Suppose i*j - 102 = 2. Let -j*o - 11*o - o**2 - 3*o - 10 + 16*o = 0. Calculate o.
-10, -1
Let u(h) = -7*h + 144. Let z be u(19). Solve -78*l - z - 180*l**2 - 85 + 310*l + 48*l**3 - 4*l**4 = 0.
1, 4, 6
Let j be ((-24)/(-8))/((-4)/(-24)). Find w such that j*w**4 - 140*w**3 + 312*w**2 - 32*w**4 + 3 - 21*w**4 - 15*w**4 + 61 + 304*w = 0.
-4, -2/5, 2
Let w be (-4*3)/(66/363 - (-35)/231*-21). Find i, given that -1/5*i**w - 324/5*i - 19/5*i**3 - 216/5 - 126/5*i**2 = 0.
-6, -1
Let k(t) be the first derivative of t**5/40 - 37*t**4/32 + 131*t**3/8 - 935*t**2/16 + 289*t/4 + 1152. Factor k(v).
(v - 17)**2*(v - 2)*(v - 1)/8
Suppose 11*t + 32 - 175 = 0. Let j be t/4 + 9/(-36). Determine n, given that -1 - j*n**3 + 4*n + 10 - n**3 - 8*n**2 - 1 = 0.
-2, -1, 1
Let 22/3*m**2 + 124/3*m + 1/3*m**3 + 56 = 0. What is m?
-14, -6, -2
Let j = 551 + -508. Let b be j/26 + -3 + (-30)/(-20). Factor -2/13*f**5 - b*f**3 + 8/13*f - 20/13*f**2 + 16/13 + 8/13*f**4.
-2*(f - 2)**3*(f + 1)**2/13
Let v be (-783 - (-104)/(-8))*2/266. Let m = -111/19 - v. Suppose -m*r**2 - 10/7 - 11/7*r = 0. What is r?
-10, -1
Let o(b) be the first derivative of 26*b**3/9 - 49*b**2/3 - 8*b + 3305. Let o(a) = 0. Calculate a.
-3/13, 4
Let k(i) be the first derivative of i**4 - 12*i**3 - 132*i**2 - 224*i - 8455. Suppose k(n) = 0. Calculate n.
-4, -1, 14
Let i(d) be the second derivative of -1/4*d**5 - 30*d**2 + 65/6*d**3 + 0*d**4 - 5*d - 2. Determine q, given that i(q) = 0.
-4, 1, 3
Suppose 2*h - 4*u - 46 = 0, -2*h + 5*u = -49 + 1. Factor 12*w + 15*w + 7*w**3 + 2*w**3 - h*w + 60 + 40*w - 57*w**2.
3*(w - 5)*(w - 2)*(3*w + 2)
Let t be (-10 - -9)/((-3)/(-1407)). Let k = t - -939/2. Find s, given that -1/4*s**2 + k*s + 0 = 0.
0, 2
Let f = 161 - 125. Suppose -h + 3*z + 12 = z, -5*h + 4*z = -f. Factor -8*n**3 + 2*n**4 - 6 - h + 12*n**2 - 8*n + 12.
2*(n - 1)**4
Suppose 8 = a, 0 = 3*p - a + 41 - 42. Factor -128/13 + 2/13*h**p - 24/13*h**2 + 96/13*h.
2*(h - 4)**3/13
Let o be 21030/(-6228)*(-2)/5. Let s = o - 3/173. Factor -2/3*r - s*r**2 + 2/3*r**3 + 4/3.
2*(r - 2)*(r - 1)*(r + 1)/3
Factor -64 + 28/3*o + 2/9*o**2.
2*(o - 6)*(o + 48)/9
Let f(l) be the third derivative of -9/14*l**3 + 0 - 1/20*l**5 + 0*l + 167*l**2 + 3/7*l**4. Factor f(b).
-3*(b - 3)*(7*b - 3)/7
Suppose -k - 7*k = -48. Let f be 1 + k/(-4) + (-27)/(-54). Suppose 3/4*m + f - 5/4*m**2 = 0. Calculate m.
0, 3/5
Let y = -2676320/11 - -243302. Factor -28/11*a**2 + y*a**3 - 4 + 70/11*a.
2*(a - 11)*(a - 2)*(a - 1)/11
Suppose -3*x + 4*k - 8 = -101, -4*x + 3*k = -131. Let n be ((-135)/x)/9*-8 + 0. What is t in 12/7 + 54/7*t + n*t**2 = 0?
-2, -1/4
Let b(p) = -1450*p + 27560. Let v be b(19). Find d such that 0*d - 2/3*d**5 - 6*d**2 - v*d**3 + 0 - 14/3*d**4 = 0.
-3, -1, 0
Let l(j) = 180*j**2 - 21485*j + 5435. Let g(k) = 44*k**2 - 5371*k + 1358. Let q(z) = -25*g(z) + 6*l(z). Factor q(a).
-5*(a - 268)*(4*a - 1)
Let q be ((-12)/180)/(0 + (-6)/20). Let x = -2618/9 - -292. Solve x*h + 0 - q*h**2 = 0 for h.
0, 5
Let t(i) be the second derivative of -i**4/8 + 20*i**3 - 237*i**2/4 + 1584*i. Factor t(r).
-3*(r - 79)*(r - 1)/2
Let m(t) = 2*t**3 - 3*t**2 - 8*t + 26. Let j be m(6). Suppose 306 = 2*d + j. Factor -2/9 + a**d + 7/9*a.
(a + 1)*(9*a - 2)/9
Let d = 526830 - 526827. Let c = 129 + -642/5. What is j in 0 - 6/5*j**2 + c*j**5 + 6/5*j**4 + 0*j**d - 3/5*j = 0?
-1, 0, 1
Suppose f + 1365*v = 1369*v + 54, 2*f - 4*v = 56. Factor -6 + m**f - 1/3*m**4 - 25/3*m + 3*m**3.
-(m - 9)*(m - 2)*(m + 1)**2/3
Let q(r) be the third derivative of 0 + 1/150*r**6 + r - 7*r**2 - 2/15*r**4 + 8/5*r**3 - 1/25*r**5. Determine n, given that q(n) = 0.
-2, 2, 3
Suppose 13*w - 2*w = 77. Solve 2*b**2 + 16*b**3 + 19*b - w*b - 28*b - 2*b**4 = 0 for b.
-1, 0, 1, 8
Let n(y) be the first derivative of y**3 + 39*y**2 + 3*y + 108. Let k be n(-26). Factor 6/11*w**2 - 4/11*w - 2/11*w**k + 0.
-2*w*(w - 2)*(w - 1)/11
Let k(g) be the first derivative of -24/7*g + 13/7*g**2 - 124 - 1/14*g**4 + 0*g**3. Factor k(c).
-2*(c - 3)*(c - 1)*(c + 4)/7
Let k = 2944 + -2940. Let z(o) be the third derivative of 3/11*o**3 + 7/22*o**k + 0*o + 13*o**2 + 49/330*o**5 + 0. Suppose z(a) = 0. Calculate a.
-3/7
Suppose 0 = 7*s - 11*s + 8. Determine l, given that -4*l - l**2 - 6*l**3 + 12*l + 7*l**s + 2*l**2 = 0.
-2/3, 0, 2
Suppose 67 + 9 = 19*n. Solve -r - 58*r - 26*r + 3*r**2 + n*r = 0.
0, 27
Let r = 73/70 - 9/10. Let n be 28/182 - (2 + 50/(-13)). Find b, given that 144/7 + r*b**n - 24/7*b = 0.
12
Let m(i) be the first derivative of -1/8*i**2 - 3/2*i + 1/12*i**3 - 53. Factor m(p).
(p - 3)*(p + 2)/4
Let q(b) be the second derivative of -b**6/120 + b**4/2 + 40*b**3/3 - b**2 - 7*b - 1. Let p(m) be the second derivative of q(m). Factor p(a).
-3*(a - 2)*(a + 2)
Let g(f) be the third derivative of -77/12*f**4 - 1/60*f**6 + 31*f - 98/3*f**3 - 8/15*f**5 + 0 - 3*f**2. Determine p so that g(p) = 0.
-7, -2
Let v be ((-7)/17241)/(1/12). Let f = v - -6596/5747. Solve 4/7*p**3 - 12/7*p**2 + 4/7*p + 12/7*p**4 - f*p**5 + 0 = 0 for p.
-1, 0, 1/2, 1
Let m(h) be the third derivative of -h**6/120 - 3*h**5/20 + 49*h**4/24 - 13*h**3/2 + 24*h**2 - 74. Find c, given that m(c) = 0.
-13, 1, 3
Let v = -187014 - -187014. Let j = 1986/1235 + -2/247. Suppose -2/5*g**4 - 8/5*g**3 + 0*g - j*g**2 + v = 0. What is g?
-2, 0
Find n such that -34599 - 3588*n**2 + 86385 + 35876 + 85138 - 15*n**3 - 213120*n = 0.
-120, 4/5
Let d(h) be the third derivative of -h**8/20160 + h**7/7560 + 7*h**4/24 - 5*h**3/6 - 4*h**2 + 3. Let l(i) be the second derivative of d(i). Factor l(s).
-s**2*(s - 1)/3
Let k(p) be the third derivative of -p**6/225 - p**5/300 - 17*p**3/6 - 20*p**2. Let r(g) be the first derivative of k(g). Factor r(v).
-2*v*(4*v + 1)/5
Let b(a) = a**2 - 9*a + 20. Let j be b(6). Factor 4*y**j + 34*y**3 - 33*y**3 - 4*y**2 - 12 - 13*y.
(y - 4)*(y + 1)*(y + 3)
Suppose -53 = -f + 288*o - 283*o, -3*f - 1 = o. Suppose 132*z**f + 14*z**4 + 696/7*z - 1630/7*z**2 - 88/7 = 0. What is z?
-11, 2/7, 1
Factor -1/5*i**3 + 578/5 - 357/5*i + 36/5*i**2.
-(i - 17)**2*(i - 2)/5
Let x(j) be the second derivative of 47*j**4/36 - 15*j**3/2 - 3*j**2 - 261*j + 5. Let x(t) = 0. What is t?
-6/47, 3
Let o(r) be the second derivative of -r**6/60 - 3*r**5/20 - r**4/3 + 2*r - 156. Solve o(f) = 0.
-4, -2, 0
Let z(i) be the first derivative of -7*i**5/5 - 985*i**4/4 - 11337*i**3 + 45085*i**2/2 - 10082*i + 844. Determine q so that z(q) = 0.
-71, 2/7, 1
Let s(h) = 24789*h - 198310. Let y be s(8). Factor -30/7*w + 2/7*w**y + 0.
2*w*(w - 15)/7
Let c = 6208 + -6199. Let q(m) be the second derivative of 0 + 0*m**5 + 0*m**3 - 4/45*m**6 + 0*m**4 - 1/63*m**7 - c*m + 0*m**2. Suppose q(b) = 0. Calculate b.
-4, 0
Let y be ((-41533)/984 - -43) + (-2)/(-48). Factor 5/6*w**3 - y - 5/6*w + 5/6*w**2.
5*(w - 1)*(w + 1)**2/6
Suppose 58*m = 53*m - 50. Let t be (-82)/(-26) - -2 - (m - -15). Factor 2/13*f**3 - t*f**4 + 0*f + 0*f**2 + 0.
-2*f**3*(f - 1)/13
Let p(x) be the third derivative of x**5/12 - 965*x**4/6 + 372490*x**3/3 + 1619*x**2. Suppose p(k) = 0. What is k?
386
Let q(m) = -m**3 + 17*m**2 - 33*m - 257. Let i be q(7). Factor 24/7*u**4 + 166/7*u**3 + 264/7*u**i + 121/7*u + 0 + 1/7*u**5.
u*(u + 1)**2*(u + 11)**2/7
Suppose -4*x + 4 = 2*p, -3*p - 13 = -5*x + 3. Let k be (121 - 0) + 1/1. Determine u, given that -u**2 + 5*u**2 - x*u**4 - 2*u**2 - 124*u**3 + k*u**3 + 2*u = 0.
-1, 0, 1
Let d be (-16)/(-40) - 46/(-10). Suppose 4 = -d*z + 7*z. Find l such that 11*l - 7*l - 9*l + 10 - 6*l**2 + l**z = 0.
-2, 1
Solve 542*f + 1008*f**3 - 60 - 59*f**4 - 371*f**2 + 27*f**4 - 650*f**2 - 437*f**2 = 0 for f.
1/4, 1, 30
Let d = -310 - -868. Let h = d - 558. Find g such that 1/5*g**2 - 1/10*g**3 + h - 1/10*g = 0.
0, 1
Let m be (-10)/9*-63*(-728)/(-9555). Suppose a = -2*a + 6. Factor -8/3*l - m - 1/3*l**a.
-(l + 4)**2/3
Let v(r) = r**3 + 12*r + 22. Let u(m) = 4*m**3 + 36*m + 69. Let k(n) = 2*u(n) - 7*v(n). Factor k(a).
(a - 4)*(a + 2)**2
Let n(i) be the third derivative of -49*i**5/300 - 77*i**4/60 - 121*i**3/30 + 1637*i**2. Factor n(c).
-(7*c + 11)**2/5
Suppose 4*j + 9 = 29, -2 = -4*l + 2*j. Factor -27/2*t - l - 21/2*t**2.
-3*(t + 1)*(7*t + 2)/2
Let z be (8/(-12))/((-133)/(-45) + -3). Let a(p) = -4*p**2 + 25*p + 215. Let m(c) = -c**2 - c - 2. Let s(g) = z*m(g) - 3*a(g). Suppose s(r) = 0. What is r?
-15
Let v = 87 + -61. Let l = -