tor -18*i + 694 + 3*i**m - 694.
3*i*(i - 6)
Let l be (-13080)/96 - (0 + (-5)/(-1)). Let g = 142 + l. Suppose -g*f + 0*f**3 + 9/8*f**2 - 3/8*f**4 + 0 = 0. Calculate f.
-2, 0, 1
Let q(r) be the first derivative of 2*r**5/15 - 7565*r**4/18 + 9550796*r**3/27 - 881440*r**2 - 705600*r + 3515. Solve q(w) = 0.
-1/3, 2, 1260
Let c(f) = -35*f**2 - 27100*f + 49375. Let v(q) = -9*q**2 - 6816*q + 12344. Let j(y) = 4*c(y) - 15*v(y). Factor j(n).
-5*(n - 2)*(n + 1234)
Suppose 1534752/7 + 3504/7*f + 2/7*f**2 = 0. What is f?
-876
Suppose -285 + 226*t**2 - 2*t**3 - 16 + 2350*t + 75 - 2348*t = 0. What is t?
-1, 1, 113
Let t be (3 - 3) + 192/48. Let h(w) be the third derivative of 0*w**t + 0 + 1/54*w**5 - 5*w**2 + 0*w + 0*w**3 - 1/540*w**6. Determine n, given that h(n) = 0.
0, 5
Let f = -95/369 - -1297/738. Solve -f*w**3 + 0 - 3*w**2 + 9/2*w = 0.
-3, 0, 1
Suppose -2*z - 20 = -5*j, -6*j = -j - 10. Let h be 85/357*(-18)/z. Suppose -6/7*b**3 - 2/7*b**4 - 2/7*b + 0 - h*b**2 = 0. What is b?
-1, 0
Let p = -23894 + 71698/3. Let h(s) be the first derivative of -p*s**3 + 29 - s**4 + 24*s - 2*s**2. Suppose h(q) = 0. Calculate q.
-3, -2, 1
Let w(n) be the first derivative of n**5 - 5*n**4 - 10*n**3/3 + 30*n**2 + 45*n - 6035. Factor w(b).
5*(b - 3)**2*(b + 1)**2
Factor 306*m + 30*m**3 - 26*m**3 + 16*m**3 - 23*m**3 + 93*m**2.
-3*m*(m - 34)*(m + 3)
Let w(n) = -5*n**2 - 142*n + 2. Let h(t) = 2*t**2 - 23*t - 1. Let v(j) = 2*h(j) + w(j). Factor v(c).
-c*(c + 188)
Let s(t) be the third derivative of 60*t**2 - 16/21*t**8 - 5/3*t**4 + 32/21*t**7 - 2/3*t**3 - 5/3*t**5 + 0*t + 0 + 2/3*t**6. Solve s(h) = 0.
-1/4, 1
Let d(j) be the first derivative of j**6/18 - j**5/15 - 19*j**4/4 - 143*j**3/9 + 28*j**2/3 + 48*j - 346. Suppose d(a) = 0. Calculate a.
-4, -1, 1, 9
Suppose -l = -32 + 97. Let z = l + 69. Factor 2*f**2 + 6*f**2 - 5*f**2 - z*f + 7*f.
3*f*(f + 1)
Let u(y) be the third derivative of 0*y**5 - 5/42*y**7 + 0*y**4 + 0 - 1/6*y**6 + 97*y**2 + 0*y**3 + 0*y - 5/336*y**8. Let u(v) = 0. What is v?
-4, -1, 0
Let n(w) be the first derivative of w**6/9 + 190*w**5/3 - 477*w**4/2 + 2866*w**3/9 - 478*w**2/3 + 216. Determine a, given that n(a) = 0.
-478, 0, 1
Let n(a) = -8*a**3 - 80*a**2 - 376*a - 284. Let l(o) = 7*o**3 + 79*o**2 + 372*o + 285. Let u(k) = -4*l(k) - 3*n(k). Solve u(q) = 0 for q.
-12, -6, -1
Let n(h) be the third derivative of 3*h**5/20 - 11*h**4/3 - 10*h**3/3 - 1795*h**2. Let n(q) = 0. What is q?
-2/9, 10
Let r = -11/24 + 119/888. Let n = r - -121/259. Solve -3/7*h - n*h**3 - 3/7*h**2 - 1/7 = 0 for h.
-1
Let m(w) be the first derivative of -w**3/3 + 6*w**2 - 20*w + 664. Factor m(y).
-(y - 10)*(y - 2)
Suppose 2*k + 2*w = 32, 2*k - 3*k + 14 = -w. Suppose k*i - 24 = 9*i. Factor -2*p**3 + p**i - 2294*p**2 - 1 + 2*p + 2294*p**2.
(p - 1)**3*(p + 1)
Factor -4*r**4 + 3*r**3 - 286*r**2 + 346*r**2 - 67*r**3 + 72*r + 16*r**4.
4*r*(r - 3)**2*(3*r + 2)
Suppose 0 = 8*h + 5*h - 468. Find l, given that -17*l**2 + 180 - 204*l - 14*l**2 + 72*l**3 + 4*l**5 - 57*l**2 + h*l**4 = 0.
-5, -3, 1
Factor 1952 - 1110 - 102*j**3 + 872 + 3*j**4 + 2279 - 367*j**2 + 1555*j**2 - 5082*j.
3*(j - 11)**3*(j - 1)
What is t in -6*t + 37 - 34*t - 1127*t**4 + 1130*t**4 + 53 + t + 39*t**3 - 93*t**2 = 0?
-15, -1, 1, 2
Suppose 1430*k - 1404*k - 16*k**4 + 4*k**2 + 10 + 1 - 2*k**5 - 24*k**3 + 1 = 0. Calculate k.
-6, -1, 1
Let g be -9*(-23 - (-1190)/50)*5/(-18). Let l(t) be the second derivative of 0 + 5/12*t**4 - 5/3*t**3 - 6*t + 0*t**g. Suppose l(a) = 0. Calculate a.
0, 2
Let d(b) be the second derivative of b**5/10 - b**4/8 - 3*b**3/4 - b**2/2 + b + 28. Solve d(y) = 0.
-1, -1/4, 2
Let x(v) = -v**5 + v**4 - 2*v**3 + v**2 - 4*v + 1. Let y(z) = 65*z**5 + 4*z**3 - 2*z**2 + 8*z - 2. Let a(j) = -6*x(j) - 3*y(j). Find s, given that a(s) = 0.
-2/63, 0
Find i, given that -25*i**3 - 61670*i**2 - 1088 - 11*i**3 - 35228*i - 3561 - 13*i**3 - 383 = 0.
-1258, -2/7
Let p(m) = -231*m + 1620. Let a be p(7). Let f(n) be the first derivative of -a - 1/19*n**2 + 2/57*n**3 + 0*n. Suppose f(s) = 0. What is s?
0, 1
Suppose -16 - 2 = -6*o. Let c**2 + 11*c**2 - 1756*c**o + 4 - 12*c + 1752*c**3 = 0. Calculate c.
1
Find z, given that 2*z**3 + 4084 + 2577*z + 6399*z + 202*z**2 + 4628 + 64*z**2 = 0.
-66, -1
Suppose 26*i - 24*i = -5*x + 65, -4*i + 5*x + 205 = 0. Suppose 0 = -16*n + 93 - i. Find b, given that -1/2*b**4 + b - 5/2*b**2 + 2*b**n + 0 = 0.
0, 1, 2
What is p in -49/3*p - 148 - 1/3*p**2 = 0?
-37, -12
Let j(d) be the second derivative of -2*d**7/63 - 68*d**6/45 + 36*d**5/5 - 110*d**4/9 + 74*d**3/9 - 776*d. Factor j(w).
-4*w*(w - 1)**3*(w + 37)/3
Let w be ((-27)/45 + 3/(-20))/((-24)/64). Let g(r) be the first derivative of 4/25*r**5 + 0*r - 3/10*r**4 - 8 - 1/10*r**w - 1/30*r**6 + 4/15*r**3. Factor g(j).
-j*(j - 1)**4/5
Solve -24/5 + 4/5*l + 18/5*l**2 + 3/5*l**3 - 1/5*l**4 = 0.
-2, 1, 6
Factor 1/5*n**3 - 9/5*n**2 + 3*n + 5.
(n - 5)**2*(n + 1)/5
What is y in 695*y**4 + 1682*y**3 - 1187*y**2 + 5*y**5 + 270*y**4 + 213*y**3 - 3800*y - 1698*y**2 + 3820 = 0?
-191, -2, 1
Let j(l) be the third derivative of 0*l**3 + 1/390*l**5 - 1/39*l**4 + 0*l + 0 + 106*l**2. Factor j(x).
2*x*(x - 4)/13
Let l(m) be the third derivative of -4*m**2 + 9*m - 9/44*m**4 + 0*m**3 + 0 + 1/330*m**5. Suppose l(c) = 0. Calculate c.
0, 27
Let g(o) be the third derivative of 0*o - 5/336*o**8 + 0 + 250*o**3 + 25/42*o**7 - 475/3*o**4 - 69/8*o**6 + 643/12*o**5 - 5*o**2. Find q such that g(q) = 0.
1, 3, 10
Let z = 9 - 25. Let s be -3 + 20/z*-4. Factor -s*t - 3*t**4 - 5 + 148*t**3 - 146*t**3 + 4 + 4*t**2.
-(t - 1)**2*(t + 1)*(3*t + 1)
Find m, given that 0 - 2/7*m**3 + 1144/7*m - 568/7*m**2 = 0.
-286, 0, 2
Let s(u) be the second derivative of 17/6*u**2 - 6*u - 1 - u**3 + 1/36*u**4. Factor s(l).
(l - 17)*(l - 1)/3
Let z(y) be the third derivative of y**6/360 + 32*y**5/45 + 557*y**2. Factor z(l).
l**2*(l + 128)/3
Let b be 172/(-2365)*-671 + -38. Factor 2/5*s**3 - 108/5 + 0*s**2 - b*s.
2*(s - 6)*(s + 3)**2/5
Suppose -18*x = -12*x - 50808. Solve x - 7*j**3 - 8498 - 33*j**2 + j**3 - 57*j = 0.
-5/2, -2, -1
Let i = 4817/7359 - 73/669. Factor -2/11*z**4 + i + 4/11*z**2 + 13/11*z - 6/11*z**3 + 1/11*z**5.
(z - 3)*(z - 2)*(z + 1)**3/11
Let c(h) be the first derivative of 268 - 4*h**2 + 6*h - 1/6*h**3 + 5/8*h**4. Determine n, given that c(n) = 0.
-2, 1, 6/5
Suppose -24*h - 4627 + 4675 = 0. Let l(c) be the first derivative of -8*c**h + 4/3*c**3 + 1 + 0*c. Solve l(x) = 0.
0, 4
Factor -211250 - 1/2*j**2 + 650*j.
-(j - 650)**2/2
Let o(h) be the first derivative of -h**6/6 + 4*h**5/5 + 20*h**4 + 64*h**3 + 665. Factor o(x).
-x**2*(x - 12)*(x + 4)**2
Let w(n) be the second derivative of -n**6/255 - 139*n**5/170 - 1081*n**4/17 - 103684*n**3/51 - 97336*n**2/17 + 4738*n. Factor w(m).
-2*(m + 1)*(m + 46)**3/17
Let g(a) = 95 + 9 - 20*a + 75 + 248 + 175. Let s be g(30). Suppose -2/5*q**s + 4/5*q - 2/5 = 0. What is q?
1
Let b(r) be the third derivative of r**8/168 - 19*r**7/105 + 49*r**6/60 - 13*r**5/30 - 25*r**4/6 + 32*r**3/3 + 2063*r**2. Find x such that b(x) = 0.
-1, 1, 2, 16
Suppose -658*u + 1339*u + 764 = 1063*u. Factor 1/3*y**u + 10/3 + 11/3*y.
(y + 1)*(y + 10)/3
Factor 3353*y**2 - 40*y**3 - 15*y - 3503*y**2 + 119 + 16 - 30*y.
-5*(y + 3)*(2*y + 3)*(4*y - 3)
Let q(k) be the second derivative of -k**5/5 - 22*k**4/3 + 8*k**3/3 + 176*k**2 - 38*k + 12. Factor q(w).
-4*(w - 2)*(w + 2)*(w + 22)
Factor -5*f**2 - 2*f**2 + 4*f + 6*f + 3*f**2 - 4*f**2 - 2*f**3.
-2*f*(f - 1)*(f + 5)
Factor 55156383 + 549*f**2 - 1/3*f**3 - 301401*f.
-(f - 549)**3/3
Let i(c) be the first derivative of -c**6/9 + 133*c**5/15 - 197*c**4 + 4861*c**3/9 + 2144*c**2/3 - 1024*c - 2845. Let i(o) = 0. What is o?
-1, 1/2, 3, 32
Let t(q) be the first derivative of -4*q**5/35 + 37*q**4/7 + 156*q**3/7 + 34*q**2 + 160*q/7 + 1846. Factor t(m).
-4*(m - 40)*(m + 1)**3/7
Suppose -92*c - 44 = -44. Let y(d) be the first derivative of 3/5*d**6 + 23/5*d**4 - 96/25*d**5 + 9/5*d**2 + 32/5*d**3 + 5 + c*d. Factor y(o).
2*o*(o - 3)**2*(3*o + 1)**2/5
Let r be 9 - (124/(-35))/(86/215)*-1. Factor -10/7*b + r*b**2 - 11/7.
(b - 11)*(b + 1)/7
Let i(d) = -2*d**2 + 8*d - 154. Let y(b) = 2*b**2. Let c(s) = -i(s) - 2*y(s). Find v, given that c(v) = 0.
-11, 7
Let l be 32/(-14) - (-15 - 1339/(-91)). Let q(d) = -76*d - 152. Let b be q(l). What is y in -2/11*y**2 + b - 4/11*