of k(i). Let t(c) = 0. Calculate c.
-9, 1
Let d = 1705296/5 + -341056. Solve -34/5*b**3 - d + 132/5*b**2 - 24*b = 0 for b.
-2/17, 2
Determine o so that 771 + 96*o + 6308*o**2 - 169 - 31*o**3 - 691*o**3 - 4450*o + 182 = 0.
7/19, 8
Let g be (-1)/(-4)*(-190 - -182) + 2*1. Let -1/2*d**2 + 8 + g*d = 0. What is d?
-4, 4
Determine y, given that 834*y - 1332*y - y**2 - 1157 - 660*y = 0.
-1157, -1
Let f be -20 - (-28 - 609/(-84)). What is u in f*u + 1 - 1/4*u**2 = 0?
-1, 4
What is z in -1040*z**2 - 65*z**3 + 93*z**4 + 701*z**4 + 1095*z**3 + 2382*z**3 + 14*z**5 = 0?
-52, -5, 0, 2/7
Solve -4*v**2 - 34/5*v - 2/5*v**3 - 16/5 = 0 for v.
-8, -1
Let w be (12/30)/(76/228). Factor -4/5*f - w + 2/5*f**2.
2*(f - 3)*(f + 1)/5
Let j(t) be the first derivative of -2*t**3/27 - 101*t**2/9 + 280*t/3 + 4432. Let j(d) = 0. What is d?
-105, 4
Factor -40/13*k**2 + 2/13*k**4 + 0*k - 2/13*k**3 + 0.
2*k**2*(k - 5)*(k + 4)/13
Let c be 2 + 0*(-1)/(-3). Let y = -106307 - -106316. Factor -6*l**3 - 6*l + 3/2 + 3/2*l**4 + y*l**c.
3*(l - 1)**4/2
Let y(g) be the first derivative of 7*g**5/40 - g**4/4 - 5*g**2/2 + 5*g - 57. Let u(o) be the second derivative of y(o). Factor u(s).
3*s*(7*s - 4)/2
Let u(r) be the third derivative of r**6/80 - 31*r**4/16 - 15*r**3/2 - 53*r**2 + 16. Suppose u(m) = 0. Calculate m.
-5, -1, 6
Solve 45*q - 20*q**2 + 5/2*q**4 - 45/2 - 5*q**3 = 0 for q.
-3, 1, 3
Let p(w) = 2*w - 3. Let g be p(3). Suppose 2*l = -g*t + 25, 3*t - 9 = 6. Factor 0*o + 4/15*o**4 + 0 + 0*o**2 - 2/15*o**l - 2/15*o**3.
-2*o**3*(o - 1)**2/15
Let y = 12489/15611 + -1/78055. Determine k so that -2/5*k**3 + 4/5 - y*k**2 + 2/5*k = 0.
-2, -1, 1
Let i be (100/80)/(1/(-4)). Let z be 1/((i/(-7))/(20/140)). Let z*v**2 + 2/5*v + 1/5 = 0. Calculate v.
-1
Let f(s) = -10*s**2 - 1036*s + 48. Let d(r) = -12*r**2 - 1036*r + 64. Let b(i) = -3*d(i) + 4*f(i). Factor b(o).
-4*o*(o + 259)
Let j be (2 - 0) + 0*(-3)/(-3). Factor 3*o**3 + 62*o - 161*o**4 - 8*o + 54*o**j + 15*o**3 + 163*o**4.
2*o*(o + 3)**3
Let y(h) be the third derivative of -h**4 + 36*h**3 + 1/90*h**5 + 11*h**2 + 0*h + 0. Find w, given that y(w) = 0.
18
Let -66*k + 3/2*k**2 - 138 = 0. Calculate k.
-2, 46
Suppose -b = 4*y + 2 - 16, 4*y - 2*b = -4. Let g(f) be the first derivative of 0*f**y - 5 - 1/10*f**4 + 0*f - 4/15*f**3. Factor g(u).
-2*u**2*(u + 2)/5
Suppose -5*h + 75 - 103 = -2*d, d = -3*h - 8. Factor 12/5*t**2 + 0 + 14/5*t**3 + 2/5*t**d + 0*t.
2*t**2*(t + 1)*(t + 6)/5
Let m(j) be the second derivative of -j**6/60 - 69*j**5/40 - 45*j**4/8 - 67*j**3/12 + 4*j. Factor m(b).
-b*(b + 1)**2*(b + 67)/2
Find i, given that -144/7*i + 624/7 - 3/7*i**2 = 0.
-52, 4
Suppose -1685 + 1755 = -14*n. Let s be 1/n*(-160)/128. Factor 5/4*o - 1/4*o**3 + 1/2 + 3/4*o**2 - s*o**4.
-(o - 2)*(o + 1)**3/4
Let d(g) be the third derivative of g**5/30 + 25*g**4/12 + 28*g**3 - 2252*g**2. Find z, given that d(z) = 0.
-21, -4
Let n(d) = d**2 + d + 2. Let i(c) = 13*c**2 - 5432*c + 2467967. Let l(h) = i(h) - 10*n(h). Factor l(q).
3*(q - 907)**2
Let w(r) = 19*r**2 - 3400*r - 177. Let n be w(179). Factor 1/5*z**n - 9/5*z - 2.
(z - 10)*(z + 1)/5
Find j, given that 105/2*j + 3/8*j**2 + 204 = 0.
-136, -4
Suppose 3*m + 2*q - 2 - 36 = 0, 0 = m - 5*q - 7. Let p = m - 6. Factor -3*c**2 + 6 - p*c + 0 + 0 + 9*c.
-3*(c - 2)*(c + 1)
Let q(x) be the first derivative of -x**5 - 65*x**4/4 + 75*x**3 - 235*x**2/2 + 80*x + 656. Factor q(r).
-5*(r - 1)**3*(r + 16)
Let k(t) = -5*t**4 - 1283*t**3 - 2587*t**2 - 1293*t - 4. Let g(b) = 7*b**4 + 1282*b**3 + 2588*b**2 + 1293*b + 5. Let q(w) = -4*g(w) - 5*k(w). Factor q(a).
-3*a*(a - 431)*(a + 1)**2
Let m(p) be the first derivative of 21*p**2 - 9/10*p**5 - 69/8*p**4 - 13*p**3 + 22 + 36*p. Suppose m(f) = 0. What is f?
-6, -2, -2/3, 1
Factor 175/4*u + 5/4*u**4 - 55/4*u**3 + 115/4*u**2 + 0.
5*u*(u - 7)*(u - 5)*(u + 1)/4
Let w(b) be the third derivative of -10*b**3 + 0*b - 1/4*b**5 - 1/24*b**6 + 0 - 111*b**2 + 10/3*b**4. Factor w(i).
-5*(i - 2)*(i - 1)*(i + 6)
Let 2/9*w**4 + 2/9*w**3 + 0 - 8/3*w**2 + 0*w = 0. What is w?
-4, 0, 3
Let y(u) = -18*u**2 + 3*u + 1. Let i(g) = -785*g**2 + 751*g + 6. Let x(h) = -3*i(h) + 6*y(h). Suppose x(m) = 0. What is m?
-4/749, 1
Let h(m) be the second derivative of 5*m**7/42 - 3*m**6/2 + 29*m**5/4 - 215*m**4/12 + 25*m**3 - 20*m**2 - m - 938. Suppose h(q) = 0. What is q?
1, 2, 4
Factor -826723 + 64059*s**2 + 2856*s - 64062*s**2 + 156821 - 9826.
-3*(s - 476)**2
Let m(r) = -r**3 - 9*r**2 - r + 107. Let h be m(-6). Let u(b) be the third derivative of -9*b**2 + 0*b + 0*b**4 + 1/10*b**3 - 1/100*b**h + 0. Factor u(i).
-3*(i - 1)*(i + 1)/5
Suppose 17*p - 1390 + 370 = 0. Suppose -p*h + 63*h - 6 = 0. Factor -9/4 + 9/4*v**h + 3/4*v**3 - 3/4*v.
3*(v - 1)*(v + 1)*(v + 3)/4
Let b(h) be the second derivative of -h**4/4 - 13*h**3 + 81*h**2/2 + 683*h + 3. Factor b(g).
-3*(g - 1)*(g + 27)
Let i be 2 + ((-18)/1890*10)/((-3)/171). Factor 100/7 + 424/7*m**2 - 340/7*m - 232/7*m**3 - 4/7*m**5 + i*m**4.
-4*(m - 5)**2*(m - 1)**3/7
Suppose 17*q**2 - 133*q**4 + 80*q + 85 - 12*q**4 + 0 - 277*q**2 + 10*q**5 - 410*q**3 = 0. Calculate q.
-1, 1/2, 17
Factor 56/5*i + 48/5*i**2 + 0 - 2/5*i**4 + 6/5*i**3.
-2*i*(i - 7)*(i + 2)**2/5
Let p(k) be the third derivative of -1/90*k**6 + 9/2*k**4 + k**2 + 3*k + 2/5*k**5 - 1/315*k**7 + 0 + 21*k**3. Determine w so that p(w) = 0.
-3, 7
Suppose -8*p - 67*p - 41 + 341 = 0. Let k(z) be the first derivative of 3*z**2 + 2/3*z**3 + p*z - 16. Factor k(c).
2*(c + 1)*(c + 2)
Let q(k) be the first derivative of -1/2*k**5 + 5/6*k**3 + 173 + 3/4*k**2 - 1/8*k**4 - 1/6*k**6 + 0*k. Suppose q(w) = 0. Calculate w.
-3/2, -1, 0, 1
Let h = -10527990235/1402 + 7509266. Let q = h + 2/701. Factor 1/2*k**4 - 1/2*k**2 + 1/2*k**3 + 0 - q*k.
k*(k - 1)*(k + 1)**2/2
Factor 3/5*z**2 + 0 + 123/5*z.
3*z*(z + 41)/5
Let h(p) be the first derivative of -1/6*p**6 + 0*p**3 + 0*p**2 + 1/5*p**5 + 0*p + 1/2*p**4 + 2. Solve h(c) = 0.
-1, 0, 2
Let m(a) = -29*a**2 + 145*a - 3635. Let h(l) = 9*l**2 - 50*l + 1212. Let t(k) = -13*h(k) - 4*m(k). Factor t(n).
-(n - 38)*(n - 32)
Let k = -3 + 176. Solve 2 - 168*d**2 - 2 + k*d**2 - 15*d = 0.
0, 3
Let o(d) be the third derivative of -d**5/210 + 103*d**4/84 + 10*d**3 - d**2 - 43. Determine n so that o(n) = 0.
-2, 105
Factor -51*h**3 + 122*h**5 - 39*h**3 + 15*h**4 - 117*h**5.
5*h**3*(h - 3)*(h + 6)
Let k(s) be the second derivative of s**5/20 - 22*s**4/3 - 955*s**3/6 - 1225*s**2 + 2*s - 1237. Factor k(a).
(a - 98)*(a + 5)**2
Let o(y) be the second derivative of 8*y**5/45 - 20*y**4/3 + 59*y**3/9 - 22*y**2/9 - 4*y + 125. Factor o(w).
2*(w - 22)*(4*w - 1)**2/9
Let x(d) be the third derivative of 247 + 0*d**3 + 0*d + 1/140*d**7 + 3/20*d**6 + 9/10*d**5 + 2*d**2 + 2*d**4. Factor x(p).
3*p*(p + 2)**2*(p + 8)/2
Let x be 156/(-9) - -3 - (-34)/2. Suppose 4/9*y**3 - 8/9*y**4 + x*y**2 - 28/9*y + 8/9 = 0. Calculate y.
-2, 1/2, 1
Let h(u) = u**2 - 128*u - 2793. Let l be h(-19). Factor l + 20/7*v - 2/7*v**3 - 6/7*v**2.
-2*v*(v - 2)*(v + 5)/7
Let i(t) be the first derivative of -t**3/3 - 21*t**2/2 + 46*t - 5576. Determine u, given that i(u) = 0.
-23, 2
Let c(z) be the third derivative of z**6/12 + 7*z**5/50 - 9*z**4/10 + 8*z**3/15 + 1529*z**2. Factor c(r).
2*(r - 1)*(r + 2)*(25*r - 4)/5
Let w(m) be the second derivative of 1/6*m**4 - 61*m + 1/3*m**3 + 0*m**2 + 0. Determine u, given that w(u) = 0.
-1, 0
Factor -8/3 + 22/9*n + 2/9*n**2.
2*(n - 1)*(n + 12)/9
Let q(k) = 13*k - 216. Let n be q(17). Suppose -23*y = -x - 19*y - 5, 5*x - n = 5*y. What is v in 0 - 1/3*v**4 - 9*v - 3*v**x - 9*v**2 = 0?
-3, 0
Let n be 6/15 + ((-1)/30)/(94/(-282)). Let o(m) be the third derivative of -n*m**3 - 1/20*m**5 + 0 - 11/48*m**4 + 0*m - 32*m**2 - 1/240*m**6. Factor o(f).
-(f + 1)*(f + 2)*(f + 3)/2
Let j(s) be the first derivative of -s**4/16 - 143*s**3/4 - 61347*s**2/8 - 2924207*s/4 - 2543. Factor j(f).
-(f + 143)**3/4
Let f(c) = c**4 + c**3 + 1. Let n be 6/2 - 0 - -2. Let y(g) = -4*g**3 + 2*g**5 + g**2 + g**4 + 0 + n*g**3 + g**2 + 3. Let o(s) = -3*f(s) + y(s). Factor o(q).
2*q**2*(q - 1)**2*(q + 1)
Let o(l) be the first derivative of 77*l**3 + 119 + 100*l + 121/8*l**4 + 135*l**2. Factor o(q).
(q + 2)*(11*q + 10)**2/2
Let c be (((-5)/7)/(2255/902))/((-4)/70). Factor -1/5*x**c + 0 - 27/5*x**3 - 27/5*x**2 + 0*x - 9/5*x**4.
-x**2*(x + 3)**3/5
What is v in -27