*(u - 3)*(u + 1)*(u + 3)/7
Let y(z) be the second derivative of -z**4/3 - 9*z**3 - 97*z**2 - 2*z + 24. Let r(l) = -4*l**2 - 53*l - 193. Let i(k) = -2*r(k) + 3*y(k). Factor i(s).
-4*(s + 7)**2
Find v such that -2 + 700*v - 80*v + 2 - 230*v + 5*v**2 = 0.
-78, 0
Determine m, given that -13 + 102*m - 75 - 3*m**2 - 11 = 0.
1, 33
Let a be (8360/(-42636))/((-5)/34). Determine v so that -10/9 - a*v - 2/9*v**2 = 0.
-5, -1
Suppose -m = -6*t + 11*t - 607, t + 3*m - 127 = 0. Let c = -593/5 + t. Factor 4/5*h**4 - 4/5*h + 0 + c*h**2 - 12/5*h**3.
4*h*(h - 1)**3/5
Let d(c) be the third derivative of -15*c**2 + 0 + 1/120*c**5 + 1/16*c**4 - 1/720*c**6 + 0*c + 2*c**3. Let i(v) be the first derivative of d(v). Factor i(x).
-(x - 3)*(x + 1)/2
Factor 1696*x - 416*x**2 - 864 + 376*x**2 + 53216*x**3 - 1192*x**2 - 52832*x**3 - 2*x**5 - 38*x**4.
-2*(x - 2)**4*(x + 27)
Let z = 897 - 455. Find q such that 3*q**3 + 1156 + 324*q**2 + z*q - q**3 - 388*q**2 = 0.
-2, 17
Suppose -p = -4*o + 7, 5 = o - 3*p + 6. Let n(m) be the second derivative of 33*m + 0 + 8*m**o - 8*m**3 - 6/5*m**5 + 2/15*m**6 + 13/3*m**4. Factor n(z).
4*(z - 2)**2*(z - 1)**2
Let h(s) be the first derivative of s**6/960 - s**5/160 - s**4/192 + s**3/16 - s**2 + 2*s - 149. Let j(n) be the second derivative of h(n). Factor j(x).
(x - 3)*(x - 1)*(x + 1)/8
Suppose -2*r - 26*r + 112 = 0. Factor -5646 - 210*m**3 - 5*m**r - 94*m**2 + 3646 - 4200*m - 2311*m**2.
-5*(m + 1)**2*(m + 20)**2
Let y(s) be the first derivative of 8/39*s**3 - 30 + 1/39*s**6 + 2/13*s**5 + 4/13*s**4 + 0*s**2 + 0*s. Factor y(m).
2*m**2*(m + 1)*(m + 2)**2/13
Let -80*a - 1/3*a**2 + 484/3 = 0. Calculate a.
-242, 2
Suppose 3*y + 4*s = 64, -2*y + 1577 = -3*s + 1608. Solve -2/5*d**y + 8/5*d**3 + 26/5*d**2 - 24/5 - 8/5*d = 0.
-2, -1, 1, 6
Let s(y) be the second derivative of y**7/315 - y**6/180 - y**5/90 + y**4/36 + 19*y**2/2 + 2*y + 3. Let h(p) be the first derivative of s(p). Factor h(z).
2*z*(z - 1)**2*(z + 1)/3
Suppose 12*q + 104 = -q. Let t be (q/(-24) + 1)/((-2)/(-9)). Suppose -9/2*s - 3 - 3*s**4 + t*s**2 + 9/2*s**3 = 0. What is s?
-1, -1/2, 1, 2
Let x be -4 + (-10 - -12)*2. Let b(y) be the third derivative of 0 - 1/70*y**7 + 0*y**3 + x*y + 1/20*y**5 + 1/8*y**4 - 1/40*y**6 + 8*y**2. Factor b(a).
-3*a*(a - 1)*(a + 1)**2
Let f(x) = -7*x**2 - 8*x + 6. Let p(u) be the third derivative of -2*u**5/15 - u**4/3 + 7*u**3/6 - 60*u**2. Let i(j) = -7*f(j) + 6*p(j). Factor i(v).
v*(v + 8)
Let p(k) = k**2 - 8*k + 3. Let i be p(8). Let v(z) be the first derivative of 5 - 2*z**3 - 1/2*z**4 - i*z**2 - 2*z. Suppose v(t) = 0. Calculate t.
-1
Suppose 111*l - 116*l + 45 = -5*n, 0 = n - 18*l + 162. Factor 0 + 1/5*p**3 + n*p - 1/5*p**2.
p**2*(p - 1)/5
Suppose -4*h - 251 = -259. Factor -j + 6 + 189*j**3 - 195*j**3 - 16*j**2 - 3*j**h.
-(j + 3)*(2*j - 1)*(3*j + 2)
Suppose -3*w - 4*o + 2*o = 3011, 3*w + 3006 = -3*o. Let c = w - -1011. Factor -2/5*m + 0*m**3 + 0 - 1/5*m**c + 3/5*m**2.
-m*(m - 1)**2*(m + 2)/5
What is m in -330*m + 144*m**2 + 5445 + 121*m**2 + 111*m**2 - 371*m**2 = 0?
33
Let v(i) = -28*i + 1430. Let g be v(51). Factor 8/5 + 56/5*r + 14*r**g + 22/5*r**3.
2*(r + 1)*(r + 2)*(11*r + 2)/5
Let i(k) be the first derivative of -11 - k**3 + 0*k + 3*k**2 - 3/2*k**4 + 3/5*k**5. Factor i(a).
3*a*(a - 2)*(a - 1)*(a + 1)
Solve -442/11*a**2 + 6/11*a**5 + 58/11*a**4 - 6/11*a**3 - 600/11*a - 216/11 = 0 for a.
-9, -2, -1, -2/3, 3
Let 774*y + 639 - 22*y**3 - 70*y**2 + 1684*y**4 + 981 - 1682*y**4 = 0. What is y?
-5, -2, 9
Let l be (-111)/(-39) - (-8)/52. Suppose -32*v**2 - 64*v + 1 + 1141*v**3 - 1 - 1145*v**l = 0. What is v?
-4, 0
Suppose 4*v = -o + 24, -326 = 4*v - 346. Let r(x) be the second derivative of -1/4*x**o - 6*x**3 + 28*x - 54*x**2 + 0. Let r(f) = 0. What is f?
-6
Let l be -6 - (-6 + 0/1). Factor 10/13*b**2 + 2/13*b**3 + 0 + l*b.
2*b**2*(b + 5)/13
Let t be -7 + 211 + (1 - 1). Let d be t/60 + 4/(-10). Suppose 7*h + 0*h**d - 8*h + h**3 = 0. Calculate h.
-1, 0, 1
Let h(y) = 4*y**2 + y + 23. Let m be h(0). Factor 30*q**2 + m*q**3 - 30*q + 40 - 30*q - 28*q**3.
-5*(q - 2)**3
Solve -1947*t**2 + 2976*t + 84 - 1133 - 103 + 25*t**2 = 0.
24/31
Let b(o) be the second derivative of 51*o + 1/6*o**3 + 0 - 1/12*o**4 + 10*o**2. Let b(h) = 0. What is h?
-4, 5
Let k = -1367203/2 + 683603. Determine j, given that -9/2*j**2 + 3*j**3 + 6 - 6*j + k*j**4 = 0.
-2, 1
Let -35*i**5 - 313*i + 440*i**3 + 270 - 415*i - 60*i**4 - 146*i + 510*i**2 - 251*i = 0. Calculate i.
-3, 2/7, 1, 3
Determine s so that -1/5*s**2 - 22801/5 - 302/5*s = 0.
-151
Let c be (-3)/(-4) + 5 + ((-33)/22 - -4). Factor -c*g**3 + 363/8*g**2 + 0 + 3/8*g**4 + 0*g.
3*g**2*(g - 11)**2/8
Suppose -42*f - 92*f = 133*f - 1068. Let y(z) be the third derivative of 1/2*z**f + 28*z**2 + 0*z + 12*z**3 + 1/120*z**5 + 0. Solve y(m) = 0 for m.
-12
Factor -61008*l**2 - 30752*l + 492*l**4 - 28416*l**3 - 276446*l**5 - 1346*l**3 + 552887*l**5 - 276443*l**5.
-2*l*(l - 124)**2*(l + 1)**2
Let u = -392488/5 - -78498. Determine q so that -2*q**3 + u*q**5 + 8/5*q + 0 - 6/5*q**2 + 6/5*q**4 = 0.
-4, -1, 0, 1
Let f be 201/(-670) - ((-2)/(-60))/(26/(-3354)). Determine n, given that -4/9*n**2 - 4/9 + 2/9*n**5 + 8/9*n**f + 8/9*n**3 - 10/9*n = 0.
-2, -1, 1
Find t, given that 0 - 1/2*t**4 + 9/2*t + 7/2*t**3 - 15/2*t**2 = 0.
0, 1, 3
Let o(x) be the second derivative of x**6/120 + x**5/40 + 55*x**3/3 - 20*x - 2. Let k(w) be the second derivative of o(w). Let k(t) = 0. Calculate t.
-1, 0
Let d = -852 - -856. Suppose 2*h + 25 = 3*g, 0 = d*g - h - 17 - 8. Solve 4*c**3 + 12 - 10*c - 32/3*c**2 + 2/3*c**g + 4*c**4 = 0 for c.
-3, -2, 1
Factor -76/11 - 74/11*l + 2/11*l**2.
2*(l - 38)*(l + 1)/11
Let w be 3*(-4)/(-30) - 154/35. Let m(o) = -6*o - 4. Let b be m(w). Let -2*t + 12*t**4 + b*t**2 - 9*t + 13*t - 28*t**3 - 6*t = 0. Calculate t.
0, 1/3, 1
Let v(h) be the second derivative of 12*h + 0*h**2 + 1/4*h**4 + 2/5*h**6 - 3/4*h**5 + 0 + 0*h**3. Solve v(m) = 0 for m.
0, 1/4, 1
Let p(j) be the first derivative of -j**4/20 + 418*j**3/15 + 419*j**2/10 + 2293. Determine m so that p(m) = 0.
-1, 0, 419
Factor 27*h**2 + 18*h**3 + 13*h**4 - 25*h**4 - 36 + 8*h**4 - 12*h + 7*h**4.
3*(h - 1)*(h + 2)**2*(h + 3)
Let a(c) be the third derivative of -c**7/105 - 107*c**6/60 - 1403*c**5/15 + 261*c**4 + 1944*c**3 - 1138*c**2 + 2. Suppose a(l) = 0. What is l?
-54, -1, 2
Let j(c) = -21291*c**4 + 39683*c**3 + 5671*c**2 + 257*c + 4. Let z(u) = u**4 - u**3 - u**2 - u. Let b(y) = j(y) - 5*z(y). Find k, given that b(k) = 0.
-1/22, 2
Let c(t) be the first derivative of -4/21*t + 53 - 1/7*t**2 - 2/63*t**3. Factor c(l).
-2*(l + 1)*(l + 2)/21
Let f be (-8 + 45/5)/((-2)/(60/(-50))). Determine o so that 4/5*o - 1/5*o**4 - f*o**2 + 4/5 - 4/5*o**3 = 0.
-2, -1, 1
Let j(f) be the third derivative of 0*f**3 + 0 + 0*f + 0*f**4 - 2/315*f**7 - 16/45*f**5 + 48*f**2 + 4/45*f**6. Find b, given that j(b) = 0.
0, 4
Let i(k) = -10*k + 92. Let l(w) = -7*w - 131. Let b be l(-20). Let a be i(b). Suppose 8 + 3*d**3 + 1/2*d**a + 1/2*d**4 - 12*d = 0. What is d?
-4, 1
Suppose 12*j - 56 = -8. Let d = -1690 + 3381/2. Find r such that 0*r**2 - 1/4*r**j - d*r**3 + 1/4 + 1/2*r = 0.
-1, 1
Let r = 8545/717 + -60/239. Let y(f) be the first derivative of 9 - 5*f**2 + r*f**3 - 5*f - 5*f**4. Factor y(a).
-5*(a - 1)**2*(4*a + 1)
Suppose 3*j - 30 = -96*c + 93*c, 0 = 3*j + 10*c - 100. Find w such that j + 99/4*w**4 + 3*w**2 + 0*w + 15*w**3 + 27/2*w**5 = 0.
-2/3, -1/2, 0
Let g = -74 - -77. Suppose 0 = -4*b + g*b + k + 5, 5*b - 2*k - 16 = 0. Factor -6 + 381*m - 6 - m**b - 366*m - 2*m**2.
-3*(m - 4)*(m - 1)
Let h(n) be the third derivative of -1/3*n**4 + 3*n**2 + 9/35*n**5 - 2/35*n**6 + 0*n**3 + 0 + 3*n - 2/735*n**7. Factor h(a).
-4*a*(a - 1)**2*(a + 14)/7
Let u(q) be the first derivative of -5/8*q**2 + 9*q - 5/3*q**3 + 14 - 5/3*q**4. Let v(x) be the first derivative of u(x). Find g, given that v(g) = 0.
-1/4
Let i = 229507/3 + -76502. Factor 8/3*f**2 + 2/3*f**3 + 3 - i*f**4 - 6*f.
-(f - 3)*(f - 1)**2*(f + 3)/3
Factor -1/4*d**3 - 21/4*d + 0 - 11/2*d**2.
-d*(d + 1)*(d + 21)/4
Let q = -693 - -695. Suppose -20*y**4 - 36 - 551*y + 563*y + 46*y**2 - 4*y**5 - 8*y**3 + 10*y**q = 0. Calculate y.
-3, -1, 1
Factor 3973*f + 2685*f + 5702544 - 391*f + 3285*f + 4*f**2.
4*(f + 1194)**2
Let h(n) be the second derivative of -4*n**4 + 5/2*n**3 + 0 + 1/14