-350*u + 349*u - 33. Factor -4*v + 1/4*v**2 + u.
v*(v - 16)/4
Let o(a) be the first derivative of -63 + 0*a - 2/15*a**3 + 2*a**2. Factor o(s).
-2*s*(s - 10)/5
Suppose 1/3*h**3 + 2015/3*h**2 + 671 + 4027/3*h = 0. Calculate h.
-2013, -1
Suppose -10*x - 390 = -15*x. Let i = 80 - x. Suppose 5/2 - 2*n - 1/2*n**i = 0. What is n?
-5, 1
Suppose 175*r = 182*r - 63. Suppose -r*f + 36*f = 0. Determine w so that f + 1/6*w - 5/6*w**2 = 0.
0, 1/5
Let c(j) = 14*j + 141. Let w be c(-10). Find v such that -16*v**2 - w + 25 - 4*v**4 + 24*v**3 - 24*v - 4 = 0.
-1, 1, 5
Let o(g) = -3*g + 6. Let x be o(-8). Factor -x*h**5 - 36*h**5 + 70*h**5 + 8*h**2 - 8*h**4 - 4*h.
4*h*(h - 1)**3*(h + 1)
Let h(r) be the first derivative of -r**5 + 55*r**4/4 - 140*r**3/3 + 1171. Factor h(f).
-5*f**2*(f - 7)*(f - 4)
Let n(b) be the second derivative of 3*b - 10*b**3 + 1/3*b**4 + 28*b**2 + 4. Factor n(f).
4*(f - 14)*(f - 1)
Factor -12 + 2219/3*p**2 + 2216*p + 185/3*p**3.
(p + 6)**2*(185*p - 1)/3
Let q(w) be the first derivative of 0*w + 5/6*w**3 - 156 - 1/8*w**4 - w**2. Factor q(u).
-u*(u - 4)*(u - 1)/2
Let l = 234 + -243. Let p be (14/(-56))/(l/6). Solve 1/3*z**4 + 1/6*z**3 + 0 - p*z**5 - 1/3*z**2 + 0*z = 0.
-1, 0, 1, 2
Let p be (-14)/(-12)*(-10)/8*2992/(-19635). Solve 4*s + 18 + p*s**2 = 0 for s.
-9
Let y(a) be the first derivative of 1/180*a**6 + 1/36*a**3 - 7/360*a**5 + 1/72*a**4 + 0*a + 35 + 3*a**2. Let v(h) be the second derivative of y(h). Factor v(i).
(i - 1)**2*(4*i + 1)/6
Let j = 12071 + -12065. Let s(b) be the third derivative of 1/6*b**4 + 2/15*b**5 + 0 + 0*b - 4*b**2 + 0*b**3 + 1/30*b**j. Factor s(g).
4*g*(g + 1)**2
Let r be (-22)/(-48) - (-3)/(-9). Let j = 442417 - 442415. Factor -r*g**3 + 0 + 0*g + 0*g**j.
-g**3/8
Let s(q) be the first derivative of -q**6/1620 + q**4/27 + 7*q**3/3 - q**2/2 + 29. Let i(u) be the third derivative of s(u). Factor i(t).
-2*(t - 2)*(t + 2)/9
What is i in -8*i**3 - i**3 + 0*i**3 - 12*i**3 - 24*i**4 - 16*i**2 - 4*i**5 - 15*i**3 = 0?
-4, -1, 0
Let d be (20/2)/(93 + (-2184)/24). Find k such that 0*k + 0 + 1/3*k**d + 0*k**2 + 5/3*k**4 + 4/3*k**3 = 0.
-4, -1, 0
Factor 202248/7 + 1272/7*c + 2/7*c**2.
2*(c + 318)**2/7
Let j(q) be the first derivative of -q**5/210 + q**3/21 + 13*q**2/2 - 2*q + 9. Let l(a) be the second derivative of j(a). Factor l(y).
-2*(y - 1)*(y + 1)/7
Let w(v) be the first derivative of 3*v**5/10 + 3*v**4/2 + 3*v**3/2 - 3*v**2 - 6*v + 6513. Solve w(i) = 0.
-2, -1, 1
Let x(q) be the third derivative of 3*q**2 + 0*q**3 + 6 + 0*q**4 + 0*q + 1/30*q**6 - 1/15*q**5. Suppose x(u) = 0. Calculate u.
0, 1
Let p(k) be the first derivative of -1/3*k**3 + 0*k + 2 - 1/360*k**6 - 1/6*k**4 - 1/30*k**5 + 0*k**2. Let r(f) be the third derivative of p(f). Factor r(a).
-(a + 2)**2
Solve -258*r**5 + 134*r**3 + 131*r**5 + 288 + 128*r**5 + 19*r**4 + 428*r**2 + 600*r = 0.
-6, -4, -2, -1
Let x(t) be the first derivative of -t**5/40 + t**4/24 + t**3/2 + 195*t + 93. Let b(z) be the first derivative of x(z). Let b(r) = 0. What is r?
-2, 0, 3
Suppose 75*k - 66*k = 0. Factor -6*a**3 + 15*a**2 + k*a**2 + 4*a**4 - 18*a**4 + 11*a**4 + 18*a.
-3*a*(a - 2)*(a + 1)*(a + 3)
Let t(d) be the third derivative of d**5/90 + 70*d**4/9 - 1136*d**3/9 - 9*d**2 - 29*d - 1. Factor t(p).
2*(p - 4)*(p + 284)/3
Let q(a) be the third derivative of -a**8/13440 + a**6/480 - a**5/120 + a**4/12 - 3*a**3/2 - 5*a**2 - 1. Let f(k) be the second derivative of q(k). Factor f(r).
-(r - 1)**2*(r + 2)/2
Let u(z) be the second derivative of -z**7/252 + 53*z**6/180 + 71*z**5/30 + 44*z**4/9 - 56*z**3/9 - 116*z**2/3 - 4111*z. Factor u(g).
-(g - 58)*(g - 1)*(g + 2)**3/6
Suppose -726*t**2 + 723*t**2 + 86*t - 1872 - 344*t = 0. What is t?
-78, -8
Suppose u - 28 = 2*o, -2*u - 94*o + 30 = -96*o. Factor 1/4*l**u + 16 - 4*l.
(l - 8)**2/4
Let t(g) = 9*g**2 - 24*g + 76. Let o(f) = 8*f**2 - 28*f + 80. Let u(s) = 5*o(s) - 4*t(s). Solve u(z) = 0.
3, 8
Let h = 10/20619 - -9154/20619. Factor -h*i - 4/9*i**3 + 0 + 10/9*i**2.
-2*i*(i - 2)*(2*i - 1)/9
Let o(s) be the first derivative of -12*s**5 - 95*s**4/4 + 20*s**3 + 10*s**2 + 2312. Determine r so that o(r) = 0.
-2, -1/4, 0, 2/3
Let l(q) be the first derivative of -q**4 - 64*q**3/3 - 40*q**2 + 1600*q - 410. Factor l(y).
-4*(y - 4)*(y + 10)**2
Solve -6*p**2 - 59*p + 130*p**2 + 23*p - 40*p**2 + 3*p**5 - 11*p**3 - 46*p**3 + 6*p**4 = 0 for p.
-6, 0, 1, 2
Let u(l) = 8*l**2 + 4*l - 28. Let h(q) = 124. Let f(z) = -289. Let n(k) = 3*f(k) + 7*h(k). Let b be (-1)/4 + 9/(-12). Let m(j) = b*u(j) - 24*n(j). Factor m(p).
-4*(p + 1)*(2*p - 1)
Let l be 2 + -14 + (-140)/(-130)*13. Suppose -18/7*c - 3 + 3/7*c**l = 0. What is c?
-1, 7
Let u(q) be the third derivative of -2/15*q**5 + 54*q**2 + 0*q + 20/3*q**3 + 0 - 19/6*q**4. Factor u(a).
-4*(a + 10)*(2*a - 1)
Let w(d) be the second derivative of d**6/840 - d**5/280 - d**4/28 + 23*d**3/2 - d - 7. Let q(p) be the second derivative of w(p). Factor q(o).
3*(o - 2)*(o + 1)/7
Let m(j) = 2*j + 16. Let p(g) = g**3 - g**2 - 2*g - 5. Let u be p(0). Let b be m(u). Let -b*c**4 + c**4 - 5*c**4 - 2*c**3 = 0. Calculate c.
-1/5, 0
Let b(u) be the first derivative of 4*u**3/9 + 94*u**2/3 - 392*u/3 + 1617. Determine g, given that b(g) = 0.
-49, 2
Let h be (-628)/34854 - (-600180)/43290. Suppose -4*x = 5*f - 13, 4*x - 4*f - 4 + 0 = 0. Solve -432/13 - 216/13*s + 2/13*s**4 + h*s**x - 34/13*s**3 = 0.
-1, 6
Suppose -22*b - 9*b + 5828 = 0. Factor -13*w**2 + 6*w**3 - b + 12*w + 371 - w**4 - 187.
-(w - 2)**2*(w - 1)**2
Let p(g) = g**2 + 11*g + 32. Let i be p(-4). Factor r + 0*r**2 - 2*r**4 + i*r**2 + 88*r**5 - 2*r**2 - 89*r**5.
-r*(r - 1)*(r + 1)**3
Let j = 3221 + -3219. Let m(t) be the third derivative of 0 + 1/15*t**5 + 0*t**3 + 3*t**j + 0*t - 1/6*t**4. Solve m(v) = 0.
0, 1
Let q(m) be the second derivative of 0*m**2 + 0 + 0*m**3 - 1/378*m**7 + 124*m + 0*m**6 + 1/180*m**5 + 0*m**4. Factor q(h).
-h**3*(h - 1)*(h + 1)/9
Let p(w) = 65*w - 187*w + 63*w + 85 + 45 + 68*w. Let u be p(-14). Let 25/2*a**u - 34*a - 6 - 111/2*a**2 - 15*a**3 = 0. Calculate a.
-1, -2/5, 3
Find t such that 40/11*t**2 + 64/11 - 14/11*t**4 - 112/11*t + 2/11*t**5 + 20/11*t**3 = 0.
-2, 1, 2, 4
Let m(r) be the first derivative of 3174/5*r**2 - 42 + 92/5*r**3 + 48668/5*r + 1/5*r**4. Determine i so that m(i) = 0.
-23
Let q(o) be the first derivative of -o**6/39 + 8*o**5/13 + 15*o**4/26 - 2420*o**3/39 - 2380*o**2/13 - 2352*o/13 + 152. What is r in q(r) = 0?
-6, -1, 14
Let y(b) be the second derivative of -b**5/8 + 25*b**4/24 + 145*b**3/6 + 110*b**2 + 6037*b. Factor y(i).
-5*(i - 11)*(i + 2)*(i + 4)/2
Suppose 4*r + 53*t = 55*t + 12, t = 0. Factor -1/3*z**r - 2/3*z**2 + 0 + 0*z.
-z**2*(z + 2)/3
Let i(v) be the second derivative of -3*v**5/70 + 251*v**4/7 + 3039*v**3/7 + 13716*v**2/7 + 4*v + 32. Find t, given that i(t) = 0.
-3, 508
Let z be (1 + 0 + -5)*(-4)/16. Let r be (z/4)/((-2)/(-24)). Let 107*b**2 + 24*b - 95*b**2 + 3*b**3 + 16 - b**r = 0. What is b?
-2
Let c(p) be the second derivative of 5/2*p**3 + 5/3*p**4 - 1/4*p**5 - 42*p - 45*p**2 + 0. Find a such that c(a) = 0.
-2, 3
Let z(t) = -t**2 - 2. Let x(n) be the first derivative of 2*n**3/3 - 26*n**2 - 670*n + 214. Let p(u) = -x(u) - 3*z(u). Suppose p(d) = 0. Calculate d.
-26
Factor 24*b**2 - 1053544*b**3 + 31 - 157 + 3*b + 1053547*b**3.
3*(b - 2)*(b + 3)*(b + 7)
Let n(h) = h**3 - h**2 - h + 1. Let p(i) = -i**3 + 5*i**2 - 7*i + 3. Let q(r) = -5*r - 28. Let j be q(-5). Let x(d) = j*n(d) + p(d). Factor x(v).
-4*v*(v - 1)**2
Suppose -5*a - k + 21 = 2*k, 2*k + 11 = 5*a. Factor 6*f**2 - 4 + 0 - 6*f**2 + 3*f**2 - f**a.
-(f - 2)**2*(f + 1)
Let y(f) = -5*f**2 + 305*f + 952. Let x(b) = 5*b**2 - 305*b - 954. Let z(c) = 4*x(c) + 3*y(c). Solve z(r) = 0.
-3, 64
Factor 4/5 - 2/3*w - 22/15*w**2.
-2*(w + 1)*(11*w - 6)/15
Let t be ((-21)/(-252)*12)/((-8)/(-2)). Let g = 30 - 27. Find c such that -c**2 + 0 - t*c**g - c = 0.
-2, 0
Let o(c) = -5*c**2 + 18*c. Let f(s) = 5*s**2 - 48*s + 18*s + 18*s - s**2. Let w(g) = -7*f(g) - 5*o(g). Find y, given that w(y) = 0.
-2, 0
Let x(t) be the third derivative of 5*t**8/48 - 1115*t**7/42 - 401*t**6/12 + 80*t**5/3 + 3130*t**2. Let x(n) = 0. What is n?
-1, 0, 2/7, 160
Suppose -z + 125 = 5*y, -4*z - 13 = -3*y + 39. Suppose -y*j + 49 + 23 = 0. Factor 0*x - 2/13*x**5 + 0 - 2/13*x**2 - 6/13*x**j - 6/13*x**4.
-2*x**2*(x + 1