t d(i) = 0.
-18, -4, 0
Suppose 0 = 7*c + 4*c - 33. Suppose -5*z = -9*z - 5*y - c, -24 = -3*z + 5*y. Determine x so that 15/7*x**2 - 24/7*x + 12/7 - 3/7*x**z = 0.
1, 2
Let a(m) = 2*m**4 - 26*m**3 - 878*m**2 - 4706*m + 4. Let n(t) = -8*t**4 + 103*t**3 + 3513*t**2 + 18822*t - 15. Let b(p) = -30*a(p) - 8*n(p). Solve b(w) = 0.
-9, 0, 29
Let n(o) be the second derivative of -o**6/15 - 31*o**5/10 + 68*o**4/3 - 140*o**3/3 - 14*o - 8. Factor n(t).
-2*t*(t - 2)**2*(t + 35)
Let n be (-39)/((-9828)/1548) + -6. Suppose n*w**4 + 6/7*w**3 + 0 - 4/7*w**2 - 1/7*w**5 - 8/7*w = 0. What is w?
-2, -1, 0, 2
Find h such that -1/4*h**4 - 3/2*h**3 + 0 - h - 9/4*h**2 = 0.
-4, -1, 0
Let b(g) be the third derivative of 0*g + 18 + 0*g**3 + 1/30*g**5 + 2*g**2 - 37/12*g**4. Factor b(d).
2*d*(d - 37)
Let p(n) be the second derivative of 1/30*n**6 - 38 - 2/3*n**3 + 1/2*n**4 + 1/2*n**2 - 1/5*n**5 - 2*n. Factor p(f).
(f - 1)**4
Factor 78/19*p - 2 - 4/19*p**2.
-2*(p - 19)*(2*p - 1)/19
Suppose 19876*c - 19813*c - 189 = 0. Let 11/2 + 1/2*p - 1/2*p**c - 11/2*p**2 = 0. What is p?
-11, -1, 1
Let i = 979790/3 - 326586. What is z in i*z**2 - 1/3*z**5 + 0*z**3 + 0*z - 2*z**4 + 0 = 0?
-4, 0, 2
Solve 1/3*t**3 - 107 + 431/3*t - 37*t**2 = 0 for t.
1, 3, 107
Let n(u) = -17*u**2 - 20*u + 6. Let q(y) = -3*y**2 - y + 14. Let v(w) = w**2 - 4. Let d(k) = 2*q(k) + 7*v(k). Let h(x) = -6*d(x) + 2*n(x). Solve h(g) = 0.
-1, 3/10
Let k(w) be the second derivative of w**4/90 + 44*w**3 + w + 3712. Factor k(l).
2*l*(l + 1980)/15
Let z be (-19)/(-1) + (59 - (-8073)/(-104)). Determine q, given that -3/2 - 33/8*q - 27/8*q**2 + z*q**4 - 3/8*q**3 = 0.
-1, 4
Let x = 379 - 302. Factor 9 - 24*q**2 + 31 - x*q**3 - 12*q + 73*q**3.
-4*(q - 1)*(q + 2)*(q + 5)
Suppose 112*j + 102 = 253*j - 107*j. Let c(o) be the second derivative of 0 + 1/80*o**5 - 1/16*o**4 + 1/8*o**j - 1/8*o**2 + 28*o. Find t such that c(t) = 0.
1
What is i in 408/13 + 398/13*i**2 + 10/13*i**4 - 8*i**3 - 664/13*i = 0?
2, 3, 17/5
Let u(r) = -r**4 - 3*r**3 + r**2 + 1. Let j(v) = -246*v**3 - 7536*v**2 - 85293*v - 236199. Let p(l) = -j(l) - 3*u(l). Factor p(w).
3*(w + 4)*(w + 27)**3
Let a(s) be the second derivative of s**5/10 + 181*s**4/6 - 122*s**3 + 2974*s. Factor a(b).
2*b*(b - 2)*(b + 183)
Let m(d) = 19*d**2 - 148*d + 5470. Let x(i) = -35*i**2 + 296*i - 10941. Let y(o) = -11*m(o) - 6*x(o). Let y(b) = 0. What is b?
74
Let i be -5*(2/(-5) - (-1)/(-5)). Suppose -9 = -o + p - i, 4*p = 5*o - 30. Determine j, given that 48*j + 8 + o + 11 + 21*j**2 - 13 = 0.
-2, -2/7
Let f(l) be the second derivative of 0 - 25/18*l**3 - 12*l - 1/4*l**4 + 11/2*l**2 + 1/60*l**5. What is x in f(x) = 0?
-3, 1, 11
Let l(s) be the first derivative of -s**3/18 - 5*s**2/3 - 25*s/2 + 1186. Solve l(i) = 0 for i.
-15, -5
Let o = 598/3 - 2590/13. Let p(l) be the third derivative of 1/39*l**4 + 26*l**2 + o*l**3 + 0*l + 1/390*l**5 + 0. Solve p(b) = 0 for b.
-2
Let h(z) be the first derivative of -2/3*z**2 - 10/27*z**3 + 2/45*z**5 + 1 + 0*z + 1/9*z**4. Determine a, given that h(a) = 0.
-3, -1, 0, 2
Factor 2*n**2 + 48*n - 206*n - n**2 - 24*n + n**2.
2*n*(n - 91)
Let c(l) be the second derivative of l**5/210 - 143*l**4/126 - 734*l**3/63 - 296*l**2/7 + 1794*l - 1. Factor c(w).
2*(w - 148)*(w + 2)*(w + 3)/21
Let v(l) be the second derivative of 2*l**7/21 - 36*l**6/5 + 671*l**5/5 + 1622*l**4/3 - 448*l**3 - 3136*l**2 + 63*l + 9. Suppose v(h) = 0. Calculate h.
-2, -1, 1, 28
Let g(u) be the third derivative of u**5/75 - 76*u**4/15 + 302*u**3/15 - 627*u**2. What is t in g(t) = 0?
1, 151
Let r(t) be the third derivative of -t**7/280 + 2*t**6 - 3279*t**5/10 + 3160*t**4 - 12482*t**3 + 1512*t**2 - 2. Find k such that r(k) = 0.
2, 158
Factor 78 - 190*d - 402 + 161*d + 145*d - d**2 + 209*d.
-(d - 324)*(d - 1)
Let a(b) be the third derivative of -b**7/70 - 553*b**6/120 - 12787*b**5/30 - 1012*b**4/3 + 8464*b**3/3 + 4781*b**2. Solve a(y) = 0 for y.
-92, -1, 2/3
Let b(w) be the first derivative of 13*w**6/6 - 11*w**5/5 - 7*w**4 - 4*w**3/3 + 942. Suppose b(l) = 0. Calculate l.
-1, -2/13, 0, 2
Factor -764/9*o + 82/3*o**2 + 2/9*o**3 - 112.
2*(o - 4)*(o + 1)*(o + 126)/9
Let o = 67651 + -67646. Let -8/3*a**2 - 8/3*a + 2*a**3 - 2/3*a**o + 4/3*a**4 + 0 = 0. Calculate a.
-1, 0, 2
Let a(s) be the first derivative of -s**5/2 - 225*s**4 - 1195*s**3/2 - 895*s**2/2 - 2372. Solve a(b) = 0.
-358, -1, 0
Let g be (-25)/(35/7)*-1. Factor -8*x**4 + x**4 - g*x**4 + 80*x**2 + 18*x**4 - 124*x**3.
2*x**2*(x - 20)*(3*x - 2)
Let v(u) = u**3 + 19*u**2 - 19*u + 23. Let b be v(-20). Suppose 4*q - 4*l = -b + 47, -10 = -q + 2*l. Factor 6*x**3 - 79*x**4 + 82*x**4 + q*x - 15*x**3.
3*x*(x - 2)**2*(x + 1)
Factor -20*o + 7*o**3 + 1/2*o**4 - 3/2*o**2 + 14.
(o - 1)**2*(o + 2)*(o + 14)/2
Find d such that -5/6*d**2 - 1/6*d**5 + d + 5/6*d**4 - 5/6*d**3 + 0 = 0.
-1, 0, 1, 2, 3
What is v in -983 - v**3 - 159*v**2 + 691 - 156*v + 608 = 0?
-158, -2, 1
Let h(n) be the first derivative of -2*n**3 + 3/10*n**5 - 3*n**2 - 47 + 0*n + 3/8*n**4. Factor h(p).
3*p*(p - 2)*(p + 1)*(p + 2)/2
Suppose -3*k - 19 = 5*m, 5*k + 5 = m + 20. Suppose 0 = r - 10, 69*r + 36 = 3*p + 72*r. Factor 2 + 1/2*q**p - k*q.
(q - 2)**2/2
Factor -3*t**4 - 96523*t - 316872*t**2 - 43139*t + 1953*t**3 - 100367*t - 78799*t.
-3*t*(t - 326)**2*(t + 1)
Let s(h) = h**3 + 17*h**2 - 14*h + 77. Let x be s(-18). What is a in 85*a**3 + x*a**5 + 40*a**3 - 640*a - 640 - 40*a**2 + 15*a**3 + 50*a**4 = 0?
-4, -2, 2
Let g = 918/109 + 12332/2289. Let f(n) be the first derivative of 64/7*n**2 - 361/21*n**6 - g*n**3 + 3 - 8/7*n - 859/14*n**4 - 2014/35*n**5. Factor f(i).
-2*(i + 1)**3*(19*i - 2)**2/7
Determine z so that -33 + 844*z + 18*z**2 - 818*z - 23*z**2 = 0.
11/5, 3
Let a(h) be the second derivative of -16/9*h**2 + 2 + 2*h - 28/9*h**3 + 1/27*h**7 - 13/90*h**5 + 2/9*h**6 - 52/27*h**4. Suppose a(k) = 0. What is k?
-4, -1, -2/7, 2
Let c(p) be the second derivative of 3/2*p**3 - 53*p + 1/12*p**4 - 11*p**2 + 0. What is l in c(l) = 0?
-11, 2
Let l = -217483 + 217485. Factor -30/7*c + 9/7*c**l + 0 + 3/7*c**3.
3*c*(c - 2)*(c + 5)/7
Let g(y) be the third derivative of -y**5/150 + 251*y**4/60 + 84*y**3/5 - 2130*y**2. Determine o so that g(o) = 0.
-1, 252
Let w be (-2)/(-4 + 201/51). Let a = w + 8. Find v such that 25 + v**2 + 21 + 5*v - a = 0.
-4, -1
Suppose -3*t - 13 = -s - 61, -2*t = -3*s - 39. Suppose -g - 3 = -5*o + t, -14 = -g - 3*o. Find a such that -15*a**4 + 13*a**4 + a**3 + 3*a**3 - 2*a**g = 0.
0, 1
Let q(i) = 35*i**2 - 600*i - 775. Let s(x) = -33*x**2 + 599*x + 770. Let m(v) = 4*q(v) + 5*s(v). Factor m(n).
-5*(n - 25)*(5*n + 6)
Determine k so that 17*k + 10*k**2 + 4*k**3 - 231*k + 19*k**2 - 177*k**2 - 320 - 258*k = 0.
-2, -1, 40
Let x = -1788378/7 + 255483. Factor x*c + 10/7*c**2 + 0.
c*(10*c + 3)/7
Let l = -20842 - -20845. Let a(j) be the third derivative of 23*j**2 + 1/20*j**4 + 1/150*j**5 + 0 + 0*j - 4/15*j**l. Factor a(c).
2*(c - 1)*(c + 4)/5
Let b be (72/(-30))/((-4)/10). Suppose -2*n + b = g, 0 = 4*n + 20*g - 21*g - 6. What is k in -8/7*k - 16/7 - 1/7*k**n = 0?
-4
Factor -227/2 - 455/4*a - 1/4*a**2.
-(a + 1)*(a + 454)/4
Let i(u) = -u + 8. Let b be i(8). Suppose 0 = -3*o, 4*j = -b*j + 3*o + 20. Factor -j*g**2 + g**3 - 6*g**5 + 45*g**4 - 16*g**3 - 19*g**5.
-5*g**2*(g - 1)**2*(5*g + 1)
Let t = 46348/17 - 883276/357. Let n = t - 754/3. Factor 2/7*q**2 + n*q + 4/7.
2*(q + 1)*(q + 2)/7
Let h(p) be the second derivative of 0*p**2 + 0 - 2/27*p**3 + 1/45*p**5 + 1/135*p**6 - 1/54*p**4 + 64*p. Factor h(g).
2*g*(g - 1)*(g + 1)*(g + 2)/9
Suppose -59 = -13*c + 3*z, -18*c - 5*z = -13*c - 35. What is l in 0*l**2 + 0 + 0*l**3 + 1/4*l**c + 1/4*l**4 + 0*l = 0?
-1, 0
Let d be 72/96*120/18. Let r(h) be the second derivative of 8/9*h**3 - 17/36*h**4 + 1/12*h**d + 0 + 14*h - 2/3*h**2. Factor r(a).
(a - 2)*(a - 1)*(5*a - 2)/3
Let f be ((7 - (5 + 3 - 1))/(-2))/((-75)/15). Factor -80/3*w + 92/5*w**3 + f - 14/15*w**4 - 88*w**2.
-2*w*(w - 10)**2*(7*w + 2)/15
Suppose 0 + 2/15*p**3 - 224/15*p - 116/15*p**2 + 2/15*p**4 = 0. Calculate p.
-7, -2, 0, 8
Suppose 3*j + 5 = 4*h, -2*j - 17 = 5*h - 6. Let c(z) = -19*z - 54. Let b be c(j). Factor -2*g**2 - 1/2*g**b + 0 + 0*g.
-g**2*(g + 4)/2
Let v be 9/(4 - 4711/1169). Let i = -295 - v. Find b, given that -64/5*b - 4/5*b**3 + 48/5 + i*b**2 = 0.
2, 3
Let o = 194207/3 - 64735. Wha