*a**3 + 3/2 - t*a + 3/4*a**4 + 27/4*a**2.
3*(a - 2)*(a - 1)**3/4
Let s be -2 + -4 + 18/1. Let b be 3/(-9)*(-232)/s - 6. Suppose b*v + 0 - 4/9*v**2 = 0. Calculate v.
0, 1
Let -1140576*z + 1308*z**2 - 1/2*z**3 + 331527424 = 0. What is z?
872
Suppose 634 = 5*h + 4*x, -3*h + 2*x = 7*x - 370. Factor -10*f + h + 178 + f**2 - 16 - 20*f - 67.
(f - 15)**2
Let v(w) be the first derivative of -119 - 13/10*w**3 + 2/25*w**5 - 17/10*w**2 - 1/10*w**4 - 4/5*w. Find s, given that v(s) = 0.
-2, -1/2, 4
Suppose -13 = b - 3*p, 5*p + 17 - 40 = 3*b. Let z(c) = c**2 + 28*c - 21. Let d(h) = h**2 + h. Let n(o) = b*z(o) + 4*d(o). Find u such that n(u) = 0.
1, 7
Let i = -3169/6311613 + -4/6853. Let n = i + 1853/10131. Factor -2/11*g**4 - 6/11*g + 0 - n*g**3 + 10/11*g**2.
-2*g*(g - 1)**2*(g + 3)/11
Let -14 + 3*m**4 - 41/4*m**3 + 19/2*m**2 + 9*m - 1/4*m**5 = 0. What is m?
-1, 2, 7
Let k(i) = -2*i**3 - 2*i**2 - 4*i + 2. Let j(p) = -p**2 + p - 1. Suppose 6*w + 5*w + 121 = 0. Let n be (1 + -5)*w/22. Let m(t) = n*j(t) + k(t). Factor m(q).
-2*q*(q + 1)**2
Factor 0*r + 38*r**2 + 0 + 1/2*r**4 + 20*r**3.
r**2*(r + 2)*(r + 38)/2
Let v(m) = 2*m**3 - 227*m**2 - 941*m - 2. Let b be v(-4). Solve 2/3*f**4 + 0 + 2/3*f + b*f**3 + 2*f**2 = 0.
-1, 0
Let q(v) be the first derivative of 9*v**5/20 - v**4 - 67*v**3/12 - 25*v**2/4 - 2*v + 7140. Find y, given that q(y) = 0.
-1, -2/9, 4
Find c such that -115 + 344/3*c + 1/3*c**2 = 0.
-345, 1
Let b(q) be the second derivative of -3*q**4/8 - 37*q**3/24 - q**2/4 + 23*q - 2. Determine v so that b(v) = 0.
-2, -1/18
Let w = -22 + 24. Suppose -w*a + 335 = -37. Factor 189*c**3 - 21*c**2 - 3*c - 6 + 27 - a*c**3.
3*(c - 7)*(c - 1)*(c + 1)
Let v(h) be the second derivative of 2*h**6/45 - 12*h**5/5 + 79*h**4/3 - 740*h**3/9 + 112*h**2 + 24*h. Solve v(w) = 0.
1, 6, 28
Let b(c) = -494*c**2 - 10 + 987*c**2 - 485*c**2. Let f(p) = p**2 + 3*p. Let u(v) = 3*b(v) - 3*f(v). Determine d, given that u(d) = 0.
-1, 10/7
Suppose 11*n - 162 + 341 = 212. Let r(q) be the third derivative of 0*q + 1/32*q**4 - 1/80*q**5 + 0 + 0*q**n + 7*q**2. Suppose r(f) = 0. What is f?
0, 1
Let t = 30 + 8. Let u = t + -34. Factor 3*n + n**u + 5*n**2 + 13*n - 4*n**3 - 18*n.
n*(n - 2)*(n - 1)**2
Let g(w) be the third derivative of -5/6*w**4 - 1/42*w**7 + 5/24*w**6 + 0*w + 7 + 20/3*w**3 - 1/2*w**5 + 5*w**2. Solve g(o) = 0.
-1, 2
Let n = -1534/217 - 545/124. Let l = n + 51/4. Factor 9/7*o**5 - 6/7*o + 0 - 3*o**4 + l*o**2 + 9/7*o**3.
3*o*(o - 1)**3*(3*o + 2)/7
Let o(i) = 6*i - 194. Let h be 7144/216 + 2/(-27). Let x be o(h). Let -x*k + 16/3*k**2 + 4*k**3 - 6 + 2/3*k**4 = 0. Calculate k.
-3, -1, 1
Let b(h) = -h**3 + 58*h**2 + 1133*h + 572. Let j be b(-15). Suppose -126/5*d**j - 36/5*d**3 - 63/5 - 156/5*d - 3/5*d**4 = 0. What is d?
-7, -3, -1
Let f(q) be the third derivative of q**5/12 - 8*q**2. Suppose 22 = -y + 16. Let s(v) = v**2 - v. Let k(h) = y*s(h) + f(h). Factor k(d).
-d*(d - 6)
Let v(g) = 1012*g**2 - 13*g + 9. Let s(d) = -3035*d**2 + 45*d - 30. Let b(z) = -3*s(z) - 10*v(z). Factor b(t).
-5*t*(203*t + 1)
Determine x so that -85*x**3 - 220*x**5 + 438*x**5 + 55*x**3 - 217*x**5 - 11*x**4 + 544*x**2 - 896*x = 0.
-7, 0, 2, 8
Solve -5219*b**5 - 84*b**4 - 500 + 584*b**2 + 2612*b**5 - 153*b**3 + 420*b + 2611*b**5 - 101*b**3 - 170*b**3 = 0.
-5, -1, 1, 25
Let h = -353 - -356. Suppose -19 = -h*f - k, 6 = 2*f - 3*k + 2*k. Factor -t**2 + 1/2*t**4 + t**3 + 1/2 - 1/2*t**f - 1/2*t.
-(t - 1)**3*(t + 1)**2/2
Factor -2/5*w**5 + 118/5*w**3 + 0 + 0*w - 56/5*w**4 - 12*w**2.
-2*w**2*(w - 1)**2*(w + 30)/5
Suppose -3607*r + 4779 + 2435 = 0. Find m such that 22/15*m**4 + 0*m + 8/15*m**r + 0 + 2/5*m**5 + 8/5*m**3 = 0.
-2, -1, -2/3, 0
Let i(h) = 8*h - 101. Let g be i(13). Solve 2*t**3 - 2*t + 12 - 8*t**2 - 5*t + 5*t**g - 4*t**3 = 0 for t.
-4/3, 1, 3
Let f(z) = z**2 + 3*z. Let j be f(-9). Factor -j*n**2 - 16 + 107*n**2 - 52*n**2 + 20*n + 116.
(n + 10)**2
Suppose 976 = -4*u - 4*k, -4*u - u + 3*k - 1228 = 0. Let d = u - -1226/5. Let d*f**4 + 0*f**2 + 1/5*f**5 + 0 + 0*f + 0*f**3 = 0. Calculate f.
-1, 0
Let p(y) be the third derivative of y**6/120 + 7*y**5/15 + 55*y**4/24 + 40*y**3/3 + 113*y**2. Let a be p(-26). Suppose -9/5*d + 3/5*d**a - 6 = 0. Calculate d.
-2, 5
Let u(j) be the first derivative of 289*j**4 - 272*j**3 + 72*j**2 + 969. Factor u(w).
4*w*(17*w - 6)**2
Let z = -180 + 182. Suppose 3*q**3 + 130*q**2 - 6*q - 255*q**2 + 122*q**z = 0. What is q?
-1, 0, 2
Let x(z) be the third derivative of 18*z**3 + 0*z - 1/5*z**5 + 0 + 1/30*z**6 - 3/2*z**4 + 7*z**2. What is v in x(v) = 0?
-3, 3
Let s(u) = -u**3 - 5*u**2 - 4*u + 2. Let r be s(-4). Let p be 788940/(-8019) - -99 - (-2)/18. Let 2/11*x**r - p*x + 6/11 = 0. What is x?
1, 3
Let g = 1723 + -671969/390. Let r(x) be the third derivative of 0*x + 0 + g*x**5 - x**2 - 1/78*x**4 - 1/13*x**3. Factor r(l).
2*(l - 3)*(l + 1)/13
Let i(d) be the third derivative of d**8/672 - 79*d**7/105 - 317*d**6/240 + 5*d**2 + 1079. Factor i(a).
a**3*(a - 317)*(a + 1)/2
Let a(b) = 2*b + b**2 + 8*b + 2 - 29*b + 9*b. Let w be a(10). Factor -14*o**2 + 0*o**3 + 22*o**2 - 3*o**3 - 11*o**w.
-3*o**2*(o + 1)
Let g(d) be the third derivative of -d**8/47040 + d**7/1176 + 19*d**5/20 - d**2 - 4. Let l(s) be the third derivative of g(s). Factor l(q).
-3*q*(q - 10)/7
Suppose 127 + 57 = 23*o. Suppose -v**3 + 7*v**4 + 39*v - 19*v - 60*v**2 - 2*v**3 + o*v**4 - 2*v**3 = 0. Calculate v.
-2, 0, 1/3, 2
Suppose 2*q = 4*m - 6*m + 38, -4*q = 5*m - 78. Suppose -2*a**3 + 2/3*a**5 + 2/3*a**m + 4/3*a - 2/3*a**4 + 0 = 0. What is a?
-1, 0, 1, 2
Let 3/2 - 247/4*u + 733/4*u**2 - 103*u**3 - 57*u**4 = 0. Calculate u.
-3, 1/38, 1/2, 2/3
Let q(a) be the third derivative of 8/21*a**3 - 1/420*a**6 + 1/35*a**5 + 0 - 294*a**2 - 1/7*a**4 + 0*a. Solve q(o) = 0 for o.
2
Let u = -1096904 + 1096906. Find t, given that 0 - 4/5*t**5 - 108/5*t**3 - 48/5*t**4 + 16/5*t**u + 144/5*t = 0.
-9, -2, 0, 1
Let k be 105612/(-432) - ((-60)/27 + 2). Let w = k + 245. What is y in w*y**2 + 1/4 - 3/4*y - 1/4*y**3 = 0?
1
Let k(i) be the second derivative of -i**6/60 + 83*i**5/40 - 27*i**4/4 + 42*i + 3. Factor k(s).
-s**2*(s - 81)*(s - 2)/2
Let m = 1407 + -1404. Let k(o) be the first derivative of -5*o**5 + 12 - 50*o**2 - 20*o - 55*o**m - 55/2*o**4. Solve k(y) = 0 for y.
-2, -1, -2/5
Factor 208/5*p**2 - 2*p**3 + 42/5*p + 0.
-2*p*(p - 21)*(5*p + 1)/5
Let l(s) = -2*s**4 + 45*s**2 - 169*s - 3. Let y(v) = 4*v**4 - 2*v**3 - 91*v**2 + 335*v + 5. Let z(x) = 5*l(x) + 3*y(x). Determine m, given that z(m) = 0.
-5, 0, 4
Let r(v) be the second derivative of 49*v**6/40 - 4767*v**5/80 + 3509*v**4/8 + 1101*v**3/2 + 243*v**2 + 27*v - 44. Find t such that r(t) = 0.
-2/7, 6, 27
Let y(x) = 15*x**2 + 68100*x - 13600100. Let f(o) = -o**2 - 4006*o + 800006. Let l(v) = -50*f(v) - 3*y(v). Factor l(b).
5*(b - 400)**2
Find p, given that -4 + 77*p**3 - 6191*p + 6431*p - 72*p**3 - 130*p**2 + 4 = 0.
0, 2, 24
Let k(t) be the third derivative of -t**5/270 - 337*t**4/108 - 112*t**3/9 - 454*t**2 + t - 3. Factor k(m).
-2*(m + 1)*(m + 336)/9
Let y be (2/(-29))/(68/(-1479)). Determine v so that -3/8*v**2 + 15/8 + y*v = 0.
-1, 5
Let j(n) be the first derivative of -169*n**6/6 + 3367*n**5/5 - 21187*n**4/4 + 45049*n**3/3 - 19580*n**2 + 12100*n + 897. Suppose j(m) = 0. Calculate m.
1, 110/13
Let k(l) be the second derivative of l**4/3 - 176*l**3 - 6646*l. Let k(b) = 0. What is b?
0, 264
Let p be 68/16*4 + 5. Let o(g) = 16*g**2 + 4*g - 1. Let i(l) = -l - 3*l - 3*l**2 + 2*l + l. Let f(z) = p*i(z) + 4*o(z). Factor f(q).
-2*(q + 1)*(q + 2)
Find o such that 2/13*o**2 - 1020/13*o + 130050/13 = 0.
255
Let i = 15197/1200 + 1/400. Let j(l) be the second derivative of -3/5*l**5 + 2/3*l**4 + 12*l**2 + 13*l + i*l**3 + 0. Factor j(a).
-4*(a - 3)*(a + 2)*(3*a + 1)
Let r be 12192/32512 - (1 - 10/16). Determine n so that 2/9*n + 13/9*n**2 + 16/9*n**3 + r + 5/9*n**4 = 0.
-2, -1, -1/5, 0
Let w be (31062/(-434) - -71) + (-3 - (-43)/7). Factor 24/7 + w*t - 9/7*t**2 - 3/7*t**3.
-3*(t - 2)*(t + 1)*(t + 4)/7
Let l(j) = 693*j + 23564. Let d be l(-34). What is f in -1/2*f**d - 1/3 - 7/6*f = 0?
-2, -1/3
Let q(h) be the second derivative of -h**6/30 - h**5/10 + 4*h**4 + 49*h**3/3 + 49*h**2/2 - 803*h. Find o, given that q(o) = 0.
-7, -1, 7
Let r(m) be the first derivative of m**6/12 + 11*m**5/10 - 57*m**4/8 + 49*m**3/6 +