0 = 8*x - 0*x + 112. Let m be x*(5 + (-214)/42). Factor 0 + 32/3*v + m*v**2.
4*v*(v + 8)/3
Let m = -7577/139920 - -34/583. Let p(b) be the second derivative of 1/96*b**4 + 1/48*b**3 + 28*b - m*b**6 + 0 + 0*b**2 - 1/160*b**5. Factor p(k).
-k*(k - 1)*(k + 1)**2/8
Let p(a) be the first derivative of 1/25*a**5 - 23/10*a**2 - 7/5*a**3 - 60 - 1/4*a**4 - 8/5*a. Factor p(c).
(c - 8)*(c + 1)**3/5
Suppose 12 = 78*p - 80*p - 2*u, -2*p - u = 10. Let m be (-6)/7*(18/p - -1). Determine s, given that 0*s - 1/3*s**m + 2/3*s**2 + 0 - 1/3*s**4 = 0.
-2, 0, 1
Let n = 1657 - 16569/10. Let q(f) be the second derivative of -1/25*f**6 + 0*f**2 + f + 0 + n*f**4 + 0*f**3 + 1/10*f**7 - 21/100*f**5. What is u in q(u) = 0?
-1, 0, 2/7, 1
Suppose 2*w + 4*h - 14 = 0, -17*w - 22 = -21*w - 5*h. Factor 4*v**2 - 42 - 4*v**2 - 32*v - 25 + w - 4*v**2.
-4*(v + 4)**2
Let o(m) be the third derivative of -21*m**6/100 + 347*m**5/150 - 41*m**4/15 + 4*m**3/3 + 410*m**2 - 1. Let o(f) = 0. What is f?
2/9, 2/7, 5
Factor -18*c**2 - 26*c**3 - 11*c**4 - 3*c**5 - 28*c**3 - 48*c**2 - 39*c - 9 - 10*c**4.
-3*(c + 1)**4*(c + 3)
Let h = -78 + 78. Suppose h*x = -4*x + 12. Find s such that -6 + x*s**2 - s**2 + s**2 - 6 + 3*s**3 - 12*s = 0.
-2, -1, 2
Solve -36*s**2 - 131349 + 2004*s - 37*s**2 + 466017 - 44*s**2 + 120*s**2 = 0 for s.
-334
Let j(r) be the second derivative of -r**7/147 + r**6/15 - 11*r**5/70 - r**4/6 + 4*r**3/7 - r + 727. Determine l, given that j(l) = 0.
-1, 0, 1, 3, 4
Let q(u) be the second derivative of -17/70*u**6 + 13/20*u**5 - 30 + 1/42*u**7 - 3*u + 0*u**2 - 19/28*u**4 + 5/21*u**3. Find d such that q(d) = 0.
0, 2/7, 1, 5
Let i = -198 - -204. Let x be (-260)/(-208) + i/8. Find t, given that 2/3*t**3 - 2/3*t + 1/3*t**x + 0 - 1/3*t**4 = 0.
-1, 0, 1, 2
Suppose 5*n = 6*n - 4*m, m = 4*n - 15. Solve -4*f + 4 + 625*f**4 - 208*f**4 + 4*f**3 - 209*f**n - 209*f**4 - 3*f**2 = 0 for f.
-1, 1, 2
Let m(r) be the first derivative of -1/6*r**6 + 3/4*r**5 + 35/12*r**4 - 45*r**2 - 25/2*r**3 + 29*r + 30. Let y(g) be the first derivative of m(g). Factor y(i).
-5*(i - 3)**2*(i + 1)*(i + 2)
Find j such that -710*j + 1/2*j**2 + 252050 = 0.
710
Suppose -3*t + 8*t + 5*g + 220 = 0, -5*t - 2*g = 217. Let f = -41 - t. Let -62*c**f + 61*c**2 + 2*c**4 - c**4 = 0. Calculate c.
-1, 0, 1
Let w(z) = 3*z**3 + 632*z**2 - 1253*z + 628. Let q(n) = -n**3 - 317*n**2 + 629*n - 315. Let l(y) = -15*q(y) - 6*w(y). Factor l(x).
-3*(x - 319)*(x - 1)**2
Let n(h) be the second derivative of 1/3*h**3 + 1/84*h**4 + 5 + 10*h + 13/14*h**2. Factor n(y).
(y + 1)*(y + 13)/7
Let p(k) be the first derivative of -10/3*k**3 + 45/2*k**2 - 7 - 20*k. Find s such that p(s) = 0.
1/2, 4
Let v(n) be t