/15, 2/7
Let q = 4 - 11. Let t be 4 + q + 4 - -3. What is v in -t*v**4 - 3*v**4 + 11*v**4 = 0?
0
Let h(b) = 2*b**3 + 48*b**2 - 246*b. Let t(k) = -5*k**3 - 97*k**2 + 493*k. Let p = 945 - 941. Let m(x) = p*t(x) + 9*h(x). What is l in m(l) = 0?
0, 11
Let i(d) = -2*d**2 - 25*d + 276. Let a be i(7). Suppose -h + 2*c = 0, -14 = a*h - 4*h - 5*c. Find y, given that 0*y + 0 + 9/7*y**2 + 3/7*y**h - 12/7*y**3 = 0.
0, 1, 3
Suppose -7 = 3*i - 10. Suppose 3*u - 7 = -d, 4*d = -5*u + 2*u + i. Find l such that -9*l**5 + 30*l**u - 33*l**3 + 3*l**4 - 15*l**4 = 0.
-1, -1/3, 0
Let o(a) = 3*a**4 - 4*a**3 + 5*a**2 + 4*a + 2. Let q(h) = -20*h**4 + 25*h**3 - 31*h**2 - 22*h - 11. Let v(u) = -39*o(u) - 6*q(u). Determine r so that v(r) = 0.
-2, -1, 2
Let z(k) = -k**2 + 17*k + 24. Let s be z(17). Factor 20*d + s*d**2 + 3356 + 3*d**3 + 19*d - 3338.
3*(d + 1)**2*(d + 6)
Suppose -315 + 123/8*m + 3/8*m**2 = 0. What is m?
-56, 15
Let d(u) be the third derivative of 0*u**5 + 1/4*u**4 - 3 + u**2 - 2/3*u**3 - 1/60*u**6 + 0*u. Factor d(c).
-2*(c - 1)**2*(c + 2)
Suppose 0 = -86*w + 98*w - 324. Factor -5*x**2 - 64*x + 0*x**2 - 10 + w*x + 22*x.
-5*(x + 1)*(x + 2)
Suppose 0 = 2*u + 28 - 34. Let x(i) = 11*i**2 + 208*i + 3064. Let o(p) = -4*p**2 - 70*p - 1021. Let r(b) = u*x(b) + 8*o(b). Solve r(d) = 0 for d.
-32
Suppose 5*k + 9 = -l, -22*l + 24*l - 10 = -3*k. Suppose 0 = -4*n - 4, 6*c - l*c - n = -39. Factor -c*p**3 - 49/4*p**5 + 0 + p**2 + 0*p + 77/4*p**4.
-p**2*(p - 1)*(7*p - 2)**2/4
Suppose -517*q + 261*q + 266*q = 0. Let j(s) be the first derivative of 4/21*s**3 + q*s - 3/14*s**2 - 1/28*s**4 + 29. Determine w, given that j(w) = 0.
0, 1, 3
Suppose 19*d - 22*d = -48. Factor -20*b**2 + 6 + 4*b**3 + d + 13 + 1 + 12*b.
4*(b - 3)**2*(b + 1)
Let p(f) be the first derivative of 29*f**6/6 - 1328*f**5/15 - 369*f**4/4 + 1264*f**3/9 + 170*f**2 + 64*f/3 - 1371. Find n, given that p(n) = 0.
-1, -2/3, -2/29, 1, 16
What is k in 63365*k + 10*k**2 - 8*k**4 + 18 + 140*k**2 - 63471*k - 54*k**3 = 0?
-9, 1/4, 1
Let h(q) = 13*q**5 - 329*q**4 + 6427*q**3 + 9*q + 9. Let j(s) = -3*s**5 + 82*s**4 - 1606*s**3 - 2*s - 2. Let d(b) = 8*h(b) + 36*j(b). Factor d(z).
-4*z**3*(z - 40)**2
Let t(d) be the second derivative of 5*d**7/6 - 15*d**6/2 - 19*d**5/2 + 55*d**4/2 + 155*d**3/6 - 105*d**2/2 + 6759*d. Find b such that t(b) = 0.
-1, 3/7, 1, 7
Solve -2*u**3 + 350 + 7500*u**2 + 90*u - 14993*u**2 + 7487*u**2 = 0.
-5, 7
Let m(i) be the second derivative of 1/21*i**7 - 4*i + 0*i**4 + 0*i**6 + 0*i**3 - 1/10*i**5 + 4 + 0*i**2. Factor m(f).
2*f**3*(f - 1)*(f + 1)
Let c(l) = 58*l**3 - 486*l**2 - 454*l. Let z(s) = -64*s**3 + 489*s**2 + 454*s. Let t(x) = -11*c(x) - 10*z(x). Factor t(p).
2*p*(p + 1)*(p + 227)
Let s(f) = -8*f**2 - 8*f - 9. Let x(g) = -9*g + 11*g + 0 + 2 - 5*g**2 + 7*g**2. Let i(k) = 2*s(k) + 9*x(k). Find d such that i(d) = 0.
-1, 0
Let b(m) be the third derivative of 0*m - 9/350*m**7 + 0*m**3 + 0 - 7/100*m**6 + 1/60*m**4 - 13/300*m**5 - 43*m**2. Let b(r) = 0. What is r?
-1, -2/3, 0, 1/9
Let s(g) = -32*g**2 + 3463*g - 752. Let l be s(108). Suppose 2/3*k**4 - l - 10/3*k + 10/3*k**2 + 10/3*k**3 = 0. Calculate k.
-3, -2, -1, 1
Let o = -2550 - -2558. Let k(b) be the first derivative of -4/3*b**3 + 6*b**2 - 23 - o*b. Factor k(v).
-4*(v - 2)*(v - 1)
Suppose 12*h + 190 = 31*h. Let o be 0/h + 7/(84/8). Determine x, given that -1/9*x**2 + o*x - 1 = 0.
3
Let d = 406 - 3641/9. Let c(y) be the first derivative of -40/9*y**3 - 128/45*y**5 + 7 + 56/9*y**4 + d*y**2 - 2/9*y. Find i such that c(i) = 0.
1/4, 1
Let j(k) = 13*k - 89. Let y be j(7). What is m in -124*m**2 - 134*m + 54*m - 68*m**y - 28*m**4 + 300*m**3 = 0?
-2/7, 0, 1, 10
Suppose 2663*p**5 - 2665*p**5 - 28566 + 7*p**4 + 48438*p + 267*p**4 - 9236*p**3 - 10908*p**2 = 0. What is p?
-3, 1, 69
Let w(a) be the second derivative of 4/15*a**4 + 0 - 2/75*a**6 + 0*a**3 + 0*a**2 + 1/25*a**5 + 22*a - 1/210*a**7. Suppose w(z) = 0. Calculate z.
-4, -2, 0, 2
Let k(h) = h**2 + 30*h + 2. Let r be k(-30). Factor 16*v + 12*v**3 - 4*v**4 + 2*v**3 + 4*v**r - 4*v**3 - 26*v**3.
-4*v*(v - 1)*(v + 1)*(v + 4)
Let 189/4*n**3 - 679/4*n**2 + 1/2*n**4 + 171*n - 49 = 0. What is n?
-98, 1/2, 1, 2
Let a(t) = -t**4 + 6*t**3 - 37*t**2 + 28*t + 15. Let y(o) = o**3 + o**2 - 3. Let l(f) = -a(f) - 5*y(f). Factor l(s).
s*(s - 7)*(s - 2)**2
Let d be (5/1)/(-4 + 5). Let h(y) = 2*y + 8. Let l be h(d). Solve -3*m + 3*m**3 - 4*m - 14*m + l = 0 for m.
-3, 1, 2
Let s be 16/24*(207 + 4 + 5). Let r = -6 - -14. Find k, given that 2*k**4 + 126*k**2 - 2*k**3 - 5*k - r - 17*k - s*k**2 = 0.
-1, 4
Let y(f) = -13*f**2 - 9*f - 9. Let x be y(-6). Let m be 11/(-33) - x/54. Suppose m*q - 5 + 5*q**2 = 0. What is q?
-2, 1/2
Suppose 0 = 17*m - 26 - 127. Suppose -6*v**2 - 24*v**2 + 25*v - v**4 + 15*v**2 - m*v**3 = 0. Calculate v.
-5, 0, 1
Let p = 1/1660404 + 18817907/8302020. Find m, given that -2/5*m**4 - p*m**2 - 2*m**3 + 0 + 2/15*m**5 - 4/5*m = 0.
-1, 0, 6
Let s(c) be the third derivative of 0 + 7/3*c**3 + 1/70*c**5 + 0*c + 1/1260*c**6 + 3/28*c**4 - 11*c**2. Let t(z) be the first derivative of s(z). Factor t(l).
2*(l + 3)**2/7
Factor -39600*z**3 - 87120*z**2 - 6750*z**4 - 85184*z - 468512/15.
-2*(15*z + 22)**4/15
Let o(l) be the third derivative of l**7/245 - 3*l**6/14 + 269*l**5/70 - 117*l**4/7 - 324*l**3 + l**2 + 747. Suppose o(x) = 0. Calculate x.
-2, 9, 14
Suppose 2/7*l**2 - 216/7*l + 214/7 = 0. Calculate l.
1, 107
Factor -163*q**2 + 139876*q + 1810*q**2 - 262*q**2 - 428*q**2 - 209*q**2 + q**3.
q*(q + 374)**2
Let r(q) = q**3 + 5*q**2. Let l(w) = -428*w**2 - 870*w - 434. Let v(g) = -2*l(g) + 4*r(g). Suppose v(j) = 0. Calculate j.
-217, -1
Factor 0 + 90*r - 9*r**3 - 3/2*r**4 + 21/2*r**2.
-3*r*(r - 3)*(r + 4)*(r + 5)/2
Factor 0 - 1/4*a**3 - 81/2*a**2 - 161/4*a.
-a*(a + 1)*(a + 161)/4
Let j be ((1 - 0)*16/(-384))/(55/(-99)). Let g(h) be the first derivative of 0*h + 0*h**2 - 1/15*h**3 - 26 - 1/50*h**5 - j*h**4. Factor g(w).
-w**2*(w + 1)*(w + 2)/10
Suppose 440 = 551*r - 662. Solve -7/5*q - 1/5*q**r + 8/5 = 0.
-8, 1
What is n in -16*n**4 + 4*n**4 + 9 + 13 - 57*n + 1737*n**2 + n**5 + 8*n**3 - 1699*n**2 + 0*n**5 = 0?
-2, 1, 11
Let l(g) be the second derivative of -5*g**9/18144 - g**8/1440 - g**7/2520 + 26*g**3/3 + 30*g - 1. Let y(b) be the second derivative of l(b). Factor y(h).
-h**3*(h + 1)*(5*h + 2)/6
Find r, given that -766914*r**3 + 21994*r**3 - 121680*r + 19400*r**4 - 367898*r**2 - 125*r**5 - 237382*r**2 = 0.
-2/5, 0, 78
Let o(i) = 7*i**3 - 10*i**2 + 16*i - 144. Let s(w) = w**3 - 5*w**2 - 2*w. Let k(b) = o(b) - 6*s(b). Solve k(d) = 0.
-18, -4, 2
Let g(a) be the second derivative of -16*a + 2*a**3 - 3/2*a**2 + 0 - 3/4*a**4. Suppose g(b) = 0. Calculate b.
1/3, 1
Let n(z) be the third derivative of -11/48*z**4 + 0 - 2*z**2 + z**3 - 1/60*z**5 - 99*z + 1/240*z**6. Factor n(v).
(v - 4)*(v - 1)*(v + 3)/2
Let o be (-2)/20 + 17744/(-1080)*(-60)/80. Determine f so that -168*f**3 + 2/3 + 48*f**4 - o*f + 76*f**2 = 0.
1/6, 3
Let n(s) = 107*s + 943. Let q be n(-9). Let x be (13 + q)*(-16)/140. Suppose -4*m + x + 9/5*m**2 = 0. What is m?
2/9, 2
Suppose 5*m + 5*n = 20, -2*m - 5*n + 5 = -3. Suppose -5*f + 16 = m*z - 2*f, -3*z + 12 = -2*f. Solve -c**4 - z*c**3 + 94*c**2 - 53*c**2 - 44*c**2 = 0 for c.
-3, -1, 0
Let y = 4955402/3 - 1651796. Factor -19/3*n**3 + 0 + 1/3*n**5 - 4/3*n**4 + 0*n - y*n**2.
n**2*(n - 7)*(n + 1)*(n + 2)/3
Suppose -11*l + 21*l - 110 = 0. Determine n so that -330*n**3 + 16*n**4 - 115*n + 45*n**4 + 39*n**4 + 340*n**2 + 11*n**4 - l*n**4 + 5*n**5 = 0.
-23, 0, 1
Let 32/11*z**3 - 6/11*z**4 - 2/11*z**5 + 16*z**2 + 160/11 + 288/11*z = 0. What is z?
-2, 5
Let v be ((-78)/15 + 2)/((-12)/210). Solve -8 - 3*w**2 + 176*w - 47*w - 59*w - v*w = 0 for w.
2/3, 4
Let d(w) be the third derivative of w**7/105 + w**6/6 + 23*w**5/30 + 7*w**4/6 + 2312*w**2. Suppose d(t) = 0. What is t?
-7, -2, -1, 0
Find d, given that 2*d**4 + 32*d + 34*d - 14*d**2 + 26*d + 36 - 6*d**3 + 48*d - 110*d = 0.
-2, -1, 3
Let j(z) be the third derivative of -32*z**6/15 - 1392*z**5/5 - 15138*z**4 - 439002*z**3 - 211*z**2. Let j(o) = 0. Calculate o.
-87/4
Let b = 587 + -502. Let t(f) = 70*f**3 - 95*f**2 - 70*f + 265. Let h(q) = 5*q**3 - 7*q**2 - 5*q + 19. Let i(m) = b*h(m) - 6*t(m). Let i(z) = 0. Calculate z.
-1, 1, 5
Let c(i) be the third derivative of -i**8/672 