q**2 + 7/40*q**5 + 0. Suppose h(v) = 0. What is v?
-3, -2, 2
Suppose -4*m + 2 = 2 - 20. Let q(l) be the second derivative of 0 - 5/12*l**4 - 2/45*l**6 + 12*l + 13/60*l**m + 7/18*l**3 - 1/6*l**2. Solve q(t) = 0 for t.
1/4, 1
Let j(n) be the second derivative of -5*n**4/6 + 33*n**3/2 + 121*n**2/2 + 31*n + 79. Factor j(b).
-(b - 11)*(10*b + 11)
Let c be 10 - -1 - (-20184)/(-2088). What is h in 0 - 4*h**4 + 8/3*h**2 + 0*h + c*h**3 = 0?
-2/3, 0, 1
Let d = -37 + 81. Suppose 8*j - d = -3*j. Let -86*a**5 + 4*a**3 + 6 - 12*a**2 + 84*a**5 - a - a + 6*a**j = 0. Calculate a.
-1, 1, 3
Let j = 15/8926 - -624775/26778. Factor 2/3*l**4 + 0 - 22/3*l**3 + j*l**2 - 50/3*l.
2*l*(l - 5)**2*(l - 1)/3
Let s(x) = 47*x**2 + 5*x + 29. Let b be s(-4). Suppose -7*q = 747 - b. Factor 5 - 5/3*c**q + 10/3*c.
-5*(c - 3)*(c + 1)/3
Let x be 40/6 - 25/((-450)/(-12)). Let r be (-19)/(-6)*3 + (x - 11). Find o, given that -r*o**4 + 6*o - 15/2*o**3 + 3/2*o**5 + 9/2*o**2 + 0 = 0.
-1, 0, 1, 4
Let y(x) be the second derivative of 0*x**2 + 19 + 1/252*x**7 - 1/18*x**4 + 1/45*x**6 + 2*x - 1/9*x**3 + 1/40*x**5. Factor y(v).
v*(v - 1)*(v + 1)*(v + 2)**2/6
Let s be 1950/57525 + (0 - (-5538)/236). Factor -s*q**2 - 3/2*q**4 - 9*q - 16*q**3 + 0.
-q*(q + 1)*(q + 9)*(3*q + 2)/2
Let p = -524 + 533. Let l be p/(-2 + 5) + (-20)/8. Solve -3/2*u - 1 + 0*u**2 + l*u**3 = 0.
-1, 2
Let y = -2152117/21 + 102457. Let p = y + 178/7. Factor 0 + p*k**2 - 1/3*k**3 + 0*k.
-k**2*(k - 2)/3
Factor 1/2*t**2 - 131 - 129/2*t.
(t - 131)*(t + 2)/2
Let v(a) = 3*a**3 + 1 + 3*a**5 - 2*a**3 - 3 - 26*a**4 + 20*a**4. Let i(w) = w**3 - 2. Let d(k) = i(k) - v(k). Determine h, given that d(h) = 0.
0, 2
Let p(c) be the first derivative of c**3/7 - 2340*c**2/7 + 1825200*c/7 - 1990. Factor p(x).
3*(x - 780)**2/7
Let m be ((-24)/(-27))/((-18880)/(-360) - 52). Factor -2/7*i**m - 8/7*i - 6/7.
-2*(i + 1)*(i + 3)/7
Let c = -564 + 581. Let g(q) = q + 1. Let y be g(5). Determine b so that -6*b + 27*b**3 - 27*b + y + 19*b**2 + c*b**2 + 0 = 0.
-2, 1/3
Let c(l) = -l**2 + 562*l - 25949. Let y(w) = 17901 + 1803 - 1100*w + 3*w**2 + 84093 - 1150*w. Let h(a) = -9*c(a) - 2*y(a). Solve h(u) = 0 for u.
93
Let -9 - 279 + 9*r + 14*r**3 - 51*r**2 + 251*r**2 + 48*r**2 + 927*r = 0. What is r?
-12, -6, 2/7
Suppose -116 = -5*p + p - 4*s, -2*p - 3*s + 54 = 0. Solve 69*l + 76*l**3 - 8*l**5 + 7*l - 16 - p*l**4 - 124*l**2 + 29*l**4 = 0 for l.
-4, 1/2, 1
Let s = 790 - 785. Determine o so that -1266*o**2 - 368*o**2 - 440 - 595*o**3 - 80*o**4 - 1300*o + s*o**5 + 264*o**2 = 0.
-2, -1, 22
Let r = -25 + -84. Let s = r + 137. Solve 5*a**4 + 5*a**3 + 5*a**4 + 28 - s + 5*a**5 = 0 for a.
-1, 0
Let x(j) = -j**3 - 107*j**2 + 239*j + 2292. Let y be x(-109). Factor 0 + 1/5*c**y - 22/5*c**2 + 121/5*c.
c*(c - 11)**2/5
Let q be 6/213 + 32032/304590. Suppose q*k**3 + 8/15 + 0*k - 14/15*k**2 - 2/15*k**5 + 2/5*k**4 = 0. What is k?
-1, 1, 2
Let m(u) be the second derivative of 0*u**2 + 9/10*u**6 + 39/20*u**5 + 10/9*u**4 + 2/9*u**3 - 48*u + 1. Find v, given that m(v) = 0.
-1, -2/9, 0
Let f(n) be the second derivative of 2 + 1/2*n**4 + 3/70*n**5 - 3/14*n**3 + 1/98*n**7 - 1/14*n**6 - 27/14*n**2 - 14*n. Determine c, given that f(c) = 0.
-1, 1, 3
Factor 9/7*x - 1/7*x**4 + 11/7*x**2 - 10/7 - 9/7*x**3.
-(x - 1)**2*(x + 1)*(x + 10)/7
Let 4/21*v**4 + 26/21*v**3 - 16/7*v + 0 - 2/21*v**5 - 4/3*v**2 = 0. Calculate v.
-3, -1, 0, 2, 4
Let y = -505274/15 - -33685. Let o(t) be the first derivative of 1/25*t**5 - 1/20*t**4 - y*t**3 + 45 + 0*t + 1/10*t**2. Solve o(b) = 0.
-1, 0, 1
Let z be 612/14040*923 + 24/90. Find i, given that -1/2*i**3 - 840*i + z*i**2 + 800 = 0.
1, 40
Let g(u) be the second derivative of 1/12*u**3 + 0 - 1/40*u**5 - 1/6*u**2 - 25*u + 1/180*u**6 + 1/72*u**4. Factor g(d).
(d - 2)*(d - 1)**2*(d + 1)/6
Suppose 21316 - 147*k**4 - 10950*k + 1/2*k**5 - 21169*k**2 + 21899/2*k**3 = 0. What is k?
-1, 1, 2, 146
Let g(p) be the first derivative of p**6/240 + p**5/30 - p**4/12 - 4*p**3/3 - 139*p**2/2 - 80. Let z(c) be the second derivative of g(c). Solve z(x) = 0 for x.
-4, -2, 2
Let h(g) be the third derivative of -2*g**7/315 - 8*g**6/45 - 7*g**5/5 - 52*g**2 - 21*g - 2. Find x, given that h(x) = 0.
-9, -7, 0
Solve -66 + 180*i + 17 - 331 + 5*i**2 + 0*i**2 = 0 for i.
-38, 2
Let m be (1090/(-80) - (1 - 3))*(-636)/477. Solve -25/2*x**4 - 57/2*x**3 + 12*x + 10 - 3/2*x**5 - m*x**2 = 0 for x.
-5, -2, -1, 2/3
Factor -2/3*h**2 - 1240/3 + 414*h.
-2*(h - 620)*(h - 1)/3
Let d(p) = -146*p**2 - 2203*p. Let n(w) = 32*w**2 + 550*w. Let s(t) = -2*d(t) - 9*n(t). Find l, given that s(l) = 0.
0, 136
Let a = 1106 + -1096. Suppose -5*b - 42 + 17 = 0, -c + 2*b + a = 0. Factor 0 + c*i + 0*i**2 - 1/7*i**5 + 1/7*i**3 + 0*i**4.
-i**3*(i - 1)*(i + 1)/7
Let p be ((-198)/9)/((-5)/(45/(-6))). Let h(o) = -114*o**3 - 129*o**2 - 81*o. Let y(n) = 7*n**3 + 8*n**2 + 5*n. Let i(m) = p*y(m) - 2*h(m). Factor i(a).
-3*a*(a + 1)**2
Let a(k) = 13*k**3 + 85*k**2 + 5*k - 85. Let u(x) = -140*x**3 - 935*x**2 - 55*x + 935. Let o(i) = 65*a(i) + 6*u(i). Factor o(w).
5*(w - 17)*(w - 1)*(w + 1)
Let q(j) be the second derivative of -j**5/90 - 5*j**4/6 - 26*j**3/3 + 3810*j. Factor q(r).
-2*r*(r + 6)*(r + 39)/9
Let g(d) = -8*d**2 - 195*d + 2513. Let n(j) = -5*j**2 - 130*j + 1675. Let o(f) = -5*g(f) + 7*n(f). Let o(b) = 0. Calculate b.
-21, 8
Let h(j) be the first derivative of -j**4/7 - 16*j**3/7 - 22*j**2/7 + 96*j - 1980. Factor h(p).
-4*(p - 3)*(p + 7)*(p + 8)/7
Let f = -6500/33 - -2262/11. Let f + 89/3*j - 59/3*j**2 + 4/3*j**3 = 0. Calculate j.
-1/4, 2, 13
Let o(d) be the third derivative of -d**7/420 + d**6/180 + 4*d**5/45 + 3*d**2 - 60*d. Factor o(t).
-t**2*(t - 4)*(3*t + 8)/6
Let y(g) be the third derivative of 2/1575*g**7 + 0*g - 25/3*g**3 + 3/100*g**6 + 0 + 7/30*g**5 + 5/36*g**4 + 77*g**2. Suppose y(z) = 0. Calculate z.
-5, 3/2
Let p(m) = m**3 - 68*m**2 - 276*m - 210. Let z(t) = -t**2 - t - 1. Let n(i) = p(i) - 3*z(i). Solve n(v) = 0 for v.
-3, -1, 69
Let g(u) be the first derivative of -115*u**6/6 - 151*u**5/5 + 543*u**4/4 - 161*u**3/3 - 64*u**2 + 12*u + 229. Determine m, given that g(m) = 0.
-3, -2/5, 2/23, 1
Let w(s) be the second derivative of s**6/40 - 21*s**5/8 - 293*s**4/16 - 111*s**3/4 - 177*s + 2. Solve w(c) = 0 for c.
-3, -1, 0, 74
Suppose r - 78 = -18*n - 84, n - 24 = 4*r. Let -7/4*x**4 + n*x + 15/4*x**3 + 1/4*x**5 + 0 - 9/4*x**2 = 0. What is x?
0, 1, 3
Let i(t) = 2*t**2 + 12*t + 24. Let c be i(-3). Suppose 2*g + 4*u + c = -6, 4 = -u. Factor -5/2*h**g + 0 + h**3 + 3/2*h.
h*(h - 1)*(2*h - 3)/2
Let l(f) be the first derivative of -4*f**3/21 + 72*f**2 - 9072*f - 2898. Factor l(b).
-4*(b - 126)**2/7
Let u(h) be the second derivative of h**6/30 + h**5/4 - 13*h**4/12 + 7*h**3/6 - 1237*h. Suppose u(f) = 0. Calculate f.
-7, 0, 1
Let j(n) be the third derivative of n**5/210 - 197*n**4/28 + 590*n**3/21 + 6*n**2 + 345*n. Factor j(l).
2*(l - 590)*(l - 1)/7
Factor 308/3 + 307/3*b - 1/3*b**2.
-(b - 308)*(b + 1)/3
Solve -172*n**4 + 60*n**2 - 73822*n**5 - 324*n**3 + 112*n**2 + 328*n + 73818*n**5 = 0.
-41, -2, -1, 0, 1
Let d be ((-4)/(-9))/((-102)/(-1071)*(0 - -7)). Factor -4*f**3 - d*f**4 + 10/3*f - 4/3*f**2 + 2/3*f**5 + 2.
2*(f - 3)*(f - 1)*(f + 1)**3/3
Let y = -66584/5 - -13317. Let h(a) be the first derivative of 1/10*a**4 - 1/5*a**2 + 0*a**3 + 38 + y*a - 1/25*a**5. Factor h(i).
-(i - 1)**3*(i + 1)/5
Let c(x) be the first derivative of 2/15*x**3 - 44/5*x**2 + 0*x + 283. Solve c(o) = 0.
0, 44
Let u be 10/(-6) + 9590/2055. Factor -1/5*z**4 - 23/5*z**2 + 0 - 9/5*z**u - 3*z.
-z*(z + 1)*(z + 3)*(z + 5)/5
Let z = -721620 + 721622. Let 3/5*s**3 + 1/5*s**4 + 0 - 24/5*s - 2*s**z = 0. Calculate s.
-4, -2, 0, 3
Let y be (345/(-30) + 10 + 1/6*11)*6. Factor -88/7 + 40/7*i + 2/7*i**y.
2*(i - 2)*(i + 22)/7
Let w(l) = 3*l**2 - 13*l - 5. Let o = 908 + -909. Let h(k) = k**2 - k - 1. Let s(i) = -i**2 - 5*i + 1. Let a be s(-4). Let r(g) = a*h(g) + o*w(g). Factor r(b).
2*b*(b + 4)
Let u(p) = p**3 + 3*p**2 - 3*p + 7. Let z be u(-4). Suppose -2*i = -q + 13, q + 4 + z = -3*i. Find b such that -q*b**3 - 3*b + 8*b + 5*b**5 - 5*b**3 = 0.
-1, 0, 1
Let g = 50 - 48. Suppose -5*c = -15, q = 6*q - 4*c - 88. Factor q*i**4 - 2*i**3 + g*i**3 + 2*i**2 - 21*i**4 - 1.
-(i - 1)**2*(i + 1)**2
Factor -379*d**4 + 1663*d**4 + 8*d**5 + 23958*d**3 + 27882*d**3 - 88180*d**2 +