 5*f**3 + 11*f**u + 5 + 12*f - f**3.
4*(f + 1)**3
Let r = -2254/1335 + 174/89. Let l(u) be the first derivative of 2/5*u + 24 + 3/5*u**2 + r*u**3. Factor l(x).
2*(x + 1)*(2*x + 1)/5
Let y(o) be the second derivative of 0*o**3 - 1/5*o**5 + 0*o**6 - 16*o + 0*o**2 + 0*o**4 + 2/21*o**7 + 2. Factor y(h).
4*h**3*(h - 1)*(h + 1)
Let q(z) be the first derivative of -z**6/240 + 3*z**5/5 - 36*z**4 + 76*z**3/3 - 27. Let p(v) be the third derivative of q(v). Solve p(o) = 0 for o.
24
What is h in -2242*h**4 - 515520*h - 345600 + 1072*h**3 + 2239*h**4 - 168486*h**2 + 359*h**3 = 0?
-2, -1, 240
Suppose 46 = 1909*p - 1886*p. Find c, given that -2/3*c**4 - 256 - 80*c**p - 704/3*c - 12*c**3 = 0.
-6, -4
Let r(d) be the first derivative of -3*d**4/4 + 651*d**3 - 158436*d**2 - 318828*d - 5210. Factor r(w).
-3*(w - 326)**2*(w + 1)
Let f = 162 - 160. Let u = 290357/7 - 41479. Find r such that 22/7*r**f + u + 26/7*r = 0.
-1, -2/11
Let j(u) be the second derivative of -97*u + 0 + 7/36*u**4 + 25/6*u**3 - 11/3*u**2. Factor j(w).
(w + 11)*(7*w - 2)/3
Let p(g) be the first derivative of 10 + 27/22*g**2 + 3/11*g**3 + 27/11*g + 1/44*g**4. Factor p(l).
(l + 3)**3/11
Let a(p) = -2*p**4 - 4*p**3 + 8*p**2 + 2*p - 4. Let l(u) = 6 - 40*u**4 - 4*u**3 + u + 8*u**2 - 9 + 38*u**4. Let f(d) = -6*a(d) + 4*l(d). Factor f(q).
4*(q - 1)**2*(q + 1)*(q + 3)
What is a in -56/5*a + 134/5*a**2 - 102/5*a**3 + 0 - 2/5*a**5 + 26/5*a**4 = 0?
0, 1, 4, 7
Let r(p) be the third derivative of -p**6/240 - p**5/20 - p**4/6 - p**2 + p - 3235. Find n such that r(n) = 0.
-4, -2, 0
Let h(b) be the first derivative of -4/3*b**3 - 2/5*b**5 + 6*b + 2*b**4 - 4*b**2 + 59. Factor h(i).
-2*(i - 3)*(i - 1)**2*(i + 1)
Let a(f) be the first derivative of 0*f - 22/5*f**2 + 235 + 46/15*f**3 - 1/10*f**4. Factor a(j).
-2*j*(j - 22)*(j - 1)/5
Let r be -1 + -5*(-290)/1350. Let a(c) be the first derivative of -1/6*c**4 + r*c**3 + 0*c**2 + 0*c - 8/45*c**5 + 5. Factor a(d).
-2*d**2*(d + 1)*(4*d - 1)/9
Suppose -1149 = 5*q - 1179. Let s(c) be the second derivative of 1/25*c**5 + 0 - 2/15*c**3 + 1/150*c**q - 1/60*c**4 + 0*c**2 + 20*c. Factor s(m).
m*(m - 1)*(m + 1)*(m + 4)/5
Suppose 4193*m = 4216*m - 92. Let y(v) be the third derivative of 1/12*v**m + 0*v**3 + 0*v + 1/210*v**7 + 0*v**6 + 0 - 1/20*v**5 + 7*v**2. Factor y(c).
c*(c - 1)**2*(c + 2)
Let u(r) be the first derivative of -3*r**2 - 4/9*r + 31 + 58/27*r**3. Suppose u(x) = 0. Calculate x.
-2/29, 1
Suppose 2*i + 14 = 2*b - 8, 4*b - i = 35. Factor b + z**2 + 4 + 4*z**2 - 8*z**2.
-3*(z - 2)*(z + 2)
Let f be (-79 + -5)*(-20)/12*6/45. Factor 20/3 - 14*y + 2*y**3 - f*y**2.
2*(y - 10)*(y + 1)*(3*y - 1)/3
Let r = 55 - 17. Suppose 3*d - 14 = 3*k - r, 3*d = -5*k + 16. Factor -2*z + 5*z + 4*z + k + 3*z - 15*z**2.
-5*(z - 1)*(3*z + 1)
Let v be 1*(-28)/49 + 5482/14. Let v*k - 163*k + 3*k**2 - 2*k**2 + 3*k**2 = 0. Calculate k.
-57, 0
Let c(w) be the first derivative of 7*w**3/12 + 19*w**2/8 - 9629. Solve c(b) = 0 for b.
-19/7, 0
Let a = -219 + 221. Solve -59*n**a - 5*n + 4 + 31*n**2 + 29*n**2 = 0 for n.
1, 4
Let w(t) be the third derivative of 0 + 0*t - 1/240*t**6 + 1/20*t**5 + 7/48*t**4 - 1/210*t**7 - 26*t**2 + 1/6*t**3. Find r such that w(r) = 0.
-1, -1/2, 2
Let r(h) be the first derivative of 2*h**3/9 - 3*h**2 + 28*h/3 - 4367. Factor r(z).
2*(z - 7)*(z - 2)/3
Let n(y) = 98*y - 588. Let d be n(6). Let j(b) be the second derivative of 1/36*b**4 + 1/120*b**5 + d*b**2 + 0*b**3 + 0 - 8*b. Factor j(v).
v**2*(v + 2)/6
Let n(f) = 25*f - 15. Let d be n(5). Factor 152 + 3*m**2 - d + 214*m - 187*m.
3*(m + 2)*(m + 7)
Let l = 11881/15 + -792. Let y(a) be the third derivative of 0*a - l*a**5 + 0*a**3 + 1/30*a**6 - 1/6*a**4 + 0 + 2/105*a**7 - 16*a**2. Find j such that y(j) = 0.
-1, 0, 1
Let f(a) = -111*a**3 - 12*a + 4 + 3*a**2 + 3*a**2 + 110*a**3. Let g(k) = -1. Let u(i) = f(i) - 4*g(i). Factor u(p).
-(p - 2)**3
Let j(g) be the second derivative of -g**7/2520 - g**6/24 - 15*g**5/8 + 23*g**4/12 + g**3/6 - g - 5. Let w(i) be the third derivative of j(i). Factor w(o).
-(o + 15)**2
Suppose 0 = 7*t + 68 - 236. Factor -2*z**3 - 4374*z**2 - 69905*z - 531441 - 130*z**3 - 8827*z - z**4 + t*z**3.
-(z + 27)**4
Let l(w) be the second derivative of -w**5/10 - 10*w**4/3 + 67*w**3/3 - 46*w**2 + 8865*w. Factor l(f).
-2*(f - 2)*(f - 1)*(f + 23)
Let k(y) = 149*y**2 + 6*y - 29. Let u be k(3). Find p such that 4*p**4 - 5184*p + 284*p**3 + 0*p**4 + u*p**2 + 3566*p**2 = 0.
-36, 0, 1
Let w(s) be the first derivative of -25*s**6/12 + 19*s**5/3 + 11*s**4/3 - 40*s**3/3 - 44*s**2/3 - 16*s/3 + 734. Solve w(u) = 0 for u.
-2/3, -2/5, 2
Suppose 0 = 15*z - 0*z - 45. Let 8429 + 195*f**2 - 1405 + 1613*f + 3961 + 5*f**z + 922*f = 0. What is f?
-13
Let z(c) be the third derivative of -c**6/160 - c**5/4 - 9*c**4/8 + 2*c**2 + 4*c. Determine g so that z(g) = 0.
-18, -2, 0
Let f(y) be the third derivative of 0*y**4 - 24*y**2 + 0 + 0*y**3 + 0*y - 1/100*y**6 - 1/210*y**7 + 0*y**5 + 1/1680*y**8. Determine s, given that f(s) = 0.
-1, 0, 6
Let b = 492 + 11479. Suppose -4*g + 9*g = -3*m + b, -5*m - 2411 = -g. Factor -127*k**3 + 37*k**3 - 40*k + 100*k**2 - 2401*k**5 + 35*k**4 + g*k**5.
-5*k*(k - 2)**3*(k - 1)
Let i(n) be the second derivative of -n**7/1365 - n**6/390 + n**5/390 + n**4/78 + 2*n**2 - 37*n. Let d(k) be the first derivative of i(k). Solve d(c) = 0.
-2, -1, 0, 1
Let h(q) be the first derivative of 0*q**3 - 36/11*q + 19 + 3/22*q**4 - 21/11*q**2. Factor h(u).
6*(u - 3)*(u + 1)*(u + 2)/11
Let b be 3 + -2 - 1/(6 - 5). Determine a so that -2*a**2 - 37 + b*a**2 - 47 + 0*a**2 + 24 + 62*a = 0.
1, 30
Let n be (-5 - 330/(-90)) + (-8)/(-6). Let c(a) be the third derivative of -1/60*a**6 - 1/30*a**5 + n*a + 0 - 7*a**2 + 1/3*a**3 + 1/12*a**4. Factor c(b).
-2*(b - 1)*(b + 1)**2
Let y be 1032/144 - 7 - (-1)/(-6). Let c(d) be the first derivative of -d**4 + 2*d**2 - 16 + 4/3*d**3 - 4/5*d**5 + y*d. Let c(x) = 0. What is x?
-1, 0, 1
Let b(t) be the first derivative of -t**3/9 - 5*t**2/6 + 8*t - 844. Suppose b(x) = 0. Calculate x.
-8, 3
Suppose 0 = -14*l - 19*l - 3960. Let c be (-500)/l + (3 + -2)*-2. Find k such that 0 - c*k**2 - 1/3*k**4 - 7/2*k**3 - 1/3*k + 4/3*k**5 = 0.
-1, -1/2, -1/4, 0, 2
Let o be (-7)/(189/(-3)) - (-51)/27. Find k such that -3*k**4 - 8*k**o + 6*k**4 + 14*k - 4*k**5 + 5*k**4 - 10*k = 0.
-1, 0, 1
Let p(r) be the first derivative of -r**2/2 - 5*r + 13. Let u be p(-7). What is s in -9 - 4 + 2*s**3 + 11 - 2*s + u*s**2 = 0?
-1, 1
Let q(n) be the first derivative of -2*n**3/39 + 1217*n**2/13 + 3001. What is j in q(j) = 0?
0, 1217
Let c(k) be the second derivative of -k**4 + 1/6*k**7 + 2/3*k**3 - 11/20*k**5 + 0 + 64*k + 0*k**2 + 2/5*k**6. Determine s, given that c(s) = 0.
-2, -1, 0, 2/7, 1
Let a = -253 - -252. Let y(c) = 2*c**2 - 1. Let j(s) = 2*s + 1. Let m(h) = a*y(h) - j(h). Determine f so that m(f) = 0.
-1, 0
Suppose -4*p + 4*l = 4, -3*l = -p + 2*l - 17. Let x(a) = -45*a + 4547. Let m be x(101). Factor 24 - 2*r**3 + 3*r**3 - 30*r + 4*r**2 + m*r**p - r**2.
3*(r - 2)*(r - 1)*(r + 4)
Let x = 9102 - 9102. Find p such that x + 21/4*p**2 + 3/2*p - 3/4*p**4 - 3/2*p**5 + 9/2*p**3 = 0.
-1, -1/2, 0, 2
Let o(q) = 60*q**3 + 125*q**2 + 70*q + 25. Let m(p) = -p**4 + p**3 - p**2 - 2*p + 5. Let b(z) = -5*m(z) + o(z). Suppose b(u) = 0. What is u?
-8, -2, -1, 0
Suppose -2*a + 10 = 0, -d + 2*a = -2*d + 6054. Factor -3*o**2 - o**2 - 3318 + 1541 + 77 - d - 352*o.
-4*(o + 44)**2
Factor -1222149 + 184*y**3 - 2*y**4 + 186*y**2 + 1222149.
-2*y**2*(y - 93)*(y + 1)
Suppose 11125 + 10715 = -105*x. Let y be 1/4 - (-5 + x/(-64)). Solve -1/4*p**2 + y - 1/2*p = 0.
-4, 2
Let i be 18614/14755 + (-6)/13. Factor 0*f + f**5 + 0 + i*f**3 - 12/5*f**4 + 0*f**2.
f**3*(f - 2)*(5*f - 2)/5
Let p = 3265 + -1601. Suppose -5*x + 3*x + p = 0. Factor -x*l + 120*l**2 + 5*l**4 - 22*l**3 - 18*l**3 + 80 + 672*l.
5*(l - 2)**4
Let o(n) be the second derivative of 9*n**6/16 - 477*n**5/160 + 73*n**4/32 - 7*n**3/48 - 3*n**2/8 + 3448*n. Solve o(y) = 0.
-2/15, 1/3, 3
Let v(p) be the second derivative of -p**5/10 - p**2/2 - 2*p + 8. Let d(u) = -27*u**3 + 39*u**2 - 12*u - 18. Let g(l) = -d(l) + 6*v(l). Solve g(z) = 0.
-2/5, 1, 2
Let n(i) be the first derivative of -i**5/15 + 3*i**4/2 - 104*i**3/9 + 37*i**2 - 45*i + 635. What is w in n(w) = 0?
1, 3, 5, 9
Let g(y) be the second derivative of