. Suppose 40 = -93*o + t*o. Solve -59/2*s**3 + 4/3 - o*s - 5/2*s**5 + 43/3*s**4 + 79/3*s**2 = 0 for s.
1/3, 2/5, 1, 2
Suppose -v + 6 = -f, -3 = -2*v + 4*f + 13. Let y(r) be the third derivative of 0*r + 12*r**2 + 0 + 0*r**v - 2/9*r**3 + 1/60*r**5 + 1/360*r**6. Factor y(z).
(z - 1)*(z + 2)**2/3
Let z be (-985)/(-30)*(-17 + 3204/180). Suppose -22/5 + z*m - 6/5*m**3 - 194/5*m**2 = 0. Calculate m.
-33, 1/3
Suppose -6*x - 5*x + 39 = -8*x + 5*s, 4*x - 2*s = 0. What is m in -25/2*m**x - 72*m + 32 + 105/2*m**2 = 0?
1, 8/5
Let o(u) be the first derivative of -u**4/10 + 16*u**3/3 - 113*u**2/5 + 148*u/5 + 8845. Factor o(h).
-2*(h - 37)*(h - 2)*(h - 1)/5
Let z = -6/73 + 176/365. Let b(y) be the first derivative of -1/10*y**4 + 0*y**2 - 2/15*y**3 - 10 + z*y**5 + 0*y - 1/5*y**6. Factor b(j).
-2*j**2*(j - 1)**2*(3*j + 1)/5
Let m be -166 - -161 - (-7 + 5 + (-6)/2). Solve s**4 + 0 + 1/2*s**2 + m*s - 3/2*s**3 = 0.
0, 1/2, 1
Let u(l) be the second derivative of -4*l**7/189 - 497*l**6/135 - 4*l**5/3 + 497*l**4/54 + 124*l**3/27 - 2868*l. Determine i, given that u(i) = 0.
-124, -1, -1/4, 0, 1
Let p = -31 + 32. Let w be p + 10/(-8) - 74/(-8). Let 6 - 11*x**3 + 0*x - 10*x**3 - 9*x**2 - 9*x**4 + w*x = 0. What is x?
-1, 2/3
Let k(t) be the second derivative of -t**5/40 + 11*t**4/6 - 37*t**3/12 - 129*t**2/2 - 223*t + 8. Find m such that k(m) = 0.
-2, 3, 43
Let g(o) be the second derivative of -5/9*o**4 + o**3 + 63 + 1/30*o**5 + o + 0*o**2. Determine l so that g(l) = 0.
0, 1, 9
Let -2/7*i**2 + 96/7 - 26/7*i = 0. Calculate i.
-16, 3
Factor 0 + 13224/5*u**3 + 0*u + 1/5*u**5 - 12996/5*u**2 - 229/5*u**4.
u**2*(u - 114)**2*(u - 1)/5
Let o(k) = -12*k - 112. Let a be o(-12). Factor 115*y**3 - 27*y**2 - 125*y**3 + a*y**2.
-5*y**2*(2*y - 1)
Let m(h) be the first derivative of h**5/20 - h**4/4 - 12*h**3 - 69*h**2 - 251. Let t(q) be the second derivative of m(q). Factor t(p).
3*(p - 6)*(p + 4)
Let c(j) = 14*j**5 + 20*j**4 + 14*j**3 - 68*j**2 - 58*j - 12. Let g(l) = -l**5 - l**3 - 3*l - 2. Let a(y) = c(y) + 10*g(y). Determine s, given that a(s) = 0.
-4, -1, 2
Let l(q) = 857*q**3 + 4*q**2 - 2. Let t be l(1). Suppose 847*j = t*j - 36. Find p such that -j - 9*p**4 - 21*p**3 - 24*p**2 - 3/2*p**5 - 27/2*p = 0.
-2, -1
Let d(p) be the third derivative of 102*p**2 - 26*p**4 - 16/35*p**7 - 3/5*p**5 - 32*p**3 + 3/112*p**8 + 97/40*p**6 + 0 + 0*p. Factor d(h).
3*(h - 4)**3*(h + 1)*(3*h + 1)
Let o(a) be the third derivative of a**7/630 + a**6/40 + 23*a**5/180 + 5*a**4/24 - 2*a**2 - 225. Solve o(l) = 0 for l.
-5, -3, -1, 0
Let r(g) = 5 - 9 - 6*g + 7 + 32*g**2. Let n be r(2). Solve -12 - 76*f + 28*f**3 - 62*f**2 + n*f**3 + 4*f - f**2 = 0 for f.
-2/7, 1
Let r(n) be the second derivative of 11*n**5/5 - 25*n**4/3 - 164*n**3/3 + 48*n**2 + 3*n + 222. Factor r(d).
4*(d - 4)*(d + 2)*(11*d - 3)
Let j = -254 - -256. Factor -4*b**3 - 15*b**j + 4*b**4 + 5*b**2 - 2*b**2 - 4*b**3.
4*b**2*(b - 3)*(b + 1)
Suppose -g + p + 3 = 0, -17*p - 6 = -2*g - 20*p. Determine a, given that 12 + 190*a**2 - 12 - 152*a**g + 52*a**3 - 15*a**5 - 40*a - 145*a**3 + 110*a**4 = 0.
0, 1/3, 1, 2, 4
Let y(d) be the first derivative of -d**6/840 - 9*d**5/280 - d**4/4 - 3*d**3 - d**2 - 37. Let k(g) be the third derivative of y(g). Factor k(f).
-3*(f + 2)*(f + 7)/7
Let q(n) be the first derivative of n**3/3 - 5*n**2/2 - 3*n - 9. Let w be q(6). Factor -2*s - 55*s**2 + 25*s**3 + 40*s**w - 8*s.
5*s*(s - 1)*(13*s + 2)
Let w(p) be the first derivative of 2*p**6/15 - 6128*p**5/25 + 588286*p**4/5 - 312528*p**3 + 234090*p**2 + 5676. Determine q, given that w(q) = 0.
0, 1, 765
Let a(i) be the second derivative of i**4/42 - 207*i**3/7 - 622*i**2/7 - 3*i - 1053. Factor a(m).
2*(m - 622)*(m + 1)/7
Let n be 5 + 0 + (-11 + 2)/3. What is v in -40*v**2 + n*v**3 + 72*v + 75*v + 39*v - 252 = 0?
3, 14
Let n(j) = j**3 + 37*j**2 - 62*j + 627. Let c be n(-39). Let g be 3*-1*(-2)/2. Solve c - g - 6*h**4 + 4*h**3 + 8*h**2 + 2*h**4 = 0.
-1, 0, 2
Let v be 4*(-21 + (-1479)/(-68)). Let t(y) be the first derivative of -2/21*y**v + 2/7*y**2 - 15 + 6/7*y. Suppose t(q) = 0. What is q?
-1, 3
Suppose -2*w = 4*a + 10, 3*a - 5*w = -2*w + 15. Let j be 0/(-17 + 9) + 1/2. Factor -3/4*o**3 - 1/8*o**5 - 1/2*o**4 - j*o**2 - 1/8*o + a.
-o*(o + 1)**4/8
Let y(a) = -56 - 367*a + 21 + 60*a**3 + 332*a - 60*a**2. Let o(j) = 5*j**3 - 5*j**2 - 3*j - 3. Let n(k) = 35*o(k) - 3*y(k). Factor n(i).
-5*i**2*(i - 1)
Find u, given that 446*u**2 - 2083 - 3758*u**2 - 1936 - 1106*u + 3896 + 27*u**4 - 3294*u**3 = 0.
-1/3, 123
Determine v, given that 212 - 101/2*v**3 - 1/2*v**4 + 261*v**2 - 422*v = 0.
-106, 1, 2
Let x(n) be the first derivative of n**3/9 - 3*n**2/2 + 20*n/3 + 383. Factor x(j).
(j - 5)*(j - 4)/3
Let d(q) be the second derivative of q**7/12600 - q**5/600 - 7*q**4/4 - q**2 - 188*q. Let z(v) be the third derivative of d(v). Factor z(b).
(b - 1)*(b + 1)/5
Let q(p) = 4*p + 3. Let a be q(-1). Let d be (-12)/(a*(-15)/(-10)). Determine j so that 5 + 4*j**2 - d*j + 2 - 3 = 0.
1
Let k(a) be the third derivative of 0 + 0*a**3 - 1/120*a**5 + 132*a**2 + 0*a - 7/24*a**4. Find w, given that k(w) = 0.
-14, 0
Let q be (2 + -9)*4/(-14). Factor 1194 + 150*a - 41*a**2 + 665 + 16 + 44*a**q.
3*(a + 25)**2
Let b(w) be the third derivative of -w**6/120 - w**5/20 + 4*w**4/3 + 113*w**3/6 - 2*w**2 + 27*w. Let j be b(-5). Factor 3*z - 5/2*z**2 + 0 + 1/2*z**j.
z*(z - 3)*(z - 2)/2
Let w(f) be the second derivative of f**6/330 - 7*f**5/220 + f**4/22 + 16*f**3/33 - 16*f**2/11 + 21*f - 25. Suppose w(g) = 0. What is g?
-2, 1, 4
Let h(y) = 950*y**5 - 1416*y**4 - 11*y**3 + 6*y - 2. Let j(d) = 12351*d**5 - 18408*d**4 - 144*d**3 + 81*d - 27. Let n(i) = 27*h(i) - 2*j(i). Solve n(o) = 0.
-1/158, 0, 3/2
Let w(f) be the first derivative of -4/3*f**3 - 5/2*f**4 + 0*f**2 - 8/5*f**5 + 54 - 1/3*f**6 + 0*f. Find v, given that w(v) = 0.
-2, -1, 0
Let x(i) be the first derivative of -i**4/26 - 10*i**3/3 + 133*i**2/13 - 134*i/13 + 974. What is a in x(a) = 0?
-67, 1
Let c(w) be the third derivative of -w**6/30 + 4*w**5/5 - 10*w**4/3 - 2718*w**2. Let c(y) = 0. What is y?
0, 2, 10
Let n(s) be the first derivative of -s**4/2 + 56*s**3/3 + 59*s**2 + 60*s + 8594. Let n(k) = 0. What is k?
-1, 30
Solve 16/7 + 390/7*j - 58*j**2 = 0.
-8/203, 1
Let k(q) = 37*q**4 - 79*q**3 + 4*q**2 + 349*q + 240. Let f(l) = -50*l**4 + 105*l**3 - 5*l**2 - 465*l - 320. Let v(x) = -11*f(x) - 15*k(x). Factor v(d).
-5*(d - 4)**2*(d + 1)**2
Let m = -151 + 161. Suppose 5*b - 20 = 2*d + m, -3*b + d + 17 = 0. Factor -172*q + 72*q - 26*q**b - 44*q**3 + 140*q**2 + 13*q**4 + 17*q**4.
4*q*(q - 5)**2*(q - 1)
Find w such that 22472/13 - 4770/13*w - 2/13*w**3 - 204/13*w**2 = 0.
-53, 4
Let m(l) be the first derivative of -l**4/72 + l**3/36 + l**2/6 + 2*l + 12. Let k(g) be the first derivative of m(g). Solve k(v) = 0.
-1, 2
Let a = 107262 + -214485/2. Factor -3/8*n**2 - a*n - 507/2.
-3*(n + 26)**2/8
Let j = 1176 + -1177. Let m be 72/(-16) + 5 - j. Solve -3/2*k**2 + 3/2 - m*k + 3/2*k**3 = 0 for k.
-1, 1
Let c be (-9)/(16/80 - 6/5). Let x(w) be the first derivative of 0*w**2 - 2*w**4 - c - 8/3*w**3 - 2/5*w**5 + 0*w. Factor x(z).
-2*z**2*(z + 2)**2
Factor -48964*n**3 - 35608338*n**2 - 919286*n**3 + 529847 - 4414934 - 8847*n**4 - 27*n**5 - 23417451*n.
-3*(n + 109)**3*(3*n + 1)**2
Let p(f) be the third derivative of f**5/150 - 2111*f**4/30 + 4456321*f**3/15 + f**2 + 22*f - 9. Solve p(s) = 0.
2111
Let n(y) = 3*y**3 - 3*y**2 - 7*y - 3. Let q(g) = -16*g**3 + 15*g**2 + 34*g + 14. Suppose 8*r + 119 = 31. Let w(j) = r*n(j) - 2*q(j). Let w(t) = 0. Calculate t.
-1, 5
Let m = 217937/290584 - -1/290584. Let -m*a**2 + 0 - 9*a = 0. Calculate a.
-12, 0
Let p(f) be the third derivative of f**7/140 + 9*f**6/80 + f**5/20 - 3*f**4 + 2338*f**2. Factor p(j).
3*j*(j - 2)*(j + 3)*(j + 8)/2
Let s(d) be the first derivative of d**5/20 + d**4/12 - d**3/3 + 43*d + 11. Let g(o) be the first derivative of s(o). What is y in g(y) = 0?
-2, 0, 1
Let w(x) be the third derivative of -1/30*x**6 + 0 + 22/3*x**3 + 17*x**2 + 0*x - 23/6*x**4 + 13/15*x**5. Suppose w(t) = 0. Calculate t.
1, 11
Let b be (8 - -9) + -10 - 7. Let n(d) be the third derivative of 0*d**4 + b - 1/12*d**5 + 5/6*d**3 + 0*d + 3*d**2. Solve n(a) = 0 for a.
-1, 1
Factor 4969*h - 200*h + 5502005 + 5*h**2 + 705*h - 399*h + 5415*h.
5*(h + 1049)**2
Let