 7 + 1, -8 = -2*x. Let y be (26/(-39) - o/(-3))/(-3). Factor 0*c + y - 3/7*c**4 + 3/7*c**2 + 0*c**3.
-3*c**2*(c - 1)*(c + 1)/7
Let -2/7*z**5 + 16/7*z**4 + 0 - 30/7*z**3 + 32/7*z - 16/7*z**2 = 0. Calculate z.
-1, 0, 1, 4
Let s(g) be the second derivative of 2/9*g**3 + 3/10*g**5 - 7*g - 3 + 7/18*g**4 + 0*g**2 + 1/63*g**7 + 1/9*g**6. Factor s(w).
2*w*(w + 1)**3*(w + 2)/3
Let h(t) be the first derivative of -t**4/34 + 50*t**3/51 + t**2/17 - 50*t/17 - 936. What is p in h(p) = 0?
-1, 1, 25
Let j(s) be the third derivative of 1/24*s**4 + 0*s**3 - 3/100*s**5 + 1/1050*s**7 + 0*s + 0 - 71*s**2 + 1/200*s**6. Solve j(r) = 0 for r.
-5, 0, 1
Let r = 80 - 76. Suppose -r*f + 28 = -2*f + 5*i, i - 8 = -f. Suppose -7*g**4 - 25*g**2 + 16*g - 2*g**5 - f + 7*g**5 + 19*g**3 - 4*g**5 = 0. What is g?
1, 2
Let s(t) be the second derivative of t**4/3 - 166*t**3/3 + 2040*t**2 + t + 2919. Factor s(o).
4*(o - 68)*(o - 15)
Let w(h) be the third derivative of h**9/60480 - h**8/2016 + h**7/560 - 17*h**5/30 - 60*h**2. Let a(q) be the third derivative of w(q). Solve a(f) = 0.
0, 1, 9
Let t(j) be the second derivative of -j**8/26880 - 5*j**4/6 + j**2/2 + 5*j + 3. Let p(c) be the third derivative of t(c). Factor p(f).
-f**3/4
Factor -290 + 436/3*m**2 - 433/3*m - 1/3*m**3.
-(m - 435)*(m - 2)*(m + 1)/3
Let r(f) be the third derivative of 29*f**5/12 + 205*f**4/24 + 10*f**3 + 492*f**2 + 5. Suppose r(d) = 0. What is d?
-1, -12/29
Let n(k) be the second derivative of k**6/2340 - k**5/130 + 5*k**4/156 - k**3/2 + k + 27. Let o(x) be the second derivative of n(x). Factor o(y).
2*(y - 5)*(y - 1)/13
Solve 26/3*d**4 + 56/3*d**3 + 46/3*d**2 + 0 + 4/3*d**5 + 4*d = 0 for d.
-3, -2, -1, -1/2, 0
Let g(r) = 172*r**2 - 38*r - 234. Let j(c) = -5*c**2 + 3. Let b(z) = 2*g(z) + 68*j(z). Factor b(y).
4*(y - 22)*(y + 3)
Suppose 0 = 19*k - 94 - 134. Find p such that -k - 2*p - 9*p**3 + 8*p**3 + 15*p = 0.
-4, 1, 3
Let l = 408/13 + -310/13. Let w = -2796/5 + 36488/65. Determine n so that l + 2/13*n**2 + w*n = 0.
-7
Suppose 7*w + 26 - 166 = 0. Determine u, given that -10*u**2 - 93*u**3 - 15*u**4 + 78*u**3 + 10*u**5 + w*u**2 = 0.
-1, 0, 1/2, 2
Let r(j) be the second derivative of -j**4/42 + 24*j**3/7 - 1296*j**2/7 - 1636*j. Find h such that r(h) = 0.
36
Let o(c) be the second derivative of -c**7/63 + c**6/45 + c**5/2 + 23*c**4/18 + 10*c**3/9 + 4528*c. Suppose o(j) = 0. What is j?
-2, -1, 0, 5
Let d(y) be the first derivative of y**3/18 + 259*y**2/2 + 201243*y/2 + 4299. Factor d(j).
(j + 777)**2/6
Let v = 31 - 29. Suppose o - 9*o**v + 2*o**3 - 16 + 19*o**2 - o + 4*o = 0. What is o?
-4, -2, 1
Let k be -10 + (-4 - 72054/(-5229)). Let h = k - -42/83. Find p, given that -4/21 + 4/21*p**4 + 2/3*p - 20/21*p**3 + h*p**5 + 0*p**2 = 0.
-2, -1, 1/3, 1
Let a = -714681/5 + 142937. Suppose 32/5*g + 0 + a*g**2 = 0. What is g?
-8, 0
Let j(y) = 18*y**2 + 268*y - 318. Let m be j(-16). What is d in -1/3*d**3 - 16 - 11/3*d**m - 40/3*d = 0?
-4, -3
Find m, given that 6/5*m**2 - 8/5*m**3 - 7/5 + 1/5*m**4 + 8/5*m = 0.
-1, 1, 7
Suppose 0 = -60*g + 1199 + 1201. Let x = 8 + -5. Factor -7/2*i**4 - 48*i**2 - 22*i**x - 8 - g*i.
-(i + 2)**3*(7*i + 2)/2
Let h(c) = 3 + 1 + c**2 - 1 - 2. Let u(b) = -3*b**2 + 1 + 14*b - 4*b**3 + b**2 + 6*b + 5. Let k(j) = 6*h(j) + u(j). Find x such that k(x) = 0.
-1, 3
Solve 232*u + 13*u**2 + 21*u**2 - 18*u**2 + 15 + 41 - 4*u = 0.
-14, -1/4
Let g(j) = 5*j**3 + 1991*j**2 + 199988*j - 201977. Let b(t) = 5*t**3 + 1993*t**2 + 199989*t - 201981. Let m(s) = -7*b(s) + 6*g(s). Let m(n) = 0. What is n?
-201, 1
Factor 13253*s - 27166*s - 90*s**2 - 3500 + 12638*s + 5*s**3.
5*(s - 28)*(s + 5)**2
Let y be 2 + (-76)/37 + (-19)/((-108965)/20956). Factor 24/5*o - 8/5 - y*o**2 + 4/5*o**3.
2*(o - 2)**2*(2*o - 1)/5
Let v(n) be the third derivative of n**7/375 - n**6/50 + 43*n**5/750 - 2*n**4/25 + 4*n**3/75 + 231*n**2. Solve v(g) = 0.
2/7, 1, 2
Let v(t) be the third derivative of t**6/270 + 637*t**5/270 - 481*t**4/54 - 640*t**3/27 + 9*t**2 - 5*t + 2. Solve v(f) = 0.
-320, -1/2, 2
Let d(u) be the third derivative of -u**7/28 - 13*u**6/480 + u**5/80 - 601*u**2 + 1. Suppose d(w) = 0. Calculate w.
-3/5, 0, 1/6
Let v(w) be the third derivative of -11*w**5/45 - w**4/3 - w**3/18 - 4031*w**2. Factor v(m).
-(2*m + 1)*(22*m + 1)/3
Let p(h) be the second derivative of -h**7/105 + 7*h**6/60 - 7*h**5/30 - 5*h**4/4 + 309*h**2/2 - 70*h. Let k(u) be the first derivative of p(u). Factor k(v).
-2*v*(v - 5)*(v - 3)*(v + 1)
Factor 12675*c + 2064*c**3 + 744 - 8935*c**2 + 3066*c**2 - 2087*c**2 - 1889 - 192*c**4 - 5446.
-3*(c - 1)*(4*c - 13)**3
Let p(b) be the third derivative of b**5/30 + 7*b**4/3 - 55*b**3 + 6*b**2 + 53*b. Suppose p(g) = 0. What is g?
-33, 5
Let z = 895/6 - 1259/3. Let c = z + 271. Let c*q - 1/3*q**2 - 1/6 = 0. Calculate q.
1/2, 1
Let y(t) = -4*t**2 + 104*t + 106. Let f(o) = 29*o**2 - 727*o - 741. Let u(j) = 2*f(j) + 15*y(j). Find c such that u(c) = 0.
-1, 54
Let v(j) be the first derivative of -j**5/15 + 2*j**4 + j**3/9 - 4*j**2 - 354. Find u such that v(u) = 0.
-1, 0, 1, 24
Let m(w) = -40*w - 72. Let l be m(-3). Let r be (7/(-6))/((-24)/l). Determine x so that r*x + 1/6*x**2 + 0 = 0.
-14, 0
Let u(z) = 4*z**2 + 7*z. Let i(r) = 5*r**2 - 14*r + 80. Let x(v) = 3*i(v) - 3*u(v). Let x(s) = 0. Calculate s.
5, 16
Let h be (-16 - -20)*3/4. Let 3*q**4 + 24*q + 40*q**2 + 11*q**2 + 6*q**h + 3*q**3 + 21*q**3 = 0. What is q?
-8, -1, 0
Let r = 289343606/2170077 - 2/723359. Factor 4/3*t**2 + 110/3*t - r - 2/3*t**3.
-2*(t - 5)**2*(t + 8)/3
Suppose -17/7*q + 0*q**3 + 2*q**2 - 4/7*q**4 + 1/7*q**5 + 6/7 = 0. Calculate q.
-2, 1, 3
Find y such that 0*y + 1/5*y**3 - 108/5*y**2 + 0 = 0.
0, 108
Suppose 5*g - 13 = -3*b, -3*b + 12*g + 20 = 10*g. Suppose 5*h - 70*c - b = -71*c, 4*c + 6 = -5*h. Let h + 11*n + 25/4*n**3 + 35/2*n**2 = 0. Calculate n.
-2, -2/5
Let s be 1080/315*91/468. Factor 10 - s*l**3 - 14/3*l - 14/3*l**2.
-2*(l - 1)*(l + 3)*(l + 5)/3
Let s(h) be the second derivative of 3*h**6/50 - 141*h**5/100 + 36*h**4/5 - 74*h**3/5 + 72*h**2/5 - 3270*h. Let s(l) = 0. What is l?
2/3, 1, 2, 12
Let a(z) be the first derivative of -z**3/6 + 11*z**2/4 + 21*z - 127. Factor a(x).
-(x - 14)*(x + 3)/2
Let k(s) be the second derivative of 2*s**6/15 - 21*s**5/5 + 29*s**4 - 230*s**3/3 + 96*s**2 + s - 626. Factor k(f).
4*(f - 16)*(f - 3)*(f - 1)**2
Let l(b) = -b**3 + b**2 + 13*b - 4. Let t = 1007 - 1003. Let h be l(t). Determine d so that 3/4*d**4 + 27/4*d**2 + h*d + 9/2*d**3 + 0 = 0.
-3, 0
Let u(w) be the third derivative of 1/42*w**5 - 2/21*w**3 + 0 + 0*w + 5/84*w**4 - 1/245*w**7 - 1/84*w**6 + 2*w**2. Let u(b) = 0. Calculate b.
-2, -1, 1/3, 1
Let b = 339/2 - 168. Suppose -4*f = 2*f - 18. Determine d, given that f + b*d**2 + 9/2*d = 0.
-2, -1
Let p be 9/7 - 3198/(-861). Let s(z) be the second derivative of -5/6*z**4 + 0 + 11*z + 5*z**2 + 1/10*z**p - 1/3*z**3. Factor s(o).
2*(o - 5)*(o - 1)*(o + 1)
Let w(o) be the second derivative of -o**7/147 + 2*o**6/35 + 9*o**5/7 + 142*o**4/21 + 109*o**3/7 + 18*o**2 - 85*o + 9. Suppose w(n) = 0. Calculate n.
-3, -1, 14
Let c(t) be the second derivative of 7/36*t**4 + 0 - 4/3*t**2 + 29*t + 1/2*t**3 + 1/90*t**6 - 3/20*t**5. Suppose c(g) = 0. What is g?
-1, 1, 8
Suppose 0 = 2*a + 12, 283 - 283 = -3*k - a. Determine r, given that 2/5*r**3 - 4/5*r**k + 0 + 2/5*r = 0.
0, 1
Let l be ((-65)/(-117))/((-5)/(-45)). Let u(f) be the third derivative of 0*f + 0 + 121/60*f**l + 33*f**2 + 1/6*f**3 + 11/12*f**4. Factor u(g).
(11*g + 1)**2
Factor 1077/7*u - 306/7 - 3*u**2.
-3*(u - 51)*(7*u - 2)/7
Let h(a) be the second derivative of -9/20*a**5 - 86*a + 0 + 2/25*a**6 + 3/10*a**3 + 0*a**2 + 2/5*a**4. Find v, given that h(v) = 0.
-1/4, 0, 1, 3
Let p(w) be the third derivative of w**7/420 - 17*w**6/240 + 27*w**5/40 - 7*w**4/48 - 245*w**3/6 - 1681*w**2. Find x such that p(x) = 0.
-2, 5, 7
Suppose 2*i - 3*q = 23, -2*i + q + 29 = -0*q. Determine h, given that 9*h**2 - 43*h**2 - 52*h + 10*h**2 - i + 10*h**3 - 2*h**2 = 0.
-1, -2/5, 4
Let v(g) = -g**3 - 8*g**2 - 17*g - 26. Let m be v(-6). Let f be (8 - 189/(-18)) + -2. Let -9/2*s**m - 9/2 + f*s - 23*s**2 + 1/2*s**5 + 15*s**3 = 0. What is s?
1, 3
Suppose 0 = -64*p - 1643 + 1835. Factor 2/7*f**2 + 12/7*f - 2/7*f**p + 0.
-2*f*(f - 3)*(f + 2)/7
Let d = -5125 + 5127. Let n(o) be the third derivative of 1/140*